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Temperature and single-diode model

Cell temperature: Faiman model

The cell temperature determines how much the power drops in hot hours:

T_cell = T_ambient + G / ( u_c + u_v · v_wind )

with G = effective irradiance on the plane (W/m²), v = wind speed (m/s), and:

Coefficient Default value Meaning
u_c 25,0 W/(m²·K) Losses through radiation and natural convection
u_v 6,84 W·s/(m³·K) Forced convection by the wind

These are the Faiman (2008) / IEC 61853 values for modules on a ventilated roof. The module absorptivity is implicit: it is not multiplied again. Both can be changed in Advanced settings: lower values of u_c and u_v (poorly ventilated, roof-integrated modules) give higher temperature and more loss.

Module power: single-diode model

The module is represented by the single-diode equivalent circuit with the PVsyst parameterisation (implemented with pvlib): a current source (photocurrent), a diode, a series resistance R_s and a shunt resistance R_sh that depends on irradiance. For each hour the maximum power point (MPP) is calculated with the effective irradiance and the cell temperature.

Parameter Meaning
Number of cells in series –
R_s Series resistance
R_sh,ref and R_sh,0 Shunt resistance at 1,000 W/m² and at zero irradiance
γ Diode ideality factor
α_sc Isc temperature coefficient (A/°C)
μ_γ Variation of the ideality factor with temperature
R_sh exponent 5.5 by default

The parameters come from the manufacturer's .PAN file or are estimated from the datasheet: the saturation current is fitted so that Voc(STC) matches the datasheet, and μ_γ so that the model reproduces the declared Pmax temperature coefficient.

What this gains

Compared with the classic empirical model (linear loss with temperature + Huld correction), the single-diode model:

  • reproduces both the irradiance effect and the temperature effect,
  • also gives the maximum power point voltage of each hour, which is used in the inverter and in the cable losses,
  • allows the module's I-V and P-V curves to be drawn.

Separation in the waterfall

The power is split into three factors for the loss waterfall:

P = P_STC(G) · low_irradiance_factor(G, 25 °C) · thermal_ratio(G, T_cell)

Validation

With a 445 W module (Jinko JKM445N, PVsyst parameters) and three cases in Cordovilla (Navarre), the annual DC energy is within +0.10 %, +0.16 % and +0.26 % of PVsyst. See Validation and limits.

Alternative mode

In Advanced settings you can choose the empirical Huld + temperature coefficient model instead of the single-diode one. It is less accurate but does not need circuit parameters.

Is something missing or wrong? Write to us at hola@radiaris.com. Last reviewed: 26 October 2026.