Electrical Trade & Electronics Solar, Battery & Backup Power NEC 2023 Table 310.16 for DC conductor ampacity

Inverter Sizing Calculator

An inverter fails in one of two ways: it overheats and shuts down on a load it could not sustain, or it trips instantly on a motor that asked for five times its running current at the moment of start. Those are two separate ratings — continuous watts and surge watts — and buying on the big number printed on the box gets both wrong. This calculator takes your running load list, the power factor those loads present, and the starting behaviour of the largest motor, and returns the continuous and surge ratings you actually need, the DC current the inverter will pull from the battery, and the cable that current requires.

Calculator

This calculator runs in your browser. Enable JavaScript for live results — the inputs, formula and worked example below remain fully readable without it.

Inputs this calculator takes, with typical values
InputWhat to enterExample
Running load, excluding the largest motorAdd up the running wattage of everything you expect to be on at once except the largest motor — lights, electronics, resistive heat, small pumps.1400 W
Running load of the largest motorThe steady running wattage of the single biggest motor — a well pump, a compressor, a table saw. Enter 0 if you have no motor loads.1000 W
Motor starting factorStarting current as a multiple of running current. Use nameplate LRA ÷ running amps when you have it; 3 is a common figure for a soft-starting compressor and 6 for a capacitor-start pump.3 ×
Load power factorRatio of real watts to apparent VA for the combined load. Use 1.0 for purely resistive loads, 0.8–0.9 for a mix that includes motors and switching power supplies.0.9
Design marginHeadroom above the measured running load so the inverter is not sitting at 100% output continuously; 20–25% is normal practice.25 %
Battery bank voltageNominal DC bus voltage. Doubling it halves the DC current and quarters the cable losses for the same AC output.48 V
Inverter efficiencyConversion efficiency at the load you expect to run; a good low-frequency inverter reaches 90–94% near half load and less at very light load.90 %
DC cable length, one wayDistance from the battery terminal to the inverter terminal along the actual cable route, measured one way.5 ft
Allowable DC voltage dropPercentage of nominal battery voltage you are prepared to lose in the cable; inverter makers commonly specify 2% or less on this run.2 %

It returns

  • Continuous rating required — Running load plus your design margin — the number the inverter must sustain indefinitely.
  • Continuous rating in VA — Watts ÷ power factor. Inverters quoted in VA must meet this figure, not the watt figure.
  • Surge rating required — Everything else running while the largest motor starts.
  • DC input current at continuous load
  • DC input current during surge
  • Minimum DC cable size — Larger of the ampacity requirement and the voltage-drop requirement, copper.
  • Cable drop at continuous load

The formula

Idc=PcontVdcη
cmil=2ρLIdcVdrop

In plain text: P_cont = ΣP_run × (1 + margin) ; VA = P_cont / PF ; P_surge = max(P_cont, P_other + P_motor × k) ; I_dc = P_cont / (V_dc × η)

  • P_contContinuous AC power the inverter must sustain (W)
  • PFPower factor of the combined load (—)
  • kMotor starting factor — starting current ÷ running current (×)
  • V_dcNominal battery bank voltage (V)
  • ηInverter conversion efficiency (decimal)
  • ρCopper resistivity constant used for DC cable drop (Ω·cmil/ft)

The surge requirement is a maximum rather than a sum, because the continuous rating already contains the motor's running power; during the start the motor's contribution is replaced by its starting value, not added to it.

Updated Category Solar, Battery & Backup Power Verified against published test cases Reading time 14 min

Continuous watts, surge watts and VA are three different numbers

An inverter carries at least two ratings and often three, and they answer different questions.

Continuous watts is what the unit can deliver indefinitely without its heatsink reaching shutdown temperature. This is the rating your steady load must fit inside, with headroom. Manufacturers sometimes qualify it by ambient temperature, and a unit rated 3,000 W at 25 °C may be rated 2,400 W at 40 °C.

Surge watts is what it can deliver for a second or two while a motor gets moving. Induction motors draw far more current at zero speed than at running speed, because the rotor has not yet developed back-EMF. The nameplate locked-rotor amps figure — LRA — is that current, and dividing it by the running amps gives the starting factor this calculator uses. Typical surge ratings are twice the continuous rating on a high-frequency inverter and three times or more on a low-frequency transformer-based one.

Volt-amperes is what the unit can deliver when the load's current and voltage are out of phase. Watts are the real power a load consumes; VA is the product of RMS volts and RMS amps regardless of phase. An inverter's output stage is limited by current, so a 3,000 VA inverter running a load at 0.8 power factor delivers only 2,400 W. If your equipment list is dominated by motors and switch-mode supplies, size against the VA figure and treat the watt figure as advertising.

