不对称半桥软开关研究
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摘要
为了满足功率变换器的小型化、轻量化、模块化的发展趋势，软开关技术已成为电力电子技术的热点之一。“软开关”是指零电压开关或零电流开关，它是利用谐振原理，使开关变换器的开关管电压(或电流)按正弦(或准正弦)规律变化，当电压过零时，使器件开通(或电流自然过零时，使器件关断)，实现开关损耗为零，从而提高开关频率，减小变压器、电感的体积。虽然，软开关技术能够实现功率变换器的小型化、模块化等，但是，电路变得更加复杂，使得中小功率的变换器的成本增加，往往不利于商业竞争。本文研究了一种零电压的不对称半桥拓扑结构，它可以在不增加电路成本的基础上，利用电路自身的特点，实现软开关。
本文所做的主要工作如下：
(1) 对不对称半桥主电路工作原理进行分析，给出了占空比与输出电压、输入电压的关系以及消除变压器偏磁的方法。
(2) 对不对称半桥在一个完整的开关周期内各个状态分析，描述了隔直电容电压和变压器漏感电流的变化规律，各个状态的持，然后得出实现ZVS的条件，从而为设置合理的死区时间提供了理论指导，最后用Saber软件进行了仿真，验证了零电压开关实现的可能性。
(3) 不对称半桥DC／DC变换器的建模分析
采用状态空间平均法建立了不对称半桥变换器功率级的小信号平均电路模型，在此基础上建立整个变换器系统模型，对系统的动态特性和稳定性进行了分析并设计了补偿器。
最后，用Matlab软件进行仿真，验证了整个系统的稳定性，用Saber软件仿真，验证了系统的动态性能。
(4) 不对称半桥的实验电路设计及实验结果
基于前面的分析，设计了一个不对称半桥DC／DC变换器的实验电路，进行了实验研究，实验结果证实了在满足死区和负载电流两个条件时，不对称半桥可以实现零电压开关。
Soft switching technology has been one of the hot points of power electronic technologies for smaller and lighter and modularization converter. "Soft switching" is zero voltage switching or zero current switching, which the voltage (or current) of the switch varies by law of sine or quasi sine, the switch is on when its voltage reaches zero (or switch is off when its current reaches zero) by resonance. It makes switch loss is zero, so it can increase the operating frequency and raise power density, minimize the size of transformer and inductor. However, it makes the circuit complex, which means it cost more, which affects the competitiveness of commercial product. A topology of asymmetrical half bridge soft switching is researched in this thesis, which has inherent zero voltage switching (ZVS) capability and thus potentially higher efficiency by its resonating of the leakage of power transformer with the parasitic capacitances of the power MOSFT switches, whereas it doesn't raise the expense of the converter
These studies in the thesis have been done as follows:
(1) The topology of asymmetrical half bridge is introduced, and its principle and the relation of duty cycle and input voltage and output voltage discussed, the method of eliminating the deflection magnetism is also brought forward .
(2) Each state of the total switching period has been studied in detail, in which the voltage of block capacitor and current of leakage inductance of main transformer and keeping time of each state have been discussed, then the condition of zero voltage switching is attained, which gives theory guidance for setting reasonable dead time, finally, the possibility of zero voltage switching is proved by simulation of Saber software.
(3) Modeling of the asymmetrical half bridge converter
In the thesis, a small average circuit model of asymmetrical half bridge converter power stage is established by method of state space averaging. In term of it, a system model of total converter is founded. The characteristic of stabilization and dynamic is analysed and the compensator is designed basing of it.
The stability of the converter is validated by simulation of Matlab and dynamic approved by simulation of Saber.
(4) The experiment of asymmetrical half bridge converter design and the result of it Base of the above analysis, the DC/DC converter is designed, it is proved that
asymmetrical half bridge can realize zero voltage switching when it satisfies the condition of load current and deadtime by the experiment.
