Difference between revisions of "Generator Efficiency"

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m (Power Efficiency)
m (Electrical Efficiency)
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Efficiency as a fraction input mechanical power that is available at the output terminals:
 
Efficiency as a fraction input mechanical power that is available at the output terminals:
  
E = Pout / (Pout + Ploss)  
+
<pre>
.
+
E = Pout / (Pout + Ploss)  
Pout = I^2 * Rl and  Ploss = I^2 * Rm thus
+
 
.
+
Pout = I^2 * Rl and  Ploss = I^2 * Rm 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
Rl >= Rm * E/(1-E)
+
 
.
+
Rl >= Rm * E/(1-E)
some results:
+
 
k = 4 -> 80%  
+
some results:
k = 9 -> 90%
+
k = 4 -> 80%  
 +
k = 9 -> 90%
 +
</pre>
  
 
=Power Efficiency=
 
=Power Efficiency=

Revision as of 08:12, 20 April 2007


Electrical Efficiency

Efficiency as a fraction input mechanical power that is available at the output terminals:

E = Pout / (Pout + Ploss) 

Pout = I^2 * Rl and  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)

some results:
k = 4 -> 80% 
k = 9 -> 90%

Power Efficiency

For a load that is a multiple of the generator resistance, a fraction of the maximum output power is obtained. If the load equals the generator resistance, then the maximum output power is obtained.

Let the power efficiency be:

Pe = Pout / Pmax

some math...

Pe = 4k/(1+k)^2

64% -> k = 4   (80% electrical efficiency)
36% -> k = 9   (90% electrical efficiency)