Synchronous Rectified Soft-Switched Phase-Shift Full-Bridge Converter with Primary Energy Storage Inductor

Size: px
Start display at page:

Download "Synchronous Rectified Soft-Switched Phase-Shift Full-Bridge Converter with Primary Energy Storage Inductor"

Transcription

1 Synchrnu ecified Sf-Swiched Phae-Shif Full-Bridge Cnverer wih Primary Energy Srage Inducr Chen Zha, Xinke Wu, Wei Ya, Zhaming Qian (IEEE Senir Member Zhejiang Univeriy Ineril Crprain Jin Labrary Cllege f Elecrical Engineering, Zhejiang Univeriy Zheda ad 38#, Hangzhu China chanezha@zju.edu.cn Abrac-Thi paper preen a ynchrnu recified Sf-wiched Phae-Shif (PS Full-bridge (FB cnverer wih primary-ide energy rage inducr, which can be uilized in lw upu vlage and high upu curren applicain. Thi cnverer can be peraed in CCM, BCM and CM repecively baed n differen deign. Hwever, pimum deign cniderain indicae ha he BCM and CM perain mde are much mre uiable fr hi cnverer. Primary-ide energy rage inducr can help leading leg wiche achieve cndiin eaily. CM and BCM perain mde can make primary-ide lagging leg wiche and ecndary-ide ynchrnu recifier (S achieve ZCS cndiin. Slw di/d f riangular curren a ecndary-ide al lead lile revere recvery l f S bdy dide. The vlage re acr S can be clamped by upu vlage and he lw break-dwn vlage S are uilized reduce cnducin l. Finally, a high efficiency 300Wa 100 khz prype i buil up verify he hereical analyi and deign. I. INTUCTIN Full-bridge (FB c-c cnverer ha been inveigaed fr decade year. Cnveninal Phae-Shif (PS FB c-c cnverer ha everal apparen drawback uch a narrw range, eriu duy cycle l, large vlage pike acr he recifier, large circulaing l a primary-ide, and ec. Thu, in recen year, many auxiliary echnique have been prped and uilized vercme hee iue and mee he furher requiremen uch a high cnverin efficiency, high pwer deniy, elecrmagneic nie and perfrmance [1,,3,4]. [1] erie aurable inducr a ecndary-ide f PSFB cnverer widen he range and decreae he circulaing l a primary-ide. Bu he duy cycle l i ill eriu. Secndary-ide erie magamp cnrl i emplyed in [] bain nearly full lad range cndiin and rerain he vlage pike acr he recifier. Hwever, he neceary auxiliary cnrl circui bring in addiinal le and lead deign cmplexiy. [3] ue w clamp dide rerain vlage pike acr he recifier. Bu he addiinal primaryide erie inducr reul in mre eriu duy cycle l. Simple L-C newrk hwn in [4] can be ued achieve eaily. Bu here a rade-ff beween he range and cnducin l a primary ide. Mrever, duy-cycle l and Thi reearch wrk i uppred by ASTEC HK C.. vlage pike acr recifier ill exi. [5,6] hape he ecndary-ide curren be riangular wavefrm and clamp he revere vlage acr recifier upu by uing he energy rage inducr in erie a primary-ide and remving upu filer inducr. In hi way, he primary-ide f-wiching perain can be achieved eaily and he vlage pike acr recifier can be eliminaed. Furhermre, he prblem f duy-l can be alleviaed. [7,8] mve he energy rage inducr ecndary-ide and have imilar perain principle a prped in [5,6]. In rder fi fr lw upu vlage and high upu curren applicain, hi paper preen a ynchrnu recerified f-wiched PSFB cnverer wih primary-ide energy rage inducr. I can be peraed in CM, BCM (bundary cninue mde and CCM eparaely and primary-ide wiche can achieve he f-wiching cndiin imply. When i peraed in CM r BCM, he revere recvery curren in bdy dide f S can be reduced dramaically due lw di/d a ecndary-ide and he vlage pike acr S can be rerained by upu vlage clamping. Mrever, here n duy cycle l anymre when i peraed in hee w perain mde. Curren driven mehd prped in [9] can be uilized a ecndary-ide fr S reduce he cnducin l. The deailed perain principle f hee hree perain mde are illuraed in Secin II. Secin III analyze i eady-ae characeriic and he vlage ep acr S caued by he impac f ecndary-ide leakage inducr. Secin IV preen he imulain and experimenal reul f a 100 khz, 300Wa c-c cnverer verify he hereical analyi previuly. I high cnverin efficiency hw gd applying penial in lw upu vlage and high upu curren applicain. II. PINCIPLE F THEE IFFEENT PEATIN MES The baic plgy f hi ynchrnu recified fwiched PSFB cnverer wih primary-ide energy rage inducr i hwn in Fig.1. Q 1 ~Q 4 are he primary-ide main wiche paralleled wih c1 ~ c4 a heir bdy dide. C 1 ~C 4 are heir paraiic paralleled capacir. L i he equivalen erie inducr which cni f he added erie energy rage inducr L r and he primary-ide leakage inducr f ranfrmer L k_p. I mean ha hi cnverer can accmmdae he primary-ide leakage inducr f /08/$ IEEE 581

2 ranfrmer be a par f energy rage inducr. The L k_ i he ecndary-ide leakage inducr f ranfrmer. S 1 and S are he ynchrnu recifier a ecndary-ide paralleled wih r1 and r a heir bdy dide. C r1 and C r are heir paraiic paralleled capacir. Q4 Q 3 B c4 c3 C4 V AB C3 Q1 Q A c1 c C1 C Cr1 T r1 Lk_ S1 Lr Lk_ p Cr r Lk_ S Fig.1 he plgy f he preened PSFB cnverer uring hi perain principle analyi, all he cmpnen are upped be ideal. Leakage inducr f ranfrmer n maer a primary-ide r a ecndary-ide i negleced a all. And here n any frward vlage f dide and nreiance f MSFET. A. PEATE IN CM ME Generally, peraed in CM lead leading leg and lagging leg achieve and ZCS cndiin repecively wihu any her auxiliary circui. The revere recvery curren in S bdy dide can be reduced becaue f lw di/d a ecndary-ide. Thu, here lile revere recvery l. Addiinally, he vlage pike acr S can be rerained, which mean ha he lw break dwn vlage S can be uilized reduce he cnducin l. Hwever, cmpared wih BCM and CCM, CM uffer frm he large MS value f curren bh a primary and ecndary ide when he cnverer peraed wih ame inpu vlage and upu pwer. Fig. (a hw he ideal key wavefrm in CM. The perain prce cnain five differen ae during a half wiching perid. Sae1 ( 0 ~ 1 : uring hi acive ae, he primary-ide main wiche Q 1 and Q 3 are n. The ecndary-ide recifier S1 urn n a 0 and he pwer i ranferred frm inpu upu. V AB equal he inpu vlage V IN. The Vlage acr ranfrmer V Tran i clamped by upu vlage a nv. The vlage acr S V i clamped a V. The equivalen erie inducr L uffer frm (V IN - nv. The primary-ide curren increae wih he piive lpe and he ecndaryide curren increae wih n ime a expreed in (1. Thi mde end when Q 1 urn ff. dipri VL nv 1 diec = = = (1 d n d Where n i urn-rai f ranfrmer. Sae ( 1 ~ : Main wich Q 1 urn ff a 1, hen he paraiic paralleled capacir C 1 and C f he leading leg wiche are charged and dicharged by he primary-ide curren repecively. uring hi hr inerval, he primary-ide curren i pri can be upped a a curren urce I pri becaue f large energy red in L. T implify he analyi, C 1 and C are all upped equal C. Thu, he vlage acr he paraiic paralleled capacir C 1 and C can be expreed in ( and (3 repecively. When he vlage acr C reache zer, he bdy dide c urn n fr primaryide circulain. Then, leading leg wich Q can urn n wih C lad cndiin. bviuly, he dead ime T ead beween he driven ignal f Q 1 and Q fi fr (4 eaily. Thi inerval end when Q urn n. ( nv ( 1 0 VC1( = ( 1 ( LC ( nv ( 1 0 VC ( = ( 1 (3 LC L C Tead (4 ( nv ( 1 0 Sae3 ( ~ 3 : When Q urn n wih a, V AB equal zer. Becaue he primary-ide curren de n change direcin a hi ime, S1 cninuuly cnducin and V Tran i ill clamped a nv. Therefre, he equivalen erie inducr L uffer frm (-nv achieve vl-ecnd balance. The primary-ide curren i pri decreae wih he negaive lpe (-nv/l, which i expreed in (5. The ecndary-ide curren fall dwn wih he lpe n ime. Thi mde end when primary-ide curren i pri fall zer. ( nv ( 1 0 nv ipri ( = ( (5 Sae4 ( 3 ~ 4 : A 3, bh he primary-ide and he ecndaryide curren fall zer. Thu, bh f he lagging leg wich Q 3 and he ecndary-ide recifier S1 can urn ff wih ZCS cndiin. uring hi inerval, he ecndary-ide i eparaed frm he primary-ide. Thu, bh f V Tran and V fall zer and V fall be clamped a V. Thi inerval end when Q 3 urn ff. Sae5 ( 4 ~ 5 : Q 3 urn ff wih ZCS a 4. Befre 5, here n vlage balance curren neiher in C 3 r C 4 even Q 3 ha already urned ff. A 4, he lagging leg wich Q 4 urn n and bh f he charging curren fr C 3 and he dicharging curren fr C 4 flw hrugh i. I caue curren pike in Q 4 and reul in wiching l. Hwever, hi hard-wiching iue in he lagging leg can be remved by imply adding an auxiliary L-C f-wiching circui [4], which will be dicued in he fllwing ecin. Afer he end f mde 5, hi cnverer begin perae in anher half wiching perid. Afer he end f ae 5, he cnverer begin perae in anher half perid. There al are five perain ae which are ame a he five analyzed abve. B. PEATE IN BCM ME Fig. (b hw he ideal key wavefrm f BCM mde. Cmpared wih peraed in CM, he nly difference in BCM perain principle i he diappearance f ae 4, a paive inerval. Hence, peraed in BCM uffer frm lwer MS value f curren han ha peraed in CM when under he ame cndiin f inpu vlage and upu pwer. C. PEATE IN CCM ME Thi cnverer al can be peraed in CCM. In hi perain mde, he cnverer uffer frm he malle curren re amng hee hree perain mde. The cndiin bh fr leading leg and lagging leg wiche can be bained imply wihu any auxiliary circui. Hwever, CCM mde reul in high di/d which caue larger revere 58

