Abstract As in alternative-current (AC) networks, the power flow (PF) task is the backbone of direct-current (DC) networks with the development of DC power system. In this paper, it proposes a loop-analysis theory based iterative power flow method for the low-voltage DC (LVDC) power grids. And further the linear power flow model via Taylor's series expansion has also been developed. Based on the node-branch incidence matrix, the relationship between the branch powers and node injection powers has been established. The formation of the proposed iterative method and its linear approximation are derived based on the branch powers rather than the injected currents. ZIP loads and V buses (multi-slack buses) have been taken into account. Simulation results verified the accuracy and speed of the proposed methods in comparison with the classical Newton-Raphson method and two other existing linear methods for both radial and meshed networks.

中文翻译：

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基于回路分析理论的低压直流电网潮流方法及其线性公式

摘要 与交流（AC）网络一样，随着直流电源系统的发展，潮流（PF）任务是直流（DC）网络的支柱。在本文中，它提出了一种基于回路分析理论的低压直流（LVDC）电网迭代潮流方法。此外，还开发了通过泰勒级数展开的线性潮流模型。基于节点-分支关联矩阵，建立了分支功率与节点注入功率之间的关系。所提出的迭代方法的形成及其线性近似是基于分支功率而不是注入电流得出的。已考虑 ZIP 负载和 V 总线（多松弛总线）。