Inernaional Symposium on Mechanical Engineering and Maerial Science (ISMEMS 016 Phase-Shifing Conrol of Double Pulse in Harmonic Eliminaion Wei Peng1, a*, Junhong Zhang1, Jianxin gao1, b, Guangyi i1, c 1 College of Elecrical Engineering, Naval Univ. of Engineering, Wuhan 430033, China a 1530911613@qq.com, bgaojianxin_cn@163.com, d530785601 @qq.com Keywords: Double pulse, Phase-shifing conrol, FFT analysis Absrac. Wih he wide usage of elecronic devices, harmonic wave is becoming worse. A mehod of Phase-Shifing Conrol of Double Pulse (PSCDP is inroduced in his paper. In coninuous conducion mode, mahemaical model beween harmonic and phase-shifing is buil, FFT is used o evaluae he harmonic conen under differen phase-shifing. The resul indicaes ha he mehod of PSCDP can reduce oupu harmonic and make he DC-DC converer less dependen on filer. Inroducion DC-DC converer, wih many excellen properies like high power conver efficiency, high power densiy, is widely used in he moor speed. However, power elecronic devices swiching operaions will generae harmonics and influence he running of he moor. Alhough acive power filer has ousanding effec on harmonic eliminaion, he design is complex and he cos is high. Passive filer is widely used in pracical engineering, for is easy design and low cos. Bu he passive filer is no flexible, a se of C filer can only eliminae a cerain order harmonic. To reach a grea effec on suppressing he converer's oupu harmonics, many groups of C filer is needed. If he harmonic waves generaed in power elecronic devices swiching operaions is reduce, he oupu is less dependen on filers. Phase-Shifing Conrol of Double Pulse (PSCDP is he improvemen of PWM (Pulse Widh Modulaion. The paper shows how Phase-Shifing Conrol of Double Pulse can reduce harmonic waves when used in Boos circui. In he PSCDP mehod, wo pulses of differen duy cycle bu he same frequency are used o conrol he swiching operaions of power elecronic devices. The oupu wave is dependen on he duy cycle of each pulse and phase difference beween hem. When he pulses are a appropriae duy cycle and phase, he harmonic wave is lower. a. Ordinary PWM signal b. Double PWM signal Fig. 1 The compacyclen graph of ordinary PWM and double PWM signal. Fig. 1 shows he difference beween he single pulse-widh signal (on lef par and double pulse-widh signal (on righ par. When he oal duy cycle of he wo pulses are he same wih single pulse, he average oupu volage will be he same. Copyrigh 016, he Auhors. Published by Alanis Press. This is an open access aricle under he CC BY-NC license (hp://creaivecommons.org/licenses/by-nc/4.0/. 304
The Working Principle of Boos Circui Conrolled by Single Pulse On Curren Coninuous Mode, he work period of Boos circui can be divided ino wo seps. Fig. shows he working mechanism of Boos circui conrolled by single and double pulse. V VG io Toff Ton ic T 1 I max I ic I min VG V id 1 I1 ic Don T Don1T a T I3 I I4 I0 Fig. The working mechanism of Boos circui. 1Jus as Fig..a shows, when he swiching ube is on, he volage change of capacior is no grea, and volage on inducor is, so he inducor curren grows linearly. When = Ton = DTS, comes o he larges I max. During ime Ton, has increased : = V Ton = S DTS (1 When he swiching ube is off, he volage of capacior is no grea, he volage on inducor is sable a, for <, decreases linearly, d / d =. During ime Toff, has decreased : = V Toff = O (1 D TS ( When he circui is sable, he inducor increase and decrease should be he same: = V DTS = = O (1 D TS = 1 D (3 The average oupu volage is, ranges beween min and max, he oupu volage is: 305
