Study of a Numerical Integral Interpolation Method for Electromagnetic Transient Simulations

Kaiyuan Sun, Kun Chen, Haifeng Cen, Fucheng Tan and Xiaohui Ye ()
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Kaiyuan Sun: Guangzhou Power Supply Bureau, Guangdong Power Grid Co., Ltd., Guangzhou 510510, China
Kun Chen: Guangzhou Power Supply Bureau, Guangdong Power Grid Co., Ltd., Guangzhou 510510, China
Haifeng Cen: Guangzhou Power Supply Bureau, Guangdong Power Grid Co., Ltd., Guangzhou 510510, China
Fucheng Tan: School of Electrical Engineering, Yanshan University, Qinhuangdao 066004, China
Xiaohui Ye: School of Electrical Engineering, Yanshan University, Qinhuangdao 066004, China

Energies, 2024, vol. 17, issue 15, 1-19

Abstract: In the fixed time-step electromagnetic transient (EMT)-type program, an interpolation process is applied to deal with switching events. The interpolation method frequently reduces the algorithm’s accuracy when dealing with power electronics. In this study, we use the Butcher tableau to analyze the defects of linear interpolation. Then, based on the theories of Runge–Kutta integration, we propose two three-stage diagonally implicit Runge–Kutta (3S-DIRK) algorithms combined with the trapezoidal rule (TR) and backward Euler (BE), respectively, with TR-3S-DIRK and BE2-3S-DIRK for the interpolation and synchronization processes. The proposed numerical integral interpolation scheme has second-order accuracy and does not produce spurious oscillations due to the size change in the time step. The proposed method is compared with the critical damping adjustment method (CDA) and the trapezoidal method, showing that it does not produce spurious numerical oscillations or first-order errors.

Keywords: algorithm accuracy; Butcher tableau; electromagnetic transient simulations; interpolation method; Runge–Kutta integration (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2024
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