Calculate voltage drop and check BS 7671 compliance for electrical installations
Check if your cable installation meets BS 7671 voltage drop requirements
Voltage drop calculation is essential for ensuring electrical installations comply with BS 7671 regulations. This guide explains the complete process for UK electrical systems.
BS 7671 Regulation 525 specifies maximum voltage drop limits:
To calculate voltage drop, you need:
The formula differs between single-phase and three-phase systems:
Single-Phase Formula:
For 230V single-phase circuits (most domestic installations)
Three-Phase Formula:
For 400V three-phase circuits (commercial/industrial)
Then convert to percentage: (Voltage Drop ÷ Nominal Voltage) × 100
The millivolt drop per amp per meter (mV/A/m) is found in BS 7671 tables:
These values account for both conductor resistance and reactance at operating temperature. For the complete tables, see the BS 7671 voltage drop reference tables.
Important: BS 7671 itself does not publish the voltage drop formula — it only publishes the mV/A/m values. The formula Vd = (mV/A/m × L × I) ÷ 1000 is derived from Ohm's law (V = IR), with mV/A/m representing the complex impedance (resistance + reactance) per metre. UK trade practice for domestic work commonly skips temperature correction and uses tabulated values directly as a conservative worst-case.
Given: 32A shower, 15m cable run, 6mm² twin & earth, 230V
Step 1: From Table 4D5, 6mm² cable = 7.3 mV/A/m
Step 2: Calculate voltage drop:
Vd = (7.3 × 15 × 32) ÷ 1000 = 3.504V
Step 3: Convert to percentage:
(3.504 ÷ 230) × 100 = 1.52%
✓ Result: 1.52% is under the 5% limit - compliant with BS 7671
Quick reference voltage drop values (mV/A/m) from BS 7671 for common UK cable types. These values are used in voltage drop calculations.
| Cable Size | mV/A/m | Example: 10m @ 20A | Max Length @ 5% |
|---|---|---|---|
| 1.0mm² | 44 mV/A/m | 8.8V (3.8%) | 26m @ 20A |
| 1.5mm² | 29 mV/A/m | 5.8V (2.5%) | 40m @ 20A |
| 2.5mm² | 18 mV/A/m | 3.6V (1.6%) | 64m @ 20A |
| 4.0mm² | 11 mV/A/m | 2.2V (1.0%) | 52m @ 32A |
| 6.0mm² | 7.3 mV/A/m | 1.46V (0.6%) | 79m @ 32A |
| 10.0mm² | 4.4 mV/A/m | 0.88V (0.4%) | 87m @ 40A |
Reference: BS 7671 Table 4D5 (2-core cables with protective conductor, 70°C thermoplastic)
| Cable Size | mV/A/m (2-core) | mV/A/m (3-core) | Typical Use |
|---|---|---|---|
| 2.5mm² | 18 mV/A/m | 18 mV/A/m | Garden lighting |
| 4.0mm² | 11 mV/A/m | 11 mV/A/m | Garage sub-mains |
| 6.0mm² | 7.3 mV/A/m | 7.3 mV/A/m | EV chargers, outbuildings |
| 10.0mm² | 4.4 mV/A/m | 4.4 mV/A/m | Large outbuildings |
| 16.0mm² | 2.8 mV/A/m | 2.8 mV/A/m | Commercial sub-mains |
Reference: BS 7671 Table 4D4A (Armoured 70°C thermoplastic cables)
💡 Quick Tip: Lower mV/A/m values mean less voltage drop. For long cable runs, use larger cable sizes to reduce voltage drop and stay within BS 7671 limits.
Follow these worked examples to understand voltage drop calculations for common UK installations.
Scenario:
Calculation:
mV/A/m for 2.5mm² = 18 mV/A/m (Table 4D5)
Vd = (18 × 28 × 20) ÷ 1000 = 10.08V
Percentage = (10.08 ÷ 230) × 100 = 4.38%
✓ Result: 4.38% - Within 5% limit for power circuits
Scenario:
Calculation:
mV/A/m for 1.5mm² = 29 mV/A/m (Table 4D5)
Vd = (29 × 35 × 5) ÷ 1000 = 5.075V
Percentage = (5.075 ÷ 230) × 100 = 2.21%
✓ Result: 2.21% - Within 3% limit for lighting
Scenario:
Initial Calculation (6mm²):
mV/A/m for 6mm² SWA = 7.3 mV/A/m (Table 4D4A)
Vd = (7.3 × 40 × 32) ÷ 1000 = 9.344V
Percentage = (9.344 ÷ 230) × 100 = 4.06%
Upgrade to 10mm²:
mV/A/m for 10mm² SWA = 4.4 mV/A/m
Vd = (4.4 × 40 × 32) ÷ 1000 = 5.632V
Percentage = (5.632 ÷ 230) × 100 = 2.45%
✓ Solution: Upgrade to 10mm² SWA for 2.45% voltage drop
Note: 6mm² would work for runs under 28m at 32A
Three-phase voltage drop calculations follow BS 7671 Appendix 4 Section 6, but use a √3 factor and a distinct 3-phase mV/A/m column. This section covers the formula, how 3-phase compares to single-phase for the same cable, and a full worked example for a typical UK commercial sub-main. For full 3-phase cable sizing (including motor FLCs, starting-current considerations, and 4-core SWA derating tables), use the 3-Phase Cable Size Calculator.
