航空变频电网功率因数校正技术研究
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摘要
变频电源系统是未来飞机电源系统的发展方向之一,随着现代航空电网性能要求的进一步提高,机载电子设备的广泛应用,谐波对航空电网的污染也越来越严重。不同于民用电网,变频航空电网因具有独立小容量、电源内阻抗大、电网频率较高等特征,使其在三相PWM整流器技术上具有特殊性,系统应具有快速的电流跟踪性能。
本文首先分析了PWM变换器的工作原理,分别在三相静止坐标系、两相静止坐标系和两相旋转坐标系中建立了低频和高频数学模型,并在dq坐标系中给出了解耦控制的数学模型;为抑制输出直流电压波动,提高系统动态性能,给出了一种优化的负载电流前馈补偿控制策略,有效地改善了系统对输入电压突变和负载突变的响应特性;深入分析了影响输出电压动态响应的主要因素,研究给出了基于系统小信号平均模型前馈补偿控制器的设计原则和方法;采用电压空间矢量PWM(Space Vector PWM, SVPWM)调制方法,以获得网侧低电流谐波,提高直流侧电压利用率;为验证原理分析,设计了基于DSP2812的硬件实验系统,介绍了硬件系统的电感、电容的参数设计和软件实现过程,针对不同电网频率条件下,在实验样机上进行了实验,得到了一些实验数据和波形,验证了三相PWM整流器应用于航空变频电网的可行性和正确性。
Currently for the generation of constant frequency AC voltages will be replaced in future by less complex lighter variable speed generators in combination with power electronics. With the increasing requirements of performance for the modern aircraft, more and more electronic equipments are applied. The AC power utility in aircraft is affected seriously by harmonics. There are some characteristics in the AC power utility: independent lower capacity system, larger inner impedance, etc. The three-phase PWM rectifier techniques for aircraft AC power utility are unique, the good current track performance is required.
First of all, the theory of PWM rectifier was introduced in details, constructing the high and low-frequency mathematical model are set up in ABC coordinate,α-βcoordinate and d-q coordinate respectively, decoupled its mathematical model in the dq reference frame. In order to restrain dc-bus voltage fluctuation and improve system dynamic characteristics, an optimum feedforward control strategy is proposed, and the system response performance to stepping input voltage and stepping load are improved greatly. The key issues which hurt the output voltage transient are analyzed in detail. The design rule for the feedforward compensation controller is developed based on the averaged small-signal model. The SVPWM is employed to achieve low harmonic distortion and raise the utilizable ratio at DC side. To verify the validity of the proposed method, the hardware system was designed on the basis of TMS320F2812 and parameters design of inductance and capacitance was presented. The experimental results are received under the different conditions. The feasibility and validity of the three-phase PWM for Aircraft Variety-Frequency Electrical Systems are proved.
本文首先分析了PWM变换器的工作原理,分别在三相静止坐标系、两相静止坐标系和两相旋转坐标系中建立了低频和高频数学模型,并在dq坐标系中给出了解耦控制的数学模型;为抑制输出直流电压波动,提高系统动态性能,给出了一种优化的负载电流前馈补偿控制策略,有效地改善了系统对输入电压突变和负载突变的响应特性;深入分析了影响输出电压动态响应的主要因素,研究给出了基于系统小信号平均模型前馈补偿控制器的设计原则和方法;采用电压空间矢量PWM(Space Vector PWM, SVPWM)调制方法,以获得网侧低电流谐波,提高直流侧电压利用率;为验证原理分析,设计了基于DSP2812的硬件实验系统,介绍了硬件系统的电感、电容的参数设计和软件实现过程,针对不同电网频率条件下,在实验样机上进行了实验,得到了一些实验数据和波形,验证了三相PWM整流器应用于航空变频电网的可行性和正确性。
Currently for the generation of constant frequency AC voltages will be replaced in future by less complex lighter variable speed generators in combination with power electronics. With the increasing requirements of performance for the modern aircraft, more and more electronic equipments are applied. The AC power utility in aircraft is affected seriously by harmonics. There are some characteristics in the AC power utility: independent lower capacity system, larger inner impedance, etc. The three-phase PWM rectifier techniques for aircraft AC power utility are unique, the good current track performance is required.
