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Battery Bank and Solar Sizing: Math for Off-Grid Power

Calculate how much solar and battery storage you actually need. Load calculation, battery depth of discharge, solar panel sizing math, and component selection for emergency power.

Salt & Prepper TeamMarch 30, 20265 min read

TL;DR

Sizing a solar and battery system requires three calculations: what power you need (watt-hours per day), how much storage to cover cloudy days (battery bank size), and how many panels produce that energy (panel wattage). Each step has a straightforward formula. Run the numbers before buying anything — most people over-buy panels and under-buy storage.

Step 1: Calculate Your Daily Load

List everything you need to power and how long you'll run it each day. The product of watts × hours = watt-hours (Wh) per day.

Example load calculation (emergency minimum):

DeviceWattsHours/DayWh/Day
LED lighting (4 bulbs × 10W)40W4 hrs160 Wh
Phone charging (2 phones)20W2 hrs40 Wh
AM/FM/NOAA radio5W6 hrs30 Wh
Laptop computer45W2 hrs90 Wh
CPAP machine (if needed)40W8 hrs320 Wh
Total640 Wh/day

Add 20% for system inefficiencies (conversion losses, wiring resistance): 640 × 1.2 = 768 Wh/day as your actual target.

Other common devices and their power draw:

DeviceWattsNotes
Mini-fridge (12V compressor)50-80W8-12 hrs equivalent cycling
Box fan (medium)75-100WPer hour
Window AC unit (smallest)500-1,200WNot practical on modest solar
Electric hot plate1,000-1,500WNot practical on modest solar
TV (32-inch LED)35-50WPer hour
Ham radio (receive)5-20WPer hour
Ham radio (transmit)50-100WBrief duty cycles

Step 2: Size Your Battery Bank

Your battery bank must store enough energy to run your daily load for your chosen number of days without sun (autonomy days).

Formula: Battery bank size (Wh) = Daily load (Wh) × Autonomy days ÷ Depth of discharge (DOD)

For the example above, with 2 days of autonomy and lithium batteries (90% DOD):

768 Wh/day × 2 days ÷ 0.90 = 1,707 Wh battery bank minimum

Round up to the next available product size: a 2,000Wh battery bank (two 100Ah 12V batteries, or one 2,000Wh power station, or two 1,000Wh power stations).

DOD by battery type:

  • LiFePO4 lithium: 80-90% usable
  • AGM sealed lead-acid: 50% usable
  • Flooded lead-acid: 50% usable (with equalization charges)

Practical note: For most residential emergency preparedness systems, a portable power station (Jackery, EcoFlow, Bluetti, Goal Zero) is simpler and more appropriate than a custom battery bank. They include the battery management system, inverter, and charge controller in one unit.

Step 3: Size Your Solar Array

Your panels must produce enough energy on an average day to replenish what you used.

Peak sun hours: The number of hours per day when solar irradiance is at approximately 1,000 W/m² (full sun equivalent). This varies by location and season:

  • US Southwest (Phoenix, Las Vegas): 5.5-6.5 peak sun hours
  • Pacific Northwest (Seattle): 3.5-4.5 peak sun hours
  • US Northeast: 4.0-5.0 peak sun hours
  • US Southeast: 4.5-5.5 peak sun hours

Check your specific location at pvwatts.nrel.gov for precise data.

Formula: Panel wattage needed = Daily load (Wh) ÷ Peak sun hours × 1.25 (system efficiency factor)

For the example, in a 4.5 peak sun hour location:

768 Wh ÷ 4.5 hrs × 1.25 = 213W of panels minimum

Round up: a 300W panel array (one 300W or two 150W panels) comfortably covers this load.

System Components

A complete system requires four components:

Solar panels: Monocrystalline panels are standard for residential and portable use. Higher efficiency than polycrystalline at the same cost. 100W to 400W per panel. Rigid panels are more efficient; portable folding panels are more flexible but slightly less efficient.

Charge controller: Regulates charging from panels to batteries. MPPT (Maximum Power Point Tracking) controllers are 10-30% more efficient than PWM and required for any serious installation. Sized in amps: divide your panel wattage by system voltage (12V or 48V) for minimum amp rating.

Battery bank: LiFePO4 lithium for most applications. Lead-acid for budget-constrained installations accepting the trade-offs.

Inverter: Converts DC battery power to AC household current. Sized at 110-125% of your maximum simultaneous AC load. Pure sine wave (not modified sine wave) is required for sensitive electronics, CPAP machines, and most motors.

Portable Power Station vs. Custom Build

FactorPortable Power StationCustom Build
Cost (per Wh storage)$0.50-$1.50$0.20-$0.80
ExpandabilityLimitedUnlimited
PortabilityExcellentPoor
ComplexityPlug-and-playRequires electrical knowledge
Warranty and supportStrong (major brands)Self-managed
Best forEmergency preparedness, small loadsWhole-home backup, large loads

For most preparedness applications (phone charging, lighting, communications), a portable power station is the right choice. For whole-home backup or running a refrigerator, a custom system is necessary.

Common Sizing Mistakes

Under-buying storage, over-buying panels: Panels produce energy; batteries store it. A 400W panel on a 200Wh battery fills the battery in 30 minutes and wastes the remaining day's production. Match them.

Not accounting for winter: Solar production in December at northern latitudes can be 30-50% of July production. Size for your worst month, not your best.

Forgetting inverter efficiency: Inverters are 85-95% efficient. Every watt you consume from AC also includes 5-15% inverter loss. Account for this in your load calculation.

Planning for surge vs. continuous loads: Motors and compressors draw 3-5x their rated watts at startup. Your inverter must handle the surge load, not just the continuous load. A mini-fridge rated at 80W may surge to 250W at compressor start.

Sources

  1. National Renewable Energy Laboratory - Solar Resource Data
  2. Victron Energy - Battery Bank Sizing Guide
  3. Solar Energy Industries Association

Frequently Asked Questions

What's the minimum solar setup worth having for emergency preparedness?

A 100-200W solar panel plus a 500-1,000Wh lithium power station (like a Jackery, Bluetti, or EcoFlow unit) is the practical minimum. This combination charges phones, runs LED lighting, powers a small fan or radio, and can run a CPAP machine overnight. Total cost: $300-800. It won't run an air conditioner or refrigerator, but it covers communication, lighting, and critical medical devices.

What's the difference between watts and watt-hours?

Watts measure the rate of power consumption at any moment. Watt-hours measure total energy over time. A 60-watt light bulb uses 60 watts every hour it runs — 60 watt-hours per hour, or 1,440 watt-hours (1.44 kWh) over a full day. Sizing a battery bank requires thinking in watt-hours (total energy) while selecting solar panels requires thinking in watts (rate of production). Match production rate to consumption and storage to meet the gap.

Should I buy lithium or lead-acid batteries?

Lithium (LiFePO4 specifically) for most emergency preparedness applications. Lithium batteries have 80-100% usable depth of discharge versus 50% for lead-acid, meaning a 100Ah lithium battery stores effectively twice the usable energy of a 100Ah lead-acid at the same size and roughly the same cost over their lifespan. Lithium lasts 10x longer (3,000-5,000 cycles vs 300-500 for flooded lead-acid). The upfront cost is higher but the total cost of ownership is lower.