3 recvery l in S bdy dide and vlage pike acr he S. Mrever, he narrw range f C gain can hardly mee he requiremen f wide inpu vlage range. Secin III will preen analyi in deail. The key wavefrm f CCM mde are hwn in Fig.4 (c. I al cnain five perain ae during a half wiching perid. Wherein, he previu w mde are ally ame a CM which i analyzed deailed abve. Here, nly he her hree differen mde are preened. Sae3 ( ~ 3 : Swich Q urn n a wih. V AB equal zer. Secndary-ide S 1 i ill n becaue primary-ide curren den change i flw direcin. uring hi paive inerval, he primary-ide erie inducr uffer revere direcin vlage V frm V Tran which equal nv. Primary-ide curren I pri decreae wih negaive lpe (-V Tran / L. Be differen CM menined abve, I pri den fall zer a he end f hi inerval 3. Thu, he lagging leg wiche can bain cndiin wihu any auxiliary circui. Vg Q 1 Q Q1 Q Q3 Q4 Q3 Vg Q1 Q Q1 Q Q3 Q4 Q3 Sae4 ( 3 ~ 4 : Swich Q 3 urn ff a 3. Then he paraiic paralleled capacir C 3 & C 4 are charged and dicharged by primary-ide curren. The required primary-ide curren fr lagging leg i given in (6. C Ipri ( 4 (6 VT in dead Sae5 ( 4 ~ 5 : Swich Q 4 will urn n a 4 wih a lng a (8 i valid. uring hi inerval, V AB equal (-V IN and S 1 mainain n. Thu, he vlage acr ranfrmer i ill clamped a nv and primary-ide erie inducr uffer frm [-(V IN nv] achieve vl-ecnd balance. Primary-ide curren decreae wih a harper negaive lpe [-(V IN nv/ L ]. I fall zer a he end f hi ae 5. Then, he cnverer begin perae in anher half perid which i he ame a befre. Vg Q1 Q Q1 Q Q 3 Q4 Q3 V AB = VAB VAB = VAB VAB = VAB Ipri Vran nv Ipri Vran nv Ipri Vran nv V1 V 1 V 1 V V V V 3 V V S = V V VS =V VS = V (a CM Mde (b BCM Mde (c CCM Mde Fig. he key wavefrm f hree differen perain mde III. ESIGN CNSIEATINS A. ANALYSIS F STEAY STATE Accrding he perain principle analyi in ecin II, i i neceary find u he relainhip beween hee hree differen perain mde f hi preened f-wiched PSFB cnverer fr pimum deign. Fr CM perain mde a hwn in Fig. (a, he C gain characeriic f hi cnverer can be derived frm he vl-ecnd balance n he energy rage inducr L and he principle f energy cnervain. I i equivalen he Buck in CM mde. Baed n (7, (8, i i eay bain he C gain in CM a hwn in (9. nv nv ( 1 0 = ( 3 1 (7 nv V ( 1 0( 3 0 = (8 TL n S V Tn 16L GainCM = = 1 1 (9 8L Tn S Wherein, T S i he whle wiching perid, i he duy cycle, ( 1 0 which can be defined a: =. TS Fr BCM perain mde a hwn in Fig. (b, he C gain can be bained eaily hru he vl-ecnd balance n L. I i hwn in (10. V Gain = BCM V = (10 IN n Fr CCM perain mde a hwn in Fig. (b, he C gain ill need be gained hru he vl-ecnd balance n L and he principle f energy cnervain. Baed n (11, he C gain i hwn in (1. 5 ipri ( d V 0 = (11 T n S 583

4 Gain V 16L 4L CCM = = (1 6 3 n T n n n T Wherein, i he duy cycle, which can be defined ( a: = TS Wih given pecificain, Fig.3 hw he C gain characeriic f hi preened f-wiched PSFB cnverer. Firly, he BCM perain mde nly ha ne pin wih large duy cycle in he C gain curve. I indicae ha hi cnverer can be alway peraed in BCM mde. Secndly, he range f C gain f CCM mde i very narrw. Thu, hi perain mde in uiable fr wide inpu vlage range applicain. Therefre, fr me applicain wih he requiremen f inpu vlage range, i i apprpriae make hi cnverer perae in CM and BCM. Gain G(_CM G(_BCM G(_CCM Fig.3 C gain characeriic f preened cnverer Wih a given inpu vlage range 350V~400V fr inance, baed n Fig.4, i i clearly ha when he cnverer i deigned be peraed in BCM wih he cndiin ha 400 and full-lad, he urn-rai need be decreaed bain enugh C gain mee he requiremen f inpu vlage range. Then he cnducin l and he cre l wuld be increaed. Thu, i i mre apprpriae make he cnverer peraed in BCM mde wih he cndiin ha 350 and full-lad. G ( =350V = 400V Curve 1 Curve 0. n decreaing Curve3 CCM BCM CM G ( 0.04 V IN=350V V IN =400V n decreaing Curve1 Curve Curve 3 Lack f C gain (a BCM wih 350V&full-lad (b BCM wih 400V&full-lad Fig.4 C gain characeriic fr w differen deign chice B. ANALYSIS F VLTAGE STESS ACSS SECNAY- SIE ECTIFIE Accrding he ideal hereical analyi in ecin II, he vlage acr ecndary-ide recifier i clamped a wice f upu vlage. Hwever, when he impac f ecndary-ide leakage inducr i aken in accun, he pracical vlage re acr recifier wuld be higher han wice f he upu vlage. CCM BCM C M Fr a cnveninal ecndary-ide full-wave recifier upu rucure f a PSFB cnverer, large upu filer inducr i puing in frn f upu filer capacir reduce he upu curren ripple. Hence, here lile curren ripple flwing hugh he ecndary-ide leakage inducr, which mean ha hey uffer frm lile vlage-ecnd during a wiching perid. Fr hi preened cnverer uilized capaciive upu filer, large curren ripple reul in a cniderable vlageecnd acr he ecndary-ide leakage inducr and a vlage ep acr he recifier. Fig.5 hw he equivalen circui f hi cnverer when cnidering he impac f he ecndary-ide leakage inducr. Fig.6 hw he hereical wavefrm f hi cae in CM, BCM and CCM repecively. V1~V15 hwn in Fig.6 are expreed in Table I. Thu, ecndary-ide recifier huld be carefully chen accrding Table I. ipri Vec VLk_1 Lk_ Lk_ iec1 Vrec Fig.5 Equivalen circui fr cnidering ecndary-ide leakage inducr IV. EXPEIMENTAL ESULTS In rder verify he hereical analyi and deign menined abve, a 300Wa (1V/5A, 100 khz prype i buil up. Table II hw he baic pecificain and able III li he uilized cmpnen. Wherein, imple L-C auxiliary circui, a prped in [4], i emplyed in hi prype help lagging leg achieve in BCM and CM mde. Table I Baic circui parameer f a ypical applicain V IN_min V IN_max V I _max T S f S 350V 400V 1V 5A 10 u 100 khz Table III Parameer f main cmpnen ued in prype Cmpnen Cmpnen 10uH; Q 1~Q 4 SPI0N60C3 L PQ00 550uH; S FI038AN06 L AUX PQ00 C u 1800uH4 Tranfrmer 48:; M1 Fig.7 hw he curren pike in lagging leg wich a urning n ime wihu L-C auxiliary circui a full lad wih 350V inpu. Apparenly, i caue wiching l in lagging leg wiche. By emplying L-C auxiliary circui, hi curren pike can be eliminaed and lagging leg wiche can achieve lad-independen cndiin. Fig.8 hw he cndiin bh f lagging leg and leading leg wiche a full lad wih 350V. Fig.9 hw he C 584

