Power system stochastic transient stability assessment based on Monte Carlo simulation

Power System Transient Stability Analysis Based on the Development and Evaluation Methods

A novel method to compute the stability region in power system transient stability analysis is presented. This method is based on the set analysis. The key to this method is to construct the Hamilton-Jacobi-Isaacs (HJI) partial differential equation (PDE) of a nonlinear system, using which we can compute the backward reachable set by applying the level set methods. The backward reachable set of...

Loss of Load Expectation Assessment in Deregulated Power Systems Using Monte Carlo Simulation and Intelligent Systems

Deregulation policy has caused some changes in the concepts of power systems reliability assessment and enhancement. In this paper, generation reliability is considered, and a method for its assessment using intelligent systems is proposed. Also, because of power market and generators’ forced outages stochastic behavior, Monte Carlo Simulation is used for reliability evaluation. Generation r...

Stochastic Simulation,monte Carlo Methods and Applications1

Effective transient stability assessment based on composite indices

This paper presents a new composite index to analyze power system transient stability. Contingency ranking in power system transient stability is a complicated and time consuming task. To prevail over this difficulty, various indices are used. These indices are based on the concept of coherency, transient energy conversion between kinetic and potential energy and three dot products of the s...

Stochastic Programming by Monte Carlo Simulation Methods

We consider in this paper stochastic programming problems which can be formulated as an optimization problem of an expected value function subject to deterministic constraints. We discuss a Monte Carlo simulation approach based on sample average approximations to a numerical solution of such problems. In particular, we give a survey of a statistical inference of the sample average estimators of...