Relationship between Buchholz’s Apparent Power and Instantaneous Power in Three-Phase Systems

Similarly to how Steinmetz developed his theory of alternating current in single-phase sinusoidal systems, a few formal relationships between expressions of the instantaneous and Buchholz’s apparent power in three-phase systems were identified in this paper. Based on these relationships, a...

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Main Authors: Vicente León-Martínez, Joaquín Montañana-Romeu, Elisa Peñalvo-López, Iván Valencia-Salazar
Format: Article
Language:English
Published: MDPI AG 2020-03-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/10/5/1798
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author Vicente León-Martínez
Joaquín Montañana-Romeu
Elisa Peñalvo-López
Iván Valencia-Salazar
author_facet Vicente León-Martínez
Joaquín Montañana-Romeu
Elisa Peñalvo-López
Iván Valencia-Salazar
author_sort Vicente León-Martínez
collection DOAJ
description Similarly to how Steinmetz developed his theory of alternating current in single-phase sinusoidal systems, a few formal relationships between expressions of the instantaneous and Buchholz’s apparent power in three-phase systems were identified in this paper. Based on these relationships, a methodology to express Buchholz’s apparent power and its components in any three-phase, wye-configured system—sinusoidal or non-sinusoidal, balanced or unbalanced—through instantaneous power expressions was established. The application of the proposed method to the entire system allowed the determination of a novel quantity referred to as neutral-displacement power, which measured the impacts of the phenomena caused by the neutral path operation on the values of the source and load apparent power. These impacts were analyzed using a real-world urban installation with a neutral conductor deterioration simulation via an Excel platform as an application example.
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spelling doaj.art-27c37694e73d4831804990989387815b2022-12-21T18:40:50ZengMDPI AGApplied Sciences2076-34172020-03-01105179810.3390/app10051798app10051798Relationship between Buchholz’s Apparent Power and Instantaneous Power in Three-Phase SystemsVicente León-Martínez0Joaquín Montañana-Romeu1Elisa Peñalvo-López2Iván Valencia-Salazar3Universitat Politècnica de València, Camino de Vera 14, 46022 València, SpainUniversitat Politècnica de València, Camino de Vera 14, 46022 València, SpainUniversitat Politècnica de València, Camino de Vera 14, 46022 València, SpainInstituto Tecnológico de Veracruz, Miguel Ángel de Quevedo 2779, 91897 Veracruz, MexicoSimilarly to how Steinmetz developed his theory of alternating current in single-phase sinusoidal systems, a few formal relationships between expressions of the instantaneous and Buchholz’s apparent power in three-phase systems were identified in this paper. Based on these relationships, a methodology to express Buchholz’s apparent power and its components in any three-phase, wye-configured system—sinusoidal or non-sinusoidal, balanced or unbalanced—through instantaneous power expressions was established. The application of the proposed method to the entire system allowed the determination of a novel quantity referred to as neutral-displacement power, which measured the impacts of the phenomena caused by the neutral path operation on the values of the source and load apparent power. These impacts were analyzed using a real-world urban installation with a neutral conductor deterioration simulation via an Excel platform as an application example.https://www.mdpi.com/2076-3417/10/5/1798apparent powerinstantaneous powerpower systemsunbalanced systemsdistorted systemsneutral conductor
spellingShingle Vicente León-Martínez
Joaquín Montañana-Romeu
Elisa Peñalvo-López
Iván Valencia-Salazar
Relationship between Buchholz’s Apparent Power and Instantaneous Power in Three-Phase Systems
Applied Sciences
apparent power
instantaneous power
power systems
unbalanced systems
distorted systems
neutral conductor
title Relationship between Buchholz’s Apparent Power and Instantaneous Power in Three-Phase Systems
title_full Relationship between Buchholz’s Apparent Power and Instantaneous Power in Three-Phase Systems
title_fullStr Relationship between Buchholz’s Apparent Power and Instantaneous Power in Three-Phase Systems
title_full_unstemmed Relationship between Buchholz’s Apparent Power and Instantaneous Power in Three-Phase Systems
title_short Relationship between Buchholz’s Apparent Power and Instantaneous Power in Three-Phase Systems
title_sort relationship between buchholz s apparent power and instantaneous power in three phase systems
topic apparent power
instantaneous power
power systems
unbalanced systems
distorted systems
neutral conductor
url https://www.mdpi.com/2076-3417/10/5/1798
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