5 cndiin a ligh lad (5% full-ladbh f lagging leg and leading leg wiche wih 350V inpu. ue he impac f he ecndary-ide leakage inducr, here re vlage ep acr L and ranfrmer a hwn in Fig.10 a full lad wih 350V inpu. Fig.11 hw he vlage ep acr S and he riangular curren hrugh S a full lad wih 350V inpu. i_q4:a/iv Vd_Q4:100V/IV i_q4:a/iv cnverin efficiency. Fig.1 hw he l evaluain a full lad wih 350V inpu. Fig.13 hw he meaured efficiency curve a full lad wih differen inpu vlage. The meaured full lad efficiency wih 350 can achieve 95.9%, which i imilar evaluain reul. Fig.13 hw he meaured efficiency curve a full lad wih differen inpu vlage. Fig.14 hw he meaured efficiency curve a full lad wih differen inpu vlage. L 1 EVALUATIN F MAINLY PAT LSS Fig.7 Curren pike in lagging leg wich a full lad wih 350V inpu Vg:5V/IV Vd:100V/IV Vg:5V/IV Vd:100V/IV Leading leg Lagging leg Fig.8 cndiin bh f leading leg and lagging leg a full lad wih 350V inpu Vg:10V/IV Leading leg Vd:100V/IV Vg:10V/IV Lagging leg Vd:100V/IV Fig.9 cndiin bh f leading leg and lagging leg a 5%lad wih 350V inpu V:100V/IV dv=45v VTran:100V/IV dv=100v Fig.10 Vlage ep acr L and ranfrmer a full lad wih 350V inpu Vg_S:5V/IV dv=6v Vd_S:0V/IV Vd_S:0V/IV dv=6v is:0a/ iv is:0a/iv Fig.11 Vlage ep acr S and riangular curren hrugh S a full lad wih 350V inpu Baed n he deign cniderain analyzed in Secin III, hi preened cnverer hw gd perfrmance in 4 0 Pri-Swiche Energy Tranfrmer Sec-S upu Auxiliary Tal inducr Cu L - C Fig.1 L evaluain a full lad wih 350V inpu PSFB wih Primary- ide Energy rage inducr Eff (% P (Wa Fig.13 Meaured efficiency a differen lad wih 350V inpu Eff (% (V Fig.14 Meaured efficiency curve a full lad wih differen inpu vlage V. CNCLUSIN A ynchrnu recified f-wiched phae-hif fullbridge cnverer wih primary-ide energy rage inducr i preened in rder bain high cnverin efficiency fr lw upu vlage and high upu curren applicain. By emplying primary-ide energy rage inducr, hi cnverer can be peraed in hree differen mde uch a CM, BCM and CCM. Wherein, CM and BCM can help leading leg wiche achieve wide cndiin and help lagging leg wiche achieve ZCS cndiin. Lile vlage pike acr ecndary-ide recifier due lw di/d f riangular curren and he clamping effec f upu vlage. Therefre, lw break dwn vlage MSFET can be ued 585

6 imprve he cnverin efficiency. CCM can bain cndiin bh fr leading and lagging leg wiche, bu i ha maller C gain relaively and fa di/d a ecndary-ide reul in revere recvery l in recifier. Thi paper al preen deign cniderain fr hi cnverer uch a C gain characeriic and vlage re acr ecndary-ide recifier cnidering he impac f ecndary-ide leakage inducr. Finally, a 100 khz, 300Wa (1V/5A prype i buil up verified hereic analyi and evaluain. I high cnverin efficiency 95.9% a full lad wih 350V inpu hw i advanage and applying penial in lw upu vlage and high upu curren area. EFEENCES [1] B.-H.Kwn, J.-H.Kim, G.-Y. Jeng, Full-Bridge Sf Swiching PWM Cnverer wih Saurable Inducr a he Secndary Side, IEE Prc. Elecr. Pwer Appl.,1999,146(1:117-1 [] ber Wan, Fred C. Lee, Analyi, eign, and Experimenal eul f a 1-kW -FB-PWM Cnverer Emplying Magamp Secndary-ide Cnrl, IEEE Tran. n Indurial Elecrnic,1998,45(5:, [3] ichard edl, Nahan. Skal, Lazl Balgh, A nvel Sf-Swiching Full-Bridge C/C Cnverer: Analyi, eign Cniderain, and Experimenal reul a 1.5kW, 100kHz, IEEE Tran. n Pwer Elecrnic,1991,6(3: [4] Ming Xu, Thereic eearch f PWM Sf Swiching Technique, Ph. ierain Zhejiang Univeriy Hangzhu, 1997 [5] e ncker,.w.a.a., ivan..m., Kheraluwala, M.H, A hree-phae f-wiched high-pwer-deniy C/C cnverer fr high-pwer applicain, Indury Applicain, IEEE Tranacin n,vlume 7,Iue 1,Par 1,Jan.-Feb Page(: [6] Junming Zhang, Fan Zhang, Xiaga Xie, ezhi Jia, Zhaming Qian, A nvel C/C cnverer fr high pwer applicain, Pwer Elecrnic, IEEE Tranacin n, Vlume 19, Iue, March 004 Page(:40 49 [7] Jiaru, I.., A 3 kw f wiching C-C cnverer, Applied Pwer Elecrnic Cnference and Expiin, 000. APEC 000. Fifeenh Annual IEEEVlume 1, 6-10 Feb. 000 Page(:86-9 vl.1 [8] I..Jiaru, Sf wiching Cnverer, US Paen pending, 6,86,195 [9] Junming Zhang, Xiaga Xie, ezhi Jia, Zhaming Qian, A high efficiency adaper wih nvel curren driven ynchrnu recifier, IEEE Tran. n IEICE, Vl. E87-B, N.1, ecember 004 iec1 VLk_1 Vrec V1 V9 V V10 nv V3 iec1 VLk_1 Vrec V4 V11 V5 V1 T/ T/ T/ CM BCM CCM Fig.6 Key wavefrm wih impac f ecndary-ide leakage inducr in CM, BCM and CCM nv iec1 VLk_1 Vrec V6 V13 V7 V14 V8 V15 nv Table I Vlage acr ecndary-ide recifier in CM, BCM and CCM perain Mde V rec V pri CM BCM V 4nL I V V =V k_ 1 T 4nL I V k_ =V ( nv T V = V 3 4L I V4 =V T k_ 4nL I V V = n V k_ 9 T 4nL I V k_ 10 = n V ( nv T V 4Lk_I V11 = n V T 4Lk_I 4Lk_I V5 =V V1 = n V ( 1 T ( 1 T CCM 8 Lk_I ( nv 8 Lk_I ( nv V6 =V V13 = n V ( ( n V T ( ( n V T 8Lk_IVV IN 8Lk_IVV IN V7 =V V14 = n V ( ( n V T ( ( n V T 8 Lk_I ( nv 8 Lk_ I ( nv V8 =V V15 = n V ( ( n V T ( ( n V T 586

DC-DC Switch-Mode Converters

DC-DC Switch-Mode Converters - Swich-Mde nverers - cnverers are used : egulaed swich-mde pwer supplies, nrmally wih HF elecrical isla Mr drives, nrmally wihu an isla ransfrmer We will lk a he w basic dc-dc cnverer plgies: Sep-dwn

