Analytical Solution — Lesson 1

This lesson covers the analysis of the reactants of salient pole alternators. It starts with the derivation of the equation of the cilium pole alternator and its equivalent circuit. The lesson then moves on to the representation of stator voltage equations in a simplified form. It further explains the significance of these equations in describing the response of the alternator when subjected to certain disturbances. It also explains the analysis of the circuit enclosed by the rectangle and the derivation of various expressions. The lesson also discusses the short circuit of a three-phase alternator and its impact on the alternator's behavior.

Video Highlights

00:13 - Introduction
04:12 - Explanation of the sudden short circuit of three phase alternator
11:07 - Explanation of the direct axis voltage equation
18:51 - Discussion on the behavior of the alternator when subjected to a short circuit at various instants
38:05 - Converting second order numerator and denominator into partial fraction
47:13 - Explanation of the IKD and IKQ and the behavior of these currents when the alternator is subjected to a short circuit

Key Takeaways

- The reactants of salient pole alternators can be understood through the derivation of the equation of the cilium pole alternator and its equivalent circuit.
- The stator voltage equations can be represented in a simplified form using flux linkages.
- The circuit enclosed by the rectangle can be analyzed to derive various expressions.
- New expressions like direct axis reactants and operational reactants can be defined for better understanding.
- The performance of the machine under short circuit conditions can be analyzed using the principles of superposition.