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 MU Qing-bo WANG Jin-ping QIN Ming College of Elecrical Engineering Souhwes Jiaoong Universiy Chengdu 610031 China Absrac For he large oupu volage ripple caused by he nonlinear characerisics of pulse rain P conrol DC-DC converers a novel non-linear conrol mehod P conrol echnique is invesigaed. P conrolled Buck converer operaing in disconinuous conducion mode DCM is sudied in his paper. P conrol realized he oupu volage regulaion of swiching converer wih wo prese conrol pulses he combinaion of conrol pulses in a pulse rain repeiion cycle considering he exisence of he filer capacior equivalen series resisance was analyzed in differen working condiion. Finally based on he exising analysis of oupu volage ripple he acual oupu volage ripple characerisics of P conrol was analyzed o provide heoreical basis for he pracical applicaion of P conrol. Simulaion and experimen resuls show ha he acual pulse combinaions and ripple analysis is consisen wih he realiy. Key words DC-DC converers pulse rain oupu volage ripple Buck converer disconinuous conducion mode 0 pulse widh modulaion PWM 2009-09 - 17 50677056 SWJU09Z13 1963 1984 1984 1982
2 14 1-2 pulse rain P PWM 3 Buck 4-12 PWM ΔE P H in = V in V in - D 2 2L H 2 1 13-14 ΔE P L in = V in V in - D 2 2L L 2 2 Buck P L = V in V in - D 2 L /2L disconinuous conducion Buck mode DCM Buck P H = V in V in - D 2 H /2L P P H P L Buck Buck Buck Buck P H Buck P L 1 2 1 1 /k 2 k 1 Buck 2 V ref P H Buck 2. 1 3 DCM Buck V ref 3 a ES = 0 P L Buck i L v o 3 b ES 0 P H P L i L v c ES D H v ES v o D L k = D H /D L k > 1 μ H P H μ L P L 3 μ H + μ L 2. 1. 1 ES = 0 P H P L ES = 0 3-11 3 a = 0 0 1 i L i o 2 DCM Buck i L i L 0 = 0 i L 1 = i o
5 DCM Buck 3 + - V in Fig. 1 i L S V p 1 ON D 比较器 P H P L L - + V C ES V ref 基准电压 i o 采样 + - 时钟 Buck Pulse rain conrolled buck converer OFF V ref Δv C L = V in V in - D 2 L 2-2CL C 4 2. 1. 2 ES 0 ES ES ES ES ES 3 b ES ES ES P H P H P L P L i L ON OFF Fig. 2 2 Inducor curren driven by high and low power pulse 1 ON i L 驻 v i o i L - i C,H o v c 驻 v H ON 2 i L i o 0 1 2 i L - i o i L ON = V in D H /L = 2 i L 2 = i o 2 = D H + V in - D H / - L/ 2 3 i L i o i L ON OFF i o - i L 0 1 2 3 = 3 i L 3 =0 驻 v 驻 v C,H 3 v H1 c i o 0 1 2 3 a i L > i o i L < i o v ES 驻 v ES - v H v C H 0 Δv H = C 1 2 i C d = 1 V in - 1 2C D L H - ( ) v o 驻 v H%%% 驻 v V ( in D V H - L o - L V in - ) - 2CL C (b) ES 0 时输出电压纹波分析图 3 3 Fig. 3 Waveforem of oupu volage ripple Δv C H = 1 C 0 ic d = V in V in - D 2 H 2 1 0 1 3 0 2 P H P H P H P L (a) ES=0 时输出电压纹波分析图 P H P L i o v o i o
