Battery Bank Sizing Calculator
Size a battery bank: calculate series/parallel configuration, total batteries, and usable capacity for off-grid and backup systems.
About this calculator
This calculator sizes a battery bank for off-grid or backup power by working backward from your daily energy load and required days of autonomy to a series/parallel battery configuration. It first finds total required capacity by dividing total energy demand by depth of discharge (DOD) -- since a battery that can only be safely discharged to, say, 50% needs roughly twice its usable-energy target in nameplate capacity. Series count comes from dividing your target system voltage by each battery's nominal voltage (rounded up), and parallel string count comes from dividing required capacity by the energy each series string provides (also rounded up), so the actual usable capacity delivered is often slightly more than the bare minimum due to that rounding to whole batteries and whole strings.
Depth of discharge limits shown here follow the general guidance in IEEE 1115 (vented lead-acid) and IEEE 1561 (valve-regulated lead-acid, VRLA): shallower discharge extends cycle life for lead-acid chemistries, while lithium iron phosphate (LiFePO4) tolerates much deeper routine discharge. This calculator only covers energy and battery-count sizing -- it does NOT model charge/discharge current limits, thermal derating, cell balancing, or the interconnection and overcurrent protection a real battery bank installation requires for safety. Battery banks store genuine electrical and chemical energy and carry real fire, thermal-runaway, and short-circuit risks if wired or protected incorrectly -- always follow the battery manufacturer's specifications and applicable electrical code (such as NEC Article 706 for energy storage systems) and consult a qualified installer for the actual wiring, fusing, and disconnect design.
Inputs
IEEE 1115/1561: flooded lead-acid 50% DOD (long life); VRLA 50%; LiFePO4 80–90%; NiCd 100%
Results
Total Batteries
20 batteries
Usable Capacity
24 kWh
≈ 24 loads of laundry
How to Use This Calculator
- Enter your Daily Load in kWh/day — sum all loads multiplied by their daily hours of use.
- Set the Days of Autonomy — the number of days the bank must supply power without recharging (typically 1–3 days for solar backup).
- Enter the Battery Voltage (individual cell/unit): common values are 2V, 6V, 12V, or 48V.
- Set the Depth of Discharge: lead-acid ≈ 50%, LiFePO4 ≈ 80–90%. Deeper discharge shortens battery life.
- Enter the Battery Capacity in Ah (20-hour rate) and your target System Voltage (12, 24, or 48 V DC bus).
- Review Batteries in Series, Parallel Strings, and Total Batteries, then verify Usable Capacity in kWh meets your autonomy requirement.
How the result changes with Battery Voltage
| Battery Voltage | Total Batteries | Usable Capacity |
|---|---|---|
| 6 | 40 batteries | 24 kWh |
| 9 | 30 batteries | 27 kWh |
| 18 | 15 batteries | 27 kWh |
| 30 | 10 batteries | 30 kWh |
What each input means
- Daily Load
- Average daily energy consumption to be supplied by batteries.
- Days of Autonomy
- Number of days the battery bank should power loads without recharging.
- Battery Voltage
- Nominal voltage of each individual battery (e.g., 2V, 6V, 12V, 48V).
- Depth of Discharge
- Maximum depth of discharge per IEEE 1115 (flooded lead-acid) and IEEE 1561 (VRLA). Lead-acid flooded: max 80% per IEEE 1115 but 50% recommended for longevity; VRLA (AGM/Gel): 50% recommended; LiFePO4: 80–90% per manufacturer.
- Battery Capacity
- Amp-hour capacity of each individual battery at the 20-hour rate.
- System Voltage
- Target DC bus voltage of the battery system (e.g., 12, 24, 48V).
How this is calculated
Worked example, using the default values
- Identify Input Parameters6 parametersDaily Load = 10, Days of Autonomy = 2, Battery Voltage = 12, Depth of Discharge = 50, Battery Capacity = 200, System Voltage = 48 = 6 input(s) provided
- Calculate Total BatteriesTotal Batteries = max(totalBatteries20 = 20
- Calculate Usable CapacityUsable Capacity24 = 24
- Calculate Total Energy RequiredTotal Energy Required20 = 20
- Calculate Batteries in SeriesBatteries in Series = max(batteriesInSeries4 = 4
Engine last updated . Checked against 3 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.
Frequently Asked Questions
Why does a lower depth of discharge require more total batteries?
Depth of discharge (DOD) is the fraction of a battery's nameplate capacity you're allowed to safely use before recharging. If you limit yourself to only 50% DOD instead of 80%, each battery contributes only 50% of its rated capacity toward your actual usable energy, so you need roughly 60% more nameplate capacity -- and therefore more batteries -- to deliver the same usable energy. This is a genuine trade-off: a lower DOD extends battery cycle life (especially for lead-acid chemistries) at the cost of needing a larger, more expensive bank.
Why does depth of discharge guidance differ so much between lead-acid and lithium batteries?
Lead-acid batteries (flooded and VRLA/AGM alike) suffer accelerated degradation from deep, repeated discharge cycles, which is why IEEE 1115 and IEEE 1561 generally recommend limiting routine discharge to around 50% for meaningfully longer service life, even though these batteries can technically discharge deeper occasionally. LiFePO4 (lithium iron phosphate) cells tolerate much deeper routine discharge, commonly 80-90% per manufacturer specification, without the same accelerated wear -- which is a major reason LiFePO4 banks can be smaller and lighter than a lead-acid bank sized for the same usable energy.
Why is the actual usable capacity sometimes more than my minimum required energy?
Both the series count (system voltage divided by battery voltage) and the parallel string count (required capacity divided by energy per string) are rounded UP to the next whole battery or whole string, since you can't install a fractional battery. This rounding means the actual installed bank almost always delivers somewhat more usable capacity than your bare minimum requirement -- which is a reasonable safety margin in practice, not a sizing error.
Does this calculator size the wiring, fuses, and disconnects for my battery bank?
No -- it only estimates battery count and usable energy capacity. A real battery bank installation also requires correctly rated interconnecting cables, overcurrent protection (fuses or breakers) sized to the battery chemistry's short-circuit current capability, disconnects, and often a battery management system, none of which this calculator addresses. Battery banks carry genuine fire and thermal-runaway risk if these protections are undersized or omitted -- always follow the battery manufacturer's installation instructions and applicable electrical code, and have the actual system design and wiring reviewed by a qualified installer.
Why does days of autonomy have such a large effect on total battery count?
Days of autonomy is a direct multiplier on total energy required -- two days of autonomy means the bank must store roughly twice the energy that one day requires, before depth of discharge is even factored in. Because this multiplies straight through to required capacity and therefore to battery count, autonomy is one of the most consequential inputs in this calculator: even a modest increase from 1 to 3 days of autonomy roughly triples the size (and cost) of the required battery bank.
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