INSTANTANEOUS AND INTEGRAL POWER EQUATIONS OF NONSINUSOIDAL 3-PHASE PROCESSES

Purpose. To identify the mathematical relationship between the instantaneous powers (classical and vectorial) and integral powers in non-sinusoidal mode and to get complex form of instantaneous powers in 3-phase 4-wire power supply in terms of the spectral approach. Methodology. We have applied the...

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Autores principales:	Iu.A. Sirotin, T.S. Ierusalimova
Formato:	article
Lenguaje:	EN RU UK
Publicado:	National Technical University "Kharkiv Polytechnic Institute" 2016
Materias:	three-phase circuit classical instantaneous power vector instantaneous power complex 3-dimensional Fourier series active and reactive power complex vector power apparent power complex pulsation power power equation unbalanced mode non-sinusoidal mode 3-phasor Electrical engineering. Electronics. Nuclear engineering TK1-9971
Acceso en línea:	https://doaj.org/article/f978272abeaf483e94188a56da80bba9
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spelling	oai:doaj.org-article:f978272abeaf483e94188a56da80bba92021-12-02T16:19:41ZINSTANTANEOUS AND INTEGRAL POWER EQUATIONS OF NONSINUSOIDAL 3-PHASE PROCESSES10.20998/2074-272X.2016.1.132074-272X2309-3404https://doaj.org/article/f978272abeaf483e94188a56da80bba92016-03-01T00:00:00Zhttp://eie.khpi.edu.ua/article/view/2074-272X.2016.1.13/58145https://doaj.org/toc/2074-272Xhttps://doaj.org/toc/2309-3404Purpose. To identify the mathematical relationship between the instantaneous powers (classical and vectorial) and integral powers in non-sinusoidal mode and to get complex form of instantaneous powers in 3-phase 4-wire power supply in terms of the spectral approach. Methodology. We have applied the vector approach with one voice allows you to analyze the energy characteristics of 3-phase power supply circuits (for 4-wire and 3-wire circuits) in sinusoidal and non–sinusoidal mode, both the time domain and frequency domain. We have used 3-dimensional representation of the energy waveforms with the complex multi-dimensional Fourier series. Results. For 4-wire network with a non-sinusoidal (regardless of their symmetry) processes, we have developed the mathematical model one-dimensional representations of the complex form for the active (scalar) instantaneous power (IP) and 3-dimensional form (inactive) vectorial IP. It is possible to obtain two dual integral power equations for complex scalar and vector integrated power of non-sinusoidal modes. The power equations generalize generalizes the equations of sinusoidal modes for 4-wire network. Originality. In addition to the classification of energy local regimes in the time domain for the first time we spent the classification of non-sinusoidal modes in the spectral region and showed the value and importance of the classification of regimes based on the instantaneous powers. Practical value. The practical value the obtained equations is the possibility of their use for improving the quality of electricity supply and the quality electricity consumption.Iu.A. SirotinT.S. IerusalimovaNational Technical University "Kharkiv Polytechnic Institute"articlethree-phase circuitclassical instantaneous powervector instantaneous powercomplex 3-dimensional Fourier seriesactive and reactive powercomplex vector powerapparent powercomplex pulsation powerpower equationunbalanced modenon-sinusoidal mode3-phasorElectrical engineering. Electronics. Nuclear engineeringTK1-9971ENRUUKElectrical engineering & Electromechanics, Iss 1, Pp 69-73 (2016)
institution	DOAJ
collection	DOAJ
language	EN RU UK
topic	three-phase circuit classical instantaneous power vector instantaneous power complex 3-dimensional Fourier series active and reactive power complex vector power apparent power complex pulsation power power equation unbalanced mode non-sinusoidal mode 3-phasor Electrical engineering. Electronics. Nuclear engineering TK1-9971
spellingShingle	three-phase circuit classical instantaneous power vector instantaneous power complex 3-dimensional Fourier series active and reactive power complex vector power apparent power complex pulsation power power equation unbalanced mode non-sinusoidal mode 3-phasor Electrical engineering. Electronics. Nuclear engineering TK1-9971 Iu.A. Sirotin T.S. Ierusalimova INSTANTANEOUS AND INTEGRAL POWER EQUATIONS OF NONSINUSOIDAL 3-PHASE PROCESSES
description	Purpose. To identify the mathematical relationship between the instantaneous powers (classical and vectorial) and integral powers in non-sinusoidal mode and to get complex form of instantaneous powers in 3-phase 4-wire power supply in terms of the spectral approach. Methodology. We have applied the vector approach with one voice allows you to analyze the energy characteristics of 3-phase power supply circuits (for 4-wire and 3-wire circuits) in sinusoidal and non–sinusoidal mode, both the time domain and frequency domain. We have used 3-dimensional representation of the energy waveforms with the complex multi-dimensional Fourier series. Results. For 4-wire network with a non-sinusoidal (regardless of their symmetry) processes, we have developed the mathematical model one-dimensional representations of the complex form for the active (scalar) instantaneous power (IP) and 3-dimensional form (inactive) vectorial IP. It is possible to obtain two dual integral power equations for complex scalar and vector integrated power of non-sinusoidal modes. The power equations generalize generalizes the equations of sinusoidal modes for 4-wire network. Originality. In addition to the classification of energy local regimes in the time domain for the first time we spent the classification of non-sinusoidal modes in the spectral region and showed the value and importance of the classification of regimes based on the instantaneous powers. Practical value. The practical value the obtained equations is the possibility of their use for improving the quality of electricity supply and the quality electricity consumption.
format	article
author	Iu.A. Sirotin T.S. Ierusalimova
author_facet	Iu.A. Sirotin T.S. Ierusalimova
author_sort	Iu.A. Sirotin
title	INSTANTANEOUS AND INTEGRAL POWER EQUATIONS OF NONSINUSOIDAL 3-PHASE PROCESSES
title_short	INSTANTANEOUS AND INTEGRAL POWER EQUATIONS OF NONSINUSOIDAL 3-PHASE PROCESSES
title_full	INSTANTANEOUS AND INTEGRAL POWER EQUATIONS OF NONSINUSOIDAL 3-PHASE PROCESSES
title_fullStr	INSTANTANEOUS AND INTEGRAL POWER EQUATIONS OF NONSINUSOIDAL 3-PHASE PROCESSES
title_full_unstemmed	INSTANTANEOUS AND INTEGRAL POWER EQUATIONS OF NONSINUSOIDAL 3-PHASE PROCESSES
title_sort	instantaneous and integral power equations of nonsinusoidal 3-phase processes
publisher	National Technical University "Kharkiv Polytechnic Institute"
publishDate	2016
url	https://doaj.org/article/f978272abeaf483e94188a56da80bba9
work_keys_str_mv	AT iuasirotin instantaneousandintegralpowerequationsofnonsinusoidal3phaseprocesses AT tsierusalimova instantaneousandintegralpowerequationsofnonsinusoidal3phaseprocesses
_version_	1718384209905582080

INSTANTANEOUS AND INTEGRAL POWER EQUATIONS OF NONSINUSOIDAL 3-PHASE PROCESSES

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