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Abstract The formation of integrated energy systems is a result of the decentralization of power generation, the expansion and increasing capacity of renewable energy sources, and the implementation of Smart Grid technologies. A distinctive feature of such systems is the integrated use of electricity, gas, and heat within a single infrastructure with intelligent control. In these systems, electricity generated by various types of power plants, including both renewable and conventional sources, is transmitted through a common network to consumers. One of the promising consumers in integrated energy systems is an electrolyzer, which is used for hydrogen production and can also participate in power balancing within such systems. In the context of decarbonization, it is important to determine whether the electricity consumed by the electrolyzer meets the criteria of lowcarbon energy, as this directly affects the classification of the produced hydrogen as “green”. This paper proposes a mathematical model for determining the guaranteed origin of electricity consumed by an electrolyzer in an integrated energy system. The model is based on a matrix method for determining power flows in the branches of an electrical network and on the use of current distribution coefficients in network branches originating from nodes with renewable energy sources and node voltages. This approach makes it possible to determine the contribution of each generation node, particularly renewable energy sources, to the supply of a specific consumer. The proposed method enables the quantitative assessment of the share of renewable electricity used in hydrogen production and provides a physically justified basis for confirming its “green” status. Key words: Integrated energy system, guarantees of origin of electricity, green hydrogen.
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