The fourth number nobody quotes is the DC input current, and it is the one that determines what the installation costs. Everything on the battery side — cable, fuse, disconnect, busbar, lug — is sized from it, and at 12 V it is four times what the same load draws at 48 V.

How the four numbers are derived

Continuous rating. Add the running wattage of everything that can be on simultaneously, then apply a design margin. Twenty to twenty-five percent is the normal figure, and it exists for two reasons: inverter efficiency falls off near full output, and continuous operation at 100% of rating leaves nothing for the ambient temperature rise inside a battery box in August.

Apparent power. Divide the continuous watts by the load's power factor. A resistive load — a kettle, a filament lamp, a heating element — has a power factor of 1 and needs no adjustment. Induction motors run near 0.8, and cheap switch-mode supplies without power factor correction can present 0.6. Where you are unsure, 0.9 is a defensible whole-house average and 0.8 is a conservative one.

Surge rating. The largest motor starts while everything else is already running, so the peak demand is the other loads plus the motor's starting power. Because the continuous figure already includes the motor's running power, the surge requirement is the larger of the two numbers rather than their sum. If your motor is small relative to the rest of the load, or your starting factor is low because the motor has a soft starter, the continuous rating can end up being the binding constraint — and the calculator says so when it happens.

DC input current. Power in equals power out divided by efficiency, so Idc = Pac ÷ (Vdc × η). Note that this uses the nominal bank voltage. A real lead-acid bank sags toward 11.5 V per 12 V nominal under heavy load, and a battery protection circuit may cut off there, so the actual peak current is higher than the nominal calculation shows. That is one reason the cable ampacity check applies a 1.25 factor.

Cable. Two constraints, and you take the larger conductor. Ampacity must cover 1.25 times the continuous DC current, using the 75 °C copper column of NEC Table 310.16. Cross-sectional area must be big enough that 2·ρ·L·I ÷ cmil stays inside your voltage-drop budget, with ρ = 12.9 for copper and the factor of two accounting for both the positive and negative conductors. On short battery-to-inverter runs the ampacity rule usually governs; past about ten feet the drop rule takes over. The voltage drop calculator handles the same arithmetic for AC circuits.

Worked example: an off-grid cabin with a well pump

The cabin runs 1,400 W of lights, laptop, fridge controls and a small fan continuously. The well pump draws 1,000 W running and has a nameplate LRA three times its running amps. The bank is 48 V, the inverter is 90% efficient, the cable run is five feet, and you allow 2% drop on it. Power factor across the mix is 0.9 and you want a 25% design margin.

  1. Total running load. 1,400 + 1,000 = 2,400 W.
  2. Continuous rating. 2,400 × 1.25 = 3,000 W. A 3,000 W inverter is the minimum; a 3,500 W unit gives room for a future addition.
  3. Apparent power. 3,000 ÷ 0.9 = 3,333 VA. If the unit you are considering is quoted only in VA, it must be at least this.
  4. Load while the pump starts. 1,400 + (1,000 × 3) = 4,400 W, which is larger than the 3,000 W continuous figure, so 4,400 W is the surge requirement. A 3,000 W inverter with a 2× surge rating covers 6,000 W and passes comfortably.
  5. DC input current. 3,000 ÷ (48 × 0.90) = 3,000 ÷ 43.2 = 69.4 A. During the pump start it briefly reaches 4,400 ÷ 43.2 = 101.9 A.
  6. Cable by ampacity. 1.25 × 69.4 = 86.8 A. In the 75 °C copper column, 4 AWG carries 85 A — just short — and 3 AWG carries 100 A. So 3 AWG.
  7. Cable by voltage drop. The budget is 2% of 48 V = 0.96 V. Required area = 2 × 12.9 × 5 × 69.4 ÷ 0.96 = 8,958 ÷ 0.96 = 9,332 circular mils, which is only 10 AWG. Ampacity governs, so 3 AWG stands, and its actual drop is 2 × 12.9 × 5 × 69.4 ÷ 52,620 = 0.170 V, or 0.35%.

Now move the same system to a 12 V bank. The DC current becomes 3,000 ÷ (12 × 0.90) = 277.8 A, the ampacity requirement becomes 347 A, and you are into 400 kcmil or paralleled 4/0 cable with a 400 A class-T fuse. That single change is why almost every modern off-grid system above 2 kW is built at 48 V.

