[1B2] Dynamical response of electrical transmission system
R Ebrahimnejad, M Molaei, G Iarriccio, A Zippo and F Pellicano
University of Modena and Reggio Emilia, Italy
Substituting the traditional internal combustion engines with electrical motors in power transmission systems makes it necessary to investigate the dynamics and vibration of the electrical transmission system and analyse the interaction of the electric motor and mechanical system. This is especially important when it comes to optimising performance, enhancing comfort and improving durability and reliability, since the interaction between the electrical and mechanical system, and vice versa, changes the dynamic response of the system. In this study, a mathematical model of the dynamics of an electrical transmission system is developed. The interaction between the magnetomotive force and the airgap flux harmonics in the electric motor causes torque ripple. To simulate the dynamics of the system, it is important to simultaneously consider the effects of electromagnetic excitation of the electric motor and mechanical excitation of the gear mesh due to transmission error, backside contact and time-varying mesh stiffness. In this work, to evaluate an accurate static analysis to determine the system’s mesh stiffness, a non-linear finite element method-based program, Transmission3D Calyx, is applied. The non-linear dynamic equations of the system are developed considering the effect of torque ripple caused by the magnetomotive forces of the rotor and stator in an electric motor and are solved numerically applying the Runge-Kutta method. The dynamic response of the system is investigated through different tools, ie time-history responses, amplitude-frequency diagrams, bifurcation diagrams, a phase diagram and Poincaré maps.