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Appendix A Summary of the essential equations used in the model Appendix A Summary of the essential equations used in the model Summary of the essential equations used in the model A.1 State-of-charge c2T ⋅c5T .SoCT c3T⋅c4T 1 c2T⋅c5T c3T ⋅c4T A.2 Tankconcentrationofionicspecies .V dc TdtiT .V dc TdtiT Jout iStacks Jout iStacks J out iStacks J out iStacks Q c T iT Q c T iT , i∈{2,3,4,5} , i∈{2,3,4,5} NS Q NC Smcout NC iCmn n=1 m=1 NS Q NC Smcout NC iCmn n=1 m=1 A.3 Cellconcentrationofionicspecies cout 2C dcout V 3C IC 1I J2Cross J c cout 2T 2C E dt cout 4C C 3Cross S F0J4CrossNc 3C cout cout 5C cout 2C 0 0 J5Cross J2Cross C 4T 5T 4C cout dcout V 3C 2C I 3Cross S 3C E dt cout 4C IC J J5Cross C 4T 4C c cout cout 5C 5T 5C J2Cross J3Cross J4Cross J5Cross c2C c2CD2Mem c4C c4CD4Mem 2c5C c5CD5Mem AMem c3C c3CD3Mem 2c4C c4CD4Mem 3c5C c5CD5Mem Mem 0 0 0 1 0 F C J4Cross N c cout J2Cross+ J3Cross+ AMem 0 J4Cross+ Mem 3c2C c2CDMem+2c3C c3CD3Mem+c4C c4CD4Mem J5Cross+ 2c2C c2CD2Mem c3C c3CD3Mem c5C c5CD5Mem Qc3Tcout c c 5C cout 2T Q c3Tcout 147PDF Image | Model-based Design Vanadium Redox Flow Batteries
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