Equivalent Models of the Computation Process in the Problem of Synthesis of Models of Optimal Motion of an Electric Vehicle with an Asynchronous Electric Drive

Abstract

It has been clarified that the procedures for calculating the parameters of optimal motion of an electric vehicle along a road laid on terrain with complex landscape require the computation of specific values of a significant number of transcendental functions, which, when using methods of successive approximations, leads to significant time losses necessary for obtaining final results. And since these results are needed by the driver of the electric vehicle in the process of implementing optimal motion, then, using well-known calculation formulas obtained by various researchers for estimating the parameters of optimal motion of an electric vehicle along a road laid on terrain with complex landscape, due to delays in calculations, the driver will not be able to make optimal decisions in time that would be obtained using classical calculations at moments in time when the situation on the road has already undergone significant changes. Therefore, an important scientific and practical task is the synthesis of such equivalent models of the processes of calculating parameters of electric vehicle optimal motion, with the help of which the results of these calculations would reach the driver at those moments in time when the road situation that is being optimized still took place. It is precisely such equivalent models of the processes of calculating parameters of optimal motion of an electric vehicle that are proposed in this work. In these models, it is proposed to calculate the values of transcendental functions, such as exponential, sinusoidal, cosinusoidal, logarithmic and radical, which are integral components of models for calculating parameters of optimal motion of an electric vehicle, using approximation of the indicated transcendental functions by truncated power series, for the calculation of whose terms only basic algebraic operations are used, such as addition, subtraction, multiplication and division, which are performed by computers instantly. For each transcendental function in this work, the number of terms in truncated power series by which these functions are approximated has been investigated and determined, the use of which ensures acceptable accuracy of results for practical calculations obtained in real driving conditions and at the required moments in time.