Synthesis and Identification of Optimal Motion Models of an Electric Car with an Induction Traction Motor on the Slopes and Rises of the Road

Abstract

The optimal motion’s models synthesis and identification method of an electric car with a traction induction motor during the road on the descent and ascent is proposed, which uses the same approach as we proposed during the development of the synthesis and identification method of optimal motion’s models of an electric car with traction induction motor on a horizontal section of road, but with different boundary conditions, with a different their using procedure to determine constants which take place in these models due to the use of double integration operations in the process of their synthesis by the method of indefinite Lagrange multipliers and also with other procedure of realization of direct algorithm of definition of speed of the electric car on the basis of model of its dynamics, which in the case of movement on descent and ascent as parameters also includes the angle of the electric car frame longitudinal axis inclination to the horizontal plane, which one is a variable in space, so for a moving electric car this value is variable in time, and therefore requires measurement by an appropriate device. Also shown that if the electric car goes on the horizontal section of the road from descent or ascent without stopping, then to determine the constants in the models of its optimal movement of the horizontal section of the road become unsuitable expressions that we obtained earlier for the case, when electric car optimal motion models by the horizontal section of the road from stop to stop were determined, because the boundary conditions change, and therefore the expressions by which these constants are determined become similar in structure to those obtained by us in this article for models of optimal electric car movement on descent or ascent.