Cables & Distribution · Engineering guide

LV Busbar Sizing Explained

Understand current, rectangular bar geometry, short-circuit heating and the verification required for a safe LV switchboard.

THE CORE IDEA

A busbar carries large currents within switchboards and distribution systems. A safe design depends on the material, conductor shape, operating temperature, joints, supports and short-circuit duty — not just the total mm².

KiloVolt's first LV busbar tool provides a preliminary rectangular conductor-area screening. It does not give an IEC 61439-verified continuous current rating or mechanical short-circuit rating.

Try Busbar Sizing →Original diagrams · formulas · practical validation checklist
01 · Scope

What does this busbar calculator actually size?

Our first version covers bare rectangular copper and aluminium bars used in low-voltage AC distribution assemblies. You can start with a known design current or three-phase transformer kVA, then choose the number of bars per phase.

Its job is to determine a reasonable starting cross-section by comparing two independent areas: an engineer-selected current-density screening assumption and an approximate short-time adiabatic heating requirement. The larger of these sets the minimum area for the preliminary selection.

Don't confuse this with a published ampacity table. Two bars with the same cross-section can have different operating temperatures because their width, thickness, orientation, spacing and enclosure change heat dissipation. The result is not a certified busbar current rating.
02 · Geometry

Width, thickness and parallel bars

Single rectangular barwidth × thickness
Width (w), mmtArea of one bar = w × t
Width and thickness determine conductor area, but surface area and arrangement also influence cooling.
Parallel bars per phase2 × 80 × 10 mm example
L1L2L33 phases · 2 parallel bars / phase
These are schematic arrangements only. Spacing, support design, orientation and jointing still need verification.

A rectangular bar is described by width × thickness. For a 100 × 10 mm bar, one bar contains 1,000 mm² of metal. With two identical bars per phase, the combined geometric area is 2,000 mm² per phase.

Aphase=n w tA_{\mathrm{phase}}=n\,w\,t

The number of bars does not guarantee perfectly equal current sharing. AC skin and proximity effects, bar spacing and joint design can change each bar's share, while mechanical supports must accommodate the entire arrangement.

The calculator focuses on the commonly encountered 5 mm and 10 mm rectangular bar thicknesses, with widths of 20–120 mm and one to four bars per phase. You can restrict it to 5 mm or 10 mm, or let it evaluate both. It chooses the smallest combined metal area satisfying the two preliminary tests; this is not a manufacturer's assembled-busbar recommendation.

03 · Design load

From LV transformer kVA to busbar current

For three-phase transformer nameplate apparent power, the full-load current at the secondary rated voltage is:

ILV=SkVA×10003 ULL,VI_{LV}=\frac{S_{\mathrm{kVA}}\times1000}{\sqrt3\,U_{LL,\mathrm V}}

A 1,600 kVA transformer at 400 V gives about 2,309 A on the LV side. No power factor is required when the rating is already in kVA. Use the actual demand and operating arrangement if the busbar is not intended to carry the full transformer output.

Alternatively, select Current (A) and enter the design current directly. The load selector converts between A and kVA without introducing cos φ.

04 · Operating heat

Why A/mm² cannot prove continuous ampacity

The simplified initial area check is:

AJ=IBJscreenA_J=\frac{I_B}{J_{\mathrm{screen}}}

Here Jscreen is an editable planning value such as the initial 1.2 A/mm² for Cu or 0.8 A/mm² for Al. These are illustrative sizing heuristics, not IEC current capacities, and should not be interpreted as a general safe rating for enclosed switchboards.

Actual temperature rise depends on I²R heat, conductor temperature, exposed surface area, emissivity, air circulation, neighbouring phases, joints, support insulation and the enclosure. The European Copper Institute design guide explains these mechanisms and shows why shape matters. See the Copper for Busbars design guide.

LV assemblies are covered by the IEC 61439 series; temperature-rise verification must use the applicable verified design or permitted verification method. A simple area density factor cannot replace it.

05 · Short-circuit

Will the bar survive the fault heat?

During a short circuit, current can rise to tens of kiloamperes. In an approximate adiabatic metal-heating model, the required conductor area is:

Ak=IktkA_k=\frac{I_k\sqrt{t}}{k}

The coefficient k changes with material and the selected initial/final conductor temperatures. For bare metals the calculator uses:

k=Cln⁡ ⁣(B+θfB+θi)k=C\sqrt{\ln\!\left(\frac{B+\theta_f}{B+\theta_i}\right)}
Copper, C and B226 · 234.5°CAluminium, C and B148 · 228°CIllustrative temperature range70 → 160°CCalculated k at defaultsCu 115 · Al 76

The 25 kA / 1 s default is only an example. Actual prospective fault current, effective heating duration and thermal limits must be determined for the installation. The final temperature assumption is not automatically permitted for bolted joints, plated connections, busbar supports or insulation.

