Parameter Modelling

PV Production

In Meteonorm, the parameter "PV production" is calculated using Ross's method 1, for a well-maintained, medium-sized crystalline silicon module and an efficient inverter. The calculation is based on the irradiance, ambient temperature, and a few constants.

The module temperature in °C is calculated using the Ross temperature coefficient that describes how much the module's operating temperature rises above ambient temperature per unit of solar irradiance:

Tmodule=Ta+cRGTI  ,T_{module} = Ta + c_R \cdot GTI \;,

where

  • TaTa is the air temperature in °C,
  • cR=0.03c_R = 0.03 is the Ross temperature coefficient in KW/m2\frac{K}{W/m^2} , and
  • GTIGTI is the Global Tilted Irradiance in W/m².

From the module temperature we derive an efficiency factor (the hotter the module, the lower its power output)

tC=1(Tmodule25)α  ,t_C = 1 - (T_{module} - 25) \cdot \alpha \;,

where α=0.005\alpha = 0.005 1/K is an efficiency coefficient.

Finally, with a fixed performance ratio r=0.82r=0.82, we compute the PV production in W/kWp (power output relative to installed capacity):

PV=GTIrtCPV = GTI \cdot r \cdot t_C

Because PVPV is relative to the installed capacity, module efficiency need not be taken into account.

The performance ratio rr is a dimensionless metric that indicates how efficiently a PV installation converts available solar energy to usable electricity, compared to what an ideal system would produce under Standard Test Conditions STC 2. Example: If a 10 kWp system receives 1 000 kWh/m² of irradiance in a year, the ideal yield would be 10 000 kWh. If it actually produces 8 000 kWh, the performance ratio would be 0.8. What reduces rr from 1.0: inverter and wiring losses, soiling, temperature losses (modules running hotter than STC 25°C).

To better reflect the temperature-dependent fluctuations in the modules’ efficiency over the course of the day and year, Meteonorm uses a relatively optimistic (constant) performance ratio of 0.82 and calculates the temperature dependence separately using the tCt_C formula above.

Footnotes

  1. Ross, R.G. Interface design considerations for terrestrial solar cell modules. In Proceedings of the IEEE Photovoltaic Specialists Conference, Baton Rouge, LA, USA, 15 November 1976; pp. 801–806.

  2. Standard Test Conditions STC are standardised laboratory conditions under which PV modules are rated and compared. The conditions include:
    (Tilted) irradiance on module: 1 000 W/m²
    Module temperature: 25 °C
    Air mass: 1.5

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