多机系统全局相轨线的暂态稳定性分析  

Transient Stability Analysis of the Global Phase Portraits in Multi-machine System

作　　者：马美玲 王杰[1] 王子强 李鹏瀚 熊林云 MA Meiling;WANG Jie;WANG Ziqiang;LI Penghan;XIONG Linyun(School of Electronic Information and Electrical Engineering, Shanghai Jiao Tong University,Minhang District, Shanghai 200240, China)

机构地区：[1]电子信息与电气工程学院(上海交通大学)

出　　处：《中国电机工程学报》2019年第15期4385-4394,共10页Proceedings of the CSEE

基　　金：国家自然科学基金项目(61374155)~~

摘　　要：为了进一步研究电力系统功角暂态稳定的结构特征,该文提出计及无穷远奇点的稳定域定性分析方法,给出相平面上全局相轨线(global phase portraits)的结构分布。首先,给出稳定域和无穷远奇点的理论基础,利用微分流形中子流形同胚变换的不变性,将系统状态轨线映射到Poincaré球面,借助微分方程定性理论求出系统无穷远奇点,分析系统轨线在无穷远处的形态。其次,根据同调性对多机电力系统进行分群与等值处理,通过分析闭轨线、鞍点分界线和无穷远奇点的稳定性,给出全局相平面上的暂态功角稳定域,讨论阻尼系数以及不同故障切除情况对稳定域边界的影响。最后,通过实验验证该方法在电力系统暂态功角稳定域分析中的有效性。To investigate the structural characteristics of angle transient stability in power systems, a qualitative analysis technique including infinite singularities was proposed in this paper, focused on the stable boundary of the global phase portraits. Firstly, the basic concepts of the stability region and infinite singularities were introduced. The phase portrait was mapped to the Poincaré sphere and the infinite singularities of the differential algebraic equations were solved by the qualitative theory of differential equations and invariant submanifolds in the differential manifold. Secondly, the multi-machine power system was transformed into an equivalent model based on coherency characteristics of rotor angles. By analyzing the separatrix closed trajectories of saddle points and the infinity singularities, the stability region on the global phase plane was described in detail to discuss the influence of damping coefficient, and the stability region boundary under different fault conditions. Finally, the effectiveness of the proposed method in transient stability analysis was invalidated by simulation results.

关 键 词：无穷远奇点 稳定域 全局相轨线 Poincaré球面 同调性 

分 类 号：TM712[电气工程—电力系统及自动化]