Consider a crystalline PV module with the following output parameters mentioned at STC (Standard Testing Condition) conditions by the manufacturer.
Pmax = 250W
Voc = 50V
Isc = 6A
NOCT = 40°C
Temperature coefficient of power = -1W/°C
a) If the ambient temperature falls to 0°C while the irradiance is 1000W/m², what is the cell level temperature in °C, as per the NOCT model?
b) What is the new power output of the PV module in Watts, under the ambient temperature of 0°C and 1000W/m² irradiance?
a) 25
b) 250
Njoy ;)
Any one know the answer?
Ken please help
a) To determine the cell level temperature (Tc) using the NOCT model, we can use the formula:
Tc = NOCT + ((Tamb - 20) / 80) * (Irradiance / Reference Irradiance)
Where:
- NOCT is the nominal operating cell temperature mentioned in the problem statement, which is 40°C.
- Tamb is the ambient temperature, which is 0°C.
- Irradiance is the solar irradiance, which is 1000W/m².
- Reference Irradiance is the Standard Testing Condition (STC) irradiance, which is typically 1000W/m².
Plugging in the values:
Tc = 40 + ((0 - 20) / 80) * (1000 / 1000)
Simplifying:
Tc = 40 + (-0.25) * 1
Tc = 40 - 0.25
Therefore, the cell level temperature under these conditions is 39.75°C.
b) To calculate the new power output of the PV module, we can use the temperature coefficient of power given in the problem statement and the formula:
Pnew = Pmax + ((Tc - Tref) * Tcoef)
Where:
- Pnew is the new power output.
- Pmax is the maximum power output mentioned in the problem statement, which is 250W.
- Tc is the cell level temperature we calculated in part a), which is 39.75°C.
- Tref is the reference temperature, which is typically 25°C.
- Tcoef is the temperature coefficient of power, which is -1W/°C.
Plugging in the values:
Pnew = 250 + ((39.75 - 25) * -1)
Simplifying:
Pnew = 250 + (14.75 * -1)
Pnew = 250 - 14.75
Therefore, the new power output of the PV module under the ambient temperature of 0°C and 1000W/m² irradiance is 235.25W.