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Electronics 2019, 8(2), 135; https://doi.org/10.3390/electronics8020135

Harmonic PMU Algorithm Based on Complex Filters and Instantaneous Single-Sideband Modulation

1
ENAP-Research Group, CA-Sistemas Dinámicos, Facultad de Ingeniería, Universidad Autónoma de Querétaro (UAQ), Campus San Juan del Río, Río Moctezuma 249, Col. San Cayetano, San Juan del Río, Qro. C. P. 76807, Mexico
2
ENAP-Research Group, CA-Fuentes Alternas y Calidad de la Energía Eléctrica, Departamento de Ingeniería Electromecánica, Instituto Tecnológico Superior de Irapuato (ITESI), Carr. Irapuato-Silao km 12.5, Colonia El Copal, Irapuato, Guanajuato C. P. 36821, Mexico
*
Author to whom correspondence should be addressed.
Received: 30 December 2018 / Revised: 28 January 2019 / Accepted: 28 January 2019 / Published: 29 January 2019
(This article belongs to the Special Issue Power Quality in Smart Grids)
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Abstract

Phasor measurement units (PMUs) have become powerful monitoring tools for many applications in smart grids. In order to address the different issues related to harmonics in power systems, the fundamental phasor estimator in a PMU has been extended to the harmonic phasor estimator by several researchers around the world. Yet, the development of harmonic phasor estimators is a challenge because they have to consider time-varying frequencies since the frequency deviation in the harmonic components is proportional to the harmonic order in a dynamic way. In this work, a new algorithm for harmonic phasor estimation using an instantaneous single-sideband (SSB) modulation is presented. Unlike other SSB-based approaches, its implementation in this work is based on concepts of instantaneous phase and instantaneous frequency. In general, the proposed algorithm is divided into two stages. Firstly, the estimation of the fundamental phasor is carried out by means of a complex finite impulse response (FIR) filter which provides the analytic signal used to compute the instantaneous magnitude, phase, and frequency. Secondly, a complex FIR filter bank is proposed for the estimation of the harmonic components, where the instantaneous SSB modulation technique is applied in order to center the harmonic components into specific narrow bands for each complex filter when an off-nominal frequency occurs. The validation of the proposed algorithm is carried out by means of the current standards of phasor measurement units, i.e., Std. C37.118.1-2011 and C37.118.1a-2014, which involve steady-state, dynamic, and time performance tests. View Full-Text
Keywords: complex FIR filters; harmonic phasor; IEEE Standard C37.118.1; instantaneous phase and frequency; instantaneous single-sideband modulation; phasor measurement unit (PMU) complex FIR filters; harmonic phasor; IEEE Standard C37.118.1; instantaneous phase and frequency; instantaneous single-sideband modulation; phasor measurement unit (PMU)
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Mejia-Barron, A.; Granados-Lieberman, D.; Razo-Hernandez, J.R.; Amezquita-Sanchez, J.P.; Valtierra-Rodriguez, M. Harmonic PMU Algorithm Based on Complex Filters and Instantaneous Single-Sideband Modulation. Electronics 2019, 8, 135.

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