基于潮流雅可比行列式的静态电压稳定分析  

Static Voltage Stability Analysis Based on Power Flow Jacobian Determinant

作　　者：徐成司 王子翰 董树锋[1] 唐坤杰 宋永华 XU Chengsi;WANG Zihan;DONG Shufeng;TANG Kunjie;SONG Yonghua(College of Electrical Engineering,Zhejiang University,Hangzhou 310027,Zhejiang Province,China;State Key Laboratory of Internet of Things for Smart City and Department of Electrical and Computer Engineering,University of Macao,Taipa 999078,Macao SAR,China)

机构地区：[1]浙江大学电气工程学院,浙江省杭州市310027 [2]澳门大学智慧城市物联网国家重点实验室,中国澳门特别行政区氹仔区999078

出　　处：《中国电机工程学报》2022年第6期2096-2108,共13页Proceedings of the CSEE

基　　金：国家自然科学基金项目(52077193)。

摘　　要：静态电压稳定分析是电力系统稳定性分析的重要组成部分。根据潮流雅可比矩阵在静态电压稳定临界点处的奇异性,采用使潮流雅可比行列式等于零的方式描述该特性,基于此进行静态电压稳定分析。构造可直接求解静态电压稳定临界点的方程,提出一种统一求解算法,进而针对统一求解需多次计算潮流雅可比行列式的不足,结合牛顿-拉夫逊法、正割法和二分法提出一种分解求解算法。然后,利用潮流雅可比行列式,并结合线路负载率和故障率,提出可用于关键线路辨识的静态电压稳定指标。在算例部分通过不同规模电力系统将所提静态电压稳定临界点计算方法与现有方法对比分析,总结不同方法的特点和适用场景,并利用所提静态电压稳定指标分析IEEE 39节点系统的关键线路,验证所提指标的合理性。Static voltage stability analysis is an important part of the power system stability analysis. According to the singularity of power flow Jacobian matrix at the critical point of static voltage stability, the characteristic was described by making the power flow Jacobian determinant equal to zero, and the static voltage stability analysis was carried out based on it.The equation which can directly solve the critical point of static voltage stability was constructed, and a unified solution method was proposed. In order to solve the problem that the Jacobian determinant of power flow needs to be calculated many times in the unified solution method, a decoupled solution method was proposed by combining the Newton-Raphson method,secant method and bisection method. Then, by using the Jacobian determinant of power flow and combining the line load rate and line failure rate, a static voltage stability index was proposed, which could be used for the identification of the vulnerable lines. In simulation results the proposed static voltage stability critical point calculation methods were compared with the existing methods through different scale power systems, and the characteristics and applicable scenarios of different methods were summarized. The vulnerable lines of the IEEE 39 bus system were analyzed by the proposed static voltage stability index, and the rationality of the index was verified.

关 键 词：静态电压稳定 潮流雅可比矩阵 奇异性 雅可比行列式 正割法 二分法 静态稳定指标 

分 类 号：TM71[电气工程—电力系统及自动化]