Off-Grid Battery Autonomy and Reserve Size Calculator

Off-Grid Battery Autonomy Calculator

Size a nominal battery-energy reserve from measured daily critical AC load and no-recharge autonomy days. The reserve stack explicitly derates for inverter efficiency, usable depth of discharge, temperature, and end-of-life capacity, then converts nominal kWh to system-voltage Ah and whole parallel-equivalent modules. It is an energy screen, not a safe electrical, power, solar-resource, generator, or code design.

Build the no-recharge reserve

Use seasonal interval data and critical-load scope.

A parallel-equivalent unit already at system voltage.

Nominal battery-bank screen

20 parallel-equivalent 48 V / 100 Ah modules

The 54.0-kWh AC autonomy load requires 95.91 kWh nominal before whole-module rounding.

96.0 kWh
NOMINAL
Inverter
92.0%
Usable DoD
80.0%
Temperature
90.0%
End of life
85.0%
Required nominal energy95.91 kWh
Required nominal capacity1,998 Ah at 48 V
Installed nominal energy96.00 kWh
Installed deliverable AC energy54.05 kWh
Achieved no-recharge autonomy3.00 days
Combined delivery factor56.3%

Battery systems can cause fire, explosion, toxic exposure, arc flash, shock, and lethal fault current. Chemistry, listed equipment, battery-management limits, series/parallel configuration, conductor and overcurrent protection, disconnects, grounding/bonding, ventilation, separation, temperature control, fire detection/suppression, permits, and emergency access require qualified design and current adopted codes. Do not construct a battery bank based only on this estimate.

How the sample reserve stack is calculated

The sample critical loads use 18 kWh of AC energy per day and require three days without solar or generator recharge, so the load-side target is 54 kWh. Delivering that through a 92% efficient inverter would require more DC energy. Only 80% depth of discharge is permitted, cold/temperature capacity is represented at 90%, and the bank must still work at 85% retained end-of-life capacity.

Dividing 54 by 0.92 x 0.80 x 0.90 x 0.85 gives 95.91 nominal kWh. At 48 nominal volts, that is about 1,998 Ah. A 100-Ah parallel-equivalent module at 48 V has 4.8 nominal kWh, so 19.98 modules are rounded upward to 20. The installed bank is 96.00 nominal kWh.

Applying the same four factors to 96 kWh produces about 54.05 kWh of deliverable AC energy at the stated end-of-life and temperature assumptions, only slightly more than the target. Dividing by 18 kWh/day gives 3.00 days. The combined delivery factor is 56.3%, demonstrating why nominal label energy is not the same as dependable AC autonomy.

Daily load must come from a critical-load profile

A monthly utility bill divided by days can hide seasonal peaks, occupancy changes, well-pump cycles, electric heat, refrigeration defrost, water heating, workshop tools, and cloudy-period behavior. Off-grid design needs interval energy and power. Build a circuit-by-circuit critical-load list, measure representative operation, and create winter and summer day profiles.

Separate continuous, cycling, discretionary, and deferrable loads. Reduce waste before buying storage. Heating, cooling, cooking, water pumping, water treatment, communications, medical equipment, refrigeration, and freeze protection can be critical, but each has different power and reliability consequences. Do not quietly assume occupants will curtail essential loads during every poor-weather period.

Energy-only path: AC autonomy energy = daily critical kWh x no-recharge days. Required nominal kWh = AC autonomy energy / (inverter factor x usable-DoD factor x temperature factor x end-of-life factor). Required Ah = nominal kWh x 1,000 / system volts. Whole parallel-equivalent modules = required Ah / module Ah, rounded up.

Autonomy days do not replace solar-resource modeling

Three days without recharge is an arbitrary reliability criterion unless linked to site weather, array size, seasonal load, generator strategy, fuel access, and acceptable loss-of-load probability. A large battery cannot compensate indefinitely for an undersized winter array. Consecutive storms, snow cover, smoke, shading, high temperature, soiling, and equipment outages can reduce production.

Use long-term site-specific hourly solar resource and load simulation, with PV temperature, orientation, shading, inverter clipping, wiring, charge efficiency, battery limits, degradation, and generator dispatch. Test multiple weather years and critical contingencies. Document what event the autonomy requirement is intended to survive.

Energy capacity and power capacity are separate

A 96-kWh bank may have ample energy but insufficient current for a well pump, compressor, induction range, or simultaneous load. Inverter continuous and surge rating, motor starting, voltage sag, battery current limit, BMS trip, ambient temperature, conductor drop, and protection determine power. The calculator does not accept watts or amps and cannot validate starting performance.

Create a coincident load schedule and the worst credible surge. Use manufacturer time-current and surge data, not a single nameplate sum. Consider neutral and unbalanced loads, power factor, harmonic loads, transformer/inverter topology, and split-phase requirements. Qualified electrical design coordinates source, inverter, distribution, grounding, and generator transfer.

