<?xml version="1.0" encoding="US-ASCII"?>
<!--XBRL Document Created with Wdesk from Workiva-->
<!-- -->
<link:linkbase xsi:schemaLocation="http://www.xbrl.org/2003/linkbase http://www.xbrl.org/2003/xbrl-linkbase-2003-12-31.xsd" xmlns:link="http://www.xbrl.org/2003/linkbase" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
  <link:roleRef roleURI="http://www.aep.com/role/BenefitPlans" xlink:href="aep-20180930.xsd#BenefitPlans" xlink:type="simple" />
  <link:roleRef roleURI="http://www.aep.com/role/BenefitPlansDetails" xlink:href="aep-20180930.xsd#BenefitPlansDetails" xlink:type="simple" />
  <link:roleRef roleURI="http://www.aep.com/role/BenefitPlansTables" xlink:href="aep-20180930.xsd#BenefitPlansTables" xlink:type="simple" />
  <link:roleRef roleURI="http://www.aep.com/role/BusinessSegments" xlink:href="aep-20180930.xsd#BusinessSegments" xlink:type="simple" />
  <link:roleRef roleURI="http://www.aep.com/role/BusinessSegmentsDetails" xlink:href="aep-20180930.xsd#BusinessSegmentsDetails" xlink:type="simple" />
  <link:roleRef roleURI="http://www.aep.com/role/BusinessSegmentsTables" xlink:href="aep-20180930.xsd#BusinessSegmentsTables" xlink:type="simple" />
  <link:roleRef roleURI="http://www.aep.com/role/CommitmentsGuaranteesAndContingencies" xlink:href="aep-20180930.xsd#CommitmentsGuaranteesAndContingencies" xlink:type="simple" />
  <link:roleRef roleURI="http://www.aep.com/role/CommitmentsGuaranteesAndContingenciesDetails" xlink:href="aep-20180930.xsd#CommitmentsGuaranteesAndContingenciesDetails" xlink:type="simple" />
  <link:roleRef roleURI="http://www.aep.com/role/CommitmentsGuaranteesAndContingenciesTables" xlink:href="aep-20180930.xsd#CommitmentsGuaranteesAndContingenciesTables" xlink:type="simple" />
  <link:roleRef roleURI="http://www.aep.com/role/ComprehensiveIncome" xlink:href="aep-20180930.xsd#ComprehensiveIncome" xlink:type="simple" />
  <link:roleRef roleURI="http://www.aep.com/role/ComprehensiveIncomeDetails" xlink:href="aep-20180930.xsd#ComprehensiveIncomeDetails" xlink:type="simple" />
  <link:roleRef roleURI="http://www.aep.com/role/ComprehensiveIncomeTables" xlink:href="aep-20180930.xsd#ComprehensiveIncomeTables" xlink:type="simple" />
  <link:roleRef roleURI="http://www.aep.com/role/CondensedConsolidatedBalanceSheets" xlink:href="aep-20180930.xsd#CondensedConsolidatedBalanceSheets" xlink:type="simple" />
  <link:roleRef roleURI="http://www.aep.com/role/CondensedConsolidatedBalanceSheetsParenthetical" xlink:href="aep-20180930.xsd#CondensedConsolidatedBalanceSheetsParenthetical" xlink:type="simple" />
  <link:roleRef roleURI="http://www.aep.com/role/CondensedConsolidatedStatementsOfCashFlows" xlink:href="aep-20180930.xsd#CondensedConsolidatedStatementsOfCashFlows" xlink:type="simple" />
  <link:roleRef roleURI="http://www.aep.com/role/CondensedConsolidatedStatementsOfChangesInEquity" xlink:href="aep-20180930.xsd#CondensedConsolidatedStatementsOfChangesInEquity" xlink:type="simple" />
  <link:roleRef roleURI="http://www.aep.com/role/ConsolidatedStatementsOfComprehensiveIncomeLoss" xlink:href="aep-20180930.xsd#ConsolidatedStatementsOfComprehensiveIncomeLoss" xlink:type="simple" />
  <link:roleRef roleURI="http://www.aep.com/role/ConsolidatedStatementsOfComprehensiveIncomeLossParenthetical" xlink:href="aep-20180930.xsd#ConsolidatedStatementsOfComprehensiveIncomeLossParenthetical" xlink:type="simple" />
  <link:roleRef roleURI="http://www.aep.com/role/ConsolidatedStatementsOfIncome" xlink:href="aep-20180930.xsd#ConsolidatedStatementsOfIncome" xlink:type="simple" />
  <link:roleRef roleURI="http://www.aep.com/role/DerivativesAndHedging" xlink:href="aep-20180930.xsd#DerivativesAndHedging" xlink:type="simple" />
  <link:roleRef roleURI="http://www.aep.com/role/DerivativesAndHedgingDetails" xlink:href="aep-20180930.xsd#DerivativesAndHedgingDetails" xlink:type="simple" />
  <link:roleRef roleURI="http://www.aep.com/role/DerivativesAndHedgingPolicies" xlink:href="aep-20180930.xsd#DerivativesAndHedgingPolicies" xlink:type="simple" />
  <link:roleRef roleURI="http://www.aep.com/role/DerivativesAndHedgingTables" xlink:href="aep-20180930.xsd#DerivativesAndHedgingTables" xlink:type="simple" />
  <link:roleRef roleURI="http://www.aep.com/role/DispostionsAndImpairments" xlink:href="aep-20180930.xsd#DispostionsAndImpairments" xlink:type="simple" />
  <link:roleRef roleURI="http://www.aep.com/role/DispostionsAndImpairmentsDetails" xlink:href="aep-20180930.xsd#DispostionsAndImpairmentsDetails" xlink:type="simple" />
  <link:roleRef roleURI="http://www.aep.com/role/DocumentAndEntityInformation" xlink:href="aep-20180930.xsd#DocumentAndEntityInformation" xlink:type="simple" />
  <link:roleRef roleURI="http://www.aep.com/role/FairValueAssetsAndLiabilitiesDetails" xlink:href="aep-20180930.xsd#FairValueAssetsAndLiabilitiesDetails" xlink:type="simple" />
  <link:roleRef roleURI="http://www.aep.com/role/FairValueLongTermDebtOtherTemporaryInvestmentsNuclearTrustsDetails" xlink:href="aep-20180930.xsd#FairValueLongTermDebtOtherTemporaryInvestmentsNuclearTrustsDetails" xlink:type="simple" />
  <link:roleRef roleURI="http://www.aep.com/role/FairValueMeasurements" xlink:href="aep-20180930.xsd#FairValueMeasurements" xlink:type="simple" />
  <link:roleRef roleURI="http://www.aep.com/role/FairValueMeasurementsPolicies" xlink:href="aep-20180930.xsd#FairValueMeasurementsPolicies" xlink:type="simple" />
  <link:roleRef roleURI="http://www.aep.com/role/FairValueMeasurementsTables" xlink:href="aep-20180930.xsd#FairValueMeasurementsTables" xlink:type="simple" />
  <link:roleRef roleURI="http://www.aep.com/role/FinancingActivities" xlink:href="aep-20180930.xsd#FinancingActivities" xlink:type="simple" />
  <link:roleRef roleURI="http://www.aep.com/role/FinancingActivitiesDetails" xlink:href="aep-20180930.xsd#FinancingActivitiesDetails" xlink:type="simple" />
  <link:roleRef roleURI="http://www.aep.com/role/FinancingActivitiesTables" xlink:href="aep-20180930.xsd#FinancingActivitiesTables" xlink:type="simple" />
  <link:roleRef roleURI="http://www.aep.com/role/IncomeTaxes" xlink:href="aep-20180930.xsd#IncomeTaxes" xlink:type="simple" />
  <link:roleRef roleURI="http://www.aep.com/role/IncomeTaxesDetails" xlink:href="aep-20180930.xsd#IncomeTaxesDetails" xlink:type="simple" />
  <link:roleRef roleURI="http://www.aep.com/role/IncomeTaxesTables" xlink:href="aep-20180930.xsd#IncomeTaxesTables" xlink:type="simple" />
  <link:roleRef roleURI="http://www.aep.com/role/NewAccountingPronouncements" xlink:href="aep-20180930.xsd#NewAccountingPronouncements" xlink:type="simple" />
  <link:roleRef roleURI="http://www.aep.com/role/RateMatters" xlink:href="aep-20180930.xsd#RateMatters" xlink:type="simple" />
  <link:roleRef roleURI="http://www.aep.com/role/RateMattersEastCompaniesDetails" xlink:href="aep-20180930.xsd#RateMattersEastCompaniesDetails" xlink:type="simple" />
  <link:roleRef roleURI="http://www.aep.com/role/RateMattersRegulatedOperationsDetails" xlink:href="aep-20180930.xsd#RateMattersRegulatedOperationsDetails" xlink:type="simple" />
  <link:roleRef roleURI="http://www.aep.com/role/RateMattersTables" xlink:href="aep-20180930.xsd#RateMattersTables" xlink:type="simple" />
  <link:roleRef roleURI="http://www.aep.com/role/RateMattersWestCompaniesDetails" xlink:href="aep-20180930.xsd#RateMattersWestCompaniesDetails" xlink:type="simple" />
  <link:roleRef roleURI="http://www.aep.com/role/RevenueFromContractsWithCustomers" xlink:href="aep-20180930.xsd#RevenueFromContractsWithCustomers" xlink:type="simple" />
  <link:roleRef roleURI="http://www.aep.com/role/RevenueFromContractsWithCustomersDetails" xlink:href="aep-20180930.xsd#RevenueFromContractsWithCustomersDetails" xlink:type="simple" />
  <link:roleRef roleURI="http://www.aep.com/role/RevenueFromContractsWithCustomersTables" xlink:href="aep-20180930.xsd#RevenueFromContractsWithCustomersTables" xlink:type="simple" />
  <link:roleRef roleURI="http://www.aep.com/role/SignificantAccountingMatters" xlink:href="aep-20180930.xsd#SignificantAccountingMatters" xlink:type="simple" />
  <link:roleRef roleURI="http://www.aep.com/role/SignificantAccountingMattersDetails" xlink:href="aep-20180930.xsd#SignificantAccountingMattersDetails" xlink:type="simple" />
  <link:roleRef roleURI="http://www.aep.com/role/SignificantAccountingMattersPolicies" xlink:href="aep-20180930.xsd#SignificantAccountingMattersPolicies" xlink:type="simple" />
  <link:roleRef roleURI="http://www.aep.com/role/SignificantAccountingMattersTables" xlink:href="aep-20180930.xsd#SignificantAccountingMattersTables" xlink:type="simple" />
  <link:roleRef roleURI="http://www.aep.com/role/VariableInterestEntities" xlink:href="aep-20180930.xsd#VariableInterestEntities" xlink:type="simple" />
  <link:roleRef roleURI="http://www.aep.com/role/VariableInterestEntitiesDetails" xlink:href="aep-20180930.xsd#VariableInterestEntitiesDetails" xlink:type="simple" />
  <link:roleRef roleURI="http://www.aep.com/role/VariableInterestEntitiesTables" xlink:href="aep-20180930.xsd#VariableInterestEntitiesTables" xlink:type="simple" />
  <link:roleRef roleURI="http://www.aep.com/role/VariableInterestEntitiesVariableInterestEntitiesPolicies" xlink:href="aep-20180930.xsd#VariableInterestEntitiesVariableInterestEntitiesPolicies" xlink:type="simple" />
  <link:calculationLink xlink:role="http://www.aep.com/role/BenefitPlans" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.aep.com/role/BenefitPlansDetails" xlink:type="extended">
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_DefinedBenefitPlanNetPeriodicBenefitCost" xlink:label="loc_us-gaap_DefinedBenefitPlanNetPeriodicBenefitCost_f8c4af80-3396-31ad-927b-214035fcad4c" xlink:type="locator" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_DefinedBenefitPlanServiceCost" xlink:label="loc_us-gaap_DefinedBenefitPlanServiceCost_50c65441-5a4a-7b70-8a6f-4bdf84901dd7" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DefinedBenefitPlanNetPeriodicBenefitCost_f8c4af80-3396-31ad-927b-214035fcad4c" xlink:to="loc_us-gaap_DefinedBenefitPlanServiceCost_50c65441-5a4a-7b70-8a6f-4bdf84901dd7" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_DefinedBenefitPlanInterestCost" xlink:label="loc_us-gaap_DefinedBenefitPlanInterestCost_cc5d4539-1440-3488-daaf-595604d399d2" xlink:type="locator" />
    <link:calculationArc order="2" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DefinedBenefitPlanNetPeriodicBenefitCost_f8c4af80-3396-31ad-927b-214035fcad4c" xlink:to="loc_us-gaap_DefinedBenefitPlanInterestCost_cc5d4539-1440-3488-daaf-595604d399d2" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_DefinedBenefitPlanExpectedReturnOnPlanAssets" xlink:label="loc_us-gaap_DefinedBenefitPlanExpectedReturnOnPlanAssets_9eb8402e-17f1-615b-f0e0-f772c38d36ef" xlink:type="locator" />
    <link:calculationArc order="3" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DefinedBenefitPlanNetPeriodicBenefitCost_f8c4af80-3396-31ad-927b-214035fcad4c" xlink:to="loc_us-gaap_DefinedBenefitPlanExpectedReturnOnPlanAssets_9eb8402e-17f1-615b-f0e0-f772c38d36ef" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_DefinedBenefitPlanAmortizationOfPriorServiceCostCredit" xlink:label="loc_us-gaap_DefinedBenefitPlanAmortizationOfPriorServiceCostCredit_ec71b0cf-49f0-3a78-6e16-666ec068d28b" xlink:type="locator" />
    <link:calculationArc order="4" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DefinedBenefitPlanNetPeriodicBenefitCost_f8c4af80-3396-31ad-927b-214035fcad4c" xlink:to="loc_us-gaap_DefinedBenefitPlanAmortizationOfPriorServiceCostCredit_ec71b0cf-49f0-3a78-6e16-666ec068d28b" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_DefinedBenefitPlanAmortizationOfGainsLosses" xlink:label="loc_us-gaap_DefinedBenefitPlanAmortizationOfGainsLosses_238da213-7798-05e5-0178-b455f068fdf8" xlink:type="locator" />
    <link:calculationArc order="5" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DefinedBenefitPlanNetPeriodicBenefitCost_f8c4af80-3396-31ad-927b-214035fcad4c" xlink:to="loc_us-gaap_DefinedBenefitPlanAmortizationOfGainsLosses_238da213-7798-05e5-0178-b455f068fdf8" xlink:type="arc" />
  </link:calculationLink>
