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arXiv · 1901.00430

Wirtinger's Calculus for the Load Flow in Power Distribution Grids

Alejandro Garces
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Abstract

This short paper presents a Wirtinger's-Calculus based load-flow 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 and simulations; therefore, it is presented as a tutorial, playing especial attention on the implementation in modern scrip languages such as Matlab/Octave, which allow easy representation of complex-arrays with fast 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.

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Alejandro Garces. 2019-01-02. Wirtinger's Calculus for the Load Flow in Power Distribution Grids. https://doi.org/10.1109/andescon.2018.8564691

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