How to read the result before buying

Compare the surge figure to the inverter's surge specification, not to its continuous rating. Manufacturers state surge as a wattage and a duration — for example 6,000 W for 20 seconds, or 9,000 W for 100 milliseconds. A well pump takes one to three seconds to reach speed, so a millisecond-scale peak rating tells you nothing useful. Ask for the figure at one second.

Oversizing has a cost. Every inverter draws idle current whether or not anything is running, typically 10 to 30 W for a 3 kW unit, and that no-load draw scales roughly with the unit's size. On an off-grid system with a small bank, an inverter twice the size you need can consume a meaningful share of your daily production doing nothing. Size for the load you have plus one planned addition, and use the inverter's search or standby mode when the load is intermittent.

Low-frequency and high-frequency inverters are not interchangeable at the same rating. A low-frequency unit uses a heavy iron transformer and typically sustains three times its continuous rating through a motor start; a high-frequency unit is lighter and cheaper but may manage only twice, briefly. If your surge requirement is more than twice your continuous requirement, the transformer-based design is usually the honest choice.

The DC current dictates the whole battery side. Fuse, disconnect switch, busbar and battery terminal hardware are all rated from it, and NEC 690.9 and Article 706 govern the overcurrent protection for battery circuits in a permitted installation. The battery bank sizing calculator checks that the bank can actually deliver that current without excessive voltage sag, which is a different question from whether it stores enough energy.

DC input current by inverter output and bank voltage

Current drawn from the battery at 90% inverter efficiency, computed as output watts ÷ (bank volts × 0.90). Fuse and cable sizing start here.
AC output12 V bank24 V bank48 V bank
1,000 W92.6 A46.3 A23.1 A
1,500 W138.9 A69.4 A34.7 A
2,000 W185.2 A92.6 A46.3 A
3,000 W277.8 A138.9 A69.4 A
4,000 W370.4 A185.2 A92.6 A
5,000 W463.0 A231.5 A115.7 A
6,000 W555.6 A277.8 A138.9 A

Cable losses scale with the square of current, so the same load on a 48 V bank dissipates one sixteenth of the cable heat it would on a 12 V bank through the same conductor. That, not the inverter price, is what makes higher bank voltages cheaper above about 2 kW.

Where inverter sizing goes wrong

  • Adding surge watts to running watts for every appliance at once. Two motors almost never start in the same instant, and sizing as though they do produces an inverter twice the size you need. Take the largest single starting load and add it to the others' running load.
  • Reading the peak rating off the box. The largest number on an inverter's packaging is usually a fraction-of-a-second peak. Size against the continuous rating and check the surge specification at a duration of one second or more.
  • Ignoring power factor. A 3,000 W inverter feeding a 0.8 power factor load runs out of current at 2,400 W. Compute VA and compare it to the VA rating where one is published.
  • Using nominal battery voltage for the fuse. A loaded 48 V bank can sag to 44 V or lower, which raises the current for the same output power. Sizing the DC overcurrent device at 1.25 times the nominal-voltage current absorbs part of that, but a bank with high internal resistance needs the sag measured, not assumed.
  • Forgetting the inverter's own idle consumption. Ten to thirty watts around the clock is 240 to 720 Wh a day, which on a small off-grid system can exceed the load you actually cared about.
  • Sizing cable on ampacity alone on a long run. Past about ten feet at typical off-grid currents, voltage drop rather than heating becomes the binding constraint, and a cable that is legal can still cause nuisance low-voltage shutdowns.
  • Assuming a generator can be sized the same way. Generators have their own motor-starting behaviour driven by alternator design and engine governor response; see the generator sizing calculator rather than reusing this result.

Where the starting factor comes from

The only authoritative source for a motor's starting current is its nameplate — either an LRA figure in amps or an NEMA code letter that maps to a kVA-per-horsepower range. Divide LRA by running amps to get the factor this calculator wants. Where the nameplate is unavailable, practitioners commonly assume around three for a scroll or soft-started compressor and five to six for a capacitor-start induction motor such as a shallow-well pump; treat those as rules of thumb to be replaced by real data, not as design values. A variable-frequency drive or a listed soft starter changes the picture entirely, often bringing the starting factor close to one and removing the surge constraint from the design.

What this calculation does not decide

Sizing the inverter answers how much power you can draw at once. It says nothing about how long — that is the battery's job, and it depends on capacity, depth of discharge and the bank's ability to hold voltage at the current you are pulling. Run the battery runtime calculator next; a 5 kW inverter on a 100 Ah 48 V bank is a perfectly valid pairing that will run a 4 kW load for well under an hour.

It also says nothing about replacement energy. On an off-grid system the array has to put back everything the loads take out plus the round-trip losses, and that sizing runs through the solar panel array sizing calculator and the solar charge controller sizing calculator. Inverter capacity and daily energy are independent specifications; systems fail on either.