  <link:calculationLink xlink:role="http://www.aep.com/role/BenefitPlansTables" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.aep.com/role/BusinessSegments" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.aep.com/role/BusinessSegmentsDetails" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.aep.com/role/BusinessSegmentsTables" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.aep.com/role/CommitmentsGuaranteesAndContingencies" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.aep.com/role/CommitmentsGuaranteesAndContingenciesDetails" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.aep.com/role/CommitmentsGuaranteesAndContingenciesTables" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.aep.com/role/ComprehensiveIncome" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.aep.com/role/ComprehensiveIncomeDetails" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.aep.com/role/ComprehensiveIncomeTables" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.aep.com/role/CondensedConsolidatedBalanceSheets" xlink:type="extended">
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_ShortTermBorrowings" xlink:label="loc_us-gaap_ShortTermBorrowings_422d7c41-753d-7765-5880-50978d071d31" xlink:type="locator" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_TransfersAccountedForAsSecuredBorrowingsAssociatedLiabilitiesCarryingAmount" xlink:label="loc_us-gaap_TransfersAccountedForAsSecuredBorrowingsAssociatedLiabilitiesCarryingAmount_9912eca3-81ec-b7ee-4489-91c994ccd380" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_ShortTermBorrowings_422d7c41-753d-7765-5880-50978d071d31" xlink:to="loc_us-gaap_TransfersAccountedForAsSecuredBorrowingsAssociatedLiabilitiesCarryingAmount_9912eca3-81ec-b7ee-4489-91c994ccd380" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_ShortTermBankLoansAndNotesPayable" xlink:label="loc_us-gaap_ShortTermBankLoansAndNotesPayable_6f09f98d-d632-7a35-fd1a-ae571cbda361" xlink:type="locator" />
    <link:calculationArc order="2" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_ShortTermBorrowings_422d7c41-753d-7765-5880-50978d071d31" xlink:to="loc_us-gaap_ShortTermBankLoansAndNotesPayable_6f09f98d-d632-7a35-fd1a-ae571cbda361" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_StockholdersEquity" xlink:label="loc_us-gaap_StockholdersEquity_6765f135-8c69-bebc-a116-d59a52a5b2f2" xlink:type="locator" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_CommonStockValue" xlink:label="loc_us-gaap_CommonStockValue_aefe3f0c-abe4-5b83-9a64-da77d8e253dd" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_6765f135-8c69-bebc-a116-d59a52a5b2f2" xlink:to="loc_us-gaap_CommonStockValue_aefe3f0c-abe4-5b83-9a64-da77d8e253dd" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_AdditionalPaidInCapital" xlink:label="loc_us-gaap_AdditionalPaidInCapital_6dca832a-861c-478d-b1a0-396533beb40d" xlink:type="locator" />
    <link:calculationArc order="2" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_6765f135-8c69-bebc-a116-d59a52a5b2f2" xlink:to="loc_us-gaap_AdditionalPaidInCapital_6dca832a-861c-478d-b1a0-396533beb40d" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_RetainedEarningsAccumulatedDeficit" xlink:label="loc_us-gaap_RetainedEarningsAccumulatedDeficit_a59bc5ae-63a0-c9bc-32f7-e2bd9f32bd26" xlink:type="locator" />
    <link:calculationArc order="3" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_6765f135-8c69-bebc-a116-d59a52a5b2f2" xlink:to="loc_us-gaap_RetainedEarningsAccumulatedDeficit_a59bc5ae-63a0-c9bc-32f7-e2bd9f32bd26" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax" xlink:label="loc_us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax_798442bf-12e1-d944-3fa1-8b797b67482e" xlink:type="locator" />
    <link:calculationArc order="4" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_6765f135-8c69-bebc-a116-d59a52a5b2f2" xlink:to="loc_us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax_798442bf-12e1-d944-3fa1-8b797b67482e" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_LiabilitiesAndStockholdersEquity" xlink:label="loc_us-gaap_LiabilitiesAndStockholdersEquity_63817d40-f759-fa9c-45a5-8bbbb36ed5c9" xlink:type="locator" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_Liabilities" xlink:label="loc_us-gaap_Liabilities_066608da-f041-4af6-3da0-95354b640e11" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquity_63817d40-f759-fa9c-45a5-8bbbb36ed5c9" xlink:to="loc_us-gaap_Liabilities_066608da-f041-4af6-3da0-95354b640e11" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_LiabilitiesCurrent" xlink:label="loc_us-gaap_LiabilitiesCurrent_2dcbbde2-9146-a0ba-7f6c-c71b481e0841" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_066608da-f041-4af6-3da0-95354b640e11" xlink:to="loc_us-gaap_LiabilitiesCurrent_2dcbbde2-9146-a0ba-7f6c-c71b481e0841" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_DueToRelatedPartiesCurrent" xlink:label="loc_us-gaap_DueToRelatedPartiesCurrent_4783dc20-aefc-5bce-a995-042d9fcf4dcc" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesCurrent_2dcbbde2-9146-a0ba-7f6c-c71b481e0841" xlink:to="loc_us-gaap_DueToRelatedPartiesCurrent_4783dc20-aefc-5bce-a995-042d9fcf4dcc" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_AccountsPayableCurrent" xlink:label="loc_us-gaap_AccountsPayableCurrent_c2c48170-d0ff-2c37-effc-ff5f53e30dcb" xlink:type="locator" />
    <link:calculationArc order="2" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesCurrent_2dcbbde2-9146-a0ba-7f6c-c71b481e0841" xlink:to="loc_us-gaap_AccountsPayableCurrent_c2c48170-d0ff-2c37-effc-ff5f53e30dcb" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_AccountsPayableRelatedPartiesCurrent" xlink:label="loc_us-gaap_AccountsPayableRelatedPartiesCurrent_c586b0c6-6009-c751-e398-2e98e01c4b3e" xlink:type="locator" />
    <link:calculationArc order="3" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesCurrent_2dcbbde2-9146-a0ba-7f6c-c71b481e0841" xlink:to="loc_us-gaap_AccountsPayableRelatedPartiesCurrent_c586b0c6-6009-c751-e398-2e98e01c4b3e" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_LongTermDebtCurrent" xlink:label="loc_us-gaap_LongTermDebtCurrent_0d8925ae-714a-26e4-aa69-2d9eac65a5c6" xlink:type="locator" />
    <link:calculationArc order="4" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesCurrent_2dcbbde2-9146-a0ba-7f6c-c71b481e0841" xlink:to="loc_us-gaap_LongTermDebtCurrent_0d8925ae-714a-26e4-aa69-2d9eac65a5c6" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_TaxesPayableCurrent" xlink:label="loc_us-gaap_TaxesPayableCurrent_e11f4ed8-bba4-2471-6835-a5baa4d63b38" xlink:type="locator" />
    <link:calculationArc order="5" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesCurrent_2dcbbde2-9146-a0ba-7f6c-c71b481e0841" xlink:to="loc_us-gaap_TaxesPayableCurrent_e11f4ed8-bba4-2471-6835-a5baa4d63b38" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_InterestPayableCurrent" xlink:label="loc_us-gaap_InterestPayableCurrent_84c97d53-d75c-0fec-d05e-498cb2460450" xlink:type="locator" />
    <link:calculationArc order="6" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesCurrent_2dcbbde2-9146-a0ba-7f6c-c71b481e0841" xlink:to="loc_us-gaap_InterestPayableCurrent_84c97d53-d75c-0fec-d05e-498cb2460450" xlink:type="arc" />
    <link:loc xlink:href="aep-20180930.xsd#aep_OklaunionPurchasePowerAgreementCurrent" xlink:label="loc_aep_OklaunionPurchasePowerAgreementCurrent_EF01B229075C6C29D9AA829FBBE88C09" xlink:type="locator" />
    <link:calculationArc order="7" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesCurrent_2dcbbde2-9146-a0ba-7f6c-c71b481e0841" xlink:to="loc_aep_OklaunionPurchasePowerAgreementCurrent_EF01B229075C6C29D9AA829FBBE88C09" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_OtherLiabilitiesCurrent" xlink:label="loc_us-gaap_OtherLiabilitiesCurrent_4bcdb937-432e-7a7e-23c2-a441d7b89da5" xlink:type="locator" />
    <link:calculationArc order="8" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesCurrent_2dcbbde2-9146-a0ba-7f6c-c71b481e0841" xlink:to="loc_us-gaap_OtherLiabilitiesCurrent_4bcdb937-432e-7a7e-23c2-a441d7b89da5" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_CustomerDepositsCurrent" xlink:label="loc_us-gaap_CustomerDepositsCurrent_525eaaa4-1e5a-7288-6b91-5882a9305b35" xlink:type="locator" />
    <link:calculationArc order="9" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesCurrent_2dcbbde2-9146-a0ba-7f6c-c71b481e0841" xlink:to="loc_us-gaap_CustomerDepositsCurrent_525eaaa4-1e5a-7288-6b91-5882a9305b35" xlink:type="arc" />
    <link:calculationArc order="10" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesCurrent_2dcbbde2-9146-a0ba-7f6c-c71b481e0841" xlink:to="loc_us-gaap_TransfersAccountedForAsSecuredBorrowingsAssociatedLiabilitiesCarryingAmount_9912eca3-81ec-b7ee-4489-91c994ccd380" xlink:type="arc" />
    <link:calculationArc order="11" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesCurrent_2dcbbde2-9146-a0ba-7f6c-c71b481e0841" xlink:to="loc_us-gaap_ShortTermBankLoansAndNotesPayable_6f09f98d-d632-7a35-fd1a-ae571cbda361" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_DerivativeLiabilitiesCurrent" xlink:label="loc_us-gaap_DerivativeLiabilitiesCurrent_690493cd-e4bf-5e73-1767-85beb84cea8f" xlink:type="locator" />
    <link:calculationArc order="12" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesCurrent_2dcbbde2-9146-a0ba-7f6c-c71b481e0841" xlink:to="loc_us-gaap_DerivativeLiabilitiesCurrent_690493cd-e4bf-5e73-1767-85beb84cea8f" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_RegulatoryLiabilityCurrent" xlink:label="loc_us-gaap_RegulatoryLiabilityCurrent_ab86180a-11a3-b67b-ff52-a86c23f6d6c2" xlink:type="locator" />
    <link:calculationArc order="13" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesCurrent_2dcbbde2-9146-a0ba-7f6c-c71b481e0841" xlink:to="loc_us-gaap_RegulatoryLiabilityCurrent_ab86180a-11a3-b67b-ff52-a86c23f6d6c2" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_CapitalLeaseObligationsCurrent" xlink:label="loc_us-gaap_CapitalLeaseObligationsCurrent_5f06cb10-8b43-3baf-f240-1b99c9508c8f" xlink:type="locator" />
    <link:calculationArc order="14" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesCurrent_2dcbbde2-9146-a0ba-7f6c-c71b481e0841" xlink:to="loc_us-gaap_CapitalLeaseObligationsCurrent_5f06cb10-8b43-3baf-f240-1b99c9508c8f" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_LiabilitiesNoncurrent" xlink:label="loc_us-gaap_LiabilitiesNoncurrent_f7f6a3c1-4b60-6e47-4dbc-badebe1fbd2c" xlink:type="locator" />
    <link:calculationArc order="2" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_066608da-f041-4af6-3da0-95354b640e11" xlink:to="loc_us-gaap_LiabilitiesNoncurrent_f7f6a3c1-4b60-6e47-4dbc-badebe1fbd2c" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_LongTermDebtNoncurrent" xlink:label="loc_us-gaap_LongTermDebtNoncurrent_fcfc6b17-bfc5-2ebc-3fc1-751aa446a572" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesNoncurrent_f7f6a3c1-4b60-6e47-4dbc-badebe1fbd2c" xlink:to="loc_us-gaap_LongTermDebtNoncurrent_fcfc6b17-bfc5-2ebc-3fc1-751aa446a572" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_DeferredTaxLiabilitiesNoncurrent" xlink:label="loc_us-gaap_DeferredTaxLiabilitiesNoncurrent_6b1efbc2-e859-9fbd-c572-2f4147498390" xlink:type="locator" />
    <link:calculationArc order="2" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesNoncurrent_f7f6a3c1-4b60-6e47-4dbc-badebe1fbd2c" xlink:to="loc_us-gaap_DeferredTaxLiabilitiesNoncurrent_6b1efbc2-e859-9fbd-c572-2f4147498390" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_RegulatoryLiabilityNoncurrent" xlink:label="loc_us-gaap_RegulatoryLiabilityNoncurrent_5eb34127-6817-a2f5-95ec-64b2589b8b75" xlink:type="locator" />
    <link:calculationArc order="3" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesNoncurrent_f7f6a3c1-4b60-6e47-4dbc-badebe1fbd2c" xlink:to="loc_us-gaap_RegulatoryLiabilityNoncurrent_5eb34127-6817-a2f5-95ec-64b2589b8b75" xlink:type="arc" />
    <link:loc xlink:href="aep-20180930.xsd#aep_OklaunionPurchasePowerAgreement" xlink:label="loc_aep_OklaunionPurchasePowerAgreement_d3400b00-d44d-9e93-453b-fc1fdc70520a" xlink:type="locator" />
    <link:calculationArc order="4" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesNoncurrent_f7f6a3c1-4b60-6e47-4dbc-badebe1fbd2c" xlink:to="loc_aep_OklaunionPurchasePowerAgreement_d3400b00-d44d-9e93-453b-fc1fdc70520a" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_OtherLiabilitiesNoncurrent" xlink:label="loc_us-gaap_OtherLiabilitiesNoncurrent_bba08e5f-78e8-6c25-01a4-6720051135cc" xlink:type="locator" />
