Robust optimal design method for photovoltaic cells

A robust optimal design method for photovoltaic cells, which is characterized that it comprises the following steps:

• Step 1:
• Take the material parameters of photovoltaic components as design variable x and the temperature and radiation intensity in the actual working environment as design parameter z, and the specific distribution is as shown in Table 1:
• TABLE 1
• Distribution of Design Variables and Parameters of Photovoltaic Cells
• Parameter
• Mean
• Standard
• Name
• Identification
• Unit
• Distribution Type
• Value
• Deviation
• R
• x1
• Ω
• Normal Distribution
• [0.286, 0.656]
• 9.596 × 10−3
• R
• x2
• Ω
• Normal Distribution
• [802.24, 1602.24]
• 22.2298
• C
• x3
• mA/C
• Normal Distribution
• [0.0059, 0.0061]
• 1.2 × 10−3
• n
• x4
• /
• Normal Distribution
• [1.18, 1.6]
• 0.03
• S
• z1
• W/m2
• Normal Distribution
• 600
• 8
• T
• z2
• K
• Normal Distribution
• 303.15
• 6.063
• indicates data missing or illegible when filed
• take the maximum output power of photovoltaic cells as optimization objective and theoretical efficiency of the studied cell as constrained performance function to establish the deterministic optimal model as follows:
• find x1 x2 x3 x4 Max P(x,z)
• s·t·g(x,z)=η(x,z)−0.159≤0
• 0.286≤x1≤0 0.656, 802.24≤x2≤1602.24
• 0.0059≤x3≤0.0061, 1.18≤x4≤1.6
• solve the deterministic optimal model by Monte Carlo method to obtain the maximum output power value Pmax of the optimization objective and its corresponding design variable value x={x1,x2,x3,x4};
• Step 2:
• Take the design variable value obtained from deterministic optimization as the initial point of the mean value of robust optimal design variable (μx′={x1, x2, x3, x4}), and then obtain the robust optimal model based on the mean value and standard deviation after conversion, which is expressed as follows:
• Find μx1 μx2 μx3 μx4
• Min
• ⁢
• σ
• P
• ⁡
• (
• x
• ,
• z
• )
• μ
• P
• ⁡
• (
• x
• ,
• z
• )
• s·t·G(x,z)=μg(x,z)≤0
• 0.286≤μx1≤0.656, 802.24≤μx2≤1602.24
• 0.0059≤μx3≤0.0061, 1.18≤μx4≤1.6
• Step 3:
• Solve the robust optimal model by Monte Carlo method to obtain the mean value μx={μx1,μx2,μx3,μx4}, of design variables, and then select the corresponding materials and manufacturing techniques of photovoltaic components according to the obtained μx, so as to achieve robust optimal design for photovoltaic cells.