A mathematical analysis of two dimensional steady state heat conduction in the coil of an induction heater using finite element method
Abstract
In developing heaters typically an induction heater within specific temperature limits can be a key issue impacting the efficiencyof the overall policy, as the typical loading of an induction heater is costly. Mathematical modelling is highly useful in termsof estimating the rise in temperature and in shedding light on the wider processes. The projected model might in additionreduce computing prices. The paper develops a 2-Dimensional (2-D) steady state thermal model in polar co-ordinates bymeans of finite element formulation and arch shaped components. A temperature time methodology is utilized to calculatethe distribution of loss in various elements of the induction heater and used as input for finite element analysis. Additionalprecise temperature distributions are obtained. The projected model is applied to predict the temperature rise within the coilof the induction heater 3200 W totally encircled fan-cooled induction heater. The temperature distribution was determinedconsidering convection from the outer air gap surface and circular finish surface for each entirely encircled and semi encircledstructures.References
[1] A. Armor, 1981 power engineering society prize paper transient, threedimensional,
finite-element analysis of heat flow in turbine-generator
rotors, IEEE Power Engineering Review (9) (1981) 11–23.
[2] N. Contuzzi, S. Campanelli, A. Ludovico, 3 d finite element analysis in
the selective laser melting process, International Journal of Simulation
Modelling 10 (3) (2011) 113–121.
[3] P. Ternik, R. Rudolf, Heat transfer enhancement for natural convection
flow of water-based nanofluids in a square enclosure, International
Journal of Simulation Modelling 11 (1) (2012) 29–39.
[4] D. Sarkar, A. Naskar, Computation of thermal condition in an induction
motor during reactor starting, International Journal of Electrical Power
& Energy Systems 44 (1) (2013) 938–948.
[5] A. Naskar, D. Sarkar, New approach for computational analysis of temperature
rise phenomena in the rotor of an induction motor, Energy
Systems 6 (2) (2015) 221–247.
[6] Y. Huai, R. V. Melnik, P. B. Thogersen, Computational analysis of temperature
rise phenomena in electric induction motors, Applied Thermal
Engineering 23 (7) (2003) 779–795.
[7] A. M. Law, Simulation Modeling and Analysis, 5th Edition, McGraw-
Hill, New York, 2015.
[8] T. A. Jankowski, D. P. Johnson, J. D. Jurney, J. E. Freer, L. M.
Dougherty, S. A. Stout, Experimental observation and numerical prediction
of induction heating in a graphite test article, in: The Proceeding
of the COMSOL conference, 2009.
[9] J. Milewski, W. Bujalski, M. Wolowicz, K. Futyma, J. Kucowski, Offdesign
operation of an 900 mw-class power plant with utilization of low
temperature heat of flue gases, Journal of Power Technologies 95 (3)
(2015) 221–227.
[10] P. Blecha, D. Prostrednik, Influence on the failure probability, Annals of
DAAAM & Proceedings (2011) 11–13.
[11] L. Ran, E. Chong, C. Ng, M. Farrag, J. Holden, An inductive charger
with a large air-gap, in: Power Electronics and Drive Systems, 2003.
PEDS 2003. The Fifth International Conference on, Vol. 2, IEEE, 2003,
pp. 868–871.
[12] A. K. Naskar, N. K. Bhattacharya, S. Saha, S. Kundu, Thermal analysis
of underground power cables using two dimensional finite element
method, in: Condition Assessment Techniques in Electrical Systems
(CATCON), 2013 IEEE 1st International Conference on, IEEE, 2013,
pp. 94–99.
[13] A. Naskar, D. Sarkar, Approximate analysis of 2-dimensional heat conduction
in the rotor of an induction motor during reactor starting, in:
2012 IEEE 5th India International Conference on Power Electronics
(IICPE), IEEE, 2012, pp. 1–6.
[14] C. Carretero, R. Alonso, J. Acero, Interference emission estimation
of domestic induction cookers based on finite element simulation,
Spanish MICINN under Project TEC2010-19207, Project CSD2009-
00046, and Project IPT-2011-1158-920000, DGA-FSE and Bosch and
Siemens Home Appliances Group (2011).
[15] D. Istardi, A. Triwinarko, Induction heating process design using comsol
multiphysics software, TELKOMNIKA (Telecommunication Computing
Electronics and Control) 9 (2) (2013) 327–334.
