电力系统无功综合优化的线性规划内点法

LINEAR PROGRAMMING INTERIOR POINT METHOD OF REACTIVE POWERCOMPRENSIVE OPTIMIZATION IN POWER SYTEMS

本文采用原对偶路径跟踪法直接求解无功综合优化问题的非标准形式的线性规划模型。通过消去松驰变量和部分拉格朗日乘子变量，使得在每步迭代中求解的线性方程组的系数矩阵为对称稀疏矩阵，可用三角分解法有效求解。实际系统的计算结果表明，当系统的约束条件和变量数目增加时，此算法的迭代次数变化较少。

Prime-dual path-following method is directly used for solving linear programming model of reactive power Comprensive optimization which may be expressed by non -standard form.By means of elimination of slack variables and some lagrangian multipliers, the coefficient matrix of linear equations to be solved in each iteration becomes symmetrical and sparse,and the equations can be effectively solved using triangular factorization.The computation results of practical power systems show that the number of itterations of this algorithm seldom varies when the number of constraints and variables increases.