单相逆变器无连线并联技术研究
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摘要
逆变器的并联运行有利于提高电源系统的可靠性和容量,无信号连接线的逆变器并联系统与有信号连接线的逆变器并联系统相比又具有位置摆放更方便、并联时接线少、冗余度高等优点,是当今电力电子学科研究的一个热点。
本文详细介绍了逆变器电流内环电压外环双环控制器参数的设计方法,接着介绍了现有的逆变器无连线并联技术(主要是PQ下垂控制法)的原理,给出了不同条件下的均流控制方程,从理论上分析了逆变器与负载间连线阻抗存在差异时逆变器输出电流的均分情况,并进行了仿真验证。为了降低连线阻抗差异对功率均分的影响,本文介绍了两种改进的PQ下垂控制法:输出阻抗调整法和谐波注入法。并提出了一种改进的均流控制方法:PQ系数调整法,对这种新方法进行了仿真和实验验证。由于上面分析的均流控制法只能控制交流环流,为消除直流环流,本文设计了一个“直流环流消除器”,仿真和实验结果都证实了该直流环流消除器能有效抑制直流环流。
其次,本文建立了基于下垂控制法的逆变器无连线并联系统的小信号模型,利用该模型分析了下垂系数对并联系统稳定性的影响,并选取了合适的下垂系数。
最后,实验结果证实了理论分析,验证了基于小信号模型的下垂系数设计方法的可行性及改进的均流控制方法能有效提高均流度。
In order to ensure redundancy, expandability and good reliability of a power supply system, a parallel-inverter power supply system is required. Generally, there are two kinds of parallel-inverter power supply system: parallel-inverter system with control interconnections and parallel-inverter system without control interconnections. As the latter is more flexible and easier to expand, it is studied more and more nowadays.In this thesis, an inverter controller composed of voltage-loop and current-loop was introduced, then the principle of power distribution (P-Q droop method) was analyzed and the function to control the output power was presented. Influence of cable impedance's deviation on the power distribution was studied in theory and validated by simulation. In order to weaken this influence, two improved droop method, harmonic injection method and output impedance regulation method, was introduced. And a novel improved droop method, P-Q droop coefficient regulation method, was proposed. Simulation results validated this proposed method. As methods mentioned above could only distribute Alternating Current, a DC circum current attenuator was designed.In the following part of this paper, a generalized small-signal model for parallel-inverter power supply system was presented. With the small-signal model, the stability of the system could be studied and the droop coefficients be chosen properly.Finally, experiment results were showed, which proved what had studied in theory and in simulation.
本文详细介绍了逆变器电流内环电压外环双环控制器参数的设计方法,接着介绍了现有的逆变器无连线并联技术(主要是PQ下垂控制法)的原理,给出了不同条件下的均流控制方程,从理论上分析了逆变器与负载间连线阻抗存在差异时逆变器输出电流的均分情况,并进行了仿真验证。为了降低连线阻抗差异对功率均分的影响,本文介绍了两种改进的PQ下垂控制法:输出阻抗调整法和谐波注入法。并提出了一种改进的均流控制方法:PQ系数调整法,对这种新方法进行了仿真和实验验证。由于上面分析的均流控制法只能控制交流环流,为消除直流环流,本文设计了一个“直流环流消除器”,仿真和实验结果都证实了该直流环流消除器能有效抑制直流环流。
其次,本文建立了基于下垂控制法的逆变器无连线并联系统的小信号模型,利用该模型分析了下垂系数对并联系统稳定性的影响,并选取了合适的下垂系数。
最后,实验结果证实了理论分析,验证了基于小信号模型的下垂系数设计方法的可行性及改进的均流控制方法能有效提高均流度。
In order to ensure redundancy, expandability and good reliability of a power supply system, a parallel-inverter power supply system is required. Generally, there are two kinds of parallel-inverter power supply system: parallel-inverter system with control interconnections and parallel-inverter system without control interconnections. As the latter is more flexible and easier to expand, it is studied more and more nowadays.In this thesis, an inverter controller composed of voltage-loop and current-loop was introduced, then the principle of power distribution (P-Q droop method) was analyzed and the function to control the output power was presented. Influence of cable impedance's deviation on the power distribution was studied in theory and validated by simulation. In order to weaken this influence, two improved droop method, harmonic injection method and output impedance regulation method, was introduced. And a novel improved droop method, P-Q droop coefficient regulation method, was proposed. Simulation results validated this proposed method. As methods mentioned above could only distribute Alternating Current, a DC circum current attenuator was designed.In the following part of this paper, a generalized small-signal model for parallel-inverter power supply system was presented. With the small-signal model, the stability of the system could be studied and the droop coefficients be chosen properly.Finally, experiment results were showed, which proved what had studied in theory and in simulation.
