Mathematical Modelling of Linear Induction Motor Considering End Effects in DQ Frame

Abstract

In this paper, a mathematical model based on d-q axes equivalent circuit to describe the dynamic behaviour of Linear Induction Motor (LIM) considering the end effects. Because time-varying characteristics like the end effect, core saturation, and half-filled slots make dynamic modelling challenging, we can simplify the problem by employing two axes modelling which reduces the number of variables. The model is simulated using Synchronously rotating reference frame. The model is simulated using MATLAB/ SIMULINK tools as it is the prominent way for implementing the dynamic equations using the function blocks.

Introduction

Conclusion

In this paper, the transient and steady state behaviour of the LIM with and without considering end effects using synchronously rotating reference frame are compared. From the results obtained it is concluded that: 1) In Linear Induction motor, there is attenuation in original thrust (force) due to the end effects. 2) Steady state is delayed to the end effects which are caused because of large air gap. 3) At steady state, the d-q axes primary and the rotor variables become DC quantities using a synchronously rotating reference frame. This reference frame is advantageous for studying multi-machine system. 4) The thrust force behaviour without involvement of the end effects does not have oscillations.

References

[1] Morden power electronics and AC drives by ‘Bimal K Bose’. [2] Linear induction motor equivalent circuit model J.Duncan.; Trans-portation Technology, IEE Proceedings, Volume: 130 , Issue: 1, Jan. 1983. [3] An improved equivalent circuit model of a single sided linear in-duction motor Jian Guo Zhu.;Youguang Guo.; vehicular technolo-gy , IEEE Transactions on , volume: 59 , Issue: 5 , June. 2010. [4] Mathematical Modelling of Linear Induction Motor, International Journal of Engineering &Technology, 7 (4.24) (2018) 111-114, M.Naga Raju , M.Sandhya Rani. [5] RJ. Lee., P. Pillay., R.G. Harley., \"D-Q Reference Frames for the Simulation of Induction Motors\", Electric Power Systems Research, 8( 1984/85) 15-26.

Copyright

Copyright © 2023 Dr. U. K. Choudhury, Sneha Sundari, Sai Likhith, Swapnil Vaitla. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.