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\begin{document}

\title{Power flow problem approached by geometric algebra}



\author[1]{Nitin Sundriyal}%
\author[1]{Juan Ramirez}%
\affil[1]{Centre for Research and Advanced Studies Unit Monterrey}%


\vspace{-1em}



  
  \date{June 15, 2024}


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\begin{abstract}
Analysing the electrical power systems' behaviour is significantly based
on power flow analysis. This paper uses a geometric algebra (GA)
mathematical framework to solve the power flow problem. It can combine
and extend algebraic and geometric concepts in a unified and powerful
way. While complex numbers are an extension of the real number field,
geometric algebra builds on the ideas of linear algebra and geometry to
provide a more complete and versatile mathematical framework.
Additionally, GA enables handling multivectors through geometric
functions, including wedge and geometric products. Thus, it allows a
straightforward interpretation because of its ability to abstract the
formulation. Therefore, by utilising GA, power flow analysis may be
performed efficiently and precisely, resulting in improved design and
operation of power systems. This paper presents the GA-based formulation
and shows the comparative results between the conventional and the
proposed technique.%
\end{abstract}%



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\textbf{Hosted file}

\verb`nitin_Powerflow_Jun2023.docx`  available at \url{https://authorea.com/users/459332/articles/652328-power-flow-problem-approached-by-geometric-algebra}

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