In this paper, analytical expressions to obtain directly the extinction angle for the two modes of operation, mode (2/3) and mode (0/2), for a thyristor-controlled induction motor are presented. The extinction angle values obtained analytically are used to obtain performance characteristics of the thyristor-controlled induction motor, and the results were compared with those obtained when numerical methods are used to obtain the extinction angle, and the two sets of results were found to be in very close agreement.