Root clustering method for a small-signal stability analysis of power systems

We present a new method of a small-signal stability analysis for power systems with parametric uncertainties in load characteristics. These uncertainties must always be considered in a power system stability assessment since a power demand changes constantly and a precise composition of the electrical loads is usually unknown. The proposed method is based on an iterative algorithm which determines root clustering of a polytope of polynomials in a simply connected domain. It is suitable for an assessment of the electromechanical oscillations and dynamical voltage stability of power systems. According to our method stability verification at each iteration step is analytical and requires significantly shorter computation time than other methods available in literature. Key-Words: Electro-mechanical oscillations, Parametric uncertainty, Power system analysis, Root clustering, Voltage stability.