An all-digital simulation of an induction machine and its associated control system is described. The simulation is suitable for analyzing operation either from a constant frequency, constant voltage supply, or analyzing a complete control loop with a variable frequency power source. The computer program which is described calculates both the transient and steady-state performance of the machine from its equivalent circuit constants. The principal element in the program is a differential equation solving algorithm using a predictor-corrector method. This predictor-corrector technique is relatively easy to program and is suitable for use with a medium size digital computer. A discussion of the various steps in the program as well as an example of an application of the program are given.