On the Existence of the Power Flow Solution in DC Grids With CPLs Through a Graph-Based Method
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 uniqu...
- Autores:
-
Montoya, Oscar Danilo
- Tipo de recurso:
- Fecha de publicación:
- 2020
- Institución:
- Universidad Tecnológica de Bolívar
- Repositorio:
- Repositorio Institucional UTB
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.utb.edu.co:20.500.12585/9511
- Acceso en línea:
- https://hdl.handle.net/20.500.12585/9511
http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=8815893&isnumber=9152175
- Palabra clave:
- Constant power loads
Direct current
Fixed-point theorem
graph-based method
Numerical methods
Power flow analysis
- Rights
- closedAccess
- License
- http://purl.org/coar/access_right/c_14cb
| Summary: | 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. |
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