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Macroscopic Coupled Traffic and Energy Model in Front-tracking and Cell-based Frameworks

Mladen Čičić

Abstract

As the transportation and power systems grow ever more coupled, through the introduction of electric vehicles and their connection with electricity markets, modelling the traffic and energy flows in a joint manner is becoming increasingly important. To this end, we propose a generalized Coupled Traffic and Energy Model, which is able to model the dynamics of electric vehicle state of charge, coupled with the dynamics of the traffic flow. We define and solve a Riemann-like problem for this model, which enables the formulation of numerical schemes for finding the overall solution. Based on the application of front-tracking on the model, which in the studied case provides exact solutions, we propose an extension to the Front-tracking Transition System Model, extending it to include advected energy and ramp flows. This model is used to provide exact solutions, enabling us to define two approximate cell-based models, which are significantly simpler to implement. The proposed models are then tested and compared in an illustrative simulation example. The simulations show that the proposed Front-tracking Transition System Model with advected Energy is able to reproduce diverse traffic scenarios with no loss of information, and that the cell-based models provide a good approximation, simplifying the computations and implementation with little loss of details.
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Dates and versions

hal-03954453 , version 1 (24-01-2023)

Identifiers

  • HAL Id : hal-03954453 , version 1

Cite

Mladen Čičić, Carlos Canudas de Wit. Macroscopic Coupled Traffic and Energy Model in Front-tracking and Cell-based Frameworks. 2023. ⟨hal-03954453⟩
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