More information

The Buck Resonant Converter

The Buck Resonant Converter EE646 Pwer Elecrnics Chaper 6 ecure Dr. Sam Abdel-Rahman The Buck Resnan Cnverer Replacg he swich by he resnan-ype swich, ba a quasi-resnan PWM buck cnverer can be shwn ha here are fur mdes f pera under

More information

Revelation of Soft-Switching Operation for Isolated DC to Single-phase AC Converter with Power Decoupling

Revelation of Soft-Switching Operation for Isolated DC to Single-phase AC Converter with Power Decoupling Revelain f Sf-Swiching Operain fr Islaed DC Single-phase AC Cnverer wih wer Decupling Nagisa Takaka, Jun-ichi Ih Dep. f Elecrical Engineering Nagaka Universiy f Technlgy Nagaka, Niigaa, Japan nakaka@sn.nagakau.ac.jp,

More information

a. (1) Assume T = 20 ºC = 293 K. Apply Equation 2.22 to find the resistivity of the brass in the disk with

a. (1) Assume T = 20 ºC = 293 K. Apply Equation 2.22 to find the resistivity of the brass in the disk with Aignmen #5 EE7 / Fall 0 / Aignmen Sluin.7 hermal cnducin Cnider bra ally wih an X amic fracin f Zn. Since Zn addiin increae he number f cnducin elecrn, we have cale he final ally reiiviy calculaed frm

More information

(V 1. (T i. )- FrC p. ))= 0 = FrC p (T 1. (T 1s. )+ UA(T os. (T is

(V 1. (T i. )- FrC p. ))= 0 = FrC p (T 1. (T 1s. )+ UA(T os. (T is . Yu are repnible fr a reacr in which an exhermic liqui-phae reacin ccur. The fee mu be preheae he hrehl acivain emperaure f he caaly, bu he pruc ream mu be cle. T reuce uiliy c, yu are cniering inalling

More information

A Novel Passive Off-line Light-Emitting Diode (LED) Driver with Long Lifetime

A Novel Passive Off-line Light-Emitting Diode (LED) Driver with Long Lifetime A Nvel Paive Off-line Ligh-Emiing Dide () Driver wih Lng Life.Y.R. Hui, Fellw EEE,.N. Li, X.H. Ta, W. Chen, Member EEE and W.M. Ng, Member EEE Cener fr Pwer Elecrnic Ciy Univeriy f Hng Kng Hng Kng eernhui@ciyu.edu.hk

More information

PASSIVE PFC FOR FLYBACK CONVERTORS

PASSIVE PFC FOR FLYBACK CONVERTORS PASSIE PFC FOR FLYBACK COERORS Parviz Par and Keyue M Sedley Dep f Elecrical and Cpuer Engineering Universiy f Califrnia, Irvine Irvine, Califrnia 9697 Absrac A new passive Pwer Facr Crrecr (PFC) based

More information

AP Physics 1 MC Practice Kinematics 1D

AP Physics 1 MC Practice Kinematics 1D AP Physics 1 MC Pracice Kinemaics 1D Quesins 1 3 relae w bjecs ha sar a x = 0 a = 0 and mve in ne dimensin independenly f ne anher. Graphs, f he velciy f each bjec versus ime are shwn belw Objec A Objec

More information

Unit-I (Feedback amplifiers) Features of feedback amplifiers. Presentation by: S.Karthie, Lecturer/ECE SSN College of Engineering

Unit-I (Feedback amplifiers) Features of feedback amplifiers. Presentation by: S.Karthie, Lecturer/ECE SSN College of Engineering Uni-I Feedback ampliiers Feaures eedback ampliiers Presenain by: S.Karhie, Lecurer/ECE SSN Cllege Engineering OBJECTIVES T make he sudens undersand he eec negaive eedback n he llwing ampliier characerisics:

More information

Variation of Mean Hourly Insolation with Time at Jos

Variation of Mean Hourly Insolation with Time at Jos OR Jurnal f Envirnmenal cience, Txiclgy and Fd Technlgy (OR-JETFT) e-n: 319-40,p- N: 319-399.Vlume 9, ue 7 Ver. (July. 015), PP 01-05 www.irjurnal.rg Variain f Mean urly nlain wih Time a J 1 Ad Mua, Babangida

More information

Introduction. If there are no physical guides, the motion is said to be unconstrained. Example 2. - Airplane, rocket

Introduction. If there are no physical guides, the motion is said to be unconstrained. Example 2. - Airplane, rocket Kinemaic f Paricle Chaper Inrducin Kinemaic: i he branch f dynamic which decribe he min f bdie wihu reference he frce ha eiher caue he min r are generaed a a reul f he min. Kinemaic i fen referred a he

More information

ELEG 205 Fall Lecture #10. Mark Mirotznik, Ph.D. Professor The University of Delaware Tel: (302)

ELEG 205 Fall Lecture #10. Mark Mirotznik, Ph.D. Professor The University of Delaware Tel: (302) EEG 05 Fall 07 ecure #0 Mark Mirznik, Ph.D. Prfessr The Universiy f Delaware Tel: (3083-4 Email: mirzni@ece.udel.edu haper 7: apacirs and Inducrs The apacir Symbl Wha hey really lk like The apacir Wha

More information

The ZCS Boost Converter

The ZCS Boost Converter EEL646 Pwer Elernis II Chaper 6 Leure Dr. Sam Abdel-Rahman The ZCS Bs Cnverer The bs-quasi-resnan nverer wih an M-ype swih as shwn Fig. 6.(a, wih is equivalen irui shwn Fig. 6.(b. (a (b Fig 6. (a ZCS bs

More information

u(t) Figure 1. Open loop control system

u(t) Figure 1. Open loop control system Open loop conrol v cloed loop feedbac conrol The nex wo figure preen he rucure of open loop and feedbac conrol yem Figure how an open loop conrol yem whoe funcion i o caue he oupu y o follow he reference

More information

Design of Charge Pump Power Factor Correction Circuit for 150W PT Power Converter

Design of Charge Pump Power Factor Correction Circuit for 150W PT Power Converter Dein of Chare Pump Power Facor Correcion Circui for 5W PT Power Converer Rui han, Weip han, Yuanchao Liu Lab of Green Power & Enery Syem, Norh Cha Univeriy of Technoloy Beij, Cha, 44 Abrac-A chare pump

More information

Lecture 13 - Boost DC-DC Converters. Step-Up or Boost converters deliver DC power from a lower voltage DC level (V d ) to a higher load voltage V o.

Lecture 13 - Boost DC-DC Converters. Step-Up or Boost converters deliver DC power from a lower voltage DC level (V d ) to a higher load voltage V o. ecture 13 - Bt C-C Cnverter Pwer Electrnic Step-Up r Bt cnverter eliver C pwer frm a lwer vltage C level ( ) t a higher la vltage. i i i + v i c T C (a) + R (a) v 0 0 i 0 R1 t n t ff + t T i n T t ff =

More information

Chapter 3. DC to DC CONVERTER (CHOPPER)

Chapter 3. DC to DC CONVERTER (CHOPPER) Chaper 3 C C COEE General Buck cnverer Bs cnverer (CHOPPE Buck-Bs cnverer Swiche-e pwer supply Brige cnverer es n elecragneic cpaibiliy (EMC an sluins. Pwer Elecrnics an rives (ersin : r. C-C Cnverer (Chpper

More information

EE202 Circuit Theory II

EE202 Circuit Theory II EE202 Circui Theory II 2017-2018, Spring Dr. Yılmaz KALKAN I. Inroducion & eview of Fir Order Circui (Chaper 7 of Nilon - 3 Hr. Inroducion, C and L Circui, Naural and Sep epone of Serie and Parallel L/C

More information

The Components of Vector B. The Components of Vector B. Vector Components. Component Method of Vector Addition. Vector Components

The Components of Vector B. The Components of Vector B. Vector Components. Component Method of Vector Addition. Vector Components Upcming eens in PY05 Due ASAP: PY05 prees n WebCT. Submiing i ges yu pin ward yur 5-pin Lecure grade. Please ake i seriusly, bu wha cuns is wheher r n yu submi i, n wheher yu ge hings righ r wrng. Due

More information

High-Gain Resonant Switched-Capacitor Cell-Based DC/DC Converter for Offshore Wind Energy Systems

High-Gain Resonant Switched-Capacitor Cell-Based DC/DC Converter for Offshore Wind Energy Systems This aricle has been acceped fr publicain in a fuure issue f his jurnal, bu has n been fully edied. Cnen may change prir final publicain. Ciain infrmain: DOI 1.119/TEL.14.31411, IEEE Transacins n wer Elecrnics

More information

Name Student ID. A student uses a voltmeter to measure the electric potential difference across the three boxes.

