含离散变量的大规模电力系统无功优化

针对实际电力系统的数学模型包含离散变量和连续变量的特点,提出了一种精确求解电力系统无功优化的方法——内点分支定界法。通过把离散变量连续化,采用原始对偶内点法在可行域内进行全局寻优,结合广度优先遍历的分支定界法对离散变量进行归整处理等办法,找到了比传统无功优化更加合理的全局最优解。为了解决大规模系统计算耗时的问题,又提出了简化的分支定界法以加快求解速度。IEEE-118和IEEE-300系统的计算结果表明:所提出的算法对于求解大规模电力系统的无功优化问题是有效的。

Reactive power optimization in large-scale power systems with discrete variables

This paper presents a new method,IBBM(Interior Branch-and-Bound Method),to gain the exact solution of reactive power optimization,which coincides with that the mathematical model of a practical power system usually includes both discrete and continuous variables.By converting discrete variables into continuous variables,applying the primal-dual interior method to global optimization within the feasible domain and integrating with the branch-and-bound method based on BFS(Breadth-First-Search) for the discrete variables,the more reasonable exact solution can be obtained than the conventional result.Moreover,a simplified branch-and-bound method is proposed to reduce the execution time which increases with the size of system growing.Numerical simulations on two IEEE standard test systems,IEEE-118 and IEEE-300,respectively verify that the proposed algorithm is effective to solve reactive power optimization problem of large scale of power system.