12, 24 or 48 volts? — choosing a system voltage

Compares the three system voltages on current, conductor size and cost. Cross-section scales with 1/U², not 1/U — from 12 to 48 V that is a factor of 16. Set against it is the DC-DC converter that existing 12 V appliances force on you.

Input

Input

Continuous system power — from the load-profile calculator.

One-way length battery–load; the calculation uses out and return conductors.

3% is the usual design value for battery circuits.

Your existing 12 V loads (cooler, pump, lights): at 24/48 V they need a DC-DC converter — its cost enters the comparison.

Market anchor 08/2026: H07V-K 25 mm² ≈ 0.26, 50 mm² ≈ 0.19 € per mm² and metre. Larger sections are cheaper per mm².

Result · Live

Recommended system voltage
48Vfrom total cost incl. DC-DC converter for your legacy 12 V loads
Cross-section factor 12 V to 48 V
16.0cross-section scales with 1/U² — not 1/U
Cable cross-section at 12 V
44.2mm²for the same power and the same voltage drop
Cable cross-section at 48 V
2.8mm²one sixteenth — the reason for higher voltages
  • At this current a higher system voltage is worth a look.CONSIDER_HIGHER_VOLTAGE
  • 111.1 A at 12 V. A higher system voltage reduces cable cross-section by the square.HIGH_CURRENT_LOW_VOLTAGE
  • This size satisfies voltage drop. Ampacity must be checked separately — 27.78 A is required.AMPACITY_SEPARATE_CHECK
Three candidates — the cable cross-section to scale
12 V44.2 mm² 111.1 A cable 100 € DC-DC converter 0 € total 100 € 24 V11.1 mm² 55.6 A cable 32 € DC-DC converter 0 € total 32 € 48 V · recommendation2.8 mm² 27.8 A cable 8 € DC-DC converter 0 € total 8 €

The circles are area-true: from 12 to 48 V the required cross-section shrinks by a factor of 16, because current AND permissible drop per volt combine (1/U²). The recommendation weighs the converter cost for your legacy 12 V loads against it.

Calculation steps
  • Cross-section 12 V to 48 V: A = 2 * rho * L * P / (eta * U^2 * d%/100) = 16
  • Recommended system voltage: min(C_cable + C_converter) = 48 V

The formulas behind the calculator

Every number above can be recomputed: the full calculation path, all assumptions and the data source with retrieval date — plus cross-validation against independent references. Disclosed, not claimed.

An estimate based on the stated assumptions. The final design must be checked by a qualified professional against the rules that apply where you are.

Data as of: 2026-07-15

Every intermediate value with its formula, number and provenance
StepFormulaValueProvenance
Cross-section 12 V to 48 VA = 2 * rho * L * P / (eta * U^2 * d%/100)16 exact
Recommended system voltagemin(C_cable + C_converter)48 Vexact
Formula
A = 2 · ρ(T) · L · P / (η · U² · d%/100)
Valid for
Comparison of the three system voltages via voltage drop (A = 2·ρ·L·P / (η·U²·d%)); cross-sections rounded to the chosen standard’s trade series, costs for both conductors. Cable price as a visible assumption with a market anchor (H07V-K retail 08/2026: €0.19–0.26 per mm²/m; default €0.25). Reference case 1,200 W, 4 m, 3 %: 44.2 / 11.1 / 2.77 mm² — ratio 16:4:1; without legacy 12 V loads 48 V wins (€8 versus €100 of cable), with 240 W of legacy loads and a €150 converter it flips to 12 V.
Not covered
Ampacity (its own calculator — both checks must pass), device availability per voltage level, battery configuration cost (series/parallel, calculator 35), arc risk at higher DC voltages, copper price development.
Data sources
  • Official publications of the standards bodies and state authorities (NFPA, IEC, DKE/VDE, CEN) · retrieved 2026-07-15

Frequently asked questions

Should I build my off-grid system at 12, 24 or 48 volts?

