…where\(I_{0,M}=\ \prod_{i=1}^{N}{I_{0,i}}^{\frac{n_{i}}{n_{\text{av}}\text{\ N}}}\text{\ \ }\), and we added the “-1” of equation 1 that we dropped in equations 2 to 4.
We therefore can conclude that no mix of ideality factorsn i and saturation currentsI 0,i will create the emergence of a term that appears like a shunt, nor as an intensity dependent shunt.
Similarly one can show for the voltage range where the exponential part of equation 1 does not dominate for any of the cells (and thus only their linear shunt terms dominate the current) that the moduleI -V curve is described by a shunt term that stems from the sum of all individual shunts R Sh,i: