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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2014-04-01</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

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

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001575565</rptOwnerCik>
            <rptOwnerName>Tallgrass GP Holdings, LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>6640 W. 143RD STREET, SUITE 200</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>OVERLAND PARK</rptOwnerCity>
            <rptOwnerState>KS</rptOwnerState>
            <rptOwnerZipCode>66223</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001561924</rptOwnerCik>
            <rptOwnerName>Tallgrass Development GP, LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>6640 W. 143RD STREET, SUITE 200</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>OVERLAND PARK</rptOwnerCity>
            <rptOwnerState>KS</rptOwnerState>
            <rptOwnerZipCode>66223</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001561964</rptOwnerCik>
            <rptOwnerName>Tallgrass Development, LP</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>6640 W. 143RD STREET, SUITE 200</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>OVERLAND PARK</rptOwnerCity>
            <rptOwnerState>KS</rptOwnerState>
            <rptOwnerZipCode>66223</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001575249</rptOwnerCik>
            <rptOwnerName>Tallgrass Operations, LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>6640 W. 143RD STREET, SUITE 200</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>OVERLAND PARK</rptOwnerCity>
            <rptOwnerState>KS</rptOwnerState>
            <rptOwnerZipCode>66223</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>2014-04-01</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>J</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F2"/>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>385140</value>
                    <footnoteId id="F2"/>
                </transactionShares>
                <transactionPricePerShare>
                    <footnoteId id="F2"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>10085140</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See footnote</value>
                    <footnoteId id="F1"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">This Form 4 is being filed jointly by Tallgrass GP Holdings, LLC (&quot;Tallgrass GP Holdings&quot;), Tallgrass Development GP, LLC (&quot;Tallgrass Development GP&quot;), Tallgrass Development, LP (&quot;Tallgrass Development&quot;) and Tallgrass Operations, LLC (&quot;Tallgrass Operations&quot;). The securities of the Issuer are owned directly by Tallgrass Operations. Tallgrass GP Holdings directly owns 100% of the outstanding membership interests of Tallgrass Development GP. Tallgrass Development GP is the general partner of Tallgrass Development. Tallgrass Development directly owns 100% of the outstanding securities of Tallgrass Operations. Tallgrass GP Holdings, Tallgrass Development GP and Tallgrass Development may therefore be deemed to beneficially own securities of the Issuer owned directly by Tallgrass Operations.</footnote>
        <footnote id="F2">On April 1, 2014, the Issuer, Tallgrass Operations and Tallgrass Development entered into that certain Contribution and Sale Agreement pursuant to which the Issuer acquired 100% of the issued and outstanding membership interests in Trailblazer Pipeline Company LLC, a Delaware limited liability company (&quot;Trailblazer&quot;), from Tallgrass Operations.  The 385,140 common units representing limited partner interests acquired by Tallgrass Operations as reported herein were issued to Tallgrass Operations as partial consideration for the Issuer's acquisiton of Trailblazer.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>Tallgrass GP Holdings, LLC, /s/ George E. Rider, Executive Vice President, General Counsel and Secretary</signatureName>
        <signatureDate>2014-04-01</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>Tallgrass Development GP, LLC, /s/ George E. Rider, Executive Vice President, General Counsel and Secretary</signatureName>
        <signatureDate>2014-04-01</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>Tallgrass Development, LP, by: Tallgrass Development GP, LLC, its General Partner, /s/ George E. Rider, Executive Vice President, General Counsel and Secretary</signatureName>
        <signatureDate>2014-04-01</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>Tallgrass Operations, LLC, /s/ George E. Rider, Executive Vice President, General Counsel and Secretary</signatureName>
        <signatureDate>2014-04-01</signatureDate>
    </ownerSignature>
</ownershipDocument>
