区间不确定信息下电力系统安全性的快速评估算法

A Fast Assessment Algorithm of Power System Security Considering Interval Uncertain Information

计及高压输电网络中的不确定因素,提出了区间负荷下快速评估电力系统安全性的新算法。该算法对传统分支定界算法进行了改进,证明了电力系统最小切负荷问题的负荷边界特性,将双层规划模型的求解转化为少量线性规划模型的求解。改进后的分支定界算法能够快速、准确地求解基于双层线性规划的区间至多切负荷模型,得到区间负荷下计及发电机的可调作用时,基于直流潮流模型的系统最小切负荷量的最大值。新算法的计算速度大大优于求解同类问题时所用的蒙特卡罗模拟法和分支定界法,精度较高。6节点和46节点系统算例的计算结果验证了算法的正确性和有效性。

A fast assessment algorithm of power system security is proposed to handle the interval uncertainty of loads existing in high-voltage transmission network. Firstly, the proposed algorithm makes an enhancement to conventional branch and bound method, proves the load boundary characteristics of minimum load cutting problem in power systems, which means load of each bus is fixed at its maximum value or minimum value in the most dangerous load conditions. Based on these characteristics, a bilevel linear programming model is obtained and solved by solving a few linear programming models. This novel model is expressed as a DC power flow model, and the enhanced branch and bound algorithm can solve this model quickly and precisely to get the maximum value of the minimum load cutting amount of different schemes, with generators＇ regulatory abilities considered. Comparing with Monte-Carlo method and the conventional branch-and-bound method, the enhanced algorithm shows great advantages in speed and precision. The testing results on 6-bus and 46-bus power systems validate the efficiency of the proposed algorithm.