本文所做的主要工作如下：
(1) 对不对称半桥主电路工作原理进行分析，给出了占空比与输出电压、输入电压的关系以及消除变压器偏磁的方法。
(2) 对不对称半桥在一个完整的开关周期内各个状态分析，描述了隔直电容电压和变压器漏感电流的变化规律，各个状态的持，然后得出实现ZVS的条件，从而为设置合理的死区时间提供了理论指导，最后用Saber软件进行了仿真，验证了零电压开关实现的可能性。
(3) 不对称半桥DC／DC变换器的建模分析
采用状态空间平均法建立了不对称半桥变换器功率级的小信号平均电路模型，在此基础上建立整个变换器系统模型，对系统的动态特性和稳定性进行了分析并设计了补偿器。
最后，用Matlab软件进行仿真，验证了整个系统的稳定性，用Saber软件仿真，验证了系统的动态性能。
(4) 不对称半桥的实验电路设计及实验结果
基于前面的分析，设计了一个不对称半桥DC／DC变换器的实验电路，进行了实验研究，实验结果证实了在满足死区和负载电流两个条件时，不对称半桥可以实现零电压开关。
Soft switching technology has been one of the hot points of power electronic technologies for smaller and lighter and modularization converter. "Soft switching" is zero voltage switching or zero current switching, which the voltage (or current) of the switch varies by law of sine or quasi sine, the switch is on when its voltage reaches zero (or switch is off when its current reaches zero) by resonance. It makes switch loss is zero, so it can increase the operating frequency and raise power density, minimize the size of transformer and inductor. However, it makes the circuit complex, which means it cost more, which affects the competitiveness of commercial product. A topology of asymmetrical half bridge soft switching is researched in this thesis, which has inherent zero voltage switching (ZVS) capability and thus potentially higher efficiency by its resonating of the leakage of power transformer with the parasitic capacitances of the power MOSFT switches, whereas it doesn't raise the expense of the converter
These studies in the thesis have been done as follows:
(1) The topology of asymmetrical half bridge is introduced, and its principle and the relation of duty cycle and input voltage and output voltage discussed, the method of eliminating the deflection magnetism is also brought forward .
(2) Each state of the total switching period has been studied in detail, in which the voltage of block capacitor and current of leakage inductance of main transformer and keeping time of each state have been discussed, then the condition of zero voltage switching is attained, which gives theory guidance for setting reasonable dead time, finally, the possibility of zero voltage switching is proved by simulation of Saber software.
(3) Modeling of the asymmetrical half bridge converter
In the thesis, a small average circuit model of asymmetrical half bridge converter power stage is established by method of state space averaging. In term of it, a system model of total converter is founded. The characteristic of stabilization and dynamic is analysed and the compensator is designed basing of it.
The stability of the converter is validated by simulation of Matlab and dynamic approved by simulation of Saber.
(4) The experiment of asymmetrical half bridge converter design and the result of it Base of the above analysis, the DC/DC converter is designed, it is proved that
asymmetrical half bridge can realize zero voltage switching when it satisfies the condition of load current and deadtime by the experiment.
引文
[1] 王聪，软开关功率变换器及其应用，2000，科学技术出版社。
[2] 阮新波，严仰光，直流开关电源的软开关技术，2000，科学技术出版社。
[3] 张占松，蔡宣三，开关电源的原理与设计，1998，电子工业出版社。
[4] 李爱文，张承慧，现代逆变技术及其应用，2000，科学出版社。
[5] Ninomiya, T., Shoyama, M., Zaitsu, T., Zero-voltage-switching techniques and their application to high-frequency converter with piezoelectric transformer, Industrial Electronics, Control and Instrumentation, 1994, IECON'94, 20th International Conference on, Volume: 3, 5-9 Sep 1994,pp1665-1669.
[6] Farhangi, S., Kirchenberger, U., Schroeder, D., Energy based closed form solution of ZCS multiresonant series-parallel converters, Power Electronics, IEEE Transactions on, Volume: 11 Issue: 2, Mar 1996, pp285-291.
[7] Cheng, K.W.E., Yeung, Y.P., Investigation of zero-current switching fixed frequency resonant-transition square wave converters, Power Electronics and Drive Systems, 1999, PEDS'99, Proceedings of the IEEE 1999 International Conference on, Volume: 2, 1999, pp755-760.
