Instantaneous Frequency in Power Systems using the Teager-Kaiser Energy Operator

TL;DR

This paper introduces a new method for estimating instantaneous frequency in power systems using the complex Teager-Kaiser energy operator, which improves accuracy by explicitly accounting for envelope and curvature effects.

Contribution

It presents a novel IF estimator that corrects bias in traditional methods and provides a geometric interpretation without phase unwrapping.

Findings

Accurate instantaneous frequency estimation demonstrated through simulations.

The method aligns with complex-frequency kinematics and offers a geometric perspective.

Improves bias correction in power system frequency analysis.

Abstract

This paper develops an instantaneous-frequency (IF) local estimator calculated with the complex Teager-Kaiser energy operator (CTKEO) and the dynamic-signal identity. The contribution is a novel IF expression that makes the envelope-curvature terms explicit, thus correcting the bias that affects conventional estimators used in power systems. The estimator aligns with complex-frequency (CF) kinematics and admits a geometric interpretation (curvature/torsion) without phase unwrapping. Simulations and data-driven examples demonstrate the accuracy of the proposed approach.