Variables:
Convert to % of 400V line-to-line:
BS 7671 limits: 3% lighting (12V), 5% other (20V) on 400V systems.
A 22kW load on single-phase 230V draws 95.7A; the same 22kW balanced across three phases draws only 31.8A per phase. Because voltage drop is proportional to current, spreading the load cuts drop dramatically — even after applying the √3 factor. This is why industrial and commercial installations are almost always 3-phase over any distance.
| Scenario | Current | Cable | Vd over 40m | As % of Vnom |
|---|---|---|---|---|
| 22kW single-phase, 230V | 95.7A | 16mm² T&E | 10.7V | 4.66% |
| 22kW 3-phase, 400V (balanced) | 31.8A/phase | 6mm² 4-core SWA | 14.1V | 3.52% |
The 3-phase cable is also a third of the single-phase cross-section. Copper cost is lower, cable weight is lower, and the 30mA RCD sizing is easier.
Scenario:
Step 1 — Identify mV/A/m (3-phase):
16mm² 4-core SWA, 3-phase column (Table 4D4B) = 2.4 mV/A/m
Step 2 — Apply formula:
Vd = (2.4 × 55 × 63 × √3) ÷ 1000 = 14.41V
Step 3 — Convert to percentage of 400V:
(14.41 ÷ 400) × 100 = 3.60%
Step 4 — Check against budget:
✗ Fails the 2% sub-main budget — upsize to 25mm² 4-core SWA.
Step 5 — Recalculate with 25mm²:
25mm² 4-core SWA 3-phase mV/A/m = 1.5
Vd = (1.5 × 55 × 63 × √3) ÷ 1000 = 9.00V
As % of 400V = 2.25% — still slightly over. Try 35mm²:
35mm² mV/A/m = 1.10; Vd = (1.10 × 55 × 63 × √3) ÷ 1000 = 6.60V = 1.65% ✓
✓ Final answer:
Use 35mm² 4-core SWA for 1.65% drop on the sub-main, leaving 3.35% headroom for final circuits in the sub-DB. Protective device: 63A 3-pole MCCB or BS 88-3 fuse.
Steel wire armoured (SWA) cable is the default for UK outdoor and underground runs — outbuildings, garages, EV chargers, sub-mains and industrial circuits. Its voltage drop values are essentially identical to same-size copper PVC cables because the armour carries no phase current, but several SWA-specific factors affect real-world voltage drop calculations.
| Size | 2-core (1φ) | 3-core (1φ) | 4-core (3φ) | Typical application |
|---|---|---|---|---|
| 2.5mm² | 18 | 18 | 15 | Garden lighting, small outbuildings |
| 4.0mm² | 11 | 11 | 9.5 | Garage sub-mains, small workshops |
| 6.0mm² | 7.3 | 7.3 | 6.4 | 7kW EV chargers, hot tubs, 22kW 3φ EV |
| 10mm² | 4.4 | 4.4 | 3.8 | Long EV runs, larger outbuildings |
| 16mm² | 2.8 | 2.8 | 2.4 | Commercial sub-mains, workshop feeds |
| 25mm² | 1.75 | 1.75 | 1.50 | 100A TP&N sub-mains |
| 35mm² | 1.25 | 1.25 | 1.10 | Long-distance 3φ sub-mains |
Values for 70°C PVC-insulated SWA cables reproduced from BS 7671:2018 Table 4D4B. BS 7671 publishes two voltage-drop columns: two-core single-phase AC and three-/ four-core three-phase AC. For a 3-core SWA used on a single-phase circuit (L/N/E) the accepted industry convention is to use the two-core single-phase value shown here — the extra core carries no current. 90°C XLPE SWA (BS 6724 / Table 4E4B) values are within 3% of these figures at design temperature. For 25mm² and above, the tabulated z is the total complex impedance (resistance + reactance).
