6 CCM Boos 45 v L1 v v L D1 v D3 C 1 C vc vc 1 v in S R ESR1 R ESR 1 maximum power poin racking MPPT Fig. 1 DC DC 1. CCM Boos S CCM Boos 1 a C 1 i L D

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1 ELECTRI C MACHINES AND CONTROL Vol. 16 No. 6 Jun. 1 CCM Boos 6131 CCM Boos CCM Boos CISM IISM CISM IISM CCM Boos CISM IISM CCM Boos CISM CISM IISM Boos TM 46 A X Energy ransmission mode of quadraic CCM Boos converer YANG PingXU JianpingZHANG ShiyuZHANG Fei School of Elecrical EngineeringSouhwes Jiaoong UniversiyChengdu 6131China Absrac In order o analyze he oupu volage ripple characerisics of quadraic CCM Boos converer energy ransmission modes ETM were discussed. According o he relaion of he valley inducor curren and he oupu currenetm of quadraic CCM Boos converer during swich urned off were analyzed. ETM were divided ino he complee inducor supply mode CISM and he incomplee inducor supply mode IISM. Considering he exisence of oupu capacior equivalen series resisance ESR oupu volage ripples of quadraic CCM Boos converer in boh CISM and IISM were analyzed and he criical inducor and criical condiion beween CISM and IISM were deduced. Ignoring he exisence of ESRoupu volage ripple of quadraic CCM Boos converer in CISM was deermined by capacior volage during swich urned off and was independen of he curren flowing hrough he inducor. While considering he exisence of ESRquadraic CCM Boos converer in CISM had smaller oupu volage ripple han in IISM. A prooype quadraic CCM Boos converer was buil and he experimenal resuls verify he analysis resuls. Key words quadraic boos converer criical inducor oupu volage ripple equivalen series resisance energy ransmission mode

2 6 CCM Boos 45 v L1 v v L D1 v D3 C 1 C vc vc 1 v in S R ESR1 R ESR 1 maximum power poin racking MPPT Fig. 1 DC DC 1. CCM Boos S CCM Boos 1 a C 1 i L D L 1 i L1 DC DC D 1 DC C DC D 3 3 S CCM Boos 4 DC b DC i i V L DC > i CISM i V L DC < i IISM DC DC D DC v D L 1 i L1 D 1 i L D 3 i DC v L1 v v L D1 v D3 C 1 C 5 6 CCM Boos i L i CCM Boos complee inducor supply modecism incomplee inducor supply mode IISM R ESR R ESR CISM IISM (b) 开关管 S 关断 CCM Boos Boos Fig. Equivalen circui of quadraic Boos converer 1 Boos 1. 1 Boos Boos 1 D 3 L 1 C 1 C S D 1 D D 1 L 1 D 3 R ESR1 R ESR L 1 C 1 i L1 C 1 C D coninuous conducion mode CCM Boos L 1 L 1 v L1 i L1 i L1 D 1 D v D i L D 3 i Boos Quadraic Boos converer R ESR1 vc 1 S (a) 开关管 S 导通 D 1 v D1 C 1 R ESR1 D v D v L vc 1 S R ESR vc i L D 3 i v D3 C R ESR vc 1 CISM S i L v C 3 a v v v C

3 46 16 CISM i L i 1 ~ 3 S v IISM S 3 b I L 1 Δi 1 ~ CCM Boos 1 CISM v 1 i L i L i ~ 3 1 D v C 1 1 D 3 C 3 i L C i > i L i L i P v C v P C v V C i L i P 1 3 (a) 完全电感供能模式 i v S i L i L 1 D 3 R 1 DT i 1 D 1 i 1 D R DT 4 CCM Boos CISM IISM i 4 L C 1 L C 1 1 D RT 5 R ESR > L C 1 CCM Boos CISM < L C 1 IISM. R ESR T Δi L i L I 9 L v C v P C i Δi L v C 1 v ESR1 DT I L L i 1 D 6 v ESR1 R ESR1 v ESR1 v ESR1 Δi L 3 Fig. 3 v V C 1 3 (b) 不完全电感供能模式 CCM Boos i L v C Inducor curren i L and oupu volage v C of quadraic CCM Boos converer v CISM IISM. 1 CCM Boos S i L i L i P 7 8 Δi L v C 1 DT i P 1 Δi I L 1 DT 1 D 3 R 1 CISM IISM i 9 R ESR L C C 1 Δi L T i L I L L C R ESR1DT 1 D RTJ 1 1 D T i L R D R ESR > L C CCM i L i P i P 1 Δi I L 1 DT i 1 D 8 S i L I L 1 Δi i 1 D 1 DT [ ] 1 D 1 DR ESR1 R 1 D J J DR ESR1 R 1 D R ESR R 1 D 3 R ESR R 9

