A Review on the Small Signal Stability of Microgrid

doi:10.11985/2016.07.006

Abstract

Abstract:

Small signal stability is the key issue in the operation and control of a microgrid. For the small signal stability of an inverter-based microgrid, existing analysis methods mainly contain eigenvalue analysis using state-space models, impedance analysis based on impedance models and nonlinear analysis based on bifurcation theory. This paper reviews these analytical methods as well as their respective advantages and disadvantages. Finally, for the improvement of the small signal stability, this paper summarizes the research situation in terms of the optimization of controller parameters, the improvement of droop control and the optimized design of hierarchical control strategy.

Key words: Microgrid, small signal stability, eigenvalue analysis, impedance analysis, bifurcation theory

CLC Number:

TM615

Shuya Wang,Jianhui Su,Xiangzhen Yang,Yan Du. A Review on the Small Signal Stability of Microgrid[J]. Journal of Electrical Engineering, 2016, 11(7): 39-45.

Figures/Tables 4

References 36

[1]	Lasseter R H. Microgrids[C]. Proceeding of IEEE Power Engineering Society Winter Meeting, 2002: 305-308.
[2]	Morozumi S. Microgrid demonstration projects in Japan[C]. IEEE Power Conversion Conference, 2007: 635-642.
[3]	Majumder R . Some aspects of stability in microgrids[J]. IEEE Transactions on Power Systems, 2013,28(3):3243-3252. doi: 10.1109/TPWRS.2012.2234146
[4]	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. doi: 10.7667/j.issn.1674-3415.2014.05.001
	Shen Chen, Wu Xiangyu, Wang Zhiwen , et al. Practice and rethinking of microgrids[J]. Power System Protection and Control, 2014,42(5):1-11. doi: 10.7667/j.issn.1674-3415.2014.05.001
[5]	刘全伟 . 三相交流微电网控制及小信号稳定性研究[D]. 杭州:浙江大学, 2014.
[6]	Prabha Kundur . Power system stability and control[M]. US: Mc Graw Hill, 1994.
[7]	Pogaku N, Prodanović M, Green T C . Modeling, analysis and testing of autonomous operation of an inverter-based microgrid[J]. IEEE Transactions on Power Electronics, 2007,22(2):613-625. doi: 10.1109/TPEL.2006.890003
[8]	张建华, 苏玲, 刘若溪 , 等. 逆变型分布式电源微网小信号稳定性动态建模分析[J]. 电力系统自动化, 2011,34(22):97-102.
	Zhang Jianhua, Su Ling, Liu Ruoxi , et al. Small-signal dynamic modeling and analysis of a microgrid composed of inverter-interfaced distributed generations[J]. Automation of Electric Power Systems, 2011,34(22):97-102.
[9]	肖朝霞, 王成山, 王守相 . 含多微型电源的微网小信号稳定性分析[J]. 电力系统自动化, 2009,33(6):61-66.
	Xiao Zhaoxia, Wang Chengshan, Wang Shouxiang . Small signal stability analysis of microgrid containing multiple micro sources[J]. Automation of Electric Power Systems, 2009,33(6):61-66.
[10]	马添翼, 金新民, 黄杏 . 含多变流器的微电网建模与稳定性分析[J]. 电力系统自动化, 2013,37(6):12-17. doi: 10.7500/AEPS201204158
	Ma Tianyi, Jin Xinmin, Huang Xing . Modeling and stability analysis of microgrid with multiple converters, automation of electric power systems[J]. Automation of Electric Power Systems, 2013,37(6):12-17. doi: 10.7500/AEPS201204158
[11]	郑竞宏, 李兴旺, 王燕廷 , 等. 微电网切换至孤岛运行时的小信号稳定性分析[J]. 电力系统自动化, 2012,36(15):25-32.
	Zheng Jinghong, Li Xingwang, Wang Yanting , et al. Small signal stability analysis of a microgrid switching to islanded mode[J]. Automation of Electric Power Systems, 2012,36(15):25-32.
[12]	Coelho E A A, Cortizo P C, Garcia P F D . Small-signal stability for parallel-connected inverters in stand-alone AC supply systems[J]. IEEE Transactions on Industry Applications, 2002,38(2):533-542. doi: 10.1109/28.993176
[13]	Bottrell N, Prodanovic M, Green T C . Dynamic stability of a microgrid with an active load[J]. IEEE Transactions on Power Electronics, 2013,28(11):5107-5119. doi: 10.1109/TPEL.2013.2241455
[14]	姜世公 . 微网孤岛运行模式下阻抗匹配关系和混杂特性研究[D]. 哈尔滨:哈尔滨工业大学, 2013.
[15]	许德志, 汪飞, 阮毅 , 等. 多逆变器并网系统输出阻抗建模与谐波交互[J]. 电机与控制学报, 2014,18(2):1-7.
	Xu Dezhi, Wang Fei, Ruan Yi , et al. Output impedance modeling and harmonic interactions of multiple inverters grid-connected system[J]. Electric Machines and Control, 2014,18(2):1-7.
[16]	Sun J . Small-signal methods for AC distributed power systems-a review[J]. IEEE Transactions on Power Electronics, 2009,24(11):2545-2554. doi: 10.1109/TPEL.2009.2029859
