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Probabilistic Technique for Sizing FACTS Devices in Presence of Wind Farm Using NRGA Algorithm

In this paper, simultaneous optimum allocation and sizing regarding three types of FACTS devices in presence of a wind power plant is considered using the NRGA algorithm. In order to make the simulation more realistic and increase the applicability of this article in the implementation for real situations different uncertainties related to the power system is considered. Uncertainties such as loads in power system, power plant power generation, transmission power lines outages, while the uncertainty index in this article is considered as N-2. Monte Carlo method, one of the probabilistic approaches in power system, is used to simulate uncertainties. By integrating the Monte Carlo and the K-means methods, convergence speed of the proposed method increased significantly. As the NRGAO algorithm is a multi-dimensional optimization algorithm for allocation and sizing TCSC, UPFC and SVC the two objective function in this paper are voltage profile improvement along with power line losses reduction. After determining and determining the optimal capacity of the Facts, the effects of their presence on the losses and network voltage profiles will be evaluated. A 24 IEEE RTS system is simulated in order to evaluate the proposed method.