[8] Hosotani, T., Harada, K., Ishihara, Y., Todaka, A novel ZVS multi-resonant converter with rectifiers deadtime control operated in 20 MHz range, Telecommunications Energy Conference, 1994, INTELEC' 94, 16th International, 30 Oct-3 Nov 1994, pp 115-122.
[9] Ioannidis, G., Xanthoulis, E., Manias, S.N., Analysis and design of a novel fixed-frequency buck-boost zero-current, zero-voltage switched converter, Electric Power Applications, IEEE Proceedings, Volume: 145 Issue: 1, Jan 1998, pp33-38.
[10] Jianming Yao, Lipo, T.A,A novel soft-switching inverter with ZCS-ZVS features, Power Electronics Specialists Conference, 2001, PESC'01 IEEE 32nd Annual, Volume: 2, 2001, pp1141-1146.
[11] Grigore, V., Kyyra, J., A new zero-voltage-transition PWM buck converter, Electroteehnical Conference, 1998, MELECON 98, 9th Mediterranean, Volume: 2,18-20 May 1998, pp1241-1245.
[12] Wei Dong, Dengming Peng, Huijie Yu, Lee, F.C., Lai, J., A simplified control scheme for zero voltage transition (ZVT) inverter using coupled inductors, Power Electronics Specialists Conference, 2000, PESC'00, 2000 IEEE 31st Annual, Volume: 3, 2000, pp1221-1226.
[13] Marx, M., Schroder, D., A novel zero-current-transition full-bridge DC-DC converter, Power Electronics Specialists Conference, 1996, PESC'96 Record, 27th Annual IEEE, Volume: 1,
23-27 Jun 1996, pp664-669.
[14] Hang-Seok Choi, Kim, J.W., Cho, B.H.,Novel zero-voltage and zero-current-switching (ZVZCS) full-bridge PWM converter using coupled output inductor, Applied Power Electronics Conference and Exposition, 2001, APEC'01, Sixteenth Annual IEEE, Volume: 2, 2001, pp 967-973.
[15] Jung-Goo Cho, Ju-Won Baek, Chang-Yong Jeong, Dong-Wook Yoo; Kee-Yeon Joe, Novel zero-voltage and zero-current-switching full bridge PWM converter using transformer auxiliary winding, Power Electronics, IEEE Transactions on, Volume: 15 Issue: 2, Mar 2000, pp250-257.
[16] Hsieh, G.-C., Lai, M.-F., Wang, J.-P., Lia, M.-H., Realization study of isolated half-bridge zero voltage-switched converter, Industrial Electronics Control and Instrumentation, 1994. IECON'94, 20th International Conference on, Volume 1, 5-9 Sep 1994, pp663-668.
[17] Hamada, S., Mii, T., Shimizu, T., Nakaoka, M.,Saturable Reactor And Lossless Capacitor-assisted Zero Voltage Transition Asymmetrical PWM DC-DC Converter With High-frequency Transformer Link, Power Electronics and Variable Speed Drives, 1996, Sixth International Conference on (Conf. Publ. No. 429), 23-25 Sep 1996, pp173-178.
[18] Miftakhutdinov, R., Nemchinov, A., Meleshin, V., Fraidlin, S., Modified asymmetrical ZVS half-bridge DC-DC converter, Applied Power Electronics Conference and Exposition, 1999, APEC'99, Fourteenth Annual, Volume: 1, 14-18 Mar 1999, pp567-574.
[19] Rengang Chen, Strydom, J.T., Van Wyk, J.D., Design of planar integrated passive module for zero-voltage switched asymmetrical half bridge PWM converter, Industry Applications Conference, 2001, Thirty-Sixth IAS Annual Meeting. Conference Record of the 2001 IEEE, Volume: 4, 5-9 Oct 2001, pp2232-2237.
[20] Weiyun Chen, Peng Xu, Lee, F.C, The optimization of asymmetric half bridge converter, Applied Power Electronics Conference and Exposition, 2001, APEC'01, Sixteenth Annual IEEE, Volume: 2, 2001, pp703-707.