First of all, the theory of PWM rectifier was introduced in details, constructing the high and low-frequency mathematical model are set up in ABC coordinate,α-βcoordinate and d-q coordinate respectively, decoupled its mathematical model in the dq reference frame. In order to restrain dc-bus voltage fluctuation and improve system dynamic characteristics, an optimum feedforward control strategy is proposed, and the system response performance to stepping input voltage and stepping load are improved greatly. The key issues which hurt the output voltage transient are analyzed in detail. The design rule for the feedforward compensation controller is developed based on the averaged small-signal model. The SVPWM is employed to achieve low harmonic distortion and raise the utilizable ratio at DC side. To verify the validity of the proposed method, the hardware system was designed on the basis of TMS320F2812 and parameters design of inductance and capacitance was presented. The experimental results are received under the different conditions. The feasibility and validity of the three-phase PWM for Aircraft Variety-Frequency Electrical Systems are proved.
引文
[1]曲小慧.基于航空交流电网的单相PFC技术的研究,[硕士学位论文].南京,南京航空航天大学,2006.
[2] Rosero J A, Ortega J A, Aldabas E, etal. Moving Towards a More Electric Aircraft. IEEE Aerospace and Electronic Systems Magazine, 2007, 22(3): 3-9.
[3] Emadi A, Ehsani M. Aircraft Power Systems: Technology, State of the Art, and Future Trends. IEEE Aerospace and Electronic Systems Magazine, 2000, 15(1): 28-32.
[4]田永堂,邓健.变频电源系统应用的研究.飞机工程, 2006, 1: 71-73.
[5] RTCA DO-160D, Environmental conditions and test procedures for airborne equipment, Section 16,Issue5,May 2000.
[6]冯斌.波音787的新技术.工程与应用, 2005, 5: 37-39.
[7] Athalye P, Maksimovic D, Erickson R. High-Performance Front-End Converter for Avionics Applications. IEEE Transactions on Aerospace and Electronic Systems, 2003, 39(2): 462-470.
[8]方宇.高功率因数可逆PWM变换器及其数字控制研究,[博士学位论文].南京,南京航空航天大学博士论文,2008.
[9]王兆安,杨君,刘进军.谐波抑制和无功功率补偿.北京:机械工业出版社, 1998.
[10] Kun-Ping Lin, Ming-Hoon Lin. An advanced computer code for single-tuned harmonic filter design. IEEE Transactions on Industry Applications, 1998, 34(4): 640-648.
[11] Venturini R P, Mattavelli P, Zanchetta P. Variable frequency adaptive selective compensation for active power filters. 4th IET International Conference on PEMD, 2008: 16-21.
[12] Mohamad Taha. Active rectifier using DQ vector control for aircraft power system. in Proc. IEEE IEMDC, 2007: 1306-1310.
[13]陈东华.有源滤波应用于飞机交流电源系统的关键技术研究,[博士学位论文].南京,南京航空航天大学博士论文,2007.
[14] Jian Sun, Zhonghui Bing, Kamiar J Ki. Small-Signal Modeling of Multipulse Rectifiers for More-Electric Aircraft Applications. in Proc. IEEE PESC, 2008: 302-308.
[15] Mino K, Gong G, Kolar J W. Novel Hybrid 12-Pulse Boost-Type Rectifier with Controlled Output Voltage. IEEE Transactions on Aerospace and Electronic Systems, 2005, 41(3): 1008-1018.
[16] Jian Sun, Min Chen, Karimi K J. Aircraft power system harmonics involving single-phase PFC converters. IEEE Transactions on Aerospace and Electronic Systems, 2008, 46(1): 217-226.
[17] Chattopadhyay S, Ramanarayanan V. Digital Implementation of a Line Current Shaping Algorithm for Three Phase High Power Factor Boost Rectifier Without Input Voltage Sensing. IEEE Transactions on Power Electronics, 2004, 19(3): 709-713.
[18] Gong G, Heldwein M L, Drofenik U, etal. Comparative Evaluation of Three-Phase High Power Factor AC-DC Converter Concepts for Application in Future More Electric Aircrafts. in Proc. IEEE APEC, 2004: 1152-1159.
[19] Singh B, Singh B N, Chandra A, etal. A Review of Three-Phase Improved Power Quality AC-DC Converters. IEEE Transactions on Industrial Electronics, 2004, 51(3): 641-660.
[20] Kwak S, Toliyat H A, Design and Rating Comparisons of PWM Voltage Source Rectifiers and Active Power Filters for AC Drives With Unity Power Factor. IEEE Transactions on Power Electronics, 2005, 20(5): 1133-1142.
