Asymptotic boundary condition for three dimensional magnetostatic finite elements

Brauer, J.R.; Schaefer, S.M.; Lee, J.-F.; Mittra, R.

doi:10.1109/20.278724

Cited by 31 publications

(5 citation statements)

References 8 publications

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“…Finite Element Modelling 39 [49], [50]. Open-boundary, as its name suggests, is used for the analysis of fields with no obvious boundary, end-region fluxes in electric motors for example [51].…”

Section: Chaptermentioning

confidence: 99%

Electromagnetic modelling of high speed induction motors

Velázquez¹,

Smith²

2016

8th IET International Conference on Power Electronics, Machines and Drives (PEMD 2016)

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Improvement in the power density of induction machines can be achieved when they operate at high rotational speeds using frequency converters that provide a higher frequency supply to the motor. Applications such as compressors require intrinsically high-speed operation. In these cases the mechanical integrity is prioritized over the electromagnetic performance and solid rotors are normally used instead of laminated rotors so they can withstand the peripheral and radial stresses caused by the high speeds. Small skin depths are associated with solid rotor structures; this complicates the electromagnetic analysis when FE modelling is used because a fine mesh is typically required. Although analytical methods in general tend to be less accurate than FE models, they can provide faster and reasonably accurate results. This thesis evaluates the use of an analytical multi-layer model as a preliminary design tool for determining the electromagnetic performance of high-speed copper-coated solid rotors. A simple FE model is developed in order to validate the results obtained from the analytical model. The input to the analytical multi-layer and FE models is normally current; consequently they are modified to work with voltage as the input reference. The multi-layer model is compared under constant current operation and constant voltage operation. The limitations of the analytical multi-layer model are highlighted. Declaration 13 Declaration No portion of the work referred to in the thesis has been submitted in support of an application for another degree or qualification of this or any other university or other institute of learning.

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Section: Chaptermentioning

confidence: 99%

Electromagnetic modelling of high speed induction motors

Velázquez¹,

Smith²

2016

8th IET International Conference on Power Electronics, Machines and Drives (PEMD 2016)

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“…Among the various methods which have been proposed to solve static and quasi‐static electromagnetic field problems in open‐boundary domains by means of the finite element method (FEM) (Silvester and Ferrari, 1996), such as ballooning (Silvester et al , 1977), asymptotic boundary conditions (Brauer et al , 1991), infinite elements (Bettess, 1977), hybrid FEM/boundary element method (BEM) (Salon and D'Angelo, 1988) and co‐ordinate transformations (Lowther et al , 1989; Imhoff et al , 1990), the authors have devised the hybrid finite element method‐Dirichlet boundary condition iteration (FEM‐DBCI) method to solve electrostatic field (Aiello et al , 1994, 1996a), and eddy‐current problems (Aiello et al , 1996b, 2003).…”

Section: Introductionmentioning

confidence: 99%

Numerical implementations of the FEM‐DBCI integral equation

Alfonzetti

Aiello

Dilettoso

2008

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

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PurposeThis paper aims to discuss various numerical implementations of the integral equation in the hybrid finite element method‐Dirichlet boundary condition iteration (FEM‐DBCI) method for the numerical solution of unbounded static and quasi‐static electromagnetic field problems.Design/methodology/approachThree numerical implementations are described and compared from the point of view of accuracy and complexity, by means of two examples regarding simple electrostatic problems.FindingsThe implementation by means of a pair of integration surfaces made of element sides leads to accuracy levels which are much better than that of a single surface (made of element sides) and only a little worse than that of a single surface connecting point in the middle of finite element sides.Practical implicationsThe former implementations, however, are simpler since they are practically the same as that of a standard boundary element method integral equation.Originality/valueThe paper constitutes a useful guide to the implementation of the FEM‐DBCI method.

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“…The finite element computation of electric and magnetic fields in open boundary domains is a research topic for which several authors have proposed different methods (e. g. ballooning [ 11, infinite elements [2], asymptotic boundary conditions (ABC) [3], hybrid F E W E M (Finite Element Method -Boundary Element Method) [4] and co-ordinate transformations [5,6]) in such a way that the analysis can be restricted to a small-extension domain at the expense of complication of the standard FEM procedure. Of course the complication is greater if the basic field problem is nonlinear and time-varying.…”

Section: Introductionmentioning

confidence: 99%

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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Asymptotic boundary condition for three dimensional magnetostatic finite elements

Cited by 31 publications

References 8 publications

Electromagnetic modelling of high speed induction motors

Electromagnetic modelling of high speed induction motors

Numerical implementations of the FEM‐DBCI integral equation

A predictor-corrector scheme for open boundary problems

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