Multiple Solutions and Simulations for an Ion Flow Field Problem Applied to HVDC Transmission Lines
Abstract
This paper initiates a mathematical investigation of a partial differential equation 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.
Fields of Study & Subjects
Thermal Analysis in Power Transmission
HVDC Systems and Fault Protection
Aquatic and Environmental Studies
Publication details
- Journal / source
- ESAIM Mathematical Modelling and Numerical Analysis
- Volume
- 60
- Issue
- 5
- Pages
- 2147–2169
- Publication date
- 18 June 2026
- Language
- EN