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.
