\(q\frac{V_{M}+I\left(V\right)\times R_{L}}{\text{kT\ \ }n_{\text{av}}\text{\ \ N}}=Ln\left[\frac{I\left(V\right)-I_{\text{PH}}}{\prod_{i=1}^{N}{I_{0,i}}^{\frac{n_{i}}{n_{\text{av}}\text{\ N}}}\ }\right]\) (4)