Abstract
Air mobility is rapidly moving towards the development and usage of hybrid electric aircraft in multi-flight missions. Aircraft operators must consider numerous infrastructure and operational constraints in their planning, during which predicting energy usage is critical. We introduce this problem as the Fixed Route Hybrid Electric Aircraft Charging Problem (FRHACP). Given a fixed route, this problem aims to decide how much to refuel/charge at each terminal as well as the energy types to use during each flight leg (hybridization). The objective is to minimize the total energy-related monetary costs while satisfying scheduling and hybridization constraints. We propose a dynamic programming algorithm to solve this problem and show that it is optimal under assumptions usually satisfied in real-life settings. We then propose a gradient descent post-treatment to relax one of these assumptions while maintaining optimality. Results on realistic instances demonstrate that the developed algorithms outperform greedy heuristics, reaching an average cost reduction of up to 19.4%.
This work received financial support from the Consortium for Research and Innovation in Aerospace in Quebec (CRIAQ), and the Mitacs Accelerate program.
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References
Akima, H.: A new method of interpolation and smooth curve fitting based on local procedures. J. ACM 17(4), 589–602 (1970). https://doi.org/10.1145/321607.321609
Ansarey, M., Shariat Panahi, M., Ziarati, H., Mahjoob, M.: Optimal energy management in a dual-storage fuel-cell hybrid vehicle using multi-dimensional dynamic programming. J. Power Sources 250, 359–371 (2014). https://doi.org/10.1016/j.jpowsour.2013.10.145
Ansell, P.J., Haran, K.S.: Electrified airplanes: a path to zero-emission air travel. IEEE Electrification Mag. 8(2), 18–26 (2020). https://doi.org/10.1109/MELE.2020.2985482
De Cauwer, C., Verbeke, W., Coosemans, T., Faid, S., Van Mierlo, J.: A data-driven method for energy consumption prediction and energy-efficient routing of electric vehicles in real-world conditions. Energies 10(5), 608 (2017). https://doi.org/10.3390/en10050608
Deschênes, A., Gaudreault, J., Quimper, C.G.: Dynamic programming for the fixed route electric vehicle charging problem with nonlinear energy management. In: 2022 IEEE 25th International Conference on Intelligent Transportation Systems (ITSC), pp. 3956–3962 (2022). https://doi.org/10.1109/ITSC55140.2022.9922511
Deschênes, A., Gaudreault, J., Quimper, C.G.: Predicting real life electric vehicle fast charging session duration using neural networks. In: 2022 IEEE Intelligent Vehicles Symposium (IV), pp. 1327–1332 (2022). https://doi.org/10.1109/IV51971.2022.9827179
Deschênes, A., Gaudreault, J., Vignault, L.P., Bernard, F., Quimper, C.G.: The fixed route electric vehicle charging problem with nonlinear energy management and variable vehicle speed. In: 2020 IEEE International Conference on Systems, Man, and Cybernetics (SMC), pp. 1451–1458 (2020). https://doi.org/10.1109/SMC42975.2020.9283062
Eurostat: Data - Eurostat. https://ec.europa.eu/eurostat/data
FlightRadar24: Live flight tracker - Real-time flight tracker map. https://www.flightradar24.com/
Froger, A., Mendoza, J.E., Jabali, O., Laporte, G.: Improved formulations and algorithmic components for the electric vehicle routing problem with nonlinear charging functions. Comput. Oper. Res. 104, 256–294 (2019). https://doi.org/10.1016/j.cor.2018.12.013
Hydro-Québec: Comparison of electricity prices in major North American cities 2022. Technical report, Hydro-Québec (2022)
Jet-A1: Jet A-1 price on fuel. https://jet-a1-fuel.com/
Kirschstein, T.: Comparison of energy demands of drone-based and ground-based parcel delivery services. Transp. Res. Part D Transp. Environ. 78, 102209 (2020). https://doi.org/10.1016/j.trd.2019.102209
Lei, T., Min, Z., Gao, Q., Song, L., Zhang, X., Zhang, X.: The architecture optimization and energy management technology of aircraft power systems: a review and future trends. Energies 15(11), 4109 (2022). https://doi.org/10.3390/en15114109
Montoya, A., Guéret, C., Mendoza, J.E., Villegas, J.G.: The electric vehicle routing problem with nonlinear charging function. Transp. Res. Part B Methodol. 103, 87–110 (2017). https://doi.org/10.1016/j.trb.2017.02.004
Pinto Leite, J.P.S., Voskuijl, M.: Optimal energy management for hybrid-electric aircraft. Aircr. Eng. Aerosp. Technol. 92(6), 851–861 (2020). https://doi.org/10.1108/AEAT-03-2019-0046
Sun, J., Hoekstra, J.M., Ellerbroek, J.: OpenAP: an open-source aircraft performance model for air transportation studies and simulations. Aerospace 7(8), 104 (2020). https://doi.org/10.3390/aerospace7080104
Wang, M., Mesbahi, M.: To charge in-flight or not: an inquiry into parallel-hybrid electric aircraft configurations via optimal control (2022)
Zhang, J., Campbell, J.F., Sweeney, D.C., Hupman, A.C.: Energy consumption models for delivery drones: a comparison and assessment. Transp. Res. Part D Transp. Environ. 90, 102668 (2021). https://doi.org/10.1016/j.trd.2020.102668
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Deschênes, A., Boudreault, R., Simard, V., Gaudreault, J., Quimper, CG. (2024). Dynamic Programming for the Fixed Route Hybrid Electric Aircraft Charging Problem. In: Wu, W., Guo, J. (eds) Combinatorial Optimization and Applications. COCOA 2023. Lecture Notes in Computer Science, vol 14461. Springer, Cham. https://doi.org/10.1007/978-3-031-49611-0_25
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