[Greenbuilding] South-facing windows on living spaces lose heat on cloudy days...
nick pine
nick at early.com
Sat Jan 15 14:38:36 CST 2011
John Straube <jfstraube at gmail.com> (aka God? :-) writes:
> ... sunny days are NOT like coin flips
Sure, there are differences, but in my engineering experience, a
statistically-unbiased model with equally-likely cloudy (0 Btu/ft^2 on a
south wall) and sunny (2X average) days at the average monthly outdoor temp
is useful for back-of-the-envelope sizing, before refinement with a
simulation. (A 3-state Markov model can match longer actual weather
patterns more closely, but the next step for me is a simulation using
measured TMY2 hourly local weather data.) I use a metric from PE Norman
Saunders to find the worst-case month for solar house heating: divide the
average amount of sun on a south wall by the indoor-outdoor temperature
difference to find the month with the lowest "Btu/HDD" figure of merit.
The coin-flip model can also be useful for softening the brains of people
who imagine or delude themselves into thinking that direct gain houses can
have high solar heating fractions (eg 90%) or low fuel bills or firewood
consumption (eg 1/2 cord per year) in cold climates, despite simple
physics.. ("How does the house keep itself warm on cloudy days? How often do
cloudy days happen?" How much do you use that wee woodstove?") This works
best with people who are familiar with simple physics. Norman Saunders
called what he did "just physics" -)
>... you cant reach high solar savings fractions using average monthly or
>even daily data.
True, but that's just the first step. Norman started by assuring a house can
keep itself warm on an average day in the worst-case month with passive
solar air heating, THEN added enough heat storage for 5 cloudy days in a
row. A design based on average monthly weather data works well if a house
stores heat for a few cloudy days. Norman said 10 days can further increase
the solar heating fraction, with diminishing returns... 5 days is more
economical. This ballpark design can be tweaked with simulations using TMY
or 30-year measured hourly local weather data.
> Monthly average data can get major savings like 50%., but to get into the
> 60's and higher is really hard in all cold climates.
High solar heating fractions are extremely difficult with direct gain,
because windows on liviing spaces lose heat on cloudy days! With infinite
thermal mass and insulation behind it, a good south window on a living space
can barely keep itself warm on an average December day and night in
Minneapolis...
It's far easier with air heaters or low mass sunspaces with heat storage for
a few cloudy days and DHW preheating. A 40'x60' house with an R40 ceiling
and R30 walls and 96 ft^2 of U0.25 windows and 30 cfm of air leakage and a
30+96x0.25+1504/30+2400/40 = 144 Btu/h-F conductance and an average 65 F
indoor temperature needs 24h(65-17.9)144 = 163K Btu on an average December
day in Minneapolis. If an R30 floorslab with perimeter insulation loses
24h(65-44.9)2400/30 = 39K Btu to 44.9 F deep ground, totaling 202K and 300
kWh/mo of indoor electrical use supplies 34K and 1 ft^2 of R2 100 F air
heater with 80% solar transmission gains 0.8x820-6h(100-22)1ft^2/R2 = 422
Btu/day, we can heat this house with (202K-34K)/422 = 400 ft^2 of solar
siding, eg 8'x50' of the south wall. It needs 840K Btu for 5 cloudy days in
a row, eg 840K/(140-80)/62.33 = 225 ft^3 of 140 F water cooling to 80 in a
4' tall x 8.5' diameter indoor sheet metal tank. If the 219 ft^2 tank
surface has R30 insulatiion, it can supply 100x24h(140-65)219ft^2/R30/168K =
8% of the house heat on an average day with a small solar water heater to
keep it 140 F.
>The highest solar savings fraction that has been documented is now a sola
>seasonal storage system in Alberta and it is drifting toward 90%
A 90% solar heating or "solar savings" fraction? Indoor tanks wouldn't waste
80% of the solar heat...
> I dont know if a tank in a single house is a good solution.
Heat leakage from an indoor tank can help warm a house. And should everyone
suffer if one homeowner wants to leave windows open in wintertime?
> I have seen houses in Europe with exterior 10 000 gallon tanks (that
> should do it for an efficienct house!) and I have seen 2000 gallon tanks
> inside houses in Fairbanks Alaska... Somewhere in that range is likely the
> answer for a modest good house aiming for high solar heating fractions.
Eli Talking wants to turn whole basements into tanks. An old Swedish rule of
thumb said make the collector the size of the house footprint and make the
heat store volume the same as the house volume...1000 gallons work well in
my simulations. The 1700 gallon Minneapolis tank above would be smaller with
more attic or slab insulation, but the house might cost more.
>I just looked at the Drake Landing site...
> It is -20C and has been below -15 or so for a while
> Looks like the 52 houses are drawing 310 or so kW. This is about 6 kW per
> house or 20.5 kBtu/hr for a -4F temperature and 1500-1800 sf above-grade
> house square footage. That is not bad, but it could likely be dialed down
> by 25-50% with a reasonable upgrade in insulation windows, airtightness.
