To improve the computational efficiency of electromagnetic transient (EMT) simulation, the shifted frequency (SF)-based EMT (SFEMT) simulation is proposed in the literature, and large time-step size can be adopted in the SFEMT simulation. In the existing SFEMT simulation, the trapezoidal (TR) method is used for numerical integration. Sustained oscillations will appear in the simulation due to the use of the TR method. To overcome this problem, this paper applies the three-stage singly diagonally implicit Runge–Kutta (3S-SDIRK) method to the numerical integration of SFEMT simulation. First, the SFEMT modeling is briefly reviewed, and the 3S-SDIRK method is introduced. Then, the numerical integration of SFEMT simulation using 3S-SDIRK is elaborated detailedly, and the merits of the 3S-SDIRK-based simulation are analyzed by comparing with the TR, 2S-DIRK and TR-BDF2-based simulations. Numerical results show that the SFEMT simulation using 3S-SDIRK for integration is free from numerical oscillation and is accurate and efficient.

为了提高电磁瞬态（EMT）仿真的计算效率，文献中提出了基于频移（SF）的EMT（SFEMT）仿真，并且在SFEMT仿真中可以采用较大的时间步长。在现有的SFEMT仿真中，梯形（TR）方法用于数值积分。由于使用TR方法，模拟中将出现持续的振荡。为了克服这个问题，本文将三阶段单对角隐式Runge-Kutta（3S-SDIRK）方法应用于SFEMT仿真的数值积分。首先，简要回顾了SFEMT建模，并介绍了3S-SDIRK方法。然后，详细阐述了使用3S-SDIRK进行SFEMT仿真的数值积分，并与TR进行了比较，分析了基于3S-SDIRK的仿真的优缺点，基于2S-DIRK和TR-BDF2的仿真。数值结果表明，采用3S-SDIRK进行积分的SFEMT仿真不受数值振荡的影响，且准确有效。