Privacy-preserving non-iterative decentralized optimal energy flow for integrated hydrogen-electricity-heat system based on projection method

In this paper, a privacy-preserving non-iterative decentralized optimal energy flow for integrated hydrogen-electricity-heat system based on projection method is proposed. A centralized operation model of the integrated hydrogen-electricity-heat system is first established, which is further decomposed into hydrogen, electricity, and heat subproblems, respectively. The proposed projection method transforms the operation space of each subproblem into an equivalent projection space containing whole information of the original operation space. After the operation space transformation, the private information of each system is concealed, thus preserving the privacy of each system. The equivalent projection space of each subsystem constitutes the reformulated convex hull of the integrated energy system. By solving the optimization problem in the reformulated convex hull, the optimal solutions of coupling variables of the integrated energy system are obtained. The optimal solution of coupling variables is used to decompose the integrated energy system and reformulate the subproblem of each subsystem. Optimal energy flow of each subsystem is obtained by solving the reformulated subproblem. Iterations are avoided throughout the solution process of the proposed method, thus addressing various disadvantages of conventional decentralized methods, like poor computational performance and potential non-convergence. The economic performance of the proposed operation model and the computational performance of the proposed projection method were tested on a 6‐6-8 nodes system and a 40‐118-13 nodes system. The low cost and carbon emission of the proposed model and the accuracy, privacy preservation, simplification of model, and less computational time of the proposed method are verified.