合理利用空间分布特性,对于快速求取多组最小断点集(MBPS)具有非常重要的作用。文中阐述了MBPS的空间分立特性、对称特性和聚类特性的含义及其形成原因。将空间分布特性与二进制粒子群算法结合,提出了一种MBPS的优化求取方法。该方法实现了全网MBPS的并行求取,有效解决了“维数灾难”问题;而且缩小了粒子的搜索空间,提高了优化算法的收敛速度。同时,可容易地取得多组位置差异较大的MBPS。以某省级电网500kV线路网络为算例进行分析,结果表明了所提出方法的正确性和有效性。
It is very important to utilize space distribution characteristics to obtain a number of minimum break point sets(MBPS)quickly.This paper elaborates the definition and the cause of formation of MBPS's space discrete characteristics,symmetry characteristics and clustering characteristics.An optimization method which contains both the space distribution characteristics and the binary particle swarm optimization is proposed for MBPS computation.The method realizes parallel computation of the whole power grids MBPS and solves the dimension disaster problem effectively.The search space of particles is narrowed,which improves the convergence speed of the optimization algorithm.At the same time,it is easy to obtain many minimum break point sets whose positions have big difference.Finally,taking the500kV line network of a provincial grid as an example,the results show that the proposed method is correct and valid.