Mathematical Models of Optimal Motion of an Electric Car with an Asynchronous Electric Drive in the Presence of Uphill, Downhill and Settlement on the Road, and a Stop in this Settlement

Abstract

In our work [2], the problem of synthesizing mathematical models of optimal motion of an electric vehicle with an asynchronous electric drive along a horizontal section of the road is solved according to the criterion of minimum power battery charge consumption, but only on the condition that the electric vehicle must travel from the start to the finish line within a certain period of time and taking into account the limitations caused by the dynamics of the electric vehicle and the presence of a settlement on this section of the road in which the speed is limited by traffic rules. This paper shows that the motion of the electric vehicle through  a settlement from the point of view of its optimization is significantly different if the road in the settlement has uphill and downhill, and it is proven that the algorithm for synthesizing models of optimal movement of an electric vehicle with an asynchronous electric drive, which takes into account in the Lagrange function only the speed limit in the settlement, the limit on overcoming a certain distance in a given time and the limits due to the dynamics of the electric vehicle, does not allow synthesizing models of optimal motion of this electric vehicle if the road in this settlement has uphill and downhill. It is shown what form the Lagrange function takes in case when in the problem of synthesizing models of optimal motion of an electric vehicle it is necessary to take into account not only the appearance of a settlement on its road, but also the appearance of uphill and downhill on the road in this settlement. Mathematical models of optimal electric vehicle motion, based on the criterion of minimum power battery charge costs with a stop within the settlement and with the start of its movement both within the limits of the same settlement and beyond have been synthesized. The synthesized mathematical models, after their identification, can be used in artificial intelligence training programs with a specific purpose for driving electric vehicles with an asynchronous electric drive.