基于原对偶仿射尺度内点法的电力系统无功优化算法

PRIME DUAL AFFINE SCALING INTERIOR POINT METHOD BASED REACTIVE POWER OPTIMIZATION IN POWER SYSTEMS

本文对潮流雅可比矩阵进行变换直接求取灵敏度系数，建立求解无功优化问题的线性规划模型，并提出采用一种有效的方法——原对偶仿射尺度内点法求解线性规划模型。该算法具有多项式时间复杂性。实际系统的计算结果表明，此算法的迭代收敛次数稳定，与系统规模关系不大，在求解大规模系统无功优化问题时，其性能优于具有指数时间复杂性的单纯性法。

Based on the sensitivity coefficients computed directly by transformation of power flow Jacobian matrix, linear programming model for solving reactive power optimization is established in this paper. An efficient algorithm, prime dual affine scaling interior point method, which has polynomial time complexity, is presented to solve this model. The computation results of practical power systems show that the number of iterations of this algorithm is independent of system's size, and it is superior to simplex method which has exponential time complexity in solving reactive power optimization of large scale power systems.