Power System Harmonics Identification Powered by an Eigensystem Realization Approach

Authors

Keywords:

Eigensystem realization algorithm, system identification, filter bank frequency response, power quality, total harmonic distortion

Abstract

The proliferation of power electronic devices through the massive integration of renewable energy sources on the small and medium scales in power systems has unleashed high harmonic distortions visible in electrical variables such as voltages and currents. Besides the deteriorating power quality, this fact also imposes challenges in quantifying power quality indicators, advocating novel approaches that deal with this issue. In this context, this paper counteracts such challenges by proposing a strategy to effectively measure the individual and total harmonic distortions in modern power grids. The proposal conceives the well-known system identification technique, the eigensystem realization algorithm, as a filter bank to extract the harmonic components from actual measurements and simulated data. Simulation results of two test systems confirm the effectiveness of the proposed method in attaining reliable estimates for the power system transient harmonics, inter-harmonics, and sub-harmonics. Furthermore, actual measurements corresponding to the energizing of a bank of three single-phase transformers connected in grounded Wye-Delta in an isolated lab-scale system are used. The well-known fast Fourier transform (FFT) approach is also applied to validate the proposition, resulting in the proposed ERA-based method is up to 50 times more precise in some cases than FFT.

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Author Biographies

Miguel G. Juarez, Michoacan University of Saint Nicholas of Hidalgo (UMSNH)

Miguel~G.~Juarez obtained his B.S. and M.Sc. degrees in electrical engineering from Universidad Michoacana de San Nicolas de Hidalgo (UMSNH), Morelia, Michoacan in 2021 and 2024, respectively.

Félix Reyes-Maldonado, Michoacan University of Saint Nicholas of Hidalgo (UMSNH)

Félix Reyes-Maldonado obtained his B.S. degree in electrical engineering from Universidad Michoacana de San Nicolas de Hidalgo (UMSNH), Morelia, Michoacan in 2021. He is currently working toward an M.Sc. degree in electrical engineering at UMSNH.

Alejandro Zamora-Mendez, Universidad Michoacana San Nicolás de Hidalgo

Alejandro Zamora-Mendez (M' 11) obtained his B.S. and M.Sc. in Electrical Engineering from Universidad Michoacana de San Nicolas de Hidalgo (UMSNH), Morelia, Mexico, in 2005 and 2008, respectively. He joined the Electrical Engineering Faculty, UMSNH in 2008. He received a D.Sc. degree in Electrical Engineering from CINVESTAV-Guadalajara in 2016.

Jose Ortiz-Bejar, Michoacan University of Saint Nicholas of Hidalgo (UMSNH)

José Ortiz-Bejar received the Ph.D. degree in data science from INFOTEC, Unidad Aguascalientes, in 2020. He is currently an associate professor with the Michoacan University of San Nicolás de Hidalgo. He has served as an Organizer of ROPEC and IEEE T\&DLA conferences. His research interest centers on machine learning applied to power systems analysis, text categorization, and clustering.

Juan Carlos Silva-Chavez, Michoacan University of Saint Nicholas of Hidalgo (UMSNH)

Juan Carlos Silva Chavez (Member, IEEE) received the Bachelor of Engineering degree in electrical engineering and the Master of Science from Instituto Tecnologico de Morelia, Morelia, Michoacan, Mexico in 1998 and 2001 respectively, and Doctor of Engineering degrees in electrical engineering from the Universidad Michoacana de San Nicolas de Hidalgo, Morelia, Michoacan, Mexico, in 2006. He is currently working as a faculty member at Universidad Michoacana de San Nicolas de Hidalgo, Morelia, Michoacan. His research interests include power system restructuring, power system planning, smart grid technologies, meta-heuristic optimization techniques, reliability analysis of renewable energy systems, power quality analysis, renewable energy integration, and electricity market.

Mario R. Arrieta Paternina, National Autonomous University of Mexico (UNAM)

Mario R. Arrieta Paternina (M' 11) holds a B.Eng. and M.Eng. in Electrical Engineering from National University of Colombia, Medellin, Colombia, in 2007 and 2009, respectively. In 2017, he obtained his D.Sc. degree in Electrical Engineering from CINVESTAV, and he joined the Department of Electrical Engineering at the UNAM.

Vicente Torres-Garcia, Instituto Tecnológico de Morelia

V. Torres-García (Senior, IEEE) received his M.Sc. and D.Sc. degrees in Electrical Engineering from the Instituto Tecnológico de Morelia, in 2009 and 2015, respectively. He is currently with the PGIIE of the TecNM campus Morelia. His research interests areas include electric power systems, distribution networks, harmonics, electromagnetic transients, and power systems protections.

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Published

2025-08-04

How to Cite

Juarez, M. G. ., Reyes-Maldonado, F. ., Zamora-Mendez, A., Ortiz-Bejar, J., Silva-Chavez, J. C., Arrieta Paternina, M. R., & Torres-Garcia, V. (2025). Power System Harmonics Identification Powered by an Eigensystem Realization Approach. IEEE Latin America Transactions, 23(9), 799–811. Retrieved from https://latamt.ieeer9.org/index.php/transactions/article/view/9609

Issue

Section

Electric Energy