Example Problem on Output Power Equation — Lesson 8

This lesson covers the concept of sizing equations in electrical machines, focusing on the D cube l product for AC systems and the D square l for DC systems. It explains how to derive these equations based on power equations and how to use them to determine the dimensions of an electrical machine given specific specifications. The lesson provides a detailed example of selecting the dimensions of an induction machine with a power rating of 30 kilowatts, a voltage of 690 volts, a frequency of 50 hertz, and a speed of 1410 rpm.

Video Highlights

00:00 - Introduction
00:26 - Solving example of selecting machine dimensions
12:02 - Considering the Aspect ration for calculation
14:06 - Finding outer diameter, inner diameter, length of a core
18:04 - Discussion on the importance of rotor geometry

Key Takeaways

- The (D3L) product and (D2L) equations are crucial in determining the dimensions of electrical machines.
- These equations are derived based on power equations and are used differently for AC and DC systems.
- The dimensions of an electrical machine can be selected based on given specifications, such as power rating, voltage, frequency, and speed.
- It's important to consider rotor geometry when deriving these equations, as it can significantly impact the machine's performance.