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Low-frequency oscillation phenomenon in pulse skipped modulation (PSM) buck converter operating in continuous conduction mode (CCM) is reported in this paper. Energy transfer difference between the PSM-controlled buck converter operating in discontinuous conduction mode (DCM) and that in CCM is studied. The mechanism of low-frequency phenomenon in PSM-controlled CCM buck converter is revealed, and a discrete-time model of PSM-controlled buck converter operating in CCM is established. Based on this model, the border collision bifurcation with variations of the ESR is studied; meanwhile, the inhibition effect of output capacitor equivalent series resistance (ESR) on low-frequency oscillation is presented. Based on the above analysis, a capacitor current pulse skipped modulation (CC-PSM) technology is proposed; the energy transfer principle of CC-PSM controlled buck converter is analyzed. The control pulse of CC-PSM is generated by the comparison between the sampled capacitor current and preset peak reference current, and thus the range of inductor current ripple is limited. Results show that CC-PSM effectively eliminates the low-frequency oscillation in CCM buck converter under classical PSM when the ESR is low. Finally, the experimental results validate the correctness of theory and simulation analysis
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Keywords:
- DC-DC converter /
- pulse skipped modulation /
- low-frequency oscillation /
- border collision bifurcation
[1] Wang F Q, Zhang H, Ma X K 2012 Chin. Phys. B 21 020505
[2] Zhou Y F, Chen J N, Iu H H C, Tse C K 2008 Int. J. Bifurc. Chaos 18 121
[3] Yang N N, Liu C X, Wu C J 2012 Chin. Phys. B 21 080503
[4] Liu F 2008 Chin. Phys. B 17 2394
[5] Xie F, Yang R, Zhang B 2011 IEEE Trans. Circuits Syst. I 58 2269
[6] Kavitha A, Uma G 2008 IEEE Trans. Power Electronics. 23 2878
[7] Zhou G H, Bao B C, Xu J P, Jin Y Y 2010 Chin. Phys. B 19 050509
[8] Wang F Q, Zhang H, Ma X K 2008 Acta Phys. Sin. 57 2842(in Chinese) [王发强, 张浩, 马西奎 2008 57 2842]
[9] Wang F Q, Zhang H, Ma X K 2008 Acta Phys. Sin. 57 1522(in Chinese) [王发强, 张浩, 马西奎 2008 57 1522]
[10] Wang J P, Xu J P, Bao B C 2011 IEEE Trans. Industrial Electronics. 58 5406
[11] Zhang X, Bao B C, Wang J P, Ma Z H, Xu J P 2012 Acta Phys. Sin. 61 160503(in Chinese) [张希, 包伯成, 王金平, 马正华, 许建平 2012 61 160503]
[12] Wang J P, Xu J P, Zhou G H, Mi C B, Qin M 2011 Acta Phys. Sin. 60 048402(in Chinese) [王金平, 许建平, 周国华, 米长宝, 秦明 2011 60 048402]
[13] Milan P S, Marcallo con Casone M R B, Cigliano L R 1998 United States Patent 5745352
[14] Luo P, Luo L Y, Li Z J, Chen G 2002 IEEE 2002 International Conference on Communications, Circuits and Systems and West Sino Expositions 2 1716
[15] Ma Z H, Xia J F, Bao B C, Sha J 2013 Proceeding of the CSEE 33 24(in Chinese) [马正华, 夏建锋, 包伯成, 沙金 2013 中国电机工程学报 33 24]
[16] Kapat S, Patra A, Banerjee S 2011 IEEE Trans. on Circuits and Systems 58 1958
[17] Luo P, Xiong F G, Li Z J 2004 Chinese Journal of Electronics 32 1829(in Chinese) [罗萍, 熊富贵, 李肇基 2004 电子学报 32 1829]
[18] Luo P, Li Z J, Xiong F G 2004 Journal of Electronics & Information Technology 26 984(in Chinese) [罗萍, 李肇基, 熊富贵 2004 电子与信息学报 26 984]