引文
[1] 林渭勋.现代电力电子电路.浙江:浙江大学出版社,2002.
[2] 张占松,蔡宣三.开关电源的原理与设计.北京:电子工业出版社,2001.
[3] 马小林.逆变器模块并联技术的研究.杭州:浙江大学硕士学位论文,2004.
[4] 付好名.基于DSP控制的逆变器模块的无连线并联研究.杭州:浙江大学硕士学位论文,2005.
[5] 朱志杰,逆变器控制及其逆变技术的研究.杭州:浙江大学硕士学位论文,2004
[6] 陈良亮,无输出隔离变压器的逆变器并联系统研究.南京:南京航空航天大学博士学位论文,2004.
[7] Jiann-Fuh Chen, Ching-Lung Chu. Combination voltage-controlled and current-controlled PWM inverters for UPS parallel operation. IEEE Transaction on Power Electronics, Sep. 1995, 10(5): 547-558.
[8] Dong Seong Oh, Kwan Yuhl Cho, Myung Joong Youn. A discretized current control technique with delayed input voltage feedback for a voltage-fed PWM inverter. IEEE Transaction on Power Electronics, Apr. 1992, 7(2): 364-373.
[9] Kiam Heong Ang, Gregory Chong, Yun Li. PID Control System Analysis, Design, and Technology. IEEE Transaction on Control systems technology, Jul. 2005, 13(4): 559-576.
[10] Hongying Wu, Dong Lin, Duhua Zhang, Kaiwei Yao and Jinfa Zhang. A current-mode control technique with instantaneous inductor-current feedback for UPS inverters. In: Proceedings of IEEE Annual Applied Power Electronics Conference, APEC'99, 1999, Volume: 1.951-957.
[11] Y. Duan H. Jin. Digital Controller Design for Switchmode Power Converters. In Proc. IEEE APEC'99, 1999, Volume: 1. 967-973.
[12] 李杰,王武,杨富文.UPS逆变电源的并联控制技术综述.通信电源技术,2005,22(4):7-10.
[13] 刑岩,严仰光.一种实现瞬时均流的UPS冗余并联新方法.清华大学学 报,2003,43(3):333-336.
[14] 刑岩,严仰光.一种新的并联运行逆变器系统的研究.电力电子技术,1999,33(6):11-12,22.
[15] Perreault D J, Se;ders R L. Frequency-based current-sharing techniques for paralleled power converters. IEEE Transaction on Power Electronics, Jul. 1998, 13(4): 626-634.
[16] Lin Xinchun, Chen Xikun, Kang Yong. Research on parallel operation of tree-pahse UPS inverters. In: Proceedings of IEEE INTELEC'02, 2002, volume: 1. 195-199.
[17] David M, Van de Sype, Koen De Gussem'e, Alex P Van den Bossche, and Jan A Melkebeek. Small-Signal z-Domain Analysis of Digitally Controlled Converters. In: Proceedings of IEEE Annual Power Electronics Specialists Conference, PESC'04, 2004, volume: 6. 4299-4305.
[18] Wu T.F., Huang Y.H.A. 3C strategy for multi-module inverters in parallel operation to achieve an equal current distribution. In: Proceedings of IEEE Annual Power Electronics Specialists Conference, IEEE PESC'98, 1998, volume: 1. 186-192.
[19] Takao Kawabata and Shigenori Higashino. Parallel operation of voltage source inverters. IEEE Transaction on Industry Applications, Mar. 1988, 24(2): 281-287
[20] Takao Kawabata, Nobuo Sashida and Yushin Yamamoto. Parallel processing inverter system. IEEE Transaction on Power Electronics, Jul. 1991, 6(3): 442-450.
[21] 陈良亮,肖岚,胡文斌,严仰光.一种基于耦合电感的逆变器并联系统环流抑制方法.南京航空航天大学学报,2004,36(2):205-209.
[22] 冯锋,段善旭.逆变器无互联线并联的均流控制策略.电力电子技术,2003,37(5):39-40.
