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