Scenario:
Try 10mm² 2-core SWA:
Vd = (4.4 × 65 × 40) ÷ 1000 = 11.44V = 4.97% ✗ (over 3% target)
Try 16mm² 2-core SWA:
Vd = (2.8 × 65 × 40) ÷ 1000 = 7.28V = 3.17% ✗ (still just over)
Try 25mm² 2-core SWA:
Vd = (1.75 × 65 × 40) ÷ 1000 = 4.55V = 1.98% ✓
✓ Final answer:
Use 25mm² 2-core SWA for 1.98% drop. Over 65m, the copper cost difference between 10mm² and 25mm² is significant (~£200 extra) but saves a site visit if the EV charger rejects the installation due to voltage fluctuation. For 3-phase (22kW charger): 10mm² 4-core SWA delivers ~2.1% drop over the same run — a much cheaper option.
When a voltage drop calculation exceeds BS 7671 limits (or your design target), upsizing the cable is the default fix — but it isn't always the cheapest or cleverest option. These are the five remediation strategies UK electricians use in practice, ranked roughly from simplest to most involved.
The default fix. Moving from 6mm² to 10mm² roughly halves voltage drop (4.4 → 7.3 mV/A/m — approximately 60% reduction). Typical extra cost: £2–6/m for the extra copper. Works best when the run isn't already at the maximum cable size the terminals will accept (2.5mm² at socket terminals, 10–16mm² at MCB terminals).
Voltage drop is directly proportional to length. A 20% shorter route = 20% less drop. On long runs with unnecessary detours (over, around and back through loft spaces), re-routing can solve marginal cases for free. Also consider running cables through floors instead of around them, or using external wall routes where compliant.
If most circuits are long because the consumer unit is tucked in a corner cupboard, relocating the CU closer to the load centre (e.g. central utility room instead of far-corner garage) can reduce average run length by 30–50%. Typical cost: £200–500 plus meter-tail extension. Applies disproportionately to older bungalows and 1970s-plan semis where the CU ended up next to the incoming service head for convenience.
For large installations (multi-unit residential, commercial, outbuildings, barns), a heavy sub-main to a second DB at the load centre is often cheaper than oversizing every final circuit. Run a 25mm² SWA sub-main to the new DB, then short 2.5mm² and 6mm² final circuits locally. Key Regulation 433.2.2: each DB must have its own overcurrent protection at origin.
If one 32A circuit is failing voltage drop at 40m, two 20A radial circuits at the same length and cable size will easily comply — each carries less current, and voltage drop is proportional to current. Especially useful for kitchen circuits (split high-current appliances across two 20A radials), long outbuilding circuits, and EV chargers where a second dedicated circuit can future-proof the installation.
If the run is under 30m and one cable size bigger fixes the calculation — upsize. If the run is over 50m and you need to go up three cable sizes — split to two circuits or add a sub-main. If the whole installation has long runs — relocate the distribution board. Voltage drop is a design problem, not just a cable-size problem.
BS 7671 Appendix 12 specifies voltage drop from the origin of the installation (the DNO cutout or private supply origin) to the final point of use — not per circuit. Real installations use multiple voltage-drop stages. A thoughtful budget allocates the 5% allowance across those stages so no one stage consumes the entire headroom.
| Installation Type | Tails | Sub-main | Final circuit | Total (max) |
|---|---|---|---|---|
| Small domestic (single CU) | ~0.5% | — | ≤4.5% | 5% (power) |
| Domestic + outbuilding DB | ~0.5% | ≤2% | ≤2.5% | 5% (power) |
| Small commercial (meter → DB → finals) | ~0.5% | ≤1.5% | ≤3% | 5% (power) |
| Commercial lighting (to furthest fitting) | ~0.5% | ≤1% | ≤1.5% | 3% (lighting) |
| Industrial 3-phase (main panel → sub-DB → motor) | — | ≤1.5% | ≤3.5% | 5% (power) |
| Private LV supply (site generator, large solar) | up to 1% | up to 3% | up to 4% | 8% (private) |
Voltage drop isn't a cosmetic number — it's real power dissipated as cable heat, governed by Ploss = I²R. At 5% drop, roughly 5% of delivered power is wasted in the cable. For heavily-loaded commercial circuits, the energy cost of undersized cables can justify upsizing within a few years.
| Circuit | Load hours/yr | Vd | Est. cable energy loss (£/yr at 30p/kWh) |
|---|---|---|---|
| Domestic ring final, 20A typical | ~500h | 3% | ~£0.70 |
| Commercial office lighting, 30A | ~3,000h | 3% | ~£21 |
| Industrial 100A 3φ sub-main | ~4,000h | 5% | ~£400 |
| Data centre 3φ sub-main, 300A continuous | ~8,760h | 5% | ~£7,800 |
Estimates assume balanced resistive load and average 30p/kWh commercial electricity. Regulation 132.5 and BS 7671 Appendix 17 encourage design below the 5% ceiling specifically to reduce this energy waste. Upsizing one cable step often pays back in under 5 years on high-duty-cycle circuits.
