基于区间算术的含分布式电源电网无功优化方法

为了解决分布式电源出力不确定性以及负荷波动性所带来的影响，提出一种基于区间数的含分布式电源电网无功优化方法。介绍区间数和区间算术的概念并建立区间潮流模型；建立含分布式电源电网区间无功优化模型的目标函数和约束条件，并给出采用粒子群算法求解区间无功优化模型的步骤；最后通过Matlab对一个修改后的IEEE14节点系统进行区间无功优化仿真计算，并采用粒子群算法对单一潮流断面进行无功优化验证了所提算法的正确性。仿真结果表明，基于区间算术的无功优化方法能够在计及电网不确定性因素情况下，使得电网趋优运行。

Reactive power optimization based on interval arithmetic with distributed power grid

In order to solve the uncertainty of the output of distributed power and the effects of load fluctuation, this paper presents a reactive power optimization method based on interval for the grid with distributed power. First, the concepts of interval number and interval arithmetic are introduced and the interval power flow is established. Then, objective function and constraint conditions of interval reactive power optimization model with distributed power are established, and the steps of solving the model with PSO are given. Finally, a modified IEEE 14 node system is simulated through Matlab and a certain power flow for reactive power optimization proves the correctness of the proposed algorithm. Simulation results shows that it can make the grid work in near-optimal state with taking into account the uncertainty of the grid.