Optimization methods for constrained stochastic wind power economic dispatch

An economic load dispatch model developed for both wind turbines and thermal generators is presented in this paper. In the model, the wind power is considered as a constraint due to random nature of wind speed. This optimization problem is solved to obtain optimal power outputs of thermal generators, while taking into account of given constraints. All these optimal outputs and available wind power must satisfy the load generation balance of the power system. The closed form solution of this model is not possible due to the inequality constraints and this problem is solved by introducing a penalty function or barrier function in the model to take account of inequality constraints. The feasible ranges of optimum solutions are obtained by using the developed models based on penalty function and interior point methods.