一种复合型高功率因数整流器的设计与实现
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摘要
由于大功率场合的变频调速方案可以收到显著的节能效果,因此,大功率交流电机变频调速技术的研究已经发展成各国节能事业的主导方向之一。随着变频技术的快速发展,逆变技术、PWM调制技术等相关领域都有了长足的发展,但作为变频器输入级的高功率整流器等技术却相对发展较慢。目前,多数变频器厂商的产品中采用不控整流二重化技术,其特点是结构简单,成本低,且相对于普通的不控整流结构,其交流侧电流谐波有了明显的改善。但其缺点仍十分明显,如交流侧THD仍较高,功率因数较低等,这将直接导致电力系统中谐波与无功的增加。围绕抑制谐波电流、提高整流器的功率因数等方向,本文提出了一种新型的复合型高功率因数整流器,并从拓扑结构、控制系统等几个方面展开深入研究。
这种新型的复合型整流器拓扑结构,和传统的多重化整流器等相比,THD达到了电力系统小于5%的要求,功率因数在0.95以上,且当其作为三电平逆变器的输入级时,能够在整流侧实现NPC(中点钳位)控制功能,对改善三电平变频器的性能起着重要的作用。为了实现对拓扑结构实用性的验证,本文首先对复合型整流器主电路进行了研究,提出了基于瞬时无功功率理论的谐波检测控制策略以及滞环电流PWM调制方法。
中点电位平衡问题是影响三电平变频器性能的一个重要问题,为了实现变频器输出性能的最优,本文实现了在整流侧进行NPC(中点钳位)控制的方法。这种方法和传统的在逆变侧进行中点电位平衡控制的方法相比,减轻了逆变侧的控制负担,减小了变频器输出电压、电流谐波,提高了三电平变频器的输出性能。
最后,制作了一台以TMS320F2812为控制核心的复合型整流器低压小功率模拟实验样机,进行了实验研究工作。仿真和实验结果表明本文提出的新型复合型整流器拓扑结构及其控制策略能够实现中高压下的高功率因数和低输入电流谐波的电能变换。
In virtue of the advantage of high-power variable frequency technology which can realize a significant power-saving effect, its research has developed into one of the national leading direction of power saving. With the rapid development of variable frequency technology, the inverter technology, PWM technology, and other relevant areas also have a considerable development. But rectifier technology which serves as the input unit of the high-power converters has developed slowly. Currently, the majority products of converter manufacturers use uncontrolled 12-pulse rectifier, of which the character is simple and low cost. Compared to the regular uncontrolled rectifier, its line-side current harmonics has been noticeably reduced. Its shortcomings, however, are still evident. For example, the value of THD remains high and power factor is low, both of which can lead directly to the high harmonics of power system and increasing reactive power. In order to inhibit harmonic current and improve the power factor, this paper proposes a novel type of hybrid high power factor rectifier, and researches its topology and control strategy.
Compared to the traditional topology of multi-pulse rectifier, this novel hybrid rectifier realizes a lower THD, which is less than 5% required by the power system, and its power factor is above 0.95. Moreover, when used as an input unit of three-level converter, it can achieve the NPC (neutral-point clamp) control, which is important to improve the performance of three-level converter. To prove the practicability of the topology, the paper first analyzes the main circuit of the rectifier, and then presents a harmonic detection method based on the instantaneous reactive power theory and PWM hysteresis current control strategy.
Neutral-point potential balancing, which influences the performance of three-level converter, is also important. In order to achieve the optimal output voltage of converter, this paper presents a control strategy for the NPC on rectifier side. Compared to the traditional ones, this method alleviates the burden of control on inverter side, reduces the output voltage and current harmonics of converter and improves the performance of three-level converter.
Finally, a low voltage and low power hybrid rectifier, which is based on the control chip TMS320F2812, is designed and applied. Simulation and experiment results show that the proposed novel hybrid rectifier topology and control strategy can achieve power transformation of the high power factor and low input harmonic current under high voltage.
