Montoya, Oscar Danilo2020-10-302020-10-302020-08-272020-10-29O. D. Montoya, "On the Existence of the Power Flow Solution in DC Grids With CPLs Through a Graph-Based Method," in IEEE Transactions on Circuits and Systems II: Express Briefs, vol. 67, no. 8.1549-7747https://hdl.handle.net/20.500.12585/9511This 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.5 páginasapplication/pdfenghttp://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=8815893&isnumber=9152175info:eu-repo/semantics/article10.1109/TCSII.2019.2937564Constant power loadsDirect currentFixed-point theoremgraph-based methodNumerical methodsPower flow analysisinfo:eu-repo/semantics/closedAccessUniversidad Tecnológica de BolívarRepositorio Universidad Tecnológica de Bolívar