A Here-and-Now Stochastic Economic Dispatch with Non-smooth Fuel Cost Function and Emission Constraint

In this paper, an Economic Dispatch (ED) model is developed for the system consisting of both thermal generators and wind turbines. The inclusion of a significant amount of wind energy into power systems has resulted in additional constraints on ED to accommodate the intermittent nature of the output. The probability of stochastic wind power based on the Weibull probability density function is included in the model as a constraint; the here-and-now strategy. The losses in terms of Bcoefficients and more general cost functions are added to our model to obtain more realistic, practical, and accurate economic dispatch model. Also, the Environmental Protection Agency’s hourly emission target, which gives the maximum emission during the day, is used as a constraint, to reduce the atmospheric pollution. A 69-bus ten-unit test system with non-smooth cost function is used to illustrate the effectiveness of the proposed model compared with conventional economic dispatch model.