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arXiv · 2606.17844

Multiple solutions and simulations for an Ion Flow Field problem applied to HVDC transmission lines

Madeline Chauvier·Serge Nicaise·Christophe Troestler·Juliette Venel
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Abstract

This paper initiates a mathematical investigation of a PDE model for the transport of high voltage direct current via overhead lines. We prove the existence of infinitely many solutions, give necessary conditions for existence, explicitly compute the continuum of all radial solutions, and develop a new numerical algorithm for this problem.

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Madeline Chauvier, Serge Nicaise, Christophe Troestler, Juliette Venel. 2026-06-16. Multiple solutions and simulations for an Ion Flow Field problem applied to HVDC transmission lines. https://arxiv.org/abs/2606.17844

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