    <link:calculationArc order="5" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesNoncurrent_f7f6a3c1-4b60-6e47-4dbc-badebe1fbd2c" xlink:to="loc_us-gaap_OtherLiabilitiesNoncurrent_bba08e5f-78e8-6c25-01a4-6720051135cc" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_DerivativeLiabilitiesNoncurrent" xlink:label="loc_us-gaap_DerivativeLiabilitiesNoncurrent_7537acaa-8649-0e59-f3d0-d9fe26fabbbc" xlink:type="locator" />
    <link:calculationArc order="6" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesNoncurrent_f7f6a3c1-4b60-6e47-4dbc-badebe1fbd2c" xlink:to="loc_us-gaap_DerivativeLiabilitiesNoncurrent_7537acaa-8649-0e59-f3d0-d9fe26fabbbc" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_AssetRetirementObligationsNoncurrent" xlink:label="loc_us-gaap_AssetRetirementObligationsNoncurrent_083ff527-01ef-d8ae-5095-99e2101237fc" xlink:type="locator" />
    <link:calculationArc order="7" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesNoncurrent_f7f6a3c1-4b60-6e47-4dbc-badebe1fbd2c" xlink:to="loc_us-gaap_AssetRetirementObligationsNoncurrent_083ff527-01ef-d8ae-5095-99e2101237fc" xlink:type="arc" />
    <link:loc xlink:href="aep-20180930.xsd#aep_EmployeeBenefitsAndPensionObligations" xlink:label="loc_aep_EmployeeBenefitsAndPensionObligations_98a4b648-5323-9fad-50b3-fc1fdc958f87" xlink:type="locator" />
    <link:calculationArc order="8" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesNoncurrent_f7f6a3c1-4b60-6e47-4dbc-badebe1fbd2c" xlink:to="loc_aep_EmployeeBenefitsAndPensionObligations_98a4b648-5323-9fad-50b3-fc1fdc958f87" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_CapitalLeaseObligationsNoncurrent" xlink:label="loc_us-gaap_CapitalLeaseObligationsNoncurrent_d31ac4f9-acde-4aa0-e677-cbf3bd705b92" xlink:type="locator" />
    <link:calculationArc order="9" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesNoncurrent_f7f6a3c1-4b60-6e47-4dbc-badebe1fbd2c" xlink:to="loc_us-gaap_CapitalLeaseObligationsNoncurrent_d31ac4f9-acde-4aa0-e677-cbf3bd705b92" xlink:type="arc" />
    <link:loc xlink:href="aep-20180930.xsd#aep_RateMatters" xlink:label="loc_aep_RateMatters_56d64c4b-6cbf-9110-a116-fc1fdb0ccb28" xlink:type="locator" />
    <link:calculationArc order="2" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquity_63817d40-f759-fa9c-45a5-8bbbb36ed5c9" xlink:to="loc_aep_RateMatters_56d64c4b-6cbf-9110-a116-fc1fdb0ccb28" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_CommitmentsAndContingencies" xlink:label="loc_us-gaap_CommitmentsAndContingencies_f0c68f4f-7ec1-d447-8ba7-0f2766abbe67" xlink:type="locator" />
    <link:calculationArc order="3" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquity_63817d40-f759-fa9c-45a5-8bbbb36ed5c9" xlink:to="loc_us-gaap_CommitmentsAndContingencies_f0c68f4f-7ec1-d447-8ba7-0f2766abbe67" xlink:type="arc" />
    <link:loc xlink:href="aep-20180930.xsd#aep_TotalMezzanineEquity" xlink:label="loc_aep_TotalMezzanineEquity_3803169c-1ee3-a451-0cbd-fc1fdbcea9eb" xlink:type="locator" />
    <link:calculationArc order="4" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquity_63817d40-f759-fa9c-45a5-8bbbb36ed5c9" xlink:to="loc_aep_TotalMezzanineEquity_3803169c-1ee3-a451-0cbd-fc1fdbcea9eb" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_RedeemableNoncontrollingInterestEquityCarryingAmount" xlink:label="loc_us-gaap_RedeemableNoncontrollingInterestEquityCarryingAmount_8c6cb868-c2c5-f73a-a7f6-65b98067e41e" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_aep_TotalMezzanineEquity_3803169c-1ee3-a451-0cbd-fc1fdbcea9eb" xlink:to="loc_us-gaap_RedeemableNoncontrollingInterestEquityCarryingAmount_8c6cb868-c2c5-f73a-a7f6-65b98067e41e" xlink:type="arc" />
    <link:loc xlink:href="aep-20180930.xsd#aep_MezzanineEquity" xlink:label="loc_aep_MezzanineEquity_4a127519-f2b0-b18e-1bcf-fc1fdff14a7a" xlink:type="locator" />
    <link:calculationArc order="2" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_aep_TotalMezzanineEquity_3803169c-1ee3-a451-0cbd-fc1fdbcea9eb" xlink:to="loc_aep_MezzanineEquity_4a127519-f2b0-b18e-1bcf-fc1fdff14a7a" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest" xlink:label="loc_us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest_e0c0480e-e6f5-c4df-ce25-1ffa4a8c827a" xlink:type="locator" />
    <link:calculationArc order="5" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquity_63817d40-f759-fa9c-45a5-8bbbb36ed5c9" xlink:to="loc_us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest_e0c0480e-e6f5-c4df-ce25-1ffa4a8c827a" xlink:type="arc" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest_e0c0480e-e6f5-c4df-ce25-1ffa4a8c827a" xlink:to="loc_us-gaap_CommonStockValue_aefe3f0c-abe4-5b83-9a64-da77d8e253dd" xlink:type="arc" />
    <link:calculationArc order="2" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest_e0c0480e-e6f5-c4df-ce25-1ffa4a8c827a" xlink:to="loc_us-gaap_AdditionalPaidInCapital_6dca832a-861c-478d-b1a0-396533beb40d" xlink:type="arc" />
    <link:calculationArc order="3" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest_e0c0480e-e6f5-c4df-ce25-1ffa4a8c827a" xlink:to="loc_us-gaap_RetainedEarningsAccumulatedDeficit_a59bc5ae-63a0-c9bc-32f7-e2bd9f32bd26" xlink:type="arc" />
    <link:calculationArc order="4" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest_e0c0480e-e6f5-c4df-ce25-1ffa4a8c827a" xlink:to="loc_us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax_798442bf-12e1-d944-3fa1-8b797b67482e" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_MinorityInterest" xlink:label="loc_us-gaap_MinorityInterest_a9feabf5-0bf0-3efe-740e-f5e41a4b3194" xlink:type="locator" />
    <link:calculationArc order="5" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest_e0c0480e-e6f5-c4df-ce25-1ffa4a8c827a" xlink:to="loc_us-gaap_MinorityInterest_a9feabf5-0bf0-3efe-740e-f5e41a4b3194" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_MembersEquity" xlink:label="loc_us-gaap_MembersEquity_eb6fd926-a0f1-e117-d17c-9031611a75e2" xlink:type="locator" />
    <link:calculationArc order="6" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquity_63817d40-f759-fa9c-45a5-8bbbb36ed5c9" xlink:to="loc_us-gaap_MembersEquity_eb6fd926-a0f1-e117-d17c-9031611a75e2" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_MembersCapital" xlink:label="loc_us-gaap_MembersCapital_c62b4e19-390b-6c2c-a6ae-a39bb6ad945b" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_MembersEquity_eb6fd926-a0f1-e117-d17c-9031611a75e2" xlink:to="loc_us-gaap_MembersCapital_c62b4e19-390b-6c2c-a6ae-a39bb6ad945b" xlink:type="arc" />
    <link:calculationArc order="2" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_MembersEquity_eb6fd926-a0f1-e117-d17c-9031611a75e2" xlink:to="loc_us-gaap_RetainedEarningsAccumulatedDeficit_a59bc5ae-63a0-c9bc-32f7-e2bd9f32bd26" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_Assets" xlink:label="loc_us-gaap_Assets_96dd7052-744e-d270-4e77-67944ec39152" xlink:type="locator" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_AssetsCurrent" xlink:label="loc_us-gaap_AssetsCurrent_d79dcc1c-93de-0ecd-2bd5-7c1f224c9b98" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_96dd7052-744e-d270-4e77-67944ec39152" xlink:to="loc_us-gaap_AssetsCurrent_d79dcc1c-93de-0ecd-2bd5-7c1f224c9b98" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_CashAndCashEquivalentsAtCarryingValue" xlink:label="loc_us-gaap_CashAndCashEquivalentsAtCarryingValue_32f41ea9-05c6-e713-464b-586a571d1c1f" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsCurrent_d79dcc1c-93de-0ecd-2bd5-7c1f224c9b98" xlink:to="loc_us-gaap_CashAndCashEquivalentsAtCarryingValue_32f41ea9-05c6-e713-464b-586a571d1c1f" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_AccountsReceivableNetCurrent" xlink:label="loc_us-gaap_AccountsReceivableNetCurrent_928a1618-af56-709a-989c-a303706b8ca2" xlink:type="locator" />
    <link:calculationArc order="2" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsCurrent_d79dcc1c-93de-0ecd-2bd5-7c1f224c9b98" xlink:to="loc_us-gaap_AccountsReceivableNetCurrent_928a1618-af56-709a-989c-a303706b8ca2" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_AccountsReceivableGrossCurrent" xlink:label="loc_us-gaap_AccountsReceivableGrossCurrent_45cbec74-5197-2285-8251-611db0876ff5" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AccountsReceivableNetCurrent_928a1618-af56-709a-989c-a303706b8ca2" xlink:to="loc_us-gaap_AccountsReceivableGrossCurrent_45cbec74-5197-2285-8251-611db0876ff5" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_AccountsReceivableRelatedPartiesCurrent" xlink:label="loc_us-gaap_AccountsReceivableRelatedPartiesCurrent_00ecda9d-3070-d75a-0469-024267e156f0" xlink:type="locator" />
    <link:calculationArc order="2" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AccountsReceivableNetCurrent_928a1618-af56-709a-989c-a303706b8ca2" xlink:to="loc_us-gaap_AccountsReceivableRelatedPartiesCurrent_00ecda9d-3070-d75a-0469-024267e156f0" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_UnbilledReceivablesCurrent" xlink:label="loc_us-gaap_UnbilledReceivablesCurrent_ecc5021c-19ea-d6df-450c-2c87b2ebe1e7" xlink:type="locator" />
    <link:calculationArc order="3" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AccountsReceivableNetCurrent_928a1618-af56-709a-989c-a303706b8ca2" xlink:to="loc_us-gaap_UnbilledReceivablesCurrent_ecc5021c-19ea-d6df-450c-2c87b2ebe1e7" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_TransfersAccountedForAsSecuredBorrowingsAssetsCarryingAmount" xlink:label="loc_us-gaap_TransfersAccountedForAsSecuredBorrowingsAssetsCarryingAmount_132f4f07-342d-90d5-e9a0-b147a98967de" xlink:type="locator" />
    <link:calculationArc order="4" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AccountsReceivableNetCurrent_928a1618-af56-709a-989c-a303706b8ca2" xlink:to="loc_us-gaap_TransfersAccountedForAsSecuredBorrowingsAssetsCarryingAmount_132f4f07-342d-90d5-e9a0-b147a98967de" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_OtherReceivables" xlink:label="loc_us-gaap_OtherReceivables_66d33d39-750d-8c64-4fb6-6affdade8a19" xlink:type="locator" />
    <link:calculationArc order="5" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AccountsReceivableNetCurrent_928a1618-af56-709a-989c-a303706b8ca2" xlink:to="loc_us-gaap_OtherReceivables_66d33d39-750d-8c64-4fb6-6affdade8a19" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_AllowanceForDoubtfulAccountsReceivableCurrent" xlink:label="loc_us-gaap_AllowanceForDoubtfulAccountsReceivableCurrent_5ef460eb-b1a1-6cff-4c94-df85c1a14f84" xlink:type="locator" />
    <link:calculationArc order="6" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AccountsReceivableNetCurrent_928a1618-af56-709a-989c-a303706b8ca2" xlink:to="loc_us-gaap_AllowanceForDoubtfulAccountsReceivableCurrent_5ef460eb-b1a1-6cff-4c94-df85c1a14f84" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_OtherInventorySupplies" xlink:label="loc_us-gaap_OtherInventorySupplies_4357e027-e10d-06be-e2bf-133b305540bc" xlink:type="locator" />
    <link:calculationArc order="3" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsCurrent_d79dcc1c-93de-0ecd-2bd5-7c1f224c9b98" xlink:to="loc_us-gaap_OtherInventorySupplies_4357e027-e10d-06be-e2bf-133b305540bc" xlink:type="arc" />
    <link:loc xlink:href="aep-20180930.xsd#aep_RenewableEnergyCredits" xlink:label="loc_aep_RenewableEnergyCredits_cfbbefe2-07c9-a5ce-3222-fc1fdd84e8a9" xlink:type="locator" />
    <link:calculationArc order="4" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsCurrent_d79dcc1c-93de-0ecd-2bd5-7c1f224c9b98" xlink:to="loc_aep_RenewableEnergyCredits_cfbbefe2-07c9-a5ce-3222-fc1fdd84e8a9" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_DerivativeAssetsCurrent" xlink:label="loc_us-gaap_DerivativeAssetsCurrent_9f677d56-9250-6898-5be4-72422ced3be0" xlink:type="locator" />
    <link:calculationArc order="5" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsCurrent_d79dcc1c-93de-0ecd-2bd5-7c1f224c9b98" xlink:to="loc_us-gaap_DerivativeAssetsCurrent_9f677d56-9250-6898-5be4-72422ced3be0" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_RegulatoryAssetsCurrent" xlink:label="loc_us-gaap_RegulatoryAssetsCurrent_f032f1d3-9ed6-3542-32b4-ac1c1578a8e9" xlink:type="locator" />
