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Clean energy is the core element of China's energy low-carbon transition strategy, and its development degree is closely link with science and technology innovation and higher education. Based on studying relevant research and analyzing data and information, we selected 11 primary indicators, such as investment in education, transformation of scientific research results, and clean energy development, and 30 secondary indicators, such as R&D investment intensity, number of patents granted for inventions, clean energy power generation, clean energy installed capacity, and clean energy consumption share, to construct an indicator evaluation system. Based on the actual data of three systems from periods 2010 to 2020, we try to use entropy weight method to calculate index weights, use coupled coordination model to calculate coupling coordination degree of three systems, and use gray correlation analysis method to in-depth analysis interaction relationships between three systems. Based on the research, we try to propose 3 countermeasures and recommendations. We hope that the research results of this paper will provide a new research method and ideas for related studies and make positive contributions to the high-quality development of China's economy and the realization of the energy transition strategy. [ABSTRACT FROM AUTHOR]