Semi-Analytical Electromagnetic Transient Simulation Using Differential Transformation

TL;DR

This paper introduces a semi-analytical method based on differential transformation to significantly accelerate electromagnetic transient simulations in power systems by enabling longer time steps compared to traditional numerical methods.

Contribution

It proposes a novel differential transformation-based semi-analytical approach that improves simulation speed for power system EMT models over conventional numerical techniques.

Findings

Significant speed-up in EMT simulations demonstrated.

Effective for multi-generator power system models.

Potential for real-time power system analysis.

Abstract

For electromagnetic transient (EMT) simulation of a power system, a state-space-based approach needs to solve state-space EMT equations by using numerical integration methods, e.g., the Euler method, Runge-Kutta methods, and trapezoidal-rule method, at small time steps. The simulation can be slow on a power system having multiple generators. To speed up state-space-based EMT simulations, this paper proposes a Differential Transformation based semi-analytical method that repeatedly utilizes a high-order semi-analytical solution of the EMT equations at longer time steps. The proposed semi-analytical method is tested on the detailed EMT model of a four-generator two-area system. Simulation results show the significant potential of the proposed method to accelerate EMT simulations of power systems compared with traditional numerical methods.