原-对偶内点法和预测-校正内点法在最优潮流的应用  

The application of primal-dual IPM and predictor-corrector IPM on optimal power flow

作　　者：杨利水[1] 杨旭 顾家翠[3] 

机构地区：[1]保定电力职业技术学院,河北保定071051 [2]深圳供电局,广东深圳518000 [3]广东电网公司教育培训评价中心,广东广州510520

出　　处：《华北电力大学学报（自然科学版）》2012年第6期29-34,共6页Journal of North China Electric Power University：Natural Science Edition

摘　　要：最优潮流问题在数学上是一个带约束条件的优化问题,其模型包括目标函数以及等式约束条件和不等式约束条件。利用原-对偶内点法和预测-校正内点法进行最优潮流的计算,原-对偶内点法是在保持原始可行性和对偶可行性的同时,沿一条原-对偶路径寻找最优解。预测-校正法在进行泰勒展开时保留了高阶项,首先通过修正方程计算仿射方向,在计算得到仿射扰动因子后回代入修正方程得到校正方向,进而得到修正量。预测-校正法具有比原-对偶法更好的收敛性,用Matlab实现了原-对偶内点法和预测-校正内点法进行潮流优化计算,并用算例进行了验证。Optimal power flow is a nonlinear optimization problem subjected to constraints. The model of OPF includes the objective function, equality constraints and inequality constraints. The paper put Primal-dual IPM and Predictor- corrector IPM in the calculation of Optimal power flow. Primal-dual IPM keeps the primal feasibility and the dual feasi- bility when searching the optimal solution along the primal-dual path. Predictor-corrector IPM keeps the higher order term when doing the Taylor expansion. Therefore, PCIPM has a better convergence than PDIPM. The Primal-dual IPM and the Predictor-corrector IPM are introduced and the codes written in matlab language are given and examples are presented.

关 键 词：最优潮流 非线性规划 内点法 原-对偶法 预测-校正法 

分 类 号：TM744[电气工程—电力系统及自动化]