Study of a numerical integration method using the compact scheme for electromagnetic transient simulations

被引：2

作者：

Tanaka, Yohei ^{[1
]}

Baba, Yoshihiro ^{[2
]}

机构：

[1] Cent Res Inst Elect Power Ind, Grid & Commun Technol Div, Grid Innovat Res Lab, Kanagawa 2400196, Japan

[2] Doshisha Univ, Grad Sch Sci & Engn, Kyotanabe, Kyoto 6100394, Japan

来源：

ELECTRIC POWER SYSTEMS RESEARCH | 2023年 / 223卷

关键词：

Circuit equation; Compact scheme; Electromagnetic Transient analysis; Integration method; SPARSE Tableau approach; Stability; ACCURACY;

D O I：

10.1016/j.epsr.2023.109666

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

This paper proposes a one-stage and oscillation free numerical integration method using the compact scheme for electromagnetic transient simulations. Since the compact scheme becomes L-stable at a moment when a circuit suddenly changes to a stiff system, the method is capable of suppressing the spurious numerical oscillations. Moreover, the compact scheme, which is a one-stage method, does not produce spurious spikes due to nonlinear elements. The compact scheme is compared with the trapezoidal method, the two-stage diagonally implicit Runge-Kutta (2S-DIRK) and the trapezoidal method with the second order backward difference formula (TR-BDF2). It follows from the comparison that the compact scheme does not produce the spurious numerical os-cillations and spikes.

引用

页数：8

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