학술논문

Modified Numerical Inversion of Laplace Transform Methods for the Time-Domain Analysis of Retarded Partial Elements Equivalent Circuit Models
Document Type
Periodical
Source
IEEE Transactions on Electromagnetic Compatibility IEEE Trans. Electromagn. Compat. Electromagnetic Compatibility, IEEE Transactions on. 64(6):2179-2188 Dec, 2022
Subject
Fields, Waves and Electromagnetics
Engineered Materials, Dielectrics and Plasmas
Equivalent circuits
Integrated circuit modeling
Numerical stability
Circuit stability
Surface impedance
Computational modeling
Stability criteria
Numerical inversion of Laplace transform (NILT)
partial element equivalent circuit (PEEC) method
transient analysis
Language
ISSN
0018-9375
1558-187X
Abstract
This article presents a new method for the simulation of the retarded partial element equivalent circuit (PEEC), which is used to model the EM phenomena at the circuit level. The new method adapts a recently introduced approach for numerical inversion of the Laplace transform (NILT). The conventional NILT approach is equivalent to a high-order stable differential equation solver. Its application in the context of PEEC circuits eliminated late-time instability issues. However, the recent development in NILT (known as NILT n ) further reduced the approximation error by several orders of magnitude for roughly the same computational cost as in the conventional NILT, thereby permitting a significant increase in the length of the time step with lower computational cost. The approach proposed in this article further develops the ideas in NILT n so that it can be applied to the simulation of PEEC circuits in the time-domain. The new approach, therefore, combines the desirable late-time stability of NILT with a reduced computational cost. Furthermore, this article also utilizes an interpolation approach to reproduce the desired circuit waveforms between the points evaluated by NILT n .