<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2015-05-12</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001569134</issuerCik>
        <issuerName>Tallgrass Energy Partners, LP</issuerName>
        <issuerTradingSymbol>TEP</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001561924</rptOwnerCik>
            <rptOwnerName>Tallgrass Energy Holdings, LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>4200 W. 115TH STREET, SUITE 350</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>LEAWOOD</rptOwnerCity>
            <rptOwnerState>KS</rptOwnerState>
            <rptOwnerZipCode>66211</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common units representing limited partner interests</value>
            </securityTitle>
            <transactionDate>
                <value>2015-05-12</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>20000000</value>
                    <footnoteId id="F1"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>47.68</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>6355480</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By Tallgrass Operations, LLC</value>
                    <footnoteId id="F2"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common units representing limited partner interests</value>
            </securityTitle>
            <transactionDate>
                <value>2015-05-12</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>P</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>20000000</value>
                    <footnoteId id="F1"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>47.68</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>20000000</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By Tallgrass Equity, LLC</value>
                    <footnoteId id="F3"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">The reported transaction involved a sale, in connection with the closing of the initial public offering of Tallgrass Energy GP, LP, of 20,000,000 common units representing limited partner interests (&quot;Common Units&quot;) of Tallgrass Energy Partners, LP (the &quot;Issuer&quot;) by Tallgrass Operations, LLC (&quot;Tallgrass Operations&quot;) to Tallgrass Equity, LLC (&quot;Tallgrass Equity&quot;).</footnote>
        <footnote id="F2">Tallgrass Energy Holdings, LLC (the &quot;Reporting Person&quot;) is the general partner of Tallgrass Development, LP (&quot;Tallgrass Development&quot;). Tallgrass Development directly owns 100% of the outstanding securities of Tallgrass Operations.  Tallgrass Operations directly owns Common Units of the Issuer.  The Reporting Person may therefore be deemed to beneficially own Common Units of the Issuer owned directly by Tallgrass Operations.  The Reporting Person disclaims beneficial ownership of the Common Units held by Tallgrass Operations except to the extent of its pecuniary interest therein.</footnote>
        <footnote id="F3">The Reporting Person directly owns 100% of the outstanding securities of TEGP Management, LLC (&quot;TEGP GP&quot;).  TEGP GP is the general partner of Tallgrass Energy GP, LP (&quot;TEGP&quot;).  TEGP is the managing member of Tallgrass Equity.  As a result of the reported transactions, Tallgrass Equity directly owns 20,000,000 Common Units of the Issuer.  The Reporting Person may therefore be deemed to beneficially own securities of the Issuer owned directly by Tallgrass Equity.  The Reporting Person disclaims beneficial ownership of the Common Units held by Tallgrass Equity except to the extent of its pecuniary interest therein.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>Tallgrass Energy Holdings, LLC, /s/ Chris Jones, Name: Chris Jones, Title: Assistant Secretary</signatureName>
        <signatureDate>2016-01-04</signatureDate>
    </ownerSignature>
</ownershipDocument>
