A dye-sensitized solar cell model implementable in electrical circuit simulators

• A mathematical model for DSCs using an electrical circuit analogy is proposed.
• The model is implementable in electrical engineering circuit simulation software.
• The model can be then used for electronic power converter design.
• Model based on 1-dimensional spatial discretization using finite difference methods.
• Very good agreement between modeling and experimental results.

The main goal of the present work is to provide a mathematical model of Dye-Sensitized Solar Cells (DSCs) that can be implemented in electrical engineering circuit simulation software, such as PSIM, for using in electronic power converter design. Consequently, a new circuit modeling approach is presented, able to solve the standard continuity and transport governing equations defined for the involved mobile species: electrons in the TiO2 conduction band and ions in the electrolyte. Starting from the partial differential continuity equations of the phenomenological DSC model, it was developed a one-dimensional spatial discretization using Finite Difference Methods (FD) followed by a solution using an electrical circuit analogy. The resulting circuits were then implemented in PSIM software and simulated. Simulation results using this new electrical analog approach showed excellent matching when compared to FORTRAN numerical solutions, as well as when compared to experimental data. Moreover, the electrical analog can be used for transient and steady state cases, giving information about the main factors and the relevant kinetic parameters that influence DSCs’ performance. Finally, it enables to relate the phenomenological behavior with other electrical approaches, such as Electrochemical Impedance Spectroscopy (EIS) and diode based models.