HP = HP = HP = HP, and 1HP = .746kW, nothing about that changes with voltage.
Agreed. But go with SI and you don't need that conversion factor.
But in a motor circuit, consumed power = power to do the work (which also does not change) + losses in the system. Some losses are fixed, meaning they will not change regardless of voltage, but a big chunk of losses in a power system are what are called "Copper Losses", or "I
2R" losses because they are associated with the resistance in the copper conductors and the current flowing through them. So the more current you have, the more I
2R losses you have. This has nothing to do with voltage, only current. [/quote]
Well, yes, but the current changes with voltage for the same power all else being equal
At 460V, 990HP means roughly 1200A FLC, vs. 990HP at 4160V = means approximately 140A FLC. You will have almost 1/10th the I2R cable losses at 4160V. I2R losses extend to the motor windings and transformer windings as well.
Reducing the current by a factor of ten for the same conductor size would actually reduce the losses by a factor of 100 - remember it's i
2R.
But that isn't really relevant given that conductor sizes will be different for the different voltages.
For the supply conductor losses using appropriately rated cable sized I came up with a figure of about five to one per unit length in favour of the 4160V.
At around 750kW for the motor and maybe 1MVA for a unit transformer, the efficiencies might not be greatly different at the different voltages so maybe those can be taken out of the equation.
As far as I can tell, the big differentiator is the cost of the cabling.