By Topic

Combined finite element-modal solution of three-dimensional eddy current problems

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

2 Author(s)
Wong, S.H. ; Dept. of Electr. & Comput. Eng., Carnegie-Mellon Univ., Pittsburgh, PA, USA ; Cendes, Z.J.

The reliability of finite-element methods for modal analysis of two- and three-dimensional eddy-current problems is addressed. Separation of variables is used to convert transient-eddy-current problems into an ordinary differential equation in time and linear combination of normal modes in space. The eigensolution of the vector wave equation by the usual finite-element basis functions usually results in numerical instabilities that render the procedure worthless. It has been found that the root cause of these instabilities is the improper approximation of the null space of the curl operator. Three different methods that eliminate the instabilities completely have been developed. The first method uses C1 or derivative continuous finite elements; the second uses tangential vector basis functions developed in a companion paper; and the third uses ordinary Lagrangian finite elements but places them in a special mesh pattern so that C1 continuous polynomials are possible, although C1 continuity is not imposed

Published in:

Magnetics, IEEE Transactions on  (Volume:24 ,  Issue: 6 )