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•The P+ and SDL models eliminate the recombination at the CdS-CIGS interface.•The SDL model electrical parameters are better optimized compared to the P+ model.•The P+ model has huge current-voltage distortion compared to the SDL model.•P+ and SDL models are beneficial in the design of CIGS solar cells.

Schematic representation and band diagram of two cells configuration at the equilibrium: (a) with SDL layer (conventional structure), (b) with P + layer (new structure).