SlideShare ist ein Scribd-Unternehmen logo
1 von 48
Downloaden Sie, um offline zu lesen
FUNDAMENTAL ACOUSTICS
          AND
WIND TURBINE NOISE ISSUES
        Prof. Gopu R. Potty, Ph.D.
     Department of Ocean Engineering
        University of Rhode Island
         Narragansett, RI 02882
            potty@egr.uri.edu
Major Task



Develop general guidelines on
allowable sound level thresholds
and appropriate setbacks
Outline

• Acoustic fundamentals

• Wind turbine as a noise source

• Review of noise regulations
Sound Waves




Sound is a pressure wave             Intensity is the average amount
                                     of sound power transmitted
Sounds have different frequencies    through a unit area in a
      Human hearing: 20 Hz to 20 kHz specified direction. The unit of
      Less than 20 Hz - infrasound   intensity is watts per square
                                     meter.
Decibel

                •The decibel (dB) is a
                logarithmic comparison of
                intensities.
                •Named for Alexander
                Graham Bell




                         ⎧ Acoustic Intensity ⎫
      Level =     10 log ⎨                     ⎬
                         ⎩ Reference Intensity ⎭
Reference acoustic intensity = 1x10 −12 W/m 2
Decibel level of some sounds




http://www.redferret.net/?p=9346
Adding decibels
• Let’s say we had 3 sources of sound at 70, 80 
  and 90 dB each, what is the total level? 
• We need to convert the individual levels into 
  raw intensities and add them
• The sum thus calculated (expressed in dB) in 
  this case is 90.5 dB




Two turbines produce 3 dB more than one turbine
Sound Pressure Level (SPL)


SPL= 20 log Pressure of an acoustic signal
              reference pressure



The units of L are dB relative to the
reference pressure.

The reference pressure is
20 micropascals based on
hearing tests of 16 million men
in WW2.

This corresponds to an
Intensity of 1x10-12 W/m2.
Source Level SL
                                                    (Rogers et al., 2006)

SL is defined to be

20 log Pressure of source at 1 m
           reference pressure
The units of SL are dB relative to
Reference pressure of 20 micropascals at 1 meter.

                      SL referenced at 1 meter




  Quantifies the strength of the source !!!!
Acoustics at a distance

• We can predict the sound pressure level of an 
  acoustic signal at a distance.

             L = SL - TL

      L = Sound Pressure Level
      SL = Source Level
      TL = Transmission Loss


 Nascar fans in the front row are exposed to more intense sound
 than the fans in back row due to transmission loss.
Transmission Loss
• Transmission Loss TL (aka 
  propagation loss) describes 
  the weakening of sound 
  between a point 1 meter 
  from the source and a point 
  at a distance r meters. 
• It is the ratio of intensity at 
  any range ‘r’ to intensity at 1         (Rogers et al., 2006)
  m 

                  Intensity at r meters
   TL = -10 log
                  Intensity at 1 meter
Transmission Loss Components
                                        Absorption coefft.
• Geometrical spreading                 expressed in dB/km or
• Absorption                            dB/m

• Scattering                            Absorption a function of
  – Volumetric scattering, turbulence   • Temperature
                                        • Humidity
  – Groundcover, trees, structures      • Frequency


• Total loss = Geometrical Spreading +Absorption 
                                    +Scattering
Geometrical Spreading:  Spherical
Weakening of the acoustic intensity due
to spreading

Related to the surface areas of spheres (or
hemi-spheres) at two ranges.




                                   Doubling the distance to the
                                   turbine reduces the SPL by 6dB
Closer is Usually Louder




Nascar car
with a source
level of 130 dB



at 10 meters, the level would be 110 dB

                               at 100 meters, the level would be 90 dB
The Hearing Threshold Curve
From: Yost




                                              The range of human hearing is
                                              generally considered to be 20
                                              Hz to 20 kHz, but it is far more
                                              sensitive to sounds between 1
                                              kHz and 4 kHz.



Listeners can detect sounds as low as 0 dB SPL at 3 kHz, but require 40
dB SPL at 60 hertz (an amplitude increase of 100)
A and C Weightings

• A weighting filters out the low frequencies 
  and slightly emphasizes the upper middle 
  frequencies around 2‐3 kHz. By comparison C 
  weighting is almost unweighted, or no 
  filtering at all.
• As a general rule, C weighting is used for 
  protection against very intense sounds while 
  A weighting is used for less intense sounds 
  and predicts annoyance fairly well.
     http://www.e-a-r.com/pdf/hearingcons/FAQdba.pdf
Wind Noise
Wind turbines differ in several respects from other sources of community noises

Modern wind turbines mainly emit noise from turbulence at the trailing edge
of the rotor blades.

The turbine sound power level varies with    the wind speed at hub height.

The sound is amplitude modulated with the rotation rate of the rotor blades, due
to the variation in wind speed with height and the reduction in wind speed near the
tower.

Amplitude-modulated sound is more easily perceived than is constant-level sound
and has been found to be more annoying

Sound that occurs unpredictably     and uncontrollably is more annoying than
other sounds
Wind Noise

Wind turbines are tall and highly visible, often being placed in open,
rural areas with low levels of background sound.

Consequently, wind turbines are sometimes regarded as visible and
audible intruders in otherwise unspoiled environments.

 Furthermore, the moving rotor blades draw attention, possibly
enhancing the perception of sound in a multi-modal effect
Wind Turbine Noise Sources
The sources of noise emitted
from operating wind turbines can
be divided into two categories:
•       mechanical and
•       aerodynamic.

The primary sources of
mechanical noise are the gearbox
and the generator.

