关于电力系统失稳判据病态研究的评述  

Review on Ill-condition Research of Power System Instability Criterion

作　　者：吕睿 薛禹胜[1,2,3] 黄天罡 薛峰 LYU Rui;XUE Yusheng;HUANG Tiangang;XUE Feng(School of Automation,Nanjing University of Science and Technology,Nanjing 210094,China;NARI Group Corporation(State Grid Electric Power Research Institute),Nanjing 211106,China;State Key Laboratory of Smart Grid Protection and Control,Nanjing 211106,China)

机构地区：[1]南京理工大学自动化学院,江苏省南京市210094 [2]南瑞集团有限公司(国网电力科学研究院有限公司),江苏省南京市211106 [3]智能电网保护和运行控制国家重点实验室,江苏省南京市211106

出　　处：《电力系统自动化》2022年第18期169-178,共10页Automation of Electric Power Systems

基　　金：国家电网有限公司总部科技项目(强不确定环境下电网安全稳定自适应紧急控制关键技术研究及示范应用,5100-202140010A-0-0-00)。

摘　　要：电力系统同步稳定性的分析,必须基于系统受扰轨迹,并从中提取定性或定量的知识。扩展等面积准则(EEAC)证明,互补群映像轨迹上出现动态鞍点(DSP)是拟哈密顿系统失稳的充要条件,而该点的动能则反映了系统的不稳定程度。但是,如果映像系统在DSP附近的时变性太强,则系统在经过该点后可能重返稳定域。这种被称为病态DSP(IDSP)的现象,与Lorenz奇怪吸引子类似,都是复杂性研究中的核心问题,是在3维以下的非线性系统中观察不到的涌现(emergence)现象。IDSP符合DSP的定义,但因该映射系统的强时变性,使已经发生滑步的系统又被拉回了同步而得名。若为了减少计算量而提前终止积分,则必须同时验证对应时段内的时变性不能太强,以免将稳定算例误判为失稳。针对失稳轨迹提前终止积分的各种失稳判据,如EEAC的DSP判据、相平面轨迹的拐点判据、由加速度与速度组成的扩展相平面轨迹的切线判据等,从理论上比较了各判据的强壮性,也给出大量仿真结果进行了验证。The analysis of power system synchronization stability must be based on the disturbed trajectory of the system,and qualitative or quantitative knowledge is extracted from it.The extended equal area criterion (EEAC) proves that the appearance of a dynamic saddle point (DSP) on the trajectory of the complementary group image is a necessary and sufficient condition for the instability of the quasi-Hamiltonian system,and the kinetic energy of this point reflects the degree of the instability of the system.However,if the imaging system is too time-varying around the DSP,the system may return to the stable domain after passing this point.This phenomenon known as ill-conditioned DSP (IDSP),similar to the Lorenz strange attractor,is a core problem in the complexity research,and is an emergent phenomenon that cannot be observed in the nonlinear systems below three dimensions.IDSP conforms to the definition of DSP,but because of the strong time-variability of the mapping system,the system that has already slipped is pulled back into synchronization,hence getting the name.If the integration is terminated in advance to reduce the amount of calculation,it must be verified that the time-varying in the corresponding period cannot be too strong,so as to avoid misjudging the stable case as instability.For the various instability criterions for the in-advance termination of the instability trajectory,such as DSP criterion of EEAC,inflection point criterion of phase plane trajectory,and tangent criterion of extended phase plane trajectory composed of acceleration and velocity,the robustness of each criterion is compared in theory,and is verified by a lot of simulation results.

关 键 词：运动系统稳定性 扩展等面积准则(EEAC) 时变性病态 相轨迹 凹凸性 提前终止积分 

分 类 号：TM712[电气工程—电力系统及自动化]