静态电压稳定域边界的非线性近似解析表达  

Analytical Forms of Boundaries of Static Voltage Stability Region with Nonlinear Terms

作　　者：韩琪 [1] 余贻鑫 [1] 贾宏杰 [1] 李鹏 [1] Stephen T LEE  Pei ZHANG  

机构地区：天津大学电气与自动化工程学院,天津市,300072[1] 美国电力科学研究院,Palo Alto,美国[2]

出　　处：《电力系统自动化》2005年第11期10-14,共5页Automation of Electric Power Systems

基　　金：国家重点基础研究发展计划专项资助项目(2004CB217904)国家自然科学基金重大资助项目(50595413)美国电力科学研究院合作科研基金资助项目(EPRI EP-P11543/C5729)

摘　　要：在电力系统控制决策与运行分析中,对系统稳定运行区域的边界面几何形状的认识具有重要的意义。文中对注入功率空间中静态电压稳定域边界面(即潮流可解域边界)的二次特性进行了深入的探讨。通过对潮流方程雅可比矩阵的行列式在临界点附近进行泰勒级数展开并保留二次项,得到了计及非线性项的边界近似解析表达式。在计算过程中应用了潮流方程特征值和特征向量灵敏度系数的计算。该方法的优点是算法本身不涉及任何非线性方程的迭代求解,且所提出的非线性解析表达式能在大范围内较好地逼近真实稳定域边界。通过IEEE系统的算例对所提出的方法的精确性进行了验证。Knowledge of the stability boundary geometrical configuration is important to analyze the robustness of operating points and gives guidance for the development of control strategies and decision-making. This paper proposes a method to deeply exploit the quadratic properties of the boundary structure of static voltage stability region, which is also called power flow feasible region, in power injection space. By making quadratic Taylor series expansion of the Jacobian matrix determinant of power flow equations near critical operating points, nonlinear terms are included in the analytical boundary approximation. Eigenvalue and eigenvector sensitivities are introduced into the analysis of power flow equations and employed to the boundary approximation. An advantage of the method is that no iterative solution of nonlinear equations is required. This nonlinear analytical expression closely matches the real boundary over a wide range and greatly promotes the accuracy of present linearization method which only gives an approximation of the local part. Various examples of IEEE power systems give an illustration of the effectiveness and accuracy of the method.

关 键 词：静态电压稳定 静态电压稳定域 潮流可解域边界 鞍结分岔 二次近似 特征值灵敏度 特征向量灵敏度 

分 类 号：TM712[电气工程—电力系统及自动化] TM714.2