这种新型的复合型整流器拓扑结构,和传统的多重化整流器等相比,THD达到了电力系统小于5%的要求,功率因数在0.95以上,且当其作为三电平逆变器的输入级时,能够在整流侧实现NPC(中点钳位)控制功能,对改善三电平变频器的性能起着重要的作用。为了实现对拓扑结构实用性的验证,本文首先对复合型整流器主电路进行了研究,提出了基于瞬时无功功率理论的谐波检测控制策略以及滞环电流PWM调制方法。
中点电位平衡问题是影响三电平变频器性能的一个重要问题,为了实现变频器输出性能的最优,本文实现了在整流侧进行NPC(中点钳位)控制的方法。这种方法和传统的在逆变侧进行中点电位平衡控制的方法相比,减轻了逆变侧的控制负担,减小了变频器输出电压、电流谐波,提高了三电平变频器的输出性能。
最后,制作了一台以TMS320F2812为控制核心的复合型整流器低压小功率模拟实验样机,进行了实验研究工作。仿真和实验结果表明本文提出的新型复合型整流器拓扑结构及其控制策略能够实现中高压下的高功率因数和低输入电流谐波的电能变换。
In virtue of the advantage of high-power variable frequency technology which can realize a significant power-saving effect, its research has developed into one of the national leading direction of power saving. With the rapid development of variable frequency technology, the inverter technology, PWM technology, and other relevant areas also have a considerable development. But rectifier technology which serves as the input unit of the high-power converters has developed slowly. Currently, the majority products of converter manufacturers use uncontrolled 12-pulse rectifier, of which the character is simple and low cost. Compared to the regular uncontrolled rectifier, its line-side current harmonics has been noticeably reduced. Its shortcomings, however, are still evident. For example, the value of THD remains high and power factor is low, both of which can lead directly to the high harmonics of power system and increasing reactive power. In order to inhibit harmonic current and improve the power factor, this paper proposes a novel type of hybrid high power factor rectifier, and researches its topology and control strategy.
Compared to the traditional topology of multi-pulse rectifier, this novel hybrid rectifier realizes a lower THD, which is less than 5% required by the power system, and its power factor is above 0.95. Moreover, when used as an input unit of three-level converter, it can achieve the NPC (neutral-point clamp) control, which is important to improve the performance of three-level converter. To prove the practicability of the topology, the paper first analyzes the main circuit of the rectifier, and then presents a harmonic detection method based on the instantaneous reactive power theory and PWM hysteresis current control strategy.
Neutral-point potential balancing, which influences the performance of three-level converter, is also important. In order to achieve the optimal output voltage of converter, this paper presents a control strategy for the NPC on rectifier side. Compared to the traditional ones, this method alleviates the burden of control on inverter side, reduces the output voltage and current harmonics of converter and improves the performance of three-level converter.
Finally, a low voltage and low power hybrid rectifier, which is based on the control chip TMS320F2812, is designed and applied. Simulation and experiment results show that the proposed novel hybrid rectifier topology and control strategy can achieve power transformation of the high power factor and low input harmonic current under high voltage.
引文
1马骏.高压变频器在济钢大功率风机、泵中的应用研究.变频器世界. 2006, 11: 55~59
2徐甫荣.中高压变频器主电路拓扑结构的分析比较.电气传动自动化. 2004, 25(4): 5~12
3王兆安,扬君,刘进军.谐波抑制和无功补偿.机械工业出版社. 1998: 89~101
4翁利民,陈允平,吴轶群.配电网的谐波源特性与高次谐波的抑制.电力电容器. 2001 (4): 10~14
5吕润馀,段晓波.多脉动整流电路谐波统一分析——Y/Y或△/△和Y/△等6脉动整流单元谐波分析.河北电力技术. 2003, 22 (5):1~3
6吕润馀,段晓波.多脉动整流电路谐波统一分析——曲折绕组移相△接线方式的多脉动整流谐波分析.河北电力技术. 2003, 22(6): 1~2
