Environmental Engineering Reference
In-Depth Information
Figure 9-20. Theoretical interference zone around a HAWT, expressed in radial coor-
dinates. The modulation index is 0.15, the receiver antenna is beamed at the transmitter, and
the probability of exceedance is set at 1 percent. [Spera and Sengupta 1994]
Darrieus VAWT Interference Zones
Referring again to Equations (9-26), we see that Equations (9-29) can be modified to
define a Darrieus VAWT interference zone by replacing h S with 0.8h M and D with the
blade chord c . Thus, the interference zone around a Darrieus VAWT is much smaller than
that around a HAWT of the same diameter, by a factor approximately equal to 4 c/D.
Interference Zones Around a HAWT Wind Power Station
To estimate the size of the interference zone around a wind power station composed
of many turbines, we first divide the station into M clusters, each containing N turbines.
The turbines within a cluster are assumed to be operating in synchronism and their scatter
ratios are additive, in accordance with Equation (9-26h). Therefore, a reasonable value of
N is ten or less. However, we will assume that the cluster scatter ratios add in a random
or root-sum-square fashion, which leads to the following equations:
M
i -1
F A , W cos 2 ( k f RT )
(z/ D ) 2
h
S NF E
2
| E PS , D |
| E R , D |
(9-3la)
m R =
i
k = 0.5
f or the Backward Zone
(9-3lb)
k = 2.0
f or the Forward Zone
M
i -1
1
M
| E PS , D | =
| E C , D | i
(9-3lc)
where
| E PS, D | = average amplitude of the direct signal incident on the station (mV/m)
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