> They have two tanks, each with almost 30 000 gallons. So that works out to
> 60000/52= 1150 gallons per home. If you check the annual report, 80% of
> the solar energy put into the ground is lost, but over 95% of the energy
> put into the tank is able to be used. So maybe 2000 gallons might be
> enough for one home, and should be enough for a super insulated one. Note
> that they have 8 solar panels of about 4'x8' each to collect the heat
> (that aint cheap either).
If most of the house heat comes from air heaters and inherent house mass on
average days, we need fewer collectors to trickle-charge a hot
well-insulated tank. And houses with air heaters that lose no heat on cloudy
days can have smaller tanks.than houses with lots of direct gain windows
that lose heat on cloudy days, right?
> See www.dlsc.ca and look at the most recent newsletter, or just browse.
> All other documented buildings, including highly insulated ones with solar
> air heating, are much less.
John Christopher's rock bed storage CSI building in New Hampshire has been
heated with 98% solar power and 2% fan power for many years..
> Norm Saunders probably got some of his homes to 90%+ (100% if you were
> willing to freeze) but this was never documented.
After lots of conversations and visits with Norman over the last 30 years
(he died 4 years ago, at age 91), I believe his houses were very close to
100% solar heated, starting with monthly weather data averages and air
heating walls and low mass sunspaces and heat storage for 5 cloudy days in a
row. Some of his houses had long track records, more than 10 years. Norman
was a chemical engineer by training, not an academic, but he was designing
transistor circuits around 1950, while most EEs were still using vacuum
tubes :-) His Z80 controllers recorded performance data on cassette tapes
which customers mailed back to him every month, but I doubt this will ever
be documented in an academic sense. Chemist Harold Hay also designed houses
that were very close to 100% solar-heated. Harold Hay and Steve Baer often
denounced academic and government scientists whose careers depend on never
inventing houses that heat themselves :-)
Lawrence Lile <LLile at projsolco.com> writes:
>> > Greetings from Missouri, where we are treated to a month of clouds in a
>> > typical November.
>>
>> NREL says 720 Btu/ft^2 of sun falls on the ground and 1020 falls on a
>> south wall on an average 46.2 F November day with a 54.7 high in St.
>> Louis.
December is the worst-case month for solar house heating, when 940 Btu/ft^2
falls on a south wall on an average 33.9 F day, with 26 Btu/HDD, morer than
820/(65-17.9) = 17.4 in Minneapolis.
> NREL can say whatever they want, but they haven't bothered to look outside
> at the coating of lead that substitutes for skies around here.
You might find that depressing, but NREL has been measuring real hourly
weather data with instruments in St. Louis since 1961.
>Weather averages aren't very good at representing extremes that happen
>rather regularly, but not always on the same date.
Then again, NREL's 30-year hourly weather files are accurate histories, as
are the TMY files compiled from those files.
>"Average" January around here is supposedly 30F because it might literally
>be 0F or it might be 60F on any given date. EVERY January the ponds
>freeze over thick enough to walk on, requiring a couple of weeks below 20F
>to achieve that. Maybe they freeze over in the first two weeks, maybe the
>last two weeks, but they always freeze over. If the temperature was really
>30F all the time they would never freeze over. EVERY January we get at
>least one day dipping below 0F. EVERY January we also get a few freak 60F
>days and maybe a week of 45F to raise the average to an unrealistic number.
NREL's 30 year record min and max are -18 and 76 F.
>Anyone who dresses for 30F every day is going to freeze their ass off, on
>average. Anyone who designs a house for 30F is also going to freeze their
>ass off.
NOT if it stores enough heat for a few cold cloudy days.
> I am pretty tired of hearing about average weather being anywhere near
> representative. It isn't.
Averages are averages. Do you have a problem with that? :-)
>On average, year-round, the temperature here is 52F. Should we design
>houses for 52F outdoor temperatures?
We might, if we live in caves with long time constants.
>... Real heating systems must cope with peak loads, not averages.
Agreed. Whatever distributes the heat from the tank (eg a radiant floor or
fan coil units) or rarely-used wee woodstoves should have the capacity to
keep the house warm at ASHRAE's 99% 2 F or 97.5% 6 F St. Louis winter design
temps. The ASHRAE Handbook of Fundamentals says "Two frequency levels are
offered for each station representing temperatures that have been equaled or
exceeded by 99% or 97.5% of the total hours in the months of December,
January, and February (a total of 2160 hours)... In a normal winter there
would be approximately 22 h at or below the 99% value and 54 h at or below
the 97.5% value... Snelliing (1985) and Crow (1985) found that the duration
in a single episode of extremely low temperatures below the 99% and 97.5%
levels can continue for 3 to 5 days."
Amen.
Nick
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