Depth of discharge is chemistry and warranty specific

Usable depth of discharge should come from the selected battery’s operating window, warranty, cycle-life objective, and BMS. Lead-acid and lithium chemistries behave differently; even products with similar chemistry have different voltage limits and state-of-charge calibration. A nominal 100-Ah label does not guarantee 80 Ah at every temperature, current, age, and cutoff.

Battery capacity can depend on discharge rate. Lead-acid Ah ratings commonly specify a time rate, and high current can reduce available capacity. Lithium BMS current and low-temperature rules can abruptly limit use. Do not mix ages, capacities, chemistries, or incompatible battery modules unless the manufacturer and engineered system explicitly allow it.

Temperature affects both capacity and charging safety

The sample 90% temperature factor is visible but generic. Obtain capacity curves at the battery’s minimum operating temperature and actual discharge rate. Cold can reduce available energy; heat can accelerate aging. Some lithium chemistries must not be charged below specified temperatures without approved heating and controls.

Design the enclosure for the manufacturer’s ambient range, heat generation, ventilation, condensation, flooding, pests, salt/corrosion, and service access. Never improvise heaters or insulation around batteries. Temperature sensors, control logic, spacing, and fire provisions belong to the listed system and approved design.

End-of-life reserve is a service criterion

The 85% factor means the bank must deliver the autonomy target after nominal capacity has fallen to 85% under the modeled temperature and DoD. It is not a prediction of when that occurs. Calendar aging, cycles, temperature, average state of charge, current, balancing, firmware, and maintenance affect degradation.

Warranty “retained capacity” may use defined test conditions and throughput limits. Build a monitoring and replacement plan, including compatible future modules and disposal/recycling. A system that barely passes at installation but cannot meet its documented end-of-life objective is underspecified for that objective.

Series and parallel design cannot be inferred from Ah alone

The module field means one approved module or series string already at the system voltage. It returns a parallel-equivalent count. Real batteries may have a different nominal voltage, so modules must be configured in series, parallel, or both within BMS and inverter limits. Series changes voltage; parallel changes Ah/current capability.

Design layerQuestions beyond the calculatorEvidence
Battery moduleChemistry, nominal/operating voltage, Ah rate, current, temperature, BMS, listing.Manufacturer manual and certification.
Series stringMinimum/maximum voltage over SOC and temperature, balancing, isolation.Approved configuration tables.
Parallel bankCurrent sharing, conductor symmetry, fusing each string, maximum parallel count.Engineered one-line and instructions.
Inverter/chargerVoltage window, charge profile, surge, transfer, generator/PV integration.Listed compatibility and performance data.
InstallationOCPD, disconnect, grounding, working space, ventilation/fire, labeling.Adopted NEC/fire/building code and approved plans.

Recharge losses are outside the autonomy stack

The 92% input represents battery-to-AC delivery through the inverter. It does not include PV-to-battery charging, generator efficiency, battery coulombic/energy efficiency, wiring, standby, heater, BMS, or charge-controller losses. Those matter when sizing the array and estimating fuel/time to restore state of charge.

After an autonomy event, loads continue while charging. A 54-kWh deficit cannot be restored with exactly 54 kWh of gross PV. Model available surplus power, charging limits, absorption/taper behavior, weather, generator minimum loading, fuel consumption, noise, maintenance, and emissions. Preserve emergency reserve if the operating plan requires it.

Reliability needs layered controls

Load controls

Priority circuits, automated shedding, thermostat/deferrable-load rules, state-of-charge alarms, and an occupant plan tested before an emergency.

Source diversity

Solar, generator, fuel inventory, maintenance, manual start path, spare parts, communications, and realistic extended-weather operation.

Safe failure

Listed protection, isolation, fire/thermal event response, monitoring, ventilation, signage, emergency access, and trained service providers.

Commission state-of-charge calibration, charge limits, low-voltage cutoff, inverter modes, transfer, generator start, load shedding, alarms, communications, and shutdown. Keep an emergency manual and inspect to manufacturer/code requirements. For a separate U.S.

Frequently asked questions

Why is 54 kWh of load almost 96 kWh nominal battery?

Inverter loss, limited depth of discharge, temperature capacity, and end-of-life reserve multiply. The sample combined delivery factor is only 56.3%.

Can I size the inverter from this result?

No. Inverter sizing needs continuous and coincident power, motor surge, power factor, voltage, waveform, controls, static distribution, and listed compatibility.

Does three days mean the system will survive every three-day storm?

No. Actual load, initial SOC, temperature, degradation, PV/generator recharge, faults, controls, and weather determine operation. Simulate reliability with time-series data.

Is 80% depth of discharge safe for every battery?

No. Use the exact battery’s instructions, BMS window, warranty, chemistry, temperature, discharge rate, and cycle-life objective.

Can I connect twenty 48-V batteries in parallel?

Not from this result. Manufacturers limit configurations and require string protection, compatible BMS, conductor design, current sharing, disconnects, and listed equipment.

Does the calculation include solar charging losses?

No. It covers battery-to-AC autonomy only. Array, controller, wiring, battery charging, standby, and generator losses belong in a recharge simulation.

For a simpler single-load runtime check, compare the autonomy model with the battery duration calculator.

References

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