Analytical Approach to Nonlinear Behavior Study of an Electric Vehicle

Permanent Magnet Direct Current (PMDC) motors have great application potentials in Electric Vehicles (EVs) industry, due to their advantages, such as no need for the field excitation arrangement, no input power consumption for the excitation, and having lower costs for low power rating applications. To analyze the nonlinear behavior of the EV equipped with the PMDC motor, the electromechanical equations related to a typical model of the PMDC motor are derived, and the electrical equivalent circuit related to the mechanical equations is presented in this paper. Homotopy Perturbation Method (HPM) and Variational Iteration Method (VIM) as the two analytical techniques are applied to solve the evolution equations. The performance of the PMDC motor that is concerned with the nonlinear parameters (viscous friction, torque, and inertia) is evaluated. In addition, the accuracy of the two analytical techniques is compared with the numerical solution. The results confirm the applicability of the two analytical techniques to analyze the nonlinear behavior of the system.