Paper Information

Journal:   INTERNATIONAL JOURNAL OF ENGINEERING   NOVEMBER 2003 , Volume 16 , Number 4 (TRANSACTIONS A: BASICS); Page(s) 319 To 330.
 
Paper: 

SIGNIFICANT ERROR PROPAGATION IN THE FINITE DIFFERENCE SOLUTION OF NON-LINEARMAGNETOSTATIC PROBLEMS UTILIZING BOUNDARY CONDITION OF THE THIRD KIND

 
 
Author(s):  AFJEHEI S.A.A.F., RASHED MOHASEL J., ARBAB M.H.
 
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Abstract: 
This paper poses two magnetostatic problems in cylindrical with different ‎permeabilities for each region. In the first problem the boundary condition of the ‎second kind is used while in the second one, the boundary condition of the third kind ‎is utilized. These problems are solved using the finite element and finite difference ‎methods. In second problem, the results of the finite difference method show low ‎magnetic vector potential as well as the magnetic field density when compared t the ‎finite element results and in the linear case, to the analytical solution. This paper ‎investigates the reason behind the low magnetostatic field computation in cylindrical ‎coordinates using the finite difference method when boundary condition of the third ‎kind is used. It then, presents a technique to overcome the problem of low magnetic ‎field calculation using the finite difference method. The results obtained by the new ‎technique are in close agreement with the finite element method as well as the ‎analytical solution. Finally, it analyzes the possible source of error in modeling ‎magnetostatic boundary conditions in finite difference formulation of vector Poisson ‎or Laplace"s equation in cylindrical coordinates‎‏.‏
 
Keyword(s): NONLINEAR MAGNETIC FIELD, FINITE DIFFERENCE, FINITE ELEMENT, ELECTROMAGNETICS
 
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