Irreversible thermodynamics and the ZT figure of merit for thermophotovoltaics
Yoichiro Tsurimaki and Shanhui Fan
Phys. Rev. Applied 22, 044023 (2024) - Published 9 October, 2024
Thermoelectrics and thermophotovoltaics are promising solid-state systems for power generation. They convert heat directly into electricity via the Seebeck effect and photovoltaic effect, respectively. Due to their different physical principles and operation conditions, these technologies are almost always discussed separately in the literature. In this work, using the theoretical framework of irreversible thermodynamics that has been commonly applied in the discussions for thermoelectrics, we analyze thermophotovoltaics under small temperature differences and demonstrate the mathematical equivalence of the maximum efficiency expressions for thermoelectrics and thermophotovoltaics. As a result, we define a dimensionless figure of merit of thermophotovoltaics , analogous to the well-known thermoelectric figure of merit . We theoretically and numerically discuss the ideal operation under which approaches infinity and the conversion efficiency reaches the Carnot limit. Our numerical studies on thin-film thermophotovoltaic systems show that can be significantly greater than one at room temperature in the radiative limit. However, we also demonstrate that nonradiative recombination processes significantly reduce . By accurately incorporating the temperature dependence of short-circuit current and radiative heat transfer, we derive an expression of the maximum efficiency with an engineering figure of merit , which predicts maximum efficiency at larger temperature differences within the linear current–voltage regime. Finally, we compare the efficiency of thermophotovoltaic systems with linear and nonlinear current–voltage curves and highlight that thermophotovoltaics greatly benefit from the nonlinearity in achieving higher efficiency. Our work achieves a unified treatment and, hence, a direct comparison of the two energy conversion technologies in the linear response regime, while emphasizing distinct differences in the nonlinear regime.


