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HP of a compressor is dependent on the quantity of air/gas compressed and the ratio of final pressure to the initial pressue.
It also depends upon whether the compression is carried out isothermally ( at constant temperature 0 or adiabatically (where there would be temperature rise during compression)
For isothermal compression,you can use a simple formaula:
HP = 144 PV ( 2.3026 x log P2/P ) / 33000
where P- atmospheric pressure in psi ( pounds per squre inch)
V - Volume at P in cubic feet per minute
P2 - final pressure in psi
For adiabatic compression you can use:
HP = 0.015 P ( R*0.29 - 1) for single stage compression
= 0.030 P ( R *0.145 -1) for two stage compression
There is a general formula which you can refer to in any handbook for HP depending on the number of stages.
The relation between current (I), Voltage (V) and watts (W) is a simple one and you already have an answer from another source for this.