# Use of 3–dimensional finite elements for computation of temperature distribution in the Stator of an Induction Motor during Direct-On-Line Starting

### Abstract

Transient thermal analysis of induction machines is a subject of interest for machine designers in their effort to improvemachine reliability. Since the stator is static, it is prone to overheating. Therefore, the study of transient thermal behaviorin the stator is useful to identify causes of failure in induction machines. This paper presents a three-dimensional transientheat flow through the stator of an induction motor using arch shaped elements in the r--z plane of the cylindrical co-ordinatesystem. A temperature-time method is employed to evaluate the distribution of loss in various parts of the machine. Usingthese loss distributions as an input for finite-element analysis, more accurate temperature distributions can be obtained.The model is applied to one squirrel cage Totally Enclosed Fan Cooled (TEFC) machine of 7.5 kW. Finally, the temperaturesobtained by this three-dimensional approximation at different locations of the stator were compared for different stator currentsconsidering the time required for each stator current during the transient in Direct-On-Line starting.### References

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on Magnetics 45 (8) (2009) 3114–3120.

[10] S. Ruoho, E. Dlala, A. Arkkio, Comparison of demagnetization models

for finite-element analysis of permanent-magnet synchronous machines,

IEEE Transactions on Magnetics 43 (11) (2007) 3964–3968.

[11] H. X. Xia, L. Li, J. J. Du, L. Liu, Analysis and calculation of the 3d rotor

temperature field of a generator-motor, in: Electrical Machines and

Systems (ICEMS), 2011 International Conference on, IEEE, 2011, pp.

1–4.

[12] M. Islam, A. Arkkio, Time-stepping finite-element analysis of eddy currents

in the form-wound stator winding of a cage induction motor supplied

from a sinusoidal voltage source, IET Electric Power Applications

2 (4) (2008) 256–265.

[13] R. Lin, A. Arkkio, 3-d finite element analysis of magnetic forces on

stator end-windings of an induction machine, IEEE Transactions on

Magnetics 44 (11) (2008) 4045–4048.

[14] M. J. Islam, J. Pippuri, J. Perho, A. Arkkio, Time-harmonic finiteelement

analysis of eddy currents in the form-wound stator winding

of a cage induction motor, IET Electric Power Applications 1 (5) (2007)

839–846.

[15] D. AK Sarkar, Naskar, Approximate analysis of transient heat conduction

in an induction motor during reactor starting, in: Power Electronics

India International Conference, IEEE, 2010, pp. 1–8.

[16] D. Sarkar, N. Bhattacharya, Approximate analysis of transient heat

conduction in an induction motor during star-delta starting, in: Industrial

Technology, 2006. ICIT 2006. IEEE International Conference on,

IEEE, 2006, pp. 1601–1606.

[17] G. B. Kumbhar, S. M. Mahajan, Analysis of short circuit and inrush

transients in a current transformer using a field-circuit coupled fe formulation,

International Journal of Electrical Power & Energy Systems

33 (8) (2011) 1361–1367.

[18] C. Mejuto, M. Mueller, M. Shanel, A. Mebarki, D. Staton, Thermal modelling

investigation of heat paths due to iron losses in synchronous

machines, IEEE PEMD.

[19] B. R. Samaga, K. Vittal, Comprehensive study of mixed eccentricity

fault diagnosis in induction motors using signature analysis, International

Journal of Electrical Power & Energy Systems 35 (1) (2012)

180–185.

[20] R. Mujal-Rosas, Analysis of the three-phase induction motor with spiral

sheet rotor, International Journal of Electrical Power & Energy Systems

35 (1) (2012) 1–9.

[21] E. Dlala, Comparison of models for estimating magnetic core losses

in electrical machines using the finite-element method, IEEE Transactions

on Magnetics 45 (2) (2009) 716–725.

[22] M. Rajagopal, D. Kulkarni, K. Seetharamu, P. Ashwathnarayana, Axisymmetric

steady state thermal analysis of totally enclosed fan cooled

induction motors using fem, in: 2nd Nat. Conf. on CAD/CAM, 1994, pp.

19–20.

[23] M. Rajagopal, K. Seetharamu, P. Ashwathnarayana, Transient thermal analysis of induction motors, in: IEEE Trans on Energy conversion,

Vol. 13, IEEE, 1998, pp. 932–939.

[24] N. Zhao, Z. Zhu, W. Liu, Thermal analysis and comparison of permanent

magnet motor and generator, in: Electrical Machines and Systems

(ICEMS), 2011 International Conference on, IEEE, 2011, pp. 1–

5.

[25] J. Pippuri, A. Belahcen, E. Dlala, A. Arkkio, Inclusion of eddy currents

in laminations in two-dimensional finite element analysis, IEEE Transactions

on Magnetics 46 (8) (2010) 2915–2918.

squirrel-cage rotors for induction motors, Transactions of the American Institute of Electrical Engineers. Part III: Power Apparatus

and Systems 74 (3) (1955) 819–824.

[2] S. K. Chowdhury, P. K. Baski, A simple lumped parameter thermal

model for electrical machine of tefc design, in: Power Electronics,

Drives and Energy Systems (PEDES) & 2010 Power India, 2010 Joint

International Conference on, IEEE, 2010, pp. 1–7.

[3] K. Reichert, The calculation of the temperature distribution in electrical

machines with the aid of the finite difference method, EGZ. A Bd 90

(1969) H6.

[4] C. Tindall, S. Brankin, Loss-at-source thermal modelling in salient

pole alternators using 3-dimensional finite difference techniques, IEEE

Transactions on Magnetics 24 (1) (1988) 278–281.