[21] Carli, G., Dual modulation using the half bridge with complementary control, Applied Power Electronics Conference and Exposition, 1999, APEC'99, Fourteenth Annual, Volume: 2, 14-18 Mar 1999, pp987-993.
[22] Peng Xu, Qiaoqiao Wu, Pit-Leong Wong, Lee, F.C, A novel integrated current doubler rectifier, Applied Power Electronics Conference and Exposition, 2000, APEC'00, Fifteenth Annual IEEE, Volume: 2, 2000, pp735-740.
[23] Kirchenberger, U.,Schroder, D., Comparison of multiresonant half-bridge DC-DC converters for high voltage and high output power, Industry Applications Society Annual Meeting, 1992, Conference Record of the 1992 IEEE, 4-9 Oct 1992, pp902-909.
[24] Heldwein, M.L.,Ferrari de Souza, A., Barbi, I., A primary side clamping circuit applied to the
ZVS-PWM asymmetrical half-bridge converter, Power Electronics Specialists Conference,2000. PESC'00, 2000 IEEE 31st Annual, Volume: 1, 2000, pp199-204.
[25] Korotkov, S., Meleshin, V., Miftahutdinov, R., Fraidlin, S., Soft-Switched Asymmetrical Half-bridge DC/DC Converter: Steady-State Analysis. An Analysis Of Switching Processes, Telescon'97, The Second International Telecommunications Energy Special Conference, 22-24 Apr 1997, pp177-184.
[26] Czarkowski, D., Kazimierczuk, M.K., Circuit models of PWM half-bridge DC-DC converter, Circuits and Systems, 1992, Proceedings of the 35th Midwest Symposium on, 9-12 Aug 1992,pp469-472.
[27] Yi-Hsin Leu, Chern-Lin Chen, Tso-Min Chen, Analysis and design for asymmetrical half-bridge forward mode converters, Power Electronics and Drive Systems, 2001, Proceedings, 2001 4th IEEE International Conference on, Volume: 1, 22-25 Oct 2001, pp 126-130.
[28] Korotkov, S., Fraidlin, S., Calculation of the voltage transfer ratio of the asymmetrical half-bridge DC/DC converter using transformer's windings coupling coefficients, Power Electronics Specialists Conference, 1998, PESC'98 Record. 29th Annual IEEE, Volume: 2,17-22 May 1998, pp1979-1984.
[29] Jiangtao Feng, Yuequan Hu, Wei Chen, Chau-Chun, W, ZVS analysis of asymmetrical half-bridge converter, Power Electronics Specialists Conference, 2001, PESC'2001 IEEE 32nd Annual, Volume: 1,2001, pp243-247.
[30] 柯忠伟，不对称半桥DC/DC变换器研究，浙江大学，2000，硕士论文。
[31] Krupskiy, L., Meleshin, V., Nemchinov, Unified model of the asymmetrical half-bridge converter for three important topological variations, Telecommunications Energy Conference, 1999, INTELEC'99, The 21st International, Jun 1999, pp810-818.
[32] Tolle, T., Duerbaum, T., Modelling of ZVS transitions in asymmetrical half-bridge PWM converters, Power Electronics Specialists Conference, 2001, PESC'2001 IEEE 32nd Annual, Volume: 1., 2001, pp308-313.
[33] Liang, J.H., Po-Chueh Wang, Kuo-Chien Huang, Chern-Lin Chen, Yi-Hsin Leu, Tsuo-Mim Chen, Design optimization for asymmetrical half-bridge converters, Applied Power Electronics Conference and Exposition, 2001, APEC'01, Sixteenth Annual IEEE, Volume: 2, 2001, pp697-702.
[34] Korotkov, S., Meleshin, V., Nemchinov, A., Fraidlin, S., Small-signal modeling of soft-switched asymmetrical half-bridge DC/DC converter, Applied Power Electronics Conference and Exposition, 1995. APEC'95, Conference Proceedings 1995, Tenth Annual Issue: 0, 5-9 Mar 1995, pp707-711.
