# An AC motor is a transformer? How?

motivation:
A guy I worked with years ago (~2015) who is an EE said that "an electric motor was just another form of a transformer". I'm not an EE, so I didn't do things with transformers. I think he meant that it turns energy from one form into another, but that he also meant there was a mathematical parallel in the modeling. Maybe something presuming steady-state, not accounting for spin-up of the armature?

Note: he loved 3-phase, for what that is worth.

Question:
Can you show the basic circuit and mathematical model of a simple electrical transformer, and then show a simple model for an equivalent electrical motor. Ideally there should be some python (numpy/scipy) with an ODE45 and a graph of current, voltage, accounting for windings, and somehow relating that to motor rotation or something.

Showing my homework:
I tried searching this forum and found no result that seemed to answer the question.

• Thought experiment: how would you tell the difference, in circuit, of a changing flux vs. moving flux, cutting a winding? Aug 16, 2023 at 18:33