Research Article

Exergetic Optimization of a Solar Photovoltaic Array

Table 1

Climatic, operating and design parameters of PV array [22, 35].

Solar PV module parametersValue in validationValue in optimization

PV module typeSiemens SM55,Siemens SM55,
monocrystalline siliconmonocrystalline silicon
Number of modules in series per string, 𝑁 π‘š 2From optimization
Number of strings, 𝑁 𝑠 6From optimization
The solar radiation intensity at the reference conditions, 𝐺 r e f 1 0 0 0 W / m 2 1 0 0 0 W / m 2
The solar radiation intensity, 𝐺 From experimental data 7 0 0 W / m 2
The ambient temperature, 𝑇 a m b From experimental data300 K
The ambient temperature at NOCT conditions, 𝑇 a m b , N O C T 293.15 K293.15 K
The cell temperature at the reference conditions, 𝑇 c e l l , r e f 298.15 K298.15 K
The nominal operating cell temperature, 𝑇 c e l l , N O C T 318.15 K318.15 K
The PV array temperature, 𝑇 c e l l (14)From optimization
The sun temperature, 𝑇 s u n 5760 K5760 K
Wind speed, 𝑉 𝑀 0.5 m/s0.5 m/s
The short-circuit current at the reference conditions, 𝐼 s c , r e f 𝑁 𝑠 Γ— 3 . 4 5 A 𝑁 𝑠 Γ— 3 . 4 5 A
(for total array)(for total array)
The open-circuit voltage at the reference conditions, 𝑉 o c , r e f 𝑁 π‘š Γ— 2 1 . 7 V 𝑁 π‘š Γ— 2 1 . 7 V
(for total array)(for total array)
Maximum power point current at the reference conditions, 𝐼 m p , r e f 𝑁 𝑠 Γ— 3 . 1 5 A 𝑁 𝑠 Γ— 3 . 1 5 A
(for total array)(for total array)
Maximum power point voltage at the reference conditions, 𝑉 m p , r e f 𝑁 π‘š Γ— 1 7 . 4 V 𝑁 π‘š Γ— 1 7 . 4 V
(for total array)(for total array)
The electrical efficiency at the reference conditions, πœ‚ e l , r e f 0.120.12
The current temperature coefficient, 𝛼 1 . 2 m A / ∘ C 1 . 2 m A / ∘ C
The voltage temperature coefficient, 𝛽 βˆ’ 0 . 0 7 7 V / ∘ C βˆ’ 0 . 0 7 7 V / ∘ C
The efficiency correction coefficient for temperature, 𝛾 r e f 0 . 0 0 4 ∘ C βˆ’ 1 0 . 0 0 4 ∘ C βˆ’ 1
The semiconductor band gap energy, πœ€ 1.12 eV1.12 eV
The effective product of transmittance–absorptance, ( 𝜏 𝛼 ) 0.90.9
The PV array emissivity, πœ€ 𝑔 0.880.88
The length of solar module, 𝐿 1 1 . 2 9 3 m 1 . 2 9 3 m
The width of solar module, 𝐿 2 0 . 3 2 9 m 0 . 3 2 9 m
Time interval, Ξ” 𝑑 900 seconds3600 seconds