基于互补内点法的多目标静态电压稳定约束无功规划  

Static voltage stability constrained multi-objective reactive power planning based on complementary interior point method

作　　者：曲绍杰[1] 王绍然[1] 刘明波[2] 高玉领 姜旭[1] 

机构地区：[1]吉林省电力有限公司,吉林长春130021 [2]华南理工大学电力学院,广东广州510640 [3]山东电力超高压公司,山东济南250021

出　　处：《电力系统保护与控制》2010年第23期49-54,86,共7页Power System Protection and Control

基　　金：国家自然科学基金项目(50777021);国家电网公司科技项目(20081360)~~

摘　　要：将基于非线性互补理论的内点法成功应用于求解含有电压稳定约束的无功规划问题。将内点法中的KKT条件利用互补松弛条件转化为等式约束,并用牛顿法求解。选取电压稳定裕度不低于某个允许的最小稳定裕度表示电压稳定约束。引入两组变量和潮流方程,将电压稳定裕度可以用正常状态和临界状态的负荷功率显式表达。在该模型的基础上,增加了系统的无功储备为目标之一,能够增加系统的静态电压稳定裕度。在IEEE14、118节点系统中试验表明,该算法具有良好的计算精度和收敛性。A new interior point method based on the theory of nonlinear complementary is applied successfully to solve the problem of reactive power planning constrained static voltage stability. The KKT conditions in interior point method is transformed into the equation constraint using complementary relaxation conditions and the equation is solved by Newton＇s method. The voltage stability constraints are expressed in a way which the voltage stability margin is no less than the allowed minimum number. Introducing two sets of variables and flow equations, the voltage stability margin can be explicitly presented by load power in a normal state and the critical state. In the model, reactive power reserve of the system is increased to one of the objectives, which can strengthen the system static and dynamic voltage stability margin. Tests in the IEEE 14 and 118-node system show that the algorithm possesses good accuracy and convergence. This work is supported by National Natural Science Foundation of China （NSFC） （No.50777021）.

关 键 词：电压稳定 无功优化 非线性互补问题 内点法 

分 类 号：TM712[电气工程—电力系统及自动化]