Steady State modeling of induction Machine — Lesson 1

This lesson covers the steady state analysis of induction machines, focusing on the modeling of DC, induction, and synchronous machines. It explains the development of steady state models, the derivation of dynamic equations, and the transformation of these equations to simpler forms under steady state operations. The lesson also discusses the concept of per phase representation and the use of the synchronous reference frame. It further elaborates on the derivation of the equivalent circuit for an induction machine and the phasor notation for a salient pole synchronous machine. The lesson concludes with the importance of understanding phasor representation for steady state analysis.

Video Highlights

00:11 - Introduction
02:16 - Explanation of the steady state analysis of the induction machine
05:14 - Derivation of the equations for the rotor voltages under steady state
06:55 - Transformation of the equations to the normal phase voltage of A phase stator and the phase voltage of the rotor
08:30 - Explanation of the inverse transformation from the DQ equations back to ABC
10:14 - Derivation of the expressions for the stator voltages
35:55 - Discussion on the steady state representation or the model for a synchronous machine
38:41 - Explanation of the field equation of synchronous machine

Key Takeaways

- Steady state analysis of electrical machines involves developing models and deriving dynamic equations.
- The synchronous reference frame is used as all variables reduce to DC terms in this frame.
- The equivalent circuit for an induction machine can be derived from the synchronous machine equations.
- The phasor notation is crucial for understanding the steady state analysis of a salient pole synchronous machine.
- The conventional equivalent circuits are valid only under sinusoidal steady state.