Numerical Solution of Electromagnetic Field Problems in Two and Three Dimensions

摘要

Recent developments in algorithms for solving electromagnetic field problems carried out at Rutherford Appleton Laboratory (RAL) are reviewed. The interaction of electric and magnetic fields provides many examples of coupled problems which have been solved by the Finite Element method. This paper concentrates on static and low frequency problems using the differential operator approach. The status of computation for 2D fields is discussed. The use of scalar potentials for 3D static fields for economy is emphasized, and the importance of selecting potential types carefully to minimize numerical cancellation errors is also discussed - another example of a coupled problem. Some formulations for the vector 3D field problem for eddy current fields are derived with analytic and experimental field measurement comparisons. Results using software packages built at RAL are presented to illustrate the methods. (Copyright (c) Science and Engineering Research Council 1981.)