The highest contributor to the
total sound power from a turbine
is the aerodynamic noise, which
is produced by the flow of air
over the blades.
Portsmouth Wind Turbine
                                (July/Aug 2009)




Measured at a distance of 65 meters.
Units are dB re 20 μPa2 in a 1/3-octave band
Portsmouth Wind Turbine
   Science Fair Project (Chitanya Gopu- SK High)                                                 At 0.5 km (Heather Rhodes)
 Trial 1              Trial 2:       Trial 3:       Trial 4:         Trial 5:         Trial 6:   11/30     11/30   11/30 11/30 12/01
                                                                                                 6:50 AM   10:31   3:30   8:30   5:30
 59.27                59.30          59.40          59.12            59.36            59.41                AM      PM     PM     AM
                                                                                                 56.7      54.4    54.7   51.3   49.2

                                 Simple hemispherical propagation model
           100


            90


            80
                                                                                                                          B
            70
 SPL dBA




            60


            50


            40


            30


            20
                                                                                                           A
                 0   100   200     300      400     500   600      700    800   900     1000
                                         distance from tower (m)




sound of the traffic from Rt. 24 was dominant !!!!
Vestas V‐52 850 kW Wind Turbine; 
             10 m/s wind speed; 80 m from the turbine (Leventhal)




                             tonals
Level (dB)




                Frequency (Hz)
Low Frequency Noise
• Low frequency noise (20‐100 Hz) 
  and infrasound (less than 20 Hz) 
  are issues that are frequently 
  raised as concerns associated with 
  wind farm developments
• Usually G‐weighted
• Perceived a mixture of tactile and 
  auditory sensations
• Threshold of hearing at 10 Hz very 
  high (~100 dB G)
                                        Sources for low-frequency noise are either
• Low frequency noise generation is     of a natural origin, such as air turbulence
  generally confined to turbines        wind, thunder, ocean waves, volcanic
  whose rotors operate downwind         eruptions, and earthquakes or of human
                                        origin such as heating, ventilation, air-
  of the support tower – a              conditioning systems, machinery, cars,
  downwind machine.                     trucks, airplanes, and loudspeaker systems
Infrasound Measurements
                                                                             Note the high
                                                                             background
                                                                             noise level
                                                                             below 5 Hz


                                                                                  10 dB




From: Jorgen Jakobsen, journal of Low Frequency Noise, Vibration and Active Control, 24(3), 2005
Low frequency sound (10‐160 Hz)
‘Swish’ Noise
• Swish‐swish sound is 
  amplitude modulation at 
  blade passing frequencies of 
  higher frequency blade tip 
  turbulence 
• Does not contain low 
  frequencies
• Diminishes with distance
• Blurs with multiple turbines




    Time
Noise Varies with Wind Speed


                                  Note the
                                  higher noise
                                  levels at
                                  low wind
                                  speeds




Downwind at 34.5 meters
Wind Noise Regulations

Most international and various states in USA set a base
noise level for low wind speeds.

Many regulations specify a night time level of 35 dBA in a
rural location.

To prevent the adverse impacts from the increased noise of
wind turbine generators at high wind conditions, the
increased noise levels must also be compared to the
corresponding background noise at any location of interest.

For example some codes specify that the wind farm noise
doesn’t exceed the background noise by more than 5 dBA at
higher wind speeds.
Typical Guidelines for Pure Tones

A pure tone is defined to exist if the 1/3rd octave band sound pressure
level in the band, including the tone, exceeds the arithmetic average
of the two contiguous 1/3 octave bands by

•5 dBA for center frequencies of 500 Hz and above
•8 dBA for center frequencies between 160 Hz and 400 Hz
•15 dBA for center frequencies less than or equal to 125 Hz

Most of the codes penalize tonals. For example, Huron County, MI,
specifies that when steady pure tone is present, the standard for
audible noise shall be reduced by 5 dBA.
ISO 1996-1971 guidelines



                                                                          Lower
                                                                          night time
                                                                          limits !!!
Gabrielson,
Acoustic Today,
2006                                                         A temperature increase
                                                             (an “inversion”) with
                                                             altitude often occurs at
                                                             night and this causes
                                                             sound to be refracted
                                                             downward
On an expedition to Venezuela in 1899, Baron von Humboldt observed much better
sound transmission from a waterfall on the Orinoco River at night than during the day !!.
WHO guidelines




* LAeq
U.K, France, South Australia and Canada




Canada
Denmark




          Lp= Sound Pressure level
Massachusetts Dept. Env. Protection Criteria


 A noise source will be considered in violation 
 if the source results in:

• An increase in the broadband sound pressure 
  level of more than 10 dBA above ambient or
• Pure tone condition: when any octave band 
  level exceeds two adjacent band levels by 3 
  dB
Study Plan

• Make repeated sound level measurements using sound
  level meter (during day and night) near existing turbines
  in RI.
• Compare this to sound level models
• Make ambient sound measurements at locations of
  interest.
• Develop a weight to reflect noise considerations which
  can be incorporated into TDI calculations
• Develop general guidelines on allowable sound level
  thresholds
Dose-Response Relationship Studies

                                         Dutch and Swedish
                                         studies (Pedersen et
                                         al., J. Acoust. Soc.
                                         Am., Vol. 126, No. 2,
                                         August 2009


                                        Need to account 
             LDEN dB(A)                for perception !!!
Annoyance towards wind turbine sound is enhanced by the
  •high visibility of the noise source,
  •swishing quality of the sound,
  •its unpredictable occurrence,
  •continuation of the sound at night.
Questions


Audio: winds 20-30 mph, 50 ft tower, 50 ft from tower, wind slows down then speeds up
Extra slides
Perception of Sound from Wind Turbines




Annoyance towards wind turbine sound is enhanced by the
  •high visibility of the noise source,
  •swishing quality of the sound,
  •its unpredictable occurrence,
  •continuation of the sound at night.
Perception of Sound from Wind Turbines




Annoyance was highest in what was classified as built-up area (mostly
small towns and villages)
Could be interpreted as an effect of place attachment
In this view, new technical devices being deemed not beneficial for the
living environment induce a negative reaction .
This theory cannot, however, be confirmed from the present data set.
Perception of Sound from Wind Turbines




Annoyance was found to be significantly higher in the Dutch study in the
35–40-dBA interval.
The perceived difference could be due to the larger wind turbines
included in the Dutch study.
Perception of Sound from Wind Turbines




Noise from wind turbines was found to be more annoying than other
sources.
Percentage of people annoyed lies between noise from aircraft and from
shunting yards.
Like aircraft, wind turbines are elevated sound sources visible from afar
and hence intrude both visually and aurally into private space
Wind turbine noise (like shunting yard noise) ceases at night
Background Wind Noise

•Masks wind turbine
noise
•Increases with wind
speed
•Typical levels 30-45
dBA




                                 wind speed (m/s)
Sound Pressure Levels
Directivity
                             (Wei Jun Zhu)



  Single turbine at the center
  Receiver positions range from 60 to 200 m




Wind direction
Summary of Infrasound Measurements




From: Jorgen Jakobsen, journal of Low Frequency Noise, Vibration and Active Control, 24(3), 2005
Air Absorption of Sound

Absorption coefft.
expressed in dB/km




 Absorption a function of
 • Temperature
 • Humidity
 • Frequency




       Harris, Handbook of Acoustical Measurements and Noise Control, 1998.
Auditory Perception

 • A 1 dB change in SPL is below the level of 
   human perception
 • For a sound to double in loudness, an increase 
   of 10 dB is required
 • A 3 dB change in SPL level is minimum level of 
   human perception (it is just barely noticeable)
 • An SPL of 140 dB is the threshold of pain


From: Acoustic Analysis Dartmouth DPW Wind Project (Atlantic Design Engineers, LLC)

Weitere ähnliche Inhalte

Was ist angesagt?