Important: A short-circuit current-limiting protective device may justify a different I²t approach, but only with validated device data. The present calculator uses a constant RMS current and time, rather than simulating actual fault waveforms.
06 · Mechanical withstand

What the fault-current kA input does not prove

Short-circuit current creates electromagnetic forces between the phases. These depend strongly on the peak current Ipk, not only the RMS fault current. Phase-to-phase spacing, support span, bar orientation and support strength determine whether a bar bends or breaks its mountings.

IEC 60865-1 provides calculation methods for the thermal and mechanical effects of short circuits. The present screening checks conductor heat only and does not calculate dynamic stress, peak withstand current or support forces.

For IEC 61439 switchboards, use a properly verified assembly configuration and its manufacturer documentation. Never label a busbar assembly “25 kA withstand” merely because this calculator says the conductor metal meets the adiabatic area screen.

07 · Example

1,600 kVA transformer, 400 V, copper busbars

Assume 1,600 kVA at 400 V, an illustrative Cu screening density of 1.2 A/mm², fault level 25 kA for 1 s, 70°C initial temperature and 160°C final temperature.

ILV=1 600×1 0003×400≈2 309.4 AI_{LV}=\frac{1\,600\times1\,000}{\sqrt3\times400}\approx2\,309.4\,\mathrm A
AJ=2 309.41.2≈1 924.5 mm2A_J=\frac{2\,309.4}{1.2}\approx1\,924.5\,\mathrm{mm}^2
Ak≈25 000115.0≈217.4 mm2A_k\approx\frac{25\,000}{115.0}\approx217.4\,\mathrm{mm}^2

Here the area-based current-density screen is the governing condition, not the fault-heating screen.

Minimum geometry (screening)2 × 100 × 10 mm15% headroom geometry (screening)2 × 120 × 10 mm

Neither of these dimensions should be ordered or installed without verifying the assembled-panel temperature rise, mechanical withstand and the manufacturer's permitted bar arrangement.

08 · Final design

What must be checked before an installation is approved

Thermal verification under IEC 61439

Confirm actual current rating and temperature rise for the enclosure, ventilation, ambient temperature, bar location and joint design.

Peak and short-time withstand

Verify Ipk, Icw, short-circuit duration, bar supports and phase clearances with a verified assembly or applicable IEC 60865 method.

Electrical and mechanical details

Check bolted joints, contact resistance, support material, spacing, phase isolation, dielectric clearance and creepage.

System components

Size the neutral and PE separately for their actual duties; consider harmonics, unbalance, terminations and protective-device coordination.

09 · Common mistakes

Mistakes to avoid

Calling 1.2 A/mm² a safe busbar ampacity

Current density alone cannot predict cooling or temperature rise. It is only a preliminary selection parameter here.

Copying a bare-bar rating into a sealed panel

Ventilation and nearby components can change the rating dramatically. Use an IEC 61439-verified assembly design.

Ignoring peak short-circuit forces

Thermally surviving a 25 kA fault does not prove mechanical withstand.

Assuming all parallel bars carry equal current

Joints, AC skin/proximity effects and geometry can cause unequal loading.

Assuming any 160°C fault temperature is permitted

The actual conductor, joints, supports and insulation may have lower short-time limits.

10 · References

Standards and engineering references

IEC 61439-2 — LV power switchgear assemblies

Official IEC publication →. Governs requirements for low-voltage switchgear and controlgear power assemblies.

IEC 60865-1 — Effects of short-circuit currents

Standard scope / calculation methods →. Addresses thermal and mechanical effects of short circuits.

European Copper Institute — Copper for Busbars

Design and installation handbook →. Thermal design, joints, arrangement and reliability.

ABB SACE — Adiabatic conductor material constants

Electrical Devices handbook, Annex D →. Describes the copper/aluminium constants used in the ideal conductor-heating expression; actual bar limit temperatures are separate design assumptions.

BEAMA — IEC 61439 verification guidance

Industry verification guide →. Guidance for temperature-rise and short-circuit verification.

Published engineering references guide the model but do not replace a current licensed standard, manufacturer design verification or responsible engineering review.

READY TO CALCULATE?

Explore rectangular LV busbar sizes

Compare current-based area screening and adiabatic fault heating with transparent equations, then verify the proposed geometry against your panel assembly design.

Open LV Busbar Sizing →