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Voltage drop at 50 Hz of multicore cables
                  with circular copper conductors
                                       Vc at 50 Hz in mV/A.m
Conductor Size                    at a conductor temperature of 75 °C
   in mm2                     1Φ Value                   3Φ Value

      1                        51.63                       44.7
     1.5                       33.03                       28.6
     2.5                       18.02                       15.6
      4                        11.22                       9.71
      6                          7.5                       6.49
     10                         4.46                       3.86
     16                         2.81                       2.43
     25                         1.78                       1.54
     35                         1.28                       1.11
           These figures are based on Table 42 of AS3008. 1.
                     lΦ value = 3Φ value x l.155
Vd = Vc x L x I

      1000
Vd = 2.43 x 20 x 60 = 2.916 Volts

        1000
Voltage drop in mains on a three-phase 400
volt basis = 2.916 Volts.
Vd = Vc x L x I

 1000
Vd = 4.46 x 30 x 50 = 6.69 Volts

 1000
Voltage drop in final sub-circuit on a single-
phase 230 V basis = 14.5 volts.
Vd = 2.916 + (6.69x1.732)
Vd = 2.916 +11.59 =14.5 V on a three-phase
400 V basis.

Answer: Voltage drop = 14.5 V on a three-
phase 400 V basis.
2.916
Vd = (       )+ 6.69 = 1.68+ 6.69 = 8.37 V

      1.732
Answer: Voltage drop = 8.37 V on a single-
phase 230 V basis.
Three-phase mains voltage: 5% of 400 = 20 V

   Single-phase voltages: 5% of 230 = 11.5 V
Voltage drop in mains x 100 = % of allowable total voltage drop

        20

2.916 x 100 = 14.58 % of allowable total voltage drop for mains.
    20
Voltage drop in final sub-circuit x 100 = % of allowable total voltage drop

 
             20

6.69 x 100 = 58.17% of allowable voltage drop for final sub-circuit.

 11.5
Total voltage drop = 14.58 + 58.17
    Total voltage drop = 72.75%


Converting to a three-phase 400 V value

72.75 x 20 = 14.5 Volts on a three-phase 400 V basis

 100

Answer: Voltage drop = 14.5 Volts on a three-phase
400 V basis.
Total voltage drop = 14.58 + 58.17
     Total voltage drop = 72.75%


Converting to a single-phase 230 V value

72.75 x 11.5 = 8.37 Volts on a single-phase 230 V basis

 100

Answer: Voltage drop = 8.37 Volts on a single-phase
230 V basis

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5.3.6 Worked Example 1

  • 1. Voltage drop at 50 Hz of multicore cables with circular copper conductors Vc at 50 Hz in mV/A.m Conductor Size at a conductor temperature of 75 °C in mm2 1Φ Value 3Φ Value 1 51.63 44.7 1.5 33.03 28.6 2.5 18.02 15.6 4 11.22 9.71 6 7.5 6.49 10 4.46 3.86 16 2.81 2.43 25 1.78 1.54 35 1.28 1.11 These figures are based on Table 42 of AS3008. 1. lΦ value = 3Φ value x l.155
  • 2.
  • 3.
  • 4.
  • 5. Vd = Vc x L x I 1000 Vd = 2.43 x 20 x 60 = 2.916 Volts 1000 Voltage drop in mains on a three-phase 400 volt basis = 2.916 Volts.
  • 6. Vd = Vc x L x I 1000 Vd = 4.46 x 30 x 50 = 6.69 Volts 1000 Voltage drop in final sub-circuit on a single- phase 230 V basis = 14.5 volts.
  • 7. Vd = 2.916 + (6.69x1.732) Vd = 2.916 +11.59 =14.5 V on a three-phase 400 V basis. Answer: Voltage drop = 14.5 V on a three- phase 400 V basis.
  • 8. 2.916 Vd = ( )+ 6.69 = 1.68+ 6.69 = 8.37 V 1.732 Answer: Voltage drop = 8.37 V on a single- phase 230 V basis.
  • 9. Three-phase mains voltage: 5% of 400 = 20 V Single-phase voltages: 5% of 230 = 11.5 V
  • 10. Voltage drop in mains x 100 = % of allowable total voltage drop 20 2.916 x 100 = 14.58 % of allowable total voltage drop for mains. 20
  • 11. Voltage drop in final sub-circuit x 100 = % of allowable total voltage drop 20 6.69 x 100 = 58.17% of allowable voltage drop for final sub-circuit. 11.5
  • 12. Total voltage drop = 14.58 + 58.17 Total voltage drop = 72.75% Converting to a three-phase 400 V value 72.75 x 20 = 14.5 Volts on a three-phase 400 V basis 100 Answer: Voltage drop = 14.5 Volts on a three-phase 400 V basis.
  • 13. Total voltage drop = 14.58 + 58.17 Total voltage drop = 72.75% Converting to a single-phase 230 V value 72.75 x 11.5 = 8.37 Volts on a single-phase 230 V basis 100 Answer: Voltage drop = 8.37 Volts on a single-phase 230 V basis