Optimal Movement Modeling of an Electric Car with a Traction Induction Motor on the Slopes and Rises of the Road
Keywords
Abstract
There has been made the simulation of the optimal motion model of an electric car with a traction induction motor on the slopes and rises of the road, performing optimization on the criterion of minimum electrical losses, using the models synthesized by the authors, based on a mathematical model of the magnetization curve in the form of inverse hyperbolic sine and the variational variant of the Lagrange`s indefinite multipliers method. The simulation for three variants of conditions of the set distance passing for the allocated time, processes of movement of the electric car on the descent, and the ascent of various degrees of inclination with comparison to conditions of movement by a horizontal road section are carried out.
Obtained results have been analyzed and it has been found that as for car motion by horizontal road section, that was modeled in previous authors works, the control law presented by the received mathematical model of optimal motion will provide the electric car's drive battery power consumption optimization on descent and ascent movement conditions.
The simulation data and their analysis confirm the theoretical statements and the motion optimization efficiency of the obtained mathematical models also for the movement on the slopes and rises of the road.
