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First, the proton exchange membrane electrolytic cells model which considers mass transfer characteristics is established. Efficient hydrogen production operating parameters are obtained through simulation to maximize the P2H efficiency. Second, the HE-IES is established, including the hydrogen flow system, wind power (WP), energy storage systems, gas boiler, combined heat and power and methanation unit. Based on the characteristics of the devices and efficient hydrogen operating parameters, the optimal operation framework considering the P2H efficiency factor is proposed. To realize the low economic operating costs and maximize the utilization of WP, a multi-objective function based on fuzzy membership function solving is applied. Finally, the case studies show that the proposed operation framework reduces the economic operation cost by 28.29% and improves the WP utilization rate by 31.9%. <\/jats:p>","DOI":"10.1142\/s0218126625501087","type":"journal-article","created":{"date-parts":[[2024,10,1]],"date-time":"2024-10-01T04:36:27Z","timestamp":1727757387000},"source":"Crossref","is-referenced-by-count":1,"title":["Optimal Operation Framework of the Hydrogen-Electric Integrated Energy System by Considering the Power-to-Hydrogen Efficiency Factor"],"prefix":"10.1142","volume":"34","author":[{"given":"Yannan","family":"Dong","sequence":"first","affiliation":[{"name":"School of Electrical Engineering, Shenyang University of Technology, Shenyang 110870, P.\u00a0R.\u00a0China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Liu","family":"Gao","sequence":"additional","affiliation":[{"name":"School of Electrical Engineering, Shenyang University of Technology, Shenyang 110870, 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