    <link:calculationArc order="6" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsCurrent_d79dcc1c-93de-0ecd-2bd5-7c1f224c9b98" xlink:to="loc_us-gaap_RegulatoryAssetsCurrent_f032f1d3-9ed6-3542-32b4-ac1c1578a8e9" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_PrepaidExpenseAndOtherAssetsCurrent" xlink:label="loc_us-gaap_PrepaidExpenseAndOtherAssetsCurrent_ce9014ac-0ac4-6ed2-b53f-a0edc046d6b4" xlink:type="locator" />
    <link:calculationArc order="7" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsCurrent_d79dcc1c-93de-0ecd-2bd5-7c1f224c9b98" xlink:to="loc_us-gaap_PrepaidExpenseAndOtherAssetsCurrent_ce9014ac-0ac4-6ed2-b53f-a0edc046d6b4" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_RestrictedCashAndCashEquivalentsAtCarryingValue" xlink:label="loc_us-gaap_RestrictedCashAndCashEquivalentsAtCarryingValue_0e2b0aef-f283-e3cd-a77b-e835b6efc171" xlink:type="locator" />
    <link:calculationArc order="8" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsCurrent_d79dcc1c-93de-0ecd-2bd5-7c1f224c9b98" xlink:to="loc_us-gaap_RestrictedCashAndCashEquivalentsAtCarryingValue_0e2b0aef-f283-e3cd-a77b-e835b6efc171" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_InventoryRawMaterials" xlink:label="loc_us-gaap_InventoryRawMaterials_aec9630a-9e19-cd8f-8217-90be7ac55d44" xlink:type="locator" />
    <link:calculationArc order="9" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsCurrent_d79dcc1c-93de-0ecd-2bd5-7c1f224c9b98" xlink:to="loc_us-gaap_InventoryRawMaterials_aec9630a-9e19-cd8f-8217-90be7ac55d44" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_IncomeTaxesReceivable" xlink:label="loc_us-gaap_IncomeTaxesReceivable_ebb94f1a-1386-5eed-9402-f0f0e2cd300b" xlink:type="locator" />
    <link:calculationArc order="10" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsCurrent_d79dcc1c-93de-0ecd-2bd5-7c1f224c9b98" xlink:to="loc_us-gaap_IncomeTaxesReceivable_ebb94f1a-1386-5eed-9402-f0f0e2cd300b" xlink:type="arc" />
    <link:loc xlink:href="aep-20180930.xsd#aep_AccruedReimbursementofSpentNuclearFuelCosts" xlink:label="loc_aep_AccruedReimbursementofSpentNuclearFuelCosts_5939060e-7b3e-3f0d-4c8f-fc1fdb274424" xlink:type="locator" />
    <link:calculationArc order="11" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsCurrent_d79dcc1c-93de-0ecd-2bd5-7c1f224c9b98" xlink:to="loc_aep_AccruedReimbursementofSpentNuclearFuelCosts_5939060e-7b3e-3f0d-4c8f-fc1fdb274424" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_DueFromRelatedPartiesCurrent" xlink:label="loc_us-gaap_DueFromRelatedPartiesCurrent_a9404622-3e0d-75e3-c107-27ef98863b5e" xlink:type="locator" />
    <link:calculationArc order="12" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsCurrent_d79dcc1c-93de-0ecd-2bd5-7c1f224c9b98" xlink:to="loc_us-gaap_DueFromRelatedPartiesCurrent_a9404622-3e0d-75e3-c107-27ef98863b5e" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_ShortTermInvestments" xlink:label="loc_us-gaap_ShortTermInvestments_4f46bf2c-e8aa-a88a-d064-0418c3eb39b0" xlink:type="locator" />
    <link:calculationArc order="13" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsCurrent_d79dcc1c-93de-0ecd-2bd5-7c1f224c9b98" xlink:to="loc_us-gaap_ShortTermInvestments_4f46bf2c-e8aa-a88a-d064-0418c3eb39b0" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_MarginDepositAssets" xlink:label="loc_us-gaap_MarginDepositAssets_6c101a11-0a60-012a-61f2-478ce18427f2" xlink:type="locator" />
    <link:calculationArc order="14" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsCurrent_d79dcc1c-93de-0ecd-2bd5-7c1f224c9b98" xlink:to="loc_us-gaap_MarginDepositAssets_6c101a11-0a60-012a-61f2-478ce18427f2" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_PropertyPlantAndEquipmentNet" xlink:label="loc_us-gaap_PropertyPlantAndEquipmentNet_f37ad080-c77a-efc5-c936-389b16abc420" xlink:type="locator" />
    <link:calculationArc order="2" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_96dd7052-744e-d270-4e77-67944ec39152" xlink:to="loc_us-gaap_PropertyPlantAndEquipmentNet_f37ad080-c77a-efc5-c936-389b16abc420" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_PropertyPlantAndEquipmentGross" xlink:label="loc_us-gaap_PropertyPlantAndEquipmentGross_78662f7f-2a6a-5d68-ba8a-7947ed287be5" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_PropertyPlantAndEquipmentNet_f37ad080-c77a-efc5-c936-389b16abc420" xlink:to="loc_us-gaap_PropertyPlantAndEquipmentGross_78662f7f-2a6a-5d68-ba8a-7947ed287be5" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_PublicUtilitiesPropertyPlantAndEquipmentGenerationOrProcessing" xlink:label="loc_us-gaap_PublicUtilitiesPropertyPlantAndEquipmentGenerationOrProcessing_6e9563a7-0b5e-9857-c3de-9e730400f96f" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_PropertyPlantAndEquipmentGross_78662f7f-2a6a-5d68-ba8a-7947ed287be5" xlink:to="loc_us-gaap_PublicUtilitiesPropertyPlantAndEquipmentGenerationOrProcessing_6e9563a7-0b5e-9857-c3de-9e730400f96f" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_PublicUtilitiesPropertyPlantAndEquipmentTransmission" xlink:label="loc_us-gaap_PublicUtilitiesPropertyPlantAndEquipmentTransmission_1686610e-db33-5803-bec9-19ec21e2264c" xlink:type="locator" />
    <link:calculationArc order="2" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_PropertyPlantAndEquipmentGross_78662f7f-2a6a-5d68-ba8a-7947ed287be5" xlink:to="loc_us-gaap_PublicUtilitiesPropertyPlantAndEquipmentTransmission_1686610e-db33-5803-bec9-19ec21e2264c" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_PublicUtilitiesPropertyPlantAndEquipmentDistribution" xlink:label="loc_us-gaap_PublicUtilitiesPropertyPlantAndEquipmentDistribution_761851b5-9a92-b8b9-b009-a8b33d712848" xlink:type="locator" />
    <link:calculationArc order="3" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_PropertyPlantAndEquipmentGross_78662f7f-2a6a-5d68-ba8a-7947ed287be5" xlink:to="loc_us-gaap_PublicUtilitiesPropertyPlantAndEquipmentDistribution_761851b5-9a92-b8b9-b009-a8b33d712848" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_PublicUtilitiesPropertyPlantAndEquipmentOtherPropertyPlantAndEquipment" xlink:label="loc_us-gaap_PublicUtilitiesPropertyPlantAndEquipmentOtherPropertyPlantAndEquipment_de7d9c85-a443-cd96-d6d7-9713af2177c4" xlink:type="locator" />
    <link:calculationArc order="4" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_PropertyPlantAndEquipmentGross_78662f7f-2a6a-5d68-ba8a-7947ed287be5" xlink:to="loc_us-gaap_PublicUtilitiesPropertyPlantAndEquipmentOtherPropertyPlantAndEquipment_de7d9c85-a443-cd96-d6d7-9713af2177c4" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_ConstructionInProgressGross" xlink:label="loc_us-gaap_ConstructionInProgressGross_ed9b6f5d-96d4-4d90-dc30-3e04f8acc5a2" xlink:type="locator" />
    <link:calculationArc order="5" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_PropertyPlantAndEquipmentGross_78662f7f-2a6a-5d68-ba8a-7947ed287be5" xlink:to="loc_us-gaap_ConstructionInProgressGross_ed9b6f5d-96d4-4d90-dc30-3e04f8acc5a2" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_AccumulatedDepreciationDepletionAndAmortizationPropertyPlantAndEquipment" xlink:label="loc_us-gaap_AccumulatedDepreciationDepletionAndAmortizationPropertyPlantAndEquipment_0a08cda9-11b3-e7ac-3fc9-3a23c67d9b96" xlink:type="locator" />
    <link:calculationArc order="2" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_PropertyPlantAndEquipmentNet_f37ad080-c77a-efc5-c936-389b16abc420" xlink:to="loc_us-gaap_AccumulatedDepreciationDepletionAndAmortizationPropertyPlantAndEquipment_0a08cda9-11b3-e7ac-3fc9-3a23c67d9b96" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_AssetsNoncurrent" xlink:label="loc_us-gaap_AssetsNoncurrent_373faef4-833e-df87-f6fb-b7d79ca77258" xlink:type="locator" />
    <link:calculationArc order="3" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_96dd7052-744e-d270-4e77-67944ec39152" xlink:to="loc_us-gaap_AssetsNoncurrent_373faef4-833e-df87-f6fb-b7d79ca77258" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_RegulatoryAssetsNoncurrent" xlink:label="loc_us-gaap_RegulatoryAssetsNoncurrent_a6df4f8f-6a2d-7d3a-dba3-208afa7d782c" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsNoncurrent_373faef4-833e-df87-f6fb-b7d79ca77258" xlink:to="loc_us-gaap_RegulatoryAssetsNoncurrent_a6df4f8f-6a2d-7d3a-dba3-208afa7d782c" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_DeferredTaxAssetsPropertyPlantAndEquipment" xlink:label="loc_us-gaap_DeferredTaxAssetsPropertyPlantAndEquipment_b4dece9a-8c95-7770-52f2-bc14b57aa839" xlink:type="locator" />
    <link:calculationArc order="2" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsNoncurrent_373faef4-833e-df87-f6fb-b7d79ca77258" xlink:to="loc_us-gaap_DeferredTaxAssetsPropertyPlantAndEquipment_b4dece9a-8c95-7770-52f2-bc14b57aa839" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_OtherAssetsNoncurrent" xlink:label="loc_us-gaap_OtherAssetsNoncurrent_ddb0d184-2205-2a10-5b0e-faf2ccd717ae" xlink:type="locator" />
    <link:calculationArc order="3" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsNoncurrent_373faef4-833e-df87-f6fb-b7d79ca77258" xlink:to="loc_us-gaap_OtherAssetsNoncurrent_ddb0d184-2205-2a10-5b0e-faf2ccd717ae" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_SecuritizedRegulatoryTransitionAssetsNoncurrent" xlink:label="loc_us-gaap_SecuritizedRegulatoryTransitionAssetsNoncurrent_90ed1402-c1d2-8316-4102-798b70faa6e7" xlink:type="locator" />
    <link:calculationArc order="4" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsNoncurrent_373faef4-833e-df87-f6fb-b7d79ca77258" xlink:to="loc_us-gaap_SecuritizedRegulatoryTransitionAssetsNoncurrent_90ed1402-c1d2-8316-4102-798b70faa6e7" xlink:type="arc" />
    <link:loc xlink:href="aep-20180930.xsd#aep_SpentNuclearFuelAndDecommissioningTrusts" xlink:label="loc_aep_SpentNuclearFuelAndDecommissioningTrusts_d4fbff3e-ddf9-f2f6-b8ca-fc1fdd80a2cd" xlink:type="locator" />
    <link:calculationArc order="5" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsNoncurrent_373faef4-833e-df87-f6fb-b7d79ca77258" xlink:to="loc_aep_SpentNuclearFuelAndDecommissioningTrusts_d4fbff3e-ddf9-f2f6-b8ca-fc1fdd80a2cd" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_Goodwill" xlink:label="loc_us-gaap_Goodwill_831ad0b9-9dba-3997-20e6-e99a19aa28db" xlink:type="locator" />
    <link:calculationArc order="6" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsNoncurrent_373faef4-833e-df87-f6fb-b7d79ca77258" xlink:to="loc_us-gaap_Goodwill_831ad0b9-9dba-3997-20e6-e99a19aa28db" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_DerivativeAssetsNoncurrent" xlink:label="loc_us-gaap_DerivativeAssetsNoncurrent_1b627296-6ceb-171f-5c4f-23b7c7421d3f" xlink:type="locator" />
    <link:calculationArc order="7" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsNoncurrent_373faef4-833e-df87-f6fb-b7d79ca77258" xlink:to="loc_us-gaap_DerivativeAssetsNoncurrent_1b627296-6ceb-171f-5c4f-23b7c7421d3f" xlink:type="arc" />
    <link:loc xlink:href="aep-20180930.xsd#aep_EmployeeBenefitsAndPensionAssets" xlink:label="loc_aep_EmployeeBenefitsAndPensionAssets_a7bc8ac0-5f2a-0638-89f2-fc1fde5254a1" xlink:type="locator" />
    <link:calculationArc order="8" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsNoncurrent_373faef4-833e-df87-f6fb-b7d79ca77258" xlink:to="loc_aep_EmployeeBenefitsAndPensionAssets_a7bc8ac0-5f2a-0638-89f2-fc1fde5254a1" xlink:type="arc" />
  </link:calculationLink>
  <link:calculationLink xlink:role="http://www.aep.com/role/CondensedConsolidatedBalanceSheetsParenthetical" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.aep.com/role/CondensedConsolidatedStatementsOfCashFlows" xlink:type="extended">
