Summary
Finite Integration Implicit Time Domain (FI2TD) methods are designed for the calculation of transient magnetic fields and are based on the Finite Integration Technique. To improve the geometric modeling capabilities of these methods while maintaining computationally efficient structured orthogonal grids, the Conformal Finite Integration Technique was introduced. A magnetic field formulation based on a reduced magnetic vector potential formulation also allows an improved geometrical modeling of excitation coils while at the same time reducing the computational work for FI2TD simulation s at typically low accuracy requirements. A new generalized linearization formulation is presented for the simulation of nonlinear ferromagnetic material behavior, which includes the standard linearization schemes as special cases and enables us to derive hybrid nonlinear iteration schemes.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bíro, O., Preis, K. (1990): Finite element analysis of 3D eddy currents. IEEE Trans. Magnetics 26, 418–423
Bíro, O., Preis, K., Richter, K.R. (1995): Various FEM formulations for the calculation of transient 3D eddy currents in nonlinear media. IEEE Trans. Magnetics 31, 1307–1312
Clemens, M., Weiland, T. (1999): Transient eddy current calculation with the FI-method. IEEE Trans. Magnetics 35, 1163–1166
Clemens, M., Weiland, T. (2002): Magnetic field simulation using Conformal FIT formulations. IEEE Trans. Magnetics 38, 389–392
Clemens, M., Hilgner, M., Schuhmann, R., Weiland, T. (2000): Transient eddy current simulation using the nonorthogonal FIT. In: Conference Record of the Ninth Biennial IEEE Conference on Electromagnetic Field Computation. IEEE Magnetics Society, IEEE, Piscataway, NJ, p. 389
Drobny, S., Weiland, T. (2000): Numerical calculation of nonlinear transient field problems with the Newton-Raphson method. IEEE Trans. Magnetics 36, 809–812
Emson, C.R.I. (1990): Summary of results for hollow conducting sphere in uniform transiently varying magnetic field (problem 11). COMPAL 9, 191–203
Krietenstein, B., Thoma, P., Schuhmann, R., Weiland, T. (1998): The perfect boundary approximation technique facing the big challenge of high precision field computation. In: Eyberger, C.E. et al. (eds.):Proceedings of the XIX International LINAC Conference. Argonne National Laboratory, Argonne, IL, pp. 860–862
Monk, P., Süli, E. (1994): A convergence analysis of Yee’s scheme on nonuniform grids. SIAM J. Numer. Anal. 31, 393–412
Müller, W, Krüger, J., Jacobus, A., Winz, R., Weiland, T., Euler, H., Kamm, U., Novender, W.R. (1982): Numerical solution of 2-and 3-dimensional nonlinear field problems by means of the computer program PROFI. Archiv Elektrotechnik 65, 299–307
Munteanu, I., Drobny, S., Weiland, T., Ioan, D. (2001): Triangle search method for nonlinear electromagnetic field computation. COMPAL, 20, 417–430
Niikura, S., Kameari, A. (1992): Analysis of eddy current and force in conductors with motion. IEEE Trans. Magnetics 28, 1450–1453
Ruge, J., Stueben, K. (1986): Algebraic multigrid AMG. Arbeitspapiere no. 210. Gesellschaft für Mathematik und Datenverarbeitung, Sankt Augustin
Schwab, A.J. (1998): Begriffswelt der Feldtheorie. 5. Aufl. Springer, Berlin
Thoma, P., Weiland, T. (1996): A consistent subgridding scheme for the finite difference time_domain method. Internat. J. Numer. Modelling 9, 359–374
Weiland, T. (1977): A discretization method for the solution of Maxwell’s equations for six-component fields. Arch. Elektronik Übertragungstech. 31, 116–120
Weiland, T. (1979): Lossy waveguides with arbitrary boundary contour and distribution of material. Arch. Elektronik Übertragungstcch. 33, 170–174
Weiland, T. (1996): Time domain electromagnetic field computation with finite difference methods. Internat. J. Numer. Modelling 9, 295–319
Yu, W., Miura, R. (2001): A conformal finite difference time domain technique for modeling curved dielectric surfaces. IEEE Microwave Wireless Components Lett. 11, 25–27
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2003 Springer-Verlag Italia
About this paper
Cite this paper
Clemens, M., Weiland, T. (2003). FI2TD schemes for magnetic field simulations: new formulations and algorithmic improvements. In: Brezzi, F., Buffa, A., Corsaro, S., Murli, A. (eds) Numerical Mathematics and Advanced Applications. Springer, Milano. https://doi.org/10.1007/978-88-470-2089-4_23
Download citation
DOI: https://doi.org/10.1007/978-88-470-2089-4_23
Publisher Name: Springer, Milano
Print ISBN: 978-88-470-2167-9
Online ISBN: 978-88-470-2089-4
eBook Packages: Springer Book Archive