对角加边模型无功优化分解算法(英文)

Decomposition Algorithm for Reactive-power Optimization Based on Block Bordered Diagonal Model

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的结构。据此结合矩阵的LDU分解提出一种分解方法实现快速地寻找全系统近似最优离散解。以IEEE118节点试验系统作为算例,通过对集中优化方法和分解方法进行了比较分析来验证所提方法的有效性。

This method decomposes a power system into several sub-areas according to some rules, and then builds a border network by inserting fictitious buses in interconnection lines between sub-areas. The nonlinear primal-dual interior-point algorithm incorporating discretization penalty is applied to solving this problem. Therefore, the coefficient matrix of the linear correction equation obtained has blocked bordered diagonal structure. Finally, a decomposition method based on LDU decomposition is proposed to solve the linear correction equation of each subarea independently and hence near optimal discrete solutions of the whole system can be found. The result on IEEE 118-bus test system validates effectiveness of the proposed algorithm through comparison of centralized optimization and decomposition method.