A solar panel rated at 400 watts almost never delivers 400 watts. Buy one, mount it on a roof, and the real number depends on how bright the sun is at that moment, how big the panel is, and how efficiently the cells turn light into current. On a clear noon it might hit its rating; an hour before sunset it might give a tenth of that. The rating is a laboratory promise, not a field guarantee.
This article works through the basic relationship between sunlight and electrical output, shows how to turn instantaneous power into a daily energy figure, and points out where back-of-the-envelope estimates quietly go wrong.
Why this calculation matters
Sizing a solar installation is fundamentally an energy-balance problem. You have a load — a house, a pump, a remote sensor — that needs a certain number of kilowatt-hours per day. You have a site that receives a certain amount of sunlight. The panel calculation is the bridge between the two, and getting it wrong propagates through everything downstream.
Undersize the array and the batteries drain on cloudy afternoons. Oversize it and you have paid for hardware that spends much of its life clipped or curtailed. The same arithmetic decides how many panels fit a roof, how big an inverter needs to be, and how many years it takes for the system to pay for itself. None of those answers are reliable until you can estimate output from first principles rather than trusting a sticker.
The core formula
The instantaneous electrical power a panel produces is the product of three quantities:
P = G * A * eta
Here G is the solar irradiance in watts per square meter — the power density of sunlight striking the panel. A is the panel's area in square meters. And eta is the conversion efficiency, the dimensionless fraction of incident light energy that leaves the panel as electricity.
The logic is straightforward. The term G times A is the optical power landing on the panel. Multiply by eta and you have the electrical power coming out. A standard reference condition uses G = 1000 W/m^2, often called "one sun" or "peak sun," which roughly matches bright midday sunlight at the surface.
To get energy rather than power, multiply by time. Because irradiance changes continuously through the day, engineers collapse the whole solar day into an equivalent number of full-strength hours:
E = P_peak * H
H is the number of peak-sun-hours — the count of hours of 1000 W/m^2 sunlight that would deliver the same total energy as the actual, varying day. A location with H = 5 receives, over a full day, the same energy as five hours of perfect noon sun. This single number folds latitude, season, and weather into one figure you can multiply.
Two things are worth holding onto. Output scales linearly with all three of G, A, and eta, so a 10 percent gain in efficiency is a 10 percent gain in power. And the peak-sun-hour trick only works because energy is the integral of power over time — H is that integral repackaged as an equivalent duration.
A worked example
Consider a single photovoltaic panel with an area of A = 2 m^2 and a conversion efficiency of eta = 0.20, a realistic value for a good crystalline-silicon module. The site receives bright sun, so take G = 1000 W/m^2.
Step 1 — instantaneous power.
P = G * A * eta
P = 1000 * 2 * 0.20
P = 400 W
Under one full sun, this panel delivers 400 watts. That is the rated, best-case number — the figure on the datasheet.
Step 2 — daily energy.
Assume the location offers an effective 5 peak-sun-hours over the day.
E = P * H
E = 400 * 5
E = 2000 Wh = 2.0 kWh
So this one panel generates about 2.0 kWh on a representative day. To make that concrete, that is roughly enough to run a typical refrigerator for a full day, or to fully charge several laptops with energy to spare.
The two results sit at different points on the same curve. The 400 W is the peak the panel can hit; the 2.0 kWh is what an entire day of real, rising-and-falling sunlight adds up to. Confusing the two is the most common mistake in solar estimation.
Common mistakes
Treating the panel rating as the average output. A 400 W rating is measured at 1000 W/m^2 and 25 C. Mornings, evenings, clouds, and high cell temperatures all pull the real output below it. Daily average power is often a small fraction of the nameplate figure.
Multiplying power by 24 hours. The sun is not up all day, and it is not at full strength when it is. Use peak-sun-hours, not clock hours. A site with H = 5 does not produce energy as if the panel ran flat-out for 24 hours, or even for the 12 hours of daylight.
Ignoring temperature. Silicon cells lose efficiency as they heat up — often a fraction of a percent per degree above 25 C. A panel baking on a dark roof in summer can run well above ambient, so its hot-weather output trails its rated value.
Forgetting system losses. The formula gives the panel's DC output. Wiring resistance, inverter conversion, dust, shading, and module mismatch all skim energy off before it reaches the load. Real systems often deliver something like 75 to 85 percent of the ideal panel figure.
Using a single irradiance for the whole year. Peak-sun-hours vary strongly with season and latitude. A winter H can be less than half the summer value, so a system sized to a yearly average may fall short in the months you need it most.
Try the interactive NovaSolver calculator
Running the arithmetic by hand is fine for one panel on one day, but real projects involve many modules and a full year of seasonal variation. The Solar Panel Calculator on NovaSolver takes panel power, number of panels, tilt angle, latitude, system efficiency, electricity price, and installation cost, and returns annual energy in kWh, monthly average generation, annual savings, payback period, CO2 saved, and total system size. It lets you move from a single-panel estimate to a sized, costed installation in a few slider movements.
Related calculators
- Photovoltaic Cell I-V Characteristics — drops one level down to the cell itself, showing how irradiance and temperature reshape the current-voltage curve and set the efficiency you plug into the panel formula.
- Solar Radiation calculator — helps you estimate the irradiance G and the peak-sun-hours for a given location and orientation, the inputs the panel calculation depends on most.
- Wind Turbine Power Simulator — the natural companion for a hybrid renewable system, where wind often produces when the sun does not.
You can explore the rest in the environment and energy tools hub.
Closing note
Solar estimation rests on one compact idea: electrical power is irradiance times area times efficiency, and daily energy is that power multiplied by an equivalent number of full-sun hours. The formula is simple enough to do on paper, which is exactly why it is worth doing — it builds the intuition that a 400 W panel is a peak figure, that a kilowatt-hour is a peak figure stretched over time, and that real systems sit somewhere below both. Start with the clean calculation, then subtract honestly for temperature, weather, and system losses, and your energy budget will hold up.
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