Modeling a wind turbine sound field involves taking into account the main aeroacoustic sources that are generally dominant for modern wind turbines, as well as environmental phenomena such as atmospheric conditions and ground properties that are variable in both time and space. A crucial step to obtain reliable predictions is to estimate the relative influence of environmental parameters on acoustic emission and propagation, in order to determine the parameters that induce the greatest variability on sound pressure level. Thus, this study proposes a Morris sensitivity analysis of a wind turbine noise emission model combined with a sound propagation model in downwind conditions. The emission model is based on Amiet's theory and propagation effects are modeled by the wide-angle parabolic equation. The whole simulation takes into account ground effects (absorption through acoustic impedance and scattering through surface roughness) and micrometeorological effects (mean refraction through the vertical gradient of effective sound speed). The final results show that the parameters involved in atmospheric refraction and in ground absorption have a significant influence on sound pressure level. On the other hand, in the context of this study the relative air humidity and the ground roughness parameters appear to be negligible on sound pressure level sensitivity.
References
1.
Amiet
, R. K.
(1975
). “Acoustic radiation from an airfoil in a turbulent stream
,” J. Sound Vib.
41
(4
), 407
–420
.2.
Amiet
, R. K.
(1976
). “Noise due to turbulent flow past a trailing edge
,” J. Sound Vib.
47
(3
), 387
–393
.3.
Barlas
, E.
, Zhu
, W. J.
, Shen
, W. Z.
, Dag
, K. O.
, and Moriarty
, P.
(2017
). “Consistent modelling of wind turbine noise propagation from source to receiver
,” J. Acoust. Soc. Am.
142
(5
), 3297
–3310
.4.
Bass
, F. G.
, and Fuks
, I. M.
(1979
). Wave Scattering from Statistically Rough Surfaces: International Series in Natural Philosophy
(Elsevier
, Amsterdam
).5.
Bertagnolio
, F.
, Madsen
, H. A.
, and Fischer
, A.
(2017
). “A combined aeroelastic-aeroacoustic model for wind turbine noise: Verification and analysis of field measurements
,” Wind Energy
20
(8
), 1331
–1348
.6.
Blaes
, X.
, and Defourny
, P.
(2008
). “Characterizing bidimensional roughness of agricultural soil surfaces for SAR modeling
,” IEEE Trans. Geosci. Remote Sens.
46
(12
), 4050
–4061
.7.
Borgeaud
, M.
, and Bellini
, A.
(1998
). “A database for electromagnetic scattering studies of bare soil surfaces
,” in Proceedings of IGARSS '98, Sensing and Managing the Environment, 1998 IEEE International Geoscience and Remote Sensing
, Vol. 3
, pp. 1197
–1199
.8.
Boulanger
, P.
, and Attenborough
, K.
(2005
). “Effective impedance spectra for predicting rough sea effects on atmospheric impulsive sounds
,” J. Acoust. Soc. Am.
117
(2
), 751
–762
.9.
Bourlier
, C.
, Pinel
, N.
, and Kubické
, G.
(2013
). Method of Moments for 2D Scattering Problems: Basic Concepts and Applications
(Wiley
, New York
).10.
Brelet
, Y.
, and Bourlier
, C.
(2008
). “Bistatic scattering from a sea-like one-dimensional rough surface with the perturbation theory in HF-VHF band
,” in Proceedings of IGARSS 2008, IEEE International Geoscience and Remote Sensing Symposium
, Vol. 4
, pp. IV-1137
–IV-1140
.11.
Brutsaert
, W.
(1982
). Evaporation into the Atmosphere: Theory, History and Applications
(Springer
, Dordrecht
).12.
Buck
, S.
, Oerlemans
, S.
, and Palo
, S.
(2016
). “Experimental characterization of turbulent inflow noise on a full-scale wind turbine
,” J. Sound Vib.
385
, 219
–238
.13.
Cheinet
, S.
, Cosnefroy
, M.
, Königstein
, F.
, Rickert
, W.
, Christoph
, M.
, Collier
, S. L.
, Dagallier
, A.
, Ehrhardt
, L.