4 14 3 b 0 ON i L > i o i L < i o 0 ON Δv ES Δv H1 = V in - D 2 H 2 2LC v H1 ES 0.07 Δv ES = V in - D H L ES - D H C 5 6 v o = v c + v ES (a) (b) Δv H = v omax - v omin v omax v omin 4 v C H - v C L μ H /μ L ES ES Fig. 4 v C H - v C L and μ H /μ L as funcions of 2. 3 ES - Δv H = Δv H1 + Δv ES 0 = V in - D 2 H 2 2LC V in - D H L ES - D H C + 7 2. 2 ES 0 P H P L 3 b ES 0 Δv = Δv H + Δv C H = Δv ES + Δv H1 + Δv C H 9 ES v C H Δv H 4 a v C H 0.2 - v C L 0.15 0.1 4 a 0.05 μ H = μ L 0-0.05 0%%%%%%0.2%%%%%0.4%%%%0.6%%%%%0.8%%%%%%%1 D H 4 b μ H /μ L 5 v D H = 13. 5 Ω μ H /μ L = 2 Fig. 5 v as a funcion of D H when = 13. 5 Ω μ H /μ L = 2 驻 vc,h(- 驻 vc,l)/v 1 = 12 Ω μ H /μ L = 2 5 v D H 4 8 5 v D H D H k = D H /D L 0.08 0.06 0.05 0.04 0.03 0.02 驻 v C,L 0.01 0 5%%%%10%%%15%%%%20%%%25%%%%30%%%35 / 赘 驻 v C,H 7 6 5 4 3 2 1 0 滋 H/ 滋 L 15%%%%%%20%%%%%25%%%%%30%%%%%35 / 赘 μ H Δv C H = μ L - Δv C L μ H μ H /μ L = - Δv C L /Δv C H 8 μ L Buck Δv = Δv' H + μ H - 1 Δv C H = Δv ES + Δv H1 + 3 4 8 v C H - v C L μ H /μ L 4 μ H - 1 Δv C H 0.3 10 驻 v/v 0.25
5 DCM Buck 5 2. 1 W 4. 7 W Buck k 3 Buck ES L = 100 μh C = 940 μf ES = 20 mω V in = 15 V = 8 V V ref = 8 V 5-35 Ω D H = 0. 5 D L = 0. 2 50 μs 6 Buck 0.20 4. 7 W i L ES = 0 (a) 负载电流 v o ES = 20 mω ES v ES 2.00 1.50 v o ES = 0 1.00 0.50 ES 0 0.00 6-0.50 8.45%%%%8.66%%%%%8.87%%%%%9.08%%%%%9.29%%%%%9.50 ES 55 mv 4 4. 7 W 7 2. 1 W 4. 7 W 13. 5 Ω μ H /μ L = 2 2. 1 W o 4. 7 W ves%/v il/a vo%/v 6 2.00 1.50 1.00 0.50 0.00-0.50 8.02 8.01 8.01 8.00 7.99 7.99 30.0%m 20.0%m 10.0%m 0.0%m -10.0%m 20.0%m vo%/v Fig. 6 (a) 电感电流 (b) 电容电压纹波 (c) ES 上的电压变化 8.03 8.01 7.99 7.97 14.25%%%%%%%14.35%%%%%%%%14.45%%%%%%%%14.55%%%%%%%%14.65%%%%%%%14.75 (d) 输出电压纹线 /ms 4. 7 W Buck Simulaion resuls of pulse rain conrolled buck converer wih 4. 7 W load 7 ES = 0 ES 0 = 9 ms 2. 1 W 4. 7 W Fig. 7 il/a io%/a il(1%a/div)vo(50%mv/div) Vo(5%V/div) il(1%a/div)vo(5%v/div)io(0.2%a/div) Fig. 8 0.60 0.50 0.40 0.30 (b) 电感电流 /ms Curren waveform when sep load changed from 输出电压 输出电压纹波 电感电流 (40% 滋 s/div) (a) 负载功率 4.7%W 时稳态实验波形 负载突变 电感电压 电感电流 (100% 滋 s/div) (b) 负载由 2.1%W 突增为 4.7%W 时实验波形 8 Experimen resuls of seady sae and ransien performance
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