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An alternative approach for the determination of electromechanical parameters of a tubular linear induction motor and its experimental validation

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Abstract

This paper presents an alternative approach for offline parameter estimation of a 3-phase, 500 W, 2.5 m/s, 4-pole tubular linear induction motor (TLIM) prototype. The TLIM prototype discussed here has been completely designed, developed, analysed and tested in the laboratory. Linear induction motors (LIMs) inherently have large air-gaps, resulting in a large leakage inductance. Also, presence of end-effects and edge-effects, affect the parameters of the machine. Thus, exact parameter estimation is a challenge in itself. Moreover, finite secondary length (unlike, rotary machines) mechanically limits the experimental steady state observation duration. Thus, parameter estimation of linear motors using conventional methods, originally developed for rotary induction machines, are inconvenient and often not feasible to be applied here. Hence, a novel approach is proposed here involving a combination of experimental results, its analysis and also FEM co-simulation of the motor. The proposed approach is compared with the analytical hand-calculations, conventional method based experiments (like No-Load and Blocked Rotor tests) and earlier proposed methods. There is a significant improvement of accuracy using the proposed method compared to that of the earlier methods. Mechanical parameters are also determined. These can be claimed as significant contributions of the present work.

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Abbreviations

vr :

Rated linear speed

m1 :

Number of primary phases

VL :

Operating line voltage

f:

Operating frequency

p:

Number of pole-pairs

lg, gt :

Air-gap clearance, equivalent length of flux path having \(\mu _r=1\) (Sum of air-gap length and thickness of Al-sheet)

Li, L\(_{\tau }\) :

Transverse, longitudinal length of LIM

\(\tau \), wc :

Pole and coil pitch

qs :

Slots per pole per phase (SPP)

kw1 :

Fundamental winding factor

\(\omega _1\), \(\omega _2\) :

HF and LF of the voltage supply (rad/sec)

N1 :

Number of turns per phase

i\(_{\alpha }\), i\(_{\beta }\) :

Clarke’s transformed currents-iA, iB & iC

L\(_{mtph}\) :

Length of mean turn per phase

\(\rho _{Cu}\) :

Resistivity of copper at 75°C

Rs :

Primary resistance per phase

\(\lambda _{1s}\), \(\lambda _{1d}\) :

Specific permeance of slot and differential leakage flux

X1s, X1e, X\(_{1d}\) :

Slot, end-connection & diff. leakage reactance

Lls, Llr :

Self leakage inductance of primary & secondary

Lm :

Mutual inductance between primary & secondary

X1, Xm :

Primary leakage and air-gap mutual reactance

\(\tau _{d1}\) :

Differential leakage factor

kc :

Carter’s co-efficient

\(\kappa _{1X}\) :

Skin-effect co-efficient for leakage reactance

Ph, Pe :

Core loss due to hysteresis & eddy current

\(\beta \) :

Ratio of Lm and Lr

M:

Mass of the moving part

D:

frictional co-efficient

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Acknowledgements

The authors wish to thank the CoE (MDAMD), IIEST, Shibpur, and TEQIP-II for the funds support. The authors acknowledge the support of Mr. Koushik Pyne and his staff members at G.E. Motors, Sheoraphully, W.B., India for their technical involvement in fabricating such an unusual motor and that too a single piece. The support received from the research colleagues at the Advanced Power Electronics Lab, Department of E.E. and particularly Mr N. Dutta, Project Technical Assistant, APE Lab, and the authorities of IIEST, Shibpur, towards this work is also gratefully acknowledged.

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  1. Advanced Power Electronics Laboratory, Department of Electrical Engineering, IIEST, Shibpur, Howrah, 711103, India

    Monojit Seal & Mainak Sengupta

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  1. Monojit Seal
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  2. Mainak Sengupta
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Correspondence to Monojit Seal.

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Seal, M., Sengupta, M. An alternative approach for the determination of electromechanical parameters of a tubular linear induction motor and its experimental validation. Sādhanā 48, 175 (2023). https://doi.org/10.1007/s12046-023-02168-2

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