, Ostashev
, V. E.
, Stefanovic
, A.
, Wessling
, T.
, and Wilson
, D. K.
(2018
). “An experimental study of the atmospheric-driven variability of impulse sounds
,” J. Acoust. Soc. Am.
144
(2
), 822
–840
.14.
Chevret
, P.
, Blanc-Benon
, P.
, and Juvé
, D.
(1996
). “A numerical model for sound propagation through a turbulent atmosphere near the ground
,” J. Acoust. Soc. Am.
100
(6
), 3587
–3599
.15.
Collins
, M. D.
(1993
). “A split-step Padé solution for the parabolic equation method
,” J. Acoust. Soc. Am.
93
(4
), 1736
–1742
.16.
Cotté
, B.
(2019
). “Extended source models for wind turbine noise propagation
,” J. Acoust. Soc. Am.
145
(3
), 1363
–1371
.17.
Davidson
, M. W. J.
, Toan
, T. L.
, Mattia
, F.
, Satalino
, G.
, Manninen
, T.
, and Borgeaud
, M.
(2000
). “On the characterization of agricultural soil roughness for radar remote sensing studies
,” IEEE Trans. Geosci. Remote Sens.
38
(2
), 630
–640
.18.
Embleton
, T. F. W.
, Piercy
, J. E.
, and Daigle
, G. A.
(1983
). “Effective flow resistivity of ground surfaces determined by acoustical measurements
,” J. Acoust. Soc. Am.
74
(4
), 1239
–1244
.19.
Faivre
, R.
, Iooss
, B.
, Mahévas
, S.
, Makowski
, D.
, and Monod
, H.
(2013
). Analyse de sensibilité et exploration de modèles: Application aux sciences de la nature et de l'environnement
(Sensitivity Analysis and Model Exploration: Application to Natural and Environmental Sciences) (Editions Quae
, Versailles
).20.
Gauvreau
, B.
(2013
). “Long-term experimental database for environmental acoustics
,” Appl. Acoust.
74
(7
), 958
–967
.21.
Heimann
, D.
, Englberger
, A.
, and Schady
, A.
(2018
). “Sound propagation through the wake flow of a hilltop wind turbine-A numerical study
,” Wind Energy
21
(8
), 650
–662
.22.
Heimann
, D.
, and Salomons
, E. M.
(2004
). “Testing meteorological classifications for the prediction of long-term average sound levels
,” Appl. Acoust.
65
(10
), 925
–950
.23.
Iooss
, B.
(2011
). “Revue sur l'analyse de sensibilité globale de modèles numériques
” (“Review on global sensitivity analysis of numerical models”), J. Soc. Fran. Stat.
152
(1
), 1
–23
.24.
ISO
(1993
). ISO9613-1:1993, “Acoustics—Sound attenuation in free field—Part 1: Atmospheric absorption calculation
” (International Organization for Standardization, Geneva, Switzerland).25.
Kayser
, B.
, Gauvreau
, B.
, and Ecotière
, D.
(2019
). “Sensitivity analysis of a parabolic equation model to ground impedance and surface roughness for wind turbine noise
,” J. Acoust. Soc. Am.
146
(5
), 3222
–3231
.26.
Kayser
, B.
, Gauvreau
, B.
, Ecotière
, D.
, and Le Bourdat
, C.
(2018
). “A new experimental database for wind turbine noise propagation in an outdoor inhomogeneous medium
,” in Proceedings of the 17th International Symposium on Long Range Sound Propagation
, Lyon, France.27.
Kirby
, R.
(2014
). “On the modification of Delany and Bazley fomulae
,” Appl. Acoust.
86
, 47
–49
.28.
Lee
, S.
, Lee
, D.
, and Honhoff
, S.
(2016
). “Prediction of far-field wind turbine noise propagation with parabolic equation
,” J. Acoust. Soc. Am.
140
(2
), 767
–778
.29.
Lihoreau
, B.
, Gauvreau
, B.
, Bérengier
, M.
, Blanc-Benon
, P.
, and Calmet
, I.
