Lesson plan

Goodness factor

The goodness factor is a metric developed by Eric Laithwaite to determine the 'goodness' of an electric motor. Using it he was able to develop efficient magnetic levitation induction motors. : G = \frac {\omega} {\mathrm{resistance} \times \mathrm{reluctance}} = \frac {\omega \mu \sigma A_\mathrm{e} A_\mathrm{m}} {l_\mathrm{e} l_\mathrm{m}} where : is the goodness factor (factors above 1 are likely to be efficient) : , are the cross sections of the electric and magnetic circuits : , are the lengths of the electric and magnetic circuits : is the permeability of the core : is the angular frequency the motor is driven at : is the conductivity of the conductor From this he showed that the most efficient motors are likely to be relatively large. However, the equation only directly relates to non-permanent magnet motors. Laithwaite showed that for a simple induction motor this gave: : G \propto \frac {\omega \mu_0 p^2} {\rho_\mathrm{r} g} where is the pole pitch arc length, is the surface resistivity of the rotor and is the air gap.

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Article summary

The goodness factor is a metric developed by Eric Laithwaite to determine the 'goodness' of an electric motor. Using it he was able to develop efficient magnetic levitation induction motors. : G = \frac {\omega} {\mathrm{resistance} \times \mathrm{reluctance}} = \frac {\omega \mu \sigma A_\mathrm{e} A_\mathrm{m}} {l_\mathrm{e} l_\mathrm{m}} where : is the goodness factor (factors above 1 are likely to be efficient) : , are the cross sections of the electric and magnetic circuits : , are the lengths of the electric and magnetic circuits : is the permeability of the core : is the angular frequency the motor is driven at : is the conductivity of the conductor From this he showed that the most efficient motors are likely to be relatively large. However, the equation only directly relates to non-permanent magnet motors. Laithwaite showed that for a simple induction motor this gave: : G \propto \frac {\omega \mu_0 p^2} {\rho_\mathrm{r} g} where is the pole pitch arc length, is the surface resistivity of the rotor and is the air gap.

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  1. Summarise the article in your own words. Which single claim would you verify first, and why?
  2. Which claim in this article is most likely to be revised as the sources update? How would you check its current status?
  3. If two sources disagreed about one of these facts, what would you need in order to trust one over the other?

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