Global active control of sound can be achieved inside enclosures under low modal acoustic fields. However, the performance of the system depends largely on the localization of the elements of the control system. For a purely acoustic active control system in which secondary acoustic sources (loudspeakers) and pressure transducers (microphones) as error sensors are used, several optimization strategies have been proposed. These strategies usually rely on partial approximation to the problem, focusing on the study of number and localization of secondary sources without considering error transducers, or selecting the best positions of secondary sources and error transducers of an initial set of candidate locations for these elements. The strategy presented here for tonal global active noise control of steady states comprises two steps; the first is rather common for this sort of problem and its goal is to find the best locations for secondary sources and their strengths by minimizing the potential energy of the enclosure. The second step is the localization of the error transducer, which ensures the results of the first step. It is analytically demonstrated that for a single input single output system, the optimum location of error transducers is at a null pressure point of the optimally attenuated acoustic field. It is also shown that in a real case, the optimum position is that of a minimum of the optimally attenuated acoustic field. Finally, a numerical validation of this principle is carried out in a parallelipedic enclosure.
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e-mail: jignacio.palacios@sener.es
e-mail: jordi.romeu@upc.edu
e-mail: andreu.balastegui@upc.edu
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December 2010
Research Papers
Two Step Optimization of Transducer Locations in Single Input Single Output Tonal Global Active Noise Control in Enclosures
J. Ignacio Palacios,
e-mail: jignacio.palacios@sener.es
J. Ignacio Palacios
SENER Ingeniería y Sistemas
, 392 Provença Street, 08025 Barcelona, Spain
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Jordi Romeu,
Jordi Romeu
Department of Mechanical Engineering, Acoustic and Mechanical Engineering Laboratory,
e-mail: jordi.romeu@upc.edu
Universitat Politècnica de Catalunya
, Colom 11, 08222 Terrassa, Spain
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Andreu Balastegui
Andreu Balastegui
Department of Mechanical Engineering, Acoustic and Mechanical Engineering Laboratory,
e-mail: andreu.balastegui@upc.edu
Universitat Politècnica de Catalunya
, Colom 11, 08222 Terrassa, Spain
Search for other works by this author on:
J. Ignacio Palacios
SENER Ingeniería y Sistemas
, 392 Provença Street, 08025 Barcelona, Spaine-mail: jignacio.palacios@sener.es
Jordi Romeu
Department of Mechanical Engineering, Acoustic and Mechanical Engineering Laboratory,
Universitat Politècnica de Catalunya
, Colom 11, 08222 Terrassa, Spaine-mail: jordi.romeu@upc.edu
Andreu Balastegui
Department of Mechanical Engineering, Acoustic and Mechanical Engineering Laboratory,
Universitat Politècnica de Catalunya
, Colom 11, 08222 Terrassa, Spaine-mail: andreu.balastegui@upc.edu
J. Vib. Acoust. Dec 2010, 132(6): 061011 (8 pages)
Published Online: October 8, 2010
Article history
Received:
October 13, 2009
Revised:
May 28, 2010
Online:
October 8, 2010
Published:
October 8, 2010
Citation
Palacios, J. I., Romeu, J., and Balastegui, A. (October 8, 2010). "Two Step Optimization of Transducer Locations in Single Input Single Output Tonal Global Active Noise Control in Enclosures." ASME. J. Vib. Acoust. December 2010; 132(6): 061011. https://doi.org/10.1115/1.4002122
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