Battery capacity sizing
Battery capacity covers two related ideas: rated Ah (what the battery delivers) and Reserve Capacity (RC, the SAE J537 metric used for car batteries). Sizing calculator preset, RC vs CCA reference, C-rate explainer, six chemistries with Peukert-aware sizing. Reviewed by a licensed PE.
Use the battery capacity calculator
The Sizing tab is selected by default. Enter required runtime, load (in W or A), system voltage, and chemistry — the calculator returns the required Ah, the equivalent Wh / kWh, and how many standard 100 Ah modules in parallel you need.
- Linear runtime (no Peukert)
- —
- Peukert-corrected runtime
- —
- Usable energy at DoD
- — Wh
- Total stored energy
- — Wh
- C-rate (load / capacity)
- —
- Estimated cycles to 80%
- —
- Estimated weight
- — kg
- Standard 100 Ah modules
- —
The capacity sizing formula
- C
- required rated capacity, Ah
- I
- load current (P / (V × η_inv) for AC), A
- t
- required runtime, h
- DoD
- depth-of-discharge fraction, —
- f_Peukert
- Peukert factor at this rate, —
- m
- safety margin (e.g. 0.25), —
Worked example: 500 W backup for 8 hours
UPS-style backup: 500 W AC continuous load, 8 hours, 24 V LFP, 80% DoD, 95% inverter efficiency, 25% safety margin.
| Step | Calculation | Result |
|---|---|---|
| DC current at 24 V (with inverter loss) | 500 / (24 × 0.95) | 21.9 A |
| Linear Ah needed | (21.9 × 8) / 0.80 | 219 Ah |
| LFP Peukert factor | k = 1.05, near linear | ~1.0 (negligible) |
| Add safety margin | 219 × 1.25 | 274 Ah |
| Round to standard modules | 3 × 100 Ah parallel | 300 Ah |
| Total energy stored | 300 × 24 | 7.2 kWh |
How to size a battery, step by step
- List the load to be supplied. Steady continuous power (W) plus any peaks. Use the average for sizing, not the peak — peaks need momentary capacity not Ah headroom.
- Set the required autonomy time. How many hours / days the battery must last between recharge. Solar systems: 1–3 days backup. UPS: 5–30 minutes. Off-grid cabin: 2–5 days for cloudy weather.
- Pick the battery voltage. Higher V = lower current = smaller wires. Common: 12 V (small / mobile), 24 V (mid), 48 V (off-grid solar / EV class).
- Pick the chemistry and DoD. Lead 50%, AGM/Gel 80%, LFP 80–90%. Higher DoD = less capacity needed but fewer cycles. Cost per kWh × cycle life is the right comparison.
- Compute required Ah. Ah = (load_W × hours) / (V × DoD × inverter_eff × Peukert_factor). Add 20–25% safety margin for ageing.
- Round up to standard module sizes. Real batteries come in 50 / 100 / 200 / 300 Ah modules. Pick a count that gives ≥ required Ah, parallel them.
Variants and special cases
Reserve capacity (RC)
Time in minutes a fully charged battery delivers 25 A before voltage drops to 10.5 V. Standard for starter batteries; converted via RC ≈ Ah × 2.4. Use Ah at C/20 rate for deep-cycle sizing instead — RC is too rate-specific.
Related concepts on this site
Capacity quick reference
| Topic / question | Quick answer |
|---|---|
| Capacity of battery formula | Sizing: Ah = (I × t) / DoD; energy: Wh = Ah × V. The capacity of battery formula is the same for every chemistry — chemistry only changes the DoD limit and Peukert exponent. |
| Calculate capacity of battery | The "calculate capacity of battery" workflow: Ah = (load_amps × runtime_hours) / DoD; multiply by 1.20–1.25 for ageing margin. |
| Cable capacity calculator / current carrying capacity of cables / current carrying capacity cable | For cable current capacity (NEC ampacity per Table 310.16, IEC 60364, BS 7671): use the wire-size calculator — that page is the dedicated cable capacity calculator. |
| Rating capacity | The rating capacity of a battery is the manufacturer-specified Ah at the standardised C-rate (typically C/20 for lead-acid, C/5 for LFP). Real capacity at a different rate is reduced by the Peukert effect. |
| Motor capacity | Motor "capacity" = rated horsepower or kW from the nameplate, the maximum continuous mechanical output. For motor branch sizing see the MCA / MOP calculator. |
| Floor loading capacity calculator | Structural floor loading is unrelated to battery capacity — for floor live-load capacity per IBC / ASCE 7-22 see the ASCE 7 reference page. |
| What factors affect carrying capacity | For batteries: chemistry, temperature, age (cycle count), discharge rate (Peukert), and DoD limit. For cables: ambient temperature, conductor count in the raceway, insulation type, and installation method (NEC 310.16 derating). |
| Unit of capacity of battery | The standard unit of capacity of battery is the ampere-hour (Ah) for charge and the watt-hour (Wh) for energy. Smaller cells are rated in milliampere-hours (mAh). |
Frequently asked questions
- What is a battery reserve capacity?
