中文摘要：

针对风力发电、太阳能发电等分布式电源出力的不确定性,引入模糊数学理论将不确定性的发电出力用模糊数表示,将梯形模糊数与最优潮流结合建立城市电网模糊最优潮流模型。依据模糊数的比较规则,通过加权位移法将模糊目标函数和模糊约束转化为确定性目标函数与约束,并采用原对偶内点法进行求解。对一24节点城市电网进行仿真分析,结果表明在某些出力不确定情况下所得优化结果是平均最优值。

英文摘要：

Because of the power output indeterminacy of distributed generations,such as wind power,solar power and so on,a fuzzy OPF（Optimal Power Flow） model combining the trapezoidal fuzzy number with the OPF is established,which,based on the fuzzy mathematics theory,expresses the nondeterministic power output as a fuzzy number.According to the comparison rules of fuzzy number,the weighted shifting method is applied to convert the fuzzy objective function and constraints to deterministic ones.The primal-dual interior point method is used to solve the model.Simulative result of a 24-bus urban power grid indicates the average optimal value is obtained when some power outputs are nondeterministic.