UPS runtime, with the math in view.
Default inputs: 1,000 W load · 4 × 12 V, 100 Ah batteries · 90% efficiency · 80% remaining capacity.
Usable energy (Wh) = battery-bank energy × (UPS efficiency % ÷ 100) × (remaining battery capacity % ÷ 100)
Current calculation
12 V × 100 Ah × 4 batteries × 1 strings = 4,800 Wh4,800 Wh × (90% ÷ 100) × (80% ÷ 100) = 3,456 Wh3,456 Wh ÷ 1,000 W = 3.46 h; rounded to the nearest minute = 3 h 27 min
- Nominal bank energy
- 4,800 Wh
- Usable energy after factors
- 3,456 Wh
- Runtime in seconds
- 12,441.6 seconds
Assumptions and limits
- The bank starts fully charged.
- The load is constant real power measured in watts.
- Series and parallel capacity arithmetic is ideal.
- Nameplate Ah is treated as available energy before the explicit efficiency and remaining-capacity factors.
- No chemistry-specific Peukert or discharge-rate curve is applied.
- No temperature correction is applied.
- No inverter cutoff, battery-management limit, power-factor or inrush behavior, or manufacturer calibration is modeled.
Every result is an estimate for planning only—not a substitute for a licensed engineer’s design or manufacturer data.
The toolkit / 08 calculators
Eight planning calculators. One clear method.
Built for engineers, facility managers, technicians, MEP consultants, and students who want to inspect the reasoning—not just copy a number.
Not for: stamped construction documents, final equipment selection, or model-specific runtime guarantees. Use a licensed engineer and manufacturer data for those.
Browse all calculators- 01
UPS runtime
Estimate runtime from load, battery-bank configuration, UPS efficiency, and remaining capacity.
Read the UPS runtime calculator guideLOAD · BANK CONFIGURATION · EFFICIENCY · REMAINING CAPACITY
- 02
Cooling load
Build a cooling-load estimate from IT demand, lighting, people, and the building envelope.
Read the data center cooling load calculator guideIT LOAD · LIGHTING · PEOPLE · ENVELOPE
- 03
Rack power
Plan rack power density and evaluate PDU capacity around the intended load.
RACK DENSITY · POWER · PDU CAPACITY
- 04
PUE
Estimate power usage effectiveness, data center infrastructure efficiency, and non-IT overhead from facility and IT power.
FACILITY POWER · IT POWER · PUE · DCiE
- 05
Generator sizing
Estimate standby generator kW and kVA requirements with running-load, power-factor, margin, and motor-start inputs.
RUNNING LOAD · POWER FACTOR · MARGIN · MOTOR START
- 06
Cooling airflow
Estimate sensible airflow in CFM from heat load and temperature rise.
SENSIBLE LOAD · TEMPERATURE RISE · AIRFLOW
- 07
Dew point & humidity
Find dew point, relative humidity and grains of moisture, and check condensation margin against the ASHRAE recommended envelope.
TEMPERATURE · RELATIVE HUMIDITY · DEW POINT
- 08
kW / kVA / amps
Convert between kW, kVA and amps for single- and three-phase circuits, with power factor shown.
kW · kVA · AMPS · POWER FACTOR
Comparing tools? LoadCairn vs vendor UPS calculators · vs spreadsheets · vs generator sizing software
Install once, work anywhere
Take LoadCairn into the data hall
Install LoadCairn on your phone or laptop. All eight calculators work offline, so you can size a UPS or check dew point in an electrical room or basement with no signal.
- Works offline: UPS runtime, cooling load, airflow, rack power, generator sizing, kW/kVA/amps, PUE and dew point
- Opens full-screen from your home screen, like a native app
- Free, no app store, no account needed
A result you can review
No black-box numbers.
Each calculation keeps its working in frame, so a planning estimate can be understood in context and checked against the source information that matters to your facility.
Every result is traceable to its formula and its published source (ASHRAE, NIST or manufacturer data), so you can defend the number in a design review.
- 01 / TRACE
Inputs
The values and conditions behind the estimate stay visible.
- 02 / TRACE
Formula + source
See how the calculation is formed and where its method comes from.
- 03 / TRACE
Assumptions
Review the limits and assumptions before using the result for planning.
Every result is an estimate for planning only—not a substitute for a licensed engineer’s design or manufacturer data.
Calculator FAQsIndividual or team
Calculate freely. Keep the work when you need to.
Every calculator is free for individual, unsaved use. Paid plans add the tools to retain work, share it, and bring it into project records.
Included with paid plans
- Saved projects
- Branded PDF reports
- CSV exports
- Shared team workspaces
Your saved estimates stay yours: export them as CSV at any time. Read the privacy policy.
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