[21] Busse Alfred, Holtz Joachim. Multiloop control of a unity power factor fast switching AC to DC converter. in Proc. IEEE PESC, 1982: 171-179.
[22] Akagi Hirofumi, Kanazawa Yoshihira, Nabae Akira. Instantaneous Reactive Power Compensators Comprising Switching Devices without Energy Storage Components. IEEE Transactions on Industry Applications, 1984, IA-20(3): 625-630.
[23] Green A W, Boys J T, Gates G F. 3-phase voltage sourced reversible rectifier. in Proc. IEEE Transactions on Electric Power Applications, 1988, 135(6): 362-370.
[24] Dafeng Wang, Yuvarajan S. Constant-Switching-frequency AC-DC Converter Using Second-Harmonic-Injected PWM. IEEE Transactions on Power Electronies, 1996, 11(1): 115-121.
[25] Ming-Tsung Tsai, Tsai W I. Analysis and Design of Three-Phase AC-to-DC Converters With High Power Factor and Near-Optimum Feedforward. IEEE Transactions on Industrial Electronics, 1999, 46(3): 53-543.
[26] Wu R, Dewan S B, Slemon G R. A PWM AC-to-DC converter with fixed switching frequency. IEEE Transactions on Industry Applications, 1990, 26(5): 880-885,
[27] Rim C T, Hu D Y, Cho G H. Transformers as equivalent circuits for switches: General Proofs and D-Q Transformation-Based Analyses. IEEE Transactions on Industry Applications, 1990, 26(4): 777-785.
[28] Heng chun Mao, Boroyerieh D, Fred C Y Lee. Novel reduced-order small signal model of a three-Phase PWM rectifier and its application in control design and system analysis. IEEE Transactions on Power Electronies, 1998, 13(3): 511-521.
[29] Sebastian J, Martinez J A. Voltage-Follower Control in Zero-Current-Switched quasi- Resonant Power Factor Preregulator. IEEE Transactions on Power Electronics, 1998, 13(4): 727-734.
[30] Dixon J W, 0oi B T. Indirect current control of a unity power factor sinusoidal current boost type three-phase rectifier. IEEE Transactions on Power Electronics, 1998, 35(4): 508-515.
[31]王英,张纯江,陈辉明.三相PWM整流器新型相位幅值控制数学模型及其控制策略.中国电机工程学报. 2003, 23(11): 85-89.
[32]徐小品.三相PWM整流器研究,[硕士学位论文].杭州,浙江大学,2004.
[33] Bong-Hwan Kwon, Byung-Duk Min, Jang-Hyoun Youm, An Improved Space-Vector- Based Hysteresis Current Controller, IEEE Transactions on Industrial Electronics, 1998, 45(5): 752-760.
[34] Tilli A, Tonielli A. Sequential Design of Hysteresis Current Controller for Three-Phase Inverter, IEEE Transactions on Industrial Electronics, 1998, 45(5): 771~781.
[35]方宇,裘迅,邢岩等.基于预测电流控制的三相高功率因数PWM整流器研究.中国电机工程学报. 2006,26(20): 69-73.
[36] Dong-Choon Lee, Ki-Do Lee. DC-Bus Voltage Control of Three-Phase AC/DC PWM Converters Using Feedback Linearization. IEEE Transactions on Industry Applications, 2000, 36(3): 826-833.
[37]邓卫华,张波,丘东元等.三相电压型PWM整流器状态反馈精确线性化解耦控制研究.中国电机工程学报. 2005, 25(7): 97-103.
[38] Wu X H, Panda S K, Xu J X. DC Link Voltage and Supply-Side Current Harmonics Minimization of Three Phase PWM Boost Rectifiers Using Frequency Domain Based Repetitive Current Controllers. IEEE Transactions on Power Electronics, 2008, 23(4): 1987-1997.
[39] Chongming Qiao, Smedley K M. Three-Phase Unity-Power-Factor Star-Connected Switch (VIENNA) Rectifier With Unified Constant-Frequency Integration Control. IEEE Transactions on Power Electronics, 2003, 18(4): 952-957.
[40] Nussbaumer T, Johann W K. Comparison of 3-Phase Wide Output Voltage Range PWM Rectifiers. IEEE Transactions on Industrial Electronics, 2007, 54(6): 3422-3425.
[41]钱照明,何湘宁.电力电子技术及其应用的最新发展.中国电机工程学报. 1997(17): 361-366.
