In this paper, a new decomposing strategy is proposed to solve the power flow problem in the large-scale Multi-Energy Carrier (MEC) systems, including gas, electrical and heating sub-networks. This strategy has been equipped with a novel non-iterative method named Holomorphic Embedding (HE) to solve the energy flow of the electrical sub-network. Moreover, it benefits from the less-computational graph method for solving the energy flows of the heating sub-network. The HE method unlike initial-guess iterative methods guarantees to find power flow solution if there is a solution. In addition, it finds only the operational power flow solution without concern about the convergence of the solution. In the proposed strategy, the decomposing method decouples various energy flows of subnetworks without losing the major benefits of the simultaneous analysis of the sub-networks and losing accuracy. Moreover, the proposed decomposing strategy has more reliability and faster than the Newton-Raphson technique. In order to demonstrate the efficiency and superiority of the proposed decomposing strategy on solving the large-scale MEC systems, the strategy is tested on three large-scale multi-energy carrier case studies.

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