[35] Sun, J., Schoneman, G.K., Jenkins, D.E, Small-signal characterization of a zero-voltage switching DC/DC converter for pulse-load applications, Power Electronics Specialists
Conference, 1999, PESC'99, 30th Annual IEEE, Volume: 1, Aug 1999, pp439-444.
[36] Abedinpour, S., Liu, R., Fasullo, G., Shenai, K., Small-signal analysis of a new asymmetrical half-bridge DC-DC converter, Power Electronics Specialists Conference, 2000, PESC'00, 2000 IEEE 31st Annual, Volume: 2, 2000, pp843-847.
[37] Korotkov, S., Miffakhutdinov, R., Nemchinov, A., Fraidlin, S., Asymmetrical half-bridge in a single stage PFC AC/DC converter, Applied Power Electronics Conference and Exposition, 1997, APEC'97 Conference Proceedings 1997, Twelfth Annual, Volume:1, 23-27 Feb 1997, pp484-488.
[38] 开关电源技术指南(上册、中册、下册)，北京奥米伽电源技术服务中心。
[39] 吴麒，自动控制原理，2000，清华大学出版社。
[40] 陈保国，庞志峰，开关电源高频变压器的设计，河北工业科技，1999年第2期，page36～42。
[41] 陆治国，电源的计算机仿真技术，2000，科学技术出版社。
[42] 韩利竹，王华，Matlab电子仿真与应用，2001，国防工业出版社。
[2] 阮新波，严仰光，直流开关电源的软开关技术，2000，科学技术出版社。
[3] 张占松，蔡宣三，开关电源的原理与设计，1998，电子工业出版社。
[4] 李爱文，张承慧，现代逆变技术及其应用，2000，科学出版社。
[5] Ninomiya, T., Shoyama, M., Zaitsu, T., Zero-voltage-switching techniques and their application to high-frequency converter with piezoelectric transformer, Industrial Electronics, Control and Instrumentation, 1994, IECON'94, 20th International Conference on, Volume: 3, 5-9 Sep 1994,pp1665-1669.
[6] Farhangi, S., Kirchenberger, U., Schroeder, D., Energy based closed form solution of ZCS multiresonant series-parallel converters, Power Electronics, IEEE Transactions on, Volume: 11 Issue: 2, Mar 1996, pp285-291.
[7] Cheng, K.W.E., Yeung, Y.P., Investigation of zero-current switching fixed frequency resonant-transition square wave converters, Power Electronics and Drive Systems, 1999, PEDS'99, Proceedings of the IEEE 1999 International Conference on, Volume: 2, 1999, pp755-760.
[8] Hosotani, T., Harada, K., Ishihara, Y., Todaka, A novel ZVS multi-resonant converter with rectifiers deadtime control operated in 20 MHz range, Telecommunications Energy Conference, 1994, INTELEC' 94, 16th International, 30 Oct-3 Nov 1994, pp 115-122.
[9] Ioannidis, G., Xanthoulis, E., Manias, S.N., Analysis and design of a novel fixed-frequency buck-boost zero-current, zero-voltage switched converter, Electric Power Applications, IEEE Proceedings, Volume: 145 Issue: 1, Jan 1998, pp33-38.
[10] Jianming Yao, Lipo, T.A,A novel soft-switching inverter with ZCS-ZVS features, Power Electronics Specialists Conference, 2001, PESC'01 IEEE 32nd Annual, Volume: 2, 2001, pp1141-1146.
[11] Grigore, V., Kyyra, J., A new zero-voltage-transition PWM buck converter, Electroteehnical Conference, 1998, MELECON 98, 9th Mediterranean, Volume: 2,18-20 May 1998, pp1241-1245.
[12] Wei Dong, Dengming Peng, Huijie Yu, Lee, F.C., Lai, J., A simplified control scheme for zero voltage transition (ZVT) inverter using coupled inductors, Power Electronics Specialists Conference, 2000, PESC'00, 2000 IEEE 31st Annual, Volume: 3, 2000, pp1221-1226.
