贯通同相供电系统潮流控制策略研究
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摘要
现行电气化铁路供电系统存在谐波、负序和无功等电能质量问题,牵引网电分相直接影响着机车重载运行。为解决以上问题提出了多种改善和解决方案,前期的无源对称补偿技术对一系列电能质量问题进行了改善,但想从根本上解决有一定难度,依然存在电分相,之后提出的基于SVG的同相供电方案能很好地解决上述问题,取消了变电所出口处电分相,但没有取消分区所处电分相。
基于将牵引供电系统和公共电网实现隔离的想法,从根本上解决上述问题,贯通式同相供电方案应运而生。贯通式同相供电系统前期研究主要是综合潮流控制器的建模与仿真,本文则对此方案中潮流控制做了更系统的研究。首先,本文研究了组成潮流控制器的基本模块交-直-交变流器,对其进行了的建模与仿真,并在以往控制基础上对单相逆变侧的控制策略进行了改进。然后,本文研究了变电所内部交-直-交变流器的并联冗余,分析多种控制方法后采用集中式控制和分布式控制分别对变流器并联系统进行了仿真分析,并对结果进行了对比分析。最后,本文研究了变电所之间并网控制策略,比较几种控制策略后,采用下垂控制与倒下垂控制相结合的控制策略,对四个变电所模块并联系统进行了建模与仿真。采用下垂控制的变电所为负载供电的同时提供系统电压,采用倒下垂控制的变电所支持系统电压并能够控制其输出功率,做到变电所容量限定。最后使用MATLAB/Simulink软件对.上述电路建模并进行了仿真分析,实验结果表明,在本文潮流控制策略下,各变电所模块之间能够顺利并网实现贯通式同相供电,在自然潮流分布的基础上,在控制策略中加入了变电所模块的容量限定,能很好的实现变电所限容的目的,验证了该潮流控制策略的可行性。
Negative sequence, harmonics and reactive power are problems exist in railway Power supply, seriously affecting the development of high-speed and high-load railway., a variety of improvements and solutions have been proposed to solve these problems. Such as the pre-passive symmetrical compensation technology, it was able to improve the above-mentioned power quality problems, but it is difficult to fundamentally solve. The problem is the electric phase separation still exists. The co-phase traction power supply system based on the SVG can solve the above problems, it has been put into trial operation and proven to minimize those problems, and it has electric phase break.
Reference to the results of previous studies, this paper focuses on doing a further study of the co-phase connected power supply system, and proposed a suitable flow control strategy. Currently the study of the co-phase connected power supply system is to model and simulate the integrated power flow controller. On this basis, this paper made a research and analysis on the AC-DC-AC converter's operating in parallel and used two control strategies to model and simulate it. In addition, this paper made a research and analysis on the substation's operating in parallel. The integrated method of controlling adopt the combination of droop control and inverse droop control, the substation used droop control to keep the system voltage,which used inverse droop control to support the system voltage and is able to control its output power, the substation's capacity can be limited. Using two different control strategies improved the stability of the system, and ensure the stability of the system can be better when the system failure or shock. With establishing and analyzing the simulation model of co-phase connected power supply system by MATLAB, both dynamic and steady performances of the system, which controlled by the synthetic control strategy, have been proved well.
基于将牵引供电系统和公共电网实现隔离的想法,从根本上解决上述问题,贯通式同相供电方案应运而生。贯通式同相供电系统前期研究主要是综合潮流控制器的建模与仿真,本文则对此方案中潮流控制做了更系统的研究。首先,本文研究了组成潮流控制器的基本模块交-直-交变流器,对其进行了的建模与仿真,并在以往控制基础上对单相逆变侧的控制策略进行了改进。然后,本文研究了变电所内部交-直-交变流器的并联冗余,分析多种控制方法后采用集中式控制和分布式控制分别对变流器并联系统进行了仿真分析,并对结果进行了对比分析。最后,本文研究了变电所之间并网控制策略,比较几种控制策略后,采用下垂控制与倒下垂控制相结合的控制策略,对四个变电所模块并联系统进行了建模与仿真。采用下垂控制的变电所为负载供电的同时提供系统电压,采用倒下垂控制的变电所支持系统电压并能够控制其输出功率,做到变电所容量限定。最后使用MATLAB/Simulink软件对.上述电路建模并进行了仿真分析,实验结果表明,在本文潮流控制策略下,各变电所模块之间能够顺利并网实现贯通式同相供电,在自然潮流分布的基础上,在控制策略中加入了变电所模块的容量限定,能很好的实现变电所限容的目的,验证了该潮流控制策略的可行性。
Negative sequence, harmonics and reactive power are problems exist in railway Power supply, seriously affecting the development of high-speed and high-load railway., a variety of improvements and solutions have been proposed to solve these problems. Such as the pre-passive symmetrical compensation technology, it was able to improve the above-mentioned power quality problems, but it is difficult to fundamentally solve. The problem is the electric phase separation still exists. The co-phase traction power supply system based on the SVG can solve the above problems, it has been put into trial operation and proven to minimize those problems, and it has electric phase break.