Noise pollution and its assessment
Noise pollution and its assessmentNoise pollution and its assessment
Noise pollution and its assessmentSafdar Ali
 
The Recording Environment part 1
The Recording Environment part 1The Recording Environment part 1
The Recording Environment part 1Magic Finger Lounge
 
Business Energy Magazine 206-06 Edition - MIRATECH Article
Business Energy Magazine 206-06 Edition - MIRATECH ArticleBusiness Energy Magazine 206-06 Edition - MIRATECH Article
Business Energy Magazine 206-06 Edition - MIRATECH ArticleMehmood Ahmed
 
Lecture2 antennas and propagation
Lecture2 antennas and propagationLecture2 antennas and propagation
Lecture2 antennas and propagationYahya Alzidi
 
Preliminary Physics - World communicates 2
Preliminary Physics - World communicates 2Preliminary Physics - World communicates 2
Preliminary Physics - World communicates 2Silvia Choi
 
Physics 3 notes: light and sound mechanics including eyes, ears, longitudina...
Physics 3 notes:  light and sound mechanics including eyes, ears, longitudina...Physics 3 notes:  light and sound mechanics including eyes, ears, longitudina...
Physics 3 notes: light and sound mechanics including eyes, ears, longitudina...Robin Seamon
 
NOISE REDUCTION & STUDY OF NOISE MEASURING EQUIPMENTS
NOISE REDUCTION  & STUDY OF  NOISE MEASURING EQUIPMENTSNOISE REDUCTION  & STUDY OF  NOISE MEASURING EQUIPMENTS
NOISE REDUCTION & STUDY OF NOISE MEASURING EQUIPMENTSSony Madaan
 
E2S warning signals - guide to specifying audible signals
E2S warning signals  - guide to specifying audible signalsE2S warning signals  - guide to specifying audible signals
E2S warning signals - guide to specifying audible signalsE2S Warning Signals
 
Sound waves presentation
Sound waves presentationSound waves presentation
Sound waves presentationBrittneyalexis
 

Was ist angesagt? (20)

Sound unit 4
Sound unit 4Sound unit 4
Sound unit 4
 
Noise pollution and its assessment
Noise pollution and its assessmentNoise pollution and its assessment
Noise pollution and its assessment
 
The Recording Environment part 1
The Recording Environment part 1The Recording Environment part 1
The Recording Environment part 1
 
Sound unit 4
Sound unit 4Sound unit 4
Sound unit 4
 
Magazine Artical
Magazine ArticalMagazine Artical
Magazine Artical
 
Light
LightLight
Light
 
Business Energy Magazine 206-06 Edition - MIRATECH Article
Business Energy Magazine 206-06 Edition - MIRATECH ArticleBusiness Energy Magazine 206-06 Edition - MIRATECH Article
Business Energy Magazine 206-06 Edition - MIRATECH Article
 
Sound
SoundSound
Sound
 
Lecture2 antennas and propagation
Lecture2 antennas and propagationLecture2 antennas and propagation
Lecture2 antennas and propagation
 
Preliminary Physics - World communicates 2
Preliminary Physics - World communicates 2Preliminary Physics - World communicates 2
Preliminary Physics - World communicates 2
 
Physics 3 notes: light and sound mechanics including eyes, ears, longitudina...
Physics 3 notes:  light and sound mechanics including eyes, ears, longitudina...Physics 3 notes:  light and sound mechanics including eyes, ears, longitudina...
Physics 3 notes: light and sound mechanics including eyes, ears, longitudina...
 
Third Grading Module 3 Sound Waves
Third Grading Module 3 Sound WavesThird Grading Module 3 Sound Waves
Third Grading Module 3 Sound Waves
 
NOISE REDUCTION & STUDY OF NOISE MEASURING EQUIPMENTS
NOISE REDUCTION  & STUDY OF  NOISE MEASURING EQUIPMENTSNOISE REDUCTION  & STUDY OF  NOISE MEASURING EQUIPMENTS
NOISE REDUCTION & STUDY OF NOISE MEASURING EQUIPMENTS
 
Characteristic of sound waves
Characteristic of sound wavesCharacteristic of sound waves
Characteristic of sound waves
 
E2S warning signals - guide to specifying audible signals
E2S warning signals  - guide to specifying audible signalsE2S warning signals  - guide to specifying audible signals
E2S warning signals - guide to specifying audible signals
 
Sound waves presentation
Sound waves presentationSound waves presentation
Sound waves presentation
 
Module No. 46
Module No. 46Module No. 46
Module No. 46
 
Sound project
Sound  projectSound  project
Sound project
 
Time Based Effects
Time Based EffectsTime Based Effects
Time Based Effects
 
Sound 2
Sound 2Sound 2
Sound 2
 

Ähnlich wie FUNDAMENTAL ACOUSTICS AND WIND TURBINE NOISE ISSUES

Ähnlich wie FUNDAMENTAL ACOUSTICS AND WIND TURBINE NOISE ISSUES (20)

3-Basic Acoustics.ppt
3-Basic Acoustics.ppt3-Basic Acoustics.ppt
3-Basic Acoustics.ppt
 
Hsb 2011 diffuse
Hsb 2011 diffuseHsb 2011 diffuse
Hsb 2011 diffuse
 
Acoust.ppt
Acoust.pptAcoust.ppt
Acoust.ppt
 
Fundamental of Noise.ppt
Fundamental of Noise.pptFundamental of Noise.ppt
Fundamental of Noise.ppt
 
Fundamental of Radio Frequency
Fundamental of Radio FrequencyFundamental of Radio Frequency
Fundamental of Radio Frequency
 
Characteristics of Waves
Characteristics of WavesCharacteristics of Waves
Characteristics of Waves
 
