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Collector Efficiency
MAG solar collector is a device that absorbs solar energy from the sun and converts it into usable heat energy.The heat is normally absorbed by water, or a freeze resistant water mix, which can be used to supplement hot water heating, space heating.
Solar water heater performance is often presented as a graph, or set of three performance variables. Values may be provided based on gross area, aperture area or absorber area. In Europe, aperture or absorber is often used, in the US, gross area is often used. It doesn't really matter which values is used, as long as you use the correct value. ie. Don't use absorber area when using performance values based on gross area.
To adjust from one to the other, multiply by the size difference.
ie. Absorber area = 0.6m2, gross area = 1.1m2. If performance variables are provided for gross area, multiply by 1.83 (1.1/0.6 = 1.83) to obtain absorber area values. The smaller the area used, the higher the performance variable values.
The three performance variables for the solar collector as provided by the SPF testing laboratory in Switzerland (SPF report C632LPEN) are as follows (for metric calculations - absorber area):
Conversion Factor: h 0 = 0.717
Loss Coefficient: a1 = 1.52 W/(m2 K)
Loss Coefficient: a2 = 0.0085 W/(m2 K2 )
As well as the three performance variables shown above, insolation level (G) in Watts/m2 , ambient temperatures (Ta) and average manifold temperature (Tm) must be know. These values give the value x , also sometimes presented as T*m, used in the formula below. ?
(other slightly different forms of this formula are used, but provide the same result)
How to use the formula?
Based on the ambient temperature, average manifold temperature and insolation level firstly calculate the value for x.
Eg. At 2:00pm, the ambient temperature is 25o C (77o F), and the average water temp [(Tin +Tex )/2] is 50o C (122o F). The insolation level is 800Watts/m2 (252Btu/ft2 ).
x = (50-25)/800 = 0.03125
Now enter all the values into the formula:
h(x) = 0.717 - (1.52*0.03125) - (0.0085*800*0.031252 )
h(x) = 0.717 - 0.0475 - 0.0066 = 0.663
The solar conversion efficiency for that specific point in time and set of environmental conditions is 66.3%. That is: 66.3% of the energy provided by the sun is actually used to heat the water.
Based on the assumption that those three environmental factors (G, Tm and Ta) are stable for a period of one hour, then 800 x 0.663 = 530.4 Watts of energy per m2 of absorber area will be used to heat the water (168Btu/ft2 )
530.4Watts is equivalent to 456kcal, which could heat 100L of water by 4.56o C (20 Gallons by 10.9o F)?Below is a graph showing the performance curves for the solar collector at three different insolation levels, from 0 to 80o C Delta-T. In most cases the Delta-T values will be in the range of 20-50o C, with higher values present for high temperature heating such a for absorption cooling applications, or during very cold weather. As can be seen conversion efficiency is highly dependent on solar insolation levels, with higher insolation yielding greater levels of solar conversion.
Delta T(Tm-Ta)
In reality ambient temperature will fluctuate, and the manifold temperature will gradually increase as the water is heated. Furthermore insolation levels may fluctuate with intermittent cloud cover. In order to more accurately calculate energy output per day/month/year a more complete set of environmental data must be considered and many (hourly) performance calculations throughout the day taken. Your local?distributor can provide estimates of average monthly and annual performance, heat output and thus solar contribution for your location.
One factor which is not considered in the straight performance calculations outlined above, is the affect of transversal IAM values (Incidence Angle Modifier) on solar collector output throughout the day. Please read the following section to learn more about IAM.
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