Analytical solution of dynamic economic dispatch considering wind generation

The variability of wind generation introduces uncertainty in the optimal scheduling of the system. Consequently, it is difficult for the system operator to determine the optimal amount of conventional generation that should be committed and its corresponding power production in order to reduce generation costs. Incorporation of forecasting error on the optimal unit scheduling has been extensively suggested in the literature. However, it strongly depends on the probability distribution adopted to represent wind power forecasting error. Cauchy distribution has demonstrated to be an adequate tool to represent forecasting error. In this paper, an analytical model to solve dynamic economic dispatch is presented. The proposed model is based on discretization of Cauchy distribution, so that its incorporation in the optimization problem is successfully done. This is illustrated by analyzing a representative case study and the results are compared to a Monte Carlo Simulation approach in order to show the accuracy of the proposed method.