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseExcludingExchangeRateEffect" xlink:label="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseExcludingExchangeRateEffect_c64b7cdb-8ea7-0c01-95ce-44eab1a859bf" xlink:type="locator" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_NetCashProvidedByUsedInOperatingActivities" xlink:label="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_1bd0bd4e-4a6f-b052-029c-0ecb0c520251" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseExcludingExchangeRateEffect_c64b7cdb-8ea7-0c01-95ce-44eab1a859bf" xlink:to="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_1bd0bd4e-4a6f-b052-029c-0ecb0c520251" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_ProfitLoss" xlink:label="loc_us-gaap_ProfitLoss_8aa68cfb-2df7-9a23-d1ed-4fe33385b4a2" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_1bd0bd4e-4a6f-b052-029c-0ecb0c520251" xlink:to="loc_us-gaap_ProfitLoss_8aa68cfb-2df7-9a23-d1ed-4fe33385b4a2" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_UtilitiesOperatingExpenseDepreciationAndAmortization" xlink:label="loc_us-gaap_UtilitiesOperatingExpenseDepreciationAndAmortization_1933b40c-84b6-6097-f2c3-11e74e174078" xlink:type="locator" />
    <link:calculationArc order="2" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_1bd0bd4e-4a6f-b052-029c-0ecb0c520251" xlink:to="loc_us-gaap_UtilitiesOperatingExpenseDepreciationAndAmortization_1933b40c-84b6-6097-f2c3-11e74e174078" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_DeferredIncomeTaxExpenseBenefit" xlink:label="loc_us-gaap_DeferredIncomeTaxExpenseBenefit_e8a9abf2-38d3-77d1-fb6b-693fef632294" xlink:type="locator" />
    <link:calculationArc order="3" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_1bd0bd4e-4a6f-b052-029c-0ecb0c520251" xlink:to="loc_us-gaap_DeferredIncomeTaxExpenseBenefit_e8a9abf2-38d3-77d1-fb6b-693fef632294" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_PublicUtilitiesAllowanceForFundsUsedDuringConstructionCapitalizedCostOfEquity" xlink:label="loc_us-gaap_PublicUtilitiesAllowanceForFundsUsedDuringConstructionCapitalizedCostOfEquity_e6805b8d-c095-b84b-4b3a-84164080c52a" xlink:type="locator" />
    <link:calculationArc order="4" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_1bd0bd4e-4a6f-b052-029c-0ecb0c520251" xlink:to="loc_us-gaap_PublicUtilitiesAllowanceForFundsUsedDuringConstructionCapitalizedCostOfEquity_e6805b8d-c095-b84b-4b3a-84164080c52a" xlink:type="arc" />
    <link:loc xlink:href="aep-20180930.xsd#aep_ChangeInRegulatoryAssets" xlink:label="loc_aep_ChangeInRegulatoryAssets_f852785a-5c72-7dcd-d0c2-0fae90ace6f9" xlink:type="locator" />
    <link:calculationArc order="5" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_1bd0bd4e-4a6f-b052-029c-0ecb0c520251" xlink:to="loc_aep_ChangeInRegulatoryAssets_f852785a-5c72-7dcd-d0c2-0fae90ace6f9" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_IncreaseDecreaseInOtherNoncurrentAssets" xlink:label="loc_us-gaap_IncreaseDecreaseInOtherNoncurrentAssets_366aa09e-f759-b63b-77e0-83ad3a947a55" xlink:type="locator" />
    <link:calculationArc order="6" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_1bd0bd4e-4a6f-b052-029c-0ecb0c520251" xlink:to="loc_us-gaap_IncreaseDecreaseInOtherNoncurrentAssets_366aa09e-f759-b63b-77e0-83ad3a947a55" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_IncreaseDecreaseInOtherNoncurrentLiabilities" xlink:label="loc_us-gaap_IncreaseDecreaseInOtherNoncurrentLiabilities_4e0ea51c-d09a-0164-9f15-a1d8d4927a87" xlink:type="locator" />
    <link:calculationArc order="7" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_1bd0bd4e-4a6f-b052-029c-0ecb0c520251" xlink:to="loc_us-gaap_IncreaseDecreaseInOtherNoncurrentLiabilities_4e0ea51c-d09a-0164-9f15-a1d8d4927a87" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_IncreaseDecreaseInAccountsAndOtherReceivables" xlink:label="loc_us-gaap_IncreaseDecreaseInAccountsAndOtherReceivables_9fda936a-2bfa-73e9-848b-446869ea1c58" xlink:type="locator" />
    <link:calculationArc order="8" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_1bd0bd4e-4a6f-b052-029c-0ecb0c520251" xlink:to="loc_us-gaap_IncreaseDecreaseInAccountsAndOtherReceivables_9fda936a-2bfa-73e9-848b-446869ea1c58" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_IncreaseDecreaseInInventories" xlink:label="loc_us-gaap_IncreaseDecreaseInInventories_334f1d33-7cae-7fd2-9d83-bb387fc2f3dd" xlink:type="locator" />
    <link:calculationArc order="9" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_1bd0bd4e-4a6f-b052-029c-0ecb0c520251" xlink:to="loc_us-gaap_IncreaseDecreaseInInventories_334f1d33-7cae-7fd2-9d83-bb387fc2f3dd" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_IncreaseDecreaseInAccountsPayable" xlink:label="loc_us-gaap_IncreaseDecreaseInAccountsPayable_0a39d2ee-656d-ead5-a676-41794b4da8f4" xlink:type="locator" />
    <link:calculationArc order="10" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_1bd0bd4e-4a6f-b052-029c-0ecb0c520251" xlink:to="loc_us-gaap_IncreaseDecreaseInAccountsPayable_0a39d2ee-656d-ead5-a676-41794b4da8f4" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_IncreaseDecreaseInAccruedTaxesPayable" xlink:label="loc_us-gaap_IncreaseDecreaseInAccruedTaxesPayable_7b3c76f4-f4f7-d8c9-23c6-b259dabda37e" xlink:type="locator" />
    <link:calculationArc order="11" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_1bd0bd4e-4a6f-b052-029c-0ecb0c520251" xlink:to="loc_us-gaap_IncreaseDecreaseInAccruedTaxesPayable_7b3c76f4-f4f7-d8c9-23c6-b259dabda37e" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_IncreaseDecreaseInOtherCurrentAssets" xlink:label="loc_us-gaap_IncreaseDecreaseInOtherCurrentAssets_30b51b02-ce1a-7a8d-83e5-0db42b6e72ce" xlink:type="locator" />
    <link:calculationArc order="12" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_1bd0bd4e-4a6f-b052-029c-0ecb0c520251" xlink:to="loc_us-gaap_IncreaseDecreaseInOtherCurrentAssets_30b51b02-ce1a-7a8d-83e5-0db42b6e72ce" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_IncreaseDecreaseInOtherCurrentLiabilities" xlink:label="loc_us-gaap_IncreaseDecreaseInOtherCurrentLiabilities_b1ef9f8f-e486-b1c7-d5fe-d5eb611f3636" xlink:type="locator" />
    <link:calculationArc order="13" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_1bd0bd4e-4a6f-b052-029c-0ecb0c520251" xlink:to="loc_us-gaap_IncreaseDecreaseInOtherCurrentLiabilities_b1ef9f8f-e486-b1c7-d5fe-d5eb611f3636" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_UnrealizedGainLossOnDerivatives" xlink:label="loc_us-gaap_UnrealizedGainLossOnDerivatives_617b1db1-ae07-85bc-53dc-378b73f4faf0" xlink:type="locator" />
    <link:calculationArc order="14" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_1bd0bd4e-4a6f-b052-029c-0ecb0c520251" xlink:to="loc_us-gaap_UnrealizedGainLossOnDerivatives_617b1db1-ae07-85bc-53dc-378b73f4faf0" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_PensionContributions" xlink:label="loc_us-gaap_PensionContributions_01237875-006b-8973-02ea-6407a36c3278" xlink:type="locator" />
    <link:calculationArc order="15" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_1bd0bd4e-4a6f-b052-029c-0ecb0c520251" xlink:to="loc_us-gaap_PensionContributions_01237875-006b-8973-02ea-6407a36c3278" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_AmortizationOfDeferredPropertyTaxes" xlink:label="loc_us-gaap_AmortizationOfDeferredPropertyTaxes_ca7db6eb-4644-8b45-f32a-12748ccc6ecb" xlink:type="locator" />
    <link:calculationArc order="16" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_1bd0bd4e-4a6f-b052-029c-0ecb0c520251" xlink:to="loc_us-gaap_AmortizationOfDeferredPropertyTaxes_ca7db6eb-4644-8b45-f32a-12748ccc6ecb" xlink:type="arc" />
    <link:loc xlink:href="aep-20180930.xsd#aep_ProvisionforRefundGlobalSettlement" xlink:label="loc_aep_ProvisionforRefundGlobalSettlement_fc847c66-871d-aa66-92a1-fc1fdc53a1da" xlink:type="locator" />
    <link:calculationArc order="17" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_1bd0bd4e-4a6f-b052-029c-0ecb0c520251" xlink:to="loc_aep_ProvisionforRefundGlobalSettlement_fc847c66-871d-aa66-92a1-fc1fdc53a1da" xlink:type="arc" />
    <link:loc xlink:href="aep-20180930.xsd#aep_CarryingCostsIncome" xlink:label="loc_aep_CarryingCostsIncome_72c7d2c0-483c-20fd-32c2-fc1fdce488bf" xlink:type="locator" />
    <link:calculationArc order="18" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_1bd0bd4e-4a6f-b052-029c-0ecb0c520251" xlink:to="loc_aep_CarryingCostsIncome_72c7d2c0-483c-20fd-32c2-fc1fdce488bf" xlink:type="arc" />
    <link:loc xlink:href="aep-20180930.xsd#aep_AmortizationOfGenerationDeferrals" xlink:label="loc_aep_AmortizationOfGenerationDeferrals_6debc0bc-2143-a431-1d27-fc1fdadff848" xlink:type="locator" />
    <link:calculationArc order="19" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_1bd0bd4e-4a6f-b052-029c-0ecb0c520251" xlink:to="loc_aep_AmortizationOfGenerationDeferrals_6debc0bc-2143-a431-1d27-fc1fdadff848" xlink:type="arc" />
    <link:loc xlink:href="aep-20180930.xsd#aep_FuelOverUnderRecoveryNet" xlink:label="loc_aep_FuelOverUnderRecoveryNet_35ce3999-6847-7038-0b20-fc1fdf9d8977" xlink:type="locator" />
    <link:calculationArc order="20" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_1bd0bd4e-4a6f-b052-029c-0ecb0c520251" xlink:to="loc_aep_FuelOverUnderRecoveryNet_35ce3999-6847-7038-0b20-fc1fdf9d8977" xlink:type="arc" />
    <link:loc xlink:href="aep-20180930.xsd#aep_AmortizationOfNuclearFuel" xlink:label="loc_aep_AmortizationOfNuclearFuel_7d7b55f2-acff-4334-6564-fc1fde8da2e0" xlink:type="locator" />
    <link:calculationArc order="21" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_1bd0bd4e-4a6f-b052-029c-0ecb0c520251" xlink:to="loc_aep_AmortizationOfNuclearFuel_7d7b55f2-acff-4334-6564-fc1fde8da2e0" xlink:type="arc" />
    <link:loc xlink:href="aep-20180930.xsd#aep_GainonSaleofMerchantGenerationAssets" xlink:label="loc_aep_GainonSaleofMerchantGenerationAssets_0a697503-c8d5-3846-4c3e-fc1fdca4796a" xlink:type="locator" />
    <link:calculationArc order="22" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_1bd0bd4e-4a6f-b052-029c-0ecb0c520251" xlink:to="loc_aep_GainonSaleofMerchantGenerationAssets_0a697503-c8d5-3846-4c3e-fc1fdca4796a" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_GainLossOnSaleOfStockInSubsidiaryOrEquityMethodInvestee" xlink:label="loc_us-gaap_GainLossOnSaleOfStockInSubsidiaryOrEquityMethodInvestee_ccd77703-9014-24b4-2c0c-9b79ca068bf4" xlink:type="locator" />
    <link:calculationArc order="23" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_1bd0bd4e-4a6f-b052-029c-0ecb0c520251" xlink:to="loc_us-gaap_GainLossOnSaleOfStockInSubsidiaryOrEquityMethodInvestee_ccd77703-9014-24b4-2c0c-9b79ca068bf4" xlink:type="arc" />
    <link:loc xlink:href="aep-20180930.xsd#aep_DeferralOfOhioCapacityCosts" xlink:label="loc_aep_DeferralOfOhioCapacityCosts_8e142df2-6324-da9d-9ffc-fc1fdd8bd968" xlink:type="locator" />
    <link:calculationArc order="24" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_1bd0bd4e-4a6f-b052-029c-0ecb0c520251" xlink:to="loc_aep_DeferralOfOhioCapacityCosts_8e142df2-6324-da9d-9ffc-fc1fdd8bd968" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_IncreaseDecreaseInInterestPayableNet" xlink:label="loc_us-gaap_IncreaseDecreaseInInterestPayableNet_2a6d7ce6-936f-6ec3-1606-4ffc7571557c" xlink:type="locator" />
    <link:calculationArc order="25" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_1bd0bd4e-4a6f-b052-029c-0ecb0c520251" xlink:to="loc_us-gaap_IncreaseDecreaseInInterestPayableNet_2a6d7ce6-936f-6ec3-1606-4ffc7571557c" xlink:type="arc" />
    <link:loc xlink:href="aep-20180930.xsd#aep_DeferralOfIncrementalNuclearRefuelingOutageExpensesNet" xlink:label="loc_aep_DeferralOfIncrementalNuclearRefuelingOutageExpensesNet_58fa2cbf-9eea-59b5-79c3-fc1fdf1eefbb" xlink:type="locator" />
    <link:calculationArc order="26" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_1bd0bd4e-4a6f-b052-029c-0ecb0c520251" xlink:to="loc_aep_DeferralOfIncrementalNuclearRefuelingOutageExpensesNet_58fa2cbf-9eea-59b5-79c3-fc1fdf1eefbb" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_IncreaseDecreaseInCustomerDeposits" xlink:label="loc_us-gaap_IncreaseDecreaseInCustomerDeposits_7d001596-4a6b-41fc-3881-4374d685dc77" xlink:type="locator" />
    <link:calculationArc order="27" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_1bd0bd4e-4a6f-b052-029c-0ecb0c520251" xlink:to="loc_us-gaap_IncreaseDecreaseInCustomerDeposits_7d001596-4a6b-41fc-3881-4374d685dc77" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_IncreaseDecreaseInAccountsReceivableRelatedParties" xlink:label="loc_us-gaap_IncreaseDecreaseInAccountsReceivableRelatedParties_976aa179-beff-3c48-8a66-8efd172cdca6" xlink:type="locator" />