[13] Marx, M., Schroder, D., A novel zero-current-transition full-bridge DC-DC converter, Power Electronics Specialists Conference, 1996, PESC'96 Record, 27th Annual IEEE, Volume: 1,
23-27 Jun 1996, pp664-669.
[14] Hang-Seok Choi, Kim, J.W., Cho, B.H.,Novel zero-voltage and zero-current-switching (ZVZCS) full-bridge PWM converter using coupled output inductor, Applied Power Electronics Conference and Exposition, 2001, APEC'01, Sixteenth Annual IEEE, Volume: 2, 2001, pp 967-973.
[15] Jung-Goo Cho, Ju-Won Baek, Chang-Yong Jeong, Dong-Wook Yoo; Kee-Yeon Joe, Novel zero-voltage and zero-current-switching full bridge PWM converter using transformer auxiliary winding, Power Electronics, IEEE Transactions on, Volume: 15 Issue: 2, Mar 2000, pp250-257.
[16] Hsieh, G.-C., Lai, M.-F., Wang, J.-P., Lia, M.-H., Realization study of isolated half-bridge zero voltage-switched converter, Industrial Electronics Control and Instrumentation, 1994. IECON'94, 20th International Conference on, Volume 1, 5-9 Sep 1994, pp663-668.
[17] Hamada, S., Mii, T., Shimizu, T., Nakaoka, M.,Saturable Reactor And Lossless Capacitor-assisted Zero Voltage Transition Asymmetrical PWM DC-DC Converter With High-frequency Transformer Link, Power Electronics and Variable Speed Drives, 1996, Sixth International Conference on (Conf. Publ. No. 429), 23-25 Sep 1996, pp173-178.
[18] Miftakhutdinov, R., Nemchinov, A., Meleshin, V., Fraidlin, S., Modified asymmetrical ZVS half-bridge DC-DC converter, Applied Power Electronics Conference and Exposition, 1999, APEC'99, Fourteenth Annual, Volume: 1, 14-18 Mar 1999, pp567-574.
[19] Rengang Chen, Strydom, J.T., Van Wyk, J.D., Design of planar integrated passive module for zero-voltage switched asymmetrical half bridge PWM converter, Industry Applications Conference, 2001, Thirty-Sixth IAS Annual Meeting. Conference Record of the 2001 IEEE, Volume: 4, 5-9 Oct 2001, pp2232-2237.
[20] Weiyun Chen, Peng Xu, Lee, F.C, The optimization of asymmetric half bridge converter, Applied Power Electronics Conference and Exposition, 2001, APEC'01, Sixteenth Annual IEEE, Volume: 2, 2001, pp703-707.
[21] Carli, G., Dual modulation using the half bridge with complementary control, Applied Power Electronics Conference and Exposition, 1999, APEC'99, Fourteenth Annual, Volume: 2, 14-18 Mar 1999, pp987-993.
[22] Peng Xu, Qiaoqiao Wu, Pit-Leong Wong, Lee, F.C, A novel integrated current doubler rectifier, Applied Power Electronics Conference and Exposition, 2000, APEC'00, Fifteenth Annual IEEE, Volume: 2, 2000, pp735-740.
[23] Kirchenberger, U.,Schroder, D., Comparison of multiresonant half-bridge DC-DC converters for high voltage and high output power, Industry Applications Society Annual Meeting, 1992, Conference Record of the 1992 IEEE, 4-9 Oct 1992, pp902-909.
[24] Heldwein, M.L.,Ferrari de Souza, A., Barbi, I., A primary side clamping circuit applied to the
ZVS-PWM asymmetrical half-bridge converter, Power Electronics Specialists Conference,2000. PESC'00, 2000 IEEE 31st Annual, Volume: 1, 2000, pp199-204.
[25] Korotkov, S., Meleshin, V., Miftahutdinov, R., Fraidlin, S., Soft-Switched Asymmetrical Half-bridge DC/DC Converter: Steady-State Analysis. An Analysis Of Switching Processes, Telescon'97, The Second International Telecommunications Energy Special Conference, 22-24 Apr 1997, pp177-184.
