On the Existence of the Power Flow Solution in DC Grids With CPLs Through a Graph-Based Method
On the Existence of the Power Flow Solution in DC Grids With CPLs Through a Graph-Based Method
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DOI：
10.1109/tcsii.2019.2937564
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发表时间：
2020-08
期刊：
影响因子：
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通讯作者：
O. Montoya
中科院分区：
文献类型：
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作者：
O. Montoya
本文探讨了直流电网中潮流问题的公式化，通过基于图形的公式化，采用经典的关联矩阵。这对应于传统后向/前向扫描方法的紧凑表示，适用于具有独特电压控制源的径向和网状网络。为了保证在明确的运行条件下直流网络潮流解的存在性和唯一性，利用Banach不动点定理。仿真结果表明，该方法的解决方案是与经典的方法，如高斯-赛德尔，牛顿-拉夫森，逐次逼近和泰勒为基础的方法数值相当。所有的仿真都是在MATLAB软件中进行的。
This brief explores the formulation of the power flow problem in DC grids with a classical incidence matrix through a graph-based formulation. This corresponds to a compact representation of the conventional backward/forward sweep methods, which is applicable to radial and mesh networks with a unique voltage controlled source. To guarantee the existence and uniqueness of the power flow solution in the DC network under well-defined operative conditions, the Banach fixed-point theorem is employed. Simulation results confirm that the solution of the proposed method is numerically comparable with classical approaches, such as Gauss-Seidel, Newton-Raphson, successive approximations and Taylor-based methods. All the simulations are conducted in MATLAB software.