When calculating the heat output of a collector, the
IAM performance adjustment factor (K) should be included
in the efficiency formula.

The key difference to that formula presented
on the first
page of this section is the inclusion of the factor
K in front of the y-intercept value. The K value can also
include the longitudinal IAM factor, thus taking into
consideration the installed angle of the collector too.
This is achieved by simply multiplying the two IAM factors
to provide a complete IAM value.
If we continue with the example from
section 1:
Eg. At 2:40pm; transversal angle of
40o = IAM of 1.37; ambient temperature of 25oC
(77oF); average water temp [(Tinlet+Texit)/2]
of 50oC (122oF); insolation level
of 800Watts/m2 (252Btu/ft2).
x = (50-25)/800 = 0.03125
Now enter all the values into the efficiency
formula:
h(x) = 1.37*0.717 - (1.52*0.03125)
- (0.0085*800*0.031252)
h(x) = 0.98 - 0.0475 - 0.0066
= 0.926
The performance value calculated with
the above formula can then be used to calculate total
heat output:
Heat Output = Performance x Insolation
x Collector Surface Area
Example:
Performance @ 40o
angle= 92.6%
Insolation = 800 Watts/m2
Absorber Surface Area = 2.4m2
Heat Output = 0.926 x 800 x 2.4 = 1777Watts
So the collector will provide 1.77 kW of heat output.
How can the performance reach 92.6%?
Remember that the efficiency variables and therefore this
performance value is is expressed for absorber area, if
using gross surface area the % efficiency value would
be almost half this, but given the larger surface area
if using gross, the heat output is the same. It is possible
therefore for the % value to exceed 100% - it does not
mean that more heat is being produced that the sun is
providing, but rather due to reflection off neighbouring
tubes etc, the amount of light the absorber is exposed
to is greater than when the collector perpendicular to
the sunlight rays (midday).
The calculation completed above is only
for a specific point in time, and does not give an indication
of the the actual performance over an entire day. Using
performance modeling software, hour by hour calculations
can be made taking into consideration average daily temperature
changes, cold water temperatures, hours of sunlight, solar
insolation levels in addition to collector performance variables
and IAM values. Monthly and annual average performance values
may therefore be estimated.
To complete a simple single day calculation for the purpose
of comparing collector performance, an average IAM value can
be use, along with an average Watt/m2
value. Although this won't give a completely accurate indication
of the heat output for the day, it allows a comparison between
the two collector to be made.
As the majority of useful solar radiation falls during the
middle 6-7 hours of the day, an average of the IAM values
during this period can be used. If 1 hour corresponds to
15o
then 7 hours corresponds to 50o
either side of midday. The average
cosine adjusted IAM for the Apricus solar collector for
this period is 1.2, and a flat plate collector is 0.97.
These factors can therefore be used in the performance formula.
See the following section for more details.