Modeling of PV/TPV devices using analytical solution of generalized Shockley – Queisser model

The generalized Shockley-Queisser (gSQ) model takes into account the frequency dependent absorption (emission), photon trapping and recycling, photocarriers multiplication, and nonradiative recombination processes. Exact analytical solution of gSQ model allows one to present the conversion efficiency and other photovoltaic (PV) and thermophotovoltaic (TPV) characteristics in convenient form via the Lambert W function, which is well approximated by logarithmic functions [1]. Analytical equations for useful energy, emission losses, thermal losses and optimal photocarrier collection time provide effective, convenient, and flexible tool for modeling of modern devices with effective photon trapping and recycling. We discuss analysis of experimental characteristics and optimization of PV/TPV devices based on gSQ solution. [1] Sergeev and Sablon, Exact Solution, Endoreversible Thermodynamics, and Kinetics of the Generalized Shockley-Queisser Model, Phys. Rev. Appl. 2018.