Reference to the results of previous studies, this paper focuses on doing a further study of the co-phase connected power supply system, and proposed a suitable flow control strategy. Currently the study of the co-phase connected power supply system is to model and simulate the integrated power flow controller. On this basis, this paper made a research and analysis on the AC-DC-AC converter's operating in parallel and used two control strategies to model and simulate it. In addition, this paper made a research and analysis on the substation's operating in parallel. The integrated method of controlling adopt the combination of droop control and inverse droop control, the substation used droop control to keep the system voltage,which used inverse droop control to support the system voltage and is able to control its output power, the substation's capacity can be limited. Using two different control strategies improved the stability of the system, and ensure the stability of the system can be better when the system failure or shock. With establishing and analyzing the simulation model of co-phase connected power supply system by MATLAB, both dynamic and steady performances of the system, which controlled by the synthetic control strategy, have been proved well.
引文
[1]李群湛,贺建闽.牵引供电系统分析[M].成都：西南交通大学出版社,2007.
[2]李群湛.牵引变电所供电分析及综合补偿技术[M].北京：中国铁道出版社,2006.
[3]李群湛,贺建闽.电气化铁道电能质量及其综合控制技术[M].成都：西南交通大学出版社,2008.
[4]郭育华,连级三,张昆仑.自动过分相对电力机车的影响[J].机车电传动,2006,18(6)：73-78.
[5]李群湛,张进思,贺威俊.适于重载电力牵引的新型供电系统的研究[J].铁道学报,1988,10(4)：23-31.
[6]李群湛.我国高速铁路牵引供电发展的若干关键技术问题[J].铁道学报,2010,32(4)：119-124.
[7]李群湛,贺建闽.同相供电系统的对称补偿[J].铁道学报,1991,10：35-43.
[8]李群湛,贺建闽.电气化铁路的同相供电系统与刘称补偿技术[J].电力系统自动化,1996,20(4)9.11,28.
[9]贺建闽,李群湛.用于同相供电系统的对称补偿技术[J].铁道学报,1998,20(6)：46-51.
[10]解绍锋,李群湛,贺建闽,吴命利.同相供电系统对称补偿装置控制策略研究[J].铁道学报,2002,24(2)：109-113.
[11]吕晓琴,张秀峰.基于有源滤波器和V/X结线的同相牵引供电系统[J].电力系统及其自动化学报,2006,18(6)：73.78.
[12]张秀峰,连级三.利用电力电子技术构建的新型牵引供电系统[J].变流技术与电力牵引,2007,(3).
[13]张秀峰,高仕斌,钱清泉.基于阻抗匹配平衡变压器和AT供电方式的新型同相牵引供电系统[J].铁道学报,2006,28(4)：32-37.
[14]张秀峰,钱清泉,李群湛,吕晓琴.基于有源滤波器和AT供电方式的新型同相牵引供电系统[J].铁道科学,2006,27(6)：73-78.
[15]曾国宏,郝荣泰.采用有源滤波器实现平衡变换的供电系统研究[J].铁道学报,2003,25(1)：48.53.
[16]曾国宏,郝荣泰.基于有源滤波器和阻抗匹配平衡变压器的同相供电系统[J].铁道学报,2003,25(3)：49.54.