[16] A. Boadi, Y. Tsuchida, T. Todaka, M. Enokizono, Designing of suitable
construction of high-frequency induction heating coil by using
finite-element method, IEEE Transactions on Magnetics 41 (10) (2005)
4048–4050.
finite-element analysis of heat flow in turbine-generator
rotors, IEEE Power Engineering Review (9) (1981) 11–23.
[2] N. Contuzzi, S. Campanelli, A. Ludovico, 3 d finite element analysis in
the selective laser melting process, International Journal of Simulation
Modelling 10 (3) (2011) 113–121.
[3] P. Ternik, R. Rudolf, Heat transfer enhancement for natural convection
flow of water-based nanofluids in a square enclosure, International
Journal of Simulation Modelling 11 (1) (2012) 29–39.
[4] D. Sarkar, A. Naskar, Computation of thermal condition in an induction
motor during reactor starting, International Journal of Electrical Power
& Energy Systems 44 (1) (2013) 938–948.
[5] A. Naskar, D. Sarkar, New approach for computational analysis of temperature
rise phenomena in the rotor of an induction motor, Energy
Systems 6 (2) (2015) 221–247.
[6] Y. Huai, R. V. Melnik, P. B. Thogersen, Computational analysis of temperature
rise phenomena in electric induction motors, Applied Thermal
Engineering 23 (7) (2003) 779–795.
[7] A. M. Law, Simulation Modeling and Analysis, 5th Edition, McGraw-
Hill, New York, 2015.
[8] T. A. Jankowski, D. P. Johnson, J. D. Jurney, J. E. Freer, L. M.
Dougherty, S. A. Stout, Experimental observation and numerical prediction
of induction heating in a graphite test article, in: The Proceeding
of the COMSOL conference, 2009.
[9] J. Milewski, W. Bujalski, M. Wolowicz, K. Futyma, J. Kucowski, Offdesign
operation of an 900 mw-class power plant with utilization of low
temperature heat of flue gases, Journal of Power Technologies 95 (3)
(2015) 221–227.
[10] P. Blecha, D. Prostrednik, Influence on the failure probability, Annals of
DAAAM & Proceedings (2011) 11–13.
[11] L. Ran, E. Chong, C. Ng, M. Farrag, J. Holden, An inductive charger
with a large air-gap, in: Power Electronics and Drive Systems, 2003.
PEDS 2003. The Fifth International Conference on, Vol. 2, IEEE, 2003,
pp. 868–871.
[12] A. K. Naskar, N. K. Bhattacharya, S. Saha, S. Kundu, Thermal analysis
of underground power cables using two dimensional finite element
method, in: Condition Assessment Techniques in Electrical Systems
(CATCON), 2013 IEEE 1st International Conference on, IEEE, 2013,
pp. 94–99.
[13] A. Naskar, D. Sarkar, Approximate analysis of 2-dimensional heat conduction
in the rotor of an induction motor during reactor starting, in:
2012 IEEE 5th India International Conference on Power Electronics
(IICPE), IEEE, 2012, pp. 1–6.
[14] C. Carretero, R. Alonso, J. Acero, Interference emission estimation
of domestic induction cookers based on finite element simulation,
Spanish MICINN under Project TEC2010-19207, Project CSD2009-
00046, and Project IPT-2011-1158-920000, DGA-FSE and Bosch and
Siemens Home Appliances Group (2011).
[15] D. Istardi, A. Triwinarko, Induction heating process design using comsol
multiphysics software, TELKOMNIKA (Telecommunication Computing
Electronics and Control) 9 (2) (2013) 327–334.
[16] A. Boadi, Y. Tsuchida, T. Todaka, M. Enokizono, Designing of suitable
construction of high-frequency induction heating coil by using
finite-element method, IEEE Transactions on Magnetics 41 (10) (2005)
4048–4050.
Published
2017-11-01
How to Cite
ROY, Debabrata; NASKAR, Ashok Kumar; SADHU, Pradip Kumar.
A mathematical analysis of two dimensional steady state heat conduction in the coil of an induction heater using finite element method.
Journal of Power Technologies, [S.l.], v. 97, n. 3, p. 214--219, nov. 2017.
ISSN 2083-4195.
Available at: <https://papers.itc.pw.edu.pl/index.php/JPT/article/view/851>. Date accessed: 22 dec. 2024.
Issue
Section
Electrical Engineering
Keywords
Induction Heater, Coil, Design Performance, FEM.
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