Eigen Value Techniques for Small Signal Stability Analysis in Power System Stability

Many advanced techniques are being developed for Power Systems Stability Assessment. We can use Eigen value techniques for the purpose of increasing the calculation performance of eigen-algorithms for Power System Small Signal Stability Analysis. Firstly, we introduce a bulge chasing algorithm called the BR algorithm which is a novel and efficient method to find all Eigen values of upper Hessenberg matrices and has never been applied to eigen-analysis for power system small signal stability analysis. This paper analyzes differences between the BR and the QR algorithms with performance comparison in terms of CPU time based on stopping criteria and storage requirement on the basis of Eigen –value calculation. Secondly, we propose a method of small-signal stability analysis of power systems with microgrids which is based on the development of an integrated model in quadratic form and subsequent development of the transition matrix of the overall system. The Eigen values of the transition matrix provide the small-signal stability properties of the system.