The basic answer is simple: divide the watt-hours you need to replace by the solar watts that actually reach the battery. The part that makes this useful is stating every assumption instead of dividing by the panel’s label and pretending the result is a promise.

For a 500Wh power station charged by a 200W panel, a 70% planning factor gives 140 effective charging watts when the station can accept at least 200W. A full refill is therefore about 3.6 good-sun hours:

Energy to replace = 500Wh
Effective charging watts = 200W x 0.70 = 140W
Good-sun hours = 500Wh / 140W = 3.6 hours

Use the solar recharge time calculator to change the battery size, starting charge, panel, input limit, sun hours, and loss factor.

The solar battery charging-time formula

Start with the energy that must go back into the battery:

Energy to replace (Wh)
  = battery capacity x (100 - starting charge percent) / 100

Then limit the panel by the station’s documented solar-input ceiling:

Effective charging watts
  = the lower of panel watts and station input watts x planning factor

Finally:

Good-sun hours to charge
  = energy to replace / effective charging watts

The U.S. Department of Energy explains that PV ratings use standard test conditions, including 1,000 W/m2 of irradiance and a 25 C cell temperature. Real sunlight, angle, heat, clouds, shade, wiring, and charge equipment change the delivered power. That is why the calculation needs a planning factor.

Worked examples

Assume a 500Wh station starts at 0%, the station accepts the full panel rating, and the planning factor is 70%.

PanelEffective wattsGood-sun hours for 500WhDays at 4.5 good-sun hours
100W70W7.11.6
200W140W3.60.8
400W280W1.80.4

These are not promises that a 200W panel will finish a 500Wh battery before lunch. The final column is only a way to compare energy against a daily sun window. A partly cloudy day, a shaded campsite, or a station that tapers charging near full can make the wall-clock time longer.

Starting charge matters just as much as the panel. A 500Wh battery starting at 40% has 300Wh to replace, not 500Wh:

500Wh x (100 - 40) / 100 = 300Wh
300Wh / 140W = 2.1 good-sun hours with a 200W panel

For a quick comparison of panel size, read 100W vs 200W solar panels. For a device-first question, use the 100W solar panel output calculator instead of starting with battery capacity.

Why the calculator may be optimistic

The panel’s wattage is a rated maximum under specified conditions. It is not the same as the watts delivered continuously to a battery. Good-sun hours are equivalent full-output hours, not the number of hours between sunrise and sunset. The NLR PVWatts V8 documentation describes modeled production from location and weather data, which is useful context but cannot remove uncertainty from a movable panel setup.

The battery may also charge more slowly near the top of its range. Some stations reduce input as the battery approaches full, and the manual may specify temperature or operating limits. Treat the formula as a planning baseline, then leave room for a less favorable day.

Check compatibility before comparing charge time

A fast mathematical result is useless if the panel cannot safely feed the station. Compare the panel’s open-circuit voltage, operating voltage, operating current, short-circuit current, connector, polarity, and nameplate watts with the station manual. The station’s maximum solar-input watts are only one of the limits.

The solar panel compatibility checklist walks through those fields. An adapter can change the physical connector, but it does not fix an electrical mismatch. If the panel is part of a bare-battery system with a separate controller, do not assume that controller belongs between the panel and a power station’s PV input; follow the equipment manuals.

The practical workflow is therefore: measure or estimate the energy to replace, cap the panel at the station input limit, apply a visible loss factor, convert good-sun hours into a realistic daily window, and then verify the electrical limits. That gives you a useful buying range without pretending a nameplate number is a field test.