    <link:calculationArc order="28" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_1bd0bd4e-4a6f-b052-029c-0ecb0c520251" xlink:to="loc_us-gaap_IncreaseDecreaseInAccountsReceivableRelatedParties_976aa179-beff-3c48-8a66-8efd172cdca6" xlink:type="arc" />
    <link:loc xlink:href="aep-20180930.xsd#aep_ChangeinRegulatoryAssetCatastropheReserve" xlink:label="loc_aep_ChangeinRegulatoryAssetCatastropheReserve_5970ffeb-3e3d-ce68-0047-fc1fdccf2817" xlink:type="locator" />
    <link:calculationArc order="29" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_1bd0bd4e-4a6f-b052-029c-0ecb0c520251" xlink:to="loc_aep_ChangeinRegulatoryAssetCatastropheReserve_5970ffeb-3e3d-ce68-0047-fc1fdccf2817" xlink:type="arc" />
    <link:loc xlink:href="aep-20180930.xsd#aep_ProvisionforRefund" xlink:label="loc_aep_ProvisionforRefund_7ffcd485-1316-1bd4-73b2-fc1fdcfcf76b" xlink:type="locator" />
    <link:calculationArc order="30" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_1bd0bd4e-4a6f-b052-029c-0ecb0c520251" xlink:to="loc_aep_ProvisionforRefund_7ffcd485-1316-1bd4-73b2-fc1fdcfcf76b" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_NetCashProvidedByUsedInInvestingActivities" xlink:label="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_28655e34-499f-b7bf-c54f-5de0990d0c65" xlink:type="locator" />
    <link:calculationArc order="2" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseExcludingExchangeRateEffect_c64b7cdb-8ea7-0c01-95ce-44eab1a859bf" xlink:to="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_28655e34-499f-b7bf-c54f-5de0990d0c65" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_PaymentsForConstructionInProcess" xlink:label="loc_us-gaap_PaymentsForConstructionInProcess_11f58e9d-c490-fdc3-98d5-48857aa92a0a" xlink:type="locator" />
    <link:calculationArc order="1" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_28655e34-499f-b7bf-c54f-5de0990d0c65" xlink:to="loc_us-gaap_PaymentsForConstructionInProcess_11f58e9d-c490-fdc3-98d5-48857aa92a0a" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_PaymentsForProceedsFromOtherInvestingActivities" xlink:label="loc_us-gaap_PaymentsForProceedsFromOtherInvestingActivities_54e087e7-dea1-4188-710c-f95dcb130e6e" xlink:type="locator" />
    <link:calculationArc order="2" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_28655e34-499f-b7bf-c54f-5de0990d0c65" xlink:to="loc_us-gaap_PaymentsForProceedsFromOtherInvestingActivities_54e087e7-dea1-4188-710c-f95dcb130e6e" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_IncreaseDecreaseInNotesReceivableRelatedParties" xlink:label="loc_us-gaap_IncreaseDecreaseInNotesReceivableRelatedParties_76876e1d-6201-e9df-4873-17d1f2690979" xlink:type="locator" />
    <link:calculationArc order="3" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_28655e34-499f-b7bf-c54f-5de0990d0c65" xlink:to="loc_us-gaap_IncreaseDecreaseInNotesReceivableRelatedParties_76876e1d-6201-e9df-4873-17d1f2690979" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_PaymentsToAcquirePropertyPlantAndEquipment" xlink:label="loc_us-gaap_PaymentsToAcquirePropertyPlantAndEquipment_6d89f221-3ede-36b2-fcad-4a4ce1606f6a" xlink:type="locator" />
    <link:calculationArc order="4" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_28655e34-499f-b7bf-c54f-5de0990d0c65" xlink:to="loc_us-gaap_PaymentsToAcquirePropertyPlantAndEquipment_6d89f221-3ede-36b2-fcad-4a4ce1606f6a" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_PaymentsToAcquireInvestments" xlink:label="loc_us-gaap_PaymentsToAcquireInvestments_94ef4f28-36c0-ebcc-c252-3b37968b424e" xlink:type="locator" />
    <link:calculationArc order="5" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_28655e34-499f-b7bf-c54f-5de0990d0c65" xlink:to="loc_us-gaap_PaymentsToAcquireInvestments_94ef4f28-36c0-ebcc-c252-3b37968b424e" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_ProceedsFromSaleMaturityAndCollectionsOfInvestments" xlink:label="loc_us-gaap_ProceedsFromSaleMaturityAndCollectionsOfInvestments_a83cb8b7-22b0-ae08-9c13-0f3ffbed48d6" xlink:type="locator" />
    <link:calculationArc order="6" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_28655e34-499f-b7bf-c54f-5de0990d0c65" xlink:to="loc_us-gaap_ProceedsFromSaleMaturityAndCollectionsOfInvestments_a83cb8b7-22b0-ae08-9c13-0f3ffbed48d6" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_PaymentsForNuclearFuel" xlink:label="loc_us-gaap_PaymentsForNuclearFuel_573dc2bb-9382-dec0-18fd-5dbdae052fa7" xlink:type="locator" />
    <link:calculationArc order="7" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_28655e34-499f-b7bf-c54f-5de0990d0c65" xlink:to="loc_us-gaap_PaymentsForNuclearFuel_573dc2bb-9382-dec0-18fd-5dbdae052fa7" xlink:type="arc" />
    <link:loc xlink:href="aep-20180930.xsd#aep_ProceedsFromSaleOfMerchantGenerationAssets" xlink:label="loc_aep_ProceedsFromSaleOfMerchantGenerationAssets_3e172a9b-3baa-b4f8-5f85-fc1fdcbfea1f" xlink:type="locator" />
    <link:calculationArc order="8" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_28655e34-499f-b7bf-c54f-5de0990d0c65" xlink:to="loc_aep_ProceedsFromSaleOfMerchantGenerationAssets_3e172a9b-3baa-b4f8-5f85-fc1fdcbfea1f" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_NetCashProvidedByUsedInFinancingActivities" xlink:label="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_d8917e24-06dd-060d-a290-e426c7895e54" xlink:type="locator" />
    <link:calculationArc order="3" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseExcludingExchangeRateEffect_c64b7cdb-8ea7-0c01-95ce-44eab1a859bf" xlink:to="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_d8917e24-06dd-060d-a290-e426c7895e54" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_ProceedsFromIssuanceOfCommonStock" xlink:label="loc_us-gaap_ProceedsFromIssuanceOfCommonStock_6ec8bc8e-bcd9-36ad-d8ae-2c2fa1dfd920" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_d8917e24-06dd-060d-a290-e426c7895e54" xlink:to="loc_us-gaap_ProceedsFromIssuanceOfCommonStock_6ec8bc8e-bcd9-36ad-d8ae-2c2fa1dfd920" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_ProceedsFromShortTermDebtMaturingInMoreThanThreeMonths" xlink:label="loc_us-gaap_ProceedsFromShortTermDebtMaturingInMoreThanThreeMonths_c84f95aa-1bd5-1999-dfe3-9bfb7e6b1e89" xlink:type="locator" />
    <link:calculationArc order="2" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_d8917e24-06dd-060d-a290-e426c7895e54" xlink:to="loc_us-gaap_ProceedsFromShortTermDebtMaturingInMoreThanThreeMonths_c84f95aa-1bd5-1999-dfe3-9bfb7e6b1e89" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_RepaymentsOfShortTermDebtMaturingInMoreThanThreeMonths" xlink:label="loc_us-gaap_RepaymentsOfShortTermDebtMaturingInMoreThanThreeMonths_b47aa2ed-4d0a-3263-1db9-05bf4a02c504" xlink:type="locator" />
    <link:calculationArc order="3" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_d8917e24-06dd-060d-a290-e426c7895e54" xlink:to="loc_us-gaap_RepaymentsOfShortTermDebtMaturingInMoreThanThreeMonths_b47aa2ed-4d0a-3263-1db9-05bf4a02c504" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_ProceedsFromRepaymentsOfShortTermDebtMaturingInThreeMonthsOrLess" xlink:label="loc_us-gaap_ProceedsFromRepaymentsOfShortTermDebtMaturingInThreeMonthsOrLess_406c4f63-e26a-88c7-9bfe-bd9759f8c3a9" xlink:type="locator" />
    <link:calculationArc order="4" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_d8917e24-06dd-060d-a290-e426c7895e54" xlink:to="loc_us-gaap_ProceedsFromRepaymentsOfShortTermDebtMaturingInThreeMonthsOrLess_406c4f63-e26a-88c7-9bfe-bd9759f8c3a9" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_ProceedsFromPaymentsForOtherFinancingActivities" xlink:label="loc_us-gaap_ProceedsFromPaymentsForOtherFinancingActivities_38e7f3e2-9d1a-8772-e4aa-fb2cb7d8adc0" xlink:type="locator" />
    <link:calculationArc order="5" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_d8917e24-06dd-060d-a290-e426c7895e54" xlink:to="loc_us-gaap_ProceedsFromPaymentsForOtherFinancingActivities_38e7f3e2-9d1a-8772-e4aa-fb2cb7d8adc0" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_ProceedsFromIssuanceOfLongTermDebt" xlink:label="loc_us-gaap_ProceedsFromIssuanceOfLongTermDebt_60ab1096-bf53-5d61-76bd-431fe857fc03" xlink:type="locator" />
    <link:calculationArc order="6" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_d8917e24-06dd-060d-a290-e426c7895e54" xlink:to="loc_us-gaap_ProceedsFromIssuanceOfLongTermDebt_60ab1096-bf53-5d61-76bd-431fe857fc03" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_RepaymentsOfLongTermDebt" xlink:label="loc_us-gaap_RepaymentsOfLongTermDebt_cfa1e746-5920-c3b5-33ed-a7dee018f26c" xlink:type="locator" />
    <link:calculationArc order="7" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_d8917e24-06dd-060d-a290-e426c7895e54" xlink:to="loc_us-gaap_RepaymentsOfLongTermDebt_cfa1e746-5920-c3b5-33ed-a7dee018f26c" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_RepaymentsOfLongTermCapitalLeaseObligations" xlink:label="loc_us-gaap_RepaymentsOfLongTermCapitalLeaseObligations_99289045-641b-e134-789c-dbf0b6bfb577" xlink:type="locator" />
    <link:calculationArc order="8" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_d8917e24-06dd-060d-a290-e426c7895e54" xlink:to="loc_us-gaap_RepaymentsOfLongTermCapitalLeaseObligations_99289045-641b-e134-789c-dbf0b6bfb577" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_PaymentsOfDividendsCommonStock" xlink:label="loc_us-gaap_PaymentsOfDividendsCommonStock_15de0c29-7f29-fc68-dcff-36f8e7ff06d8" xlink:type="locator" />
    <link:calculationArc order="9" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_d8917e24-06dd-060d-a290-e426c7895e54" xlink:to="loc_us-gaap_PaymentsOfDividendsCommonStock_15de0c29-7f29-fc68-dcff-36f8e7ff06d8" xlink:type="arc" />
    <link:loc xlink:href="aep-20180930.xsd#aep_MakeWholePremiumonExtinguishmentofLongtermDebt" xlink:label="loc_aep_MakeWholePremiumonExtinguishmentofLongtermDebt_6f6196da-b83b-9ded-241d-fc1fdda0a10b" xlink:type="locator" />
    <link:calculationArc order="10" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_d8917e24-06dd-060d-a290-e426c7895e54" xlink:to="loc_aep_MakeWholePremiumonExtinguishmentofLongtermDebt_6f6196da-b83b-9ded-241d-fc1fdda0a10b" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_IncreaseDecreaseInNotesPayableRelatedParties" xlink:label="loc_us-gaap_IncreaseDecreaseInNotesPayableRelatedParties_f41632fa-70ad-d531-767e-819355ca0d4b" xlink:type="locator" />
    <link:calculationArc order="11" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_d8917e24-06dd-060d-a290-e426c7895e54" xlink:to="loc_us-gaap_IncreaseDecreaseInNotesPayableRelatedParties_f41632fa-70ad-d531-767e-819355ca0d4b" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_PaymentsOfDistributionsToAffiliates" xlink:label="loc_us-gaap_PaymentsOfDistributionsToAffiliates_e7cffaad-211d-db78-46d3-44f9e73c2872" xlink:type="locator" />
    <link:calculationArc order="12" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_d8917e24-06dd-060d-a290-e426c7895e54" xlink:to="loc_us-gaap_PaymentsOfDistributionsToAffiliates_e7cffaad-211d-db78-46d3-44f9e73c2872" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_ProceedsFromContributionsFromParent" xlink:label="loc_us-gaap_ProceedsFromContributionsFromParent_24983363-084f-af9b-73b5-01883f18ad71" xlink:type="locator" />
    <link:calculationArc order="13" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_d8917e24-06dd-060d-a290-e426c7895e54" xlink:to="loc_us-gaap_ProceedsFromContributionsFromParent_24983363-084f-af9b-73b5-01883f18ad71" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_CashAndCashEquivalentsPeriodIncreaseDecrease" xlink:label="loc_us-gaap_CashAndCashEquivalentsPeriodIncreaseDecrease_ad8f5587-cd30-97dd-9cf0-81ed4f58516c" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_CashAndCashEquivalentsPeriodIncreaseDecrease_ad8f5587-cd30-97dd-9cf0-81ed4f58516c" xlink:to="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_1bd0bd4e-4a6f-b052-029c-0ecb0c520251" xlink:type="arc" />
    <link:calculationArc order="2" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_CashAndCashEquivalentsPeriodIncreaseDecrease_ad8f5587-cd30-97dd-9cf0-81ed4f58516c" xlink:to="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_28655e34-499f-b7bf-c54f-5de0990d0c65" xlink:type="arc" />
