A novel nonlinearity marginalization technique for effective solution of induction heating problems by cell method

Zhu, G; Liu, X; Li, L; Zhu, J

A novel nonlinearity marginalization technique for effective solution of induction heating problems by cell method

Zhu, G Liu, X Li, L Zhu, J

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Publisher:: IOP Publishing
Publication Type:: Journal Article
Citation:: Journal of Physics D: Applied Physics, 2020, 53, (24), pp. 245502-245502
Issue Date:: 2020-06-10

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Field	Value	Language
dc.contributor.author	Zhu, G
dc.contributor.author	Liu, X
dc.contributor.author	Li, L
dc.contributor.author	Zhu, J https://orcid.org/0000-0002-9763-4047
dc.date.accessioned	2020-10-18T20:51:56Z
dc.date.available	2020-10-18T20:51:56Z
dc.date.issued	2020-06-10
dc.identifier.citation	Journal of Physics D: Applied Physics, 2020, 53, (24), pp. 245502-245502
dc.identifier.issn	0022-3727
dc.identifier.issn	1361-6463
dc.identifier.uri	http://hdl.handle.net/10453/143352
dc.description.abstract	© 2020 IOP Publishing Ltd. The modelling and analysis of induction heating process is a strongly coupled nonlinear electromagnetic-thermodynamic problem. It is of great theoretical and practical significance to develop an effective numerical technique for solving the coupled nonlinear governing equations. This paper presents a mathematical model of the coupled electromagnetic-thermodynamic fields of induction heating problems, taking into account the nonlinearity due to temperature dependent physical properties and the heat sources due to eddy currents. Due to the temperature dependent nonlinearity, the conventional approach to dynamic problems is to reconstruct the global stiffness matrix for each time step, which increases dramatically the computational burden. A new method is proposed in this paper to reduce the computational burden by modifying the mathematical model to marginalize the nonlinearity throughout the calculation domain to the external surfaces. This method can effectively reduce the degree of nonlinearity, and simplify efficaciously the calculation process. The proposed model and method are combined with the algebraically formed cell method to analyze the induction heating process of an aluminum cylindrical billet. The calculation results are validated by the 3D finite element analysis.
dc.language	en
dc.publisher	IOP Publishing
dc.relation.ispartof	Journal of Physics D: Applied Physics
dc.relation.isbasedon	http://dx.doi.org/10.1088/1361-6463/ab7f72
dc.rights	info:eu-repo/semantics/closedAccess
dc.rights	This is an author-created, un-copyedited version of an article accepted for publication in Journal of Physics D: Applied Physics. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The definitive publisher-authenticated version is available online at http://dx.doi.org/10.1088/1361-6463/ab7f72.	en_US
dc.subject	02 Physical Sciences, 09 Engineering
dc.subject.classification	Applied Physics
dc.title	A novel nonlinearity marginalization technique for effective solution of induction heating problems by cell method
dc.type	Journal Article
utslib.citation.volume	53
utslib.for	02 Physical Sciences
utslib.for	09 Engineering
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Strength - CCET - Centre for Clean Energy Technology
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Electrical and Data Engineering
pubs.organisational-group	/University of Technology Sydney
utslib.copyright.status	closed_access	*
dc.date.updated	2020-10-18T20:51:51Z
pubs.issue	24
pubs.publication-status	Published
pubs.volume	53
utslib.citation.issue	24

Abstract:

© 2020 IOP Publishing Ltd. The modelling and analysis of induction heating process is a strongly coupled nonlinear electromagnetic-thermodynamic problem. It is of great theoretical and practical significance to develop an effective numerical technique for solving the coupled nonlinear governing equations. This paper presents a mathematical model of the coupled electromagnetic-thermodynamic fields of induction heating problems, taking into account the nonlinearity due to temperature dependent physical properties and the heat sources due to eddy currents. Due to the temperature dependent nonlinearity, the conventional approach to dynamic problems is to reconstruct the global stiffness matrix for each time step, which increases dramatically the computational burden. A new method is proposed in this paper to reduce the computational burden by modifying the mathematical model to marginalize the nonlinearity throughout the calculation domain to the external surfaces. This method can effectively reduce the degree of nonlinearity, and simplify efficaciously the calculation process. The proposed model and method are combined with the algebraically formed cell method to analyze the induction heating process of an aluminum cylindrical billet. The calculation results are validated by the 3D finite element analysis.

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http://hdl.handle.net/10453/143352