Motor Control For Designers (Part 3): Torque-Current Relationship

by Dennis Feucht, Innovatia Laboratories, Cayo, Belize, How2Power Today, Oct 15 2025

Focus:
With the definition of terms and key relationships established in the first parts of this series, we can now proceed to develop a motor model in the next three parts. As an electromechanical device, it will have certain relationships between electrical and mechanical quantities. This part relates electrical and mechanical quantities in two simple equations for torque T and induced voltage v[subscript]omega. It begins by deriving these expressions, and then describes how motor geometry influences the induced-voltage waveform. This relationship is further illustrated by presenting the flux and induced- voltage waveforms for a simple PMS motor example.

What you’ll learn:

• How to derive expressions for torque and induced voltage in electric motors
• How to understand how induced voltage waveforms are generated in a PMS motor

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