Robust Nonlinear Synchronous Generator Excitation System: Integral Adaptation

Abstract

The application of a new system - cybernetic approach to the power system synchronous generator control with r egard to their nonlinearity, multidimensionality, and multicoupling, is shown. The main study subject is a nonlinear model of the synchronous generator operating for a high power network. A synergistic synthesis procedure o f the nonlinear adaptive control law for power system synchronous generator excitation in accordance with the principle of the integrated adaptation of syn ergetic control theory is presented. The synthesized control law provides the implementation of technological invariants, i.e. stabilization of terminal voltage, and a synchronou s operation with the network, suppression of parametric perturbation (parametr ic robustness). The obtained results have shown their efficiency in improving power system stability problem. A comparative analysis of the stabilit y area with the synergistic law, and with the conventional synchronous generator excitation controller has i llustrated the significant advantage of the synergetic approach.

Mathematical model of the pneumatic actuator follower system

“…the difference between the output quantity and the reference value, the second part ( ) -is integral in time of the error of the output quantity, and the third part ( ) -is derivative of the error. The equation of the classical PID controller is [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19]:…”