Name Student ID. A student uses a voltmeter to measure the electric potential difference across the three boxes. Name Student ID II. [25 pt] Thi quetin cnit f tw unrelated part. Part 1. In the circuit belw, bulb 1-5 are identical, and the batterie are identical and ideal. Bxe,, and cntain unknwn arrangement f linear

More information

To become more mathematically correct, Circuit equations are Algebraic Differential equations. from KVL, KCL from the constitutive relationship

To become more mathematically correct, Circuit equations are Algebraic Differential equations. from KVL, KCL from the constitutive relationship Laplace Tranform (Lin & DeCarlo: Ch 3) ENSC30 Elecric Circui II The Laplace ranform i an inegral ranformaion. I ranform: f ( ) F( ) ime variable complex variable From Euler > Lagrange > Laplace. Hence,

More information

Physics 111. Exam #1. September 28, 2018

Physics 111. Exam #1. September 28, 2018 Physics xam # Sepember 8, 08 ame Please read and fllw hese insrucins carefully: Read all prblems carefully befre aemping slve hem. Yur wrk mus be legible, and he rganizain clear. Yu mus shw all wrk, including

More information

6.8 Laplace Transform: General Formulas

6.8 Laplace Transform: General Formulas 48 HAP. 6 Laplace Tranform 6.8 Laplace Tranform: General Formula Formula Name, ommen Sec. F() l{ f ()} e f () d f () l {F()} Definiion of Tranform Invere Tranform 6. l{af () bg()} al{f ()} bl{g()} Lineariy

More information

PT380 MULTICHANNEL TIMER SPECIFICATIONS FEATURES PRODUCT CODE MODES OF OPERATION FUNCTIONS TERMINAL CONNECTION

PT380 MULTICHANNEL TIMER SPECIFICATIONS FEATURES PRODUCT CODE MODES OF OPERATION FUNCTIONS TERMINAL CONNECTION PT380 MULTICHANNEL TIMER 96 X 96 Mulichannel: 8 channels Channel perain mde: Parallel r Sequenial Muli range: 99.99 sec 999.9 hr Mdes : N Delay / Inerval / Cyclic N firs / Cyclic FF firs Sar up delay &

More information

Single Phase Line Frequency Uncontrolled Rectifiers

Single Phase Line Frequency Uncontrolled Rectifiers Single Phae Line Frequency Unconrolle Recifier Kevin Gaughan 24-Nov-03 Single Phae Unconrolle Recifier 1 Topic Baic operaion an Waveform (nucive Loa) Power Facor Calculaion Supply curren Harmonic an Th

More information

Microwave Engineering

Microwave Engineering Micrwave Engineering Cheng-Hsing Hsu Deparmen f Elecrical Engineering Nainal Unied Universiy Ouline. Transmissin ine Thery. Transmissin ines and Waveguides eneral Sluins fr TEM, TE, and TM waves ; Parallel

More information

Performance Evaluation and Control Technique of Large Ratio DC-DC Converter

Performance Evaluation and Control Technique of Large Ratio DC-DC Converter Internatinal Jurnal n Electrical Engineering and Infrmatic - Vlume, umber, 9 Perfrmance Evaluatin and Cntrl echnique f arge Rati DC-DC Cnverter Agu Purwadi, Ku Adi Nugrh, Firman Sangk, Kadek Fendy Sutrina

More information

Switching Characteristics of Power Devices

Switching Characteristics of Power Devices Swiching Characeriic of Power Device Device uilizaion can be grealy improved by underanding he device wiching charcaeriic. he main performance wiching characeriic of power device: he ave operaing area

More information

Passive Energy Recovery Snubber Based DC-DC Boost Converter

Passive Energy Recovery Snubber Based DC-DC Boost Converter Paive Energy Recvery Snubber Baed - Bt nverter P. Radika Prfer, epartment f EEE,Adhiparaakthi Engineering llege, Melmaruvathur, India E-mail:radikaenthil@gmail.cm Abtract A dc-dc bt cnverter capable f

More information

CHAPTER 7: SECOND-ORDER CIRCUITS

CHAPTER 7: SECOND-ORDER CIRCUITS EEE5: CI RCUI T THEORY CHAPTER 7: SECOND-ORDER CIRCUITS 7. Inroducion Thi chaper conider circui wih wo orage elemen. Known a econd-order circui becaue heir repone are decribed by differenial equaion ha

More information

A New Interleaved Double-Input Three-Level Boost Converter

A New Interleaved Double-Input Three-Level Boost Converter Jurnal f Pwer Elecrnics, Vl.??, N.?, pp.?-?, Mnh Year A New Inerleave Duble-Inpu Three-Level Bs Cnverer Jianfei Chen, Shiying Hu, Ta Sun, Fujin Deng *, an Zhe Chen * Schl f Elecrical Engineering, Chngqing

More information

21.9 Magnetic Materials

21.9 Magnetic Materials 21.9 Magneic Maerials The inrinsic spin and rbial min f elecrns gives rise he magneic prperies f maerials è elecrn spin and rbis ac as iny curren lps. In ferrmagneic maerials grups f 10 16-10 19 neighbring

More information

5.1 Angles and Their Measure

5.1 Angles and Their Measure 5. Angles and Their Measure Secin 5. Nes Page This secin will cver hw angles are drawn and als arc lengh and rains. We will use (hea) represen an angle s measuremen. In he figure belw i describes hw yu

More information

Brace-Gatarek-Musiela model

Brace-Gatarek-Musiela model Chaper 34 Brace-Gaarek-Musiela mdel 34. Review f HJM under risk-neural IP where f ( T Frward rae a ime fr brrwing a ime T df ( T ( T ( T d + ( T dw ( ( T The ineres rae is r( f (. The bnd prices saisfy

More information

Analysis and design of a high-efficiency zero-voltage-switching step-up DC DC converter

Analysis and design of a high-efficiency zero-voltage-switching step-up DC DC converter Sādhanā Vol. 38, Par 4, Augus 2013, pp. 653 665. c Indian Academy of Sciences Analysis and design of a high-efficiency zero-volage-swiching sep-up DC DC converer JAE-WON YANG and HYUN-LARK DO Deparmen

More information

An application of nonlinear optimization method to. sensitivity analysis of numerical model *

An application of nonlinear optimization method to. sensitivity analysis of numerical model * An applicain f nnlinear pimizain mehd sensiiviy analysis f numerical mdel XU Hui 1, MU Mu 1 and LUO Dehai 2 (1. LASG, Insiue f Amspheric Physics, Chinese Academy f Sciences, Beijing 129, China; 2. Deparmen

More information

13.1 Circuit Elements in the s Domain Circuit Analysis in the s Domain The Transfer Function and Natural Response 13.

13.1 Circuit Elements in the s Domain Circuit Analysis in the s Domain The Transfer Function and Natural Response 13. Chaper 3 The Laplace Tranform in Circui Analyi 3. Circui Elemen in he Domain 3.-3 Circui Analyi in he Domain 3.4-5 The Tranfer Funcion and Naural Repone 3.6 The Tranfer Funcion and he Convoluion Inegral

More information

R.#W.#Erickson# Department#of#Electrical,#Computer,#and#Energy#Engineering# University#of#Colorado,#Boulder#

R.#W.#Erickson# Department#of#Electrical,#Computer,#and#Energy#Engineering# University#of#Colorado,#Boulder# .#W.#Erickson# Deparmen#of#Elecrical,#Compuer,#and#Energy#Engineering# Universiy#of#Colorado,#Boulder# Chaper 2 Principles of Seady-Sae Converer Analysis 2.1. Inroducion 2.2. Inducor vol-second balance,

More information

Chem. 6C Midterm 1 Version B October 19, 2007

Chem. 6C Midterm 1 Version B October 19, 2007 hem. 6 Miderm Verin Ocber 9, 007 Name Suden Number ll wr mu be hwn n he exam fr parial credi. Pin will be aen ff fr incrrec r n uni. Nn graphing calcular and ne hand wrien 5 ne card are allwed. Prblem

More information

10.7 Temperature-dependent Viscoelastic Materials

10.7 Temperature-dependent Viscoelastic Materials Secin.7.7 Temperaure-dependen Viscelasic Maerials Many maerials, fr example plymeric maerials, have a respnse which is srngly emperaure-dependen. Temperaure effecs can be incrpraed in he hery discussed

More information

3 ) = 10(1-3t)e -3t A

3 ) = 10(1-3t)e -3t A haper 6, Sluin. d i ( e 6 e ) 0( - )e - A p i 0(-)e - e - 0( - )e -6 W haper 6, Sluin. w w (40)(80 (40)(0) ) ( ) w w w 0 0 80 60 kw haper 6, Sluin. i d 80 60 40x0 480 ma haper 6, Sluin 4. i (0) 6sin 4-0.7

More information

EECE 301 Signals & Systems Prof. Mark Fowler

EECE 301 Signals & Systems Prof. Mark Fowler EECE 31 Signal & Syem Prof. Mark Fowler Noe Se #27 C-T Syem: Laplace Tranform Power Tool for yem analyi Reading Aignmen: Secion 6.1 6.3 of Kamen and Heck 1/18 Coure Flow Diagram The arrow here how concepual

More information

CHAPTER 2 Describing Motion: Kinematics in One Dimension

CHAPTER 2 Describing Motion: Kinematics in One Dimension CHAPTER Decribing Min: Kinemaic in One Dimenin hp://www.phyicclarm.cm/cla/dkin/dkintoc.hml Reference Frame and Diplacemen Average Velciy Inananeu Velciy Accelerain Min a Cnan Accelerain Slving Prblem Falling

More information

1. Transformer A transformer is used to obtain the approximate output voltage of the power supply. The output of the transformer is still AC.

