Simulation of Synchronous Machine in Stability Study for Power System

This paper presents a linear mathematical model of the synchronous generator with excitation system for power system stability. For large systems the state space model has been used more frequently in connection with system described by linear differential equations. The flux linkage of each circuit in the machine depends upon the exciter output voltage. The excitation system models described use a pu system. The complete system is mainly included synchronous machine, exciter and transmission line. The system is whether stable or unstable is determined by eigen-values of the system coefficient matrix A. These eigen-values are identified with the parameters of the machine and are not depend on the exciter parameters. Complete state equations are obtained first order differential equation from the system model by identifying appropriate state variables. The conversion of state space equation to transfer function is applied in the MATLAB/SIMULINK program. The first-order approximations are made for the system equations. The current and flux linkage are used to as state variables the overall system. Stability characteristics of the system are determined by examining the eigen-values. It can be prove that root locus plot. The current state-space model is specifically concerned with the 35 MVA, 11 kV synchronous generator modeling aspects of the boost-buck excitation system. MATLAB/SIMULINK software is used to compute the state-space model of the system.