Preconditioner-Based Acceleration Method for Solving EMTP Linear Equations
For researchers and engineers using electromagnetic transient simulations, this work addresses a practical performance bottleneck caused by ill-conditioned matrices.
The paper identifies ill-conditioning as a key bottleneck in EMTP solvers, which has been overlooked. It proposes a preconditioner-based acceleration method that improves computational speed while maintaining accuracy.
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.