[17]	Middlebrook R D . Input filter considerations in design and application of switching regulators[J]. Ias, 1976.
[18]	Feng X, Liu J, Lee F C . Impedance specifications for stable DC distributed power systems[J]. IEEE Transactions on Power Electronics, 2002,17(2):157-162. doi: 10.1109/TPEL.63
[19]	Burgos R, Boroyevich D, Wang F , et al. On the ac stability of high power factor three-phase rectifiers [C]. Energy Conversion Congress and Exposition, 2010: 2047-2054.
[20]	姜世公, 王卫, 刘桂花 , 等. 微网孤岛运行条件下基于导纳域的稳定性研究[J]. 电力自动化设备, 2013,33(5):19-25.
	Jiang Shigong, Wang Wei, Liu Guihua , et al. Admittance specification stability of islanded microgrid[J]. Electric Power Automation Equipment, 2013,33(5):19-25.
[21]	Liu Z, Liu J, Wang H . Output impedance modeling and stability criterion for parallel inverters with master-slave sharing scheme in AC distributed power system[C]. Applied Power Electronics Conference and Exposition, 2012: 1907-1913.
[22]	李康 . 基于分岔理论的电力系统动态电压稳定性分析[D]. 成都:西南交通大学, 2012.
[23]	Díaz G, González-Morán C, Gómez-Aleixandre J , et al. Scheduling of droop coefficients for frequency and voltage regulation in isolated microgrids[J]. IEEE Transactions on Power Systems, 2010,25(1):489-496. doi: 10.1109/TPWRS.2009.2030425
[24]	Diaz G, Gonzalez Moran C, Gomez Aleixandre J , et al. Composite loads in stand-alone inverter-based microgrids-modeling procedure and effects on load margin[J]. IEEE Transactions on Power Systems, 2010,25(2):894-905. doi: 10.1109/TPWRS.2009.2036360
[25]	白钦予 . 基于分岔理论的微网电压稳定性分析研究[D]. 沈阳:沈阳工业大学, 2015.
[26]	Xu X, Lin T, Zha X . Probabilistic analysis of small signal stability of microgrid using point estimate method[C]. Sustainable Power Generation and Supply, 2009: 1-6.
[27]	Almeida A B , Valenc Ad L E, Coradi Leme R, et al. Probabilistic voltage stability assessment considering renewable sources with the help of the PV and QV curves[J]. Iet Renewable Power Generation, 2013,7(5):521-530. doi: 10.1049/iet-rpg.2012.0265
[28]	李琰 . 基于矩阵摄动理论的微电网小扰动稳定性分析[D]. 天津:天津大学, 2013.
[29]	张明锐, 黎娜, 杜志超 , 等. 基于小信号模型的微网控制参数选择与稳定性分析[J]. 中国电机工程学报, 2012,32(25):9-19.
	Zhang Mingrui, Li Na, Du Zhichao , et al. Control parameter selection and stability analysis of microgrid based on small-signal model[J]. Proceedings of the CSEE, 2012,32(25):9-19.
[30]	Hassan M A, Abido M A . Optimal design of microgrids in autonomous and grid-connected modes using particle swarm optimization[J]. IEEE Transactions on Power Electronics, 2011,26(3):755-769. doi: 10.1109/TPEL.2010.2100101
[31]	Cao W, Su H, Cao J, et al. Improved droop control method in microgrid and its small signal stability analysis[C]. Renewable Energy Research and Application, 2014: 33-39.
[32]	范元亮, 苗逸群 . 基于下垂控制结构微网小扰动稳定性分析[J]. 电力系统保护与控制, 2012,40(4):1-7. doi: 10.7667/j.issn.1674-3415.2012.04.001
	Fan Yuanliang, Miao Yiqun , Small signal stability analysis of microgrid droop controlled power allocation loop[J]. Power System Protection and Control, 2012,40(4):1-7. doi: 10.7667/j.issn.1674-3415.2012.04.001
[33]	Kim J, Guerrero J M, Rodriguez P , et al. Mode adaptive droop control with virtual output impedances for an inverter-based flexible AC microgrid[J]. IEEE Transactions on Power Electronics, 2011,26(3):689-701. doi: 10.1109/TPEL.2010.2091685
[34]	Guerrero J M, Vicuña L G, Matas J , et al. A wireless controller to enhance dynamic performance of parallel inverters in distributed generation systems[J]. IEEE Transactions on Power Electronics, 2004,19(5):1205-1213. doi: 10.1109/TPEL.2004.833451
[35]	Guerrero J M, Vasquez J C, Matas J , et al. Hierarchical control of droop-controlled DC and AC microgrids-a general approach towards standardization[C]. IEEE Industrial Electronics Conference, 2009: 4305-4310.
[36]	Barklund E, Pogaku N, Prodanovic M , et al. Energy management in autonomous microgrid using stability-constrained droop control of inverters[J]. IEEE Transactions on Power Electronics, 2008,23(5):2346-2352. doi: 10.1109/TPEL.2008.2001910

分析方法	优点	缺点
特征值分析法	物理概念明确,原理简单;具有明确、严格的判据	准确的系统参数不易获取;高阶系统的建模与分析较复杂;系统结构或参数发生变化时,需要重新建模与分析,效率低
阻抗分析法	仅通过阻抗匹配关系即可判断系统的稳定性,分析效率高,阻抗值也可通过实验测量获取	三相系统的线性化较复杂;不平衡系统的建模较复杂
非线性分岔分析法	可分析稳定裕度的具体信息,可给出各DG的具体模态	建模过程较为复杂,目前研究局限于简单低阶系统