3D finite element solution of induction heating problems with efficient time-stepping

Conference · Sun Sep 01 00:00:00 EDT 1991 · IEEE Transactions on Magnetics (Institute of Electrical and Electronics Engineers); (United States)

OSTI ID:5510966

Mesquita, R C ^[1]; Bastos, J P.A. ^[2]

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1. DEE, Univ. Federal de Minas Gerais, Av. do Contorno 842, Centro 30110, Belo Horizonte (BR)
2. GRUCAD/EEL/CTC/UFSC, Campus Universitario, 88049 Florianopolis, Santa Catarina (BR)

In this paper a method for the induction heating problem solution in three dimensions is presented. This method couples the transient heat conduction equation associated to convective and radiative boundary conditions with the electromagnetic system modeled by the A {psi}-{phi} method. THe nonlinearities associated to the variation of parameters with the temperature as well as the modeling of the Curie point are also included. Particular attention is given to the time stepping scheme which allows a time-step variation based on the estimation of the error due to time discretization and to the incomplete solution of the problem's nonlinearity. This generates a method which avoids the need of iterative calculations in each time step of the non-linear coupled problem.

• OSTI ID: 5510966
• Report Number(s): CONF-9010105-; CODEN: IEMGA
• Journal Information: IEEE Transactions on Magnetics (Institute of Electrical and Electronics Engineers); (United States), Vol. 27:5; Conference: 4. biennial conference on electromagnetic field computation, Toronto (Canada), 22-24 Oct 1990; ISSN 0018-9464
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
42 ENGINEERING
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ELECTROMAGNETIC FIELDS
NONLINEAR PROBLEMS
INDUCTION FURNACES
THERMODYNAMICS
BOUNDARY CONDITIONS
CURIE POINT
FINITE ELEMENT METHOD
INDUCTION
ITERATIVE METHODS
RADIANT HEAT TRANSFER
TEMPERATURE DEPENDENCE
THREE-DIMENSIONAL CALCULATIONS
TRANSIENTS
ELECTRIC FURNACES
ENERGY TRANSFER
FURNACES
HEAT TRANSFER
NUMERICAL SOLUTION
PHYSICAL PROPERTIES
THERMODYNAMIC PROPERTIES
TRANSITION TEMPERATURE
661300* - Other Aspects of Physical Science- (1992-)
990200 - Mathematics & Computers
420400 - Engineering- Heat Transfer & Fluid Flow
665510 - Magnetohydrodynamics- (1992-)