Energy flow calculation (EFC) plays an important role in steady-state analysis of multi-energy systems (MESs). However, the independent management of sub-energy systems (subsystems) poses a considerable challenge to solve the high-order nonlinear energy flow model due to the limited information exchange between these subsystems. In this article, a fixed-point based distributed method is proposed for EFC in an electricity-gas-heating system. Firstly, the mathematical modeling of each subsystem with coupling units is introduced. Then, two information exchange structures among subsystems are presented as sequential and parallel structures. Based on the fixed-point theorem, novel distributed sequential and parallel methods for EFC are proposed to calculate energy flow distribution in MESs. In our proposed method, the EFC in subsystems is implemented by the individual system operators, with limited information exchange between subsystems. Therefore, the information privacy of subsystems can be preserved in this solution process. Moreover, the convergence of the proposed method is guaranteed, and the sufficient conditions for the convergence are presented. Lastly, simulations on a MES demonstrate the effectiveness of the proposed method and the quantified superiority over the existing methods in computation time, accuracy and reliability.

中文翻译：

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多能量系统中基于定点的分布式能量流计算方法

能量流计算（EFC）在多能量系统（MES）的稳态分析中起着重要作用。然而，由于这些子系统之间有限的信息交换，子能量系统（子系统）的独立管理对解决高阶非线性能量流模型提出了相当大的挑战。本文提出了一种基于定点的分布式方法，用于电煤气加热系统中的EFC。首先，介绍了每个带有耦合单元的子系统的数学模型。然后，介绍了子系统之间的两种信息交换结构，分别是顺序结构和并行结构。基于不动点定理，提出了一种新的EFC分布式顺序和并行方法，用于计算MESs中的能量流分布。在我们提出的方法中 子系统中的EFC由各个系统操作员实施，子系统之间的信息交换有限。因此，在此解决方案过程中可以保留子系统的信息隐私。此外，可以保证所提方法的收敛性，并给出了收敛的充分条件。最后，在MES上的仿真证明了所提方法的有效性以及在计算时间，准确性和可靠性方面优于现有方法的量化优势。