Embedded Runge-Kutta methods for field-circuit coupled problems with switching elements

IEEE Transactions on Magnetics

Volumn 41, Issue 5, 2005, Pages 1612-1615

  Benderskaya, Galina ^a   Clemens, Markus ^b   De Gersem, Herbert ^a   Weiland, Thomas ^a  

^a DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

^b HELMUT SCHMIDT UNIVERSITY   (Germany)

Author keywords

Circuit analysis; Coupled problems; Finite integration technique (FIT); Switching systems; Time integration

Indexed keywords

COUPLED CIRCUITS; ELECTRIC NETWORK ANALYSIS; INSULATED GATE BIPOLAR TRANSISTORS; MAGNETIC FIELDS; MAXWELL EQUATIONS; POLYNOMIALS; RUNGE KUTTA METHODS; SWITCHING SYSTEMS; VECTORS;

COUPLED PROBLEMS; FINITE INTEGRATION TECHNIQUE (FIT); MAGNETIC VECTOR POTENTIAL; TIME INTEGRATION;

SWITCHING CIRCUITS;

EID: 22044435996     PISSN: 00189464     EISSN: None     Source Type: Journal    
DOI: 10.1109/TMAG.2005.845018     Document Type: Article

References (13)

1. H. De Gersem, R. Mertens, U. Pahner, R. Belmans, and K. Hameyer, "A topological method used for field-circuit coupling," IEEE. Trans. Magn., vol. 34, no. 5, pp. 3190-3193, Sep. 1998.
2. 2TD algorithms for transient eddy current problems," Proc. COMPEL, vol. 20, no. 2, pp. 365-379, 2001.
3. G. Benderskaya, H. De Gersem, M. Clemens, and T. Weiland, "Transient field-circuit coupled formulation based on the FI-technique and a mixed circuit formulation," in Proc. 6th Int. Symp. Electric and Magnetic Fields (EMF2003), Aachen, Germany, Oct. 2003, pp. 369-372.
4. G. Bedrosian, "A new method for coupling finite element field solution with external circuits and kinematics," IEEE. Trans. Magn., vol. 29, no. 2. pp. 1664-1668, Mar. 1993.
5. I. Tsukerman, A. Konrad, and J. Lavers, "A method for circuit connections in time-dependent eddy current problems," IEEE. Trans. Magn., vol. 28, no. 2, pp. 1299-1302, Mar. 1992.
6. T. L. Quarles, "SPICE3 Version 3CI Users Guide," Univ. California, Berkeley, Memo UCB/ERL M89/46, 1989.
7. P. Dular and P. Kuo-Peng, "An efficient and robust time discretization procedure for finite element-electronic circuit equation coupling," Proc. COMPEL, vol. 21, no. 2, pp. 274-285, 2002.
8. D. Bedrosian and J. Vlach, "Time-domain analysis of networks with internally controlled switches," IEEE. Trans. Circuits Syst., vol. 39, no. 3. pp. 199-212, Mar. 1992.
9. H. De Gersem and T. Weiland, "Field-circuit coupling for time-harmonic models discretized by the finite integration technique," IEEE. Trans. Magn., vol. 40, no. 2, pp. 1334-1337, Mar. 2004.
10. F. Cameron, "Low-order Runge-Kutta methods for differential- algebraic equations," Ph.D. dissertation, Tampere Univ. Technology, Tampere, Finland, 1999.
11. 2TD schemes with variable time-step selection," IEEE Trans. Magn., vol. 38, no. 2, pp. 605-608, Mar. 2002.
12. K. Gustafsson, "Control-theoretic techniques for stepsize selection in implicit Runge-Kutta methods," ACM Trans. Math. Softw., vol. 20, no. 4. pp. 496-517, Dec. 1994.
13. J. Lang, "Two-dimensional fully-adaptive solutions of reaction-diffusion equations," Appl. Numer. Math., vol. 18, pp. 223-240, Sep. 1995.