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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。
The power system is partitioned according to certain rules. By introducing virtual nodes, the boundary network between the regions is constructed. The nonlinear primal-dual interior point method with embedded discrete penalty is adopted to solve the linear matrix equations. Diagonal edge structure. Based on this, we propose a decomposition method based on the LDU decomposition of the matrix to find the system-wide approximate optimal discrete solution quickly. The IEEE118 node test system is taken as an example to verify the effectiveness of the proposed method through a comparative analysis of the centralized optimization method and the decomposition method.