On this page15 sections
- 01Why the worst seconds of an outage size the inverter, not the average evening
- 02Concepts to hold first
- 03The mechanical instant behind the electrical one
- 04Seconds of excess, settling to the evening
- 05The multiplier belongs to the equipment
- 06Which verdict buys the machine
- 07How the method works
- 08Try it, verified
- 09What each input represents
- 10Worked example
- 11Reading the result
- 12Common mistakes
- 13Questions readers arrive with
- 14When this calculation is used
- 15Assumptions and guards
Why the worst seconds of an outage size the inverter, not the average evening
Motor starting is a mechanical fact before it is an electrical one. At standstill a motor develops no back-voltage to oppose the supply, so current floods the windings until the rotor gathers speed — a demand lasting fractions of a second to a few seconds, largest for compressors and pumps that must start against pressure or a head of water. The multiplier condenses that episode into one number: peak demand as a multiple of running draw.
Inverters quote a surge rating precisely because this episode is survivable by design: semiconductors tolerate brief excursions their thermal limit forbids indefinitely. But the tolerance is seconds, and its protection is a trip — an undersized machine meeting a compressor start does not struggle valiantly, it disconnects, and the whole backed-up circuit goes dark at exactly the moment backup was the point.
The multiplier belongs to the equipment, not to folklore. Manufacturers publish the inrush or locked-rotor figure for their own machines, soft-start and variable-speed drives exist precisely to shrink it toward one, and the pack’s supplied default is declared illustrative for exactly that reason. The declared band runs from a multiplier of one — equipment that starts gently — to five, and stepping outside it is refused rather than sized.
Whether the surge or the steady figure buys the machine depends on the circuit. Lighting and electronics barely start harder than they run; a borehole pump can demand its multiple of everything else combined. The honest procedure sizes both — the census page for the evening, this page for its worst seconds — and shops to the larger verdict, while the declared reverse workflow answers the question backwards: given a machine’s quoted peak, the continuous draw whose starting it can absorb.
Concepts to hold first
The flood of current a motor draws in the moments after it is switched on, before the spinning rotor builds the opposition that tames it. It lasts fractions of a second to a few seconds, and for the hardest-starting equipment it is the largest demand the circuit ever makes.
The motor at standstill, drawing its maximum: with the rotor not yet turning, no back-voltage opposes the supply, and the windings take everything offered. Manufacturers publish the figure because it is the worst case their equipment presents — and the honest source for the multiplier this calculation uses.
The starting episode condensed into one number: peak demand as a multiple of running draw. It belongs to the equipment, not to folklore — hard-starting compressors sit near the top of the plausible band, soft-started and inverter-driven machines near the bottom.
The peak power an inverter delivers briefly — a separate promise from its continuous rating, made possible because semiconductors tolerate short excursions their thermal limit forbids indefinitely. The tolerance is seconds, and its protection is a trip, not a struggle.
The mechanical instant behind the electrical one
Motor starting is a mechanical fact before it is an electrical one. A spinning motor generates its own opposing voltage — the faster the rotor, the stronger the opposition — and that opposition is what keeps its running current modest. At standstill there is none: the supply meets bare windings, current floods in, and it keeps flooding until the rotor gathers enough speed to push back. Everything this calculation sizes happens inside that interval.
How hard the interval bites depends on what the motor starts against. A fan spins up from rest against nothing but air; a refrigeration compressor may start against trapped pressure, and a borehole pump against a standing head of water. Load at the shaft stretches the episode and deepens it, which is why compressors and pumps dominate every honest conversation about backup power, and why the same nominal kilowattage can start gently in one appliance and brutally in another.
The episode is brief — fractions of a second to a few seconds — and that brevity is exactly why it hides from casual observation. Nothing about a refrigerator’s monthly energy bill hints at what its compressor demands at the instant of waking. The grid absorbs these moments without comment, which is how households live with them unknowingly for decades; an inverter has no such depth behind it, and meets each one alone.
A motor at standstill has no back-voltage, so current floods the windings and the peak demand lands on the inverter
The chain of the starting instant: a rotor not yet turning offers no opposition, the windings take everything the supply can give, and the resulting peak is the inverter’s problem for as long as it lasts.
Seconds of excess, settling to the evening
Plotted against time, the starting episode is a spike that decays: demand leaps to its peak at the instant of switch-on, then falls away as the rotor accelerates and its growing opposition throttles the current, settling finally at the modest running draw the previous lesson sized. The whole drama is over in seconds. But the peak is real, the inverter must deliver it for as long as it lasts, and a machine that cannot does not degrade gracefully — it protects itself.
That protection is the part worth staring at. An overloaded inverter does not sag like a tired generator or dim the lights like a weak grid; it detects the excursion beyond what it can deliver and disconnects. The compressor never starts, the lights it was carrying go out with it, and the failure arrives not as a warning but as a dark and silent circuit — mid-outage, which is the only time the machine was needed at all.
