DocumentCode :
1429875
Title :
Variable step size time integration methods for transient eddy current problems
Author :
Cameron, Frank ; Piche, Robert ; Forsman, Kimmo
Author_Institution :
Tampere Univ. of Technol., Finland
Volume :
34
Issue :
5
fYear :
1998
fDate :
9/1/1998 12:00:00 AM
Firstpage :
3319
Lastpage :
3322
Abstract :
For transient eddy current problems modelled as differential-algebraic equations (DAEs), a time integration method suitable for ordinary differential equations (ODEs) will not necessarily work. We present two Runge-Kutta methods that are suitable for the time integration of the classes of DAEs to which eddy current problems belong. Both methods have error estimators and hence allow variable step sizes. In tests our variable step size integrators were competitive with fixed step size integrators, in particular with Crank-Nicolson
Keywords :
Runge-Kutta methods; eddy currents; integration; integro-differential equations; transient analysis; EM transient analysis; Runge-Kutta methods; differential-algebraic equations; error estimators; time integration method; transient eddy current problems; variable step size; Design methodology; Differential equations; Eddy currents; Integrodifferential equations; Magnetic fields; Magnetic flux density; Nonlinear equations; Permeability; Testing; Transient analysis;
fLanguage :
English
Journal_Title :
Magnetics, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9464
Type :
jour
DOI :
10.1109/20.717780
Filename :
717780
Link To Document :
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