W. R. Lee, S. Wang, K. L. Teo, "Optimal recharge and driving strategies for a battery-powered electric vehicle", Mathematical Problems in Engineering, vol. 5, Article ID 492354, 32 pages, 1999. https://doi.org/10.1155/S1024123X99000976
Optimal recharge and driving strategies for a battery-powered electric vehicle
A major problem facing battery-powered electric vehicles is in their batteries: weight and charge capacity. Thus, a battery-powered electric vehicle only has a short driving range. To travel for a longer distance, the batteries are required to be recharged frequently. In this paper, we construct a model for a battery-powered electric vehicle, in which driving strategy is to be obtained such that the total travelling time between two locations is minimized. The problem is formulated as an optimization problem with switching times and speed as decision variables. This is an unconventional optimization problem. However, by using the control parametrization enhancing technique (CPET), it is shown that this unconventional optimization is equivalent to a conventional optimal parameter selection problem. Numerical examples are solved using the proposed method.
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