This is why the surge verdict cannot be derived from the steady one. Two circuits with identical evening draws can differ severalfold at the starting instant, depending entirely on what kind of equipment wakes on them. The steady figure says nothing about the spike; only the equipment’s own starting behaviour does.
The starting peak decays in steps as the rotor gathers speed and back-voltage builds, settling to the running draw
The worst seconds, settling: from the peak at switch-on, the demand steps down as the motor spins up, and ends at the steady figure the previous lesson sized. The inverter must survive the top of this staircase, not its floor.
The multiplier belongs to the equipment
The calculation condenses the whole episode into one ratio — peak demand as a multiple of running draw — and the honest value of that ratio is printed on a nameplate, not remembered from a forum. Manufacturers publish inrush or locked-rotor figures for their own machines because their machines differ: a hard-starting compressor and a soft-started identical twin can sit at opposite ends of the plausible band, and folklore cannot tell them apart.
The band itself is instructive. It runs from a multiplier of one — equipment that starts no harder than it runs, which is what lighting, electronics and resistive heaters do — up to a declared ceiling for the hardest starters, and the engine refuses to step outside it. Soft-starters and variable-speed drives exist precisely to walk equipment down this band: they bring the motor up gradually so the opposition builds before the demand does, and fitting one can be dramatically cheaper than the larger inverter it makes unnecessary.
The load term deserves one conservative habit: the peak lands ON TOP of whatever is already flowing. When one motor dominates an otherwise light circuit, its running power is the natural entry; when several loads share the circuit, the draw already flowing at the instant the largest motor wakes is the honest base, because the inverter must deliver both at once.
Which verdict buys the machine
The inverter pair ends in a comparison, not a formula. The previous lesson returned the steady rating the evening requires; this one returns the peak the worst seconds demand; and the machine is bought to whichever verdict is larger. Lighting-and-electronics circuits barely start harder than they run, and the steady figure wins quietly. A circuit with a borehole pump on it can demand its multiple of everything else combined, and the starting figure buys the machine outright.
Hold the result against the SURGE line of each candidate’s datasheet, never its continuous line — and read how long the quoted surge is honoured, because the promise is a peak for a stated brevity, and equipment that grinds up to speed under heavy load can outlast a short window at a demand the peak alone does not describe. The declared reverse workflow serves the machine already owned: fix its quoted peak, and the engine returns the running draw whose starting moment it can absorb — the honest audit before adding anything with a motor to a circuit that already has a home.
How the method works
The continuous load — the draw the starting event lands on top of — is multiplied by the surge/inrush multiplier, the equipment’s peak starting demand expressed as a multiple of its running draw.
The product is the peak power, in kilowatts, the inverter must deliver for the seconds the start lasts — the figure to hold against the surge line of a datasheet.
The declared reverse workflow runs the relation backwards: fix a machine’s quoted peak, and it returns the continuous draw whose starting moment that peak absorbs.
The certified engine performs this calculation. This page explains what it does; it does not reproduce it, because a second implementation of a specified method is a second answer waiting to disagree with the first.
Try the worked scenario
The calculator below is the same certified engine the calculator page runs — fetched, verified and mounted mid-lesson. It arrives pre-filled with the pack’s own anchor: a backed-up circuit whose dominant motor is a hard-starting compressor at the pack’s illustrative multiplier. Swap in your own equipment’s nameplate multiplier and watch the peak move; then try the low multiplier a soft-starter promises, and see how much inverter that one fitting saves.
Read the result against the SURGE line of a datasheet, never the continuous line — it is the peak the machine must deliver briefly, not a rating it must sustain. Every figure shown is computed by the verified engine as you type; nothing on this page stores an answer.
What each input represents
The running draw the starting event lands on top of, in kilowatts. When one motor dominates the circuit this is its running power; when several loads share it, the draw already flowing at the instant the largest motor starts is the conservative entry, because the inverter must deliver both at once.
Peak starting demand as a multiple of running draw, from the equipment manufacturer’s inrush or locked-rotor figure — the pack declares its supplied default illustrative, and the honest value is the nameplate’s, not a rule of thumb. Soft-started and inverter-driven equipment sits near the bottom of the declared band; hard-starting compressors near the top.
Worked example
The scenario
Run the pack’s anchor duty: a 3 kW backed-up circuit whose dominant motor starts at the default multiplier of 2 — a hard-starting compressor absorbed mid-evening.
The figure that returns is the peak, in kilowatts, the inverter must deliver for the seconds the start lasts — the number to hold against the SURGE line of a datasheet, never its continuous line. A machine whose quoted peak clears it rides the start through; one sized only for the census page’s verdict meets the same instant as an overload trip. Whichever page returns the larger demand is the one that picks the hardware.
