Shifted-frequency based electromagnetic transient simulation for power system dynamics using two-stage singly diagonally implicit Runge–Kutta method

Electromagnetic transient (EMT) simulation is of great significance for the design, operation and control of power systems. To improve the efficiency of EMT simulation, the shifted-frequency (SF)-based EMT simulation was proposed in the literature. The trapezoidal (TR) method was widely used for the numerical integration of the SF-based EMT simulation. However, the TR method may result in sustained numerical oscillations for a sudden change of a variable. To resolve this problem, this paper uses the two-stage singly diagonally implicit Runge–Kutta (2S-SDIRK) method for the numerical integration of SF-based EMT simulation. First, the SF-based modeling of power system dynamics is given. Then, the numerical integration of the SF-based EMT model by the 2S-SDIRK method is elaborated. Test results show the effectiveness of the proposed method.