3 KW PV System

Roof-mounted, 16 Mitsubishi 185 watt panels, for a nominal 2.96 kW DC at the panels. Rated power of solar panels is for 1000 W/m2 solar intensity perpendicular to the panels. We should meet or exceed that at solar noon through much of the summer.

Fronius IG 3000 inverter with data logging. Stated maximum efficiency is 95%, which should turn 2.96 kW DC into 2.8 kW AC at the grid. We weren't getting this during the summer. Maximum AC power in Summer 2009 was 2.7 kW, but 2.5 kW was a more typical AC power at solar noon in summer. However, we did hit 2.8 kW in early April 2010. I think it's because the panels are much cooler in the spring – daily temperature max ≈60°F rather than ≈95°F – and the efficiency of the panels deteriorates with increasing temperature.

Roof is sloped at 18.4° (1-to-3 rise to run) and angled about 15° east of south (an azimuth angle of 165°). I've calculated that the sun is directly perpendicular to the panels on May 8 and August 4. Solar energy incident on the panels decreases with the cosine of the angle between the sun's rays and a line perpendicular the panels. Because cos(18.4°) = 0.95, the peak power at solar noon should be ≥95% of its yearly maximum all the way from March 18 to September 25 – the dates at which the noon angle to the sun is 18.4°. Finally, with the sun dropping lower in the sky, daily peak power drops to ≈75% of maximum at the winter solstice.

HOW MUCH ENERGY DOES A PV PANEL GENERATE OVER THE COURSE OF ONE YEAR? This is a question I asked when deciding what size system we needed, but I had a hard time finding an answer. Information on peak power is easy to come by, but - allowing for weather, changing day lengths, etc. - how much total energy is produced in one year? The answer is clearly going to be location sensitive, better in locations that get more total hours of sunshine. So our results shouldn't be applied blindly to other locations, but in the coastal mountains of central California, where winters tend to be fairly cloudy but summers are virtually full sunshine every day, our 2.96 kW system averaged 5526 kWh/year during the first two years, which is 1866 kWh per year per installed kW. That value should be a reasonably good estimate for much of California, excepting areas close enough to the coast to experience summer fog.


Two-Year Average Generation and Use

This chart shows:
* Monthly kWh generated by the panels (blue bars).
* Monthly kWh used in the house (red bars).
* The difference, or net production (the green bars).
A positive difference (upward green bar) means we generated more electric energy than we used; a negative difference that we used more than we generated.

This is a two-year average from July 1, 2009 through June 30, 2011. There was relatively little difference between the two years. Bar charts of day-by-day PV generation for each of the 24 months are archieved below.

Note: The graph is based on PG&E "billing months," which are offset from actual months by 5 or 6 days.

Our hope was to be electrically neutral over the course of a year, having enough positive net production during summer to offset the heavier use and decreased generation of winter. Winter sees a big increase in useage, primarily from electric baseboard heaters used for supplemental heat upstairs.

We did not meet our goal. The averages for our "solar year" of  July 1 – June 30 are
   Electrical energy used: 6351 kWh
   Electrical energy generated: 5526 kWh
We generated 87% of what we used. We would be very close to neutral with an 18-panel 3.33 kW system.

However, see further comments below about how this is a financial success.
Not quite electrically neutral, but a financial success! A primary goal for most PV owners is to drive their yearly electric bill to zero. Our success there was spot-on perfect. Our bill for the entire first year was –$13, meaning that we generated $13 more electricity we used. For year two, where we cut our use just a bit, the bill for the entire year was –$53. We can do this, despite not being electrically neutral, because we have time-of-day pricing, and we generate an excess at midday summer – the highest rates – while using an excess in winter – the lowest rates. Currently, any negative balance becomes a "gift" to PG&E; they did not send us a check for $13 or $53! And we do pay $12/month simply for the privilege of being a PG&E customer, regardless of use.

With two year's data, we can now estimate the payback time for our PV system. Knowing exactly how much money we saved is difficult to compute exactly, due to the time of day pricing, but I estimate the PV system saves us between $750 and $800 in electric bills for the year. The system cost $22,600 installed. A California energy rebate gave a $6200 credit upfront, so our initial out-of-pocket expense was $16,400. Then there's a 30% federal tax credit, so we saved $4800 on 2009 taxes. Thus our net cost was $11,600. A straight-line payback calculation at $775/year gives a 15 year payback time. Rising energy costs will lower this estimate to, perhaps, around 12 years. Note that payback times, often quoted as 10–15 years, are quite sensitive to assumptions made and to the electricity cost in your area. In any case, the system should last ≈25 years with little or no maintenance, and it should have paid for itself in about half that time.

Typical Summer Production

This graph displays the total kWh generated per day for  July 2010. Summer is right at 20 kWh per day almost every single day. Always full sun here in the summer!

Typical Winter Production

This graph displays the total kWh generated per day for  December 2010. It was very rainy from about Dec 13 to Dec 25. 

The Daily Curve

These curves (data recorded every 15 minutes) show the seasonal performance on a totally clear day. The late afternoon "wing" is presumably just from skylight on the panels since the sun has moved so far to the northwest by late afternoon that it is "behind" the panels. These are displayed as local time, not daylight savings time, so the the four can be compared

Solar noon at our longitude is almost exactly 12:00. The midsummer curve peaks right at 12:00. The peak shift of nearly an hour on the October 1 curve was at first surprising but can be explained partially from the panels facing about 15° east of south and partially from the eccentricity of the earth's orbit, which shifts the sun's position in the sky at noon.

The changing length of the day is clearly visible. Total daily generation on a sunny day in December is less than half of July, due more to the shorter day than to the lesser peak power at noon. The fact that April meets or even exceeds July's peak is due to the cooler temperatures boosting the panel's efficiency.

Back to the Straw Bale House page.

Two years of monthly data showing total kWh generated per day.
July 2009
August 2009
September 2009
October 2009
November 2009
December 2009
January 2010
February 2010
March 2010
April 2010
May 2010
June 2010
July 2010
August 2010
September 2010
October 2010
November 2010
December 2010
January 2011
February 2011
March 2011
April 2011
May 2011
June 2011