7吕润馀,段晓波.多脉动整流电路谐波统一分析——12/18/24/30/36/48脉动整流系统谐波分析.河北电力技术. 2003, 22(7): 1~8
8 Mino, K. Gong, G. Kolar, J.W. Novel hybrid 12-pulse line interphase transformer boost-type rectifier with controlled output voltage. Power Electronics and Motion Control Conference, IPEMC 2004. 2004: 924~931
9 K. Mino, G. Gong, J.W. Kolar. Novel Hybrid 12-Pulse Line Interphase Transformer Boost-Type Rectifier with Controlled Output Voltage. Power Electronics and Motion Control Conference, IPEMC 2004. 2004, 924~931
10 KAZUAKI MINO, GUANGHAI GONG, JOHANN W. KOLAR. Novel Hybrid 12-Pulse Boost-Type Rectifier with Controlled Output Voltage. IEEE TRANSACTIONS ON AEROSPACE AND ELECTRONIC SYSTEMS. 2005, 41(3): 1008~1018
11 Bhim Singh, G. Bhuvaneswari, Vipin Garg. Harmonic Mitigation Using 12-Pulse AC–DC Converter in Vector-Controlled Induction Motor Drive. IEEE TRANSACTIONS ON POWER DELIVERY. 2006, 21(3): 1483~1492
12 F. Javier Chivite-Zabalza, Andrew J. Forsyth, David R. Trainer. A Simple, Passive 24-Pulse AC–DC Converter With Inherent Load Balancing. IEEE TRANSACTIONS ON POWER ELECTRONICS, 2006, 21(2)
13 J. Arrillaga, M. Villablanca, BE. 24-pulse HVDC conversion. IEE PROCEEDINGS-C, 1991, 138(1): 57~64
14 Sewan Choi, Bang Sup Lee, Prasad N. Enjeti. New 24-Pulse Diode Rectifier Systems for Utility Interface of High-Power AC Motor Drives. IEEE TRANSACTIONS ON INDUSTRY APPLICATIONS. 1997, 33(2): 531~541
15 Rendusara, D.A, Cengelci, E, Enjeti, P.N. Analysis of common mode voltage-“neutral shift”in medium voltage PWM adjustable speed drive (MV-ASD) systems. Power Electronics, IEEE Transactions on. 2000, 15(6): 1124~1133
16 Teodorescu, R, Blaabjerg, F, Pedersen, J.K. Cascade industrial VSI gives medium voltage-a case study. PWM Medium Voltage Drives, IEE Seminar. 2000: 5/1~5/4
17 Cengelci E, Enjeti P, Singh C. New medium voltage PWM inverter topologies for adjustable speed AC motor drive systems. Applied Power Electronics Conference and Exposition, 1998, 2(15): 565-571
18 Zhongyuan Cheng, Bin Wu. Dual 18-pulse rectifier for high-power multilevel inverters. Industrial Electronics Society, IECON 2005, 32nd Annual Conference of IEEE. 2005: 525~530
19 Cengelci E, Sulistijo S.U, Woo B.O. A new medium-voltage PWM inverter topology for adjustable-speed drives. Industry Applications, IEEE Transactions on. 1999, 35(3): 628-637
20 Sato, Y. Kawamura, K. Morimoto, H. Nezu, K. Hybrid PWM rectifiers to reduce electromagnetic interference. Industry Applications Conference, 37th IAS Annual Meeting. 2002: 2141~2146
21 Alves, R.L. Font, C.H.I. Barbi, I. A Novel Unidirectional Hybrid Three-Phase Rectifier System Employing Boost Topology. Power Electronics Specialists Conference, PESC '05. 2005: 487~493
22 Sewan Choi, Junyong Oh. Multi-Pulse Converters for High Voltage and High Power Applications. Power Electronics and Motion Control Conference, IPEMC 2000. 2000: 1019~1024
23 Ricardo Luiz Alves, Carlos Henrique Illa Font, Ivo Barbi. Novel Unidirectional Hybrid Three-Phase Rectifier System Employing Boost Topology. Power Electronics Specialists Conference, PESC '05. 2005: 487~493
24刘凤君.正弦波逆变器.科学出版社. 2002: 9~10
25张崇巍,张兴. PWM整流器及其控制.机械工业出版社. 2003:1~2,6~11,62~67, 78~81
26 Carlos Henrique Illa Font, Ivo Barbi. A New High Power Factor Bidirectional Hybrid Three-Phase Rectifier. Applied Power Electronics Conference and Exposition, APEC '06. 2006: 1300~1306