[23] Anil Tuladhar. Advanced control techniques for parallel inverter operation without control interconnections. A thesis submitted in partial fulfillment of the requirements for the degree of doctor of philosophy. 2000
[24] A Tuladhar, H Jin, T Unger and K Mauch. Parallel Operation of Single Phase Inverter Modules With No Control Interconnections. In: Proceedings of IEEE Annual Applied Power Electronics Conference, APEC'97,1997, volume: 1.94-100.
[25] S J Chiang and J M Chang. Parallel Control of the UPS Inverters With Frequency-dependent Droop Scheme. In: Proceedings of IEEE Annual Power Electronics Specialists Conference, PESC'01, 2001, volume: 2. 957-961.
[26] L L Chen, L Xiao, C Y Gong, Y G Yan. Circulating Current's Characteristics Analysis and the Control Strategy of Parallel System Based on Double Close-loop Controlled VSI. In: Proceedings of IEEE Annual Power Electronics Specialists Conference, PESC'04, 2004, volume: 6. 4791-4797.
[27] A Tuladhar, H Jin, T Unger and K Mauch. Control of Parallel Inverters in Distributed AC Power Systems with Consideration of Line Impedance Effect. IEEE Transaction on Industrial Applications, Jan./Feb. 2000, 36(1): 131-138.
[28] Guerrero J M., Luis Garcia de Vicuna, Matas J, Castilla M, Miret J. Output Impedance Design of Parallel-Connected UPS Inverters With Wireless Load-Sharing Control. IEEE Transaction on industrial electronics, Aug. 2005, 52(4): 1126-1135.
[29] Guerrero J M., Luis Garcia de Vicuna, Matas J, Castilla M, Miret J. Output impedance design of parallel-connected UPS inverters. In: Proceedings of IEEE Annual Power Electronics Specialists Conference, PESC'04, 2004, volume: 3.2482-2488.
[30] Guerrero J M., Luis Garcia de Vicuna, Matas J, Miret J, Cruz J. Steady-state invariant frequency and amplitude droop control using adaptive output impedance for parallel-connected UPS inverters. In: Proceedings of IEEE Annual Applied Power Electronics Conference, APEC'05, 2005, volume: 1. 560-566.
[31] Guerrero J M., Luis Garcia de Vicuna, Matas J, Miret J. Steady-state invariant-frequency control of parallel redundant uninterruptible power supplies. In: Proceedings of IEEE Annual Conference of Industrial Electronics, IECON'02, 2002, volume: 1. 257-261.
[32] Guerrero J M., Luis Garcia de Vicuna, Matas J, Miret J. A high-performance DSP-controller for parallel operation of online UPS systems. In: Proceedings of IEEE Annual Applied Power Electronics Conference, APEC'04, 2004, volume: 1. 463-469.
[33] 陈良亮,肖岚,严仰光.双闭环控制电压源逆变器外特性研究.电力电子技术,2004,38(3):6-9.
[34] Guerrero J M., Luis Garcia de Vicuna, Matas J, Miret J. A wireless controller for parallel inverters in distributed online UPS systems. In: Proceedings of IEEE Annual Conference of Industrial Electronics, IECON'03, 2003, volume: 2. 1637-1642.
[35] Guerrero J M, de Vicuna LG, Matas J, Castilla M, Miret J. A wireless controller to enhance dynamic performance of parallel inverters in distributed generation systems. IEEE Transaction on power electronics, Sep. 2004, 19(5): 1205-1213.
[36] De Brabandere K, Bolsens B, Van den Keybus J, Woyte A, Driesen J, Belmans R, Leuven K U. A voltage and frequency droop control method for parallel inverters. In: Proceedings of IEEE Annual Power Electronics Specialists Conference, PESC'04, 2004, volume: 2. 2501-2507.
[37] Marwali, M.N, Jin-Woo Jung;Keyhani A. Control of distributed generation systems-Part Ⅱ: Load sharing control. IEEE Transactions on Power Electronics, Nov. 2004, 19(6): 1551-1561.
[38] Hongying Wu, Xiaoming Yuan. Improved Droop Control Techniques. In: Proceedings of IEEE 2005 International Power Electronics Conference, volume: 2. 1775-1781.
