Enhanced Time-stepping FEM Simulation using Digital Signal Processing

The purpose of this paper is to present a novel approach in time-domain simulations based on the time-stepping finite element method (FEM). The method uses a single time-stepping FEM simulation to determine the unit step response of the system. On the basis of this response, a digital filter with transfer function equal to that of the target system is designed. This allows excitation to be varied without need for the field analysis to be performed again. Such an approach can give substantial speed-up in electromagnetic or structural simulation. The proposed approach was validated in the simulation of a pulsed eddy-current inspection system and in the simulation of the eddy currents induced in the shield of a busbar system.

[1]  Piet M. T. Broersen,et al.  Finite sample criteria for autoregressive order selection , 2000, IEEE Trans. Signal Process..

[2]  H. Fukutomi,et al.  Remote field eddy current technique applied to non-magnetic steam generator tubes , 2001 .

[3]  Ener Salinas.  Conductive and ferromagnetic screening of 50 Hz magnetic fields from a three-phase system of busbars , 2001 .

[4]  Dimitris P. Labridis,et al.  Finite element computation of field, losses and forces in a three-phase gas cable with nonsymmetrical conductor arrangement , 1988 .

[5]  Y. Selen,et al.  Model-order selection: a review of information criterion rules , 2004, IEEE Signal Processing Magazine.

[6]  Petre Stoica,et al.  An indirect prediction error method for system identification , 1991, Autom..

[7]  Z. Csendes,et al.  A One-Step Finite Element Method for Multiconductor Skin Effect Problems , 1982, IEEE Transactions on Power Apparatus and Systems.

[8]  Petar M. Djuric,et al.  Asymptotic MAP criteria for model selection , 1998, IEEE Trans. Signal Process..

[9]  John Nordgard,et al.  Lightning-Induced Transients on Buried Shielded Transmission Lines , 1979, IEEE Transactions on Electromagnetic Compatibility.

[10]  R. Ludwig,et al.  Numerical and analytical modeling of pulsed eddy currents in a conducting half-space , 1990 .

[11]  J. Z. Zhu,et al.  The finite element method , 1977 .

[12]  Piet M. T. Broersen,et al.  Order selection for vector autoregressive models , 2003, IEEE Trans. Signal Process..

[13]  Vedran Bilas,et al.  Pulsed eddy-current nondestructive testing of ferromagnetic tubes , 2004, IEEE Transactions on Instrumentation and Measurement.

[14]  Vedran Bilas,et al.  A system identification approach to the modelling of pulsed eddy-current systems , 2005 .

[15]  Alan V. Oppenheim,et al.  Digital Signal Processing , 1978, IEEE Transactions on Systems, Man, and Cybernetics.

[16]  Igor Tsukerman,et al.  A survey of numerical methods for transient eddy current problems , 1993 .

[17]  Gui Yun Tian,et al.  Study of magnetic sensors for pulsed eddy current techniques , 2004 .

[18]  Lennart Ljung,et al.  L2 Model reduction and variance reduction , 2000, Autom..

[19]  Y. Selén,et al.  An Approach to Sparse Model Selection and Averaging , 2006, 2006 IEEE Instrumentation and Measurement Technology Conference Proceedings.

[20]  Dimitrios Lampridis,et al.  Electromagnetic forces in three phase rigid busbars with rectangular cross sections , 1995 .

[21]  P. P. Silvester,et al.  Computer-aided design in magnetics , 1985 .

[22]  Lennart Ljung,et al.  System Identification: Theory for the User , 1987 .

[23]  N. Ida,et al.  Finite element modeling of pulse Eddy current NDT phenomena , 1985 .

[24]  Anthony J. Jakeman,et al.  An instrumental variable method for model order identification , 1980, Autom..

[25]  Y. S. Sun,et al.  A finite element study of the remote field eddy current phenomenon , 1988 .

[26]  K. Preis.  A contribution to eddy current calculations in plane and axisymmetric multiconductor systems , 1983 .