A modified Primal-Dual Logarithmic-Barrier Method for solving the Optimal Power Flow problem with discrete and continuous control variables
A modified Primal-Dual Logarithmic-Barrier Method for solving the Optimal Power Flow problem with discrete and continuous control variables
复制标题
一种改进的原始对数障碍法求解离散和连续控制变量的最优潮流问题
DOI：
10.1016/j.ejor.2012.05.021
复制
发表时间：
2012
期刊：
影响因子：
--
通讯作者：
G. Costa
中科院分区：
文献类型：
--
作者：
E. Soler;V. A. Sousa;G. Costa
求解最优潮流问题的目的是确定输电系统的最优状态，即在满足系统物理和运行约束的情况下，优化系统性能的电压幅值、相角和变压器的抽头比。将最优潮流问题建模为大规模混合离散非线性规划问题。本文提出了一种处理最优潮流问题离散变量的方法。提出了一种惩罚函数。由于在目标函数中引入了罚函数，得到了一系列只含连续变量的非线性规划问题，并且这些问题的解收敛于混合问题的解。所得到的非线性规划问题用原始-对偶对数障碍法求解。利用IEEE14、30、118和300节点测试系统进行的数值试验表明，该方法是有效的。
The aim of solving the Optimal Power Flow problem is to determine the optimal state of an electric power transmission system, that is, the voltage magnitude and phase angles and the tap ratios of the transformers that optimize the performance of a given system, while satisfying its physical and operating constraints. The Optimal Power Flow problem is modeled as a large-scale mixed-discrete nonlinear programming problem. This paper proposes a method for handling the discrete variables of the Optimal Power Flow problem. A penalty function is presented. Due to the inclusion of the penalty function into the objective function, a sequence of nonlinear programming problems with only continuous variables is obtained and the solutions of these problems converge to a solution of the mixed problem. The obtained nonlinear programming problems are solved by a Primal–Dual Logarithmic-Barrier Method. Numerical tests using the IEEE 14, 30, 118 and 300-Bus test systems indicate that the method is efficient.