Mode-Shape Deformation of Power System DAEs by Time-Domain Integration Methods

TL;DR

This paper investigates how time-domain integration methods deform the mode shapes in power system models, using a small-signal stability analysis framework to compare participation factors before and after discretization.

Contribution

It introduces a novel framework for identifying mode-shape deformation caused by TDI methods through participation factor comparison.

Findings

TDI methods can significantly alter mode shapes in power system models.

The proposed framework efficiently detects mode-shape deformation.

Results help improve the accuracy of dynamic power system simulations.

Abstract

This paper studies the numerical deformation that time-domain integration (TDI) methods introduce to the shape of the coupling between the dynamic modes and variables of power system models. To this aim, we employ a small-signal stability analysis (SSSA)-based framework where such mode-shape deformation is efficiently identified by comparing the modal participation factors (PFs) of the power system model with the PFs of the discrete-time system that is derived from the application of the TDI method. The proposed approach is illustrated for TDI methods commonly used in dynamic power system calculations.