[42] Chattopadhyay S, Ramanarayanan V. Digital Implementation of a Line Current Shaping Algorithm for Three Phase High Power Factor Boost Rectifier Without Input Voltage Sensing. IEEE Transactions on Power Electronics, 2004, 19(3): 709-713.
[43] Neacsu Dorin O, Edward Wagner, Borowy B S. A Simulation Benchmark for Selection of the PWM Algorithms for Three-Phase Interleaved Converters. IEEE Transactions on Industrial Electronics, 2008, 55(4): 1628-1636.
[44] Mao H C, Boroyevich D, Hiti S. Review of High-Performance Three-Phase Power-Factor Correction Circuits. IEEE Transactions on Industrial Electronics, 1997, 44(4): 437-446.
[45]冯波.软开关功率因数校正技术研究,[博士学位论文].杭州,浙江大学,2004.
[46] Wu R, Dewan S B. Analysis of an Ac to Dc Voltage Source Converter Using PWM with Phase and Amplitude Control. IEEE Transactions on Industrial Electronics, 1991, 27(2): 355-364.
[47]张兴. PWM整流器及其控制策略的研究,[博士学位论文].合肥,合肥工业大学,2003.
[48]接峰.三相PWM整流器及其控制,[硕士学位论文].杭州,浙江大学,2006.
[49]王儒.三相可逆PWM变换器研究,[硕士学位论文].南京,南京航空航天大学,2008.
[50]帅定新,谢运祥,王晓刚.三相PWM整流器混合非线性控制研究.中国电机工程学报. 2009, 29(12): 30-35.
[51]刘桂花,王卫,徐殿国.具有快速动态响应的数字功率因数校正算法.中国电机工程学报. 2009, 29(12): 10-15.
[52] Malinowski M, Jasin M, Kazmierkowski Marian P. Simple Direct Power Control of Three-Phase PWM Rectifier Using Space-Vector Modulation (DPC-SVM). IEEE Transactions on Industrial Electronics, 2004, 51(2): 447-454.
[53] Tsai M T, Tsai W I. Analysis and Design of Three-Phase AC-to-DC Converters With High Power Factor and Near-Optimum Feedforward. IEEE Transactions on Industrial Electronics, 1999, 46(3): 535-543.
[54] Hou C C, Cheng P T, Bhattacharya S, etal. Modeling and Control of Three-Phase Active front-end Converters. in Proc. IEEE IECON 2007: 1449-1454.
[55]李时杰,李耀华,陈睿.背靠背变流系统中优化前馈控制策略的研究.中国电机工程学报. 2006, 26(22): 74-79.
[56]陈伯时.电力拖动自动控制系统.北京:机械工业出版社,1999: 56-72.
[57] Lopez O, Jacobo A, Freijedo F D. Multilevel Multiphase Space Vector PWM Algorithm. IEEE Transactions on Industrial Electronics, 2008, 55(5): 1933-19423.
[58] Zeliang Shu, Jian Tang, Yuhua Guo, etal. An Efficient SVPWM Algorithm With LowComputational Overhead for Three-Phase Inverters. IEEE Transactions on Power Electronics, 2007, 22(5): 1797-1805.
[2] Rosero J A, Ortega J A, Aldabas E, etal. Moving Towards a More Electric Aircraft. IEEE Aerospace and Electronic Systems Magazine, 2007, 22(3): 3-9.
[3] Emadi A, Ehsani M. Aircraft Power Systems: Technology, State of the Art, and Future Trends. IEEE Aerospace and Electronic Systems Magazine, 2000, 15(1): 28-32.
[4]田永堂,邓健.变频电源系统应用的研究.飞机工程, 2006, 1: 71-73.
[5] RTCA DO-160D, Environmental conditions and test procedures for airborne equipment, Section 16,Issue5,May 2000.
[6]冯斌.波音787的新技术.工程与应用, 2005, 5: 37-39.
[7] Athalye P, Maksimovic D, Erickson R. High-Performance Front-End Converter for Avionics Applications. IEEE Transactions on Aerospace and Electronic Systems, 2003, 39(2): 462-470.
[8]方宇.高功率因数可逆PWM变换器及其数字控制研究,[博士学位论文].南京,南京航空航天大学博士论文,2008.
[9]王兆安,杨君,刘进军.谐波抑制和无功功率补偿.北京:机械工业出版社, 1998.
