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Analyse af solafskærmninger mht. termiske og ... - Viden om vinduer

Analyse af solafskærmninger mht. termiske og ... - Viden om vinduer

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ange if min 1 if 2<br />

max 0<br />

max ( )<br />

min ( )<br />

The fraction not covered is given by fra( ). This is the part to be included in the<br />

extrapolation (fra( ) svarer til de skraverede <strong>om</strong>råder på figur d.1.e.).<br />

fra 1 range<br />

Next we need to define the function that extrapolates the measured data. Any type of<br />

function can be used, the only restriction is that it must be a function of only. Here we<br />

give two examples.<br />

When fitting the data in the Excel sheet containing the output of AXUM_NEW.exe, it<br />

should be remembered that the values of the optical property at given , are expressed in<br />

terms of units per sr, where is the solid angle defined by the resolution of the<br />

detector head (half angle 0.5°). The solid angle is given by<br />

2<br />

0.5 deg<br />

sin<br />

0 deg<br />

d 2.3924 10 4<br />

Example of a linear extrapolation<br />

As an example, we choose a linear extrapolation, starting at 1, where the value of the<br />

optical property is R per sr, to 0, beyond which the value of the optical property is 0.<br />

In finding the optimal straight line, 1 must be chosen so that there are enough data points<br />

for 1 to get a good estimate of the best fit. As the extrapolation only covers values of<br />

greater than min , setting 1 = min to obtain the best fit straight line through the data<br />

for > min is probably the optimal choice. However, this is not essential, a value of 0 <<br />

min can be chosen, as the equations given below allow for this.<br />

In this example, for a scan with<br />

25° to fit the line.<br />

= = 25° (i.e. min = 25°), we used the data for<br />

Input the extrapolation function and its parameters: (De indsatte værdier findes i filen<br />

blisax.exl på den vedlagte cd-r<strong>om</strong>)<br />

0 47.984deg R<br />

F if 1 0 R 0<br />

0 1 0<br />

4.009510 5<br />

27<br />

1d<br />

sr<br />

1 25 deg R 0.1676<br />

The estimated contribution fr<strong>om</strong> parts of the hemisphere not covered in the scan is Z

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