Design rule: always verify voltage drop at the furthest point of use, not just at the sub-DB input. For lighting circuits the stricter 3% limit applies — so commercial lighting designs often run finals in 1.5mm² instead of 1.0mm² specifically to keep cumulative drop under 3%.
Professional electricians need to understand these advanced concepts for complex installations and edge cases that affect voltage drop compliance.
The Electricity Safety, Quality and Continuity Regulations (ESQCR) 2002 define UK supply voltage limits that affect how you budget voltage drop.
| Nominal | Tolerance | Range |
|---|---|---|
| 230V | +10% / -6% | 216.2V to 253V |
| 400V (3-phase) | +10% / -6% | 376V to 440V |
The Critical Insight: If supply arrives at 216.2V (minimum allowed), a 5% installation drop leaves only 205.4V at the load. Many appliances specify minimum 207V operation. For critical loads, aim for 3-4% total drop, not 5%.
BS 7671 limits apply to total voltage drop from origin to load, not just the final circuit. For installations with sub-distribution boards, you must budget carefully.
Voltage Drop Budget Example:
Total allowed: 5% (11.5V)
Sub-main (meter to DB): 1.5% (3.45V)
Final circuit (DB to socket): 3.5% (8.05V)
Total: 5.0% ✓ Compliant
Common Mistake: Calculating final circuit drop without checking what drop already exists on the sub-main. A 40m sub-main at 100A on 25mm² cable already uses 2.1% of your budget.
The mV/A/m values in BS 7671 tables account for more than just conductor resistance. They include the complex impedance at operating temperature.
What mV/A/m Includes:
Temperature Correction:
For precise design calculations, BS 7671 Appendix 4 provides separate r (resistance) and x (reactance) components for complex impedance calculations.
Induction motors draw 6-8 times Full Load Current (FLC) during Direct-On-Line (DOL) starting. This causes temporary voltage drop that can affect starting performance.
| Running Vd | Starting Vd (×7) | Impact |
|---|---|---|
| 2% | 14% | Acceptable |
| 3% | 21% | Marginal |
| 5% | 35% | May stall |
Rule of Thumb: For motors, limit running voltage drop to 2-3% so starting drop stays under 20%. Use soft starters or VFDs for long cable runs.
For resistive loads (heaters, kettles), the simple mV/A/m calculation is accurate. For inductive loads (motors, transformers), power factor affects both current and voltage drop characteristics.
Impact on Design:
For accurate motor circuit design: Use the actual current (Watts ÷ Volts ÷ PF) not the theoretical resistive current, when calculating voltage drop.
EV chargers present unique voltage drop challenges because they operate at high current for extended periods, often at the end of long cable runs.
7.4kW Charger (32A)
22kW Charger (32A 3-phase)
OZEV grant regulations require voltage drop compliance certification. Oversizing cable avoids costly corrections and future-proofs for higher-power chargers.
Electric showers are particularly sensitive to voltage drop because the heating element output is proportional to V². A 5% voltage drop causes approximately 10% reduction in heating power.
Power Reduction Example (9.5kW shower):
At 230V:
9.5kW output
At 218.5V (5% drop):
8.55kW output (-10%)
At 210V (8.7% drop):
7.9kW output (-17%)
Recommendation: For electric showers, aim for maximum 3% voltage drop to maintain adequate hot water temperature, especially in winter.
When designing circuits, consider voltage drop early in the process:
Use this calculator to verify that your cable installation meets BS 7671 voltage drop requirements before energizing the circuit.
Voltage drop is the reduction in voltage that occurs as electrical current flows through a conductor due to the conductor's resistance. Excessive voltage drop can cause:
This calculator checks compliance with BS 7671:2018+A2:2022 Regulation 525 - Voltage drop in consumers' installations.
Under normal service conditions, the voltage drop between the origin of the installation (usually the supply terminals of the consumer unit) and any socket outlet or other point of utilization shall not exceed the values given in Appendix 12:
The calculator uses the following formula:
Where: I = Current (A), L = Length (m), R = Resistance (Ω/m)
Note: Voltage drop is only one consideration. Cable selection must also account for current-carrying capacity, overcurrent protection, and fault protection requirements.
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