基于对角加边模型的多区域无功优化分解算法  

A Decomposition Algorithm for Multi-area Reactive-power Optimization Based on the Block Bordered Diagonal Model

作　　者：赵维兴[1] 刘明波[1] 缪楠林[1] 

机构地区：[1]华南理工大学电力学院,广东省广州市510640

出　　处：《电力系统自动化》2008年第4期25-29,40,共6页Automation of Electric Power Systems

基　　金：国家自然科学基金资助项目(50277013)~~

摘　　要：基于对角加边矩阵结构,提出了一种新的多区域电力系统离散无功优化分解算法。该方法先将电力系统按照一定的规则进行分区,通过引入虚拟节点构成各区域之间的边界网络,并采用内嵌离散惩罚的非线性原对偶内点法求解。最终所形成的线性修正方程组的系数矩阵具有对角加边结构。由此提出2种分解方法实现各区域修正方程的独立求解,寻找全系统及其各区域的近最优离散解。以IEEE118节点试验系统和2个实际系统(538节点和1133节点系统)作为算例,通过对集中优化方法和2种分解方法进行比较分析验证了所提出方法的有效性。Based on the block bordered diagonal matrix structure, this paper presents a new discrete decomposition algorithm for the reactive-power optimization in a multi-area power system. The method decomposes a power system into several sub-areas according to certain rules, and establishes border networks between the sub-areas by introducing fictitious buses. The nonlinear primal-dual interior-point algorithm and discretization penalty method are used to solve the problem. As a result, the coefficient matrix of the linear correction equation has a block bordered diagonal structure. To search the quasi-optimal discrete solutions for the whole system and sub-areas, two decomposition methods are proposed to solve the linear correction equation of each sub-area independently. The results on IEEE. 118-bus test system and two practical systems, 538 buses and 1133 buses respectively, validate the effectiveness of the proposed algorithm in comparison with the centralized optimization method.

关 键 词：无功优化 多区域电力系统 非线性原对偶内点法 对角加边矩阵 区域分解 离散控制 

分 类 号：TM744[电气工程—电力系统及自动化] TM732