Analysis of windowed dynamical electrical signals through orthogonal basis and the Kalman Filter

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Analysis of windowed dynamical electrical signals through orthogonal basis and the Kalman Filter

Conference Paper (2020)

Author(s)

E. Cortez (The University of Guadalajara)

F.A. Uribe (The University of Guadalajara)

P. Zuñiga (The University of Guadalajara)

J.J. Chavez (TU Delft - Intelligent Electrical Power Grids)

Kalman filter Fourier series Correlation of signals Dynamical electrical signals Energy of signals Orthogonal vectors

DOI related publication

https://doi.org/10.1109/ROPEC50909.2020.9258720 Final published version

To reference this document use

https://resolver.tudelft.nl/uuid:970013fa-1121-44b7-bbaa-604c14a9fb4f

More Info

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Publication Year

2020

Language

English

Article number

9258720

Pages (from-to)

1-7

ISBN (print)

978-1-7281-9954-2

ISBN (electronic)

978-1-7281-9953-5

Event

Downloads counter

109

Abstract

An orthogonal vector analysis of windowed dynamical electrical signals with a Kalman filter tracking is proposed in this paper. Based on The Fourier Series Theory, the correlation of the signal coefficient that minimizes the error energy is obtained to extract the sinusoid component of the dynamical electrical signal. Further, The Kalman Filter is applied to track the hidden time-frequency behavior. The proposed algorithm is validated by comparing the response of The Kalman Filter estimation of the naive signal and the approximated one with the discrete Fourier transform. The results suggest that the proposed method is able to improve the Kalman response when treating with signals with non-linear dynamical properties.