max (1 0 DTS vo ( = min D ( DTS DTS TS (1 D (4 Swich o he frequency domain and ge fourier ransformed: ω max (1 0 ω π D vo (ω = min D (ω π D π D ω π (1 D (5 vo (ω = [an cos( nω bn sin( nω ] n =1 (6 an = [1 cos(nπ D ] n πω (1 D bn = sin(nπ D n πω (1 D I can be concluded from Eq. 6 ha he oupu harmonic is relaed o he frequency and duy cycle under cerain circui parameer. Increase he working frequency can reduce oupu harmonic wave, bu may lead o grea swiching loss. The Working Principle of Boos Circui Conrolled by Double Pulse The firs pulse duy cycle is Don1, he second is Don, swiching period is T, oal duy cycle is D, jus as Fig..e shows, heir relaionships are lised in equaion -0 1, when M, N and oal duy cycle is se,each pulse duy cycle and phase difference are se: Ton1 = Don1 T T = D T =ND T on on1 on D = Don1 Don D T T a on a =MDon1T Don1T (7 1 When he swiching ube is on under he conrol of he firs pulse, he capacior powers he load R, he capaciy volage( vo ( decreases linearly: vo ( =V0 (1 (8 When = Ton1 = Don1T, vo ( comes o V1, vo ( has oally decreased V1. V1 = Don1TS V1 = V0 (1 Don1TS (9 (10 When he swiching ube is off under he conrol of he firs pulse, he capacior is charged, he capaciy volage ( vo ( increases linearly: 306
vo ( = V1 D (1 D (11 When = MDon1TS, vo ( increases o V, vo ( has oally increased V1,: V1 = D ( M 1 Don1TS (1 D V = V1 D ( M 1 Don1TS (1 D (1 (13 When he swiching ube is on under he conrol of he second pulse, he capacior powers he load R, he capaciy volage( vo ( decreases linearly: vo ( =V (1 (14 When = Don T MDon1T, vo ( comes o V3, vo ( has oally decreased V : V = Don TS V3 = V (1 Don TS (15 (16 3 When he swiching ube is off under he conrol of he firs pulse, he capacior is charged, he capaciy volage ( vo ( increases linearly: vo ( = V3 D (1 D (17 When = TS, vo ( comes o V4 = V0, vo ( has oally decreased V : V = D ( M 1 Don1TS (1 D V4 = V3 D (1 MDon1 Don TS (1 D (18 (19 The capaciy volage in a period is: V0 (1 0 Don1TS V D ( D T D T MD T 1 (1 D vo ( = V (1 MDon1TS ; MD T D V3 ( T (1 D (0 Swich o he frequency domain and fourier ransformed: 307
vo (ω = [an cos( nω bn sin( nω ] n =1 (1 an = 1 M MN [1 cos(nπ D cos(nπ D cos(nπ D ] n π ω (1 D 1 N 1 N 1 N bn = 1 M M N [ sin(nπ D sin(nπ D sin(nπ D ] n π ω (1 D 1 N 1 N 1 N I can be concluded from Eq. 1 ha he oupu harmonic is relaed o he frequency, M, N under cerain circui parameer. Appropriae M, N can be work ou o decrease harmonic wave. Simulaion Analysis and Conclusion Models are buil in Simulink o sudy he relaionship beween oupu and M, N. The working frequency is se a 10000Hz, he inducor is 600 µ H, he capacior C is 330 µ F, he DC volage source is 100 V, he load R is 5 Ω. Fig. 3 shows he oupu volage when he swiching ube is conrolled by single pulse, and double pulse when M = 5 3 wih N = 3, M = 3 wih N = 3, M = 8 3 wih N = 7 3. The oal duy cycle is 0.5. Fig. 3 Oupu volage conrolled by single and double pulse. Fig. 4 FFT analysis of oupu harmonic. I can be concluded from Fig. 3 ha PSCDP mehod can reduce he oupu volage ripple.the oupu changes wih he duy cycle of each pulse and he phase difference varying. When M = 5 3 and N = 3, he oupu volage ripple is smaller han ha on he oher wo condiions. Fig. 4.b indicaes ha when M = 5 3 and N = 3, he second harmonic is almos reduced o zero. While in Fig. 4.c, he fundamenal harmonic is grealy reduced. Combined wih Eq. 1, i can be concluded ha appropriae M and N can be work ou o reduce oupu harmonic o he greaes degree. Experimen was conduced o verify he superioriy of opimized PSCDP when compared wih ordinary PWM, Fig. 5 compares he oupu volage waveform and oupu curren waveform, han FFT analysis was made, Fig. 6 shows he ampliude of harmonic under ordinary PWM and PSCDP. I can be concluded from Fig. 6 ha harmonic suppression resuls under PSCDP was beer han ordinary PWM. Fig. 6 he frequency specrogram of oupu volage under ordinary PWM and PSCDP. 308
(a ordinary PWM (b PSCDP Fig. 5 The comparaion of oupu under PWM and PSDPWM. (a ordinary PWM (b PSCDP Fig. 6 The frequency specrogram of oupu volage under ordinary PWM and PSCDP. References [1] S. P. Hasmukh, G. H. Richard. Generalized echniques of harmonic eliminaion and volage conrol in hyrisor inverers: Par I-Harmonic Eliminaion. IEEE Trans. Ind. Appl. IA-9(3 (1973. [] J. W. Dixon, B. T. Ooi. Indirec curren conrol of a uniy power facor sinusoidal curren boos ype hree-phase recifier. IEEE Trans. Ind. Elecron. 1988. [3] O. Tokun. Three Phase PWM Converer/Inverer by means of Insananeous Acive and Reacive Power Conrol. Proc. IEEE, IECON, 1991. [4] M. Tomokazu, N. Musuo. Pracical Evaluaions of a Z-PWM DC-DC Converer Wih Secondary-Side Phase-Shifing Acive Recifier. IEEE Trans. Power Elecron. 011. [5] Y. M. Jiang, e al. A Novel Single-phase Power Facor Correcion Scheme. IEEE. 1993. 309