Analysis and Mathematical Modelling of Matrix Converter for Adjustable Speed AC Drives

This paper presents the work carried out in developing a mathematical model for a matrix converter. The power circuit of the matrix converter is realized by using mathematical expressions. The mathematical expressions relating the input and output of the three-phase matrix converter are implemented by using Simulink block set. A unique feature of the mathematical model is that it requires very less computation time and less memory compared to the power circuit realized by using actual switches. The duty cycles of the switches are calculated using modified Venturini algorithm for 0.5 and 0.866 voltage transfer ratios. Simulations of the matrix converter loaded by passive RL load and active induction motor are performed. This is followed by speed control of induction motor in open loop