电力系统无功优化的内点非线性互补约束算法  

Interior-point nonlinear algorithm with complementarity constraints for reactive-power optimization

作　　者：李滨[1] 韦化[1] 李佩杰[1] 

机构地区：[1]广西大学电气工程学院,广西南宁530004

出　　处：《电力自动化设备》2010年第2期53-58,共6页Electric Power Automation Equipment

基　　金：国家自然科学基金项目(50867001);广西教育厅科技项目(200701MS145);国家高校博士学科点专项科研基金(20060593002)~~

摘　　要：建立了一种含离散变量的电力系统无功优化的非线性互补约束模型,并提出相应的现代内点非线性互补算法。该方法先将变压器抽头和电容器组数等离散变量按连续化处理,进行无功优化计算,快速寻求离散变量的两界;用所得结果作为初始解,以离散变量的两界构造其互补约束条件。该方法有效地解决了传统方法求解离散量存在的时间与精度之间的矛盾,可精确求解无功优化中可调变压器抽头和可调电容器组别。经多个测试系统的计算结果表明,算法具有收敛性好、计算迅速的特点,能有效地解决含离散变量的大规模电力系统无功优化问题,满足在线运行的需要。A nonlinear reactive-power optimization model with discrete variables and complementarity constraints is established and the corresponding interior-point nonlinear complementary algorithm is presented for power system. The discrete variables of transformer tap and capacitor bank are treated as continuous variables in reactive-power optimization calculation to quickly obtain their upper and lower bounds,which are used as the complementarity constraints of the model. The interior-point nonlinear algorithm is then used to calculate the best solution of transformer tap position and capacitor bank number,which coordinates the calculation time and precision more effectively than traditional methods. The calculative results of several test systems show that,the proposed algorithm has good convergence property and real-time performance,suitable for the on-line reactive-power optimization of large-scale power system With discrete variables.

关 键 词：电力系统 无功优化 离散量 互补约束 内点理论 变压器抽头 电容器组别 

分 类 号：TM761.1[电气工程—电力系统及自动化]