1. Transformer A transformer is used to obtain the approximate output voltage of the power supply. The output of the transformer is still AC. PHYSIS 536 Experiment 4: D Pwer Supply I. Intrductin The prcess f changing A t D is investigated in this experiment. An integrated circuit regulatr makes it easy t cnstruct a high-perfrmance vltage surce

More information

GAMS Handout 2. Utah State University. Ethan Yang

GAMS Handout 2. Utah State University. Ethan Yang Uah ae Universiy DigialCmmns@UU All ECAIC Maerials ECAIC Repsiry 2017 GAM Handu 2 Ehan Yang yey217@lehigh.edu Fllw his and addiinal wrs a: hps://digialcmmns.usu.edu/ecsaic_all Par f he Civil Engineering

More information

Chapter 7: Inverse-Response Systems

Chapter 7: Inverse-Response Systems Chaper 7: Invere-Repone Syem Normal Syem Invere-Repone Syem Baic Sar ou in he wrong direcion End up in he original eady-ae gain value Two or more yem wih differen magniude and cale in parallel Main yem

More information

Introduction to Congestion Games

Introduction to Congestion Games Algorihmic Game Theory, Summer 2017 Inroducion o Congeion Game Lecure 1 (5 page) Inrucor: Thoma Keelheim In hi lecure, we ge o know congeion game, which will be our running example for many concep in game

More information

Productivity changes of units: A directional measure of cost Malmquist index

Productivity changes of units: A directional measure of cost Malmquist index Available nline a hp://jnrm.srbiau.ac.ir Vl.1, N.2, Summer 2015 Jurnal f New Researches in Mahemaics Science and Research Branch (IAU Prduciviy changes f unis: A direcinal measure f cs Malmquis index G.

More information

Coupled Dual Interleaved Flyback Converter for High Input Voltage Application

Coupled Dual Interleaved Flyback Converter for High Input Voltage Application Culed Dual Interleaved Flyback Cnverter fr High Inut ltage Alicat Tg Qian, Brad Lehman rtheatern Univerity Det. Electrical & Cmuter Engeerg Btn, MA, 5, USA Abtract - Thi aer re an tegrated magnetic DC-DC

More information

The Residual Graph. 12 Augmenting Path Algorithms. Augmenting Path Algorithm. Augmenting Path Algorithm

The Residual Graph. 12 Augmenting Path Algorithms. Augmenting Path Algorithm. Augmenting Path Algorithm Augmening Pah Algorihm Greedy-algorihm: ar wih f (e) = everywhere find an - pah wih f (e) < c(e) on every edge augmen flow along he pah repea a long a poible The Reidual Graph From he graph G = (V, E,

More information

Design of Controller for Robot Position Control

Design of Controller for Robot Position Control eign of Conroller for Robo oiion Conrol Two imporan goal of conrol: 1. Reference inpu racking: The oupu mu follow he reference inpu rajecory a quickly a poible. Se-poin racking: Tracking when he reference

More information

PHY305F Electronics Laboratory I. Section 2. AC Circuit Basics: Passive and Linear Components and Circuits. Basic Concepts

PHY305F Electronics Laboratory I. Section 2. AC Circuit Basics: Passive and Linear Components and Circuits. Basic Concepts PHY305F Elecrnics abrary I Secin ircui Basics: Passie and inear mpnens and ircuis Basic nceps lernaing curren () circui analysis deals wih (sinusidally) ime-arying curren and lage signals whse ime aerage

More information

Subject: Turbojet engines (continued); Design parameters; Effect of mass flow on thrust.

Subject: Turbojet engines (continued); Design parameters; Effect of mass flow on thrust. 16.50 Leure 19 Subje: Turbje engines (ninued; Design parameers; Effe f mass flw n hrus. In his haper we examine he quesin f hw hse he key parameers f he engine bain sme speified perfrmane a he design ndiins,

More information

INVESTIGATING THE EFFECT OF FRP CONFIGURATION ON THE ULTIMATE TORSIONAL CAPACITY OF FRP STRENGHTNED REINFORCED CONCRETE BEAMS

INVESTIGATING THE EFFECT OF FRP CONFIGURATION ON THE ULTIMATE TORSIONAL CAPACITY OF FRP STRENGHTNED REINFORCED CONCRETE BEAMS INVESTIGTING THE EFFECT OF FRP CONFIGURTION ON THE ULTIMTE TORSIONL CPCITY OF FRP STRENGHTNED REINFORCED CONCRETE BEMS M. meli 1 * and H.R. Rnagh 2 1 Cenre r Buil Inrarucure Reearch, Faculy Engineering,

More information

Three-Level Converters A New Approach for High Voltage and High Power DC-DC Conversions. Presented by Xinbo Ruan

Three-Level Converters A New Approach for High Voltage and High Power DC-DC Conversions. Presented by Xinbo Ruan ThreeLevel Converers New pproach for High Volage and High Power DCDC Conversions Presened by Xinbo Ruan College of Elecrical and Elecronic Engineering Huazhong Universiy of Science and Technology 20121210

More information

EE C245 - ME C218 Introduction to MEMS Design Fall Today s Lecture

EE C245 - ME C218 Introduction to MEMS Design Fall Today s Lecture EE 45 - ME 8 Inrducin MEMS Dein Fall 003 Rer Hwe and Thara Sriniaan Lecure apaciie Piin Senin Tday Lecure The capacir a a piin enr apaciie enin cnfiurain: diider wih unbalanced, balanced drie Pracical

More information

The Residual Graph. 11 Augmenting Path Algorithms. Augmenting Path Algorithm. Augmenting Path Algorithm

The Residual Graph. 11 Augmenting Path Algorithms. Augmenting Path Algorithm. Augmenting Path Algorithm Augmening Pah Algorihm Greedy-algorihm: ar wih f (e) = everywhere find an - pah wih f (e) < c(e) on every edge augmen flow along he pah repea a long a poible The Reidual Graph From he graph G = (V, E,

More information

ANALYSIS OF SOME SAFETY ASSESSMENT STANDARD ON GROUNDING SYSTEMS

ANALYSIS OF SOME SAFETY ASSESSMENT STANDARD ON GROUNDING SYSTEMS ANAYSIS OF SOME SAFETY ASSESSMENT STANDARD ON GROUNDING SYSTEMS Shang iqun, Zhang Yan, Cheng Gang School of Elecrical and Conrol Engineering, Xi an Univeriy of Science & Technology, 710054, Xi an, China,

More information

Chapter 2: Principles of steady-state converter analysis

Chapter 2: Principles of steady-state converter analysis Chaper 2 Principles of Seady-Sae Converer Analysis 2.1. Inroducion 2.2. Inducor vol-second balance, capacior charge balance, and he small ripple approximaion 2.3. Boos converer example 2.4. Cuk converer

More information

Physics Courseware Physics I Constant Acceleration

Physics Courseware Physics I Constant Acceleration Physics Curseware Physics I Cnsan Accelerain Equains fr cnsan accelerain in dimensin x + a + a + ax + x Prblem.- In he 00-m race an ahlee acceleraes unifrmly frm res his p speed f 0m/s in he firs x5m as

