STABILITY ANALYSIS OF A CLOSED MOTOR-GEAR-ALTERNATOR (MGA) SYSTEM USING NYQUIST TECHNIQUE
WESLEY KOECH *
Department of Mathematics and Physics, School of Biological and Physical Sciences, Moi University, P.O.Box 3900-30100, Eldoret, Kenya.
*Author to whom correspondence should be addressed.
The stability of circuit systems which include power efficiency, linearity and stability over a broad range of power input and impedance is of fundamental importance in design of control circuits. Motor-Gear-Alternator circuit (MGA) is a typical system which attracts a lot of attention due to its potential industrial applications. However, the stability of the MGA system has not been determined yet. Various loops designed and stability analytical techniques developed for determining the stability of MGA are described herein. Closed loops of MGA circuit were considered and evaluated using the already established Nyquist and bifurcation criteria. From Nyquist criterion, the number of poles of GH(s) characterized by positive real parts was zero, and the total number of the counterclockwise encirclements of -1 was zero. Using Cauchy’s and Nyquist stability functions, the close-loop of MGA system is stable.
Keywords: Nyquist, motor, alternator and stability