电力系统静态电压稳定域边界近似的空间切向量法  

Approximating Voltage Stability Region Boundary in Power Systems Using Tangent Vector

作　　者：姜涛[1] 李晓辉 李雪[1] 陈厚合[1] 李国庆[1] JIANG Tao;LI Xiaohui;LI Xue;CHEN Houhe;LI Guoqing(Department of Electrical Engineering,Northeast Electric Power University,Jilin 132012,Jilin Province,China)

机构地区：[1]东北电力大学电气工程学院,吉林省吉林市132012

出　　处：《中国电机工程学报》2020年第12期3729-3743,共15页Proceedings of the CSEE

基　　金：国家自然科学基金项目(51607033,51677023,51877033);国家重点研发计划项目(2016YFB0900903)。

摘　　要：针对电力系统静态电压稳定域边界(staticvoltage stability region boundary,SVSRB)近似解析表达式的构建问题,该文提出一种SVSRB近似的空间切向量法。首先采用SVSRB搜索的预测–校正算法搜索静态电压稳定域(static voltagestabilityregion,SVSR)临界点,然后基于该临界点处空间切向量的空间角与最大空间角阈值的关系,对SVSRB进行初始分段近似,以SVSR临界点到初始近似边界的距离与最大距离误差阈值的关系为依据,对初始近似边界进行二次近似,计及SVSRB曲率的变化,得到更为精确的SVSR分段超平面近似边界,实现SVSRB近似解析表达式的构建,该方法可有效提高SVSRB近似精度,增强电力系统电压稳定的态势感知能力。最后,将所提方法应用于WECC3机9节点测试系统和欧洲电网13659节点测试系统,结果表明,所提方法可有效实现SVSRB精确近似解析表达和准确构建。To solve analytical expression of static voltage stability region boundary(SVSRB)approximation hyperplanes in power system,a tangent vector method was developed in this paper to approximate the SVSRB.The SVSRB prediction-correction tracking algorithm was firstly employed to explore the critical point of static voltage stability region(SVSR),then the space angle of the tangent vector at saddle hide bifurcation(SNB)was used to separate the initial piecewise approximation segmentations of the SVSRB.Further,taking into account of the curvature changes for the SVSRB,the initial approximated SVSRB was quadratic approximated to obtain a more precise approximation for SVSRB by using the hyperplanes based on the distance between the SNB and the initial approximation hyperplanes,and then the analytical expressions of the SVSRB approximation hayperplanes were solved.Compared with the existing SVSRB approximation method,the proposed method can significantly improve the approximation precision of SVSRB and the situational awareness in power system voltage stability.The WECC 9-bus test system and European 13659-bus test system were employed to evaluate the performance of the proposed approach,the results confirm that the proposed approach can realize the analytical expressions of SVSRB approximation hyperplanes to obtain highly precise SVSR.

关 键 词：静态电压稳定域 静态电压稳定域边界 切向量 分段近似 超平面 解析表达式 

分 类 号：TM74[电气工程—电力系统及自动化]