Appendix B ______________________________________________________ Calculation Formulas 
 
VAISALA______________________________________________________________________ 281 
Scalar Wind Direction Average Method 
Wind direction average calculation using the Scalar method is based on 
the assumption that the source direction value does not differ more than 
180 from the previous average value. The previous average value is 
marked as 0 and the source values are scaled with respect to that point 
so that the result varies between -180 and 180. For example, if the 
previous average value was 10, a source value of 355 would be 
converted to -15. This method is also used when the wind direction 
maximum and minimum values are determined. 
WD
s
 = WD - WDA
prev
 (instant table)  (17) 
WD
s
 = WDAT - WDA
prev
 (calculated table)   
n
i
sis
nWDWDA
1
/)( 
 (18) 
WDA = WDA
s
 + WDA
prev
  (19) 
 
where 
WD  =  Wind direction instant value 
WDAT  =  Wind direction average stored to data table 
WD
s
  =  Wind direction instant value scaled with respect to the 
previous average value 
WDA
prev
  =  Previous wind direction average value, if defined; 
otherwise the first source value 
WDA
s
  =  Wind direction average value scaled with respect to the 
previous average value 
WDA  =  Wind direction average 
n  =  Number of wind direction source values 
 
Table 116  Inputs for Wind Calculation 
Input Sensor 
Wind speed Ws
i
 
See Table 3 on page 21 
Wind direction WD  See Table 3 on page 21