Optimal Design of Motor and Gear for Drives With High Acceleration by Consideration of Torque–Speed and Torque–Acceleration Product

The design of drives for high accelerating loads becomes very simple and clear with the fact that the torque-acceleration product is transmitted unchanged by an ideal gear, just like in the case of the torque-speed product (i.e., mechanical power). With this knowledge, it is easy to determine the required rated power and power rate a motor must possess for driving a given load with the specified torque, speed, and acceleration. The design of a gear for each suitable motor results in two independent ranges of gear ratio based on the consideration of constant-speed conditions and acceleration processes. In this paper, a simple criterion makes it possible to check whether these ranges have an overlap from which the gear ratio to be realized can be chosen. Final considerations show how to check and/or improve the suitability of a motor for a given application and how to determine the optimal combination of motor and gear.