(c) Shadowing pattern-III

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 13a–e. With the consideration of nonuniform shade profiles from minimum to maximum irradiance ranges such as 400 W/m2, 800 W/m2 and 900 W/m2, a comprehensive study was carried out with conventional and game-theory-based configurations. Furthermore, the game-theory-based reconfigurable methodologies are beneficial in terms of higher GMPP under shading profiles.


**Figure 13.** (**a**–**e**) Shade dispersion profiles for the pattern-III.

The theoretical row-wise current generated by the usual SP design is expressed in Equations (21)–(23). Table 4 depicts the theoretical current assessment of other game-theorybased PV array systems.

$$I\_{r1} = I\_{r2} = I\_{r3} = \begin{pmatrix} \frac{900}{1000} \end{pmatrix} I\_{m} + \begin{pmatrix} \frac{900}{1000} \end{pmatrix} I\_{m} + \begin{pmatrix} \frac{900}{1000} \end{pmatrix} I\_{m} + \begin{pmatrix} \frac{900}{1000} \end{pmatrix} I\_{m} + \begin{pmatrix} \frac{900}{1000} \end{pmatrix} I\_{m} + \\\ I\_{\lfloor \frac{900}{1000} \rfloor} I\_{m} = 5.4 I\_{m} \end{pmatrix} \tag{21}$$

$$I\_{r4} = \begin{pmatrix} \frac{800}{1000} \end{pmatrix} I\_m + \begin{pmatrix} \frac{800}{1000} \end{pmatrix} I\_m + \begin{pmatrix} \frac{900}{1000} \end{pmatrix} I\_m + \begin{pmatrix} \frac{900}{1000} \end{pmatrix} I\_m + \begin{pmatrix} \frac{900}{1000} \end{pmatrix} I\_m + \\\begin{pmatrix} \frac{900}{1000} \end{pmatrix} I\_m = 5.2 I\_m$$

$$I\_{r5} = I\_{r6} = \begin{pmatrix} \frac{800}{1000} \end{pmatrix} I\_{\mathcal{m}} + \begin{pmatrix} \frac{800}{1000} \end{pmatrix} I\_{\mathcal{m}} + \begin{pmatrix} \frac{400}{1000} \end{pmatrix} I\_{\mathcal{m}} + \begin{pmatrix} \frac{400}{1000} \end{pmatrix} I\_{\mathcal{m}} + \begin{pmatrix} \frac{400}{1000} \end{pmatrix} I\_{\mathcal{m}} + \begin{pmatrix} \frac{400}{1000} \end{pmatrix} I\_{\mathcal{m}} \\ \begin{pmatrix} \frac{400}{1000} \end{pmatrix} I\_{\mathcal{m}} = 3.2 I\_{\mathcal{m}} \end{pmatrix} \tag{23}$$


