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Solvability of the power flow problem in DC overhead wire circuit modeling

Jakub ŠevčíkLukáš AdamJan PřikrylVáclav Šmídl — 2021

Applications of Mathematics

Proper traffic simulation of electric vehicles, which draw energy from overhead wires, requires adequate modeling of traction infrastructure. Such vehicles include trains, trams or trolleybuses. Since the requested power demands depend on a traffic situation, the overhead wire DC electrical circuit is associated with a non-linear power flow problem. Although the Newton-Raphson method is well-known and widely accepted for seeking its solution, the existence of such a solution is not guaranteed. Particularly...

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