Title :
A stability paradox for time-stepping schemes in coupled field-circuit problems
Author_Institution :
Dept. of Electr. Eng., Toronto Univ., Ont., Canada
fDate :
5/1/1995 12:00:00 AM
Abstract :
The finite element model for the time dependent eddy current problem is coupled with mesh (loop) equations for arbitrary external circuits. Stability of the resultant system and the time-stepping scheme is analyzed. The backward difference scheme is shown to be stable, while the Crank-Nicholson method exhibits peculiar instability. Theoretical analysis is supported by numerical results for test and practical problems
Keywords :
eddy currents; eigenvalues and eigenfunctions; finite element analysis; numerical stability; Crank-Nicholson method; backward difference scheme; coupled field-circuit problems; finite element model; loop equations; mesh equations; stability; time dependent eddy current problem; time-stepping schemes; Circuit stability; Conductors; Coupling circuits; Current density; Eddy currents; Finite element methods; Maxwell equations; Solids; Stability analysis; Wire;
Journal_Title :
Magnetics, IEEE Transactions on
