939 Days of Solar Power

Posted: 2014-June-27 | Author: Jason Olshefsky | Filed under: Solar | Tags: amps, avoided-cost rate, efficiency, energy, Iberdrola, insolation, photovoltaic, power, Renewable Portfolio Standard, RG&E, RPS, solar, SunPower, volts, watts | Leave a comment »

So the number is a bit random, but there you go. I officially had my solar system connected to the grid on December 1, 2011 … 939 days ago. Based on my usage at the time, I was eligible for tax breaks and grants for a system that could produce about 4,140 kWh a year. The way the math worked out on my house, that meant a 4,140 watt system. I also had to get it grid-tied which means that the electric energy produced from the solar system was to be mingled into the electrical grid; that means I don't have any batteries, and if the power goes out, I don't have power either—even if the solar system had energy available.

Here's some things I learned.

A Few Basics About Electricity

Well, first a basic lesson in electricity. Current is a flow of electrons; voltage is a potential difference between two points of a number of electrons available. If there is a voltage (measured in volts), making an electrical connection through a device allows that potential difference to flow making current (measured in amps). The amount of power (in watts) can be calculated by multiplying the voltage by the current. That power can be used to do work: work or energy is power multiplied by time.

For instance, it takes work to pedal a bicycle one mile; an average person can continuously produce about 100 watts of power. If jee travels 10 miles per hour, it would take 1/10 hours to go a mile, so jee would have exerted 10 watt-hours of energy, or you could say jee did 10 watt-hours of work. Calories are also units of energy (although confusingly food-calories are Calories which are kilocalories or 1000 work calories). Nonetheless, it's about 9 kilocalories of work. (For a sanity check, a cycling calculator indicated you'd burn about 30 kilocalories, and since you'd burn about 8 kilocalories in that time on a 2,000 Calorie-a-day diet, that's 17 kilocalories which is at least in the ballpark.)

Solar Panel Basics

Sorry, I digress. Photovoltaic solar panels convert light to electricity. A panel is usually rated for its power in watts which is calculated under specific conditions—typically something like 1,000 watts per square meter which is the maximum energy from the sun. However, at any point, there is a specific insolation (the amount of sunlight reaching that point.) At the equator during an equinox, the sun is directly overhead, and one square meter sitting on the surface gets the full square meter of solar energy. But if you imagine tilting that panel: once you get to 90 degrees, the sunlight is hitting the edge, and none of it actually strikes the surface, so you'd get zero power, so at angles between, there is some percentage of sun hitting the panel.

On earth, two things are happening: the earth is rotating and the sun is perpendicular to the earth only at one latitude. So as a day goes on, energy from the sun starts hitting one spot on the earth at a very shallow angle, which slowly increases during the day until mid-day when it is as close to perpendicular as it gets (based on latitude) and then gradually decreases until sunset.

The point is if you have a solar panel and it's mounted to your roof, it will only produce its rated power if the sun hits it straight-on. So for a 100-watt solar panel, the naive expectation is that for 8 hours of sunlight, it would convert 800 watt-hours of energy in a day. But because of the latitude adjustment and because of the rotation of the earth, you won't get anywhere close to that number. For instance, my best day around the solstice last year was June 18, 2013 with 26.31 kWh produced over about 16.5 hours or an average of 1,600 watts—barely 38% of the system's rated capacity. And on the best day around the winter solstice (December 28, 2013), the system produced only 4.67 kWh over about 10 hours or 467 watts on average—only 11% of the system's capacity (that day, the peak output was only 1,870 watts or 45% capacity).

And then there's cloudy days which I'm just going to totally omit.

Well, enough about solar panels for now …

My System

The installed cost was $23,240 or $5.61/watt. That's probably about typical. The solar panels alone were $13,000 and the grid-tie inverter was $2,000. All the hardware and wiring cost another $3,000, so the solar stuff alone was $18,000. Permits were almost $2,000, and labor was $3,000, making up the rest.

Installation Grant

If you live in New York State like I do and you look at your electric bill, there is a charge buried in the fees that is called the "Renewable Portfolio Standard (RPS) charge" which is described as "a state-mandated charge that funds renewable energy projects to achieve targets established by the Public Service Commission." I believe this is what funds the state-level grant. At the time I installed my system, they were offering $1.75 per installed watt, up to a maximum of 40% of the system installed cost. That meant a grant of $7,245. One thing that might change is to offer an incentive for buy-back of excess power at a generous rate—also from that same fund, and replacing the installation grant. This is what Canada does—they offer to buy power at a rate of over $0.50/kWh; at that rate, my system would net about $2,000 a year.

Tax Breaks

Next, there were some serious tax breaks. On the federal side, there was a 30% credit on the installed cost, and New York State offered a credit of 25%. That meant about $4,800 on federal and $4,000 on state. Those tax credits are a little weird and I'm glad I have an accountant to handle it: since I didn't have that much tax to pay in any one year, he figured out how to apply it over multiple years. So going back to the dollars, the whole system was $23,240 minus $7,245 from the RPS funds, and I had to come up with $16,000. Over the course of several years, I got tax breaks totaling $8,800, so in the end, I had to pay $7,200 for the system.

