Measurement of definite integral of sinusoidal signal absolute value third power using digital stochastic method
In this paper a special case of digital stochastic measurement of the third power of definite integral of sinusoidal signal’s absolute value, using 2-bit AD converters is presented. This case of digital stochastic method had emerged from the need to measure power and energy of the wind. Pow...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Faculty of Technical Sciences in Cacak
2017-01-01
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| Series: | Serbian Journal of Electrical Engineering |
| Subjects: | |
| Online Access: | http://www.doiserbia.nb.rs/img/doi/1451-4869/2017/1451-48691701085B.pdf |
| _version_ | 1819175501720190976 |
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| author | Beljić Željko Ličina Boris Sovilj Platon Pejić Dragan Vujičić Vladimir Vujičić Bojan |
| author_facet | Beljić Željko Ličina Boris Sovilj Platon Pejić Dragan Vujičić Vladimir Vujičić Bojan |
| author_sort | Beljić Željko |
| collection | DOAJ |
| description | In this paper a special case of digital stochastic measurement of the third
power of definite integral of sinusoidal signal’s absolute value, using 2-bit
AD converters is presented. This case of digital stochastic method had
emerged from the need to measure power and energy of the wind. Power and
energy are proportional to the third power of wind speed. Anemometer output
signal is sinusoidal. Therefore an integral of the third power of sinusoidal
signal is zero. Two approaches are proposed for the third power calculation
of the wind speed signal. One approach is to use absolute value of sinusoidal
signal (before AD conversion) for which there is no need of multiplier
hardware change. The second approach requires small multiplier hardware
change, but input signal remains unchanged. For the second approach proposed
minimal hardware change was made to calculate absolute value of the result
after AD conversion. Simulations have confirmed theoretical analysis.
Expected precision of wind energy measurement of proposed device is better
than 0,00051% of full scale. [Project of the Serbian Ministry of Education,
Science and Technological Development, Grant no. TR32019] |
| first_indexed | 2024-12-22T20:55:53Z |
| format | Article |
| id | doaj.art-57bbe4c5d5c540d295d93c616399ecee |
| institution | Directory Open Access Journal |
| issn | 1451-4869 2217-7183 |
| language | English |
| last_indexed | 2024-12-22T20:55:53Z |
| publishDate | 2017-01-01 |
| publisher | Faculty of Technical Sciences in Cacak |
| record_format | Article |
| series | Serbian Journal of Electrical Engineering |
| spelling | doaj.art-57bbe4c5d5c540d295d93c616399ecee2022-12-21T18:12:57ZengFaculty of Technical Sciences in CacakSerbian Journal of Electrical Engineering1451-48692217-71832017-01-01141859810.2298/SJEE1701085B1451-48691701085BMeasurement of definite integral of sinusoidal signal absolute value third power using digital stochastic methodBeljić Željko0Ličina Boris1Sovilj Platon2Pejić Dragan3Vujičić Vladimir4Vujičić Bojan5Faculty of Technical Sciences, Novi SadFaculty of Technical Sciences, Novi SadFaculty of Technical Sciences, Novi SadFaculty of Technical Sciences, Novi SadFaculty of Technical Sciences, Novi SadFaculty of Technical Sciences, Novi SadIn this paper a special case of digital stochastic measurement of the third power of definite integral of sinusoidal signal’s absolute value, using 2-bit AD converters is presented. This case of digital stochastic method had emerged from the need to measure power and energy of the wind. Power and energy are proportional to the third power of wind speed. Anemometer output signal is sinusoidal. Therefore an integral of the third power of sinusoidal signal is zero. Two approaches are proposed for the third power calculation of the wind speed signal. One approach is to use absolute value of sinusoidal signal (before AD conversion) for which there is no need of multiplier hardware change. The second approach requires small multiplier hardware change, but input signal remains unchanged. For the second approach proposed minimal hardware change was made to calculate absolute value of the result after AD conversion. Simulations have confirmed theoretical analysis. Expected precision of wind energy measurement of proposed device is better than 0,00051% of full scale. [Project of the Serbian Ministry of Education, Science and Technological Development, Grant no. TR32019]http://www.doiserbia.nb.rs/img/doi/1451-4869/2017/1451-48691701085B.pdfAD conversiondigital measurementselectrical measurementsprobabilitystochastic processes |
| spellingShingle | Beljić Željko Ličina Boris Sovilj Platon Pejić Dragan Vujičić Vladimir Vujičić Bojan Measurement of definite integral of sinusoidal signal absolute value third power using digital stochastic method Serbian Journal of Electrical Engineering AD conversion digital measurements electrical measurements probability stochastic processes |
| title | Measurement of definite integral of sinusoidal signal absolute value third power using digital stochastic method |
| title_full | Measurement of definite integral of sinusoidal signal absolute value third power using digital stochastic method |
| title_fullStr | Measurement of definite integral of sinusoidal signal absolute value third power using digital stochastic method |
| title_full_unstemmed | Measurement of definite integral of sinusoidal signal absolute value third power using digital stochastic method |
| title_short | Measurement of definite integral of sinusoidal signal absolute value third power using digital stochastic method |
| title_sort | measurement of definite integral of sinusoidal signal absolute value third power using digital stochastic method |
| topic | AD conversion digital measurements electrical measurements probability stochastic processes |
| url | http://www.doiserbia.nb.rs/img/doi/1451-4869/2017/1451-48691701085B.pdf |
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