Fast EM/Circuit Transient Simulation Using Laguerre Equivalent Circuit (SLeEC)

Transient electromagnetic (EM)/circuit simulation using Laguerre polynomials is an unconditionally stable scheme. Prior work done on this topic, called Laguerre finite-difference time domain (FDTD), has the limitation of being able to simulate only for a certain time duration. An equivalent circuit...

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Bibliographic Details
Published in:IEEE transactions on electromagnetic compatibility 2009-08, Vol.51 (3), p.756-762
Main Authors: Srinivasan, K., Yadav, P., Engin, A.E., Swaminathan, M., Myunghyun Ha
Format: Article
Language:English
Subjects:
Applied sciences
Capacitors
Circuits
Computer simulation
Electric, optical and optoelectronic circuits
Electrical engineering. Electrical power engineering
Electromagnetic compatibility
Electronics
Equivalent circuits
Exact sciences and technology
Finite difference method
Finite difference methods
Finite difference time domain method
Finite-difference time domain (FDTD)
Inductors
Integrated circuit modeling
Integrated circuits
Integrated circuits by function (including memories and processors)
Laguerre polynomials
Magnetic devices
Mathematical analysis
Mathematical model
Mathematical models
modified nodal analysis
Semiconductor electronics. Microelectronics. Optoelectronics. Solid state devices
Theoretical study. Circuits analysis and design
Time domain analysis
Transformers and inductors
Transient analysis
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Summary:Transient electromagnetic (EM)/circuit simulation using Laguerre polynomials is an unconditionally stable scheme. Prior work done on this topic, called Laguerre finite-difference time domain (FDTD), has the limitation of being able to simulate only for a certain time duration. An equivalent circuit model of the FDTD grid allows easier implementation of the algorithm, avoiding long cumbersome equations, and enabling the use of modified nodal analysis for transient EM simulation using Laguerre polynomials. The enhanced method has been called SLeEC, and stands for simulation using Laguerre equivalent circuit. In this paper, a memory and time-efficient solution has been proposed to overcome this limitation, so that transient simulation can be done for all time duration. SLeEC has been applied to solve linear transient circuit simulation problems. Equivalent companion models for inductors, mutual inductance, and capacitors have been derived.
ISSN:0018-9375
1558-187X
DOI:10.1109/TEMC.2009.2024158