Three-Phase Motor Voltage Drop Calculator
Calculate voltage drop for three-phase motors with starting current considerations
Three-Phase Motor Quick Facts
- Three-phase voltage drop uses 0.866 factor (√3/2) on tabulated mV/A/m values
- Motor starting current typically 6-8× full load current (FLC) for DOL start
- Star-delta starting reduces inrush to ~2× FLC but requires 6-wire connection
- BS 7671 allows transient voltage drop during starting - design for running current
- Large motors may need voltage drop <3% for reliable starting
Values from BS 7671 Table 4D1B (PVC copper at 70°C)
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Common Motor Installation Scenarios
11kW motor - short run (30m)
22A FLC with 6mm² (7.3 mV/A/m). At 30m 3Ø: (7.3 × 22 × 30 × 0.866) ÷ 1000 = 4.17V (1.04% on 400V) ✓
22kW motor - medium run (50m)
42A FLC with 10mm² (4.4 mV/A/m). At 50m: (4.4 × 42 × 50 × 0.866) ÷ 1000 = 8.00V (2.00%) ✓
37kW motor - industrial (75m)
69A FLC with 25mm² (1.75 mV/A/m). At 75m: (1.75 × 69 × 75 × 0.866) ÷ 1000 = 7.84V (1.96%) ✓
55kW motor - long run (100m)
100A FLC with 35mm² (1.25 mV/A/m). At 100m: (1.25 × 100 × 100 × 0.866) ÷ 1000 = 10.83V (2.71%) ✓
75kW+ motor with soft starter
Soft starters limit inrush to 3-4× FLC. Size cable for running current, verify starting torque adequate for load.
Related Industrial Calculations
For single-phase motor loads, use our main voltage drop calculator. Need to size cable for current capacity first? Try our cable sizing calculator. For heat pump compressors specifically, see our heat pump voltage drop guide.
Three-Phase Voltage Drop Calculation
Three-phase circuits use the same mV/A/m values from Table 4D1B but apply a 0.866 factor (√3/2). This accounts for the phase relationship in balanced three-phase systems. Formula: VD = (mV/A/m × I × L × 0.866) ÷ 1000. The percentage is calculated against 400V line voltage, not 230V phase voltage.
Motor Installation Costs (2024)
Typical UK industrial installation costs. Excludes motor cost.
| Installation Scenario | Materials | Labour | Total |
|---|---|---|---|
| Small motor circuit (<15kW) | £200-400 | £300-500 | £500-900 |
| Medium motor (15-37kW) | £400-800 | £500-800 | £900-1600 |
| Large motor (37-75kW) | £800-1500 | £700-1200 | £1500-2700 |
| Soft starter installation | £600-2000 | £400-800 | £1000-2800 |
| VFD/inverter drive | £1000-5000 | £500-1000 | £1500-6000 |
Prices as of 2024. Industrial installations vary significantly by site conditions.
Motor Starting Current Impact
Direct-on-line (DOL) motor starting draws 6-8 times full load current for several seconds. A 22kW motor (42A FLC) may draw 250-340A during starting. This transient causes significant voltage drop that can affect other equipment. While BS 7671 doesn't set limits for starting voltage drop, excessive drop prevents motors starting or causes contactors to drop out.
DOL vs Reduced Voltage Starting
Direct-on-line (DOL) starting is simplest but causes maximum inrush current and voltage drop. Star-delta reduces inrush to ~33% but needs special motor winding configuration. Soft starters offer adjustable ramp-up (typically 3-4× FLC). VFDs provide smoothest starting (~1× FLC) plus speed control but highest cost. Choice depends on supply capacity, driven load requirements, and budget.
Motor Circuit Discrimination
Motor circuits must coordinate with upstream protection to ensure only the faulty circuit trips during a fault. This "discrimination" prevents a motor fault from tripping the main incomer. Use time-graded or current-graded discrimination. Motor protection relays typically have adjustable trip times to achieve coordination.
Frequently Asked Questions
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