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Under the global goal of "carbon peaking and carbon neutrality", new power system is facing a new energy development trend of increasing the capacity of new energy and reducing the capacity and quantity of coal power. Furthermore, new power systems are also moving towards new models such as the Energy Internet and energy storage diversification. This paper combines the needs of new power systems' "source-load interaction" and a differentiated analysis of the specific carbon emission characteristics of each subject of the Energy Internet "source-network-load-storage". This paper analyzes the energy efficiency coefficient and carbon emission factors of each link of "source-grid-load-storage". Therefore, the paper proposes a carbon control model for the Energy Internet. This paper focuses on the characteristics of coal power with the largest carbon reduction. Therefore, this article constructs a multi-dimensional low-carbonization evaluation index system for coal-fired power plants. In addition, this article designs a fusion weight calculation method for subjective and objective indicators based on CRITIC-G1. Additionally, this paper uses the ideal solution–gray relational method to evaluate the specified samples. Finally, this article verifies the effectiveness and feasibility of the implementation of the low-carbonization evaluation index system for coal-fired power plants. [ABSTRACT FROM AUTHOR]