(d) Shadowing pattern-IV

Based on the different methodologies and placement of integer numbers, these are responsible for developing the game puzzle with shade dispersion capability as shown in Figure 14a–e. With the consideration of nonuniform shade profiles from minimum to maximum irradiance ranges such as 300 W/m2, 535 W/m2 and 840 W/m2, a comprehensive study was carried out with conventional and game-theory-based configurations. The shading pattern appears to be building a corner shading on the PV array system.


:P :P :P

**Figure 14.** (**a**–**e**) Shade profiles based on the reconfigured PV array.

Equations (24)–(26) give a theoretical evaluation of the generated row-wise current for the typical SP configuration. Table 5 depicts the theoretical current assessment of other game-theory-based PV array systems.

$$I\_{l1} = I\_{l2} = I\_{l3} = I\_{l4} = \begin{pmatrix} \frac{840}{1000} \end{pmatrix} I\_{lt} + \begin{pmatrix} \frac{840}{1000} \end{pmatrix} I\_{lt} + \begin{pmatrix} \frac{840}{1000} \end{pmatrix} I\_{lt} + \begin{pmatrix} \frac{840}{1000} \end{pmatrix} I\_{lt} + \begin{pmatrix} \frac{840}{1000} \end{pmatrix} I\_{lt} \\\ + \begin{pmatrix} \frac{840}{1000} \end{pmatrix} I\_{lt} = 5.04 I\_{l0} \end{pmatrix} \tag{24}$$

$$I\_{r5} = \begin{pmatrix} \frac{840}{1000} \end{pmatrix} I\_{m} + \begin{pmatrix} \frac{535}{1000} \end{pmatrix} I\_{m} + \begin{pmatrix} \frac{535}{1000} \end{pmatrix} I\_{m} + \begin{pmatrix} \frac{535}{1000} \end{pmatrix} I\_{m} + \begin{pmatrix} \frac{535}{1000} \end{pmatrix} I\_{m} \\\ + \begin{pmatrix} \frac{535}{1000} \end{pmatrix} I\_{m} = \mathbf{3.51} I\_{m} \end{pmatrix} \tag{25}$$

$$I\_{r6} = \begin{pmatrix} \frac{200}{1000} \end{pmatrix} I\_m + \begin{pmatrix} \frac{200}{1000} \end{pmatrix} I\_m + \begin{pmatrix} \frac{200}{1000} \end{pmatrix} I\_m + \begin{pmatrix} \frac{200}{1000} \end{pmatrix} I\_m + \begin{pmatrix} \frac{535}{1000} \end{pmatrix} I\_m + \\\ + \begin{pmatrix} \frac{535}{1000} \end{pmatrix} I\_m = 1.87 I\_m \end{pmatrix} \tag{26}$$

**Table 5.** Theoretical assessment: PV performance under shading pattern-IV.



**Table 5.** *Cont.*
