There are no scientific publications on a electric motor in Tesla cars, so let's try to deduce something. Tesla's induction motor is very enigmatic so the paper tries to introduce a basic model. This secrecy could be interesting for the engineering and physics students. Multidisciplinary problem is considered: kinematics, mechanics, electric motors, numerical methods, control of electric drives. Identification based on three points in the steady-state torque-speed curve of the induction motor is presented. The field weakening mode of operation of the motor is analyzed. The Kloss' formula is obtained. The main aim of the article is determination of a mathematical description of the torque vs. speed curve of induction motor and its application for vehicle motion modeling. Additionally, the moment of inertia of the motor rotor and the electric vehicle mass are considered in one equation as electromechanical system. Presented approach may seem like speculation, but it allows to understand the problem of a vehicle motion. The article composition is different from classical approach - studying should be intriguing.

The method for preliminary powertrain design is presented in the paper. Performance of the EV is realized by motor torque–speed curve and gear ratio optimization. The typical two-zone mechanical characteristic of a PMSM traction motor is included in the optimization program. The longitudinal vehicle model is considered in the paper. Some examples try to show the calculation possibilities in application to existing vehicles: Tesla Model S and Mini Cooper SE.

This article presents a harmonic analysis of the stator currents of a squirrel-cage induction motor fed by a voltage source inverter with PWM space vector control (SVPWM). The influence of PWM switching frequency and dead time (dead band) of controlled transistors on THD and electromagnetic torque ripple is shown. The aim is to determine the lowest switching frequency of the transistors for which the drive will operate correctly. Characteristics were determined as functions in the form of THD ($f_{PWM}$), where the least square approximation was used for stator current measurements when the PWM switching frequency was changed. The approximations were realized for simulation and experimental results. To clarify the results, the operation of hardware PWM circuits in microcontrollers is analyzed.

This paper investigates the properties and design of energy conversion in an electric vehicle (EV) powertrain. Here, we combined the dynamics of vehicle motion with controlled electric propulsion, which is an EV powertrain. The control of two types of permanent magnet synchronous motors (PMSMs) was considered. An algorithm was developed for the determination of the static characteristics of two-region motor torque control. A constant torque and a constant power region were used in the powertrain of the EV. The design of the control system for the PMSM was considered in the $d,q$ reference frame. A precise mechanical model of the EV and the determination of road loads is shown. The main results of this study were the selection of the PI controller parameters (in analytical form), which was carried out for the simplified motor model and then extended for the $d,q$ model, and energy consumption during the WLTP standard driving cycle. The presented simulation results of the proposed control system with synchronous motors in the EV (Fisker Karma as an example) confirmed the approach taken for the selection of the controller. The presentation of the EV’s acceleration for an optimized powertrain, and hence its performance, is a novelty not found in other articles.

The paper describes three observers for a two-mass electric drive with a flexible shaft. The following state variables: the load machine speed and torsional torque are estimated. Optimization of the observers are based on the LQ problem (LQR). Three types of observers are presented and compared. The selection of Q matrix in a performance index is determined by observability condition. Simulink and dSpace implementation of the observers are shown. The experimental results confirm the usefulness of presented method in the industrial applications.

The conversion of the electrical energy into the mechanical is usually realized by a motor, power electronics and cascade control. The relative stability ($\Theta$-stability), i.e., the displacement of its eigenvalues of this system is analyzed for a drive with a BLDC motor. The influence of changing the basic parameters of the motor and power supply system on the drive operation is considered. 4th order closed-loop transfer-function of the cascade control is presented, where boundaries of the transfer-function coefficients are used. The cascade system which uncertainty of the resistance, inductance, flux and gain parameters is analyzed. Theoretical calculations for the cascade control, simulations and laboratory tests are included in the article.