L
P
(R) ¼ L
W
10 log
10
(2R
2
) ˜L
a
(9:20)
The correction ˜L
a
is for atmospheric absorption and can be calculated from
˜L
a
¼ RÆ where Æ is a coefficient for sound absorption in each octave band and R
is the distance to the turbi ne hub. An alternative approach is to use a similar
equation to (9.20) but with Æ as 0:005 dB=m (as suggested in the Danish Statutory
Order on Noise from Wi ndmills, 1991) and L
W
specified as a single, broadband
sound power level.
If there are several wind turbines which influence the sound pressure level the
individual contributions are calculated separately and summed using
L
1þ2þ::
¼ 10 log
10
(10
L
1
=10
þ 10
L
2
=10
þ ...)(9:21)
Interestingly, the IEA Appendix concludes with the remark that in tests on small
and medium sized wind turbines (55–300 kW), the noise levels predicted in this
way were in reasonable agreement with measured noise levels (deviations of A-
weighted sound pres sure levels generally within þ=2 dB) but that serious differ-
ences were found when the prediction was based on more detailed prediction
methods.
The IEA Method (1994) for determinin g sound pressure levels at a point is based
on hemispherical spreading with a correction for atmospheric absorption. The
assumption of hemispherical spreading gives a reduction of 6 dB per doub ling of
distance. Under some conditions, particularly downwind, this may be an optimistic
assumption and a reduction of 3 dB per doubling of distance is more realistic. The
IEA Method also ignores any effects of meteorological gradients (Wagner, Bareis
and Guidati, 1996). Under normal conditions, air temperature decreases with height
and so the sound speed will decrease with increasing height and cause the path of
the sound to curve upwards. However, under conditions of temperature inversion,
e.g., as might prevail on cold winter nights, the temperature increases with height
causing the sound to curve downwards. Wind speed will have a similar effect. In
the downwind direction the sound will be bent downwards while a shadow zone is
formed upwind. The effect of the upwind shadow zone is more pronounced at
higher frequencies.
A comprehensive study of noise propagation is reported in ETSU/W/13/00385/
REP (ETSU, 2000). The results of this study, which included field experiments,
support the concerns over the use of very complex models voiced by the IEA and
the study concluded that ‘... significant and consistent correlation only exists
between the sound pressure level and vector wind speed’. Hence the study
proposes that a rather straightforward spherical propagation model should be
assumed with additional terms included to account for directivi ty, air absorption,
and in some cases special topographical features between the source and the
converter.
A further IEA recommendation proposes how sound pressure level measure-
ments should be taken at dwellings and other potentially sensitive locations
(International Energy Agency, 1997). It is complimentary to International Energy
Agency (1994) which provided guidance on the measurement of the source power
of a wind turbine.
536 WIND TURBINE INSTALLATIONS AND WIND FARMS