PMU-based dynamic state and parameter estimation for dynamic security assessment in power systems -- Ultimate boundedness in the presence of measurement noise

TL;DR

This paper proves that a specific dynamic state and parameter estimation method for power systems maintains bounded errors despite measurement noise, ensuring reliable security assessment.

Contribution

It demonstrates the ultimate boundedness of estimation errors in noisy conditions for a previously proposed method, applicable to various system configurations.

Findings

Estimation errors are ultimately bounded with bounded noise.

The method applies to third-order flux-decay models.

Simulations confirm theoretical results.

Abstract

Dynamic state and parameter estimation methods for dynamic security assessment in power systems are becoming increasingly important for system operators. Usually, the data used for this type of applications stems from phasor measurement units (PMUs) and is corrupted by noise. In general, the impact of the latter may significantly deteriorate the estimation performance. This motivates the present work, in which it is proven that the state and parameter estimation method proposed by part of the authors in [1] and extended in [2] features the property that the estimation errors are ultimately bounded in the presence of PMU measurement data corrupted by bounded noise. The analysis is conducted for the third-order flux-decay model of a synchronous generator and holds independently of the employed automatic voltage regulator and power system stabilizer (if present). The analysis is illustrated by simulations.