Along with increasing the wind power generation share in total generation capacity in power systems, maximum use of wind power generation capacity has been a major challenge for system operators. This is due to wind power generation is inherently uncontrollable and stochastic, and can notably affect the power systems operation. Therefore, the effect of wind power generations and especially their correlation on the power systems operation should be accurately studied and analyzed. Economic Dispatch (ED) is a proper tool to study the effect of wind power generations on the power systems operation.

In this paper, initially, wind speed is modeled and forecasted for a specific time. Then, correlation among wind farm generations is modeled and simulated using Copula method. Finally, the effect of wind power generations and correlation among them on ED quantities is investigated. The simulation results show that wind power generations and correlation among them can notably affect the ED quantities such as operational cost, power units’ generations and reserves, and wind generation curtailment. For instance, the absorbed wind power generation reduces and its curtailment increases. The simulations are implemented on the IEEE 30 buses test system with different load levels and different numbers, capacities and correlation intensities of wind farms installed in it. To solve the optimization problem of ED, the GA-RDPSO is proposed and used. The capability of this algorithm in finding the optimal solution for the ED problem is compared with the well-known optimizing algorithms of GA, PSO, RDPSO.