Fuzzy optimal power flow analysis considering indeterminacy of distributed generation for urban power grid

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.