More information

Dead-time Induced Oscillations in Inverter-fed Induction Motor Drives

Dead-time Induced Oscillations in Inverter-fed Induction Motor Drives Dead-ime Induced Oscillaions in Inverer-fed Inducion Moor Drives Anirudh Guha Advisor: Prof G. Narayanan Power Elecronics Group Dep of Elecrical Engineering, Indian Insiue of Science, Bangalore, India

More information

Chapter 9 Compressible Flow 667

Chapter 9 Compressible Flow 667 Chapter 9 Cmpreible Flw 667 9.57 Air flw frm a tank thrugh a nzzle int the tandard atmphere, a in Fig. P9.57. A nrmal hck tand in the exit f the nzzle, a hwn. Etimate (a) the tank preure; and (b) the ma

More information

2.4 Cuk converter example

2.4 Cuk converter example 2.4 Cuk converer example C 1 Cuk converer, wih ideal swich i 1 i v 1 2 1 2 C 2 v 2 Cuk converer: pracical realizaion using MOSFET and diode C 1 i 1 i v 1 2 Q 1 D 1 C 2 v 2 28 Analysis sraegy This converer

More information

A Novel Isolated Buck-Boost Converter

A Novel Isolated Buck-Boost Converter vel slated uck-st Cnverter S-Sek Kim *,WOO-J JG,JOOG-HO SOG, Ok-K Kang, and Hee-Jn Kim ept. f Electrical Eng., Seul atinal University f Technlgy, Krea Schl f Electrical and Cmputer Eng., Hanyang University,

More information

A STUDY ON COMPLICATED ROLL MOTION OF A SHIP EQUIPPED WITH AN ANTI-ROLLING TANK

A STUDY ON COMPLICATED ROLL MOTION OF A SHIP EQUIPPED WITH AN ANTI-ROLLING TANK 607 A STUDY ON COMPLICATED ROLL MOTION OF A SHIP EQUIPPED WITH AN ANTI-ROLLING TANK Harukuni Taguchi, Hirohi Sawada and Kauji Tanizawa Naional Mariime Reearch Iniue (JAPAN) Abrac Nonlinear roll moion of

More information

INFLUENCE OF WIND VELOCITY TO SUPPLY WATER TEMPERATURE IN HOUSE HEATING INSTALLATION AND HOT-WATER DISTRICT HEATING SYSTEM

INFLUENCE OF WIND VELOCITY TO SUPPLY WATER TEMPERATURE IN HOUSE HEATING INSTALLATION AND HOT-WATER DISTRICT HEATING SYSTEM Dr. Branislav Zivkvic, B. Eng. Faculy f Mechanical Engineering, Belgrade Universiy Predrag Zeknja, B. Eng. Belgrade Municipal DH Cmpany Angelina Kacar, B. Eng. Faculy f Agriculure, Belgrade Universiy INFLUENCE

More information

Stat13 Homework 7. Suggested Solutions

Stat13 Homework 7. Suggested Solutions Sa3 Homework 7 hp://www.a.ucla.edu/~dinov/coure_uden.hml Suggeed Soluion Queion 7.50 Le denoe infeced and denoe noninfeced. H 0 : Malaria doe no affec red cell coun (µ µ ) H A : Malaria reduce red cell

More information

Graphs III - Network Flow

Graphs III - Network Flow Graph III - Nework Flow Flow nework eup graph G=(V,E) edge capaciy w(u,v) 0 - if edge doe no exi, hen w(u,v)=0 pecial verice: ource verex ; ink verex - no edge ino and no edge ou of Aume every verex v

More information

RAMIFICATIONS of POSITION SERVO LOOP COMPENSATION

RAMIFICATIONS of POSITION SERVO LOOP COMPENSATION RAMIFICATIONS f POSITION SERO LOOP COMPENSATION Gerge W. Yunk, P.E. Lfe Fellw IEEE Indural Cnrl Cnulg, Inc. Fnd du Lac, Wcn Fr many year dural pg er dre dd n ue er cmpena he frward p lp. Th wa referred

More information

Kinematics Review Outline

Kinematics Review Outline Kinemaics Review Ouline 1.1.0 Vecrs and Scalars 1.1 One Dimensinal Kinemaics Vecrs have magniude and direcin lacemen; velciy; accelerain sign indicaes direcin + is nrh; eas; up; he righ - is suh; wes;

More information

ZVS Boost Converter. (a) (b) Fig 6.29 (a) Quasi-resonant boost converter with M-type switch. (b) Equivalent circuit.

ZVS Boost Converter. (a) (b) Fig 6.29 (a) Quasi-resonant boost converter with M-type switch. (b) Equivalent circuit. EEL6246 Pwer Electrnics II Chapter 6 Lecture 6 Dr. Sam Abdel-Rahman ZVS Bst Cnverter The quasi-resnant bst cnverter by using the M-type switch as shwn in Fig. 6.29(a) with its simplified circuit shwn in

More information

8.1. a) For step response, M input is u ( t) Taking inverse Laplace transform. as α 0. Ideal response, K c. = Kc Mτ D + For ramp response, 8-1

8.1. a) For step response, M input is u ( t) Taking inverse Laplace transform. as α 0. Ideal response, K c. = Kc Mτ D + For ramp response, 8-1 8. a For ep repone, inpu i u, U Y a U α α Y a α α Taking invere Laplae ranform a α e e / α / α A α 0 a δ 0 e / α a δ deal repone, α d Y i Gi U i δ Hene a α 0 a i For ramp repone, inpu i u, U Soluion anual

More information

Buckling of a structure means failure due to excessive displacements (loss of structural stiffness), and/or

Buckling of a structure means failure due to excessive displacements (loss of structural stiffness), and/or Buckling Buckling of a rucure mean failure due o exceive diplacemen (lo of rucural iffne), and/or lo of abiliy of an equilibrium configuraion of he rucure The rule of humb i ha buckling i conidered a mode

More information

Introduction to AC Power, RMS RMS. ECE 2210 AC Power p1. Use RMS in power calculations. AC Power P =? DC Power P =. V I = R =. I 2 R. V p.

Introduction to AC Power, RMS RMS. ECE 2210 AC Power p1. Use RMS in power calculations. AC Power P =? DC Power P =. V I = R =. I 2 R. V p. ECE MS I DC Power P I = Inroducion o AC Power, MS I AC Power P =? A Solp //9, // // correced p4 '4 v( ) = p cos( ω ) v( ) p( ) Couldn' we define an "effecive" volage ha would allow us o use he same relaionships

More information

Exclusive Technology Feature. Eliminate The Guesswork When Selecting Primary Switch V DD Capacitors. ISSUE: May 2011

Exclusive Technology Feature. Eliminate The Guesswork When Selecting Primary Switch V DD Capacitors. ISSUE: May 2011 Excluive Technlgy Feature Eliminate The Guewrk When Selecting Primary Switch DD aacitr by Ed Wenzel, STMicrelectrnic, Schaumburg, ll. SSUE: May 2011 A rimary witch, ued fr ff-line alicatin, ften cntain

More information

A novel phase-shift full-bridge converter with voltage-doubler and decoupling integrated magnetics in PV system

A novel phase-shift full-bridge converter with voltage-doubler and decoupling integrated magnetics in PV system BULLETIN OF THE POLISH ACADEMY OF SCIENCES TECHNICAL SCIENCES Vol. 56 No. 3 2008 A novel phase-shif full-bridge converer wih volage-doubler and decoupling inegraed magneics in PV sysem Y. JIANG Z. CHEN

More information

DISTANCE PROTECTION OF HVDC TRANSMISSION LINE WITH NOVEL FAULT LOCATION TECHNIQUE

DISTANCE PROTECTION OF HVDC TRANSMISSION LINE WITH NOVEL FAULT LOCATION TECHNIQUE IJRET: Inernainal Jurnal f Research in Engineering and Technlgy eissn: 9-6 pissn: -78 DISTANCE PROTECTION OF HVDC TRANSMISSION LINE WITH NOVEL FAULT LOCATION TECHNIQUE Ruchia Nale, P. Suresh Babu Suden,

More information

( ) For more files visit

( ) For more files visit SETION A (75 marks). This quesin cnsiss f TWENTYFIVE subquesins (..5) f ONE mark each. Fr each f hese subquesins, fur pssible alernaives (A,B, and D) are given, u f which ONLY ONE is crrec. Indicae he

More information

Machine Learning for Signal Processing Prediction and Estimation, Part II

Machine Learning for Signal Processing Prediction and Estimation, Part II Machine Learning fr Signal Prceing Predicin and Eimain, Par II Bhikha Raj Cla 24. 2 Nv 203 2 Nv 203-755/8797 Adminirivia HW cre u Sme uden wh g really pr mark given chance upgrade Make i all he way he

More information

Motion Along a Straight Line

Motion Along a Straight Line PH 1-3A Fall 010 Min Alng a Sraigh Line Lecure Chaper (Halliday/Resnick/Walker, Fundamenals f Physics 8 h ediin) Min alng a sraigh line Sudies he min f bdies Deals wih frce as he cause f changes in min

More information

1 Motivation and Basic Definitions

1 Motivation and Basic Definitions CSCE : Deign and Analyi of Algorihm Noe on Max Flow Fall 20 (Baed on he preenaion in Chaper 26 of Inroducion o Algorihm, 3rd Ed. by Cormen, Leieron, Rive and Sein.) Moivaion and Baic Definiion Conider

More information

Università degli Studi di Roma Tor Vergata Dipartimento di Ingegneria Elettronica. Analogue Electronics. Paolo Colantonio A.A.