    <link:calculationArc order="3" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_CashAndCashEquivalentsPeriodIncreaseDecrease_ad8f5587-cd30-97dd-9cf0-81ed4f58516c" xlink:to="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_d8917e24-06dd-060d-a290-e426c7895e54" xlink:type="arc" />
  </link:calculationLink>
  <link:calculationLink xlink:role="http://www.aep.com/role/CondensedConsolidatedStatementsOfChangesInEquity" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.aep.com/role/ConsolidatedStatementsOfComprehensiveIncomeLoss" xlink:type="extended">
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_ComprehensiveIncomeNetOfTax" xlink:label="loc_us-gaap_ComprehensiveIncomeNetOfTax_cf605d39-9067-2f07-a6b5-7dfa6481009e" xlink:type="locator" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_ComprehensiveIncomeNetOfTaxIncludingPortionAttributableToNoncontrollingInterest" xlink:label="loc_us-gaap_ComprehensiveIncomeNetOfTaxIncludingPortionAttributableToNoncontrollingInterest_0e67d263-6e0f-cbd4-f553-6c8cebeb68d8" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_ComprehensiveIncomeNetOfTax_cf605d39-9067-2f07-a6b5-7dfa6481009e" xlink:to="loc_us-gaap_ComprehensiveIncomeNetOfTaxIncludingPortionAttributableToNoncontrollingInterest_0e67d263-6e0f-cbd4-f553-6c8cebeb68d8" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_ProfitLoss" xlink:label="loc_us-gaap_ProfitLoss_8aa68cfb-2df7-9a23-d1ed-4fe33385b4a2" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_ComprehensiveIncomeNetOfTaxIncludingPortionAttributableToNoncontrollingInterest_0e67d263-6e0f-cbd4-f553-6c8cebeb68d8" xlink:to="loc_us-gaap_ProfitLoss_8aa68cfb-2df7-9a23-d1ed-4fe33385b4a2" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_OtherComprehensiveIncomeLossDerivativesQualifyingAsHedgesNetOfTax" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossDerivativesQualifyingAsHedgesNetOfTax_f44275a4-2994-4281-73e3-0fa77d53374b" xlink:type="locator" />
    <link:calculationArc order="2" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_ComprehensiveIncomeNetOfTaxIncludingPortionAttributableToNoncontrollingInterest_0e67d263-6e0f-cbd4-f553-6c8cebeb68d8" xlink:to="loc_us-gaap_OtherComprehensiveIncomeLossDerivativesQualifyingAsHedgesNetOfTax_f44275a4-2994-4281-73e3-0fa77d53374b" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_OtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentNetOfTax" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentNetOfTax_7f6d9e2c-c748-5cf7-7279-5c01f0cb27b7" xlink:type="locator" />
    <link:calculationArc order="3" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_ComprehensiveIncomeNetOfTaxIncludingPortionAttributableToNoncontrollingInterest_0e67d263-6e0f-cbd4-f553-6c8cebeb68d8" xlink:to="loc_us-gaap_OtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentNetOfTax_7f6d9e2c-c748-5cf7-7279-5c01f0cb27b7" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_OtherComprehensiveIncomeLossPensionAndOtherPostretirementBenefitPlansAdjustmentNetOfTax" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossPensionAndOtherPostretirementBenefitPlansAdjustmentNetOfTax_e83cd656-9fce-43ca-6f7c-1be78bef4068" xlink:type="locator" />
    <link:calculationArc order="4" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_ComprehensiveIncomeNetOfTaxIncludingPortionAttributableToNoncontrollingInterest_0e67d263-6e0f-cbd4-f553-6c8cebeb68d8" xlink:to="loc_us-gaap_OtherComprehensiveIncomeLossPensionAndOtherPostretirementBenefitPlansAdjustmentNetOfTax_e83cd656-9fce-43ca-6f7c-1be78bef4068" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_ComprehensiveIncomeNetOfTaxAttributableToNoncontrollingInterest" xlink:label="loc_us-gaap_ComprehensiveIncomeNetOfTaxAttributableToNoncontrollingInterest_ff106bf5-082b-8f58-cc36-c7f91866b7d3" xlink:type="locator" />
    <link:calculationArc order="2" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_ComprehensiveIncomeNetOfTax_cf605d39-9067-2f07-a6b5-7dfa6481009e" xlink:to="loc_us-gaap_ComprehensiveIncomeNetOfTaxAttributableToNoncontrollingInterest_ff106bf5-082b-8f58-cc36-c7f91866b7d3" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_OtherComprehensiveIncomeLossNetOfTax" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTax_e68ce304-18e4-96c0-3260-363a872863db" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTax_e68ce304-18e4-96c0-3260-363a872863db" xlink:to="loc_us-gaap_OtherComprehensiveIncomeLossDerivativesQualifyingAsHedgesNetOfTax_f44275a4-2994-4281-73e3-0fa77d53374b" xlink:type="arc" />
    <link:calculationArc order="2" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTax_e68ce304-18e4-96c0-3260-363a872863db" xlink:to="loc_us-gaap_OtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentNetOfTax_7f6d9e2c-c748-5cf7-7279-5c01f0cb27b7" xlink:type="arc" />
    <link:calculationArc order="3" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTax_e68ce304-18e4-96c0-3260-363a872863db" xlink:to="loc_us-gaap_OtherComprehensiveIncomeLossPensionAndOtherPostretirementBenefitPlansAdjustmentNetOfTax_e83cd656-9fce-43ca-6f7c-1be78bef4068" xlink:type="arc" />
  </link:calculationLink>
  <link:calculationLink xlink:role="http://www.aep.com/role/ConsolidatedStatementsOfComprehensiveIncomeLossParenthetical" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.aep.com/role/ConsolidatedStatementsOfIncome" xlink:type="extended">
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic" xlink:label="loc_us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic_4d7615b5-9ab5-8e33-2d33-f406eee209fc" xlink:type="locator" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_ProfitLoss" xlink:label="loc_us-gaap_ProfitLoss_8aa68cfb-2df7-9a23-d1ed-4fe33385b4a2" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic_4d7615b5-9ab5-8e33-2d33-f406eee209fc" xlink:to="loc_us-gaap_ProfitLoss_8aa68cfb-2df7-9a23-d1ed-4fe33385b4a2" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments" xlink:label="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments_19dfad62-5a43-dcc4-04a8-012732c1ed97" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_ProfitLoss_8aa68cfb-2df7-9a23-d1ed-4fe33385b4a2" xlink:to="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments_19dfad62-5a43-dcc4-04a8-012732c1ed97" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_OperatingIncomeLoss" xlink:label="loc_us-gaap_OperatingIncomeLoss_5c890570-5904-7978-36d8-35b96dcf45ab" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments_19dfad62-5a43-dcc4-04a8-012732c1ed97" xlink:to="loc_us-gaap_OperatingIncomeLoss_5c890570-5904-7978-36d8-35b96dcf45ab" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_Revenues" xlink:label="loc_us-gaap_Revenues_435f940b-a471-4122-5132-a245458f6913" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OperatingIncomeLoss_5c890570-5904-7978-36d8-35b96dcf45ab" xlink:to="loc_us-gaap_Revenues_435f940b-a471-4122-5132-a245458f6913" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_OperatingExpenses" xlink:label="loc_us-gaap_OperatingExpenses_a2f4cf19-54a3-c9c5-9b4d-23b76125e270" xlink:type="locator" />
    <link:calculationArc order="2" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OperatingIncomeLoss_5c890570-5904-7978-36d8-35b96dcf45ab" xlink:to="loc_us-gaap_OperatingExpenses_a2f4cf19-54a3-c9c5-9b4d-23b76125e270" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_InterestExpense" xlink:label="loc_us-gaap_InterestExpense_a56b34b7-57ab-a07c-7f03-8366849a14f0" xlink:type="locator" />
    <link:calculationArc order="2" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments_19dfad62-5a43-dcc4-04a8-012732c1ed97" xlink:to="loc_us-gaap_InterestExpense_a56b34b7-57ab-a07c-7f03-8366849a14f0" xlink:type="arc" />
    <link:loc xlink:href="aep-20180930.xsd#aep_CarryingCostsIncome" xlink:label="loc_aep_CarryingCostsIncome_72c7d2c0-483c-20fd-32c2-fc1fdce488bf" xlink:type="locator" />
    <link:calculationArc order="3" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments_19dfad62-5a43-dcc4-04a8-012732c1ed97" xlink:to="loc_aep_CarryingCostsIncome_72c7d2c0-483c-20fd-32c2-fc1fdce488bf" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_PublicUtilitiesAllowanceForFundsUsedDuringConstructionCapitalizedCostOfEquity" xlink:label="loc_us-gaap_PublicUtilitiesAllowanceForFundsUsedDuringConstructionCapitalizedCostOfEquity_e6805b8d-c095-b84b-4b3a-84164080c52a" xlink:type="locator" />
    <link:calculationArc order="4" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments_19dfad62-5a43-dcc4-04a8-012732c1ed97" xlink:to="loc_us-gaap_PublicUtilitiesAllowanceForFundsUsedDuringConstructionCapitalizedCostOfEquity_e6805b8d-c095-b84b-4b3a-84164080c52a" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_NetPeriodicDefinedBenefitsExpenseReversalOfExpenseExcludingServiceCostComponent" xlink:label="loc_us-gaap_NetPeriodicDefinedBenefitsExpenseReversalOfExpenseExcludingServiceCostComponent_1e3c3258-b183-46f0-adba-3b6d30d33bb4" xlink:type="locator" />
    <link:calculationArc order="5" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments_19dfad62-5a43-dcc4-04a8-012732c1ed97" xlink:to="loc_us-gaap_NetPeriodicDefinedBenefitsExpenseReversalOfExpenseExcludingServiceCostComponent_1e3c3258-b183-46f0-adba-3b6d30d33bb4" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_InvestmentIncomeNet" xlink:label="loc_us-gaap_InvestmentIncomeNet_4f5bad86-488c-1b1d-6a90-50ab7a9f4014" xlink:type="locator" />
    <link:calculationArc order="6" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments_19dfad62-5a43-dcc4-04a8-012732c1ed97" xlink:to="loc_us-gaap_InvestmentIncomeNet_4f5bad86-488c-1b1d-6a90-50ab7a9f4014" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_GainLossOnSaleOfStockInSubsidiaryOrEquityMethodInvestee" xlink:label="loc_us-gaap_GainLossOnSaleOfStockInSubsidiaryOrEquityMethodInvestee_ccd77703-9014-24b4-2c0c-9b79ca068bf4" xlink:type="locator" />
    <link:calculationArc order="7" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments_19dfad62-5a43-dcc4-04a8-012732c1ed97" xlink:to="loc_us-gaap_GainLossOnSaleOfStockInSubsidiaryOrEquityMethodInvestee_ccd77703-9014-24b4-2c0c-9b79ca068bf4" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_InvestmentIncomeInterestAndDividend" xlink:label="loc_us-gaap_InvestmentIncomeInterestAndDividend_7267cf96-41e4-1138-f484-44ab662a687e" xlink:type="locator" />
    <link:calculationArc order="8" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments_19dfad62-5a43-dcc4-04a8-012732c1ed97" xlink:to="loc_us-gaap_InvestmentIncomeInterestAndDividend_7267cf96-41e4-1138-f484-44ab662a687e" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_OtherNonoperatingIncomeExpense" xlink:label="loc_us-gaap_OtherNonoperatingIncomeExpense_41e96f8d-e499-8de8-69a8-27f1c7d4df6e" xlink:type="locator" />
    <link:calculationArc order="9" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments_19dfad62-5a43-dcc4-04a8-012732c1ed97" xlink:to="loc_us-gaap_OtherNonoperatingIncomeExpense_41e96f8d-e499-8de8-69a8-27f1c7d4df6e" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_IncomeTaxExpenseBenefit" xlink:label="loc_us-gaap_IncomeTaxExpenseBenefit_97bbae57-7f84-4da9-acab-610e56204929" xlink:type="locator" />
    <link:calculationArc order="2" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_ProfitLoss_8aa68cfb-2df7-9a23-d1ed-4fe33385b4a2" xlink:to="loc_us-gaap_IncomeTaxExpenseBenefit_97bbae57-7f84-4da9-acab-610e56204929" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_IncomeLossFromEquityMethodInvestments" xlink:label="loc_us-gaap_IncomeLossFromEquityMethodInvestments_d01a4d5f-b660-27b4-db84-9a80227862fc" xlink:type="locator" />
    <link:calculationArc order="3" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_ProfitLoss_8aa68cfb-2df7-9a23-d1ed-4fe33385b4a2" xlink:to="loc_us-gaap_IncomeLossFromEquityMethodInvestments_d01a4d5f-b660-27b4-db84-9a80227862fc" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_NetIncomeLossAttributableToNoncontrollingInterest" xlink:label="loc_us-gaap_NetIncomeLossAttributableToNoncontrollingInterest_f5ae002e-8316-7bc0-1b41-6cd171b53db3" xlink:type="locator" />
    <link:calculationArc order="2" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic_4d7615b5-9ab5-8e33-2d33-f406eee209fc" xlink:to="loc_us-gaap_NetIncomeLossAttributableToNoncontrollingInterest_f5ae002e-8316-7bc0-1b41-6cd171b53db3" xlink:type="arc" />