The Fundamentals of HVAC Acoustics
The Fundamentals of HVAC AcousticsThe Fundamentals of HVAC Acoustics
The Fundamentals of HVAC Acoustics
 
EVS_Lecture_26.pdf
EVS_Lecture_26.pdfEVS_Lecture_26.pdf
EVS_Lecture_26.pdf
 
noisepollutionpresentationexamoledetails
noisepollutionpresentationexamoledetailsnoisepollutionpresentationexamoledetails
noisepollutionpresentationexamoledetails
 
Noise pollution
Noise pollutionNoise pollution
Noise pollution
 
Properties of sound
Properties of soundProperties of sound
Properties of sound
 
sound basic & microphone
sound basic & microphonesound basic & microphone
sound basic & microphone
 
N 4-antennas propagation
N 4-antennas propagationN 4-antennas propagation
N 4-antennas propagation
 
Sound resounance
Sound resounanceSound resounance
Sound resounance
 
Module 5 of ME 010 702 DYNAMICS OF MACHINES
Module 5 of ME 010 702 DYNAMICS OF MACHINESModule 5 of ME 010 702 DYNAMICS OF MACHINES
Module 5 of ME 010 702 DYNAMICS OF MACHINES
 
Antennas propagation
Antennas propagationAntennas propagation
Antennas propagation
 
U ltrasound physiscs
U ltrasound physiscsU ltrasound physiscs
U ltrasound physiscs
 
The nature of sound
The nature of soundThe nature of sound
The nature of sound
 
15 sound
15 sound15 sound
15 sound
 
Report on bass and trable - Analog Proect
Report on bass and trable - Analog ProectReport on bass and trable - Analog Proect
Report on bass and trable - Analog Proect
 

Mehr von riseagrant

2015 International Spatial Planning Symposium: Sharing Practical Solutions
2015 International Spatial Planning Symposium: Sharing Practical Solutions 2015 International Spatial Planning Symposium: Sharing Practical Solutions
2015 International Spatial Planning Symposium: Sharing Practical Solutions riseagrant
 
Regional Planning
Regional Planning Regional Planning
Regional Planning riseagrant
 
Ocean Planning's Impact
Ocean Planning's ImpactOcean Planning's Impact
Ocean Planning's Impactriseagrant
 
Block Island Wind Farm
Block Island Wind FarmBlock Island Wind Farm
Block Island Wind Farmriseagrant
 
STORMTOOLS for Beginners
STORMTOOLS for BeginnersSTORMTOOLS for Beginners
STORMTOOLS for Beginnersriseagrant
 
Beach samp stakeholder_tools_071415
Beach samp stakeholder_tools_071415Beach samp stakeholder_tools_071415
Beach samp stakeholder_tools_071415riseagrant
 
Legal and Policy Strategies for SLAMM in Rhode Island
Legal and Policy Strategies for SLAMM in Rhode IslandLegal and Policy Strategies for SLAMM in Rhode Island
Legal and Policy Strategies for SLAMM in Rhode Islandriseagrant
 
Coastal Wetland Adaptation Strategies
Coastal Wetland Adaptation StrategiesCoastal Wetland Adaptation Strategies
Coastal Wetland Adaptation Strategiesriseagrant
 
Coastal Weland Management and Adaptation Straegies
Coastal Weland Management and Adaptation StraegiesCoastal Weland Management and Adaptation Straegies
Coastal Weland Management and Adaptation Straegiesriseagrant
 
Sea Level Rise & the Conservation of Wetlands: Issues and Opportunities for C...
Sea Level Rise & the Conservation of Wetlands: Issues and Opportunities for C...Sea Level Rise & the Conservation of Wetlands: Issues and Opportunities for C...
Sea Level Rise & the Conservation of Wetlands: Issues and Opportunities for C...riseagrant
 
Local Case Studies
Local Case StudiesLocal Case Studies
Local Case Studiesriseagrant
 
Sea Level Affecting Marshes Model (SLAMM)
Sea Level Affecting Marshes Model (SLAMM)Sea Level Affecting Marshes Model (SLAMM)
Sea Level Affecting Marshes Model (SLAMM)riseagrant
 
Sea Levels Affecting Marshes Model Using SLAMM to Conserve Rhode Island’s Coa...
Sea Levels Affecting Marshes Model Using SLAMM to Conserve Rhode Island’s Coa...Sea Levels Affecting Marshes Model Using SLAMM to Conserve Rhode Island’s Coa...
Sea Levels Affecting Marshes Model Using SLAMM to Conserve Rhode Island’s Coa...riseagrant
 
RI Shoreline Change Special Area Management Plan
RI Shoreline Change Special Area Management PlanRI Shoreline Change Special Area Management Plan
RI Shoreline Change Special Area Management Planriseagrant
 
STORMTOOLS* -Simplified Flood Inundation Maps for RI with Sea Level Rise (SLR)
STORMTOOLS* -Simplified Flood Inundation Maps for RI with Sea Level Rise (SLR)STORMTOOLS* -Simplified Flood Inundation Maps for RI with Sea Level Rise (SLR)
STORMTOOLS* -Simplified Flood Inundation Maps for RI with Sea Level Rise (SLR)riseagrant
 
IBHS FORTIFIED Building Programs
IBHS FORTIFIED Building ProgramsIBHS FORTIFIED Building Programs
IBHS FORTIFIED Building Programsriseagrant
 
Lessons from Sandy and Green Infrastructure Strategies
Lessons from Sandy and Green Infrastructure Strategies Lessons from Sandy and Green Infrastructure Strategies
Lessons from Sandy and Green Infrastructure Strategies riseagrant
 
Economic Justification for Action Now in Rhode Island
Economic Justification for Action Now in Rhode IslandEconomic Justification for Action Now in Rhode Island
Economic Justification for Action Now in Rhode Islandriseagrant
 
Green Infrastructure
Green Infrastructure Green Infrastructure
Green Infrastructure riseagrant
 
Gulf of Mexico Alliance Resilient Marina Checklist
Gulf of Mexico Alliance Resilient Marina ChecklistGulf of Mexico Alliance Resilient Marina Checklist
Gulf of Mexico Alliance Resilient Marina Checklistriseagrant
 

Mehr von riseagrant (20)

2015 International Spatial Planning Symposium: Sharing Practical Solutions
2015 International Spatial Planning Symposium: Sharing Practical Solutions 2015 International Spatial Planning Symposium: Sharing Practical Solutions
2015 International Spatial Planning Symposium: Sharing Practical Solutions
 
