Electromagnetic Scattering and Analysis
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Abstract
Abstract
The computational speed of electromagnetic transient programs (EMTP) is severely limited by both the curse of dimensionality and the ill-conditioned system matrix, which collectively degrade solver performance. However, existing research on EMTP acceleration has largely overlooked the issue of ill-conditioning. This letter presents a first systematic, EMT-oriented investigation of the ill-conditioning of the EMTP admittance matrix by establishing a link between its physical origins and mathematical pathologies, thereby revealing the underlying mechanism by which network topology induces ill-conditioning. Building upon these structural insights, a preconditioner-based strategy is developed that significantly accelerates computation while preserving numerical accuracy. Simulation results demonstrate the outstanding efficiency and robustness of the proposed approach.
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@article{Lou2026Preconditioner,
title = {Preconditioner-Based Acceleration Method for Solving EMTP Linear Equations},
author = {Qi Lou and Yijun Xu and Yang Cao and Wei Gu and F Zhang},
journal = {arXiv (Cornell University)},
year = {2026},
doi = {10.48550/arxiv.2607.08442},
url = {https://doi.org/10.48550/arxiv.2607.08442}
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