[5] A. Armor, M. Chari, Heat flow in the stator core of large turbinegenerators,

by the method of three-dimensional finite elements part

ii: Temperature distribution in the stator iron, IEEE Transactions on

Power Apparatus and Systems 95 (5) (1976) 1657–1668.

[6] C.-C. Hwang, S. Wu, Y. Jiang, Novel approach to the solution of temperature

distribution in the stator of an induction motor, IEEE transactions

on Energy Conversion 15 (4) (2000) 401–406.

[7] A. Armor, Transient, three-dimensional, finite-element analysis of heat

flow in turbine-generator rotors, IEEE Transactions on Power Apparatus

and Systems (3) (1980) 934–946.

[8] E. Dlala, Comparison of models for estimating magnetic core losses

in electrical machines using the finite-element method, IEEE Transactions

on Magnetics 45 (2) (2009) 716–725.

[9] S. Ruoho, T. Santa-Nokki, J. Kolehmainen, A. Arkkio, Modeling magnet

length in 2-d finite-element analysis of electric machines, IEEE Transactions

on Magnetics 45 (8) (2009) 3114–3120.

[10] S. Ruoho, E. Dlala, A. Arkkio, Comparison of demagnetization models

for finite-element analysis of permanent-magnet synchronous machines,

IEEE Transactions on Magnetics 43 (11) (2007) 3964–3968.

[11] H. X. Xia, L. Li, J. J. Du, L. Liu, Analysis and calculation of the 3d rotor

temperature field of a generator-motor, in: Electrical Machines and

Systems (ICEMS), 2011 International Conference on, IEEE, 2011, pp.

1–4.

[12] M. Islam, A. Arkkio, Time-stepping finite-element analysis of eddy currents

in the form-wound stator winding of a cage induction motor supplied

from a sinusoidal voltage source, IET Electric Power Applications

2 (4) (2008) 256–265.

[13] R. Lin, A. Arkkio, 3-d finite element analysis of magnetic forces on

stator end-windings of an induction machine, IEEE Transactions on

Magnetics 44 (11) (2008) 4045–4048.

[14] M. J. Islam, J. Pippuri, J. Perho, A. Arkkio, Time-harmonic finiteelement

analysis of eddy currents in the form-wound stator winding

of a cage induction motor, IET Electric Power Applications 1 (5) (2007)

839–846.

[15] D. AK Sarkar, Naskar, Approximate analysis of transient heat conduction

in an induction motor during reactor starting, in: Power Electronics

India International Conference, IEEE, 2010, pp. 1–8.

[16] D. Sarkar, N. Bhattacharya, Approximate analysis of transient heat

conduction in an induction motor during star-delta starting, in: Industrial

Technology, 2006. ICIT 2006. IEEE International Conference on,

IEEE, 2006, pp. 1601–1606.

[17] G. B. Kumbhar, S. M. Mahajan, Analysis of short circuit and inrush

transients in a current transformer using a field-circuit coupled fe formulation,

International Journal of Electrical Power & Energy Systems

33 (8) (2011) 1361–1367.

[18] C. Mejuto, M. Mueller, M. Shanel, A. Mebarki, D. Staton, Thermal modelling

investigation of heat paths due to iron losses in synchronous

machines, IEEE PEMD.

[19] B. R. Samaga, K. Vittal, Comprehensive study of mixed eccentricity

fault diagnosis in induction motors using signature analysis, International

Journal of Electrical Power & Energy Systems 35 (1) (2012)

180–185.

[20] R. Mujal-Rosas, Analysis of the three-phase induction motor with spiral

sheet rotor, International Journal of Electrical Power & Energy Systems

35 (1) (2012) 1–9.

[21] E. Dlala, Comparison of models for estimating magnetic core losses

in electrical machines using the finite-element method, IEEE Transactions

on Magnetics 45 (2) (2009) 716–725.

[22] M. Rajagopal, D. Kulkarni, K. Seetharamu, P. Ashwathnarayana, Axisymmetric

steady state thermal analysis of totally enclosed fan cooled

induction motors using fem, in: 2nd Nat. Conf. on CAD/CAM, 1994, pp.

19–20.

[23] M. Rajagopal, K. Seetharamu, P. Ashwathnarayana, Transient thermal analysis of induction motors, in: IEEE Trans on Energy conversion,

Vol. 13, IEEE, 1998, pp. 932–939.

[24] N. Zhao, Z. Zhu, W. Liu, Thermal analysis and comparison of permanent

magnet motor and generator, in: Electrical Machines and Systems

(ICEMS), 2011 International Conference on, IEEE, 2011, pp. 1–

5.

[25] J. Pippuri, A. Belahcen, E. Dlala, A. Arkkio, Inclusion of eddy currents

in laminations in two-dimensional finite element analysis, IEEE Transactions

on Magnetics 46 (8) (2010) 2915–2918.

Published

2016-09-17

How to Cite

BHATTACHARYA, Nirmal Kr.; NASKAR, Ashok Kr.; SARKAR, Debasis.
Use of 3–dimensional finite elements for computation of temperature distribution in the Stator of an Induction Motor during Direct-On-Line Starting.

**Journal of Power Technologies**, [S.l.], v. 97, n. 4, p. 347–353, sep. 2016. ISSN 2083-4195. Available at: <https://papers.itc.pw.edu.pl/index.php/JPT/article/view/903>. Date accessed: 05 aug. 2021.
Issue

Section

Electrical Engineering

### Keywords

FEM, Induction Motor, Thermal Analysis, Transients, Design Performance

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