基于二级分裂迭代法的配电网潮流计算方法

二级多重分裂迭代法是一类新的求解大规模稀疏线性代数方程组的有效并行计算方法.文中简单介绍了二级多重分裂迭代法,并结合配电网潮流计算从数学和物理意义上对内分裂、外分裂方法进行描述,继而导出基于二级分裂迭代法的配电网潮流计算方法.作为算例,利用导出的算法对IEEE 32节点系统和一个实际的较大规模配电系统进行了潮流分析计算,并对算法性能进行了分析和比较.研究工作的主要目的是将二级多重分裂迭代法这一新方法引入电力系统的分析计算,并对算法进行一个基本的评估.

A Two-stage Splitting Iterative Method for Power Flow Solution of Distribution Systems

The two-stage multi-splitting iterative method, established in and developed since 1990, is a kind of new and efficient parallel algorithm for solving the large sparse linear system of equations. As an illustrative example, the new algorithm is applied to the load flow solution of large-scale distribution systems. Through the inner/outer splitting of the Jacobian matrix, the algorithm derived is used for load flow solution of both radial distribution systems and distribution networks with loops. Tests on a 32-node system and a practical distribution system show that the method proposed is robust and efficient for load flow solution of distribution systems. In the stage of the single-splitting of Jacobian matrix now, it has broad prospects for applying the two-stage multi-splitting iterative method in large-scale power system analysis.