CalcSpec

UPS Runtime Calculator

Estimate battery backup duration from DC voltage, amp-hour capacity, depth of discharge, UPS efficiency, power factor, and connected load. Useful for generator ride-through and graceful-shutdown planning.

Typical DoD
80%
Typical UPS efficiency
95%
Common target
5–15min
Bus voltage
480VDC
Toggles load-unit interpretation
Nominal DC bus voltage
Sum across parallel strings
Inverter conversion efficiency, e.g. 0.95
Used if load entered as kVA
Critical load served by the UPS
Typically 80% for planning margin
Runtime
109.5min
01:49 hh:mm
Battery energy available
76.8kWh
Effective load
42.1kW
Clock time
01:49
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Data Center Toolkit runs this math at the rack

Tip At high discharge rates, batteries deliver less than nameplate Ah (Peukert effect). Compare this estimate with the vendor's discharge curve at your actual kW level before finalizing autonomy.

Worked example

480 VDC battery bus, 200 Ah total, 80% DoD, 95% UPS efficiency, 40 kW critical load on a unity-PF inverter.

1. Battery energy E = (V × Ah × DoD) / 1000 E = (480 × 200 × 0.8) / 1000 = 76.8 kWh 2. Effective load (inc. UPS losses) Eff_load = RealLoad / η Eff_load = 40 / 0.95 = 42.1 kW 3. Runtime t = 76.8 / 42.1 = 1.824 hr ≈ 109.5 min (01:49)
Warn Peukert's law correction. The estimated runtime assumes the battery's nameplate Ah is delivered at the design discharge rate. For sub-15-minute runtimes (typical UPS sizing), Peukert's law applies — actual capacity is significantly lower than the 20-hour Ah rating.
Peukert: t = C × (C/I)(k − 1) / I,  with k > 1
Battery chemistryPeukert kCapacity at 5-min load vs 20-hr rating
VRLA (sealed lead-acid)1.20 – 1.40~ 60 – 70 % delivered
AGM (telecom-grade)1.15 – 1.25~ 70 – 80 % delivered
Li-ion (LFP / NMC)1.02 – 1.05~ 95 – 99 % delivered
For a 5-minute runtime estimate from a 20-hour Ah on VRLA, multiply calculated runtime by ~ 0.65. Li-ion needs no Peukert correction at typical UPS discharge rates.
Tip For a defensible runtime sizing on lead-acid, follow IEEE 485 (vented) or IEEE 1184 (VRLA stationary) — both include cell-aging factors and discharge-curve corrections beyond simple Ah math. Manufacturer discharge curves (e.g. C&D Technologies, EnerSys datasheets) override these estimates for the specific cell at the specific load.

Typical UPS battery configurations

UPS sizeString voltageAh rangeRuntime @ full load
10 kVA192 – 240 VDC26 – 65 Ah5 – 20 min
20 kVA240 – 384 VDC40 – 100 Ah5 – 15 min
40 kVA384 – 480 VDC50 – 150 Ah5 – 15 min
80 kVA480 VDC75 – 200 Ah5 – 12 min
160 kVA480 – 540 VDC100 – 300 Ah5 – 10 min
300+ kVA480 – 540 VDC150 – 600+ Ah3 – 10 min

Common mistakes

Warn Runtime is a design target, not an SLA. Actual autonomy depends on temperature, discharge rate, cell balance, and age. Confirm against the battery vendor's discharge tables at the real planned load.

FAQ

What is UPS runtime?

How long a UPS can support its connected load from batteries after utility power is lost.

How long should a UPS run?

No universal target. Many sites design for 5–15 minutes to bridge generator startup; remote or unmanned sites may need longer.

What affects UPS runtime?

Battery voltage and Ah, DoD, UPS efficiency, PF, temperature, age, discharge rate, and actual load profile during the outage.

Why use 80% depth of discharge?

To avoid depending on the last 20% of capacity, which is least reliable due to aging and temperature effects.

How does load affect runtime non-linearly?

High loads reduce usable Ah (Peukert's law), so runtime drops faster than a perfectly linear estimate suggests.

Sources

IEEE 1184 — Selection and Sizing of Batteries for UPS IEEE 485 — Sizing Lead-Acid Batteries for Stationary Applications Mfr C&D Technologies / EnerSys discharge curve datasheets NEMA UPS product standards Uptime Ride-through & autonomy guidance
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Related

CalcSpec is an estimator. Final battery sizing must be verified against vendor discharge curves at the actual discharge rate, with allowances for aging, temperature, and end-of-life cell voltage.