1A2-D21 Simplified Optimal Design of Reduction Ratio for Saving Energy in a Power Mechatronic System with a Gear

Abstract

The present paper discusses the optimal gear ratio that minimizes the energy dissipated in a mechatronic system. The dissipated energy is composed of Joule loss in the motor and friction losses in the mechanical system including the gear. In the presence of the viscous friction force, the minimum dissipated energy can not be formulated analytically because the optimal velocity function is very complicated. In order to simplify the determination of the optimal gear ratio, the viscous friction is assumed to be constant. From this assumption, the optimal gear ratio can be easily obtained by solving a algebraic equation with respect to one variable.