基于仿射算术优化的不确定系统区间潮流快速分解法

摘要

传统基于单一运行点运算的电力系统潮流计算不能处理系统参数改变和负荷需求变化的不确定性,也无法为时变电力系统安全分析提供有意义的参考,因此潮流区间算法在电力系统潮流计算中得到应用.针对现有潮流区间算法结果保守的问题,利用区间仿射算术来考虑区间变量之间的相关性进行快速分解法潮流计算,并在每步迭代中引入线性优化,抑制区间增长.通过算例比较表明,该方法在保证完备性的同时,能有效地减少区间结果保守性.%The traditional power flow calculation is based on a single operating point calculation cannot deal with the uncertainty by the change of the time-varying power systems'parameters and load demand,is unable to provide meaningful reference for time-varying power system security analysis either,so the interval algorithm was applied in the power system flow calculation.In view of the conservative problem of the existing power flow interval algorithm,considering the correlation between interval variables,use interal affine arithmetic for fast decomposition method and linear optimization at the each iteration to inhibit the growth of interval.Through a comparison of examples shows that the proposed algorithm ensuring correctness,at the same time,effectively reducing the conservatism of interval results.