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Off-grid solar calculator: size panels, battery bank, inverter and charge controller

Sizes a complete stand-alone solar system from your appliances. It designs for the darkest month at your location using NASA satellite climate data, days of autonomy and real battery chemistry limits.

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Results

For 3.18 kWh/day you need about 2.7 kWp of panels (6 × 450 W), a 15.4 kWh LiFePO₄ (LFP) bank at 48 V and a 4 kW inverter. The design month is December, when each kWp delivers only 1.76 kWh/day.
Solar array
2.7kWp
6 × 450 W panels at 55°
Battery bank
15.4kWh
300 Ah @ 48 V · usable 11.6 kWh
Battery configuration
4S × 3P
12 × 12.8 V 100 Ah units
Inverter
4kW
continuous; surge ≥ 4.4 kW
Charge controller
80 A
MPPT · 70 A needed at 48 V
Daily load
3.18kWh/day
3.81 kWh/day from the battery bus, incl. inverter losses
Design month
Dec
2.12 kWh/m²/day on panels (sun-hours)
Real autonomy
3days
temperature factor 94%
Months needing backup
0/ 12
none
Summer surplus (unused)
1,666kWh/yr
typical for winter-sized arrays
Battery life
15years
about 68 cycles/yr · rated 6,000 cycles, 15 yr calendar
Rough system cost
€10,937
hardware + install estimate
Daily solar harvest vs. daily need, by month
Array size needed if designed for each month
Where the energy goes

Monthly energy balance (★ = design month)

MonthSun on panels (kWh/m²/day)Solar (kWh/day)Need (kWh/day)Coverage
Jan2.455.513.94140%
Feb3.397.483.94190%
Mar4.239.053.94230%
Apr4.8310.033.94255%
May510.143.94258%
Jun5.029.993.94254%
Jul5.2810.373.94264%
Aug5.4510.73.94272%
Sep4.889.873.94251%
Oct48.43.94214%
Nov2.575.633.94143%
Dec2.124.763.94121% ★

Load list

LoadWh/dayShare
Lighting32010%
Refrigeration80025%
TV / entertainment2408%
Computers3009%
Always-on devices2408%
Water pump75024%
Washing machine2297%
Other3009%

Component checklist

ComponentSpecification
PV array6 × 450 W = 2.7 kWp, 55° tilt, azimuth 180°
Battery bank12 × 12.8 V 100 Ah (4 in series × 3 parallel) = 15.4 kWh, LiFePO₄ (LFP)
Charge controllerMPPT, ≥ 70 A at 48 V (PV string Voc must stay below its max input voltage)
Inverter4 kW continuous pure-sine, 48 V DC input, surge ≥ 4.4 kW
Battery cable & fusesized for about 81 A continuous
  • Sun: NASA POWER long-term monthly climate at 44.43, 26.1 (embedded default-site data for pre-rendering), on panels at 55° / 180°, with cell temperature and 12% PV losses.
  • Energy chain: AC loads ÷ 92% inverter efficiency + 15 W idle draw → battery bus. 60% of it cycles through the battery at 95% round-trip efficiency; controller efficiency is 97%.
  • Days of autonomy cover consecutive cloudy days. NASA monthly means don’t show multi-day storms, so remote critical systems often use 3–5 days and a generator.

How this off-grid calculator works

An off-grid solar system has no grid to fall back on, so it has to be sized for the worst conditions it will meet, not for the average year. The calculator follows the classic stand-alone design method used in IEEE 1562 and the Sandia design handbook, with real climate data for your location.

  1. Loads. List your appliances (or enter a daily total). They’re summed in watt-hours per day, along with an estimate of the peak simultaneous load and the start-up surge of motors such as pumps and fridge compressors.
  2. Energy chain. AC energy is divided by the inverter efficiency and the inverter’s idle consumption is added for 24 hours. The share of energy used in the evening and at night passes through the battery and pays its round-trip loss.
  3. Sun. NASA POWER long-term monthly irradiance, temperature and wind for your location are transposed onto your panel tilt and converted into the kWh each kWp actually delivers to the battery per day, month by month, including cell-temperature losses and charge-controller efficiency.
  4. Design month. The array is sized for the darkest month (or the fourth-darkest if a generator covers deep winter, or the darkest summer month for a seasonal cabin), plus a safety margin.
  5. Battery, inverter, controller. The bank must cover your chosen days of autonomy within the chemistry’s depth-of-discharge limit and the capacity loss at your lowest battery temperature. It is then split into series and parallel units.

