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In recent years, as a promising option to improve the overall efficiency of energy utilization and absorptive capacity of renewable energies, the integrated energy system (IES) has raised great interest in academies and industries. Multi-energy flow (MF) calculation, which differs from the traditional power flow calculation, plays a basic role in analyzing IES. MF calculation based on Newton-Raphson method has been proposed in literature, but its calculation efficiency is not high. In this paper, a fast decoupled MF (FDMF) calculation method for IES is proposed. Its main idea is to replace the original Jacobian matrix of MF calculation based on Newton-Raphson method with a diagonal and constant Jacobian matrix by the transformation. The simulations demonstrate that the proposed FDMF method can increase the calculation efficiency by at least 4 times with high calculation accuracy.

• A multi-energy flow calculation model based on energy cell theory is established. • A distributed parallel computing method is proposed for multiple energy cells. • Virtual nodes are connected to boundary, and information exchange is realized through boundary nodes and virtual nodes. • The influence of the location and number of boundary nodes on calculation accuracy and efficiency is discussed. • The proposed method has better computation efficiency than traditional methods. To deal with the deep penetration of renewable energy in the power grid and energy coupling in the distribution and consumption part, improve energy efficiency, and construct the regional integrated energy system (IES) with multiple self-sufficient cells, energy cell has attracted widespread interest. However, the different management systems, diversified energy features, and information barriers increase the difficulties of unified energy flow calculation of IES. Based on the theory, this paper proposes a parallel distributed computing method for multi-region IES with electricity network being considered as a dividing surface. First of all, the basic principle of energy cell is proposed and the large-scale IES is divided into several energy cells according to the energy balance ability and geographic location. Then virtual nodes are added at the boundaries of the energy cells and the adjustment factors are introduced to ensure system convergence. Moreover, the extended Jacobian matrix was constructed to calculate muti-energy flow (MEF) in a single energy cell and decoupled energy cells can be computed in parallel through the limited information exchange of virtual nodes. Finally, two cases are utilized to verify the performances of the proposed energy method. Comparing with the integrated method and the decomposed method, the proposed method in this paper has better abilities in calculation efficiency and accuracy. [ABSTRACT FROM AUTHOR]