Abstract
AbstractIn order to study in depth the influence of the uncertainty factors on power system stability and to obtain the probability of instability under different levels, an evaluation method of power system stability based on monomial cubature rules (MCRs) is proposed. In this paper, the wind speed and the matrix spectral radius are considered as the uncertainty parameter and the output response, respectively. The relationship between the wind speed and the matrix spectral radius is found with MCRs to assess power system dynamic stability, and linear regression is used to solve chaotic polynomial coefficients. The comparison of the calculation results of the MCRs and Monte Carlo simulations on the IEEE 30‐bus system indicates that the MCRs require a smaller number of computations and give high accuracy. © 2014 Institute of Electrical Engineers of Japan. Published by John Wiley & Sons, Inc.
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