27 Xiaoyu Wang, Jinjun Liu, Chang Yuan. Comparative analysis of popular control schemes for parallel active power filter and experimental verification. IPEMC '06. CES/IEEE 5th International. 2006, 3:1~5
28 Guangzhu Wang, Guibin Zhang. Direct AC Main Current Control of Shunt Active Power Filters– Feasibility and Performance. Power Electronics Specialists Conference, PESC '06. 37th IEEE. 2006: 1~6
29 Hongyu Li, Fang Zhuo, Zhaoan Wang. A Novel Time-Domain Current-Detection Algorithm for Shunt Active Power Filters. IEEE TRANSACTIONS ON POWER SYSTEMS, 2005, 20(2): 644~651
30 Abdelli, Y. Machmoum, M. Coulibaly, P. A three-phase PWM rectifier with active filtering function. Power System Technology, International Conference. 2002: 485~490
31 Tatsuya Kitamura, Teruo Kataoka. Improvement of the Transient Performance of a Voltage-Type PWM Rectifier with Active Filtering Function. Power Electronics and Drives Systems, International Conference. 2005: 1267~1272
32 Cichowlas, M. Malinowski, M. Jasinski, M. Kazmierkowski, M.P. DSP based direct power control for three-phase PWM rectifier with active filtering function. Industrial Electronics, ISIE '03. IEEE International Symposium. 2003: 831~835
33 Cichowlas, M. Malinowski, M. Kazmierkowski, M.P. Blaabjerg, F. Direct power control for three-phase PWM rectifier with active filtering function. Applied Power Electronics Conference and Exposition. 2003: 913~918
34 Reyes S. Herrera, Patricio Salmeron. Instantaneous Reactive Power Theory: A Comparative Evaluation of Different Formulations. Power Delivery. 2007, 22(1). 595~604
35 S. Sujitjorn, K.-L. Areerak, T. Kulworawanichpong. The DQ Axis With Fourier (DQF) Method for Harmonic Identification. IEEE TRANSACTIONS ON POWER DELIVERY. 2007, 22(1): 737~739
36田大强,蒋平,唐国庆.有源滤波器中数字低通滤波器设计及其实现.电工电能新技术. 2003, 22(3): 77~80
37 B.N. Singh, B. Singh, A. Chandra and K. Al-Haddad. Design and digital implementation of active filter with power balance theory. Electric Power Applications, IEE Proceedings. 2005, 152(5): 1149~1160
38赵小英.基于DSP芯片的有源电力滤波器数字控制系统研究.中国科学院硕士学位论文. 2005
39杨汉生,李明,杨成梧.设计数字式巴特沃兹滤波器的新方法.电测与仪表. 2006, 43(484): 37~38
40陈立功.一种基于TMS320F2812的数字滤波器的快速设计方法.国外电子测量技术. 2005, 8(126): 12~13
41田大强,蒋平,唐国庆.有源滤波器中数字低通滤波器设计及其实现.电工电能新技术. 2003, 22(3): 77~80
42 C.H. Ng, K. Busawon, G.A. Putrus, L. Ran. Fast-individual-harmonic-extraction technique. Generation, Transmission and Distribution, IEE Proceedings. 2005, 152(4): 556~562
43 Jinn-Chang Wu, Hurng-Liahng Jou, Ya-Tsung Feng. Novel Circuit Topology for Three-Phase Active Power Filter. IEEE TRANSACTIONS ON POWER DELIVERY. 2007, 22(1): 444~449
44 Luiz Carlos Gomes de Freitas, Marcelo G. Sim?es, Carlos Alberto Canesin. Programmable PFC Based Hybrid Multipulse Power Rectifier for Ultra Clean Power Application. IEEE TRANSACTIONS ON POWER ELECTRONICS. 2006, 21, (4): 959~966
45田凯.一种新型三电平拓扑及其控制策略的研究.哈尔滨工业大学硕士学位论文. 2005: 38~39
46 Sato, Y. Kawamura, K. Morimoto, H. Nezu, K. Hybrid PWM Rectifiers to Reduce Electromagnetic Interference. Industry Applications Conference. 2002: 2141~2146
47 Reyes S. Herrera, Patricio Salmerón. Instantaneous Reactive Power Theory: A Comparative Evaluation of Different Formulations. IEEE TRANSACTIONS ON POWER DELIVERY. 2007, 22(1): 595~604
48 Guangzhu Wang, Guibin Zhang. Direct AC Main Current Control of Shunt Active Power Filters– Feasibility and Performance. Power Electronics Specialists Conference, PESC '06. 2006: 1~6