Regional Planning
Regional Planning Regional Planning
Regional Planning
 
Ocean Planning's Impact
Ocean Planning's ImpactOcean Planning's Impact
Ocean Planning's Impact
 
Block Island Wind Farm
Block Island Wind FarmBlock Island Wind Farm
Block Island Wind Farm
 
STORMTOOLS for Beginners
STORMTOOLS for BeginnersSTORMTOOLS for Beginners
STORMTOOLS for Beginners
 
Beach samp stakeholder_tools_071415
Beach samp stakeholder_tools_071415Beach samp stakeholder_tools_071415
Beach samp stakeholder_tools_071415
 
Legal and Policy Strategies for SLAMM in Rhode Island
Legal and Policy Strategies for SLAMM in Rhode IslandLegal and Policy Strategies for SLAMM in Rhode Island
Legal and Policy Strategies for SLAMM in Rhode Island
 
Coastal Wetland Adaptation Strategies
Coastal Wetland Adaptation StrategiesCoastal Wetland Adaptation Strategies
Coastal Wetland Adaptation Strategies
 
Coastal Weland Management and Adaptation Straegies
Coastal Weland Management and Adaptation StraegiesCoastal Weland Management and Adaptation Straegies
Coastal Weland Management and Adaptation Straegies
 
Sea Level Rise & the Conservation of Wetlands: Issues and Opportunities for C...
Sea Level Rise & the Conservation of Wetlands: Issues and Opportunities for C...Sea Level Rise & the Conservation of Wetlands: Issues and Opportunities for C...
Sea Level Rise & the Conservation of Wetlands: Issues and Opportunities for C...
 
Local Case Studies
Local Case StudiesLocal Case Studies
Local Case Studies
 
Sea Level Affecting Marshes Model (SLAMM)
Sea Level Affecting Marshes Model (SLAMM)Sea Level Affecting Marshes Model (SLAMM)
Sea Level Affecting Marshes Model (SLAMM)
 
Sea Levels Affecting Marshes Model Using SLAMM to Conserve Rhode Island’s Coa...
Sea Levels Affecting Marshes Model Using SLAMM to Conserve Rhode Island’s Coa...Sea Levels Affecting Marshes Model Using SLAMM to Conserve Rhode Island’s Coa...
Sea Levels Affecting Marshes Model Using SLAMM to Conserve Rhode Island’s Coa...
 
RI Shoreline Change Special Area Management Plan
RI Shoreline Change Special Area Management PlanRI Shoreline Change Special Area Management Plan
RI Shoreline Change Special Area Management Plan
 
STORMTOOLS* -Simplified Flood Inundation Maps for RI with Sea Level Rise (SLR)
STORMTOOLS* -Simplified Flood Inundation Maps for RI with Sea Level Rise (SLR)STORMTOOLS* -Simplified Flood Inundation Maps for RI with Sea Level Rise (SLR)
STORMTOOLS* -Simplified Flood Inundation Maps for RI with Sea Level Rise (SLR)
 
IBHS FORTIFIED Building Programs
IBHS FORTIFIED Building ProgramsIBHS FORTIFIED Building Programs
IBHS FORTIFIED Building Programs
 
Lessons from Sandy and Green Infrastructure Strategies
Lessons from Sandy and Green Infrastructure Strategies Lessons from Sandy and Green Infrastructure Strategies
Lessons from Sandy and Green Infrastructure Strategies
 
Economic Justification for Action Now in Rhode Island
Economic Justification for Action Now in Rhode IslandEconomic Justification for Action Now in Rhode Island
Economic Justification for Action Now in Rhode Island
 
Green Infrastructure
Green Infrastructure Green Infrastructure
Green Infrastructure
 
Gulf of Mexico Alliance Resilient Marina Checklist
Gulf of Mexico Alliance Resilient Marina ChecklistGulf of Mexico Alliance Resilient Marina Checklist
Gulf of Mexico Alliance Resilient Marina Checklist
 

Kürzlich hochgeladen

Cyber Security Training in Office Environment
Cyber Security Training in Office EnvironmentCyber Security Training in Office Environment
Cyber Security Training in Office Environmentelijahj01012
 
Annual General Meeting Presentation Slides
Annual General Meeting Presentation SlidesAnnual General Meeting Presentation Slides
Annual General Meeting Presentation SlidesKeppelCorporation
 
8447779800, Low rate Call girls in Tughlakabad Delhi NCR
8447779800, Low rate Call girls in Tughlakabad Delhi NCR8447779800, Low rate Call girls in Tughlakabad Delhi NCR
8447779800, Low rate Call girls in Tughlakabad Delhi NCRashishs7044
 
The-Ethical-issues-ghhhhhhhhjof-Byjus.pptx
The-Ethical-issues-ghhhhhhhhjof-Byjus.pptxThe-Ethical-issues-ghhhhhhhhjof-Byjus.pptx
The-Ethical-issues-ghhhhhhhhjof-Byjus.pptxmbikashkanyari
 
PSCC - Capability Statement Presentation
PSCC - Capability Statement PresentationPSCC - Capability Statement Presentation
PSCC - Capability Statement PresentationAnamaria Contreras
 
Buy gmail accounts.pdf Buy Old Gmail Accounts
Buy gmail accounts.pdf Buy Old Gmail AccountsBuy gmail accounts.pdf Buy Old Gmail Accounts
Buy gmail accounts.pdf Buy Old Gmail AccountsBuy Verified Accounts
 
International Business Environments and Operations 16th Global Edition test b...
International Business Environments and Operations 16th Global Edition test b...International Business Environments and Operations 16th Global Edition test b...
International Business Environments and Operations 16th Global Edition test b...ssuserf63bd7
 
Digital Transformation in the PLM domain - distrib.pdf
Digital Transformation in the PLM domain - distrib.pdfDigital Transformation in the PLM domain - distrib.pdf
Digital Transformation in the PLM domain - distrib.pdfJos Voskuil
 
Traction part 2 - EOS Model JAX Bridges.
Traction part 2 - EOS Model JAX Bridges.Traction part 2 - EOS Model JAX Bridges.
Traction part 2 - EOS Model JAX Bridges.Anamaria Contreras
 
