Proper Characterization of Heat-to-Electric Conversion Efficiency of Liquid Thermogalvanic Cells

Abstract

Liquid thermogalvanic cells (LTCs) have emerged as a promising technology for harvesting low-grade heat due to their low cost, compact design, and high thermopower. However, discrepancies exist in quantifying their output power and efficiency. The commonly used figure of merit, ZT = S^2\sigma T/k, is based on electrolyte properties but fails to account for electrochemical reaction kinetics at the electrode interface that significantly impact performance and losses. This work establishes an experimental protocol for accurately characterizing LTC efficiency. We propose a device-level figure of merit, ZT = S^2T/RK , where R and K represent total internal resistance and thermal conductance. This formulation, derived by linearizing the Butler-Volmer relation, incorporates irreversible losses such as mass transfer and activation overpotential. Different methods for assessing LTC output power are examined, including linear sweeping voltammetry (LSV), constant resistance discharging, and constant current step discharging. LSV tends to overestimate power due to transient effects, while the latter two methods provide more accurate steady-state measurements. Additionally, heat conduction across LTCs is carefully analyzed, highlighting the significant impact of natural convection within electrolytes. Through rigorous experimental characterization, we demonstrate that the modified figure of merit is a proper efficiency indicator at the steady-state.