Dynamic Simulation of a Three-Phase Induction Motor Using Matlab Simulink



The theory of reference frames has been effectively used as an efficient approach to analyze the performance of the induction electrical machines. This paper presents a step by step Simulink implementation of an induction machine using dq0 axis transformations of the stator and rotor variables in the arbitrary reference frame. For this purpose, the relevant equations are stated at the beginning, and then a generalized model of a three-phase induction motor is developed and implemented in an easy to follow way. The obtained simulated results provide clear evidence that the reference frame theory is indeed an attractive algorithm to demonstrate the steady-state behavior of the induction machines.





Figure 1 the 3-phase induction motor Matlab/Simulink model


 Figure 2 Torque speed characteristics for the 3 hp induction motor

Figure 3 Machine variables during free acceleration of a 3-hp induction motor

Figure 4 Torque speed characteristics for the 2250 hp induction motor

Figure 5 Machine variables during free acceleration of a 2250-hp induction motor


In this paper, an implementation and dynamic modeling of a three-phase induction motor using Matlab/Simulink are presented in a step-by-step manner. The model was tested by two different ratings of a small and large induction motors. The two simulated machines have given a satisfactory response in terms of the torque and speed characteristics. Also, the model was evaluated by Matlab m-file coding program. Both methods have given the same results for the same specifications of the three phase induction motors used in this simulation. This concludes that the Matlab/Simulink is a reliable and sophisticated way to analyze and predict the behaviour of induction motors using the theory of reference frames.


[1] P. C. Krause, O. Wasynczuk, S. D. Sudhoff “Analysis of Electric Machinery and Drive Systems”, IEEE Press, A John Wiley & Sons, Inc. Publication Second Edition, 2002.

[2] P.C. Krause and C. H. Thomas, “Simulation of Symmetrical Induction Machinery”, IEEE Transaction on Power Apparatus and Systems, Vol. 84, November 1965, pp. 1038-1053.

[3] P. C. Krause, “Analysis of Electric Machinery”, McGraw-Hill Book Company, 1986.

[4] D. C. White and H. H. Woodson, “Electromechanical Energy Conversion”, John Wiley and Sons, New York, 1959.

[5] M. L. de Aguiar, M. M. Cad, “The concept of complex transfer functions applied to the modeling of induction motors”, Power Engineering Society Winter Meeting, 2000, pp. 387–391.

[6] S. Wade, M. W. Dunnigan, B. W. Williams, “Modeling and simulation of induction machine

vector control with rotor resistance identification”, IEEE Transactions on Power Electronics, vol.

12, No. 3, May 1997, pp. 495–506.

Leave a Reply

Your email address will not be published. Required fields are marked *