PV array configuration = 2 x 21
Minimum module output voltage per MPPT = 32.88 V
Longest length of string cable = 8m
Longest length of array cable = 5m
Allowed voltage drop in string cable = 2%
Allowed voltage drop in array cable = 1%
Copper cable
Calculate minimum cross-sectional area of cable of string and array
Table 2 NZ1165 PV Module Specification at STC
Amin dc cable Minimum CSA of cable (mm²)
Ldc cable Length of the longest string/array cable (m)
Sometimes positive & negative wire length might not equal.
Idc Maximum possible operating current in cable (A)
ρ Resistivity of cable, assume copper if assumption not given (Ω mm² m⁻¹)
Copper = 1/56
Alumminium = 1/34
loss Maximum allowed voltgae drop / Maximum allowable voltage loss in string/array cable (decimal)
Vnom Nominal voltage (V)
This formula is for GCPV scenario, off-grid connection might be different.
IPmax STC Current at Maximum power of PV module at STC (A)
Np Total PV modules in portrait per string (units)
For string, since only 1 line connection, so Np is always 1. Parallel connection sharing same current according to Ohm's Law.
This formula is for GCPV scenario, off-grid connection might be different.
Vnom = VPmax min string * Ns
VPmax min string Minimum voltage of string at maximum power (V) or
Minimum voltage at maximum power for each module
Minimum module output voltage per MPPT
Step 3 Voltage >> Voltage at maximum power, VPmax when Tmod is maximum
Ns Total PV modules in series per string (units)
Example Calculation for Step 3 Voltage >> Voltage at maximum power, VPmax
fmm Vpmax = 1 (Assume since didn't provide)
βVpmax = -0.423 % C⁻¹
VPmax STC = 39.2V
Tmod = 63.11 ℃ (Assume since didn't provide)
From assumption, VPmax min string = 32.88 V
Vnom_string = 32.88 * 21= 690.48 V
Vnom_array = 32.88 * 21= 690.48 V
Cable size > Amin dc cable
The typical DC cable cross sectional area for PV systems commercially available and popularity used are 1.5mm²; 2.5 mm²; 4 mm²; 6 mm²; 10 mm²; 16 mm²
However, according to MS1837:2018, the minimum cross-sectional area is 2.5 mm².
2.5mm² cable size is selected for string and array cable.
Fundamental of Solar Photovoltaics Technology - SEDA Malaysia- 3rd edition 2023
Example 7.3
SEDA GCPV Tutorial Fundamental - 28 Nov 2024
Balance of System Components - Question 5
Balance of System Components - Question 8