Abstract This study addresses the power-flow-analysis problem for direct-current (DC) grids from a numerical perspective. Classical and emerging algorithms for power flow solutions in DC networks such as Gauss--Seidel, successive approximations, Newton--Raphson, and Taylor-based methods are reviewed herein in detail by providing their mathematical derivations and algorithmic implementations. All these numerical methods can be applied to high-voltage DC and low-voltage DC networks irrespective of their topologies and the number of voltage-controlled nodes. The MATLAB programming environment is used to implement these power flow algorithms using DC networks with 6, 21, 33, and 69 nodes. The simulation results show that these power flow methods are equivalent in terms of voltage estimation and power losses and only differ from one another in terms of processing time.

中文翻译：

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直流网络潮流分析的数值方法：最新技术、方法和挑战

摘要 本研究从数值角度解决了直流 (DC) 电网的潮流分析问题。直流网络中潮流解决方案的经典和新兴算法，如 Gauss--Seidel、逐次逼近、Newton--Raphson 和基于泰勒的方法，通过提供它们的数学推导和算法实现在本文中进行了详细回顾。所有这些数值方法都可以应用于高压直流和低压直流网络，而不管它们的拓扑结构和压控节点的数量。MATLAB 编程环境用于使用具有 6、21、33 和 69 个节点的直流网络来实现这些潮流算法。