Probabilistic Dynamic Economic Dispatch in Presence of Wind Farms

Dynamic economic dispatch is the main tool for optimal power system operation. On the other hand, a probabilistic economic dispatch is also an important tool because of the increasing of uncertain and non-dispatchable renewable generation mainly wind and solar. This paper presents a closed-form mathematical probabilistic model for dynamic economic dispatch in the presence of wind power. The main idea about the probabilistic model is presented in the earlier work by the authors. Based on the earlier work, the wind power curve is linearized by a precise method and the Weibull distribution function is used to model the probabilistic wind speed specification. In the current paper, two improvements are done as extending the static economic dispatch to dynamic and also extending the optimization algorithm to include all types of Weibull distribution function.