Dynamic Equations of Induction Machines — Lesson 1

This lesson covers the development of dynamic equations for electrical machines. It starts with the concept of inductance, flux linkage, and the behavior of linear and non-linear magnetic systems. The lesson then delves into the specifics of rotational systems, exploring the relationship between generated torque and the rate of change of inductance. It also discusses the derivation of inductance expressions for various systems, including those with single coils on the stator and rotor. The lesson covers an in-depth look at three-phase induction machines, explaining how they work and how to write down their equations. It also covers the concept of rotating MMF waveform in an induction machine and voltage and current vectors.

Video Highlights

00:12 - Introduction and explanation of inductance
05:46 - Introduction to the three-phase induction machine
07:52 - Explanation of uniformly distributed winding
15:47 - Discussion on phase axis
28:46 - Discussion on the concept of rotating MMF waveform in an induction machine
38:23 - Explanation of the mutual inductance between two stator fields
47:24 - Vector notations for representing voltages and currents
48:37 - Explanation of the relationship between voltage and current vectors

Key Takeaways

- Understanding electromagnetic circuits and inductance is crucial in describing the behavior of machines.
- In rotational systems, the generated torque is proportional to the rate of change of inductance with respect to angle.
- Three-phase induction machines have three windings on the stator and rotor, and their equations can be written down for a better understanding of their operation.