Difference between revisions of "Generator Efficiency"
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E = Pout / (Pout + Ploss) | E = Pout / (Pout + Ploss) | ||
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Pout = I^2 * Rl | Pout = I^2 * Rl | ||
Ploss = I^2 * Rm | Ploss = I^2 * Rm | ||
| + | |||
thus | thus | ||
| + | |||
E = I^2 * (Rl / (Rl+Rm)) | E = I^2 * (Rl / (Rl+Rm)) | ||
let Rl = k * Rm then | let Rl = k * Rm then | ||
| + | |||
E = k/(1+k) | E = k/(1+k) | ||
for a given desired efficiency keep | for a given desired efficiency keep | ||
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Rl >= Rm * E/(1-E) | Rl >= Rm * E/(1-E) | ||
k = 4 -> 80% | k = 4 -> 80% | ||
k = 9 -> 90% | k = 9 -> 90% | ||
Revision as of 08:02, 20 April 2007
Electrial Efficiency
Efficiency as a fraction input mechanical power that is available at the output terminals:
E = Pout / (Pout + Ploss)
Pout = I^2 * Rl Ploss = I^2 * Rm
thus
E = I^2 * (Rl / (Rl+Rm))
let Rl = k * Rm then
E = k/(1+k)
for a given desired efficiency keep
Rl >= Rm * E/(1-E)
k = 4 -> 80% k = 9 -> 90%
