基于矩阵束的电力系统小干扰稳定性分析模型及其特征分析方法  

Small Signal Stability Analysis Model of Power System and Its Eigen-Analysis Method Based on Matrix Pencil

作　　者：吴小珊 李崇涛[2] 曾柯寒 洪潮 赵利刚 周挺辉 WU Xiaoshan;LI Chongtao;ZENG Kehan;HONG Chao;ZHAO Ligang;ZHOU Tinghui(State Key Laboratory of HVDC,Electric Power Research Institute,CSG,Guangzhou 510663,China;Department of ElectricalEngineering,Xi’an Jiaotong University,Xi’an 710049,China)

机构地区：[1]直流输电技术国家重点实验室(南方电网科学研究院),广州510663 [2]西安交通大学电气工程学院,西安710049

出　　处：《南方电网技术》2020年第7期39-45,共7页Southern Power System Technology

基　　金：中国南方电网有限责任公司科技项目(ZBKJXM20180061);国家自然科学基金项目(51977167)。

摘　　要：当前电力系统小干扰稳定性分析普遍使用基于增广状态矩阵描述的线性化模型。然而,该模型的实现较为复杂,且编程繁琐,为后续的计算分析带来极大不便。鉴于此,本文提出了一种基于矩阵束的新型电力系统线性化模型,并给出了建立在新模型上的特征值求解的位移逆变换稀疏实现方法、灵敏度求解、能控能观性分析等多个特征分析技术。新模型易于建模和编程,具有更好的稀疏性,适合大规模电力系统的小干扰分析。最后结合典型系统算例验证了该模型的正确性。The augmented linearized state matrix model is commonly used in the small signal analysis of power systems.However,the mathematical implementation of this model is complicated for implementation,which brings inconvenience to small-signal stability analysis.In view of this,this paper presents a new type of power system linearization model based on matrix pencil.The eigen-analysis techniques including shift-invert transformation,sensitivity analysis,controllability and observability analysis based on the new model are given.The new model,which is with higher sparsity,is easy to implement and is suitable for small signal analysis of large-scale power systems.The correctness of the new model is verified with typical system examples.

关 键 词：小干扰稳定 矩阵束模型 位移逆变换 特征值灵敏度 能观性与能控性 

分 类 号：TM732[电气工程—电力系统及自动化]