Stability analysis of power system incorporating uncertainties

Abstract

First deterministic analysis for small signal stability analysis of power system has been done by finding eigenvalues of linearized differential equations of system. The stability and its dependence on various state variables of power system has been calculated using participation factor calculation of each state variable to each eigenvalue. For each eigenvalue the participation factor of each mode has been found out such that dominating modes for each eigenvalue can be obtained. Then damping ratio and frequency of each eigenvalue are calculated and based on these damping ratios critical eigenvalues are calculated. Also the trajectories of these critical eigenvalues are traced such that system stability can be observed with increase in loading conditions. In this method the disturbances developed in the system is assumed small enough such that the system’s nonlinear partial differential equations can be linearized. After that uncertainties in the system are incorporated to take care these uncertainties probabilistic studies have been carried out using Monte-Carlo simulation method and point estimation methods and a relative comparison of these two methods are stated. These probabilistic studies provides an eye inside the probabilistic nature of small signal stability of power system such that with highly uncertain nature of the power system due to various types of load and penetration of renewable generations.