(2006
). “Outdoor sound propagation modeling in realistic environments: Application of coupled parabolic and atmospheric models
,” J. Acoust. Soc. Am.
120
(1
), 110
–119
.30.
McBride
, S.
, and Burdisso
, R.
(2017
). “A comprehensive Hamiltonian ray tracing technique for wind turbine noise propagation under arbitrary weather conditions
,” in Seventh International Meeting on Wind Turbine Noise
, pp. 1
–12
.31.
Miki
, Y.
(1990
). “Acoustical properties of porous materials-Modifications of Delany-Bazley models
,” J. Acoust. Soc. Jpn. (E)
11
(1
), 19
–24
.32.
Monin
, A. S.
, and Obukhov
, A. M.
(1954
). “Basic laws of turbulent mixing in the surface layer of the atmosphere
,” Contrib. Geophys. Inst. Acad. Sci. USSR
151
, 163
–187
.33.
Morris
, M. D.
(1991
). “Factorial sampling plans for preliminary computational experiments
,” Technometrics
33
(2
), 161
–174
.34.
Nicolas
, J.
, and Berry
, J. L.
(1984
). “Propagation du son et effet de sol
” (“Sound propagation and ground effects”), Rev. Acoust.
71
(4
), 191
–200
.35.
Oerlemans
, S.
, and Schepers
, J. G.
(2009
). “Prediction of wind turbine noise and validation against experiment
,” Int. J. Aeroacoust.
8
(6
), 555
–584
.36.
Pettit
, C. L.
, and Wilson
, D. K.
(2007
). “Proper orthogonal decomposition and cluster weighted modeling for sensitivity analysis of sound propagation in the atmospheric surface layer
,” J. Acoust. Soc. Am.
122
(3
), 1374
–1390
.37.
Renterghem
, T. V.
, and Botteldooren
, D.
(2018
). “Variability due to short-distance favorable sound propagation and its consequences for immission assessment
,” J. Acoust. Soc. Am.
143
(6
), 3406
–3417
.38.
Roger
, M.
, and Moreau
, S.
(2010
). “Extensions and limitations of analytical airfoil broadband noise models
,” Int. J. Aeroacoust.
9
(3
), 273
–305
.39.
Salomons
, E. M.
(2001
). Computational Atmospheric Acoustics
(Kluwer Academic
, Dordrecht, the Netherlands)
.40.
Saltelli
, A.
, Chan
, K.
, and Scott
, E. M.
(2000
). Sensitivity Analysis
(Wiley
, New York
).41.
Saltelli
, A.
, Ratto
, M.
, Andres
, T.
, Campolongo
, F.
, Cariboni
, J.
, Gatelli
, D.
, Saisana
, M.
, and Tarantola
, S.
(2008
). Global Sensitivity Analysis: The Primer
(Wiley
, New York
).42.
Sinayoko
, S.
, Kingan
, M.
, and Agarwal
, A.
(2013
). “Trailing edge noise theory for rotating blades in uniform flow
,” Proc. R. Soc. A: Math. Phys. Eng. Sci.
469
(2157
), 20130065
.43.
Tian
, Y.
, and Cotté
, B.
(2016
). “Wind turbine noise modeling based on Amiet's theory: Effects of wind shear and atmospheric turbulence
,” Acta Acust. Acust.
102
(4
), 626
–639
.44.
Wilson
, D. K.
(2003
). “The sound-speed gradient and refraction in the near-ground atmosphere
,” J. Acoust. Soc. Am.
113
(2
), 750
–757
.45.
Wilson
, D. K.
, Pettit
, C. L.
, Ostashev
, V. E.
, and Vecherin
, S. N.
(2014
). “Description and quantification of uncertainty in outdoor sound propagation calculations
,” J. Acoust. Soc. Am.
136
(3
), 1013
–1028
.46.
Zouboff
, V.
, Brunet
, Y.
, Bérengier
, M.
, and Sechet
, E.
(1994
). “A qualitative approach of atmospheric effects on long range sound propagation
,” in Proceedings of the 6th International Symposium on Long Range Sound Propagation
, Ottawa, Canada.© 2020 Acoustical Society of America.
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