[39] 陈良亮,肖岚,龚春英,严仰光.逆变器并联系统直流环流产生原因及其检测与抑制方法.电机工程学报,2004,24(9):56-61。
[40] Ernane Antonio Alves Coelho, P C Cortizo and P F D Garcia. Small-Signal Stability for parallel-Connected Inverters in Stand-Alone AC Supply Systems. IEEE Transaction on Industrial Applications, March/April 2002, 38(2): 533-542.
[41] Coelho E A A, Cortizo P C, Garcia P F D. Small-signal stability for parallel-connected inverters in stand-alone AC supply systems. In: Proceedings of IEEE Industry Applications Conference, 2000,volume: 4. 2345-2352.
[42] 林新春,段善旭.基于下垂特性控制的无互联线并联UPS建模与稳定性分析.中国电机工程学报,2004,24(2):33-38.
[43] Naser M Abdel-Rahim, John EQuaicoe. Analysis and design of a multiple feedback loop control strategy for single-phase voltage-source UPS inverters. IEEE Transaction Power Electronics, Jul. 1996, 11 (4): 532-541.
[44] IEEE Trial-use Standard Definitions for the Measurement of Electric Power Quantities Under Sinusoidal, Nonsinusoidal, Balanced, or Unbalance Conditions: IEEE Std, 1459-2000
[45] 李培芳.离散信号与系统分析.浙江:浙江大学出版社,2000.5
[46] 郭卫农,陈坚.基于状态观测器的逆变数字双环控制技术研究.电机工程学报,2002,22(9):63-68.
[47] S J Chiang, C H Lin and C Y Yen. Current limitation control technique for parallel operation of ups inverters. In: Proceedings of IEEE Annual Power Electronics Specialists Conference, PESC'04, 2004, pp. 1922-1926.
[48] Yu Meng, Shangxu Duan, Yong Kang, Jian Chen. Research on voltage source inverters with wireless parallel operation. In: Proceedings of IEEE PIEMC'2000, 2000, volume: 1. 808-812.
[49] Xiao Sun, Y S Lee and D H Xu. Modeling, Analysis, and Implementation of Parallel Multi-Inverter Systems With Instantaneous Average-Current Sharing Scheme. IEEE Transaction on Power Electronics, May 2003, 18(3): 844-856.
[50] Stanojevic D, Stefanovic M. A UPS inverter with zero output impedance. In: Proceedings of IEEE Annual Conference of Industrial Electronics, IECON'94, 1994, volume: 1. 469-472.
[51] TMS320LF_LC240xA DSP Controllers System and Peripherals Reference Guide (Rev. B): System and Peripherals. Literature Number: SPRU357B. Texas Instruments. December 2001.
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[2] 张占松,蔡宣三.开关电源的原理与设计.北京:电子工业出版社,2001.
[3] 马小林.逆变器模块并联技术的研究.杭州:浙江大学硕士学位论文,2004.
[4] 付好名.基于DSP控制的逆变器模块的无连线并联研究.杭州:浙江大学硕士学位论文,2005.
[5] 朱志杰,逆变器控制及其逆变技术的研究.杭州:浙江大学硕士学位论文,2004
[6] 陈良亮,无输出隔离变压器的逆变器并联系统研究.南京:南京航空航天大学博士学位论文,2004.
[7] Jiann-Fuh Chen, Ching-Lung Chu. Combination voltage-controlled and current-controlled PWM inverters for UPS parallel operation. IEEE Transaction on Power Electronics, Sep. 1995, 10(5): 547-558.
[8] Dong Seong Oh, Kwan Yuhl Cho, Myung Joong Youn. A discretized current control technique with delayed input voltage feedback for a voltage-fed PWM inverter. IEEE Transaction on Power Electronics, Apr. 1992, 7(2): 364-373.
[9] Kiam Heong Ang, Gregory Chong, Yun Li. PID Control System Analysis, Design, and Technology. IEEE Transaction on Control systems technology, Jul. 2005, 13(4): 559-576.
[10] Hongying Wu, Dong Lin, Duhua Zhang, Kaiwei Yao and Jinfa Zhang. A current-mode control technique with instantaneous inductor-current feedback for UPS inverters. In: Proceedings of IEEE Annual Applied Power Electronics Conference, APEC'99, 1999, Volume: 1.951-957.
[11] Y. Duan H. Jin. Digital Controller Design for Switchmode Power Converters. In Proc. IEEE APEC'99, 1999, Volume: 1. 967-973.