[17]曾国宏.Siamak Farshad,郝荣泰.三/单相平衡变换的铁路新型牵引供电系统的研究[J].机车电传动,1999,(3)：14-17,21.
[18]Jian Xie, Andriy Zynovchenko, Feng Li, Hans-Jiirgen Haubrich, Peter Treige.Converter control and stability of the 110-kV railway grid with the increasing use of the static frequency converters. European Conference on Power Electronics and Applications,2005,8 pp.-P.8.
[19]工琦.同相贯通牵引供电主电路方案研究[D],西南交通大学,2012,5.
[20]沈斐,工娅岚,刘文华,梁旭,韩英铎.大容量STATCOM主电路结构的分析和比较[J].电力系统自动化,2003,27(8)：59-65.
[21]卓放,胡军飞,王兆安.采用多重化主电路实现的大功率有源电力滤波器[J].电网技术,2004,24(8)：5.7.
[22]许湘莲,邹云屏，丁凯,王成智,金红元.基于相移级联多电平逆变器的STATCOM研究[J].高电压技术,2005,31(6)：29-62.
[23]王兆安,黄俊.电力电子技术[M].北京：机械工业出版社,2000：40-41.
[24]陈坚.电力电子学.电力电子变换和控制技术[M].北京：高等教育出版社,2002：25.26.
[25]冯晓云.电力牵引交流传动及其控制系统[M].北京：高等教育出版社,2009：105-106.
[26]A.Nabae, I. Takahashi and H.Akagi. A New Neutral-point-lampsed PWM Inverter IEEE Trans.1981(5):518-523.
[27]刘念洲,刘成浩.基于MATLAB的三相电压型PWM整流系统仿真。船电技术2009,29(2),43-46.
[28]谢运祥,朱立新,唐中琦.有源滤波器输出电感值的选取方法[J].电华南理工大学学报,2000,28(9)：73-76.
[29]王久和,张金龙,李华德.电压型PWM整流器直接功率控制系统主电路参数设计.北京科技大学学报.2006,28(11),1091.1095.
[30]何英杰,邹云屏,林磊,金红元,刘飞.三电平有源滤波器直流侧电压控制方法[J].高电压技术,2006，6.
[31]Han-Ju Cha, Sin-Sup Kim, Min-Gu Kang and Yong-Ho Chung, Real-time Digital Control of PWM Inverter with PI Compensator for Uninterruptible Power Supply, Proceeding of 1990 PESC.
[32]Pascal Maussion, Marcel Grandpierre, Jean Faucher, Jean Claude Hapiot, Instantaneous Feedback Control of A Single-Phase PWM Inverter with Nonlinear Loads by Sine Wave Tracking, IEEE IECON,1989, pp.130-135.
[33]Akira Moriyama, Itaru Ando, Isao Takahashi, Sinusoidal Voltage Control of a Single Phase Uninterruptible Power Supply by a High Gain PI Circuit, IEEE IECON,1998,pp.574-579.
[34]Osman Kukrer, Deadbeat Control of a Three-Phase Inverter with an Output LC Filter,IEEE Trans, on Power Electronics, Vol.11, No.1,1996.
[35]O. Kukrer, H. Komurcugil, Deadbeat Control Method for Single-Phase UPS Inverters with Compensation of Computation Delay, IEE Proc-Electr. Appl., Vol.146, No.1, 1999,pp 123-128.
[36]Tomoki Yokoyama, Atsuo Kawamura, Disturbance Observer Based Fully Digital Controllel PWM Inverter for CVCF Operation, IEEE Trans, on Power Electronics 1994,Vol.9(5), pp.473-480.
[37]Chihchiang Hua, Two-Level Switching Pattern Deadbeat DSP Controlled PWM Inverter,IEEE Trans. on Power Electronics 1995, Vol.10(3), pp.310-317.
[38]Toshimasa, Haneyoshi, Atsuo Kawamura, Richard G.Hoft, Waveform Compensation of PWM Inverter Cyclic Fluctuating Loads, IEEE Trans, on Industry Application, Vol.24,No.4, July,1988, pp.582-589.