Additional Costs

However, there was another cost that was kind of hidden. The solar system had to be connected to my breaker box, but I didn't have enough open slots for new breakers to hook it up. I had to pay about $2,000 to get a new electrical panel installed and get a new wire run from the pole to my house. I could have gone with a 150-amp service, but it was only a hundred dollars more to go with 200-amps and allow for a lot of future expansion (if I had to replace the 150-amp box, it would be another $2,000).

A New Electric Meter

I also got a new electrical meter with a digital display. But it's really confusing since it cycles between "001", "002", "F", and all-segments on (the last two are apparently for testing.) There's a blinking arrow as well which points left when the system produces more than is being used, and energy is going back to the grid or right for when the usage is higher than the production and energy is being drawn from the grid. When it's drawing from the grid, that's accumulated on "001", and when it's adding to the grid, that's accumulated on "002". In theory if I were producing exactly what I was using, neither value would increase. If you do the math, you can't determine how much solar energy has been produced. However, an additional meter in the basement shows exactly that (it's another digital, but it's nothing to do with the gas and electric company).

So on December 1, 2011, it all got switched on, and I started adding energy back to the grid. Well, you saw the numbers for December … nothing going back to the grid.

Producing and Consuming Energy Throughout the Year

The way it works is what I like to think of as an energy bank account. My utility company, RG&E (well, actually Spanish company Iberdrola, but that's another story) keeps track of the electricity usage and generation. On months when the system produces more than usage, the surplus energy gets added to the "bank account". On months when the system produces less than usage, energy is first removed from the "bank account" until none is left, and I start having to pay again.

You'll hear from installers that RG&E will "buy back" your excess. So I was naively thinking they'd buy it at the same rate they sell it which would be nice—something like $0.11/kWh in the end. Well, they buy back at the uselessly-named "avoided-cost rate" which is (theoretically) what they pay to buy from the national grid. That is more like $0.05/kWh. This past year they bought back 347 kWh at (exactly) $0.04956232/kWh for a whopping $17.20 credit on my bill.

Now, if you do nothing, they'll buy back the energy on the month you activated the system. So in my case, they would take the surplus I built up all summer and pay out at $0.05/kWh, and then for the rest of winter when the system wasn't producing enough, I'd be paying for electricity. However, you can call your energy supplier and change your "credit date" to something more useful. I took a guess and figured that April or May would be a good time so I set it to that. It seems to work out because, like I said, I had a surplus of 347 kWh and have not had to pay for any electricity.

Another gotcha with this system is that RG&E charges a fixed "customer charge" for the privilege of being hooked up to the grid. Last month it was $21.38, and that's been pretty steady.

Online Monitoring

On another note, my system is through SunPower, so there's an online monitoring system. I have access to more information (and after some time figured out how to get them to e-mail me summarized data each month) but you can see my system here. My installer said I'd love it, but it's all powered by Adobe Flash, so it's actually kind of annoying and difficult to use. If you find this helpful and want a system of your own, there's always this link that gets me a cash kickback if you get a solar system through SunPower.

Summary

Since it's been enough time, I can do the math on my rate of payback. Well, I can get pretty close anyway.

According to the data from SunPower, in 2013, the system generated 3,949 kWh of electricity (or, you might think of it as averaging out to a 450-watt power plant, perhaps in comparison to the Ginna Nuclear Generating Station that supplies most of the Rochester area—which by similar calculation is a 560,000,000-watt power plant). Based on data from RG&E, my home consumed 2,432 kWh from the grid and added 2,694 kWh to it. So supposedly of the 3,949 kWh the system produced, 2,694 kWh went back to the grid, leaving 1,255 kWh consumed in the house. Since I drew 2,432 kWh from the grid as well, that totals 3,687 kWh consumed. That leaves an excess of 262 kWh which is pretty close to the 347 kWh from my last bill.

Back in 2011 I was on ConEd's Green Power which was costing around $0.095/kWh with taxes and everything (but not counting the monthly charge which would have equated to $0.158/kWh). So just looking at the base cost of electricity, that's $583 in saved usage and $17 in extra production or an even $600 total. In the end, I paid $7,200 for the system, so assuming 2013 is an average year and electricity rates stay the same, it pays for itself in about 12 years. Of course, if the cost of electricity doubled, that means the system pays off in half the time. Nonetheless, having the capacity to generate electricity is a boon no matter what. And if you factor in the added value to the home, the system kind of pays off instantly.

But money isn't my motivation in this. I liked the idea of being part of a group getting us away from fossil fuel and nuclear usage. And if you figure the electricity I use is mostly produced just a few feet from where it's used. The U.S Government claims only 6% is lost from production to consumption, but I find that hard to believe as a typical high-power transformer is about 97% efficient, and at least four are needed from a generator to a household, so that's 89% efficient or an 11% loss. In any case, eliminating much of the grid offers possible gains in efficiency.

