Numerical Simulation for Stochastic Transient Stability Assessment

There has been continuous development of techniques for assessing the transient stability of power systems in the uncertain environment. In this paper, a novel framework for stochastic transient stability assessment is proposed. The basic theory of stochastic calculus is first introduced to form the mathematical basis of the proposed approach. A stochastic power system model based on stochastic differential equations (SDEs) is proposed to take into account the uncertain factors such as load levels and system faults. We then present a detailed discussion on the numerical methods for solving SDEs. The stochastic Euler and Milstein schemes are introduced. The concept of strong convergence is also introduced to evaluate their accuracy. The proposed approach is tested with comprehensive case studies to validate its effectiveness.