PV Datasheet
Power output tolerance = 0 ~ +5 W
Pmax STC = 425 W
γpmax = -0.35%/°C
Power degradation from 0 - 1 year = 2%
Real Operating Condition (ROC)
Gi = 992 Wm-2
Dirt = 1.5%
fshade = 0.94
This equation considers up to the PV array terminal only, excluding cable and inverter efficiency.
Pmax Maximum PV module power at ROC (W)
Pmax STC Maximum PV module power at STC (W)
fmm Power de-rate factor due to mismatch (decimal)
fdegrad Power degradation factor due to LID and aging (decimal)
ftemp p Power derating factor due to temperature (decimal)
fg Power derating factor due to irradiance (decimal)
fclean Power de-rate factor due to dirt (decimal)
fshade Shading factor (decimal)
Take worst case.
Convert to decimal if need
fmm = [ ( Pmax STC - Power tolerance(W) ) / Pmax STC] / 100%
fmm = [ 100% - Power tolerance(%) ] / 100%
fmm = [425-0] /425 = 1
Power Degradation can be found from PV module datasheet from keywords below
Power Warranty from 0 to 1 years
Linear warranty from 0 to 1 years
Minimum power output from year 1
2. General Formula
Since we only compare 0 to 1 year, so can be simplify to:
From question, PV modules have 1st year power drops of 2% and linearly drops of 0.8% per annum until 25th year.
fdegrad = 1 - ( 2% / 100 ) = 0.98
The formula is similar to ftemp_ave in Step 1 Choose PV Module >> 1.4 Calculate ftemp_ave
Tmod Temperature module at ROC (°C)
Obtain from Step 1 PV Device Temperature
TSTC STC temperature = 25°C
γpmax Temperature coefficient of maximum power
From Step 1 PV Device Temperature , Tmod = 68℃
fg = Gi /Gstc
Gi Solar irradiance under ROC condition (Wm-2)
Gstc Solar irradiance at STC ,1000 Wm-2
fg = 992/1000 = 0.992 Wm-2
fclean = (100 % - Dirt Loss %) /100
Dirt loss value is subjective in real life, around 3%-5%
fckean = (100-1.5) / 100 = 0.985
fshade = (100 % - Shading Loss %) /100
Shading loss may find through shading profile test in real life, refer to Step 3 Shading Profile.
fshade = 0.94 (Question Provided)
Fundamental of Solar Photovoltaics Technology - SEDA Malaysia- 3rd edition 2023
Example 5.3
Example 5.4
Example 5.7
SEDA GCPV Tutorial Fundamental - 28 Nov 2024
Photovoltaics Technology - Question 4
Photovoltaics Technology - Question 5