Quantifying Bounds of Model Gap for Synchronous Generators

TL;DR

This paper introduces a trajectory-sensitivity-based method to quantify the bounds of the model gap in synchronous generator models, accounting for uncertainties in parameters and structures, with practical case studies demonstrating its effectiveness.

Contribution

It presents a novel approach using linear time-varying system analysis to quantify model gaps for generators with various structural information.

Findings

Derived bounds for linear time-varying systems under different scenarios.

Applied bounds to generator models of varying accuracy levels.

Case studies confirm the method's effectiveness in practical settings.

Abstract

In practice, uncertainties in parameters and model structures always cause a gap between a model and the corresponding physical entity. Hence, to evaluate the performance of a model, the bounds of this gap must be assessed. In this paper, we propose a trajectory-sensitivity--based approach to quantify the bounds of the gap. The trajectory sensitivity is expressed as a linear time-varying system. We thus first derive several bounds for a general linear time-varying system in different scenarios. The derived bounds are then applied to obtain bounds of the model gap for generator plant models with different types of structural information, e.g., models of different orders. Case studies are carried out to show the efficacy of the bounds through synchronous generator models on different accuracy levels.