SimPV Theory

In SimPV an estimate of the yield from a building integrated PV system is calculated for a given location on the building model. Shadows striking the solar cells, which will reduce the yield to almost zero, are taken into account The yield is calculated as :

\[ Q_{p v} = \varepsilon_t \cdot \left( I_{diffuse} + I_{direct} \cdot \left(1 - \frac{A_{shadow,active}}{A_{p v, active}} \right) \cdot f \right) \cdot A_{p v}F_{eff} \tag{1} \]

where:

  • εt is the total efficiency (solar cells, converter, cable-losses etc.) in the solar cell system. The system efficiency can be obtained using SimDb from the materials part of the database in table 9.

  • Idiffuse is the diffuse solar power on the PV-array.

  • Idirect is the direct solar power on the PV-array.

  • f is a factor giving is a part of the face is shaded.

    • f = 1 if Ashadow ≤ 0 or Ashadow > 0 and PropShadRed (SimDb) = 1,

    • f = ShadEff if Ashadow > 0 and PropShadRed (SimDb) = 0.

  • Apv is the geometric area of the solar cell system, defined in SimView with Add PvArray [m²], inside Frame Dist.

  • Ashadow, active is the shaded area of Apv, active.

  • Apv is the total area of the solar cell system.

  • Fpv gives the active part (Active Area) of the area Apv [%] recalculated to a fraction.

Analouge to this, the nominal yield can be calculated as if no shading hits the area as:

\[ Q_{p v} = \varepsilon_t \cdot (I_{diffuse} + I_{direct}) \cdot A_{p v} \cdot F_{p v} \tag{2} \]

This result can be used to calculate the "performance ratio" which express how large a yield is possible from an area compared to the actual yield taking into account losses from shading etc. The calculations are made for each time-step and summarised to monthly values shown in a result log for each face with solar cells.

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