  </link:calculationLink>
  <link:calculationLink xlink:role="http://www.aep.com/role/DerivativesAndHedging" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.aep.com/role/DerivativesAndHedgingDetails" xlink:type="extended">
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_DerivativeAssetsLiabilitiesAtFairValueNet" xlink:label="loc_us-gaap_DerivativeAssetsLiabilitiesAtFairValueNet_5fa087a9-72b2-d160-995a-c77b1826f4b3" xlink:type="locator" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_DerivativeAssets" xlink:label="loc_us-gaap_DerivativeAssets_082aa8c2-a051-1bb7-d441-a6d93b3f45f4" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DerivativeAssetsLiabilitiesAtFairValueNet_5fa087a9-72b2-d160-995a-c77b1826f4b3" xlink:to="loc_us-gaap_DerivativeAssets_082aa8c2-a051-1bb7-d441-a6d93b3f45f4" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_DerivativeAssetsCurrent" xlink:label="loc_us-gaap_DerivativeAssetsCurrent_9f677d56-9250-6898-5be4-72422ced3be0" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DerivativeAssets_082aa8c2-a051-1bb7-d441-a6d93b3f45f4" xlink:to="loc_us-gaap_DerivativeAssetsCurrent_9f677d56-9250-6898-5be4-72422ced3be0" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_DerivativeAssetsNoncurrent" xlink:label="loc_us-gaap_DerivativeAssetsNoncurrent_1b627296-6ceb-171f-5c4f-23b7c7421d3f" xlink:type="locator" />
    <link:calculationArc order="2" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DerivativeAssets_082aa8c2-a051-1bb7-d441-a6d93b3f45f4" xlink:to="loc_us-gaap_DerivativeAssetsNoncurrent_1b627296-6ceb-171f-5c4f-23b7c7421d3f" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_DerivativeLiabilities" xlink:label="loc_us-gaap_DerivativeLiabilities_7e8e10f8-8ddc-2b6a-eea7-ea4d306368a1" xlink:type="locator" />
    <link:calculationArc order="2" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DerivativeAssetsLiabilitiesAtFairValueNet_5fa087a9-72b2-d160-995a-c77b1826f4b3" xlink:to="loc_us-gaap_DerivativeLiabilities_7e8e10f8-8ddc-2b6a-eea7-ea4d306368a1" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_DerivativeLiabilitiesCurrent" xlink:label="loc_us-gaap_DerivativeLiabilitiesCurrent_690493cd-e4bf-5e73-1767-85beb84cea8f" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DerivativeLiabilities_7e8e10f8-8ddc-2b6a-eea7-ea4d306368a1" xlink:to="loc_us-gaap_DerivativeLiabilitiesCurrent_690493cd-e4bf-5e73-1767-85beb84cea8f" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_DerivativeLiabilitiesNoncurrent" xlink:label="loc_us-gaap_DerivativeLiabilitiesNoncurrent_7537acaa-8649-0e59-f3d0-d9fe26fabbbc" xlink:type="locator" />
    <link:calculationArc order="2" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DerivativeLiabilities_7e8e10f8-8ddc-2b6a-eea7-ea4d306368a1" xlink:to="loc_us-gaap_DerivativeLiabilitiesNoncurrent_7537acaa-8649-0e59-f3d0-d9fe26fabbbc" xlink:type="arc" />
  </link:calculationLink>
  <link:calculationLink xlink:role="http://www.aep.com/role/DerivativesAndHedgingPolicies" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.aep.com/role/DerivativesAndHedgingTables" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.aep.com/role/DispostionsAndImpairments" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.aep.com/role/DispostionsAndImpairmentsDetails" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.aep.com/role/DocumentAndEntityInformation" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.aep.com/role/FairValueAssetsAndLiabilitiesDetails" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.aep.com/role/FairValueLongTermDebtOtherTemporaryInvestmentsNuclearTrustsDetails" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.aep.com/role/FairValueMeasurements" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.aep.com/role/FairValueMeasurementsPolicies" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.aep.com/role/FairValueMeasurementsTables" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.aep.com/role/FinancingActivities" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.aep.com/role/FinancingActivitiesDetails" xlink:type="extended">
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_LongTermDebt" xlink:label="loc_us-gaap_LongTermDebt_80dca0ba-44dc-8565-fb9b-c2edfc8c357d" xlink:type="locator" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_UnsecuredDebt" xlink:label="loc_us-gaap_UnsecuredDebt_fdc9d00d-e162-6828-9393-ab3548a11f46" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LongTermDebt_80dca0ba-44dc-8565-fb9b-c2edfc8c357d" xlink:to="loc_us-gaap_UnsecuredDebt_fdc9d00d-e162-6828-9393-ab3548a11f46" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_LongtermPollutionControlBondCurrentAndNoncurrent" xlink:label="loc_us-gaap_LongtermPollutionControlBondCurrentAndNoncurrent_1a56dd57-c030-90d8-7ff7-d5c0aa9a6b70" xlink:type="locator" />
    <link:calculationArc order="2" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LongTermDebt_80dca0ba-44dc-8565-fb9b-c2edfc8c357d" xlink:to="loc_us-gaap_LongtermPollutionControlBondCurrentAndNoncurrent_1a56dd57-c030-90d8-7ff7-d5c0aa9a6b70" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_OtherNotesPayable" xlink:label="loc_us-gaap_OtherNotesPayable_bb91c190-ee1a-a8f9-0729-c03b96542909" xlink:type="locator" />
    <link:calculationArc order="3" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LongTermDebt_80dca0ba-44dc-8565-fb9b-c2edfc8c357d" xlink:to="loc_us-gaap_OtherNotesPayable_bb91c190-ee1a-a8f9-0729-c03b96542909" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_SecuredDebt" xlink:label="loc_us-gaap_SecuredDebt_07f69f5d-1693-d29d-ef9d-db0691482fe5" xlink:type="locator" />
    <link:calculationArc order="4" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LongTermDebt_80dca0ba-44dc-8565-fb9b-c2edfc8c357d" xlink:to="loc_us-gaap_SecuredDebt_07f69f5d-1693-d29d-ef9d-db0691482fe5" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_SpentNuclearFuelObligationNoncurrent" xlink:label="loc_us-gaap_SpentNuclearFuelObligationNoncurrent_de0cb976-fea6-11c3-4691-cd0a4ef2a587" xlink:type="locator" />
    <link:calculationArc order="5" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LongTermDebt_80dca0ba-44dc-8565-fb9b-c2edfc8c357d" xlink:to="loc_us-gaap_SpentNuclearFuelObligationNoncurrent_de0cb976-fea6-11c3-4691-cd0a4ef2a587" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_OtherLongTermDebt" xlink:label="loc_us-gaap_OtherLongTermDebt_2822e451-0377-c062-4be6-063b9110832b" xlink:type="locator" />
    <link:calculationArc order="6" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LongTermDebt_80dca0ba-44dc-8565-fb9b-c2edfc8c357d" xlink:to="loc_us-gaap_OtherLongTermDebt_2822e451-0377-c062-4be6-063b9110832b" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_ShortTermBorrowings" xlink:label="loc_us-gaap_ShortTermBorrowings_422d7c41-753d-7765-5880-50978d071d31" xlink:type="locator" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_TransfersAccountedForAsSecuredBorrowingsAssociatedLiabilitiesCarryingAmount" xlink:label="loc_us-gaap_TransfersAccountedForAsSecuredBorrowingsAssociatedLiabilitiesCarryingAmount_9912eca3-81ec-b7ee-4489-91c994ccd380" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_ShortTermBorrowings_422d7c41-753d-7765-5880-50978d071d31" xlink:to="loc_us-gaap_TransfersAccountedForAsSecuredBorrowingsAssociatedLiabilitiesCarryingAmount_9912eca3-81ec-b7ee-4489-91c994ccd380" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_CommercialPaper" xlink:label="loc_us-gaap_CommercialPaper_f5834338-e76f-e036-a012-2ec099b46828" xlink:type="locator" />
    <link:calculationArc order="2" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_ShortTermBorrowings_422d7c41-753d-7765-5880-50978d071d31" xlink:to="loc_us-gaap_CommercialPaper_f5834338-e76f-e036-a012-2ec099b46828" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_NotesPayable" xlink:label="loc_us-gaap_NotesPayable_8cf192f8-a65f-6f91-f814-72eab2237f55" xlink:type="locator" />
    <link:calculationArc order="3" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_ShortTermBorrowings_422d7c41-753d-7765-5880-50978d071d31" xlink:to="loc_us-gaap_NotesPayable_8cf192f8-a65f-6f91-f814-72eab2237f55" xlink:type="arc" />
  </link:calculationLink>
  <link:calculationLink xlink:role="http://www.aep.com/role/FinancingActivitiesTables" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.aep.com/role/IncomeTaxes" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.aep.com/role/IncomeTaxesDetails" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.aep.com/role/IncomeTaxesTables" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.aep.com/role/NewAccountingPronouncements" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.aep.com/role/RateMatters" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.aep.com/role/RateMattersEastCompaniesDetails" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.aep.com/role/RateMattersRegulatedOperationsDetails" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.aep.com/role/RateMattersTables" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.aep.com/role/RateMattersWestCompaniesDetails" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.aep.com/role/RevenueFromContractsWithCustomers" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.aep.com/role/RevenueFromContractsWithCustomersDetails" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.aep.com/role/RevenueFromContractsWithCustomersTables" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.aep.com/role/SignificantAccountingMatters" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.aep.com/role/SignificantAccountingMattersDetails" xlink:type="extended">
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents" xlink:label="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_1ce4b89e-fa52-7101-5bea-622168a4559a" xlink:type="locator" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_CashAndCashEquivalentsAtCarryingValue" xlink:label="loc_us-gaap_CashAndCashEquivalentsAtCarryingValue_32f41ea9-05c6-e713-464b-586a571d1c1f" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_1ce4b89e-fa52-7101-5bea-622168a4559a" xlink:to="loc_us-gaap_CashAndCashEquivalentsAtCarryingValue_32f41ea9-05c6-e713-464b-586a571d1c1f" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_RestrictedCashAndCashEquivalentsAtCarryingValue" xlink:label="loc_us-gaap_RestrictedCashAndCashEquivalentsAtCarryingValue_0e2b0aef-f283-e3cd-a77b-e835b6efc171" xlink:type="locator" />
    <link:calculationArc order="2" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_1ce4b89e-fa52-7101-5bea-622168a4559a" xlink:to="loc_us-gaap_RestrictedCashAndCashEquivalentsAtCarryingValue_0e2b0aef-f283-e3cd-a77b-e835b6efc171" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2018/elts/us-gaap-2018-01-31.xsd#us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsIncludingDisposalGroupAndDiscontinuedOperations" xlink:label="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsIncludingDisposalGroupAndDiscontinuedOperations_c560fed6-f1bc-3ee9-ec6b-faec77e95835" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsIncludingDisposalGroupAndDiscontinuedOperations_c560fed6-f1bc-3ee9-ec6b-faec77e95835" xlink:to="loc_us-gaap_CashAndCashEquivalentsAtCarryingValue_32f41ea9-05c6-e713-464b-586a571d1c1f" xlink:type="arc" />
    <link:calculationArc order="2" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsIncludingDisposalGroupAndDiscontinuedOperations_c560fed6-f1bc-3ee9-ec6b-faec77e95835" xlink:to="loc_us-gaap_RestrictedCashAndCashEquivalentsAtCarryingValue_0e2b0aef-f283-e3cd-a77b-e835b6efc171" xlink:type="arc" />
  </link:calculationLink>
  <link:calculationLink xlink:role="http://www.aep.com/role/SignificantAccountingMattersPolicies" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.aep.com/role/SignificantAccountingMattersTables" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.aep.com/role/VariableInterestEntities" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.aep.com/role/VariableInterestEntitiesDetails" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.aep.com/role/VariableInterestEntitiesTables" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.aep.com/role/VariableInterestEntitiesVariableInterestEntitiesPolicies" xlink:type="extended" />
</link:linkbase>
