Optimization of the shape of an induction heating device in the presence of skin effect in the coils

Purpose The optimization of the cross section of an axisymmetric induction heating device is performed by means of genetic algorithms (GAs). Design/methodology/approach The hybrid finite element method–Dirichlet boundary condition iteration method is used to deal with the unbounded nature of the field. The formulation of the electromagnetic problems takes into account skin and proximity effects in the source currents. Findings The convergence of GAs towards the optimum is very fast, since less than a thousand analyses have been necessary. Originality/value A special derivation of the finite element global system is presented which allows us to save computing time.

Download Full-text

Solution of skin-effect problems by means of the hybrid SDBCI method

COMPEL The International Journal for Computation and Mathematics in Electrical and Electronic Engineering ◽

10.1108/compel-12-2013-0441 ◽

2014 ◽

Vol 33 (6) ◽

pp. 1935-1949 ◽

Cited By ~ 3

Author(s):

Giovanni Aiello ◽

Salvatore Alfonzetti ◽

Nunzio Salerno

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Skin Effect ◽

Singular Integrals ◽

Computing Time ◽

Dirichlet Condition ◽

Open Boundary ◽

Content Type ◽

Hybrid Finite Element Method ◽

Element Method

Purpose – The purpose of this paper is to present a modified version of the hybrid Finite Element Method-Dirichlet Boundary Condition Iteration method for the solution of open-boundary skin effect problems. Design/methodology/approach – The modification consists of overlapping the truncation and the integration boundaries of the standard method, so that the integral equation becomes singular as in the well-known Finite Element Method-Boundary Element Method (FEM-BEM) method. The new method is called FEM-SDBCI. Assuming an unknown Dirichlet condition on the truncation boundary, the global algebraic system is constituted by the sparse FEM equations and by the dense integral equations, in which singularities arise. Analytical formulas are provided to compute these singular integrals. The global system is solved by means of a Generalized Minimal Residual iterative procedure. Findings – The proposed method leads to slightly less accurate numerical results than FEM-BEM, but the latter requires much more computing time. Practical implications – Then FEM-SDBCI appears more appropriate than FEM-BEM for applications which require a shorter computing time, for example in the stochastic optimization of electromagnetic devices. Originality/value – Note that FEM-SDBCI assumes a Dirichlet condition on the truncation boundary, whereas FEM-BEM assumes a Neumann one.

Download Full-text

A hybrid finite element method for near bodies of revolution (EM scattering)

IEEE Transactions on Magnetics ◽

10.1109/20.104937 ◽

1991 ◽

Vol 27 (5) ◽

pp. 3833-3836 ◽

Cited By ~ 26

Author(s):

W.E. Boyse ◽

A.A. Seidl

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Em Scattering ◽

Bodies Of Revolution ◽

Hybrid Finite Element Method ◽

Hybrid Finite Element ◽

Element Method

Download Full-text

A domain decomposition method for the solution of large electromagnetic problems using a massively parallel hybrid finite element - integral equation MLFMA [multilevel fast multipole algorithm]

IEEE Antennas and Propagation Society Symposium, 2004. ◽

10.1109/aps.2004.1329641 ◽

2004 ◽

Cited By ~ 3

Author(s):

D. Goudin ◽

M. Mandallena ◽

K. Mer-Nkonga ◽

B. Stupfel

Keyword(s):

Integral Equation ◽

Finite Element ◽

Decomposition Method ◽

Domain Decomposition Method ◽

Massively Parallel ◽

Electromagnetic Problems ◽

Hybrid Finite Element ◽

Parallel Hybrid ◽

Multilevel Fast Multipole Algorithm ◽

Fast Multipole Algorithm

Download Full-text

Modelling Plates and Shells by Means of the Rigid Finite Element Method

Archive of Mechanical Engineering ◽

10.1515/meceng-2015-0007 ◽

2015 ◽

Vol 62 (1) ◽

pp. 101-114 ◽

Cited By ~ 1

Author(s):

Iwona Adamiec-Wójcik ◽

Andrzej Nowak ◽

Stanisław Wojciech

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Free Vibrations ◽

The Finite Element Method ◽

Hybrid Finite Element Method ◽

Hybrid Finite Element ◽

Rigid Finite Element Method ◽

Plates And Shells ◽

Single Set ◽

Element Method

Abstract The rigid finite element method (RFEM) has been used mainly for modelling systems with beam-like links. This paper deals with modelling of a single set of electrodes consisting of an upper beam with electrodes, which are shells with complicated shapes, and an anvil beam. Discretisation of the whole system, both the beams and the electrodes, is carried out by means of the rigid finite element method. The results of calculations concerned with free vibrations of the plates are compared with those obtained from a commercial package of the finite element method (FEM), while forced vibrations of the set of electrodes are compared with those obtained by means of the hybrid finite element method (HFEM) and experimental measurements obtained on a special test stand.

Download Full-text