Abstract
Sophisticated structures in the transmission line system introduce the nonuniformity and nonlinearity, which brings the challenge for its characterization and modeling. In this work, a novel data-driven method is proposed to derive the governing partial differential equations of the transmission line. Based on the polynomial interpolation of the spatial-temporal samples of current and voltage, the time and spatial derivatives can be obtained. Then, the ridge regression algorithm is adopted to determine the active spatial differential terms from the candidate functions. Three benchmarks, the uniform and nonuniform transmission line, and a soliton generation system, are provided to demonstrate the validity of the newly proposed approach.
Recommended Citation
Y. Zhang and L. Jiang, "Data-driven Discovery Of The Governing Equation For The Transmission Lines System," 2021 Joint IEEE International Symposium on Electromagnetic Compatibility Signal and Power Integrity, and EMC Europe, EMC/SI/PI/EMC Europe 2021, pp. 1105 - 1109, Institute of Electrical and Electronics Engineers, Jul 2021.
The definitive version is available at https://doi.org/10.1109/EMC/SI/PI/EMCEurope52599.2021.9559148
Department(s)
Electrical and Computer Engineering
Keywords and Phrases
finite difference time domain (FDTD) method; partial differential equation (PDE) identification; regression algorithm; Transmission line
International Standard Book Number (ISBN)
978-166544888-8
Document Type
Article - Conference proceedings
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2024 Institute of Electrical and Electronics Engineers, All rights reserved.
Publication Date
26 Jul 2021