Independent Call Girls Andheri Nightlaila 9967584737
Independent Call Girls Andheri Nightlaila 9967584737Independent Call Girls Andheri Nightlaila 9967584737
Independent Call Girls Andheri Nightlaila 9967584737Riya Pathan
 
8447779800, Low rate Call girls in Rohini Delhi NCR
8447779800, Low rate Call girls in Rohini Delhi NCR8447779800, Low rate Call girls in Rohini Delhi NCR
8447779800, Low rate Call girls in Rohini Delhi NCRashishs7044
 
Ten Organizational Design Models to align structure and operations to busines...
Ten Organizational Design Models to align structure and operations to busines...Ten Organizational Design Models to align structure and operations to busines...
Ten Organizational Design Models to align structure and operations to busines...Seta Wicaksana
 
Guide Complete Set of Residential Architectural Drawings PDF
Guide Complete Set of Residential Architectural Drawings PDFGuide Complete Set of Residential Architectural Drawings PDF
Guide Complete Set of Residential Architectural Drawings PDFChandresh Chudasama
 
Organizational Structure Running A Successful Business
Organizational Structure Running A Successful BusinessOrganizational Structure Running A Successful Business
Organizational Structure Running A Successful BusinessSeta Wicaksana
 
APRIL2024_UKRAINE_xml_0000000000000 .pdf
APRIL2024_UKRAINE_xml_0000000000000 .pdfAPRIL2024_UKRAINE_xml_0000000000000 .pdf
APRIL2024_UKRAINE_xml_0000000000000 .pdfRbc Rbcua
 
Financial-Statement-Analysis-of-Coca-cola-Company.pptx
Financial-Statement-Analysis-of-Coca-cola-Company.pptxFinancial-Statement-Analysis-of-Coca-cola-Company.pptx
Financial-Statement-Analysis-of-Coca-cola-Company.pptxsaniyaimamuddin
 
NewBase 19 April 2024 Energy News issue - 1717 by Khaled Al Awadi.pdf
NewBase  19 April  2024  Energy News issue - 1717 by Khaled Al Awadi.pdfNewBase  19 April  2024  Energy News issue - 1717 by Khaled Al Awadi.pdf
NewBase 19 April 2024 Energy News issue - 1717 by Khaled Al Awadi.pdfKhaled Al Awadi
 

Kürzlich hochgeladen (20)

Cyber Security Training in Office Environment
Cyber Security Training in Office EnvironmentCyber Security Training in Office Environment
Cyber Security Training in Office Environment
 
Annual General Meeting Presentation Slides
Annual General Meeting Presentation SlidesAnnual General Meeting Presentation Slides
Annual General Meeting Presentation Slides
 
8447779800, Low rate Call girls in Tughlakabad Delhi NCR
8447779800, Low rate Call girls in Tughlakabad Delhi NCR8447779800, Low rate Call girls in Tughlakabad Delhi NCR
8447779800, Low rate Call girls in Tughlakabad Delhi NCR
 
Call Us ➥9319373153▻Call Girls In North Goa
Call Us ➥9319373153▻Call Girls In North GoaCall Us ➥9319373153▻Call Girls In North Goa
Call Us ➥9319373153▻Call Girls In North Goa
 
The-Ethical-issues-ghhhhhhhhjof-Byjus.pptx
The-Ethical-issues-ghhhhhhhhjof-Byjus.pptxThe-Ethical-issues-ghhhhhhhhjof-Byjus.pptx
The-Ethical-issues-ghhhhhhhhjof-Byjus.pptx
 
PSCC - Capability Statement Presentation
PSCC - Capability Statement PresentationPSCC - Capability Statement Presentation
PSCC - Capability Statement Presentation
 
Buy gmail accounts.pdf Buy Old Gmail Accounts
Buy gmail accounts.pdf Buy Old Gmail AccountsBuy gmail accounts.pdf Buy Old Gmail Accounts
Buy gmail accounts.pdf Buy Old Gmail Accounts
 
International Business Environments and Operations 16th Global Edition test b...
International Business Environments and Operations 16th Global Edition test b...International Business Environments and Operations 16th Global Edition test b...
International Business Environments and Operations 16th Global Edition test b...
 
Digital Transformation in the PLM domain - distrib.pdf
Digital Transformation in the PLM domain - distrib.pdfDigital Transformation in the PLM domain - distrib.pdf
Digital Transformation in the PLM domain - distrib.pdf
 
Traction part 2 - EOS Model JAX Bridges.
Traction part 2 - EOS Model JAX Bridges.Traction part 2 - EOS Model JAX Bridges.
Traction part 2 - EOS Model JAX Bridges.
 
Independent Call Girls Andheri Nightlaila 9967584737
Independent Call Girls Andheri Nightlaila 9967584737Independent Call Girls Andheri Nightlaila 9967584737
Independent Call Girls Andheri Nightlaila 9967584737
 
8447779800, Low rate Call girls in Rohini Delhi NCR
8447779800, Low rate Call girls in Rohini Delhi NCR8447779800, Low rate Call girls in Rohini Delhi NCR
8447779800, Low rate Call girls in Rohini Delhi NCR
 
Ten Organizational Design Models to align structure and operations to busines...
Ten Organizational Design Models to align structure and operations to busines...Ten Organizational Design Models to align structure and operations to busines...
Ten Organizational Design Models to align structure and operations to busines...
 
Guide Complete Set of Residential Architectural Drawings PDF
Guide Complete Set of Residential Architectural Drawings PDFGuide Complete Set of Residential Architectural Drawings PDF
Guide Complete Set of Residential Architectural Drawings PDF
 
Corporate Profile 47Billion Information Technology
Corporate Profile 47Billion Information TechnologyCorporate Profile 47Billion Information Technology
Corporate Profile 47Billion Information Technology
 
Japan IT Week 2024 Brochure by 47Billion (English)
Japan IT Week 2024 Brochure by 47Billion (English)Japan IT Week 2024 Brochure by 47Billion (English)
Japan IT Week 2024 Brochure by 47Billion (English)
 
Organizational Structure Running A Successful Business
Organizational Structure Running A Successful BusinessOrganizational Structure Running A Successful Business
Organizational Structure Running A Successful Business
 
APRIL2024_UKRAINE_xml_0000000000000 .pdf
APRIL2024_UKRAINE_xml_0000000000000 .pdfAPRIL2024_UKRAINE_xml_0000000000000 .pdf
APRIL2024_UKRAINE_xml_0000000000000 .pdf
 
