2D analytical solution of transverse flux induction heating of the aluminum plates

Ouazir, Youcef; Abdi, Afshin; Bensaidane, H.

doi:10.1109/icelmach.2012.6350273

Cited by 5 publications

(6 citation statements)

References 10 publications

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“…Tdue to the movement makes the analytical resolution of the thermal diffusion equation ( 8) difficult. For simplifying the study, we assume in all what follows that the thermal source is mobile and the workpiece to be heated is fixed (Ouazir et al, 2012). For this, a change of reference frame is performed (x 0 = x -v.t).…”

Section: D Analytical Transient Thermal Modelmentioning

confidence: 99%

Transient quasi-3D magneto-thermal analytical solution in PM induction heating device

Abdi

Ouazir

Barakat

et al. 2020

COMPEL

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Purpose This paper aims to develop a new quasi-three dimensional (3D) analytical model devoted to the study of nonlinear transient magneto-thermal coupled problems in permanent magnet (PM) transverse flux induction heating device (TFIHD). Design/methodology/approach The presented work is based on analytical development of strongly coupled problem, including electromagnetic and thermal boundary problems. The electromagnetic problem is first solved by using the separation variables method to evaluate the induced currents in the nonmagnetic plate and the resulting power density loss distribution. The plate temperature profile is then obtained thanks to strong involvement of this magnetic model in a new analytical thermal model combining the separation of variables method and the Green’s functions transient regime analysis method. The coupled model is then used in a simulation procedure of the magneto-thermal process allowing taking into account the workpiece electrothermal nonlinear properties. The developed coupled model is validated by computing the performances of the studied PM TFIHD and comparing them to those obtained by finite element simulations. Finding An efficient transient quasi-3D magneto-thermal analytical model is developed allowing rapid analysis of PM induction heating for core heating of parallelepiped parts. The developed model also allows fast and accurate simulations of nonlinear and transient three dimensional (3D) magneto-thermal phenomena for planar induction heaters. Research limitations implications The developed quasi-3D magneto-thermal analytical model is limited to design induction heating devices of planar structure with PM inductors. Originality/value A new transient quasi-3D magneto-thermal analytical model accounts for non-linearity and edge effect and helps to fast study and fast design of linear permanent magnet induction heating device.

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Section: D Analytical Transient Thermal Modelmentioning

confidence: 99%

Transient quasi-3D magneto-thermal analytical solution in PM induction heating device

Abdi

Ouazir

Barakat

et al. 2020

COMPEL

View full text Add to dashboard Cite

show abstract

“…This term makes the analytical resolution of the thermal diffusion equation difficult. To simplify the study, in all what follows, the thermal source is assumed to be mobile and the plate to be heated is assumed to be fixed (Ouazir et al , 2012). For this goal, a change of reference frame is performed (x‘ = x − V · t).…”

Section: Transverse Flux Magnetic Heating Inductor Theorymentioning

confidence: 99%

Permanent magnet linear induction heating device: new topology enhancing performances

Abdi

Ouazir

Barakat

et al. 2018

COMPEL

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Purpose This work aims to study a new design of linear permanent magnet transverse flux induction heating devices of nonmagnetic parallelepipedic workpiece. In these topologies, the permanent magnet inductor produces a static magnetic field, and the workpiece to be heated is subjected to a linear movement. To study the magnetothermal process, a new analytical coupling method between the magnetic and thermal phenomena is developed. This analytical model described in this study takes into account the variation of the physical properties of the heated workpiece. The analytical results are compared with good agreement to those issued from finite elements simulations, as well as those issued from measurements on an actual prototype. Design/methodology/approach The research methodology is based on analytical development of coupled problem, including the electromagnetic and thermal boundary problems. A strongly coupled magneto-thermal analytical model is developed; the time dependent magnetic problem is first solved by using the separation of variables method to evaluate the induced currents in the nonmagnetic plate and the resulting power density loss distribution. The plate temperature profile is then obtained, thanks to strong involvement of this magnetic model in a new analytical thermal model based on a synergy of separation of variables method and Green’s function transient regime analysis method. Findings The results show that an efficient transient magneto-thermal analytical model was developed allowing fast analysis of permanent magnet induction heater for deep heating of parallelepipedic workpieces. Developed model allows also fast and precise simulations of nonlinear and transient magneto-thermal phenomena for different types of permanent magnet induction heating devices. Practical implications The developed magneto-thermal analytical model can be used for fast designing of permanent magnet linear induction heating devices for moving parallelepipedic nonmagnetic workpiece. Originality/value A new analytical coupled model, including the electromagnetic and transient thermal boundary problem with additional algebraic equations and taking into account the nonlinearity, has been developed. The developed model accuracy was validated with a permanent magnet linear induction heating device. Developed coupled analytical model allows fast analysis and designing of such permanent magnet linear induction heating devices.

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“…Researchers proved that the in short pitch coil the obtained temperature range is wider and better than the full pitch coil. Also, the heat uniformity is more than the full pitch coil and the time rise time is shorter than of full pitch [10, 11]. Moreover, researchers find out that the arrangement of coil windings could affect the heat distribution.…”

Section: Configuration Of Twihmentioning

confidence: 99%

Five‐phase travelling wave induction heater for continuous heating of flat material

Al-Shaikhli

Humod

Hasan

2016

J. eng.

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2D analytical solution of transverse flux induction heating of the aluminum plates

Cited by 5 publications

References 10 publications

Transient quasi-3D magneto-thermal analytical solution in PM induction heating device

Transient quasi-3D magneto-thermal analytical solution in PM induction heating device

Permanent magnet linear induction heating device: new topology enhancing performances

Five‐phase travelling wave induction heater for continuous heating of flat material

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