Abstract

In This paper, a modular approach for investigation of the dynamic behavior of three phase induction motor is developed and described in details. This model has been built up, systematically, by means of basic function blocks found with MATLAB/SIMULINK. This model is described in similar but modular approach as in electrical machines theory. The motor model includes multi-level blocks solving equations for each motor part or component. This approach enables the researcher to calculate or investigate any motor variables; voltage, current, flux, speed and torque. This model could also be used for a wide range of horse power needed in scientific research and numerical applications. A q-d axis based model is proposed to analyze the transient performance of three-phase squirrel cage induction motor using stationary reference frame. Constructional details of various sub-models for the induction motor are given and their implementation in SIMULINK is outlined. Direct-online starting under different load conditions of a 3 hp induction motor (as case study) is also studied. The motor stator voltage, the stator and rotor currents, the developed torque and rotor speed are, numerically, calculated and plotted for different operating conditions.

Highlights

  • The induction machine is the most used machine in a wide variety of industrial applications as a mean of converting electric power to mechanical work due to its robustness, reliability, low cost, high efficiency and good self-starting capability [1,2,3]

  • Induction machine is considered as nonlinear dynamic system suffering from different levels of complicities and difficulties when operating under different input parameters and load variation

  • A stationary reference frame has been used, which has the advantage of eliminating some terms from the voltage equations

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Summary

Introduction

The induction machine is the most used machine in a wide variety of industrial applications as a mean of converting electric power to mechanical work due to its robustness, reliability, low cost, high efficiency and good self-starting capability [1,2,3]. Its low sensitivity to disturbances during operation makes the squirrel cage motor the first choice when selecting a motor for a particular application. Voltages; va, vb and vc are the phase voltages for the a, b, and c phases; Ψqs and Ψds are the q- and d-axis stator flux linkages; Ψqr and Ψdr are the q- and d-axis rotor flux linkages; Ψqm and Ψdm are the q- and d-axis magnetizing flux linkages; is and ir are the stator and rotor currents; iqs and ids are the q- and d-axis stator currents; iqr and idr are the q- and d-axis rotor currents; Rs and Rr are the stator and rotor winding resistances; Ls, Lr and Lm are the stator, rotor, and mutual inductances, respectively; xls and xlr are the stator and rotor leakage reactances; xm is the magnetizing reactance; ωb is the base speed at nominal ratings; ωr is the rotor speed; f is the rated nominal frequency; p is the number of poles pairs; Sb is the rated base power in kilowatts; H is the inertia constant; J is the moment of inertia; Tem is the torque developed by motor; Tload is the load torque on motor shaft

Induction Motor Mathematical Model
Simulink Implementation
Investigation of Dynamic Behavior
General Conclusions
Prospective
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