The formulas

E_dc = E_ac ÷ η_inv + P_idle × 24 h E_pv = E_dc × [(1 − f) + f ÷ RTE] f = share used via battery Array kWp = E_pv ÷ Y_design × (1 + margin) Y = kWh/kWp/day in design month Battery Wh = E_dc × days ÷ √RTE ÷ DoD ÷ k_temp Ah = Wh ÷ V_sys series = V_sys ÷ V_unit parallel = ⌈Ah ÷ Ah_unit⌉ Inverter ≥ 1.25 × peak load Controller A = array W ÷ V_sys × 1.25

Worked example: a year-round cabin near Bucharest

The default load list adds up to 3.18 kWh/day: eight LED lights, an efficient fridge, a TV, a laptop, a router, a 750 W water pump for an hour a day and two washing cycles a week. With a 92%-efficient inverter and 15 W idle draw, the battery bus must supply 3.81 kWh/day. Cycle 60% of that through a 95%-efficient LFP battery and the array has to deliver 3.94 kWh/day.

On panels tilted at 55°, December brings 2.12 kWh/m²/day of sunlight, and each kWp delivers only 1.76 kWh/day after temperature, soiling, wiring and controller losses. With a 10% margin that means 2.46 kWp, so six 450 W panels (2.70 kWp). In August the same array harvests 10.7 kWh/day, leaving a summer surplus of about 1,670 kWh a year.

For two days of autonomy at 80% DoD and 10 °C, the bank needs about 10.4 kWh nominal. At 48 V that is four 12.8 V 100 Ah batteries in series, three strings in parallel: 15.4 kWh (300 Ah), giving almost three days of real autonomy. Peak load (pump, fridge and washing-machine heater together) calls for a 4 kW inverter with at least 4.4 kW surge, and a 80 A MPPT controller. The rough hardware-plus-installation estimate is about €10,900.

How to read the results

  • Design month and its sun-hours explain the array size. Look at the array size by month chart. If one or two months drive the size, a generator or seasonal tilt adjustment may be cheaper than more panels.
  • Real autonomy can exceed your target because batteries come in whole units.
  • Months needing backup is zero when you design for the darkest month. With the generator option it shows how many kWh a generator must supply.
  • Battery life combines rated cycles with calendar ageing. Off-grid LFP banks rarely wear out from cycling; lead-acid banks often die from chronic undercharging in winter.

Typical values

Location Dec. sun on 55° panels kWh/kWp/day (Dec.) kWp for ≈ 3 kWh/day of loads
Helsinki, Finland 0.3–0.6 kWh/m² 0.3–0.5 10+ (generator usually cheaper)
Berlin, Germany 0.9–1.2 kWh/m² 0.7–1.0 4.5–6
Bucharest, Romania 2.0–2.3 kWh/m² 1.6–1.9 2.3–2.7
Madrid, Spain 3.5–4.2 kWh/m² 2.8–3.3 1.3–1.6

Figures are from this calculator’s model with the default load list, 12% PV losses, MPPT control and a 10% margin.

Tips for a reliable off-grid system

  • Cut loads first. Every kWh/day saved removes about 0.5–0.8 kWp of panels and 2–3 kWh of battery in mid-latitude winters. Buy an efficient fridge, use LED lighting and avoid electric heating. Cook and heat water with gas, wood or a solar thermal collector.
  • Tilt steeply. 55–65° in Europe boosts December harvest and sheds snow. Check the tilt angle calculator with winter selected.
  • Prefer LFP. It beats lead-acid on usable capacity, efficiency and cycle life. Just don’t charge it below 0 °C.
  • Go 48 V for anything above a small cabin, and size cables for low loss with the cable size calculator.
  • Match strings to the controller. The array’s cold-weather open-circuit voltage must stay below the MPPT controller’s maximum input. The string sizing calculator checks this.
  • Consider a small generator for the darkest weeks. Designing for the fourth-darkest month often halves the array and battery cost in northern climates.

