There has been proposed the method of motion models identification of an electric car with a traction induction motor by horizontal road segment, optimal by the criterion of the minimum of electric losses, synthesized using a mathematical model of the magnetization curve in the form of an inverted hyperbolic sine, which with high precision binds the current in the stator winding of an induction motor with a magnetic flux created by the field of this current and therefore corresponds to the physical conditions of the actual operation of induction electric machines, and using Lagrange variational method option that leads to the field extremals in coordinates relative time, relative speed and relative electric current in the drive motor's stator winding. At the first stage of implementation of the proposed method of motion models identification of an electric car with a traction induction drive, the constants that occur in these models due to the use of two integration operations in the process of their synthesis are determined. In the second stage of implementation, we propose a direct algorithm for determining the velocity of an electric car based on its dynamics model, and in the third stage, synthesized an iterative algorithm for determining the current associated with the velocity of an electric car by the ratio obtained as a result of solving the optimization problem by the method of indefinite Lagrange multipliers. The defined conditions that are imposed on the iterative process of optimal current model identification are determined, supplied from an electric car battery through the DC to AC converter in the traction induction motor stator winding and the conditions which must satisfy the process of determining the moments of time at which the identification process of this model is carried out, on which the accuracy of determining the electric car optimal movement trajectory coordinates depends
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