PNNL

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 a generator plant model with different types of imprecise structural information. Case studies are carried out to show the efficacy of the bounds through synchronous generator models on different accuracy levels.