4 6 CCM Boos 47 Boos CISM < L C IISM 3 CCM Boos M Δv 1 S ~ 1 C Δv 1 Δv C i DT v D C RC f 11 M 3. Δv C C f R ESR CCM Boos 11 C CISM i L v v C R ESR v ESR 4 a R ESR CCM Boos 1 ~ 3 S P IISM i L v C V 3 b 4 a 1 ~ 3 Δv 1 ~ C S C 1 R ESR i C v ESR 1 ~ 3 i C i L i i P v i L 1 i C i L i 1 C Δ Δ 1 ip i v 13 Δv Δv 1 C i C d 1 1 C Δ i C d Δv v 8C [ ind T R 1 D 4 4v indt R 1 D v Dv R 1 D 5 4v in 4 DTi R 1 D 5 v Dv R 1 D 5 8 i R 1 D 3 4 i R 1 D 6 v Dv R 5 1 D ] R ESR CCM Boos IISM Δv C R ESR v ESR C 15 i C i L i Δv 4L v in 4 i R 1 D 3 i R 1 D 6 8C R v Dv 1 D 5 v ind T R 1 D 4 8C R v Dv 1 D 5 16 M 16 DTR 1 D 槡 4v in 8 Ri 1 D 3 4i R 1 D R ESR CCM Boos CISM i L v C Δv v ind T R 1 D 4 3 a 1 4C R v Dv 1 D 5 > Δv C R ESR v ESR v ESR Δv 1 v ESR v ESR Δv C 19 R ESR i P i i R ESR i P i P 1 Δi I L 1 i DT 1 D ( ) ( d i ) v ESR i L i R ESR 3 v d i R ESR 1 Δv C 1 C 3 1 i L i d 1 C v d R ESR CCM Boos IISM i L v v C R ESR v ESR 4 b 4 b 1 ~ 1 R ESR v ESR 1 ~ C Δ 1 Δ 1 ip i v

5 48 16 R ESR CCM 19 R C Boos IISM R ESR CCM Boos Δv v ESR v ESR Δv C 1 CISM v ESR R ESR i P i i R ESR i P 5 5 i P 1 Δi I L 1 DT i 1 D v ESR i P i R ESR Δv C i P i C v ip i i L i P v C v P C v V C i 5 驻 v1%/%v Fig %/mh CISM Relaion curve of oupu volage ripples and inducor in CISM v ESR v ESR v v P v ESR v 1 R C 6 6 R ESR CCM Boos IISM 5 6 R ESR CISM CCM Boos IISM Fig. 4 v V i L i P v C v P C v V C v ESR vesr v v P v V 1 3 (a)ccmcism 模式 v ESR i v Boos CISM IISM (b)ccmiism 模式 3 mv 41 mv 4 CCM Boos CCM Boos 7 Main waveforms of quadraic CCM Boos converer 7 CCM Boos CISM 6 驻 v%/%v Fig %/mh IISM Relaion curve of oupu volage ripples and inducor in IISM 4 Boos 1 V L 1 95 μh C 1 11 μf C 51 μf f 5 khz R 5 Ω v 5 V 39 μh 15 μh R ESR CCM

6 6 CCM Boos mv IISM 46 mv 7 CCM J. Boos CISM IISM 5 6 驻 v1(.v/div) i(.5a/div) i (.5A/div) 驻 v(.v/div) i(.5a/div) i (.5A/div) Fig i L (1 滋 s/div) 驻 v 1 (a)ccmcism 模式 i L (1 滋 s/div) 驻 v (b)ccmiism 模式 i i Oupu volage ripples CCM Boos S i L DC conversion raios J CISM IISM CISM IISM R ESR R ESR CCM Boos CISM IISM ZHAO GengshenWANG Qingzhang. Tracing and conrol of maximum power poin in a PV sysem J. Journal of Opoelecronics Laser J ZHU XuancaiXU DehongWU Pinge al. Design of energy managemen conrol in fuel cell power sysem J. Proceedings of he CSEE J ZHAO GengshenWANG QingzhangXU Shengzhi. Research on realizaion means and principle of maximum power poin racing J. Aca Energiae Solaris Sinica J XU LiangfeiLU LanguangLI Jianqiue al. Modeling and simulaion of a hybrid fuel cell sysem and energy managemen sraegy J. Chinese Journal of Mechanical Engineering KADRI RGAUBERT J PCHAMPENOIS Ge al. Performance analysis of ransformless single swich quadraic boos converer for grid conneced phoovolaic sysemsc/ /1 XIX Inernaional Conference on Elecrical Machines ICEM Sepember 6 8 1RomeIaly DE NOVAES Y RRUFER ABARBI I. CCM Boos CISM R ESR 1 J CCM Boos IISM R ESR M R ESR CCM Boos CISM IISM A new quadraic hreeleveldc /DC converer suiable for fuel cell applicaion C/ /Fourh Power Conversion ConferenceNAGOYAPCCNA GOYA 7Conference ProceedingsApril 57NagoyaJapan LEYVARAMOS JDIAZSALDIERNA L HORTIZLOPEZ M G. Swiching regulaor using a quadraic boos converer for wide. IET Power Elecronics9 5. M. 9LEYVARAMOS JORTIZLOPEZ M GDIAZSALDIERNA L H. The effec of ESR of he capaciors on modeling of a quadraic boos convererc/ /11h Workshop on Conrol and Modeling for Power Elecronics8COMPE8Augus 17 8ZurichSwizerland Boos LIU ShulinLIU JianYANG Yinline al. Energy ransmission modes and oupu ripple volage of boos converer J. Proceedings of he CSEE

pulse rain P PWM 3 Buck 4-12 PWM ΔE P H in = V in V in - D 2 2L H ΔE P L in = V in V in - D 2 2L L 2 2 Buck P L = V in V in - D 2 L

pulse rain P PWM 3 Buck 4-12 PWM ΔE P H in = V in V in - D 2 2L H ΔE P L in = V in V in - D 2 2L L 2 2 Buck P L = V in V in - D 2 L 14 5 2010 5 ELECI C MACHINES AND CONOL Vol. 14 No. 5 May 2010 DCM Buck 610031 DC-DC Buck DC-DC Buck M 461 A 1007-449X 2010 05-0001- 06 Oupu volage ripple of pulse rain conrolled DCM buck converer XU Jian-ping