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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2018-06-28</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>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001633651</rptOwnerCik>
            <rptOwnerName>Tallgrass Energy, LP</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>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001633653</rptOwnerCik>
            <rptOwnerName>TEGP Management, 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>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001575565</rptOwnerCik>
            <rptOwnerName>Tallgrass Equity, 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>2018-06-28</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>P</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F1"/>
                <footnoteId id="F2"/>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>25645</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>44.5314</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>25644863</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Footnote</value>
                    <footnoteId id="F3"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">Tallgrass Equity Investments, LLC, a Delaware limited liability company (&quot;Tallgrass Equity Investments&quot;), acquired the common units representing limited partner interests (&quot;Common Units&quot;) in the Issuer reported herein pursuant to the Purchase and Sale Agreement, dated as of June 28, 2018, by and among the Issuer and Tallgrass Equity Investments, and the Agreement and Plan of Merger, dated as of March 26, 2018 (the &quot;Merger Agreement&quot;), by and among the Issuer, Tallgrass Equity, LLC, a Delaware limited liability company (&quot;Tallgrass Equity&quot;), Tallgrass Energy, LP, a Delaware limited partnership formerly known as Tallgrass Energy GP, LP (&quot;TGE&quot;), Razor Merger Sub, LLC, a Delaware limited liability company (&quot;Merger Sub&quot;), and Tallgrass MLP GP, LLC, a Delaware limited liability company,</footnote>
        <footnote id="F2">(Continued from Footnote 1) in connection with the merger of Merger Sub with and into the Issuer, with the Issuer surviving as a wholly-owned subsidiary of Tallgrass Equity and Tallgrass Equity Investments, pursuant to the Merger Agreement.</footnote>
        <footnote id="F3">This Form 4 is being filed jointly by Tallgrass Energy Holdings, LLC, a Delaware limited liability company (&quot;TEH&quot;), TGE, Tallgrass Energy GP, LLC, a Delaware limited liability company formerly known as TEGP Management, LLC (&quot;TGE GP&quot;), and Tallgrass Equity. TEH owns a 100% membership interest in TGE GP, which is the general partner of TGE. TGE is the managing member of Tallgrass Equity. Tallgrass Equity owns a 100% membership interest in Tallgrass Equity Investments. TEH, TGE, TGE GP and Tallgrass Equity may therefore be deemed to beneficially own securities of the Issuer owned directly by Tallgrass Equity Investments. Each of TEH, TGE, TGE GP and Tallgrass Equity disclaims beneficial ownership of the securities of the Issuer held by Tallgrass Equity Investments except to the extent of its respective pecuniary interest therein.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>Tallgrass Energy Holdings, LLC, /s/ Christopher R. Jones, Executive Vice President, General Counsel and Secretary</signatureName>
        <signatureDate>2018-07-02</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>Tallgrass Energy, LP, By: Tallgrass Energy GP, LLC, its general partner, /s/ Christopher R. Jones, Executive Vice President, General Counsel and Secretary</signatureName>
        <signatureDate>2018-07-02</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>Tallgrass Energy GP, LLC, /s/ Christopher R. Jones, Executive Vice President, General Counsel and Secretary</signatureName>
        <signatureDate>2018-07-02</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>Tallgrass Equity, LLC, /s/ Christopher R. Jones, Executive Vice President, General Counsel and Secretary</signatureName>
        <signatureDate>2018-07-02</signatureDate>
    </ownerSignature>
</ownershipDocument>