[19] Niu Q M, Zhang B, Luo P, Li Z J 2006 Proceeding of the CSEE 26 62(in Chinese) [牛全民, 张波, 罗萍, 李肇基 2006 中国电机工程学报 26 62]
[20] Niu Q M, Zhang B, Li Z J 2008 Proceeding of the CSEE 28 32(in Chinese) [牛全民, 张波, 李肇基 2008 中国电机工程学报 28 32]
[21] Kapat S, Banerjee S, Patra A 2010 IEEE Trans. on Industrial Electronics 57 1793
[22] Zhou G H, Xu J P, Bao B C, Wang J P, Jin Y Y 2013 Acta Phys. Sin. 62 010503(in Chinese) [周国华, 许建平, 包伯成, 王金平, 金艳艳 2013 62 010503]
[23] Ma Z H, Xia J F, Bao B C, Wang G Y 2013 Power Electronics 47 86(in Chinese) [马正华, 夏建锋, 包伯成, 王国云 2013 电力电子技术 47 86]
[24] Banerjee S, Ranjan P, Grebogi C 2000 IEEE Trans. on Circuits Syst. I 47 633
[25] Sha J, Bao B C, Xu J P, Gao Y 2012 Acta Phys. Sin. 61 120501(in Chinese) [沙金, 包伯成, 许建平, 高玉 2012 61 120501]
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[1] Wang F Q, Zhang H, Ma X K 2012 Chin. Phys. B 21 020505
[2] Zhou Y F, Chen J N, Iu H H C, Tse C K 2008 Int. J. Bifurc. Chaos 18 121
[3] Yang N N, Liu C X, Wu C J 2012 Chin. Phys. B 21 080503
[4] Liu F 2008 Chin. Phys. B 17 2394
[5] Xie F, Yang R, Zhang B 2011 IEEE Trans. Circuits Syst. I 58 2269
[6] Kavitha A, Uma G 2008 IEEE Trans. Power Electronics. 23 2878
[7] Zhou G H, Bao B C, Xu J P, Jin Y Y 2010 Chin. Phys. B 19 050509
[8] Wang F Q, Zhang H, Ma X K 2008 Acta Phys. Sin. 57 2842(in Chinese) [王发强, 张浩, 马西奎 2008 57 2842]
[9] Wang F Q, Zhang H, Ma X K 2008 Acta Phys. Sin. 57 1522(in Chinese) [王发强, 张浩, 马西奎 2008 57 1522]
[10] Wang J P, Xu J P, Bao B C 2011 IEEE Trans. Industrial Electronics. 58 5406
[11] Zhang X, Bao B C, Wang J P, Ma Z H, Xu J P 2012 Acta Phys. Sin. 61 160503(in Chinese) [张希, 包伯成, 王金平, 马正华, 许建平 2012 61 160503]
[12] Wang J P, Xu J P, Zhou G H, Mi C B, Qin M 2011 Acta Phys. Sin. 60 048402(in Chinese) [王金平, 许建平, 周国华, 米长宝, 秦明 2011 60 048402]
[13] Milan P S, Marcallo con Casone M R B, Cigliano L R 1998 United States Patent 5745352
[14] Luo P, Luo L Y, Li Z J, Chen G 2002 IEEE 2002 International Conference on Communications, Circuits and Systems and West Sino Expositions 2 1716
[15] Ma Z H, Xia J F, Bao B C, Sha J 2013 Proceeding of the CSEE 33 24(in Chinese) [马正华, 夏建锋, 包伯成, 沙金 2013 中国电机工程学报 33 24]
[16] Kapat S, Patra A, Banerjee S 2011 IEEE Trans. on Circuits and Systems 58 1958
[17] Luo P, Xiong F G, Li Z J 2004 Chinese Journal of Electronics 32 1829(in Chinese) [罗萍, 熊富贵, 李肇基 2004 电子学报 32 1829]
[18] Luo P, Li Z J, Xiong F G 2004 Journal of Electronics & Information Technology 26 984(in Chinese) [罗萍, 李肇基, 熊富贵 2004 电子与信息学报 26 984]
[19] Niu Q M, Zhang B, Luo P, Li Z J 2006 Proceeding of the CSEE 26 62(in Chinese) [牛全民, 张波, 罗萍, 李肇基 2006 中国电机工程学报 26 62]
[20] Niu Q M, Zhang B, Li Z J 2008 Proceeding of the CSEE 28 32(in Chinese) [牛全民, 张波, 李肇基 2008 中国电机工程学报 28 32]
[21] Kapat S, Banerjee S, Patra A 2010 IEEE Trans. on Industrial Electronics 57 1793
[22] Zhou G H, Xu J P, Bao B C, Wang J P, Jin Y Y 2013 Acta Phys. Sin. 62 010503(in Chinese) [周国华, 许建平, 包伯成, 王金平, 金艳艳 2013 62 010503]
[23] Ma Z H, Xia J F, Bao B C, Wang G Y 2013 Power Electronics 47 86(in Chinese) [马正华, 夏建锋, 包伯成, 王国云 2013 电力电子技术 47 86]
[24] Banerjee S, Ranjan P, Grebogi C 2000 IEEE Trans. on Circuits Syst. I 47 633
[25] Sha J, Bao B C, Xu J P, Gao Y 2012 Acta Phys. Sin. 61 120501(in Chinese) [沙金, 包伯成, 许建平, 高玉 2012 61 120501]
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