[10] Kun-Ping Lin, Ming-Hoon Lin. An advanced computer code for single-tuned harmonic filter design. IEEE Transactions on Industry Applications, 1998, 34(4): 640-648.
[11] Venturini R P, Mattavelli P, Zanchetta P. Variable frequency adaptive selective compensation for active power filters. 4th IET International Conference on PEMD, 2008: 16-21.
[12] Mohamad Taha. Active rectifier using DQ vector control for aircraft power system. in Proc. IEEE IEMDC, 2007: 1306-1310.
[13]陈东华.有源滤波应用于飞机交流电源系统的关键技术研究,[博士学位论文].南京,南京航空航天大学博士论文,2007.
[14] Jian Sun, Zhonghui Bing, Kamiar J Ki. Small-Signal Modeling of Multipulse Rectifiers for More-Electric Aircraft Applications. in Proc. IEEE PESC, 2008: 302-308.
[15] Mino K, Gong G, Kolar J W. Novel Hybrid 12-Pulse Boost-Type Rectifier with Controlled Output Voltage. IEEE Transactions on Aerospace and Electronic Systems, 2005, 41(3): 1008-1018.
[16] Jian Sun, Min Chen, Karimi K J. Aircraft power system harmonics involving single-phase PFC converters. IEEE Transactions on Aerospace and Electronic Systems, 2008, 46(1): 217-226.
[17] Chattopadhyay S, Ramanarayanan V. Digital Implementation of a Line Current Shaping Algorithm for Three Phase High Power Factor Boost Rectifier Without Input Voltage Sensing. IEEE Transactions on Power Electronics, 2004, 19(3): 709-713.
[18] Gong G, Heldwein M L, Drofenik U, etal. Comparative Evaluation of Three-Phase High Power Factor AC-DC Converter Concepts for Application in Future More Electric Aircrafts. in Proc. IEEE APEC, 2004: 1152-1159.
[19] Singh B, Singh B N, Chandra A, etal. A Review of Three-Phase Improved Power Quality AC-DC Converters. IEEE Transactions on Industrial Electronics, 2004, 51(3): 641-660.
[20] Kwak S, Toliyat H A, Design and Rating Comparisons of PWM Voltage Source Rectifiers and Active Power Filters for AC Drives With Unity Power Factor. IEEE Transactions on Power Electronics, 2005, 20(5): 1133-1142.
[21] Busse Alfred, Holtz Joachim. Multiloop control of a unity power factor fast switching AC to DC converter. in Proc. IEEE PESC, 1982: 171-179.
[22] Akagi Hirofumi, Kanazawa Yoshihira, Nabae Akira. Instantaneous Reactive Power Compensators Comprising Switching Devices without Energy Storage Components. IEEE Transactions on Industry Applications, 1984, IA-20(3): 625-630.
[23] Green A W, Boys J T, Gates G F. 3-phase voltage sourced reversible rectifier. in Proc. IEEE Transactions on Electric Power Applications, 1988, 135(6): 362-370.
[24] Dafeng Wang, Yuvarajan S. Constant-Switching-frequency AC-DC Converter Using Second-Harmonic-Injected PWM. IEEE Transactions on Power Electronies, 1996, 11(1): 115-121.
[25] Ming-Tsung Tsai, Tsai W I. Analysis and Design of Three-Phase AC-to-DC Converters With High Power Factor and Near-Optimum Feedforward. IEEE Transactions on Industrial Electronics, 1999, 46(3): 53-543.
[26] Wu R, Dewan S B, Slemon G R. A PWM AC-to-DC converter with fixed switching frequency. IEEE Transactions on Industry Applications, 1990, 26(5): 880-885,
[27] Rim C T, Hu D Y, Cho G H. Transformers as equivalent circuits for switches: General Proofs and D-Q Transformation-Based Analyses. IEEE Transactions on Industry Applications, 1990, 26(4): 777-785.
[28] Heng chun Mao, Boroyerieh D, Fred C Y Lee. Novel reduced-order small signal model of a three-Phase PWM rectifier and its application in control design and system analysis. IEEE Transactions on Power Electronies, 1998, 13(3): 511-521.
[29] Sebastian J, Martinez J A. Voltage-Follower Control in Zero-Current-Switched quasi- Resonant Power Factor Preregulator. IEEE Transactions on Power Electronics, 1998, 13(4): 727-734.
