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A simple first-principles mathematical model is developed to predict theperformance of a micro photosynthetic power cell ($\mu$PSC), an electrochemicaldevice which generates electricity by harnessing electrons from photosynthesisin the presence of light. A lumped parameter approach is used to develop amodel in which the electrochemical kinetic rate constants and diffusion effectsare lumped into a single characteristic rate constant $K$. A non-parametricestimation of $K$ for the $\mu$PSC is performed by minimizing the sum squareerrors (SSE) between the experimental and model predicted current and voltages.The developed model is validated by comparing the model predicted $v-i$characteristics with experimental data not used in the parameter estimation.Sensitivity analysis of the design parameters and the operational parametersreveal interesting insights for performance enhancement. Analysis of the modelalso suggests that there are two different operating regimes that are observedin this $\mu$PSC. This modeling approach can be used in other designs of$\mu$PSCs for performance enhancement studies.

Integrated bio-electrochemical model for a micro photosynthetic power cell