[39]C.Rech, H.Pinheiro, H.A.Grudling, H.L.Hey, J.R.Pinheiro, Analysis and Design of a Repetitive Predicitive-PID Controller for PWM Inverters, IEEE PESC,2001, pp.986-991.
[40]Ying-Yu Tzou, Rong-Shyang Ou, Shih-Liang Jung, Meng-Yueh Chang, High Performance Programmable AC Power Source with Low Harmonic Distortion Using DSP Based Reptitive Control Technique, IEEE Trans, on Power Electronics 1997, Vol.12(4).
[41]C. Rech, H.A. Grundling, J. R. Pinheiro, A Modified Discrete Control Law for UPS Applications, IEEE PESC,2000, pp.1476-1481.
[42]Y. Nishida, T. Haneyoshi, Preditive Instantaneous Value Controlled PWM Inverter for UPS, IEEE PESC,1992, pp.776-783.
[43]谢孟,蔡昆,胜晓松,王平,李耀华.400Hz中频单相电压源逆变器的输出控制及其并联运行控制,中国电机工程学报,2006,26(6),pp.78-82.
[44]林新春,康勇,陈坚,陈息坤.UPS逆变电源波形补偿技术研究,电气传动,2002(6)pp.35-37.
[45]许爱国,谢少军.电容电流瞬时值反馈控制逆变器的数字控制技术研究,中国电机工程学报,2005,25(1),pp.49-53.
[46]李俊林,熊健,康勇.逆变器数字多环控制技术研究,电工电能新技术,2004,Vo1.23(4),pp.56-59.
[47]黄蕾.并联逆变器控制技术的研究[D].硕士学位论文,南京航空航天大学,2004：22.23.
[48]郝浩,李宏.逆变电源并联技术研究[J].电源技术应用,2009.2：16-18.
[49]何中一.PWM逆变器的控制及并联运行控制研究[D].博士学位论文,南京航空航天大学,2008.
[50]Josep M. Guerrero, Lijun Hang, and Javier Uceda, Control of distributed uninterruptible power supply systems, IEEE Trans. Industrial Electronics,2008,55 (8):2845-2859.
[51]T. Iwade, S. Komiyama, Y. Tanimura, et al, A novel small-scale UPS using a parallel redundant operation system, in Proc. IEEE INTELEC,2003:480～483.
[52]A.P. Martins, A.S. Carvalho, and A.S. Araujo, Design and implementation of a current controller for the parallel operation of standard UPSs, in Proc. IEEE IECON,1995:584～ 589.
[53]J.-F. Chen, and C.-L. Chu, Combination voltage-controlled and current-controlled PWM inverters for UPS parallel operation, IEEE Trans. Power Electronics,1995,10 (5):547～ 558.
[54]H. van der Broeck, and U. Boeke, A simple method for parallel operation of inverters, in Proc.IEEE INTELEC,1998:143～150.
[55]Yunqing Pei, Guibin Jiang, Xu Yang, et al, Auto-master-slave control technique of parallel inverters in distributed AC power systems and UPS, in Proc. IEEE PESC,2004:2050～ 2053.
[56]肖岚,胡文斌,蒋渭忠等.基于主从控制的逆变器并联系统研究,东南大学学报(自然科学 版),2002,32(1)：133～137.
[57]T.-Fu Wu, Y.-K. Chen, and Y.-H. Huang,3C strategy for inverters in parallel operation achieving an equal current distribution, IEEE Trans. Industrial Electronics,2000,47 (2):273 ～281.
[58]K. Piboonwattanakit, and W. Khan-ngern, Design of two parallel inverter modules by circular chain control technique, in Proc. IEEE PEDS,2007:1518～1522.
[59]何中一,邢岩,付大丰.模数混合分布式逆变器并联控制方法,中国电机工程学报,2007,27(4)：113～117.
[60]Y.-K. Chen, Y.-E. Wu, T.-F. Wu, et al, ACSS for paralleled multi-inverter systems with DSP-based robust controls, IEEE Trans. Aerospace and Electronic Systems,2003,39 (3): 1002～1015.
[61]Xiao Sun, Yim-Shu Lee, and Dehong Xu, Modeling, analysis, and implementation of parallel multi-inverter systems with instantaneous average-current-sharing scheme, IEEE Trans. Power Electronics,2003,18 (3):844～856.
