Parameter determination of a nonsinusoidal periodic signal harmonic based on the modified sine transform

An algorithm is presented for determining the amplitude and the initial phase of the oscillations of the kth harmonic included in the structure of the nonsinusoidal periodic signal. The algorithm differs from the well-known Euler–Fourier method based on sine and cosine transforms. The qualitative di...

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Asıl Yazarlar:	Mamaev, V. A., Мамаев, В. А., Kononova, N. N., Кононова, Н. Н.
Materyal Türü:	Статья
Dil:	English
Baskı/Yayın Bilgisi:	Allerton Press Incorporation 2018
Konular:	Kth harmonic parameters Modified sine transform Nonsinusoidal periodic signal Periodic structures Algorithms Cosine transforms Harmonic analysis
Online Erişim:	https://www.scopus.com/record/display.uri?eid=2-s2.0-84987750307&origin=resultslist&sort=plf-f&src=s&nlo=1&nlr=20&nls=afprfnm-t&affilName=north+caucasus+federal+university&sid=51a2a50b556b71f709e60f3b90e59c8f&sot=afnl&sdt=cl&cluster=scopubyr%2c%222016%22%2ct&sl=53&s=%28AF-ID%28%22North+Caucasus+Federal+University%22+60070541%29%29&relpos=46&citeCnt=1&searchTerm= https://dspace.ncfu.ru/handle/20.500.12258/3258
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spelling	ir-20.500.12258-32582020-07-31T09:28:37Z Parameter determination of a nonsinusoidal periodic signal harmonic based on the modified sine transform Mamaev, V. A. Мамаев, В. А. Kononova, N. N. Кононова, Н. Н. Kth harmonic parameters Modified sine transform Nonsinusoidal periodic signal Periodic structures Algorithms Cosine transforms Harmonic analysis An algorithm is presented for determining the amplitude and the initial phase of the oscillations of the kth harmonic included in the structure of the nonsinusoidal periodic signal. The algorithm differs from the well-known Euler–Fourier method based on sine and cosine transforms. The qualitative difference of the proposed method consists in the use of the cosine function, which is an analytic solution of a modified sine transform, the structure of which includes a sinusoidal factor with a complex argument that contains a variable phase angle. The coordinates of the maximum of this functional dependence, which is raised to a positive integer power to improve the accuracy of determining the parameters, are uniquely associated with the amplitude and the initial phase of oscillations of the kth harmonic of the nonsinusoidal signal. The considered method minimizes the use of nonlinear operations and at its core has the element inherent in the selective filter. The possibility of obtaining information on the parameters of the first voltage and current harmonics with the required accuracy enhances the reliability of the evaluation of processes occurring in the power system in the conditions of interference in the form of higher harmonics. An example problem is solved in the MS Excel environment 2018-10-12T09:36:39Z 2018-10-12T09:36:39Z 2016 Статья Mamaev, V.A., Kononova, N.N., Murav’ev, K.A. Parameter determination of a nonsinusoidal periodic signal harmonic based on the modified sine transform // Russian Electrical Engineering. - 2016. - Volume 87. - Issue 7. - Pages 373-377 https://www.scopus.com/record/display.uri?eid=2-s2.0-84987750307&origin=resultslist&sort=plf-f&src=s&nlo=1&nlr=20&nls=afprfnm-t&affilName=north+caucasus+federal+university&sid=51a2a50b556b71f709e60f3b90e59c8f&sot=afnl&sdt=cl&cluster=scopubyr%2c%222016%22%2ct&sl=53&s=%28AF-ID%28%22North+Caucasus+Federal+University%22+60070541%29%29&relpos=46&citeCnt=1&searchTerm= http://hdl.handle.net/20.500.12258/3258 en Russian Electrical Engineering application/pdf Allerton Press Incorporation
institution	СКФУ
collection	Репозиторий
language	English
topic	Kth harmonic parameters Modified sine transform Nonsinusoidal periodic signal Periodic structures Algorithms Cosine transforms Harmonic analysis
spellingShingle	Kth harmonic parameters Modified sine transform Nonsinusoidal periodic signal Periodic structures Algorithms Cosine transforms Harmonic analysis Mamaev, V. A. Мамаев, В. А. Kononova, N. N. Кононова, Н. Н. Parameter determination of a nonsinusoidal periodic signal harmonic based on the modified sine transform
description	An algorithm is presented for determining the amplitude and the initial phase of the oscillations of the kth harmonic included in the structure of the nonsinusoidal periodic signal. The algorithm differs from the well-known Euler–Fourier method based on sine and cosine transforms. The qualitative difference of the proposed method consists in the use of the cosine function, which is an analytic solution of a modified sine transform, the structure of which includes a sinusoidal factor with a complex argument that contains a variable phase angle. The coordinates of the maximum of this functional dependence, which is raised to a positive integer power to improve the accuracy of determining the parameters, are uniquely associated with the amplitude and the initial phase of oscillations of the kth harmonic of the nonsinusoidal signal. The considered method minimizes the use of nonlinear operations and at its core has the element inherent in the selective filter. The possibility of obtaining information on the parameters of the first voltage and current harmonics with the required accuracy enhances the reliability of the evaluation of processes occurring in the power system in the conditions of interference in the form of higher harmonics. An example problem is solved in the MS Excel environment
format	Статья
author	Mamaev, V. A. Мамаев, В. А. Kononova, N. N. Кононова, Н. Н.
author_facet	Mamaev, V. A. Мамаев, В. А. Kononova, N. N. Кононова, Н. Н.
author_sort	Mamaev, V. A.
title	Parameter determination of a nonsinusoidal periodic signal harmonic based on the modified sine transform
title_short	Parameter determination of a nonsinusoidal periodic signal harmonic based on the modified sine transform
title_full	Parameter determination of a nonsinusoidal periodic signal harmonic based on the modified sine transform
title_fullStr	Parameter determination of a nonsinusoidal periodic signal harmonic based on the modified sine transform
title_full_unstemmed	Parameter determination of a nonsinusoidal periodic signal harmonic based on the modified sine transform
title_sort	parameter determination of a nonsinusoidal periodic signal harmonic based on the modified sine transform
publisher	Allerton Press Incorporation
publishDate	2018
url	https://www.scopus.com/record/display.uri?eid=2-s2.0-84987750307&origin=resultslist&sort=plf-f&src=s&nlo=1&nlr=20&nls=afprfnm-t&affilName=north+caucasus+federal+university&sid=51a2a50b556b71f709e60f3b90e59c8f&sot=afnl&sdt=cl&cluster=scopubyr%2c%222016%22%2ct&sl=53&s=%28AF-ID%28%22North+Caucasus+Federal+University%22+60070541%29%29&relpos=46&citeCnt=1&searchTerm= https://dspace.ncfu.ru/handle/20.500.12258/3258
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Parameter determination of a nonsinusoidal periodic signal harmonic based on the modified sine transform

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