A wavenumber approach to analysing the active control of plane waves with arrays of secondary sources
The active control of an incident sound field with an array of secondary sources is a fundamental problem in active control. In this paper the optimal performance of an infinite array of secondary sources in controlling a plane incident sound wave is first considered in free space. An analytic solut...
| Main Authors: | , , , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2019
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| Online Access: | https://hdl.handle.net/10356/86078 http://hdl.handle.net/10220/48285 |
| _version_ | 1811677637691572224 |
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| author | Elliott, Stephen J. Cheer, Jordan Bhan, Lam Shi, Chuang Gan, Woon-Seng |
| author2 | School of Electrical and Electronic Engineering |
| author_facet | School of Electrical and Electronic Engineering Elliott, Stephen J. Cheer, Jordan Bhan, Lam Shi, Chuang Gan, Woon-Seng |
| author_sort | Elliott, Stephen J. |
| collection | NTU |
| description | The active control of an incident sound field with an array of secondary sources is a fundamental problem in active control. In this paper the optimal performance of an infinite array of secondary sources in controlling a plane incident sound wave is first considered in free space. An analytic solution for normal incidence plane waves is presented, indicating a clear cut-off frequency for good performance, when the separation distance between the uniformly-spaced sources is equal to a wavelength. The extent of the near field pressure close to the source array is also quantified, since this determines the positions of the error microphones in a practical arrangement. The theory is also extended to oblique incident waves. This result is then compared with numerical simulations of controlling the sound power radiated through an open aperture in a rigid wall, subject to an incident plane wave, using an array of secondary sources in the aperture. In this case the diffraction through the aperture becomes important when its size is compatible with the acoustic wavelength, in which case only a few sources are necessary for good control. When the size of the aperture is large compared to the wavelength, and diffraction is less important but more secondary sources need to be used for good control, the results then become similar to those for the free field problem with an infinite source array. |
| first_indexed | 2024-10-01T02:40:32Z |
| format | Journal Article |
| id | ntu-10356/86078 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T02:40:32Z |
| publishDate | 2019 |
| record_format | dspace |
| spelling | ntu-10356/860782020-03-07T13:57:21Z A wavenumber approach to analysing the active control of plane waves with arrays of secondary sources Elliott, Stephen J. Cheer, Jordan Bhan, Lam Shi, Chuang Gan, Woon-Seng School of Electrical and Electronic Engineering Digital Signal Processing Lab DRNTU::Engineering::Electrical and electronic engineering Feedforward Control Active Noise Control The active control of an incident sound field with an array of secondary sources is a fundamental problem in active control. In this paper the optimal performance of an infinite array of secondary sources in controlling a plane incident sound wave is first considered in free space. An analytic solution for normal incidence plane waves is presented, indicating a clear cut-off frequency for good performance, when the separation distance between the uniformly-spaced sources is equal to a wavelength. The extent of the near field pressure close to the source array is also quantified, since this determines the positions of the error microphones in a practical arrangement. The theory is also extended to oblique incident waves. This result is then compared with numerical simulations of controlling the sound power radiated through an open aperture in a rigid wall, subject to an incident plane wave, using an array of secondary sources in the aperture. In this case the diffraction through the aperture becomes important when its size is compatible with the acoustic wavelength, in which case only a few sources are necessary for good control. When the size of the aperture is large compared to the wavelength, and diffraction is less important but more secondary sources need to be used for good control, the results then become similar to those for the free field problem with an infinite source array. Accepted version 2019-05-21T03:19:50Z 2019-12-06T16:15:33Z 2019-05-21T03:19:50Z 2019-12-06T16:15:33Z 2018 Journal Article Elliott, S. J., Cheer, J., Bhan, L., Shi, C., & Gan, W.-S. (2018). A wavenumber approach to analysing the active control of plane waves with arrays of secondary sources. Journal of Sound and Vibration, 419, 405-419. doi:10.1016/j.jsv.2018.01.028 0022-460X https://hdl.handle.net/10356/86078 http://hdl.handle.net/10220/48285 10.1016/j.jsv.2018.01.028 en Journal of Sound and Vibration © 2018 Elsevier Ltd. All rights reserved. This paper was published in Journal of Sound and Vibration and is made available with permission of Elsevier Ltd. 28 p. application/pdf |
| spellingShingle | DRNTU::Engineering::Electrical and electronic engineering Feedforward Control Active Noise Control Elliott, Stephen J. Cheer, Jordan Bhan, Lam Shi, Chuang Gan, Woon-Seng A wavenumber approach to analysing the active control of plane waves with arrays of secondary sources |
| title | A wavenumber approach to analysing the active control of plane waves with arrays of secondary sources |
| title_full | A wavenumber approach to analysing the active control of plane waves with arrays of secondary sources |
| title_fullStr | A wavenumber approach to analysing the active control of plane waves with arrays of secondary sources |
| title_full_unstemmed | A wavenumber approach to analysing the active control of plane waves with arrays of secondary sources |
| title_short | A wavenumber approach to analysing the active control of plane waves with arrays of secondary sources |
| title_sort | wavenumber approach to analysing the active control of plane waves with arrays of secondary sources |
| topic | DRNTU::Engineering::Electrical and electronic engineering Feedforward Control Active Noise Control |
| url | https://hdl.handle.net/10356/86078 http://hdl.handle.net/10220/48285 |
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