[62]肖岚,陈良亮,李睿等,基于有功和无功环流控制的DC-AC逆变器并联系统分析.与实现,电工技术学报,2005,20(10)：7～12.
[63]纪明伟.分布式发电中微电网技术控制策略研究[D].合肥工业大学,2009.
[64]张丹红,李乐,刘开培.无互联线逆变器并联控制的一种改进下垂算法[J].武汉大学学报,2006,39(5)：97-102.
[65]刘爱忠.逆变器控制技术的研究[D].南京航天航空大学,2007.
[66]Katiraei F, Iravani M R.Power management strategies for a microgrid with multiple distributed generation units [J].IEEE Transactions on Power Systems,2006,21 (4):1822-1831.
[67]De Brabandere K. Voltage and frequency droop control in low voltage grids by distributed generators with inverter front-end [D]. Faculteit Ingenieursw-etenschappen, K.U.Leuven, Belgium,2006.
[2]李群湛.牵引变电所供电分析及综合补偿技术[M].北京：中国铁道出版社,2006.
[3]李群湛,贺建闽.电气化铁道电能质量及其综合控制技术[M].成都：西南交通大学出版社,2008.
[4]郭育华,连级三,张昆仑.自动过分相对电力机车的影响[J].机车电传动,2006,18(6)：73-78.
[5]李群湛,张进思,贺威俊.适于重载电力牵引的新型供电系统的研究[J].铁道学报,1988,10(4)：23-31.
[6]李群湛.我国高速铁路牵引供电发展的若干关键技术问题[J].铁道学报,2010,32(4)：119-124.
[7]李群湛,贺建闽.同相供电系统的对称补偿[J].铁道学报,1991,10：35-43.
[8]李群湛,贺建闽.电气化铁路的同相供电系统与刘称补偿技术[J].电力系统自动化,1996,20(4)9.11,28.
[9]贺建闽,李群湛.用于同相供电系统的对称补偿技术[J].铁道学报,1998,20(6)：46-51.
[10]解绍锋,李群湛,贺建闽,吴命利.同相供电系统对称补偿装置控制策略研究[J].铁道学报,2002,24(2)：109-113.
[11]吕晓琴,张秀峰.基于有源滤波器和V/X结线的同相牵引供电系统[J].电力系统及其自动化学报,2006,18(6)：73.78.
[12]张秀峰,连级三.利用电力电子技术构建的新型牵引供电系统[J].变流技术与电力牵引,2007,(3).
[13]张秀峰,高仕斌,钱清泉.基于阻抗匹配平衡变压器和AT供电方式的新型同相牵引供电系统[J].铁道学报,2006,28(4)：32-37.
[14]张秀峰,钱清泉,李群湛,吕晓琴.基于有源滤波器和AT供电方式的新型同相牵引供电系统[J].铁道科学,2006,27(6)：73-78.
[15]曾国宏,郝荣泰.采用有源滤波器实现平衡变换的供电系统研究[J].铁道学报,2003,25(1)：48.53.
[16]曾国宏,郝荣泰.基于有源滤波器和阻抗匹配平衡变压器的同相供电系统[J].铁道学报,2003,25(3)：49.54.
[17]曾国宏.Siamak Farshad,郝荣泰.三/单相平衡变换的铁路新型牵引供电系统的研究[J].机车电传动,1999,(3)：14-17,21.
[18]Jian Xie, Andriy Zynovchenko, Feng Li, Hans-Jiirgen Haubrich, Peter Treige.Converter control and stability of the 110-kV railway grid with the increasing use of the static frequency converters. European Conference on Power Electronics and Applications,2005,8 pp.-P.8.
[19]工琦.同相贯通牵引供电主电路方案研究[D],西南交通大学,2012,5.
[20]沈斐,工娅岚,刘文华,梁旭,韩英铎.大容量STATCOM主电路结构的分析和比较[J].电力系统自动化,2003,27(8)：59-65.
[21]卓放,胡军飞,王兆安.采用多重化主电路实现的大功率有源电力滤波器[J].电网技术,2004,24(8)：5.7.
