MULTIPLE SOLUTIONS AND SIMULATIONS FOR AN ION FLOW FIELD PROBLEM APPLIED TO HVDC TRANSMISSION LINES
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.
Authors
- Juliette Venel
- Christophe Troestler (ORCID: https://orcid.org/0000-0001-9547-9090)
- Serge Nicaise
- Madeline Chauvier
Institutions
- University of Mons (BE)
- Université Polytechnique Hauts-de-France (FR)
Publication Details
- Journal
- ORBi UMONS
- Published
- 2025-11-10
- Primary Topic
- Thermal Analysis in Power Transmission
- Type
- article
- Field-Weighted Citation Impact
- 0.00