Page - 270 - in Emerging Technologies for Electric and Hybrid Vehicles

Energies 2017,10, 437 InTable 1, theoperationof the clutchandbrake, the lever analogy, and the speedand torque equation for eachmode are shown. It is seen fromTable 1 that EV#1 andpower splitmode are implementedasabasicoperatingmodewithoutanyadditionalelements. For theEV#2mode,BK2is required;meanwhileBK3isrequiredfor theparallelmode. Finally, it isnotedthatBK1andCL1are neededfor theseriesmode. Table1.Possibleoperatingmodeswith thespeedandtorqueequation. OperatingMode LeverAnalogy SpeedandTorqueEquation(NPG=Zr/Zs) EV#1 /) '0) /) Output $CVVGT[ Electrical pathS C R PG $- $- $- %. 2XWSXW 0* 6 & 50* ,QSXW (QJLQH [ ωMG1 ωMG2 ] = [ NPG 0 1 0 ][ ωout ωe ] [Tout]= [ 0 0 1 ]⎡⎣ TMG1Te TMG2 ⎤ ⎦ Power split /) '0) /) Output $CVVGT[ Electrical pathS C R PG $- $- $- %. 2XWSXW 0* 6 & 50* ,QSXW (QJLQH [ ωMG1 ωMG2 ] = [ −NPG 1+NPG 1 0 ][ ωout ωe ] [Tout]= [ 1 1 1 ]⎡⎣ TMG1Te TMG2 ⎤ ⎦ EV#2 /) '0) /) Output $CVVGT[ Electrical path %. S C R PG $- $- $- 2XWSXW 0* 6 & 50* ,QSXW (QJLQH $- [ ωMG1 ωMG2 ] = [ NPG 0 1 0 ][ ωout ωe ] [Tout]= [ NPG 0 1 ]⎡⎣ TMG1Te TMG2 ⎤ ⎦ Parallel /) '0) /) Output $CVVGT[ Electrical path %. S C R PG $- $- $- 2XWSXW 0* 6 & 50* ,QSXW (QJLQH =0 $- [ ωMG1 ωMG2 ] = [ 0 0 1 0 ][ ωout ωe ] [Tout]= [ 0 1+NPG 1 ]⎡⎣ TMG1Te TMG2 ⎤ ⎦ Series /) '0) /) Output $CVVGT[ Electrical pathS C R PG $- $- $- %. 2XWSXW 0* 6 & 50* ,QSXW (QJLQH $- [ ωMG1 ωMG2 ] = [ 0 1+NPG 1 0 ][ ωout ωe ] [Tout]= [ 0 0 1 ]⎡⎣ TMG1Te TMG2 ⎤ ⎦ InTable2, sixteencandidatesareshownwith theoperatingmodeandadditionalelement(s). It is seen fromTable2 that someof thecandidateshavea redundantelementwhenrealizing the target operatingmodes. Forexample, candidate#14canrealize theEV#1,powersplit,EV#2,andparallel modeonlybyusingBK2andBK3withoutCL1. Therefore, CL1 is a redundant element, and it is foundthatcandidate#14 isequivalent tocandidate#11. Similarly, candidate#15 isequivalent to#11, #2and#3areequivalent to#1,etc.Aftereliminatingthecandidates thathavearedundantelement (grayrows), eightcandidateswereselected,asshowninFigure7. 270