[22]许湘莲,邹云屏，丁凯,王成智,金红元.基于相移级联多电平逆变器的STATCOM研究[J].高电压技术,2005,31(6)：29-62.
[23]王兆安,黄俊.电力电子技术[M].北京：机械工业出版社,2000：40-41.
[24]陈坚.电力电子学.电力电子变换和控制技术[M].北京：高等教育出版社,2002：25.26.
[25]冯晓云.电力牵引交流传动及其控制系统[M].北京：高等教育出版社,2009：105-106.
[26]A.Nabae, I. Takahashi and H.Akagi. A New Neutral-point-lampsed PWM Inverter IEEE Trans.1981(5):518-523.
[27]刘念洲,刘成浩.基于MATLAB的三相电压型PWM整流系统仿真。船电技术2009,29(2),43-46.
[28]谢运祥,朱立新,唐中琦.有源滤波器输出电感值的选取方法[J].电华南理工大学学报,2000,28(9)：73-76.
[29]王久和,张金龙,李华德.电压型PWM整流器直接功率控制系统主电路参数设计.北京科技大学学报.2006,28(11),1091.1095.
[30]何英杰,邹云屏,林磊,金红元,刘飞.三电平有源滤波器直流侧电压控制方法[J].高电压技术,2006，6.
[31]Han-Ju Cha, Sin-Sup Kim, Min-Gu Kang and Yong-Ho Chung, Real-time Digital Control of PWM Inverter with PI Compensator for Uninterruptible Power Supply, Proceeding of 1990 PESC.
[32]Pascal Maussion, Marcel Grandpierre, Jean Faucher, Jean Claude Hapiot, Instantaneous Feedback Control of A Single-Phase PWM Inverter with Nonlinear Loads by Sine Wave Tracking, IEEE IECON,1989, pp.130-135.
[33]Akira Moriyama, Itaru Ando, Isao Takahashi, Sinusoidal Voltage Control of a Single Phase Uninterruptible Power Supply by a High Gain PI Circuit, IEEE IECON,1998,pp.574-579.
[34]Osman Kukrer, Deadbeat Control of a Three-Phase Inverter with an Output LC Filter,IEEE Trans, on Power Electronics, Vol.11, No.1,1996.
[35]O. Kukrer, H. Komurcugil, Deadbeat Control Method for Single-Phase UPS Inverters with Compensation of Computation Delay, IEE Proc-Electr. Appl., Vol.146, No.1, 1999,pp 123-128.
[36]Tomoki Yokoyama, Atsuo Kawamura, Disturbance Observer Based Fully Digital Controllel PWM Inverter for CVCF Operation, IEEE Trans, on Power Electronics 1994,Vol.9(5), pp.473-480.
[37]Chihchiang Hua, Two-Level Switching Pattern Deadbeat DSP Controlled PWM Inverter,IEEE Trans. on Power Electronics 1995, Vol.10(3), pp.310-317.
[38]Toshimasa, Haneyoshi, Atsuo Kawamura, Richard G.Hoft, Waveform Compensation of PWM Inverter Cyclic Fluctuating Loads, IEEE Trans, on Industry Application, Vol.24,No.4, July,1988, pp.582-589.
[39]C.Rech, H.Pinheiro, H.A.Grudling, H.L.Hey, J.R.Pinheiro, Analysis and Design of a Repetitive Predicitive-PID Controller for PWM Inverters, IEEE PESC,2001, pp.986-991.
[40]Ying-Yu Tzou, Rong-Shyang Ou, Shih-Liang Jung, Meng-Yueh Chang, High Performance Programmable AC Power Source with Low Harmonic Distortion Using DSP Based Reptitive Control Technique, IEEE Trans, on Power Electronics 1997, Vol.12(4).
[41]C. Rech, H.A. Grundling, J. R. Pinheiro, A Modified Discrete Control Law for UPS Applications, IEEE PESC,2000, pp.1476-1481.
[42]Y. Nishida, T. Haneyoshi, Preditive Instantaneous Value Controlled PWM Inverter for UPS, IEEE PESC,1992, pp.776-783.
[43]谢孟,蔡昆,胜晓松,王平,李耀华.400Hz中频单相电压源逆变器的输出控制及其并联运行控制,中国电机工程学报,2006,26(6),pp.78-82.
