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 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.