Environmental Engineering Reference
In-Depth Information
more complete data coverage. And if the data cover more than 1 year but not an
integer number of years, some calendar months may occur more often than others,
also possibly resulting in a bias in the estimated mean speed.
As an example, suppose the data record spans 14 months, with January and Febru-
ary appearing twice. If the winter months are typically the windiest, a simple average
of the wind speeds for the entire period will probably overestimate the true annual
average speed. Or suppose the period of record spans exactly 12 months, but half
the data in the winter months are lost because of icing. In that case, it is likely the
calculated mean speed will understate the true annual average.
The annualized mean wind speed attempts to correct for these problems. Note
that this is not the long-term historical mean speed, rather it is a seasonal correction
for the observed period of data. (The long-term adjustment process is explained in
Chapter 12.) The annualized mean can be estimated in a variety of ways but is usually
found by calculating, first, the mean for each calendar month in the record, and second,
the mean of the monthly means weighted by the number of days in each month. In
equation form,
1
N m
N m
12
12
1
365
1
365
v annual =
D m v m =
D m
v im
(10.4)
.
25
.
25
m
=
1
m
=
1
i
=
1
The outer sum is over the 12 calendar months, with D m being the average number
of days in month m (28.25 for February, counting leap years). The inner sum is over
those speeds that fall within a particular calendar month. The calculation is illustrated
in Table 10-2. Here, the data record spans 17 months, from January 2008 to May 2009,
with January through May repeated. The straight average of the speeds (taking into
Table 10-2. Sample monthly data record for a station, illustrating the difference
between period of record and annualized mean speeds
Month
No. of days in month
2008
2009
Average
January
31
8.94
8.68
8.81
February
28.25
8.35
7.37
7.86
March
31
7.63
8.13
7.88
April
30
6.79
7.00
6.90
May
31
6.56
6.85
6.71
June
30
6.58
6.58
July
31
5.81
5.81
August
31
6.25
6.25
September
30
7.50
7.50
October
31
7.85
7.85
November
30
8.26
8.26
December
31
8.36
8.36
Annualized average
7.39
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