Improved Method for Dealing with Discontinuities in Power System Transient Simulation Based on Frequency Response Optimized Integrators Considering Second Order Derivative

TL;DR

This paper introduces an improved numerical integration method for power system transient simulations that effectively manages discontinuities by considering second order derivatives, enhancing accuracy over traditional first order methods.

Contribution

The paper proposes a novel approach that incorporates second order derivatives into numerical integrators, reducing disagreements caused by discontinuities in power system transient simulations.

Findings

The improved method reduces simulation errors caused by discontinuities.

Numerical case studies verify the effectiveness of the proposed approach.

The approach is applicable to various high-order derivative numerical integrators.

Abstract

Potential disagreement in the result induced by discontinuities is revealed in this paper between a novel power system transient simulation scheme using numerical integrators considering second order derivative and conventional ones using numerical integrators considering first order derivative. The disagreement is due to the formula of the different numerical integrators. An improved method for dealing with discontinuities in the novel transient simulation scheme is proposed to resolve the disagreement. The effectiveness of the improved method is demonstrated and verified via numerical case studies. Although the disagreement is studied on and the improved method is proposed for a particular transient simulation scheme, similar conclusions also apply to other ones using numerical integrators considering high order derivative.