An Unconditionally Stable 2-D Stochastic WLP-FDTD Method for Geometric Uncertainty in Superconducting Transmission Lines

被引：6

作者：

Li, Yan ^{[1
]}

Li, Xiao-Chun ^{[1
]}

Yang, Yifan ^{[1
]}

Mao, Jun-Fa ^{[1
]}

机构：

[1] Shanghai Jiao Tong Univ, Key Lab Minist Educ Design & Electromagnet Compat, Shanghai 200240, Peoples R China

来源：

IEEE TRANSACTIONS ON APPLIED SUPERCONDUCTIVITY | 2022年 / 32卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Superconducting transmission lines; Uncertainty; Finite difference methods; Current density; Mathematical models; Time-domain analysis; Monte Carlo methods; Stochastic finite-difference time-domain (S-FDTD); superconducting transmission lines; weighted Laguerre polynomials (WLPs);

D O I：

10.1109/TASC.2021.3135010

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：

In this article, a compact unconditionally stable two-dimensional (2-D) stochastic weighted Laguerre polynomial finite-difference time-domain (S-WLP-FDTD) method for geometric uncertainty in superconducting transmission lines is proposed. It calculates both the Maxwell equations and the London equations and uses a weighted Laguerre polynomial (WLP) scheme to eliminate the stability constraint. The mean and the standard deviation of electromagnetic fields, voltages, and currents are calculated. Compared with the Monte Carlo method and 2-D S-FDTD method, the proposed method has the same accuracy but much higher efficiency. The runtime of the proposed S-WLP-FDTD method is only 2.4% of that of the S-FDTD method. Thus, the proposed method is suitable for predicting the influence of geometric uncertainty on superconducting transmission lines.

引用

页数：9

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