Theses and Dissertations


Vikas Singhvi

Issuing Body

Mississippi State University


Halpin, S. Mark

Committee Member

Molen, G. Marshall

Committee Member

Grzybowski, Stan

Date of Degree


Document Type

Graduate Thesis - Open Access


Electrical Engineering

Degree Name

Master of Science


College of Engineering


Department of Electrical and Computer Engineering


Rotor angle stability is the ability of the interconnected synchronous machines of a power system to remain in synchronism. This stability problem is concerned with the behavior of one or more synchronous machine after they have been perturbed. These perturbations can be small or large depending upon the type of disturbances considered. The work presented in this thesis is focused on the power system behavior when subjected to small disturbances. The ?small signal? disturbances are considered sufficiently small for the linearization of system equations to be permissible for the purpose of the analysis. The first step in the small signal stability studies is to obtain initial steady state conditions using load flow solutions. After establishing initial conditions, an unregulated mathematical model of the power system is formed. The mathematical model obtained is a set of nonlinear coupled first order differential equations. The method of small changes, called the perturbation method, is used to linearize these nonlinear differential equations. The equations are then written in a linear state space model form. The eigenvalues and the participation factors are obtained from the state matrix and the contribution of a particular machine in a particular mode or oscillations (or eigenvalue) can be examined for the small signal stability studies.



Eigenvalues||Particiaption Factor||Modes