Mathematical Modeling Application in Energy Conversion and Energy Storage

Year 2022, , 67 - 79, 31.08.2022

Nagihan Delibaş , Seyyedreza Hosseini , Aligholi Niaie

https://doi.org/10.33187/jmsm.1126076

Abstract

The use of mathematical modeling to predict and investigate the effect of process variables in the research and engineering field of energy conversion and energy storage has also received special attention from scientists and industrial designers in this field due to their importance in the global economy. This review article investigates the applications of mathematical modeling and simulation in energy conversion and energy storage processes, and finally, with a case study, the application of mathematical modeling in the desired processes to be tested and compared with the reported results in the papers. In the first part, the main emphasis is on energy conversion, especially on the structure of solar cells and fuel cells and mathematical modeling methods, and predicting the effect of operating variables on their performance. The basic principles of modeling solar cells and fuel cells to understand the relationships governing the current, voltage, performance, and power of PV modules are to be discussed. And with a case study, modeling of the process to estimate the performance of PV modules and SOFC in various conditions has been investigated. In the second part, the main focus is on the mathematical modeling of energy storage devices including batteries and supercapacitors. Supercapacitors and batteries are electrochemical energy storage devices that can be charged within a few seconds to a few minutes. This efficient energy storage is based on the electrocatalytic effect of the electrode with a high surface area. The mathematical equations governing the battery and supercapacitor are discussed in the article, and battery and supercapacitor performance are to be simulated as a case study. Due to the Multiphysics nature of energy conversion and storage systems, the simulation is performed in two stages. In the first step, the semiconductor equations are applied and the electrical response of the electrochemical device is modeled. In the second step, if needed, the thermal equations can be entered into the main calculations and the net amount of heat and the temperature profile in the desired device is evaluated. The main goals and ideas of compiling this review article are expressing the importance and role of electrochemical and electrocatalysts in energy production and storage processes and paying attention to the governing mechanism and mathematical equations and highlighting important and common models used in different parts of energy conversion and storage in a coherent article.

Keywords

Battery, Fuel cell, Mathematical modeling, Simulation, Solar cell, Supercapacitor

Supporting Institution

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Project Number

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Thanks

The authors would like to thank the university of Sakarya and the University of Tabriz for their collaboration in the present work.

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