A weak form electromagnetic transient simulation approach for cole-cole medium

Xuan Wu; Qiang Ren

doi:10.1109/ACES53325.2021.00030

A weak form electromagnetic transient simulation approach for cole-cole medium

Xuan Wu
, Qiang Ren

School of Electronic and Information Engineering

Beihang University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

Although the finite-difference time-domain (FDTD) method is usually used to simulate the Cole-Cole model, its relatively high requirements on the grid size and time step interval limit its application in the calculation of electrically large target. Therefore, a weak form electromagnetic transient simulation method for Cole-Cole model is proposed, which is based on the discontinuous Galerkin spectral element time-domain (DG-SETD) method. However, the implementation of the Cole-Cole model using the time-domain method is difficult because of the fractional order differentiators. The z-transform (ZT) method and second order Taylor series are used to solve this difficulty in this paper. The effectiveness of this method is shown by a numerical example.

Original language	English
Title of host publication	2021 International Applied Computational Electromagnetics Society Symposium, ACES 2021
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9781733509626
DOIs	https://doi.org/10.1109/ACES53325.2021.00030
State	Published - 1 Aug 2021
Event	2021 International Applied Computational Electromagnetics Society Symposium, ACES 2021 - Virtual, Hamilton, Canada Duration: 1 Aug 2021 → 5 Aug 2021

Publication series

Name	2021 International Applied Computational Electromagnetics Society Symposium, ACES 2021

Conference

Conference	2021 International Applied Computational Electromagnetics Society Symposium, ACES 2021
Country/Territory	Canada
City	Virtual, Hamilton
Period	1/08/21 → 5/08/21

Keywords

Cole-Cole model
Discontinuous Galerkin spectral element time-domain (DG-SETD) method
Z-transform (ZT)

Access to Document

10.1109/ACES53325.2021.00030

Cite this

Wu, X., & Ren, Q. (2021). A weak form electromagnetic transient simulation approach for cole-cole medium. In 2021 International Applied Computational Electromagnetics Society Symposium, ACES 2021 (2021 International Applied Computational Electromagnetics Society Symposium, ACES 2021). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ACES53325.2021.00030

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title = "A weak form electromagnetic transient simulation approach for cole-cole medium",

abstract = "Although the finite-difference time-domain (FDTD) method is usually used to simulate the Cole-Cole model, its relatively high requirements on the grid size and time step interval limit its application in the calculation of electrically large target. Therefore, a weak form electromagnetic transient simulation method for Cole-Cole model is proposed, which is based on the discontinuous Galerkin spectral element time-domain (DG-SETD) method. However, the implementation of the Cole-Cole model using the time-domain method is difficult because of the fractional order differentiators. The z-transform (ZT) method and second order Taylor series are used to solve this difficulty in this paper. The effectiveness of this method is shown by a numerical example.",

keywords = "Cole-Cole model, Discontinuous Galerkin spectral element time-domain (DG-SETD) method, Z-transform (ZT)",

author = "Xuan Wu and Qiang Ren",

note = "Publisher Copyright: {\textcopyright} 2021 Applied Computational Electromagnetics Society.; 2021 International Applied Computational Electromagnetics Society Symposium, ACES 2021 ; Conference date: 01-08-2021 Through 05-08-2021",

year = "2021",

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doi = "10.1109/ACES53325.2021.00030",

language = "英语",

series = "2021 International Applied Computational Electromagnetics Society Symposium, ACES 2021",

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Wu, X & Ren, Q 2021, A weak form electromagnetic transient simulation approach for cole-cole medium. in 2021 International Applied Computational Electromagnetics Society Symposium, ACES 2021. 2021 International Applied Computational Electromagnetics Society Symposium, ACES 2021, Institute of Electrical and Electronics Engineers Inc., 2021 International Applied Computational Electromagnetics Society Symposium, ACES 2021, Virtual, Hamilton, Canada, 1/08/21. https://doi.org/10.1109/ACES53325.2021.00030

A weak form electromagnetic transient simulation approach for cole-cole medium. / Wu, Xuan; Ren, Qiang.
2021 International Applied Computational Electromagnetics Society Symposium, ACES 2021. Institute of Electrical and Electronics Engineers Inc., 2021. (2021 International Applied Computational Electromagnetics Society Symposium, ACES 2021).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - A weak form electromagnetic transient simulation approach for cole-cole medium

AU - Wu, Xuan

AU - Ren, Qiang

PY - 2021/8/1

Y1 - 2021/8/1

N2 - Although the finite-difference time-domain (FDTD) method is usually used to simulate the Cole-Cole model, its relatively high requirements on the grid size and time step interval limit its application in the calculation of electrically large target. Therefore, a weak form electromagnetic transient simulation method for Cole-Cole model is proposed, which is based on the discontinuous Galerkin spectral element time-domain (DG-SETD) method. However, the implementation of the Cole-Cole model using the time-domain method is difficult because of the fractional order differentiators. The z-transform (ZT) method and second order Taylor series are used to solve this difficulty in this paper. The effectiveness of this method is shown by a numerical example.

AB - Although the finite-difference time-domain (FDTD) method is usually used to simulate the Cole-Cole model, its relatively high requirements on the grid size and time step interval limit its application in the calculation of electrically large target. Therefore, a weak form electromagnetic transient simulation method for Cole-Cole model is proposed, which is based on the discontinuous Galerkin spectral element time-domain (DG-SETD) method. However, the implementation of the Cole-Cole model using the time-domain method is difficult because of the fractional order differentiators. The z-transform (ZT) method and second order Taylor series are used to solve this difficulty in this paper. The effectiveness of this method is shown by a numerical example.

KW - Cole-Cole model

KW - Discontinuous Galerkin spectral element time-domain (DG-SETD) method

KW - Z-transform (ZT)

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U2 - 10.1109/ACES53325.2021.00030

DO - 10.1109/ACES53325.2021.00030

M3 - 会议稿件

AN - SCOPUS:85115976401

T3 - 2021 International Applied Computational Electromagnetics Society Symposium, ACES 2021

BT - 2021 International Applied Computational Electromagnetics Society Symposium, ACES 2021

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2021 International Applied Computational Electromagnetics Society Symposium, ACES 2021

Y2 - 1 August 2021 through 5 August 2021

ER -

A weak form electromagnetic transient simulation approach for cole-cole medium

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Keywords

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