Limitations

Monthly mean climate data miss runs of consecutive cloudy days or year-to-year variation, which is why the days of autonomy and margin inputs exist. Loads are assumed constant through the year; seasonal loads such as heating fans or summer cooling should be entered for the month you design for. Shading, snow cover and battery self-discharge are not modelled separately. Costs are coarse estimates that vary widely by country and installer.

Method & assumptions

Daily energy E = Σ (power × hours) of all AC loads. At the battery bus: E_dc = E ÷ η_inverter + idle × 24 h. Energy the array must deliver: E_pv = E_dc × [(1 − f) + f ÷ RTE], where f is the share used at night through the battery.

Array = E_pv ÷ (Y_design) × (1 + margin), where Y_design is the kWh per kWp per day delivered in the design month, from NASA monthly irradiance transposed to your tilt, cell temperature and losses, times controller efficiency (MPPT 97%, PWM ≈ 80%).

Battery nominal Wh = E_dc × days of autonomy ÷ √RTE ÷ DoD ÷ temperature factor; Ah = Wh ÷ system voltage; series units = V_system ÷ V_unit, parallel strings = ⌈Ah ÷ Ah_unit⌉. Inverter ≥ 1.25 × peak load, surge ≥ largest motor start. Controller current = array W ÷ V_system × 1.25.

Frequently asked questions

How big a solar system do I need to go off-grid?
Divide your daily energy use (including inverter losses) by the solar energy one kWp delivers per day in your darkest month. In south-eastern Europe a winter-tilted array delivers only about 1.6–1.9 kWh per kWp per day in December (0.7–1.0 in Germany), so a cabin using 3 kWh/day needs roughly 2.5 kWp there and 5 kWp or more in Germany, several times what the same load needs in summer. In Spain about 1.5 kWp would do.
How many batteries do I need for an off-grid solar system?
Battery capacity = daily energy × days of autonomy ÷ depth of discharge (and ÷ a temperature factor in the cold). For 3.8 kWh/day, 2 days of autonomy and LFP at 80% DoD you need about 10–11 kWh nominal, for example four 12.8 V 100 Ah batteries in series (48 V, 5.1 kWh) times two or three parallel strings. Lead-acid needs about 60% more nominal capacity for the same usable energy because it should not go below 50%.
Should I use a 12 V, 24 V or 48 V off-grid system?
Use 12 V only for small systems (vans, boats, tiny cabins under about 1 kW of load). 24 V suits 1–2.5 kW systems, and 48 V everything larger. Higher voltage means lower current for the same power: a 3 kW inverter draws about 270 A at 12 V but only about 68 A at 48 V, allowing thinner cables, smaller fuses and lower losses.
What are days of autonomy?
The number of days the battery alone can supply your loads with no solar input. Two days is common for holiday homes with a generator; three to five days for year-round homes in cloudy climates or critical loads such as telecom or medical equipment. Each extra day adds a full day's energy to the battery bank.
MPPT or PWM charge controller?
MPPT controllers convert the higher panel voltage down to battery voltage and harvest about 15–30% more energy than PWM controllers, which simply connect the panels to the battery. PWM is acceptable only for very small 12 V systems with panels built for 12 V charging. For any modern 400–600 W panel, MPPT is required.
Why is the array so large compared with my summer needs?
Because an off-grid system must work in the darkest month. In mid-latitudes December delivers only a quarter to a third of July's solar energy, so a winter-sized array produces large summer surpluses. Many off-grid homes use that surplus for water heating, or design for the fourth-darkest month and cover the deepest winter with a small generator.

Sources & references

  1. IEEE Std 1562 — Guide for Array and Battery Sizing in Stand-Alone Photovoltaic (PV) Systems
  2. IEC TS 62257 — Recommendations for renewable energy and hybrid systems for rural electrification
  3. NASA POWER — long-term monthly solar and meteorological climatology
  4. Sandia National Laboratories — Stand-Alone Photovoltaic Systems, A Handbook of Recommended Design Practices (SAND87-7023)

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