2徐甫荣.中高压变频器主电路拓扑结构的分析比较.电气传动自动化. 2004, 25(4): 5~12
3王兆安,扬君,刘进军.谐波抑制和无功补偿.机械工业出版社. 1998: 89~101
4翁利民,陈允平,吴轶群.配电网的谐波源特性与高次谐波的抑制.电力电容器. 2001 (4): 10~14
5吕润馀,段晓波.多脉动整流电路谐波统一分析——Y/Y或△/△和Y/△等6脉动整流单元谐波分析.河北电力技术. 2003, 22 (5):1~3
6吕润馀,段晓波.多脉动整流电路谐波统一分析——曲折绕组移相△接线方式的多脉动整流谐波分析.河北电力技术. 2003, 22(6): 1~2
7吕润馀,段晓波.多脉动整流电路谐波统一分析——12/18/24/30/36/48脉动整流系统谐波分析.河北电力技术. 2003, 22(7): 1~8
8 Mino, K. Gong, G. Kolar, J.W. Novel hybrid 12-pulse line interphase transformer boost-type rectifier with controlled output voltage. Power Electronics and Motion Control Conference, IPEMC 2004. 2004: 924~931
9 K. Mino, G. Gong, J.W. Kolar. Novel Hybrid 12-Pulse Line Interphase Transformer Boost-Type Rectifier with Controlled Output Voltage. Power Electronics and Motion Control Conference, IPEMC 2004. 2004, 924~931
10 KAZUAKI MINO, GUANGHAI GONG, JOHANN W. KOLAR. Novel Hybrid 12-Pulse Boost-Type Rectifier with Controlled Output Voltage. IEEE TRANSACTIONS ON AEROSPACE AND ELECTRONIC SYSTEMS. 2005, 41(3): 1008~1018
11 Bhim Singh, G. Bhuvaneswari, Vipin Garg. Harmonic Mitigation Using 12-Pulse AC–DC Converter in Vector-Controlled Induction Motor Drive. IEEE TRANSACTIONS ON POWER DELIVERY. 2006, 21(3): 1483~1492
12 F. Javier Chivite-Zabalza, Andrew J. Forsyth, David R. Trainer. A Simple, Passive 24-Pulse AC–DC Converter With Inherent Load Balancing. IEEE TRANSACTIONS ON POWER ELECTRONICS, 2006, 21(2)
13 J. Arrillaga, M. Villablanca, BE. 24-pulse HVDC conversion. IEE PROCEEDINGS-C, 1991, 138(1): 57~64
14 Sewan Choi, Bang Sup Lee, Prasad N. Enjeti. New 24-Pulse Diode Rectifier Systems for Utility Interface of High-Power AC Motor Drives. IEEE TRANSACTIONS ON INDUSTRY APPLICATIONS. 1997, 33(2): 531~541
15 Rendusara, D.A, Cengelci, E, Enjeti, P.N. Analysis of common mode voltage-“neutral shift”in medium voltage PWM adjustable speed drive (MV-ASD) systems. Power Electronics, IEEE Transactions on. 2000, 15(6): 1124~1133
16 Teodorescu, R, Blaabjerg, F, Pedersen, J.K. Cascade industrial VSI gives medium voltage-a case study. PWM Medium Voltage Drives, IEE Seminar. 2000: 5/1~5/4
17 Cengelci E, Enjeti P, Singh C. New medium voltage PWM inverter topologies for adjustable speed AC motor drive systems. Applied Power Electronics Conference and Exposition, 1998, 2(15): 565-571
18 Zhongyuan Cheng, Bin Wu. Dual 18-pulse rectifier for high-power multilevel inverters. Industrial Electronics Society, IECON 2005, 32nd Annual Conference of IEEE. 2005: 525~530
19 Cengelci E, Sulistijo S.U, Woo B.O. A new medium-voltage PWM inverter topology for adjustable-speed drives. Industry Applications, IEEE Transactions on. 1999, 35(3): 628-637
20 Sato, Y. Kawamura, K. Morimoto, H. Nezu, K. Hybrid PWM rectifiers to reduce electromagnetic interference. Industry Applications Conference, 37th IAS Annual Meeting. 2002: 2141~2146
21 Alves, R.L. Font, C.H.I. Barbi, I. A Novel Unidirectional Hybrid Three-Phase Rectifier System Employing Boost Topology. Power Electronics Specialists Conference, PESC '05. 2005: 487~493
22 Sewan Choi, Junyong Oh. Multi-Pulse Converters for High Voltage and High Power Applications. Power Electronics and Motion Control Conference, IPEMC 2000. 2000: 1019~1024
23 Ricardo Luiz Alves, Carlos Henrique Illa Font, Ivo Barbi. Novel Unidirectional Hybrid Three-Phase Rectifier System Employing Boost Topology. Power Electronics Specialists Conference, PESC '05. 2005: 487~493
