| Summary: | Energy is an important basis for economic growth and social development and plays a vital role in the modern economic system. Due to the overuse and consumption of fossil fuels, and the overreliance of economic growth on fossil fuels, fossil fuels not only play an important role in the current economic system, it is also the main cause of environmental problems. The CO2 emissions from the combustion of fossil fuels account for 85% of the total emissions, and the greenhouse effect contributes 50% of all greenhouse gases, causing a serious greenhouse effect problem. It releases 45% of sulfur dioxide emissions and 35% of particulate matter into the atmosphere, causing severe acid rain pollution. If the power structure cannot be effectively repaired, the environmental pollution would increase. At present, energy development is faced with two major problems: resource scarcity and environmental pollution. In the 21st century, renewable energy has increasingly become the preferred strategy for energy development in many countries in the world due to its unique resources and environmental benefits. As technology improves and production costs decrease, renewable energy would greatly replace fossil fuels. Renewable energy is predicted by analyzing and comparing commonly used mathematical models using grey system theory, engineering statistical software, and relevant analysis principles. Theoretical and practical research in this field is essential due to the serious conflict between energy demand and environmental issues. Through experiments and algorithms, the application results of the mathematical model in the dynamic growth trend of renewable energy were obtained, and it can be concluded that the mathematical model analysis had a 24.8% improvement in the dynamic growth trend of renewable energy.
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