Cable Sizing Calculation for Electrical Loads

 I.     Three-Phase Load Calculation

·        Step 1: Determine the Load Current

The load current can be calculated using the formula: I = P / (√3 × V × Power Factor)

Where:

P = 15,000 W (15 kW)

V = 400 V (three-phase) Power Factor = 0.9 Calculation:

I = 15,000 / (√3 × 400 × 0.9)

24.0 A

·        Step 2: Select the Type of Cable For PVC-insulated cables:

2.5 mm² PVC cable handles around 20 A 4 mm² PVC cable handles around 30 A

Selected: 4 mm² PVC cable (provides a safety margin above 24.0 A).

·        Step 3: Check Voltage Drop

The voltage drop can be calculated using the formula: Voltage Drop = (√3 × I × L × R) / 1000

Where:

I = 24.0 A L = 100 m

R = 5.09 Ω/km for 4 mm² cable Calculation:

Voltage Drop = (√3 × 24.0 × 100 × 5.09) / 1000


21.3 V

·        Step 4: Percentage Voltage Drop

Percentage Voltage Drop = (21.3 V / 400 V) × 100

5.33%

II.     Single-Phase Load Calculation

·        Step 1: Determine the Load Current

The load current can be calculated using the formula: I = P / (V × Power Factor)

Where:

P = 15,000 W (15 kW)

V = 230 V (single-phase) Power Factor = 0.9 Calculation:

I = 15,000 / (230 × 0.9)

72.5 A

·       Step 2: Select the Type of Cable

For PVC-insulated cables:

10 mm² PVC cable handles around 70 A 16 mm² PVC cable handles around 90 A

Selected: 16 mm² PVC cable (provides a safety margin above 72.5A).

·        Step 3: Check Voltage Drop

The voltage drop can be calculated using the formula: Voltage Drop = (2 × I × L × R) / 1000

Where:

I = 72.5 A L = 100 m


R = 1.21 Ω/km for 16 mm² cable Calculation:

Voltage Drop = (2 × 72.5 × 100 × 1.21) / 1000

17.5 V

·        Step 4: Percentage Voltage Drop

Percentage Voltage Drop = (17.5 V / 230 V) × 100

7.6%

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