[26] Czarkowski, D., Kazimierczuk, M.K., Circuit models of PWM half-bridge DC-DC converter, Circuits and Systems, 1992, Proceedings of the 35th Midwest Symposium on, 9-12 Aug 1992,pp469-472.
[27] Yi-Hsin Leu, Chern-Lin Chen, Tso-Min Chen, Analysis and design for asymmetrical half-bridge forward mode converters, Power Electronics and Drive Systems, 2001, Proceedings, 2001 4th IEEE International Conference on, Volume: 1, 22-25 Oct 2001, pp 126-130.
[28] Korotkov, S., Fraidlin, S., Calculation of the voltage transfer ratio of the asymmetrical half-bridge DC/DC converter using transformer's windings coupling coefficients, Power Electronics Specialists Conference, 1998, PESC'98 Record. 29th Annual IEEE, Volume: 2,17-22 May 1998, pp1979-1984.
[29] Jiangtao Feng, Yuequan Hu, Wei Chen, Chau-Chun, W, ZVS analysis of asymmetrical half-bridge converter, Power Electronics Specialists Conference, 2001, PESC'2001 IEEE 32nd Annual, Volume: 1,2001, pp243-247.
[30] 柯忠伟，不对称半桥DC/DC变换器研究，浙江大学，2000，硕士论文。
[31] Krupskiy, L., Meleshin, V., Nemchinov, Unified model of the asymmetrical half-bridge converter for three important topological variations, Telecommunications Energy Conference, 1999, INTELEC'99, The 21st International, Jun 1999, pp810-818.
[32] Tolle, T., Duerbaum, T., Modelling of ZVS transitions in asymmetrical half-bridge PWM converters, Power Electronics Specialists Conference, 2001, PESC'2001 IEEE 32nd Annual, Volume: 1., 2001, pp308-313.
[33] Liang, J.H., Po-Chueh Wang, Kuo-Chien Huang, Chern-Lin Chen, Yi-Hsin Leu, Tsuo-Mim Chen, Design optimization for asymmetrical half-bridge converters, Applied Power Electronics Conference and Exposition, 2001, APEC'01, Sixteenth Annual IEEE, Volume: 2, 2001, pp697-702.
[34] Korotkov, S., Meleshin, V., Nemchinov, A., Fraidlin, S., Small-signal modeling of soft-switched asymmetrical half-bridge DC/DC converter, Applied Power Electronics Conference and Exposition, 1995. APEC'95, Conference Proceedings 1995, Tenth Annual Issue: 0, 5-9 Mar 1995, pp707-711.
[35] Sun, J., Schoneman, G.K., Jenkins, D.E, Small-signal characterization of a zero-voltage switching DC/DC converter for pulse-load applications, Power Electronics Specialists
Conference, 1999, PESC'99, 30th Annual IEEE, Volume: 1, Aug 1999, pp439-444.
[36] Abedinpour, S., Liu, R., Fasullo, G., Shenai, K., Small-signal analysis of a new asymmetrical half-bridge DC-DC converter, Power Electronics Specialists Conference, 2000, PESC'00, 2000 IEEE 31st Annual, Volume: 2, 2000, pp843-847.
[37] Korotkov, S., Miffakhutdinov, R., Nemchinov, A., Fraidlin, S., Asymmetrical half-bridge in a single stage PFC AC/DC converter, Applied Power Electronics Conference and Exposition, 1997, APEC'97 Conference Proceedings 1997, Twelfth Annual, Volume:1, 23-27 Feb 1997, pp484-488.
[38] 开关电源技术指南(上册、中册、下册)，北京奥米伽电源技术服务中心。
[39] 吴麒，自动控制原理，2000，清华大学出版社。
[40] 陈保国，庞志峰，开关电源高频变压器的设计，河北工业科技，1999年第2期，page36～42。
[41] 陆治国，电源的计算机仿真技术，2000，科学技术出版社。
[42] 韩利竹，王华，Matlab电子仿真与应用，2001，国防工业出版社。