Study on power system small‐disturbance uncertainty stability considering wind power

Abstract

In 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.

Analysis of voltage stability uncertainty using stochastic response surface method related to wind farm correlation

“…Solving η p (φ i1 , φ i2 ,…, φ ip ), and substituting into the (14) can obtain the expression of the output model y.…”

“…If the real parts of all the eigenvalues of the Jacobian matrix J is negative, the system (13) is stable; otherwise, the system can become unstable. Thus, a new simple and effective lemma [14] is given as follows:…”

“…The relationships between active power P e that is supplied by the wind generation source and wind speed v are expressed as [14,20]:…”