Addenda

June 27, 2014: Added the kickback link and wanted to mention that the ridge of my house runs almost due north-south, so my solar panels are actually installed on the west-facing side. While a better orientation, or a tracking system would use the panels more efficiently, there's also the factor of cost, and to be honest, it's not that big a gain to orient them differently.

August 9, 2014: Did a few grammar edits and added the bit about being a power plant.

Marcy 15, 2015: My payback period was way off so I recalculated the numbers and fixed it.

Energy Game: e-mailing the original idea

Posted: 2006-December-15 | Author: Jason Olshefsky | Filed under: Energy Game | Tags: calorie, efficiency, electricity, gasoline, generator, killowatt-hour, kilocalorie, watt-hour | Leave a comment »

The initial e-mail was as follows:

To help people manage their energy choices, I'd like to make the radical suggestion that you look at everything you bring simply for its energy content. Well, let's say limited to the devices that generate or convert energy forms, fuel, and things to burn. Including the food for people.

The key is to examine the energy with some common unit (although the sources of energy would be put in separate tables.) I want it to be the Calorie (with a big "C"; kilocalorie, that is … the one we use for food.) Obviously, then, all your food will be broken down into a list of the total calories. Gasoline, for instance, at 36.5 kilowatt-hours per gallon works out to an equivalent of 31,400 Calories per gallon (that's almost 16 days at 2,000 Calories per day, in case you're curious.)

For devices that take energy as input (i.e. gasoline in a generator) and produce energy as output (i.e. electricity from a generator) then you'd note it on the "source" energy table as a thing that consumes (i.e. a loss) and a supply of energy (i.e. a gain) on the "destination" energy table. For something like a solar panel, it would simply produce energy without consuming any — although it is from sunlight, you don't carry the sunlight in with you (despite the neat metaphor.) Consumers of energy would just show up as negatives (i.e. light bulbs would consume electrical energy; people would consume food.)

So a really basic set of tables for a camp of 10 people for 6 days who want to bring a 5KW generator, 5 gallons of gas, and a 100-watt string of lights they intend to run for 6 hours each day, it would look like this:

Food ---- +120,000 Amount of food to bring -120,000 10 people consuming 2,000 Calories a day for 6 days consume 120,000 Calories. -------- 0

Gasoline -------- +157,000 5 gallons of gas - 52,000 Energy used by the generator to run the lights (see note below.) -105,000 Take home 3.1 gallons of gas -------- 0

Electricity ----------- +3,100 Energy produced by the generator to run the lights (see note below.) -3,100 100 watts * 6 hours per day * 6 days ------ 0

(A note about the generator efficiency: a not-too-unusual 5500 watt generator I found on the Internet consumes 0.63 gallons/hour at peak efficiency of 50% capacity (2750 watts). Simply scaling that linearly would mean that 100 watts would consume 0.023 gallons/hour or about 720 Calories-per-hour and produce 86 Calories-per-hour. However, a gasoline engine's efficiency falls sharply when it's not being run at ideal power, so I'm guessing the efficiency would be twice as bad, thus, for the same 100 watts, it's 0.046 gallons/hour or about 1440 Calories-per-hour. Multiplying that out for the 6 days at 6 hours a day and it's 51,840 Calories.)

[Anyway, this camp chose their generator quite poorly and they probably wouldn't have, but I'm just using it as an example. It took me a while to piece the numbers together, but all these conversions can be provided in a table.]

Now the trick is to make it less like doing U.S. Income Taxes and more like fun. I talked with my friend Sondra Carr about it and she suggested one of those slide-rule kind of wheels to do conversions because she finds them more fun that filling out forms. I had suggested units of "loaves of bread" or something and she liked that — especially if this could all be coupled with a camp where you'd make a solar-baked loaf of bread, and while it's baking, to learn about how to do this analysis and to get a slide-rule wheel with the pertinent information.

Anyway, what's the education about it? My goal is to make it like the "remove packaging before you leave so you don't have to carry so much trash home" kind of elegance. I like that statement because it makes perfect sense and if you follow it, you go "wow: why is there all this friggin' packaging?" as you look at the pile in your living room when you've gone through all your convenience foods. It doesn't judge or condemn or make more work to make you learn something.

This is what I like about this:

I think it can be made into a useful tool to help analyze a camp's energy usage. It's one of those things that gets overlooked in the planning process. How many of us have heard, "I don't know … just grab a 1,000 watt generator and bring like 20 gallons of gas and we should be all set."
I think Calories put it into a human perspective: I had never done the conversion, but to think that the energy in a gallon of gas is the same amount of energy the average person needs for two weeks … wow.
I think it shows how inefficient generators are and helps to identify where your energy goes. There is probably more work to be done here — I had originally wanted to do one big table so I could show waste (i.e. 52,000 Calories of gas becomes 3,100 Calories of electricity so 95% of the energy in the gas is wasted) but it was too cumbersome to present.
I think it gives people a tangible idea of what energy is and where it goes. There is probably more work to be done here … I mean making it more concrete — make apples the unit (so a gallon of gas would be equivalent to about 350 apples) or bread … I like bread because it's so rooted in cultural traditions.