A mathematical model of an off-grid hybrid energy system utilizing the reversible solid oxide fuel cell

The current energy transition focuses on decentralizing energy systems by implementing alternative energy sources. Integrating distributed energy sources into functional hybrid energy systems has proven to be a difficult task. To solve this problem, it is important to conduct an in-depth analysis of the energy system through the preparation of a mathematical model. The study aims to model and simulate the operation of an off-grid self-sustainable energy storage system for single-family household use by utilizing solid oxide technology. The proposed system consists of photovoltaic modules and an energy storage system including batteries, reversible solid oxide fuel cells, and hydrogen storage tanks. To integrate these energy resources into one system, an energy management system, in which the solid oxide stack is used as a backup generator or a hydrogen production device, is implemented. Finally, a numerical simulation of the system's operation is run to estimate the system's performance over a one-year time period. The prepared model can find many practical applications, such as optimizing system costs, environmental impact, or the energy management system.