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电网技术  2015 

含DFIG的电力系统随机建模及小干扰随机稳定分析

DOI: 10.13335/j.1000-3673.pst.2015.09.005, PP. 2404-2410

Keywords: 双馈风机,随机激励,小干扰稳定,随机微分方程

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Abstract:

针对风功率随机波动给电力系统稳定分析带来的新问题,建立了计及风功率随机波动的双馈感应发电机(doublyfedinductiongenerator,DFIG)的详细动态模型,以及用于分析含DFIG的电力系统小干扰随机稳定性的随机微分方程。给出了随机稳定的判据,并推导出系统状态量期望和方差的解析表达式。通过对单机无穷大和IEEE3机9节点系统进行算例分析,验证了所建随机模型的可行性。从理论上分析了风功率随机波动对系统状态变量的影响,还使用Euler-Maruyama数值方法验证了理论分析的正确性。结果表明,机械功率随机波动对不同状态变量的影响不同。状态变量的波动幅度由系统潮流、系统参数、随机项波动强度和时间决定。而在多机系统中,风机机械功率波动也会对系统中其他动态元件的状态变量造成影响。

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