Mathematical modelling of using renewable energy in the power sectors for the sustainable environment

Year 2024, , 216 - 237, 30.06.2024

Md. Sirajul Islam , Mst. Shefali Khatun , Md. Haider Ali Biswas

https://doi.org/10.53391/mmnsa.1446574

Abstract

Currently, human-caused greenhouse gas emissions are one of the main causes of global warming. Burning fossil fuels (such as coal, oil, and gas) have become a climate change due to the uptake of heat-trapping gases. A lot of $CO_2$ is produced from this, which helps in the creation of greenhouse gases. On the other hand, global electricity demand has been rising for decades, such to rising populations, increasing industrialization, and higher incomes. The power sector is the biggest source of carbon dioxide emissions because of fossil fuel, the main source of energy used for power generation all over the world that’s why climate change as well as increased global warming. Therefore, most countries have set targets for the use of renewable energy (RE) to reduce their electricity and need for energy and carbon emissions. In this study, RE is used to keep the environment sustainable, where the system of ODEs has been formed using different types of parameters to analyze the mathematical structure of four variables associated with RE. Positivity test, stability analysis, and bifurcation analysis are examined to prove the truth for the sustainability of the environment. The model plays a special role in increasing electricity production and reducing greenhouse gases in the environment. This study emphasizes the significance of employing RE in the power sector for environmental sustainability.

Keywords

Renewable Energy, Environmental Sustainability, Logistic Model, Bifurcation Analysis

Ethical Statement

This work is original and has not been published elsewhere nor is it currently under consideration for publication elsewhere.

References

• [1] UNFCCC, The Paris Agreement, (2015). https://unfccc.int/process-and-meetings/the-paris-agreement/
• [2] EW, Nutrition, A Guide to International Sustainability Regulations, (2023). https://ew-nutrition. com/guide-sustainability-regulations/
• [3] World Economic Forum, Decarbonization of the Power Sector is Underway Power Sector Emissions may have Peaked in 2022 as Wind and Solar Reached Record Heights, (2023). https://www.weforum. org/agenda/2023/04/
• [4] Reuters (Nina C.), Wind and Solar Hit Record 12\% of Global Power Generation Last Year, (2023). https://www.reuters.com/business/energy/wind-solar-hit-record-12-global-power-generation-last-year-2023-04-11/
• [5] Karmaker, A.K., Rahman, M.M., Hossain, M.A. and Ahmed, M.R. Exploration and corrective measures of greenhouse gas emission from fossil fuel power stations for Bangladesh. Journal of Cleaner Production, 244, 118645, (2020).
• [6] Martínez, A.P., Jara-Alvear, J., Andrade, R.J. and Icaza, D. Sustainable development indicators for electric power generation companies in Ecuador: a case study. Utilities Policy, 81, 101493, (2023).
• [7] Amponsah, N.Y., Troldborg, M., Kington, B., Aalders, I. and Hough, R.L. Greenhouse gas emissions from renewable energy sources: a review of lifecycle considerations. Renewable and Sustainable Energy Reviews, 39, 461–475, (2014).
• [8] Chu, B., Duncan, S., Papachristodoulou, A. and Hepburn, C. Analysis and control design of sustainable policies for greenhouse gas emissions. Applied Thermal Engineering, 53(2), 420–431, (2013).
• [9] Liu, B., Xiao, H., Yang, P. and Cai, Z. Influence of the DC frequency limit controller on the frequency characteristics of the multi-area asynchronous interconnected power grid with renewable energy integration. Frontiers in Energy Research, 12, 1392285, (2024).
• [10] Ji, Y., Zhang, J., Li, S., Deng, Y. and Mu, Y. Electric vehicles acceptance capacity evaluation in distribution network considering photovoltaics access. Energy Reports, 9, 602–608, (2023).
• [11] Karmaker, A.K., Ahmed, M.R., Hossain, M.A. and Sikder, M.M. Feasibility assessment & design of hybrid renewable energy based electric vehicle charging station in Bangladesh. Sustainable Cities and Society, 39, 189–202, (2018).
• [12] Kobashi, T., Choi, Y., Hirano, Y., Yamagata, Y. and Say, K. Rapid rise of decarbonization potentials of photovoltaics plus electric vehicles in residential houses over commercial districts. Applied Energy, 306, 118142, (2022).
• [13] Abdullah-Al-Mahbub, M. and Islam, A.R.M.T. Current status of running renewable energy in Bangladesh and future prospect: a global comparison. Heliyon, 9(3), e14308, (2023).
• [14] Hassan, M.A., Bailek, N., Bouchouicha, K., Ibrahim, A., Jamil, B., Kuriqi, A. et al. Evaluation of energy extraction of PV systems affected by environmental factors under real outdoor conditions. Theoretical and Applied Climatology, 150, 715–729, (2022).
• [15] Umair, M. and Yousuf, M.U. Evaluating the symmetric and asymmetric effects of fossil fuel energy consumption and international capital flows on environmental sustainability: a case of South Asia. Environmental Science and Pollution Research, 30, 33992–34008, (2022).
• [16] Biswas, M.H.A., Dey, P.R., Islam, M.S. and Mandal, S. Mathematical model applied to green building concept for sustainable cities under climate change. Journal of Contemporary Urban Affairs, 6(1), 36–50, (2021).
• [17] Kabeyi, M.J.B. and Olanrewaju, O.A. Sustainable energy transition for renewable and low carbon grid electricity generation and supply. Frontiers in Energy Research, 9, 743114, (2022).
• [18] EPA, Inventory of U.S. Greenhouse Gas Emissions and Sinks, (2017). https://www.epa.gov/ ghgemissions/inventory-us-greenhouse-gas-emissions-and-sinks/
• [19] Mandal, S., Islam, M.S. and Biswas, M.H.A. Modeling the potential impact of climate change on living beings near coastal areas. Modeling Earth Systems and Environment, 7, 1783–1796, (2020).
• [20] Sekerci, Y. and Petrovskii, S. Mathematical modelling of plankton–oxygen dynamics under the climate change. Bulletin of Mathematical Biology, 77, 2325–2353, (2015).
• [21] Elum, Z.A. and Momodu, A.S. Climate change mitigation and renewable energy for sustainable development in Nigeria: a discourse approach. Renewable and Sustainable Energy Reviews, 76, 72–80, (2017).
• [22] Ledley, T.S., Sundquist, E.T., Schwartz, S.E., Hall, D.K., Fellows, J.D. and Killeen, T.L. Climate change and greenhouse gases. Eos, Transactions American Geophysical Union, 80(39), 453–458, (1999).
• [23] US EPA, Household Carbon Footprint Calculator, (2016). https://www.epa.gov/ghgemissions/ household-carbon-footprint-calculator/
• [24] Ahmed, S., Islam, M.T., Karim, M.A. and Karim, N.M. Exploitation of renewable energy for sustainable development and overcoming power crisis in Bangladesh. Renewable Energy, 72, 223–235, (2014).
• [25] The UN Climate Change Conference, (2023). https://unfccc.int/
• [26] WWEA, WWEA Annual Report 2022, (2023). https://wwindea.org/wwea-annual-report-2022
• [27] Islam, R., Islam, M.M., Islam, M.N., Islam, M.N., Sen, S. and Faisal, R.K. Climate change adaptation strategies: a prospect toward crop modelling and food security management. Modeling Earth Systems and Environment, 6, 769–777, (2020).
• [28] Dym, C.L. Principles of Mathematical Modeling. Elsevier Academic Press: Amsterdam, (2004).