ALTERNATING AND DIRECT CURRENT FORMULAE

TO FIND

DIRECT CURRENT

ALTERNATING  CURRENT

SINGLE  PHASE

2 PHASE, 4 WIRE*

THREE  PHASE

AMPERES ( I ) WHEN HORSEPOWER ( hp ) IS KNOWN

     746 x hp
I =  ------------
     E x eff
     746 x hp
I  =  --------------
      E x eff x pf
    746 x hp
=  ----------------
      2 x E x eff x pf
746 x hp
I =  ----------------
    1.73 x E x eff x pf

AMPERES ( I ) WHEN KILOWATTS (kW)  IS  KNOWN

     1000 x kW
I =  -------------
E
            1000 x kw
I   =    -------------
        E x pf
      1000kw
I = --------------
     2 x E x pf
       1000 x kw
=   --------------
          1.73 x E x pf

AMPERES ( I ) WHEN KILOVOLT-AMPERES   (kVA ) IS KNOWN

Not Applicable       1000 x kva
I =   --------------
     E
        1000 x kva
I =    --------------
     2 x E
        1000 x kva
I =   --------------
        1.73 x E

KILOWATTS ( kW ) INPUT

          I x E
kw  =   ----------
          1000
             I x E x pf
kw   =   -----------
           1000
         I x E x 2 x pf
 kw  =  --------------
       1000
            I x E x 1.73 x pf
kw =  -------------
        1000

KILOVOLT-AMPERES   (kVA ) 

Not Applicable             I x
kva  =  ----------
            1000
            2 x I x
kva  =  ------------
          1000
            1.73 x I x E
kva  = ------------
           1000

HORESPOWER ( hp ) OUTPUT

         I x E x eff
hp =  ------------
     746
         I x E x eff x pf
hp =  ---------------
       746
           I x E x 2 x eff x pf
hp  =  ----------------
         746

          I x E x 1.73 x eff x pf
hp  =  -----------------
       746

* For two Ø, three wire, balanced circuits the I in the common conductor = 1.41 x that in either of the other two.    I = amperes,  E = Volts ( line to line ),  pf = Power Factor (in decimals),  eff = Efficiency (in decimals),                  kw = Kilowatt Input,  kva = Kilovolt-Ampere Input,  hp = Horsepower Output

Nexans Canada Inc. - D.S. Reith - Applications Specialist - July  29, 2002