A Comparative Analysis of Numerical Inverse Laplace Transform Methods for Electromagnetic Transient Analysis

被引:2
作者
Loreto, Fabrizio [1 ]
Romano, Daniele [1 ]
Pettanice, Giuseppe [2 ]
Antonini, Giulio [1 ]
机构
[1] Univ Aquila, Dept Ind & Informat Engn & Econ, UAq EMC Lab, I-67100 Laquila, Italy
[2] Univ Aquila, Dept Informat Engn Comp Sci & Math, I-67100 Laquila, Italy
关键词
Laplace equations; Mathematical models; Kernel; Computational modeling; Numerical models; Integrated circuit modeling; Transient analysis; Electromagnetic transient analysis; numerical inverse Laplace transform (LT); TRANSMISSION-LINE; ALGORITHM; FDTD;
D O I
10.1109/TMTT.2023.3275638
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
Nowadays, transient analysis of electromagnetic systems is widely adopted as a virtual prototyping tool in the design of electrical and electronic devices. Time domain (TD) methods for the solutions of Maxwell's equations represent the most obvious approach to tackling this type of problem. Frequency domain (FD) analysis techniques are also commonly used to return the TD response through the inverse Fourier transform. This approach suffers from the need to compute the frequency response over a wide frequency range that has to be finely sampled to avoid aberrations in the inverse transform. A valuable alternative is represented by the numerical inversion of the Laplace transform (NILT) that conjugates the capability to return the TD responses with the possibility to adopt complex frequency models that are free of most of the issues of TD techniques. The aim of this work is to perform a comparative analysis of two of the most popular methods for the computation of the numerical inverse Laplace transform, known as the NILT, and fast inversion of the Laplace transform (FILT), clarifying the issues and limitations behind these methods and pointing out possible solutions.
引用
收藏
页码:4713 / 4724
页数:12
相关论文
共 48 条
[1]  
[Anonymous], 2017, Circuit Oriented Electromagnetic Modeling Using the Peec Techniques, DOI DOI 10.1002/9781119078388
[2]  
Araneo R., 2022, MODIFIED NODAL ANAL
[3]  
Baker G. A., 1995, Encyclopedia of Mathematics
[4]  
Balanis C A., 2005, Antenna Theory: Analysis and Design
[5]   Fast and Stable Transient Simulation of Nonlinear Circuits Using the Numerical Inversion of the Laplace Transform [J].
Bandali, Bardia ;
Gad, Emad ;
Nakhla, Michel .
IEEE TRANSACTIONS ON COMPONENTS PACKAGING AND MANUFACTURING TECHNOLOGY, 2022, 12 (07) :1171-1185
[6]   Novel FDTD Scheme for Analysis of Frequency-Dependent Medium Using Fast Inverse Laplace Transform and Prony's Method [J].
Chakarothai, Jerdvisanop .
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2019, 67 (09) :6076-6089
[7]  
Cheng A.H.-D., 1994, MATH J, V4, P76
[8]  
Chua L., 1987, Linear and Nonlinear Circuits
[9]   NUMERICAL INVERSION OF THE LAPLACE TRANSFORM - SURVEY AND COMPARISON OF METHODS [J].
DAVIES, B ;
MARTIN, B .
JOURNAL OF COMPUTATIONAL PHYSICS, 1979, 33 (01) :1-32
[10]   TIME-DOMAIN RESPONSE OF MULTICONDUCTOR TRANSMISSION-LINES [J].
DJORDJEVIC, AR ;
SARKAR, TK ;
HARRINGTON, RF .
PROCEEDINGS OF THE IEEE, 1987, 75 (06) :743-764