Financial-Statement-Analysis-of-Coca-cola-Company.pptx
Financial-Statement-Analysis-of-Coca-cola-Company.pptxFinancial-Statement-Analysis-of-Coca-cola-Company.pptx
Financial-Statement-Analysis-of-Coca-cola-Company.pptx
 
NewBase 19 April 2024 Energy News issue - 1717 by Khaled Al Awadi.pdf
NewBase  19 April  2024  Energy News issue - 1717 by Khaled Al Awadi.pdfNewBase  19 April  2024  Energy News issue - 1717 by Khaled Al Awadi.pdf
NewBase 19 April 2024 Energy News issue - 1717 by Khaled Al Awadi.pdf
 

FUNDAMENTAL ACOUSTICS AND WIND TURBINE NOISE ISSUES

  • 1. FUNDAMENTAL ACOUSTICS AND WIND TURBINE NOISE ISSUES Prof. Gopu R. Potty, Ph.D. Department of Ocean Engineering University of Rhode Island Narragansett, RI 02882 potty@egr.uri.edu
  • 2. Major Task Develop general guidelines on allowable sound level thresholds and appropriate setbacks
  • 3. Outline • Acoustic fundamentals • Wind turbine as a noise source • Review of noise regulations
  • 4. Sound Waves Sound is a pressure wave Intensity is the average amount of sound power transmitted Sounds have different frequencies through a unit area in a Human hearing: 20 Hz to 20 kHz specified direction. The unit of Less than 20 Hz - infrasound intensity is watts per square meter.
  • 5. Decibel •The decibel (dB) is a logarithmic comparison of intensities. •Named for Alexander Graham Bell ⎧ Acoustic Intensity ⎫ Level = 10 log ⎨ ⎬ ⎩ Reference Intensity ⎭ Reference acoustic intensity = 1x10 −12 W/m 2
  • 7. Adding decibels • Let’s say we had 3 sources of sound at 70, 80  and 90 dB each, what is the total level?  • We need to convert the individual levels into  raw intensities and add them • The sum thus calculated (expressed in dB) in  this case is 90.5 dB Two turbines produce 3 dB more than one turbine
  • 8. Sound Pressure Level (SPL) SPL= 20 log Pressure of an acoustic signal reference pressure The units of L are dB relative to the reference pressure. The reference pressure is 20 micropascals based on hearing tests of 16 million men in WW2. This corresponds to an Intensity of 1x10-12 W/m2.
  • 9. Source Level SL (Rogers et al., 2006) SL is defined to be 20 log Pressure of source at 1 m reference pressure The units of SL are dB relative to Reference pressure of 20 micropascals at 1 meter. SL referenced at 1 meter Quantifies the strength of the source !!!!
  • 10. Acoustics at a distance • We can predict the sound pressure level of an  acoustic signal at a distance. L = SL - TL L = Sound Pressure Level SL = Source Level TL = Transmission Loss Nascar fans in the front row are exposed to more intense sound than the fans in back row due to transmission loss.
  • 11. Transmission Loss • Transmission Loss TL (aka  propagation loss) describes  the weakening of sound  between a point 1 meter  from the source and a point  at a distance r meters.  • It is the ratio of intensity at  any range ‘r’ to intensity at 1  (Rogers et al., 2006) m  Intensity at r meters TL = -10 log Intensity at 1 meter
  • 12. Transmission Loss Components Absorption coefft. • Geometrical spreading expressed in dB/km or • Absorption dB/m • Scattering Absorption a function of – Volumetric scattering, turbulence • Temperature • Humidity – Groundcover, trees, structures • Frequency • Total loss = Geometrical Spreading +Absorption  +Scattering
  • 13. Geometrical Spreading:  Spherical Weakening of the acoustic intensity due to spreading Related to the surface areas of spheres (or hemi-spheres) at two ranges. Doubling the distance to the turbine reduces the SPL by 6dB
  • 14. Closer is Usually Louder Nascar car with a source level of 130 dB at 10 meters, the level would be 110 dB at 100 meters, the level would be 90 dB
  • 15. The Hearing Threshold Curve From: Yost The range of human hearing is generally considered to be 20 Hz to 20 kHz, but it is far more sensitive to sounds between 1 kHz and 4 kHz. Listeners can detect sounds as low as 0 dB SPL at 3 kHz, but require 40 dB SPL at 60 hertz (an amplitude increase of 100)
  • 16. A and C Weightings • A weighting filters out the low frequencies  and slightly emphasizes the upper middle  frequencies around 2‐3 kHz. By comparison C  weighting is almost unweighted, or no  filtering at all. • As a general rule, C weighting is used for  protection against very intense sounds while  A weighting is used for less intense sounds  and predicts annoyance fairly well. http://www.e-a-r.com/pdf/hearingcons/FAQdba.pdf
  • 17. Wind Noise Wind turbines differ in several respects from other sources of community noises Modern wind turbines mainly emit noise from turbulence at the trailing edge of the rotor blades. The turbine sound power level varies with the wind speed at hub height. The sound is amplitude modulated with the rotation rate of the rotor blades, due to the variation in wind speed with height and the reduction in wind speed near the tower. Amplitude-modulated sound is more easily perceived than is constant-level sound and has been found to be more annoying Sound that occurs unpredictably and uncontrollably is more annoying than other sounds
  • 18. Wind Noise Wind turbines are tall and highly visible, often being placed in open, rural areas with low levels of background sound. Consequently, wind turbines are sometimes regarded as visible and audible intruders in otherwise unspoiled environments. Furthermore, the moving rotor blades draw attention, possibly enhancing the perception of sound in a multi-modal effect
  • 19. Wind Turbine Noise Sources The sources of noise emitted from operating wind turbines can be divided into two categories: • mechanical and • aerodynamic. The primary sources of mechanical noise are the gearbox and the generator. The highest contributor to the total sound power from a turbine is the aerodynamic noise, which is produced by the flow of air over the blades.
  • 20. Portsmouth Wind Turbine (July/Aug 2009) Measured at a distance of 65 meters. Units are dB re 20 μPa2 in a 1/3-octave band
  • 21. Portsmouth Wind Turbine Science Fair Project (Chitanya Gopu- SK High) At 0.5 km (Heather Rhodes) Trial 1 Trial 2: Trial 3: Trial 4: Trial 5: Trial 6: 11/30 11/30 11/30 11/30 12/01 6:50 AM 10:31 3:30 8:30 5:30 59.27 59.30 59.40 59.12 59.36 59.41 AM PM PM AM 56.7 54.4 54.7 51.3 49.2 Simple hemispherical propagation model 100 90 80 B 70 SPL dBA 60 50 40 30 20 A 0 100 200 300 400 500 600 700 800 900 1000 distance from tower (m) sound of the traffic from Rt. 24 was dominant !!!!
