Wavelet operator for multiscale modeling of a nuclear reactor
This article introduces a methodology of designing a wavelet operator suitable for multiscale modeling. The operator matrix transforms states of a multivariable system onto projection space. In addition, it imposes a specific structure on the system matrix in a multiscale environment. To be specific...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2018-06-01
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| Series: | Nuclear Engineering and Technology |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1738573317302292 |
| _version_ | 1819124209832427520 |
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| author | Vineet Vajpayee Siddhartha Mukhopadhyay Akhilanand Pati Tiwari |
| author_facet | Vineet Vajpayee Siddhartha Mukhopadhyay Akhilanand Pati Tiwari |
| author_sort | Vineet Vajpayee |
| collection | DOAJ |
| description | This article introduces a methodology of designing a wavelet operator suitable for multiscale modeling. The operator matrix transforms states of a multivariable system onto projection space. In addition, it imposes a specific structure on the system matrix in a multiscale environment. To be specific, the article deals with a diagonalizing transform that is useful for decoupled control of a system. It establishes that there exists a definite relationship between the model in the measurement space and that in the projection space. Methodology for deriving the multirate perfect reconstruction filter bank, associated with the wavelet operator, is presented. The efficacy of the proposed technique is demonstrated by modeling the point kinetics nuclear reactor. The outcome of the multiscale modeling approach is compared with that in the single-scale approach to bring out the advantage of the proposed method. Keywords: Diagonalizing Transform, Filter Bank, Multiscale Modeling, Nuclear Reactor, Wavelets |
| first_indexed | 2024-12-22T07:20:37Z |
| format | Article |
| id | doaj.art-d3893853e1054a498ec6454fcc5c41c4 |
| institution | Directory Open Access Journal |
| issn | 1738-5733 |
| language | English |
| last_indexed | 2024-12-22T07:20:37Z |
| publishDate | 2018-06-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Engineering and Technology |
| spelling | doaj.art-d3893853e1054a498ec6454fcc5c41c42022-12-21T18:34:17ZengElsevierNuclear Engineering and Technology1738-57332018-06-01505698708Wavelet operator for multiscale modeling of a nuclear reactorVineet Vajpayee0Siddhartha Mukhopadhyay1Akhilanand Pati Tiwari2Homi Bhabha National Institute, Mumbai 400094, India; Corresponding author.Homi Bhabha National Institute, Mumbai 400094, India; Seismology Division of Bhabha Atomic Research Centre, Trombay, Mumbai 400085, IndiaHomi Bhabha National Institute, Mumbai 400094, India; Reactor Control System Design Section of Bhabha Atomic Research Centre, Trombay, Mumbai 400085, IndiaThis article introduces a methodology of designing a wavelet operator suitable for multiscale modeling. The operator matrix transforms states of a multivariable system onto projection space. In addition, it imposes a specific structure on the system matrix in a multiscale environment. To be specific, the article deals with a diagonalizing transform that is useful for decoupled control of a system. It establishes that there exists a definite relationship between the model in the measurement space and that in the projection space. Methodology for deriving the multirate perfect reconstruction filter bank, associated with the wavelet operator, is presented. The efficacy of the proposed technique is demonstrated by modeling the point kinetics nuclear reactor. The outcome of the multiscale modeling approach is compared with that in the single-scale approach to bring out the advantage of the proposed method. Keywords: Diagonalizing Transform, Filter Bank, Multiscale Modeling, Nuclear Reactor, Waveletshttp://www.sciencedirect.com/science/article/pii/S1738573317302292 |
| spellingShingle | Vineet Vajpayee Siddhartha Mukhopadhyay Akhilanand Pati Tiwari Wavelet operator for multiscale modeling of a nuclear reactor Nuclear Engineering and Technology |
| title | Wavelet operator for multiscale modeling of a nuclear reactor |
| title_full | Wavelet operator for multiscale modeling of a nuclear reactor |
| title_fullStr | Wavelet operator for multiscale modeling of a nuclear reactor |
| title_full_unstemmed | Wavelet operator for multiscale modeling of a nuclear reactor |
| title_short | Wavelet operator for multiscale modeling of a nuclear reactor |
| title_sort | wavelet operator for multiscale modeling of a nuclear reactor |
| url | http://www.sciencedirect.com/science/article/pii/S1738573317302292 |
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