The pack’s other declared duties bracket the judgement: a 5 kW circuit starting at a multiplier of 3 shows how a pump-heavy site becomes surge-limited, while a gentle 1.5 kW circuit at 2.5 shows a small census still doubling and more at the instant of starting.
Reading the result
The peak is a brief demand, not a thermal one: a machine whose quoted surge clears it rides the start through, even though its continuous rating may sit far below the same figure. Comparing it against the wrong datasheet line fails in both directions.
Set this verdict beside the census lesson’s before shopping, and buy to the larger. On circuits with compressors or pumps, this one usually wins — which is why correctly census-sized machines still trip on the first hot afternoon.
A peak that dwarfs every affordable machine is a design finding, not a dead end: it says the multiplier, not the load, is the lever — a soft-starter on the offending equipment, or a gentler-starting replacement, attacks the peak directly.
Common mistakes
Sizing the inverter on the steady census alone. The starting instant is invisible in an energy bill and absent from a rating-plate sum, and it is the moment that trips machines sized without it.
Comparing the result against the continuous line of a datasheet. The surge line is a different promise for a different duration, and the two can differ by the whole width of the multiplier band.
Taking the multiplier from folklore instead of the nameplate. The figure belongs to the specific equipment — its compressor, its starting load, whether a soft-start device is fitted — and the pack declares its supplied default illustrative for exactly that reason.
Entering only the motor’s own draw when other loads share the circuit. The peak lands on top of whatever is already flowing, and the inverter must deliver both at once.
Forgetting the bank behind the machine. A surge the inverter survives must still be fed, and a small or cold battery can sag before the semiconductors complain — that limit belongs to the bank’s own datasheet, not to this relation.
Questions readers arrive with
Where do I find my equipment’s inrush multiplier?
On the equipment itself or in its documentation: manufacturers publish inrush or locked-rotor figures for their own machines. The pack’s supplied default is declared illustrative — a placeholder for the nameplate’s number, not a substitute for it.
Why was my multiplier refused?
The engine holds the multiplier to a declared band. Below one is impossible — equipment cannot demand less at the instant of starting than while running, and a fraction there usually means the multiplier and an efficiency figure swapped places. Above the ceiling, the entry is more likely a locked-rotor AMPERE figure copied where a ratio belongs, and the guard surfaces the confusion instead of sizing a machine around it.
Do two motors starting at once need a bigger peak?
The relation models one starting event at a time — the multiplier applies to the whole continuous draw, and a genuine simultaneous start of two large motors is a coincidence it does not model. Where that coincidence is designed in rather than accidental, staggering the starts is the standard remedy, and cheaper than sizing for it.
Is a soft-starter worth fitting?
The calculator answers that directly: rerun with the reduced multiplier the device promises and compare the two peaks. When the harder-starting figure is what forces the next inverter size up, the soft-starter is frequently the cheaper purchase by a wide margin.
My inverter survives the surge — is the episode over?
Almost. The peak must also be FED: the bank behind the machine delivers the current the surge implies, and a small or cold battery can sag first. That limit lives in the bank’s own documentation, and the journey’s closing calculator sizes the bank that stands behind everything this cluster has planned.
When this calculation is used
Sizing backup for any circuit with a compressor on it — refrigeration, freezers, air conditioning, heat pumps — where starting demand dwarfs running demand.
Specifying for well pumps, sump pumps and workshop machines, the classic loads that trip an inverter sized only on its steady census.
Auditing a machine already owned — the declared reverse workflow returns the running draw whose starting moment its quoted peak absorbs.
Judging whether a soft-starter is worth fitting: rerun with the reduced multiplier the device promises and compare the verdicts.
Assumptions and guards
One starting event at a time: the multiplier is applied to the whole continuous draw, and two motors starting in the same instant is a coincidence the relation does not model.
The surge is assumed brief enough to live inside the inverter’s quoted surge window; equipment that starts slowly under heavy load can outlast the window at a demand the peak alone does not describe.
The multiplier is taken as constant, though real inrush varies with supply voltage, temperature and the pressure the motor starts against.
The bank behind the inverter is assumed able to deliver the peak current the surge implies — a small or cold battery can sag first, and that limit belongs to the bank’s own datasheet, not to this relation.
A multiplier below one is refused — the pack ships that refusal as a declared test vector. Equipment cannot demand less at the instant of starting than while running, and a fraction here almost always means the multiplier and an efficiency figure have swapped places.
The multiplier is capped at five: beyond that band the entry is more likely a locked-rotor AMPERE figure copied where a ratio belongs, and the guard surfaces the confusion instead of sizing a machine around it.
The continuous load must be positive and below a utility-scale cap, so an empty circuit or a watt-for-kilowatt slip is refused rather than turned into a peak no dwelling could ever demand.