Applying Probabilistic Collocation Method to Power Flow Analysis in Networks with Wind Farms

In power systems with a high wind power penetration, probabilistic load flow analysis is a fundamental problem for system planning and operation due to the uncertainty and fast fluctuation of wind speed. This paper proposes probabilistic collocation method (PCM) for load flow analysis with a penetration of wind farms. The orthogonal polynomials are utilized to generate the approximation of the random variable of interest as the function of uncertainty parameters. The proposed method is a computational efficient solution to provide quite an accurate approximation for the given probability distribution of system response. Therefore the method can significantly reduce the computational time compared to the traditional brute force Monte Carlo approach. Illustration examples are given on the IEEE 39 bus system to show the effectiveness of the proposed method.