Abstract：This paper addresses the high-frequency harmonic stability of meshed inverters in islanded microgrid.Firstly,the impedance based closed-loop transfer function matrix of the microgrid which contains many meshed inverters is obtained.Then the stability of the system is assessed by the Matrix-Fraction Description (MFD) stability criterion.The analysis of the system has smaller amount of computations and simple character because of the impedance-based analytical approach.Furthermore,simulations and experimental results are performed to validate the effects of the line parameter and control parameter of the voltage and current controllers on stability.In addition,the case verify the correctness of the system modeling and the effectiveness of the MFD stability criterion.
[1] 沈沉,吴翔宇,王志文,等.微电网实践与发展思考[J].电力系统保护与控制,2014,42(5):1-11. Shen Chen,Wu Xiangyu,Wang Zhiwen,et al.Practice and rethinking of microgrids[J].Power System Protection and Control,2014,42(5):1-11. [2] 曹智平,周力行,张艳萍,等.基于供电可靠性的微电网规划[J].电力系统保护与控制,2015,43(14):10-15. Cao Zhiping,Zhou Lixing,Zhang Yanping,et al.Micro-grid planning based on supply reliability[J].Power System Protection and Control,2015,43(14):10-15. [3] 王成山,武震,李鹏.微电网关键技术研究[J].电工技术学报,2014,29(2):1-12. Wang Chengshan,Wu Zhen,Li Peng.Research on key technologies of microgrid[J].Transactions of China Electrotechnical Society,2014,29(2):1-12. [4] 张新昌.微电网运行控制解决方案及应用[J].电力系统保护与控制,2014,42(10):141-146. Zhang Xinchang.Solution and application of micro-grid operation control[J].Power System Protection and Control,2014,42(10):141-146. [5] 张明锐,杜志超,王少波,等.高压微网运行模式切换控制策略[J].电工技术学报,2014,29(2):153-162. Zhang Mingrui,Du Zhichao,Wang Shaobo,et al.Control strategies of high-voltage microgrid for operation modes switching[J].Transactions of China Electrotechnical Society,2014,29(2):153-162. [6] Dong D,Wen B,Boroyevich D,et al.Analysis of phase-locked loop low-frequency stability in three-phase grid-connected power converters considering impedance interactions[J].IEEE Transactions on Industrial Electronics,2015,62(1):310-321. [7] Moamed A R I,Saadany E F.Adaptive decentralized droop controller to pteserve power sharing stability of paralleled inverters in distributed generation microgrids[J].IEEE Transactions on Power Electronics,2008,23(6):2806-2816. [8] Wang X,Duarte J,Hendrix M A M,et al.Modelling and analysis of grid harmonic distortion impact of aggregated DG inverters[J].IEEE Transactions on Power Electronics,2011,26(3):786-797. [9] Zhang Shao,Jiang Shuai,Lu Xi,et al.Tesonance issues and damping techniques for grid-connected inverters with long transmission cable[J].IEEE Transactions on Power Electronics,2014,29(1):110-120. [10] 候李祥,卓放,师洪涛,等.基于系统稳定性分析的微电网阻抗测量技术[J].电工技术学报,2015,30(22):153-162. Hou Lixiang,Zhuo Fang,Shi Hongtao,et al.New techniques for measuring impedance characteristics of an islanded microgrid based on stability analysis[J].Transactions of China Electrotechnical Society,2015,30(22):153-162. [11] Pogaku N,Prodanovic M,Green T.Modeling,analysis and testing of autonomous operation of an inverter-based microgrid[J].IEEE Transactions on Power Electronics,2007,22(2):613-625. [12] Kahrobaeian A,Mohamed A.Analysis and mitigation of low-frequency instabilities in autonomous medium voltage converter-based microgrids with dynamic loads[J].IEEE Transactions on Industrial Electronics,2014,61(4):1643-1658. [13] Guo Xiaoqiang,Lu Zhigang,Wang Baocheng,et al.Dynamic phasors-based modeling and stability analysis of droop-controlled inverters for microgrid applications[J].IEEE Transactions on Smart Grid,2014,5(6):2980-2987. [14] Sun Jian.Impedance-based stability criterion for grid-connected inverters[J].IEEE Transactions on Power Electronics,2011,26(11):3075-3078. [15] Yoon C,Wang X,Miguel F D S F,et al.Harmonic stability assessment for multi-paralleled,grid-connected inverters[C]//Electronics and Application Conference and Exposition,IEEE,2015:1098-1103. [16] Wang X,Blaabjerg F,Chen Z,et al.Resonance analysis in parallel voltage-controlled distributed generation inverters[J].Applied Power Electronics Conference & Exposition,2013:2977-2983. [17] Tao Yong,Liu Quanwei,Deng Yan,et al.Analysis and mitigation of inverter output impedance impacts for distributed energy resource interface[J].IEEE Transactions on Power Electronics,2015,30(7):3563-3576. [18] Wang Xiongfei,Blaabjerg F,Wu Weimin,et al.Modeling and analysis of harmonic stability in an AC power-electronics-based power system[J].IEEE Transactions on Power Electronics,2014,29(12):6421-6432. [19] 郑大钟.线性系统理论[M].北京:清华大学出版社,1990:259-304. [20] Fang C H.A new approach for calculating doubly coprime matrix fraction descriptions[J].IEEE Transactions on Automatic Control,1992,37(1):138-141. [21] Vafiadis D,Karcanias N.Generalized state-space realizations from matrix fraction descriptions[J].IEEE Transactions on Automatic Control,1995,40(6):1134-1137.
2017, Vol. 32 