Finally, a grid-interactive or hybrid inverter is sized differently again, because its AC output can be supplemented from the grid during a surge and its continuous rating may be split between pass-through and inverting capacity. The numbers here apply cleanly to a standalone inverter running from a battery, which is the configuration in a cabin, a van, a boat, or a whole-house backup system in island mode.

Key terms

Locked rotor amps (LRA)
The current a motor draws at the instant of start, before the rotor turns and develops back-EMF. Found on the motor nameplate; dividing it by running amps gives the starting factor used here.
Power factor
The ratio of real power in watts to apparent power in volt-amperes. It is 1 for resistive loads and lower where current and voltage are out of phase or the current waveform is distorted.
Surge rating
The output an inverter can sustain for a stated short period. Always paired with a duration; a peak quoted without one is not a usable specification.
No-load draw
The DC power an inverter consumes when it is on but supplying nothing. Typically 10–30 W on a 3 kW unit, and the reason standby or search mode exists.
Bank voltage
The nominal DC voltage of the battery string — 12, 24 or 48 V. For a given AC output, DC current is inversely proportional to it, and cable heat is inversely proportional to its square.

Frequently asked questions

What size inverter do I need for a 2,000 W load?

At least 2,500 W continuous, assuming a 25% design margin and no motor starting requirement. If any of that 2,000 W is a motor, add the motor's starting power in place of its running power and check the result against the inverter's surge specification. And if the load includes motors or unfactored switching supplies, divide by the power factor as well: 2,500 W at 0.8 is 3,125 VA, and an inverter's current limit is what actually binds.

Do I add surge watts to running watts?

Only for the single largest motor. The correct figure is everything else's running power plus that one motor's starting power, because motors rarely start simultaneously and the calculation should reflect the worst realistic instant rather than an impossible one. Adding every appliance's surge together typically doubles the inverter you buy for no benefit.

Should I use a 12 V, 24 V or 48 V battery bank?

Below about 1,000 W, 12 V is fine and matches automotive components. Between 1,000 and 2,000 W, 24 V halves the current and the cable cost. Above 2,000 W, 48 V is the practical choice: a 3,000 W load pulls 278 A at 12 V but only 69 A at 48 V, which is the difference between paralleled 4/0 cable with a 400 A fuse and a single 3 AWG cable with a 100 A fuse.

Why is my inverter's watt rating lower than its VA rating?

Because the output stage is limited by current, and watts equal volts times amps times power factor. A 3,000 VA inverter delivers 3,000 W only into a purely resistive load; at 0.8 power factor it delivers 2,400 W while carrying exactly the same current. Manufacturers who quote both are being precise, not evasive — check which figure your load list needs.

What size cable do I need between the battery and the inverter?

Whichever is larger of the ampacity requirement and the voltage-drop requirement. Ampacity: take 1.25 times the continuous DC current and read the 75 °C copper column. Drop: required circular mils = 2 × 12.9 × one-way feet × amps ÷ the volts you are willing to lose. For a 3,000 W load on a 48 V bank over five feet, that is 3 AWG on ampacity and only 10 AWG on drop, so 3 AWG wins.

How much does inverter efficiency actually matter?

It sets your DC current and therefore your cable, fuse and battery drain. Going from 90% to 85% efficiency raises the DC current by about 6% for the same AC output, which can push you up a cable size. Over a day it also raises battery consumption by the same proportion. Use the efficiency at the load you actually run, not the peak figure from the datasheet's best point.

Can I run a well pump on a 2,000 W inverter?

Only if the inverter's one-second surge rating covers the pump's starting power with the rest of your load already running. A 1,000 W pump with a 6× starting factor needs 6,000 W available at the instant of start, which a 2,000 W high-frequency inverter will not supply. A low-frequency inverter with a 3× surge, a soft starter on the pump, or a larger inverter are the three ways out.

Does the calculator account for battery voltage sag under load?

No — it uses the nominal bank voltage, so the DC current it reports is the value at nominal voltage. Real current rises as the bank sags, which is why the cable ampacity check applies a 1.25 factor rather than sizing on the bare figure. If your bank has high internal resistance, measure the terminal voltage under your actual load and re-run with that value in place of nominal.

Is a pure sine wave inverter necessary?

For motors, transformers, medical equipment, some LED drivers and anything with a mains-referenced clock, yes. Modified square wave output makes induction motors run hotter and less efficiently, and some electronics will refuse to start on it. For purely resistive loads it makes no difference at all. The sizing arithmetic on this page is the same either way; only the waveform quality differs.

References