Mark Meller":e9qpmlmh said:
Ron...
No big deal but your math is wrong.
You should be dividing by .55 (55%). In the example, your input energy is less than your output energy... In short you're "creating" energy. Neat trick if you could... alas you can't.
Should be 0.39HP/.55=0.71HP. In other words it takes 0.71HP of mechanical energy to produce 0.39HP of electrical energy when the process is 55% efficient.
Mark,
You are correct. I was thinking of is upside down and backwards. I wanted to post an answer before double checking the math. I was worried that I got the efficiency rating correct. Trying to do too many things at one time I guess.
I think it may be better to break out the alternator efficiency from the v-belt loss since the v-belt loss is before the input to the alternator loss.
So what do you think of this corrected formula?
Amps x Volts = Watts
Watts / 745.7 (one HP) = Electrical HP Produced by the Alternator
Electrical HP/ Alternator Efficiency (50-60%) = Mechanical HP input into Alternator
Mechanical HP input into Alternator/ V-belt efficiency rating (95-98%) = Crank HP required to product electrical
Example:
20A x 14.5V = 290 Watts
290 Watts / 745.7 = 0.39 HP
0.39 HP/50% = 0.78 HP
0.78 HP/95% = 0.82 Crank HP to produce 20A at 14.5 Volts.
30A x 14.5V = 435 Watts
435 Watts / 745.7 = 0.58 HP
0.58 HP/50% = 1.16 HP
1.16 HP/95% = 1.22 Crank HP to produce 30A at 14.5 Volts.
With a full loss system can any one give us the loss of HP over the length of a National race?
As a side note, you can find more efficient alternators by looking at permanent magnet alternators. These are used on some motorcycles, newer hybrid style cars and in wind/hydro energy. Also turning the alternator at the correct RPM to match your required electrical load has a major effect on the efficiency of the alternator.
Reference Info
The 50-60% efficiency rating for the alternators is referenced from "Horst Bauer Bosch Automotive Handbook 4th Edition Robert Bosch"
The 95-98% efficiency rating for the V-Belt drive comes from Gates Belts FAQ -
http://www.gates.com/facts/documents/Gf000188.pdf