[12] 李杰,王武,杨富文.UPS逆变电源的并联控制技术综述.通信电源技术,2005,22(4):7-10.
[13] 刑岩,严仰光.一种实现瞬时均流的UPS冗余并联新方法.清华大学学 报,2003,43(3):333-336.
[14] 刑岩,严仰光.一种新的并联运行逆变器系统的研究.电力电子技术,1999,33(6):11-12,22.
[15] Perreault D J, Se;ders R L. Frequency-based current-sharing techniques for paralleled power converters. IEEE Transaction on Power Electronics, Jul. 1998, 13(4): 626-634.
[16] Lin Xinchun, Chen Xikun, Kang Yong. Research on parallel operation of tree-pahse UPS inverters. In: Proceedings of IEEE INTELEC'02, 2002, volume: 1. 195-199.
[17] David M, Van de Sype, Koen De Gussem'e, Alex P Van den Bossche, and Jan A Melkebeek. Small-Signal z-Domain Analysis of Digitally Controlled Converters. In: Proceedings of IEEE Annual Power Electronics Specialists Conference, PESC'04, 2004, volume: 6. 4299-4305.
[18] Wu T.F., Huang Y.H.A. 3C strategy for multi-module inverters in parallel operation to achieve an equal current distribution. In: Proceedings of IEEE Annual Power Electronics Specialists Conference, IEEE PESC'98, 1998, volume: 1. 186-192.
[19] Takao Kawabata and Shigenori Higashino. Parallel operation of voltage source inverters. IEEE Transaction on Industry Applications, Mar. 1988, 24(2): 281-287
[20] Takao Kawabata, Nobuo Sashida and Yushin Yamamoto. Parallel processing inverter system. IEEE Transaction on Power Electronics, Jul. 1991, 6(3): 442-450.
[21] 陈良亮,肖岚,胡文斌,严仰光.一种基于耦合电感的逆变器并联系统环流抑制方法.南京航空航天大学学报,2004,36(2):205-209.
[22] 冯锋,段善旭.逆变器无互联线并联的均流控制策略.电力电子技术,2003,37(5):39-40.
[23] Anil Tuladhar. Advanced control techniques for parallel inverter operation without control interconnections. A thesis submitted in partial fulfillment of the requirements for the degree of doctor of philosophy. 2000
[24] A Tuladhar, H Jin, T Unger and K Mauch. Parallel Operation of Single Phase Inverter Modules With No Control Interconnections. In: Proceedings of IEEE Annual Applied Power Electronics Conference, APEC'97,1997, volume: 1.94-100.
[25] S J Chiang and J M Chang. Parallel Control of the UPS Inverters With Frequency-dependent Droop Scheme. In: Proceedings of IEEE Annual Power Electronics Specialists Conference, PESC'01, 2001, volume: 2. 957-961.
[26] L L Chen, L Xiao, C Y Gong, Y G Yan. Circulating Current's Characteristics Analysis and the Control Strategy of Parallel System Based on Double Close-loop Controlled VSI. In: Proceedings of IEEE Annual Power Electronics Specialists Conference, PESC'04, 2004, volume: 6. 4791-4797.
[27] A Tuladhar, H Jin, T Unger and K Mauch. Control of Parallel Inverters in Distributed AC Power Systems with Consideration of Line Impedance Effect. IEEE Transaction on Industrial Applications, Jan./Feb. 2000, 36(1): 131-138.
[28] Guerrero J M., Luis Garcia de Vicuna, Matas J, Castilla M, Miret J. Output Impedance Design of Parallel-Connected UPS Inverters With Wireless Load-Sharing Control. IEEE Transaction on industrial electronics, Aug. 2005, 52(4): 1126-1135.
[29] Guerrero J M., Luis Garcia de Vicuna, Matas J, Castilla M, Miret J. Output impedance design of parallel-connected UPS inverters. In: Proceedings of IEEE Annual Power Electronics Specialists Conference, PESC'04, 2004, volume: 3.2482-2488.
[30] Guerrero J M., Luis Garcia de Vicuna, Matas J, Miret J, Cruz J. Steady-state invariant frequency and amplitude droop control using adaptive output impedance for parallel-connected UPS inverters. In: Proceedings of IEEE Annual Applied Power Electronics Conference, APEC'05, 2005, volume: 1. 560-566.
