Finite Element Applications in Electrical Engineering

A description of the finite element method and its specialization to low-frequency electrical applications is presented. Field plots of illustrative examples of devices are also shown. Attention is given to some of the problems encountered in modeling two- and three-component vectors, the use of edge elements, and force calculations. Accurate and computationally economical one-component vector potential methods for 2-D magnetostatic and eddy current problems appear to be the representation of choice. A total scalar potential solution for electrostatic fields and a modified reduced scalar potential solution described here for the 3-D magnetostatic problem may prove most suitable. >

[1]  M. V. K. Chari,et al.  Hybrid harmonic/finite element method for two-dimensional open boundary problems , 1987 .

[2]  G. Bedrosian,et al.  A new method for coupling finite element field solutions with external circuits and kinematics , 1993 .

[3]  D. Kershaw The incomplete Cholesky—conjugate gradient method for the iterative solution of systems of linear equations , 1978 .

[4]  J. Crank,et al.  A practical method for numerical evaluation of solutions of partial differential equations of the heat-conduction type , 1947 .

[5]  M. V. K. Chari,et al.  Finite-Element Solution of the Eddy-Current Problem in Magnetic Structures , 1974 .

[6]  J. Simkin,et al.  On the use of the total scalar potential on the numerical solution of fields problems in electromagnetics , 1979 .

[7]  F. Fouad,et al.  Magnetic Field Modeling of Permanent Magnet Type Electronically Operated Synchronous Machines Using Finite Elements , 1981, IEEE Transactions on Power Apparatus and Systems.

[8]  A. Y. Hannalla,et al.  Numerical analysis of transient field problems in electrical machines , 1976 .

[9]  J. D'Angelo,et al.  Three-dimensional vector potential analysis for machine field problems , 1982 .

[10]  A hybrid method for eddy current open‐boundary field computation , 1988 .

[11]  S. Salon,et al.  A hybrid finite element-boundary integral formulation of the eddy current problem , 1982 .

[12]  C. J. Carpenter,et al.  Comparison of alternative formulations of 3-dimensional magnetic-field and eddy-current problems at power frequencies , 1977 .

[13]  Isaak D. Mayergoyz,et al.  A new scalar potential formulation for three-dimensional magnetostatic problems , 1987 .

[14]  J. D'Angelo,et al.  Three dimensional RF scattering by the finite element method , 1991 .

[15]  A. Konrad Integrodifferential finite element formulation of two-dimensional steady-state skin effect problems , 1982 .

[16]  O. W. Andersen Transformer Leakage Flux Program Based on the Finite Element Method , 1973 .

[17]  M. Chari,et al.  Heat flow in the stator core of large turbine-generators, by the method of three-dimensional finite elements part II: Temperature distribution in the stator iron , 1976, IEEE Transactions on Power Apparatus and Systems.

[18]  M. Chari,et al.  Finite Element Solution of Saturable Magnetic Field Problems , 1970 .

[19]  S. Giuliani,et al.  Finite elements in the solution of electromagnetic induction problems , 1974 .

[20]  M.V.K. Chari,et al.  Comparison of Full and Reduced Potential Formulations for Low-frequency Applications , 1992, Digest of the Fifth Biennial IEEE Conference on Electromagnetic Field Computation.

[21]  Nabeel A. O. Demerdash,et al.  Finite element formulation and analysis of three dimensional magnetic field problems , 1980 .

[22]  P. Silvester,et al.  Exterior finite elements for 2-dimensional field problems with open boundaries , 1977 .

[23]  M. S. Mock,et al.  Analysis of mathematical models of semiconductors devices , 1983 .

[24]  J. L. Coulomb,et al.  A methodology for the determination of global electromechanical quantities from a finite element analysis and its application to the evaluation of magnetic forces, torques and stiffness , 1983 .

[25]  A. M. Winslow,et al.  MAGNETIC FIELD CALCULATIONS IN AN IRREGULAR TRIANGLE MESH , 1965 .

[26]  A. Foggia,et al.  Finite element solution of saturated travelling magnetic field problems , 1975, IEEE Transactions on Power Apparatus and Systems.

[27]  P. Silvester,et al.  MAGNETOTELLURIC MODELLING BY THE FINITE ELEMENT METHOD , 1972 .

[28]  S. J. Salon,et al.  Coupling of Transient Fields, Circuits, and Motion Using Finite Element Analysis , 1990 .

[29]  G. Bedrosian,et al.  Two-dimensional time-domain solution of the eddy current problem in rotating electrical machinery , 1990 .