Università degli Studi di Roma Tor Vergata Dipartimento di Ingegneria Elettronica. Analogue Electronics. Paolo Colantonio A.A. Universià degli Sudi di Roma Tor Vergaa Diparimeno di Ingegneria Eleronica Analogue Elecronics Paolo Colanonio A.A. 2015-16 Diode circui analysis The non linearbehaviorofdiodesmakesanalysisdifficul consider

More information

MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Civil and Environmental Engineering

MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Civil and Environmental Engineering MASSACHUSETTS INSTITUTE OF TECHNOLOGY Deparmen of Civil and Environmenal Engineering 1.731 Waer Reource Syem Lecure 17 River Bain Planning Screening Model Nov. 7 2006 River Bain Planning River bain planning

More information

Small Combustion Chamber. Combustion chamber area ratio

Small Combustion Chamber. Combustion chamber area ratio Lsses & Real Effecs in Nzzles Flw divergence Nnunifrmiy p lss due hea addiin Viscus effecs bundary layers-drag bundary layer-shck ineracins Hea lsses Nzzle ersin (hra) Transiens Muliphase flw Real gas

More information

Problem Set If all directed edges in a network have distinct capacities, then there is a unique maximum flow.

Problem Set If all directed edges in a network have distinct capacities, then there is a unique maximum flow. CSE 202: Deign and Analyi of Algorihm Winer 2013 Problem Se 3 Inrucor: Kamalika Chaudhuri Due on: Tue. Feb 26, 2013 Inrucion For your proof, you may ue any lower bound, algorihm or daa rucure from he ex

More information

Coherent PSK. The functional model of passband data transmission system is. Signal transmission encoder. x Signal. decoder.

Coherent PSK. The functional model of passband data transmission system is. Signal transmission encoder. x Signal. decoder. Cheren PSK he funcinal mdel f passand daa ransmissin sysem is m i Signal ransmissin encder si s i Signal Mdular Channel Deecr ransmissin decder mˆ Carrier signal m i is a sequence f syml emied frm a message

More information

Study of simple inductive-capacitive series circuits using MATLAB software package

Study of simple inductive-capacitive series circuits using MATLAB software package ecen Advance in ircui, Syem and Auomaic onrol Sudy of imple inducive-capaciive erie circui uing MAAB ofware package NIUESU IU, PĂSUESU DAGOŞ Faculy of Mechanical and Elecrical Engineering Univeriy of Peroani

More information

Forward Converters Presented by Xinbo Ruan Aero-Power Sci-tech Center Nanjing University of Aeronautics & Astronautics

Forward Converters Presented by Xinbo Ruan Aero-Power Sci-tech Center Nanjing University of Aeronautics & Astronautics Forward Converers Presened by Xinbo Ruan Aero-Power Sci-ech Cener Nanjing Universiy of Aeronauics & Asronauics 2012-11-16 1 Oulines 1. Inroducion 2. Forward Converer wih Rese Windings 3. Dual-Swich Forward

More information

, the. L and the L. x x. max. i n. It is easy to show that these two norms satisfy the following relation: x x n x = (17.3) max

, the. L and the L. x x. max. i n. It is easy to show that these two norms satisfy the following relation: x x n x = (17.3) max ecure 8 7. Sabiliy Analyi For an n dimenional vecor R n, he and he vecor norm are defined a: = T = i n i (7.) I i eay o how ha hee wo norm aify he following relaion: n (7.) If a vecor i ime-dependen, hen

More information

13.1 Accelerating Objects

13.1 Accelerating Objects 13.1 Acceleraing Objec A you learned in Chaper 12, when you are ravelling a a conan peed in a raigh line, you have uniform moion. However, mo objec do no ravel a conan peed in a raigh line o hey do no

More information

CHAPTER 18: Electric Currents. Answers to Questions

CHAPTER 18: Electric Currents. Answers to Questions CHTE : Elecric Currens nswers Quesins. mpere-hurs measures charge. The ampere is a charge per uni ime, an he hur is a ime, s he pruc is charge. mpere-hur f charge is 6 Culmbs f charge.. n he circui (n

More information

A Nonisolated Transformerless High Voltage Gain Buck Boost dc-dc Converter

A Nonisolated Transformerless High Voltage Gain Buck Boost dc-dc Converter OAE JOUNA OF EEA ENGNEENG, O 5, NO AUUN 5 9 A Nnlaed ranfrmerle Hgh lage Gan Buck B dcdc nverer hammad eza Banae, Hen Ajdar Faegh bnab * Abrac A nvel ranfrmer le hgh epup buck b dcdc cnverer prped n h

More information

Lecture 12. Aperture and Noise. Jaeha Kim Mixed-Signal IC and System Group (MICS) Seoul National University

Lecture 12. Aperture and Noise. Jaeha Kim Mixed-Signal IC and System Group (MICS) Seoul National University Lecure. Aperure and Noie Analyi of locked omparaor Jaeha Kim Mixed-Signal I and Syem Group MIS Seoul Naional Univeriy jaeha@ieee.org locked omparaor a.k.a. regeneraive amplifier, ene-amplifier, flip-flop,

More information

Performance Comparison of LCMV-based Space-time 2D Array and Ambiguity Problem

Performance Comparison of LCMV-based Space-time 2D Array and Ambiguity Problem Inernaional journal of cience Commerce and umaniie Volume No 2 No 3 April 204 Performance Comparion of LCMV-baed pace-ime 2D Arra and Ambigui Problem 2 o uan Chang and Jin hinghia Deparmen of Communicaion

More information

Impact Switch Study Modeling & Implications

Impact Switch Study Modeling & Implications L-3 Fuzing & Ordnance Sysems Impac Swich Sudy Mdeling & Implicains Dr. Dave Frankman May 13, 010 NDIA 54 h Annual Fuze Cnference This presenain cnsiss f L-3 Crprain general capabiliies infrmain ha des

More information

Basic Circuit Elements Professor J R Lucas November 2001

Basic Circuit Elements Professor J R Lucas November 2001 Basic Circui Elemens - J ucas An elecrical circui is an inerconnecion of circui elemens. These circui elemens can be caegorised ino wo ypes, namely acive and passive elemens. Some Definiions/explanaions

More information

ON THE COMPONENT DISTRIBUTION COEFFICIENTS AND SOME REGULARITIES OF THE CRYSTALLIZATION OF SOLID SOLUTION ALLOYS IN MULTICOMPONENT SYSTEMS*

ON THE COMPONENT DISTRIBUTION COEFFICIENTS AND SOME REGULARITIES OF THE CRYSTALLIZATION OF SOLID SOLUTION ALLOYS IN MULTICOMPONENT SYSTEMS* METL 006.-5.5.006, Hradec nad Mravicí ON THE OMPONENT DISTRIUTION OEFFIIENTS ND SOME REGULRITIES OF THE RYSTLLIZTION OF SOLID SOLUTION LLOYS IN MULTIOMPONENT SYSTEMS* Eugenij V.Sidrv a, M.V.Pikunv b, Jarmír.Drápala

More information

Interpolation and Pulse Shaping

Interpolation and Pulse Shaping EE345S Real-Time Digial Signal Proceing Lab Spring 2006 Inerpolaion and Pule Shaping Prof. Brian L. Evan Dep. of Elecrical and Compuer Engineering The Univeriy of Texa a Auin Lecure 7 Dicree-o-Coninuou

More information

Randomized Perfect Bipartite Matching

Randomized Perfect Bipartite Matching Inenive Algorihm Lecure 24 Randomized Perfec Biparie Maching Lecurer: Daniel A. Spielman April 9, 208 24. Inroducion We explain a randomized algorihm by Ahih Goel, Michael Kapralov and Sanjeev Khanna for

More information