[31] Guerrero J M., Luis Garcia de Vicuna, Matas J, Miret J. Steady-state invariant-frequency control of parallel redundant uninterruptible power supplies. In: Proceedings of IEEE Annual Conference of Industrial Electronics, IECON'02, 2002, volume: 1. 257-261.
[32] Guerrero J M., Luis Garcia de Vicuna, Matas J, Miret J. A high-performance DSP-controller for parallel operation of online UPS systems. In: Proceedings of IEEE Annual Applied Power Electronics Conference, APEC'04, 2004, volume: 1. 463-469.
[33] 陈良亮,肖岚,严仰光.双闭环控制电压源逆变器外特性研究.电力电子技术,2004,38(3):6-9.
[34] Guerrero J M., Luis Garcia de Vicuna, Matas J, Miret J. A wireless controller for parallel inverters in distributed online UPS systems. In: Proceedings of IEEE Annual Conference of Industrial Electronics, IECON'03, 2003, volume: 2. 1637-1642.
[35] Guerrero J M, de Vicuna LG, Matas J, Castilla M, Miret J. A wireless controller to enhance dynamic performance of parallel inverters in distributed generation systems. IEEE Transaction on power electronics, Sep. 2004, 19(5): 1205-1213.
[36] De Brabandere K, Bolsens B, Van den Keybus J, Woyte A, Driesen J, Belmans R, Leuven K U. A voltage and frequency droop control method for parallel inverters. In: Proceedings of IEEE Annual Power Electronics Specialists Conference, PESC'04, 2004, volume: 2. 2501-2507.
[37] Marwali, M.N, Jin-Woo Jung;Keyhani A. Control of distributed generation systems-Part Ⅱ: Load sharing control. IEEE Transactions on Power Electronics, Nov. 2004, 19(6): 1551-1561.
[38] Hongying Wu, Xiaoming Yuan. Improved Droop Control Techniques. In: Proceedings of IEEE 2005 International Power Electronics Conference, volume: 2. 1775-1781.
[39] 陈良亮,肖岚,龚春英,严仰光.逆变器并联系统直流环流产生原因及其检测与抑制方法.电机工程学报,2004,24(9):56-61。
[40] Ernane Antonio Alves Coelho, P C Cortizo and P F D Garcia. Small-Signal Stability for parallel-Connected Inverters in Stand-Alone AC Supply Systems. IEEE Transaction on Industrial Applications, March/April 2002, 38(2): 533-542.
[41] Coelho E A A, Cortizo P C, Garcia P F D. Small-signal stability for parallel-connected inverters in stand-alone AC supply systems. In: Proceedings of IEEE Industry Applications Conference, 2000,volume: 4. 2345-2352.
[42] 林新春,段善旭.基于下垂特性控制的无互联线并联UPS建模与稳定性分析.中国电机工程学报,2004,24(2):33-38.
[43] Naser M Abdel-Rahim, John EQuaicoe. Analysis and design of a multiple feedback loop control strategy for single-phase voltage-source UPS inverters. IEEE Transaction Power Electronics, Jul. 1996, 11 (4): 532-541.
[44] IEEE Trial-use Standard Definitions for the Measurement of Electric Power Quantities Under Sinusoidal, Nonsinusoidal, Balanced, or Unbalance Conditions: IEEE Std, 1459-2000
[45] 李培芳.离散信号与系统分析.浙江:浙江大学出版社,2000.5
[46] 郭卫农,陈坚.基于状态观测器的逆变数字双环控制技术研究.电机工程学报,2002,22(9):63-68.
[47] S J Chiang, C H Lin and C Y Yen. Current limitation control technique for parallel operation of ups inverters. In: Proceedings of IEEE Annual Power Electronics Specialists Conference, PESC'04, 2004, pp. 1922-1926.
[48] Yu Meng, Shangxu Duan, Yong Kang, Jian Chen. Research on voltage source inverters with wireless parallel operation. In: Proceedings of IEEE PIEMC'2000, 2000, volume: 1. 808-812.
[49] Xiao Sun, Y S Lee and D H Xu. Modeling, Analysis, and Implementation of Parallel Multi-Inverter Systems With Instantaneous Average-Current Sharing Scheme. IEEE Transaction on Power Electronics, May 2003, 18(3): 844-856.
[50] Stanojevic D, Stefanovic M. A UPS inverter with zero output impedance. In: Proceedings of IEEE Annual Conference of Industrial Electronics, IECON'94, 1994, volume: 1. 469-472.
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