24刘凤君.正弦波逆变器.科学出版社. 2002: 9~10
25张崇巍,张兴. PWM整流器及其控制.机械工业出版社. 2003:1~2,6~11,62~67, 78~81
26 Carlos Henrique Illa Font, Ivo Barbi. A New High Power Factor Bidirectional Hybrid Three-Phase Rectifier. Applied Power Electronics Conference and Exposition, APEC '06. 2006: 1300~1306
27 Xiaoyu Wang, Jinjun Liu, Chang Yuan. Comparative analysis of popular control schemes for parallel active power filter and experimental verification. IPEMC '06. CES/IEEE 5th International. 2006, 3:1~5
28 Guangzhu Wang, Guibin Zhang. Direct AC Main Current Control of Shunt Active Power Filters– Feasibility and Performance. Power Electronics Specialists Conference, PESC '06. 37th IEEE. 2006: 1~6
29 Hongyu Li, Fang Zhuo, Zhaoan Wang. A Novel Time-Domain Current-Detection Algorithm for Shunt Active Power Filters. IEEE TRANSACTIONS ON POWER SYSTEMS, 2005, 20(2): 644~651
30 Abdelli, Y. Machmoum, M. Coulibaly, P. A three-phase PWM rectifier with active filtering function. Power System Technology, International Conference. 2002: 485~490
31 Tatsuya Kitamura, Teruo Kataoka. Improvement of the Transient Performance of a Voltage-Type PWM Rectifier with Active Filtering Function. Power Electronics and Drives Systems, International Conference. 2005: 1267~1272
32 Cichowlas, M. Malinowski, M. Jasinski, M. Kazmierkowski, M.P. DSP based direct power control for three-phase PWM rectifier with active filtering function. Industrial Electronics, ISIE '03. IEEE International Symposium. 2003: 831~835
33 Cichowlas, M. Malinowski, M. Kazmierkowski, M.P. Blaabjerg, F. Direct power control for three-phase PWM rectifier with active filtering function. Applied Power Electronics Conference and Exposition. 2003: 913~918
34 Reyes S. Herrera, Patricio Salmeron. Instantaneous Reactive Power Theory: A Comparative Evaluation of Different Formulations. Power Delivery. 2007, 22(1). 595~604
35 S. Sujitjorn, K.-L. Areerak, T. Kulworawanichpong. The DQ Axis With Fourier (DQF) Method for Harmonic Identification. IEEE TRANSACTIONS ON POWER DELIVERY. 2007, 22(1): 737~739
36田大强,蒋平,唐国庆.有源滤波器中数字低通滤波器设计及其实现.电工电能新技术. 2003, 22(3): 77~80
37 B.N. Singh, B. Singh, A. Chandra and K. Al-Haddad. Design and digital implementation of active filter with power balance theory. Electric Power Applications, IEE Proceedings. 2005, 152(5): 1149~1160
38赵小英.基于DSP芯片的有源电力滤波器数字控制系统研究.中国科学院硕士学位论文. 2005
39杨汉生,李明,杨成梧.设计数字式巴特沃兹滤波器的新方法.电测与仪表. 2006, 43(484): 37~38
40陈立功.一种基于TMS320F2812的数字滤波器的快速设计方法.国外电子测量技术. 2005, 8(126): 12~13
41田大强,蒋平,唐国庆.有源滤波器中数字低通滤波器设计及其实现.电工电能新技术. 2003, 22(3): 77~80
42 C.H. Ng, K. Busawon, G.A. Putrus, L. Ran. Fast-individual-harmonic-extraction technique. Generation, Transmission and Distribution, IEE Proceedings. 2005, 152(4): 556~562
43 Jinn-Chang Wu, Hurng-Liahng Jou, Ya-Tsung Feng. Novel Circuit Topology for Three-Phase Active Power Filter. IEEE TRANSACTIONS ON POWER DELIVERY. 2007, 22(1): 444~449
44 Luiz Carlos Gomes de Freitas, Marcelo G. Sim?es, Carlos Alberto Canesin. Programmable PFC Based Hybrid Multipulse Power Rectifier for Ultra Clean Power Application. IEEE TRANSACTIONS ON POWER ELECTRONICS. 2006, 21, (4): 959~966
45田凯.一种新型三电平拓扑及其控制策略的研究.哈尔滨工业大学硕士学位论文. 2005: 38~39
46 Sato, Y. Kawamura, K. Morimoto, H. Nezu, K. Hybrid PWM Rectifiers to Reduce Electromagnetic Interference. Industry Applications Conference. 2002: 2141~2146
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