The three key input values to determine how large a rooftop solar system needs to be are:
- Insolation value for roof location - Insolation is the amount of solar radiation that hits the earth and is measured in solar energy (i.e., watt) per area. When the sun is directly overhead, the solar energy that passes through the atmosphere and strikes a perpendicular surface at sea level is typically 1000 watts per square meter. This amount varies with latitude, altitude, season of the year, and weather. The map in Figure 1 can be used to estimate insolation across the US. It shows the average annual insolation in kW-h/m2 per day for a fixed solar system that is aimed to the south and tilted toward the sun at the same angle as the lattitude of the location. One can see that for most of the southeastern and western US and Hawaii, excluding the southwestern deserts, an average insolation value of 5 kW-h/m2 per day is a reasonable assumption. This is interpreted as these locations receiving the equivalent of 5 hours per day of full sunlight over a 24 hour period and accounting for yearly variations and typical cloud cover. To get more specific data, a look-up tool such as Solmetric can be used. Figure 2 shows an insolation chart for Los Angeles using this tool. At the optimum tilt (31 deg) and azimuth (190 deg) yearly insolation is 2065 kW-h/m2. This gives an average daily insolation of 5.65 kW-h/m2.
- Panel size and rated power - All solar panels are rated by the amount of DC (direct current) power they produce under standard test conditions. Based on 2018 data collected by the State of California (see Solarpowerrocks.com and Figure 3), the typical solar module is 39" wide by 65" tall (17.6 sq.ft. or 1.6 sq.m.) and has a capacity rating between 285-360 watts. This is based on an average efficiency of 18.7% and using the sun's full insolation capacity of 1000 W/m2) . Using an average annual insolation value of 5, a 320 watt solar module would generate about 1.6 kW-hours on average every day during the year. This value must then be downrated by 10-20% to account for system losses and the conversion of DC power to AC power.
- Average dialy electricity usage - Per the Energy Information Administration (EIA), the average home in the United States uses between 17 kW-h of electricity per day (Hawaii) and 43 kW-h (Louisiana), with the average of approximately 30 kW-h.
Using the above values and a 15% system loss, the average home in Hawaii would require 1.15 x 17 / 1.6 = 12 panels = 215 sq.ft. (20 sq.m.), the average US home would require 1.15 x 30 / 1.6 = 22 panels = 390 sq.ft. (36 sq.m.), and the average home in Louisiana would require 1.15 x 43 / 1.6 = 31 panels = 554 sq.ft. (50 sq.m.).
There are a number of other critical considerations. On the positive side, a more sophisticated (and costly) system that tracks the sun could result in a 30% increase in insolation and similar decrease in required panel area. Conversely, a system that cannot be aligned to the south or tilted at the same angle as the location's lattitude (i.e., due the orientation or pitch of the roof) will receive less insolation. It should also be noted that this amount of solar modules only covers the average daily power usage during the year. The system would be underpowered for days with higher needs, greater cloud coverage than average, nighttime, etc. Conversely, it would be overpowered for days with lower needs, less cloud coverage, peak sunlight, etc. A system would need to be oversized and/or depend upon grid power to make up the additional needs. And, finally, a completely off-grid installation that depends on battery storage for 24 hour power would be subject to another 30% efficiency loss.