- Reserve Capacity (RC) is the time in minutes a fully charged battery delivers 25 A at 80 °F (27 °C) before voltage drops to 10.5 V. Used as a standardised metric for car-starter batteries in particular. RC ≈ Ah × 2.4 (rough conversion). Useful for comparing similar-class batteries; not directly applicable to deep-cycle sizing — use Ah at the appropriate discharge rate instead.
- What is a battery reserve capacity (alt phrasing)?
- Same as above. The standard "what is a battery reserve capacity" search returns the SAE J537 RC definition: minutes of 25 A discharge before 10.5 V cut-off.
- What is the capacity of a battery?
- What is the capacity of a battery: it is the total electric charge the battery can deliver under specified conditions, measured in ampere-hours (Ah). Multiply by nominal voltage to get the energy in watt-hours (Wh). The unit of capacity of battery is the ampere-hour for charge or the watt-hour for energy.
- What is a battery capacity?
- A battery capacity is the same quantity — Ah at a stated discharge rate. A 100 Ah battery delivers 100 A for one hour, or 5 A for 20 hours (the C/20 rated discharge for lead-acid). Practical usable capacity is reduced by the depth-of-discharge limit and Peukert effect.
- How to measure capacity of battery?
- How to measure capacity of battery — two methods. Discharge test: fully charge, then discharge at the rated current (e.g. C/20 = 5 A for a 100 Ah battery) and measure time until cut-off voltage. Capacity = current × hours. Coulomb counter: battery monitor with shunt sensor integrates current over time. The discharge test is the gold standard.
- How to measure capacity of a battery?
- Same as above — "how to measure capacity of a battery" uses the same discharge-test or coulomb-counter procedure.
- How do you measure battery capacity?
- Two methods. Discharge test: fully charge, then discharge at the rated current (e.g. C/20 = 5 A for a 100 Ah battery), measure time until cut-off voltage. Capacity = current × hours. Industry standard but requires hours of testing. Coulomb counter: battery monitor with shunt sensor (Victron BMV, Renogy BT) integrates current over time. Live readout. The discharge test is the gold standard for capacity verification.
- How to check capacity of battery?
- How to check capacity of battery — for a quick health check use a load tester ($30–100) that applies a known current for 15 seconds and reads voltage drop; for an accurate Ah figure run a full discharge test as above.
- How to check the capacity of a battery?
- Identical procedure — "how to check the capacity of a battery" reduces to the same load-test or full-discharge-test methods.
- How do you check battery capacity?
- For lead-acid: a load tester (cheap, $30–100) applies a known current for 15 seconds and reads voltage drop — gives a rough state-of-health indication, not exact Ah. For lithium: BMS-equipped batteries report SoC and SoH directly via Bluetooth or display. For accurate capacity verification: full discharge test or specialised capacity tester ($150–500 for hobbyist, thousands for laboratory).
- How to calculate capacity of battery?
- How to calculate capacity of battery (and the equivalent "how to calculate capacity of a battery" / "how to calculate the capacity of a battery"): for sizing, Ah = (load_amps × runtime_hours) / DoD, then divide by Peukert factor and add safety margin. The calculator above does this automatically.
- How to test capacity of battery?
- A controlled discharge test: charge fully, then discharge at the rated current to the cut-off voltage and integrate current × time. For lead-acid run at C/20 (e.g. 5 A for a 100 Ah battery); for LFP run at C/10 or higher. Specialised testers automate this and produce a capacity report.
- How do you calculate the capacity of a battery?
- For sizing (you know the load, want to find Ah): Ah = (load_amps × runtime_hours) / DoD, then divide by Peukert factor and add safety margin. The calculator above does this automatically — pick "Sizing" mode, enter your load, runtime, voltage, DoD, and chemistry. For verifying an existing battery: discharge test as described above.
- How do safety margins work in battery sizing?
- Add 20–25% extra Ah beyond the calculated minimum for: ageing (battery loses ~20% capacity over its rated cycle life), temperature variation (capacity drops in cold), load growth (real-world loads usually creep upward), and uncertainty in load estimation. For critical applications (medical, telecom backup), use 50% margin and 80% DoD limit even for lithium.
- What size battery do I need for an off-grid cabin?
- Rough rules of thumb: 1 kWh per appliance per day average use. A weekend cabin with lights + fridge + small electronics typically needs 2–4 kWh/day = ~80–160 Ah at 24 V. Add 2 days autonomy for cloudy weather: 320 Ah. Pick LFP at 80% DoD with 20% margin: ~480 Ah at 24 V = ~12 kWh storage = ~$3500–5000 in batteries. Use the Sizing mode of the calculator above with your specific numbers.
- How long do typical batteries last?
- In years (depends on cycles per year): Lead-flooded at 50% DoD daily: ~3 years (500 cycles). AGM at 50% DoD daily: ~4 years. LFP at 80% DoD daily: ~8 years (3000 cycles). LFP at 50% DoD daily: ~15+ years. Cycle life is much higher at lower DoD — there is a strong trade-off between cost-per-cycle and capacity utilisation.
Sources and methodology
- IEEE. IEEE Std 485 — Recommended Practice for Sizing Lead-Acid Batteries for Stationary Applications, 2020.
- IEC. IEC 60896 — Stationary lead-acid batteries.
- NEC 2023 — Article 480 Storage Batteries (installation requirements).