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Magnetic hysteresis modelling for electromagnetic field calculations

Magnetic hysteresis modelling for electromagnetic field calculations
Magnetic hysteresis modelling for electromagnetic field calculations

The modelling of magnetic materials for use in electromagnetic field calculations is reviewed and a new physically based model suitable for any time variation of alternating magnetic field is presented. It is based on the ideal magnetization curve, obtained when hysteresis Is eliminated and described well by Frollch’s equation. The other static magnetization effects are the reversible and Irreversible magnetization changes and a domain wall area effect. Each process is simply expressed and the seven coefficients required can be obtained from commonly published data. Dynamic effects can be Included by allowing for eddy currents or by using a new magnetic relaxation representation. The model is used to predict various magnetic properties Including hysteresis loops, the normal magnetization curve and the hysteresis loss.

Measurements to demonstrate the model's performance were made using ring shaped laminations with a fully controllable magnetic field. The magnetic field and magnetic flux density were recorded digitally for subsequent computer analysis and display. Comparison of the measurements with the computed magnetic properties shows the model to be realistic over a wide range of circumstances.

The condition where the magnetic field is periodic and expressed in terms of its Fourier harmonics Is examined and useful conclusions are drawn. Use is made of the normal magnetization, derived from the magnetic field using the curve joining the peaks of a family of hysteresis loops. It is found that the harmonics of the magnetization including hysteresis are related to the harmonics of the normal magnetization by phase shifts and small corresponding changes of magnitude. Under many circumstances the harmonic phase shifts are proportional to their harmonic number.

University of Southampton
Renew, David Christopher
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Renew, David Christopher
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Hammond, P.
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Steel, J.G.
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Renew, David Christopher (1984) Magnetic hysteresis modelling for electromagnetic field calculations. University of Southampton, Doctoral Thesis, 234pp.

Record type: Thesis (Doctoral)

Abstract

The modelling of magnetic materials for use in electromagnetic field calculations is reviewed and a new physically based model suitable for any time variation of alternating magnetic field is presented. It is based on the ideal magnetization curve, obtained when hysteresis Is eliminated and described well by Frollch’s equation. The other static magnetization effects are the reversible and Irreversible magnetization changes and a domain wall area effect. Each process is simply expressed and the seven coefficients required can be obtained from commonly published data. Dynamic effects can be Included by allowing for eddy currents or by using a new magnetic relaxation representation. The model is used to predict various magnetic properties Including hysteresis loops, the normal magnetization curve and the hysteresis loss.

Measurements to demonstrate the model's performance were made using ring shaped laminations with a fully controllable magnetic field. The magnetic field and magnetic flux density were recorded digitally for subsequent computer analysis and display. Comparison of the measurements with the computed magnetic properties shows the model to be realistic over a wide range of circumstances.

The condition where the magnetic field is periodic and expressed in terms of its Fourier harmonics Is examined and useful conclusions are drawn. Use is made of the normal magnetization, derived from the magnetic field using the curve joining the peaks of a family of hysteresis loops. It is found that the harmonics of the magnetization including hysteresis are related to the harmonics of the normal magnetization by phase shifts and small corresponding changes of magnitude. Under many circumstances the harmonic phase shifts are proportional to their harmonic number.

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Renew 1984 Thesis - Version of Record
Available under License University of Southampton Thesis Licence.
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Published date: 1984

Identifiers

Local EPrints ID: 460444
URI: http://eprints.soton.ac.uk/id/eprint/460444
PURE UUID: 84a90417-75e1-43c8-a6fb-566296529800

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Date deposited: 04 Jul 2022 18:22
Last modified: 16 Mar 2024 18:38

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Contributors

Author: David Christopher Renew
Thesis advisor: P. Hammond
Thesis advisor: J.G. Steel

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