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GPU Parallel-Rate Exponential Integrator Algorithm for Efficient Simulation of Power Electronic Systems

delete2026-01-30
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OA
AI
J
Jared Paull
W
Walid Hatahet
L
Liwei Wang
W
Wei Li
DOI:10.1109/OAJPE.2026.3659790delete
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Abstract

Abstract

En 中文
Electromagnetic transient (EMT) simulation of power electronic converters is critical for analysis, design, and fast control prototyping of power and energy systems. This paper proposes a multi-granular GPU parallel-rate exponential integrator (EI) algorithm for fast offline EMT simulation of power electronic systems. The proposed parallel-rate EI algorithm utilizes the massively parallel GPU architecture to compute multiple discretization steps in parallel. The matrix-vector computations of the EI algorithm within each time step are also parallelized. Additionally, a novel GPU-based framework is proposed for numerically efficient precomputation of matrix exponentials before a simulation loop starts. The high degree of parallelism leads to large simulation speedups compared to single-thread CPU implementations. The discretization technique of high-order EI algorithm is absolutely stable with no numerical ringing and can achieve accurate differential equation discretization with large time-step sizes. The proposed parallel-rate EI solver is further applied to detect passive/diode switching events accurately. Two case studies are used to demonstrate the accuracy and efficiency of the parallel-rate EI algorithm. Two additional case studies showcase the benefit of the proposed parallel precomputation technique for matrix exponentials.
Keywords:
Electromagnetic transients (EMT)
exponential integrator (EI)
graphics processing unit (GPU)
multi-granular parallel simulation
phi-function precomputation
power electronic converter simulation

Journal

I
IEEE Open Access Journal of Power and Energy
IF:
3.2
Papers:
391
Citations:
826

Organization

O
opal-rt technologies
Scholars:
3
Papers: 4
Citations: 0
U
university of british columbia
Scholars:
2.8K
Papers: 1.3K
Citations: 1
Cited Papers

Cited Papers

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Expokit
err1998-03-01
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errOAAI
errRoger B. Sidje
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