Wirtinger's Calculus for the Load Flow in Power Distribution Grids
This paper shows a Wirtinger's-Calculus based loadflow methodology for power distribution grids. This approach allows to obtain an algorithm which works directly on the complex domain maintaining some useful symmetries and a compact representation. The paper aims to introduce Wirtinger's C...
- Autores:
- Tipo de recurso:
- Fecha de publicación:
- 2018
- Institución:
- Universidad Tecnológica de Bolívar
- Repositorio:
- Repositorio Institucional UTB
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.utb.edu.co:20.500.12585/9205
- Acceso en línea:
- https://hdl.handle.net/20.500.12585/9205
- Palabra clave:
- Load flow
Newton's method
Power distribution grids
Power systems optimization and control
Wirtinger's-Calculus
Calculations
Electric load flow
Electric power transmission networks
MATLAB
Newton-Raphson method
Systems analysis
Load flow
Newton's methods
Power distribution grids
Power systems optimizations
Wirtinger's-Calculus
Electric power system control
- Rights
- restrictedAccess
- License
- http://creativecommons.org/licenses/by-nc-nd/4.0/
| Summary: | This paper shows a Wirtinger's-Calculus based loadflow methodology for power distribution grids. This approach allows to obtain an algorithm which works directly on the complex domain maintaining some useful symmetries and a compact representation. The paper aims to introduce Wirtinger's Calculus as a suitable tool for power systems analysis; therefore, it is presented as a tutorial, playing especial attention on the implementation in modern scrip languages such as Matlab/Oc-tave, which allow easy representation and fast complex-array calculations. A Newton's-based method is proposed in which the Jacobian is replaced by Wirtinger's derivatives obtaining a compact representation. Simulation results complement the analysis. Despite being a mature theory, Wirtinger's-Calculus has not been applied before in this type of problems. © 2018 IEEE. |
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