Title: Solvability of the power flow problem in DC overhead wire circuit modeling
Authors: Ševčík, Jakub
Adam, Lukáš
Přikryl, Jan
Šmídl, Václav
Citation: ŠEVČÍK, J. ADAM, L. PŘIKRYL, J. ŠMÍDL, V. Solvability of the power flow problem in DC overhead wire circuit modeling. Applications of Mathematics, 2021, roč. 66, č. 6, s. 837-855. ISSN: 0862-7940
Issue Date: 2021
Publisher: Institute of Mathematics, Czech Academy of Sciences
Document type: článek
URI: 2-s2.0-85115339117
ISSN: 0862-7940
Keywords in different language: power flow problem;Newton-Raphson method;solvability;scaling parameter
Abstract in different language: 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. Al- though the Newton-Raphson method is well-known and widely accepted for seeking its solu- tion, the existence of such a solution is not guaranteed. Particularly in situations where the vehicle power demands are too high (during acceleration), the solution of the studied prob- lem may not exist. To deal with such cases, we introduce a numerical method which seeks maximal suppliable power demands for which the solution exists. This corresponds to intro- ducing a scaling parameter to reduce the demanded power. The interpretation of the scaling parameter is the amount of energy which is absent in the system, and which needs to be provided by external sources such as on-board batteries. We propose an efficient two-stage algorithm to find the optimal scaling parameter and the resulting potentials in the overhead wire network. We perform a comparison with a naive approach and present a real-world sim- ulation in the part of the Pilsen city in the Czech Republic. These simulations are performed in the traffic micro-simulator SUMO, a popular open-source traffic simulation platform.
Rights: © Institute of Mathematics, Czech Academy of Sciences
Appears in Collections:Články / Articles (KEV)
Články / Articles (RICE)

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