A survey of numerical methods for transient eddy current problems

Tsukerman, Igor; Konrad, A.; Bedrosian, G.; Chari, M.V.K.

doi:10.1109/20.250735

Cited by 32 publications

(19 citation statements)

References 24 publications

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“…The solution at time t, is obtained by means of (4) and (12), provided that the solution at time tn-, is known.…”

Section: The Iterative Proceduresmentioning

confidence: 99%

“…Arbitrarily guessing the magnetic vector potential on BF at time tn, the non-linear equation [4] is solved for A(tn) by means of the NewtonRaphson technique. Equation (12) is then used to improve the potential on BF. This procedure will continue until a convergence test is satisfied.…”

Section: The Iterative Proceduresmentioning

confidence: 99%

“…It is based on the well-known predictor-corrector scheme [ 10,11,12]. Denoting by V and VF the predictors for the magnetic vector potential on the internal and fictitious-boundary nodes respectively, at time tn the following algebraic systems arise:…”

Section: The Iterative Proceduresmentioning

confidence: 99%

See 2 more Smart Citations

A predictor-corrector scheme for open boundary problems

1998

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In this paper an iterative finite-element procedure is described for the solution of non-linear timevarying eddy current problems in open boundaries. A fictitious boundary delimiting a bounded domain is introduced. At each discrete time, two algebraic systems are set up and solved for the predictor and corrector solutions. Both these systems are solved iteratively by assuming a first guess for the Dirichlet condition on the fictitious boundary and improving it by making use of the free-space Green's function until convergence takes place. A great reduction of computing time is obtained with respect to the solution with a Newton-Raphson solver. Index terms -Finite element methods, magnetic fields, eddy currents, open boundary problems.

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“…The solution at time t, is obtained by means of (4) and (12), provided that the solution at time tn-, is known.…”

Section: The Iterative Proceduresmentioning

confidence: 99%

Section: The Iterative Proceduresmentioning

confidence: 99%

See 1 more Smart Citation

A predictor-corrector scheme for open boundary problems

1998

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“…fJ=O corresponds to the explicit Euler's method; fJ=1 is the implicit Euler's method; fJ=0.5 is the Crank-Nicolson's method and fJ=2/3 is the Garlerkin's method. The different approaches in solving the time stepping equations were surveyed by Tsukerman [28]. The implicit Euler's method and the Crank-Nicholson's method are mostly used [23][26] [29].…”

Section: Pseudo-stationary Approximationmentioning

confidence: 99%

Review and Future Application of Finite Element Methods in Induction Motors

1998

Electric Machines & Power Systems

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Finite element method (FEM) has become a very popular and practical tool for computing the magnetic fields in electrical machinery. Such numerical techniques enable the designer to study the problems that are difficult to be solved by analytical methods. This paper attempts to summarise the application of FEM in analysing the performance of induction motors. Different FEM involving a 20 magnetostatic model, a 20 complex eddy current model, a 20 rotating model, a 20 FEM coupled with circuit equations model and a 3D model are discussed. The merits and limitations of the various models are outlined. Further developments are also discussed by the authors.

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“…From a strictly mathematical, and therefore numerical, point of view, the quasi-static problem has certain difficulties. Assuming a uniform numerical treatment over the whole domain, an implicit method, such as the standard finite element (FE) or the finite difference frequency domain (FDFD) technique, usually results in extremely ill-conditioned matrices [2,3]. On the other hand, explicit methods, popular for high frequency analysis and ideal for time-advancing problems, like the finite difference time domain (FDTD) method [4], cannot be applied, since they are essentially based on the duality of Maxwell's equations, which does not hold in power frequencies, due to the absence of the displacement current term.…”

Section: Introductionmentioning

confidence: 99%