[30] Dixon J W, 0oi B T. Indirect current control of a unity power factor sinusoidal current boost type three-phase rectifier. IEEE Transactions on Power Electronics, 1998, 35(4): 508-515.
[31]王英,张纯江,陈辉明.三相PWM整流器新型相位幅值控制数学模型及其控制策略.中国电机工程学报. 2003, 23(11): 85-89.
[32]徐小品.三相PWM整流器研究,[硕士学位论文].杭州,浙江大学,2004.
[33] Bong-Hwan Kwon, Byung-Duk Min, Jang-Hyoun Youm, An Improved Space-Vector- Based Hysteresis Current Controller, IEEE Transactions on Industrial Electronics, 1998, 45(5): 752-760.
[34] Tilli A, Tonielli A. Sequential Design of Hysteresis Current Controller for Three-Phase Inverter, IEEE Transactions on Industrial Electronics, 1998, 45(5): 771~781.
[35]方宇,裘迅,邢岩等.基于预测电流控制的三相高功率因数PWM整流器研究.中国电机工程学报. 2006,26(20): 69-73.
[36] Dong-Choon Lee, Ki-Do Lee. DC-Bus Voltage Control of Three-Phase AC/DC PWM Converters Using Feedback Linearization. IEEE Transactions on Industry Applications, 2000, 36(3): 826-833.
[37]邓卫华,张波,丘东元等.三相电压型PWM整流器状态反馈精确线性化解耦控制研究.中国电机工程学报. 2005, 25(7): 97-103.
[38] Wu X H, Panda S K, Xu J X. DC Link Voltage and Supply-Side Current Harmonics Minimization of Three Phase PWM Boost Rectifiers Using Frequency Domain Based Repetitive Current Controllers. IEEE Transactions on Power Electronics, 2008, 23(4): 1987-1997.
[39] Chongming Qiao, Smedley K M. Three-Phase Unity-Power-Factor Star-Connected Switch (VIENNA) Rectifier With Unified Constant-Frequency Integration Control. IEEE Transactions on Power Electronics, 2003, 18(4): 952-957.
[40] Nussbaumer T, Johann W K. Comparison of 3-Phase Wide Output Voltage Range PWM Rectifiers. IEEE Transactions on Industrial Electronics, 2007, 54(6): 3422-3425.
[41]钱照明,何湘宁.电力电子技术及其应用的最新发展.中国电机工程学报. 1997(17): 361-366.
[42] Chattopadhyay S, Ramanarayanan V. Digital Implementation of a Line Current Shaping Algorithm for Three Phase High Power Factor Boost Rectifier Without Input Voltage Sensing. IEEE Transactions on Power Electronics, 2004, 19(3): 709-713.
[43] Neacsu Dorin O, Edward Wagner, Borowy B S. A Simulation Benchmark for Selection of the PWM Algorithms for Three-Phase Interleaved Converters. IEEE Transactions on Industrial Electronics, 2008, 55(4): 1628-1636.
[44] Mao H C, Boroyevich D, Hiti S. Review of High-Performance Three-Phase Power-Factor Correction Circuits. IEEE Transactions on Industrial Electronics, 1997, 44(4): 437-446.
[45]冯波.软开关功率因数校正技术研究,[博士学位论文].杭州,浙江大学,2004.
[46] Wu R, Dewan S B. Analysis of an Ac to Dc Voltage Source Converter Using PWM with Phase and Amplitude Control. IEEE Transactions on Industrial Electronics, 1991, 27(2): 355-364.
[47]张兴. PWM整流器及其控制策略的研究,[博士学位论文].合肥,合肥工业大学,2003.
[48]接峰.三相PWM整流器及其控制,[硕士学位论文].杭州,浙江大学,2006.
[49]王儒.三相可逆PWM变换器研究,[硕士学位论文].南京,南京航空航天大学,2008.
[50]帅定新,谢运祥,王晓刚.三相PWM整流器混合非线性控制研究.中国电机工程学报. 2009, 29(12): 30-35.
[51]刘桂花,王卫,徐殿国.具有快速动态响应的数字功率因数校正算法.中国电机工程学报. 2009, 29(12): 10-15.
[52] Malinowski M, Jasin M, Kazmierkowski Marian P. Simple Direct Power Control of Three-Phase PWM Rectifier Using Space-Vector Modulation (DPC-SVM). IEEE Transactions on Industrial Electronics, 2004, 51(2): 447-454.
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