Fig. 1: Overview of the EP-LTP framework and its connection to the LTI framework. | Nature Communications

Fig. 1: Overview of the EP-LTP framework and its connection to the LTI framework.

From: Electromagnetic dynamic stability analysis of power electronics-dominated systems using eigenstructure-preserved LTP Theory

Fig. 1

Extensive research on the linear stability of NLTP systems has traditionally been conducted within the LTI framework using ER techniques. However, existing ER methods—such as the Park and DP methods, which convert NLTP systems into NLTI forms, and the HSS method, which approximates LTP systems as LTI forms—face significant challenges. In contrast, the EP-LTP framework aims to avoid additional transformations and directly maintains the system’s original LTP eigenstructure for linear stability analysis, allowing modeling and analysis to be performed within the LTP framework. Nevertheless, stability analysis for LTP systems has traditionally relied solely on Floquet theory for assessing overall system stability. To address this, we further evaluate the correlation between stability and states or parameters through the LTP eigenstructure analysis.

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