[44]林新春,康勇,陈坚,陈息坤.UPS逆变电源波形补偿技术研究,电气传动,2002(6)pp.35-37.
[45]许爱国,谢少军.电容电流瞬时值反馈控制逆变器的数字控制技术研究,中国电机工程学报,2005,25(1),pp.49-53.
[46]李俊林,熊健,康勇.逆变器数字多环控制技术研究,电工电能新技术,2004,Vo1.23(4),pp.56-59.
[47]黄蕾.并联逆变器控制技术的研究[D].硕士学位论文,南京航空航天大学,2004：22.23.
[48]郝浩,李宏.逆变电源并联技术研究[J].电源技术应用,2009.2：16-18.
[49]何中一.PWM逆变器的控制及并联运行控制研究[D].博士学位论文,南京航空航天大学,2008.
[50]Josep M. Guerrero, Lijun Hang, and Javier Uceda, Control of distributed uninterruptible power supply systems, IEEE Trans. Industrial Electronics,2008,55 (8):2845-2859.
[51]T. Iwade, S. Komiyama, Y. Tanimura, et al, A novel small-scale UPS using a parallel redundant operation system, in Proc. IEEE INTELEC,2003:480～483.
[52]A.P. Martins, A.S. Carvalho, and A.S. Araujo, Design and implementation of a current controller for the parallel operation of standard UPSs, in Proc. IEEE IECON,1995:584～ 589.
[53]J.-F. Chen, and C.-L. Chu, Combination voltage-controlled and current-controlled PWM inverters for UPS parallel operation, IEEE Trans. Power Electronics,1995,10 (5):547～ 558.
[54]H. van der Broeck, and U. Boeke, A simple method for parallel operation of inverters, in Proc.IEEE INTELEC,1998:143～150.
[55]Yunqing Pei, Guibin Jiang, Xu Yang, et al, Auto-master-slave control technique of parallel inverters in distributed AC power systems and UPS, in Proc. IEEE PESC,2004:2050～ 2053.
[56]肖岚,胡文斌,蒋渭忠等.基于主从控制的逆变器并联系统研究,东南大学学报(自然科学 版),2002,32(1)：133～137.
[57]T.-Fu Wu, Y.-K. Chen, and Y.-H. Huang,3C strategy for inverters in parallel operation achieving an equal current distribution, IEEE Trans. Industrial Electronics,2000,47 (2):273 ～281.
[58]K. Piboonwattanakit, and W. Khan-ngern, Design of two parallel inverter modules by circular chain control technique, in Proc. IEEE PEDS,2007:1518～1522.
[59]何中一,邢岩,付大丰.模数混合分布式逆变器并联控制方法,中国电机工程学报,2007,27(4)：113～117.
[60]Y.-K. Chen, Y.-E. Wu, T.-F. Wu, et al, ACSS for paralleled multi-inverter systems with DSP-based robust controls, IEEE Trans. Aerospace and Electronic Systems,2003,39 (3): 1002～1015.
[61]Xiao Sun, Yim-Shu Lee, and Dehong Xu, Modeling, analysis, and implementation of parallel multi-inverter systems with instantaneous average-current-sharing scheme, IEEE Trans. Power Electronics,2003,18 (3):844～856.
[62]肖岚,陈良亮,李睿等,基于有功和无功环流控制的DC-AC逆变器并联系统分析.与实现,电工技术学报,2005,20(10)：7～12.
[63]纪明伟.分布式发电中微电网技术控制策略研究[D].合肥工业大学,2009.
[64]张丹红,李乐,刘开培.无互联线逆变器并联控制的一种改进下垂算法[J].武汉大学学报,2006,39(5)：97-102.
[65]刘爱忠.逆变器控制技术的研究[D].南京航天航空大学,2007.
[66]Katiraei F, Iravani M R.Power management strategies for a microgrid with multiple distributed generation units [J].IEEE Transactions on Power Systems,2006,21 (4):1822-1831.
[67]De Brabandere K. Voltage and frequency droop control in low voltage grids by distributed generators with inverter front-end [D]. Faculteit Ingenieursw-etenschappen, K.U.Leuven, Belgium,2006.