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Analytical Solution to Equivalent Consumption Minimization Strategy for Series Hybrid Electric Vehicles
Linköping University, Department of Electrical Engineering, Vehicular Systems. Linköping University, Faculty of Science & Engineering.ORCID iD: 0000-0002-8047-8703
Linköping University, Department of Electrical Engineering, Vehicular Systems. Linköping University, Faculty of Science & Engineering.
2021 (English)In: IEEE Transactions on Vehicular Technology, ISSN 0018-9545, E-ISSN 1939-9359, Vol. 70, no 3, p. 2124-2137Article in journal (Refereed) Published
Abstract [en]

Analytical optimal solution to the energy managementof hybrid electric vehicles is of interest from theoretical and practical perspectives. Particularly, effort has been made to derive analytical solution to the energy management problem for series hybrid electric vehicles using Pontryagin’s minimum principle (PMP). However, admissibility of the system input was not fully explored in determining the optimal input candidates. In this paper, the analytical solution for the same problem is found by partitioning the positive power demand set into four subsets, where the solution is derived for each case separately according to the corresponding admissible input set. The analytical solution is verified through comparison with numerical solution for a series hybrid electric wheel loader, and two different drive cycles are considered for this purpose. From the proposed solution, effective equivalence factor bounds are found and used to construct an adaptive equivalent consumption minimization strategy. The proposed strategy and the analytical solution are implemented together for the same vehicle to demonstrate their effectiveness in dealing with real-world applications. Simulations are performed for 12 drive cycles, and the results are compared to the one sachieved by PMP-based optimal control where the optimization is done numerically. Simulation results suggest that the proposed methodology is relatively fast and has satisfactory performance in presence of drive cycle uncertainty. It is observed that the proposed method fulfills charge sustenance, and the achieved fuel consumption figures are very close to the optimal benchmarks found by the non-causal method.

Place, publisher, year, edition, pages
Institute of Electrical and Electronics Engineers (IEEE), 2021. Vol. 70, no 3, p. 2124-2137
National Category
Other Electrical Engineering, Electronic Engineering, Information Engineering
Identifiers
URN: urn:nbn:se:liu:diva-173452DOI: 10.1109/TVT.2021.3059205ISI: 000637535800008OAI: oai:DiVA.org:liu-173452DiVA, id: diva2:1529835
Note

Funding: Swedish Energy AgencySwedish Energy Agency

Available from: 2021-02-19 Created: 2021-02-19 Last updated: 2022-03-17Bibliographically approved
In thesis
1. Energy Management Strategy Design for Series Hybrid Electric Vehicles
Open this publication in new window or tab >>Energy Management Strategy Design for Series Hybrid Electric Vehicles
2021 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

Electrification of vehicles is an indispensable step in improving fuel economy and reducing fossil fuel emissions. In particular, hybrid electric vehicle market has gained popularity as one such reliable solution. With the global rise in environmental concerns, the need for advancement of the relevant technologies has become more noticeable than before. In this pursuit, it is well-known that design of effective energy management strategies (EMS) that govern power distribution among the onboard energy sources is key in reducing fuel consumption and its adverse environmental impacts. This thesis is concerned with EMS design for series hybrid electric vehicles from two standpoints.

Powertrain component durability is often neglected in EMS development. In particular, batteries are prone to degradation through usage, a phenomenon widely known as cycle aging, and contribute largely to vehicle cost. In the first part of the thesis, therefore, battery lifetime optimization is integrated into the design of fuel-efficient energy management strategies.  An empirical capacity degradation model is adopted from the literature and is modified in order to predict battery lifetime. The multi-objective problem is to compromise between fuel consumption reduction and battery wear minimization. The problem is formulated within two control theory frameworks, namely Pontryagin's minimum principle and model predictive control. Simulation results suggest that there is an enormous potential in prolonging battery lifetime by sacrificing negligible to no excessive amount of fuel consumption. Performance of the developed methodology in the Pontryagin's minimum principle framework exhibits an inverse correlation with the root-mean-square of power request of drive cycles. The results can be used to develop real-time rule-based methods.  

The application considered in this part is a hybrid electric wheel loader. While prolonging battery lifetime is economically beneficial for any hybrid electric vehicle, the cost savings for high power applications such as the aforementioned construction equipment can be even more rewarding.

The second part of the thesis is dedicated to the development of time-efficient energy management strategies. Considering the need for real-time feasibility, satisfactory fuel economy and low computation time are the key elements in EMS design. In the first step, the analytical solution to equivalent consumption minimization strategy (ECMS) for series hybrid electric vehicles is derived, where the system constraints are directly taken into account in the  derivation process. The equivalence factor bounds are found and used to develop a real time adaptive ECMS. The obtained fuel economy figures  are observed to be very close to the non-causal benchmarks. These results are then utilized to propose real-time  predictive ECMS algorithms. Two scenarios are investigated depending on the availability of drive cycle knowledge. The first scenario corresponds to vehicles that are expected to follow certain drive  cycles. This situation is common among construction machinery such as the wheel loader under study. On the other hand, there are situations where driving mission is not known in advance and the driver behavior is unpredictable, such as typical city driving. For each scenario, an algorithm is presented to compute the equivalence factor efficiently. The control action is then determined by the analytical policy derived previously. Simulations of the developed algorithms on the hybrid wheel loader and a passenger car demonstrate that the methodologies are computationally efficient and attain satisfactory fuel economy with respect to the dynamic programming benchmarks. 

Place, publisher, year, edition, pages
Linköping: Linköping University Electronic Press, 2021. p. 28
Series
Linköping Studies in Science and Technology. Dissertations, ISSN 0345-7524 ; 2165
Keywords
energy management strategy, ECMS, series hybrid, battery aging
National Category
Control Engineering Vehicle and Aerospace Engineering
Identifiers
urn:nbn:se:liu:diva-178628 (URN)10.3384/diss.diva-178628 (DOI)9789179290160 (ISBN)
Public defence
2021-10-29, Ada Lovelace, B-building, Campus Valla, Linköping, 13:15 (English)
Opponent
Supervisors
Funder
Swedish Energy Agency
Available from: 2021-08-25 Created: 2021-08-24 Last updated: 2025-02-14Bibliographically approved

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Shafikhani, ImanÅslund, Jan

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