D-Q Mathematical Modelling and Simulation of Three-Phase Induction Motor for Electrical Fault Analysis

Abstract: Building a machine that emulates the electrical fault can be expensive and implies high risk of damage. Different types of fault cannot be created in the same machine. This paper presents a mathematical model and dynamic simulation of 3-Φ squirrel cage induction motor to study the performance of the AC machine. The equations will be derived and developed that will represent the 3-Φ Induction motor. Those equations can be used to study the fault analysis of the winding as well as their performance. Mathematical equations are developed in arbitrary reference frame and simulation is done under no load condition to obtain the results. As, Direct Quadrate (d-q) model is superior to abc reference in terms of complexity and computational time, for modelling the drive system, d-q transformation method is used. Then the simulation of the system will be done and analysis of dynamic behaviour of the motor will be studied. Then the torque and speed will be calculated. The study of the transient and steady state analysis of an induction motor model will be performed through the simulation.

Keywords: Induction Motor, Reference Frame, Flux Linkage.