  • 22. Vestas V‐52 850 kW Wind Turbine;  10 m/s wind speed; 80 m from the turbine (Leventhal) tonals Level (dB) Frequency (Hz)
  • 23. Low Frequency Noise • Low frequency noise (20‐100 Hz)  and infrasound (less than 20 Hz)  are issues that are frequently  raised as concerns associated with  wind farm developments • Usually G‐weighted • Perceived a mixture of tactile and  auditory sensations • Threshold of hearing at 10 Hz very  high (~100 dB G) Sources for low-frequency noise are either • Low frequency noise generation is  of a natural origin, such as air turbulence generally confined to turbines  wind, thunder, ocean waves, volcanic whose rotors operate downwind  eruptions, and earthquakes or of human origin such as heating, ventilation, air- of the support tower – a  conditioning systems, machinery, cars, downwind machine. trucks, airplanes, and loudspeaker systems
  • 24. Infrasound Measurements Note the high background noise level below 5 Hz 10 dB From: Jorgen Jakobsen, journal of Low Frequency Noise, Vibration and Active Control, 24(3), 2005
  • 26. ‘Swish’ Noise • Swish‐swish sound is  amplitude modulation at  blade passing frequencies of  higher frequency blade tip  turbulence  • Does not contain low  frequencies • Diminishes with distance • Blurs with multiple turbines Time
  • 27. Noise Varies with Wind Speed Note the higher noise levels at low wind speeds Downwind at 34.5 meters
  • 28. Wind Noise Regulations Most international and various states in USA set a base noise level for low wind speeds. Many regulations specify a night time level of 35 dBA in a rural location. To prevent the adverse impacts from the increased noise of wind turbine generators at high wind conditions, the increased noise levels must also be compared to the corresponding background noise at any location of interest. For example some codes specify that the wind farm noise doesn’t exceed the background noise by more than 5 dBA at higher wind speeds.
  • 29. Typical Guidelines for Pure Tones A pure tone is defined to exist if the 1/3rd octave band sound pressure level in the band, including the tone, exceeds the arithmetic average of the two contiguous 1/3 octave bands by •5 dBA for center frequencies of 500 Hz and above •8 dBA for center frequencies between 160 Hz and 400 Hz •15 dBA for center frequencies less than or equal to 125 Hz Most of the codes penalize tonals. For example, Huron County, MI, specifies that when steady pure tone is present, the standard for audible noise shall be reduced by 5 dBA.
  • 30. ISO 1996-1971 guidelines Lower night time limits !!! Gabrielson, Acoustic Today, 2006 A temperature increase (an “inversion”) with altitude often occurs at night and this causes sound to be refracted downward On an expedition to Venezuela in 1899, Baron von Humboldt observed much better sound transmission from a waterfall on the Orinoco River at night than during the day !!.
  • 33. Denmark Lp= Sound Pressure level
  • 34. Massachusetts Dept. Env. Protection Criteria A noise source will be considered in violation  if the source results in: • An increase in the broadband sound pressure  level of more than 10 dBA above ambient or • Pure tone condition: when any octave band  level exceeds two adjacent band levels by 3  dB
  • 35. Study Plan • Make repeated sound level measurements using sound level meter (during day and night) near existing turbines in RI. • Compare this to sound level models • Make ambient sound measurements at locations of interest. • Develop a weight to reflect noise considerations which can be incorporated into TDI calculations • Develop general guidelines on allowable sound level thresholds
  • 36. Dose-Response Relationship Studies Dutch and Swedish studies (Pedersen et al., J. Acoust. Soc. Am., Vol. 126, No. 2, August 2009 Need to account  LDEN dB(A) for perception !!! Annoyance towards wind turbine sound is enhanced by the •high visibility of the noise source, •swishing quality of the sound, •its unpredictable occurrence, •continuation of the sound at night.
  • 37. Questions Audio: winds 20-30 mph, 50 ft tower, 50 ft from tower, wind slows down then speeds up
  • 39. Perception of Sound from Wind Turbines Annoyance towards wind turbine sound is enhanced by the •high visibility of the noise source, •swishing quality of the sound, •its unpredictable occurrence, •continuation of the sound at night.
  • 40. Perception of Sound from Wind Turbines Annoyance was highest in what was classified as built-up area (mostly small towns and villages) Could be interpreted as an effect of place attachment In this view, new technical devices being deemed not beneficial for the living environment induce a negative reaction . This theory cannot, however, be confirmed from the present data set.
  • 41. Perception of Sound from Wind Turbines Annoyance was found to be significantly higher in the Dutch study in the 35–40-dBA interval. The perceived difference could be due to the larger wind turbines included in the Dutch study.
  • 42. Perception of Sound from Wind Turbines Noise from wind turbines was found to be more annoying than other sources. Percentage of people annoyed lies between noise from aircraft and from shunting yards. Like aircraft, wind turbines are elevated sound sources visible from afar and hence intrude both visually and aurally into private space Wind turbine noise (like shunting yard noise) ceases at night
  • 43. Background Wind Noise •Masks wind turbine noise •Increases with wind speed •Typical levels 30-45 dBA wind speed (m/s)
  • 45. Directivity (Wei Jun Zhu) Single turbine at the center Receiver positions range from 60 to 200 m Wind direction
  • 46. Summary of Infrasound Measurements From: Jorgen Jakobsen, journal of Low Frequency Noise, Vibration and Active Control, 24(3), 2005
  • 47. Air Absorption of Sound Absorption coefft. expressed in dB/km Absorption a function of • Temperature • Humidity • Frequency Harris, Handbook of Acoustical Measurements and Noise Control, 1998.
  • 48. Auditory Perception • A 1 dB change in SPL is below the level of  human perception • For a sound to double in loudness, an increase  of 10 dB is required • A 3 dB change in SPL level is minimum level of  human perception (it is just barely noticeable) • An SPL of 140 dB is the threshold of pain From: Acoustic Analysis Dartmouth DPW Wind Project (Atlantic Design Engineers, LLC)