The calculator compares all three voltages on current, required conductor size and cost. It recommends not the electrically superior option but the one with the lowest total cost: if you already own 12 V appliances such as a compressor fridge, water pump and lighting, a 24 or 48 V bus forces a DC-DC converter, whose cost is set against the cable savings.

Why does the required cable size shrink so dramatically at higher voltage?

Cross-section scales with 1/U², not 1/U: the current falls with 1/U, and at the same time the permissible absolute voltage drop grows with U because it is specified as a percentage of system voltage. From 12 V to 48 V that is a factor of 16. In the reference case — 1200 W over 4 m at 3 % — the requirements are 44.2 mm² at 12 V, 11.1 mm² at 24 V and 2.77 mm² at 48 V.

Does this calculator also check cable ampacity?

No — it checks voltage drop only, and it explicitly flags that ampacity is a separate check. Also outside its scope are the availability and price of specific appliances, DC-DC converter efficiency, battery block granularity, and national limits on DC voltages.

Why is the cross-section difference a factor of 16 and not 4?

Because two effects combine: at four times the voltage, a quarter of the current flows — AND the permissible absolute voltage drop (3% of U) is four times larger. Cross-section therefore scales with 1/U². In the spec test case (1,200 W, 4 m, 3%): 44.2 mm² at 12 V, 11.1 mm² at 24 V, 2.77 mm² at 48 V — exactly 16:4:1. The area-true circles in the chart make this physically visible.

When is 12 V still the right choice?

When the device balance says so: compressor coolers, water pumps and lighting are cheapest and most varied as 12 V devices. Going to 24/48 V requires a DC-DC converter for them — whose cost and losses enter the comparison. For small systems with short cables and many 12 V loads, 12 V wins the total-cost calculation despite thicker cables.

From when does a higher voltage become mandatory?

As a rule of thumb via current: from about 100 A continuous (≈ 1,200 W at 12 V) cables, fuses and terminals become unwieldy and expensive, and every joint becomes a heat source. A 3,000 W inverter at 12 V means over 250 A of peak current — there, 24 or 48 V is no longer a matter of taste. The calculator shows the currents per candidate directly in the columns.

Where does the cable price in the cost comparison come from?

It is a visible assumption with a market anchor: in August 2026, fine-stranded H07V-K copper cable retails around €0.26 per mm² and metre at 25 mm² and €0.19 at 50 mm² — larger sections are cheaper per mm². The default of €0.25 sits inside that range. Previously the value was fixed at €0.35 and unreachable through the form, although it decides half the recommendation.

When does 12 volts win despite the 16-fold cross-section?

When existing 12 V appliances would require a DC-DC converter. In the reference case (1,200 W, 4 m) the cables cost €100 at 12 V and €8 at 48 V — but 240 W of legacy 12 V loads plus a €150 converter flip the total: €100 versus €158. Exactly this counter-calculation is missing from rule-of-thumb articles that blanket-recommend 48 V.

Why does the cross-section scale with the square of the voltage?

Because two things change at once: current falls with 1/U, and the permissible absolute voltage drop rises with U, since it is defined as a percentage of system voltage. From 12 to 48 V that is a factor of 4 × 4 = 16 — 44.2 mm² versus 2.77 mm² in the reference case. Looking at current alone, you expect a factor of 4 and are surprised.

Does this calculator also check the cable's ampacity?

No, deliberately not — it calculates voltage drop and says so in its own warning. Ampacity depends on installation method, grouping and ambient temperature and has its own calculator. Both checks must pass; the stricter one wins. At 12 V and 111 A, ampacity is almost always the tighter limit.

Does the calculator take values from the inverter calculator?

Yes: if you entered continuous and peak load there, both arrive pre-filled here — the chaining hands them over via the follow-on link. Conductor material (copper or aluminium), conductor temperature and efficiency are also adjustable since 5 August 2026; before that they existed in the calculation schema but were unreachable through the form.