This document discusses measuring and analyzing household energy consumption through various meters that track electricity, natural gas, water, and gasoline usage. It describes how to read different types of meters and provides examples of analyzing a home's daily energy profile. Key findings include discovering that unused furnace pilots accounted for a significant portion of natural gas usage, and that lifestyle changes like line-drying clothes and shorter showers led to major reductions in electricity and gas consumption over time.
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Electricity meter
Electricity meters read in kWh (kilowatt-hour)
this is a unit of energy: power times time
1 kWh is 1,000 W over 1 hr = 3,600 seconds
or 1 W over 1000 hours, or 100 W over 10 hours
thus 1 kWh = 3,600,000 J (= 860 kcal)
My electricity bill indicates a cost of $0.13 per
kWh
try getting 860 kcal of food for $0.13
lesson: eat your electricityits cheap!
tastes bad, though: burnt tongue smell/taste
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Measuring your electricity consumption
All houses/apartments have
energy meters to monitor
electricity usage
this is what the bill is based on
Dials accumulate KWh of usage
Disk turns at rate proportional to
power consumption
Kh value is the number of Watt-
hours per turn (1 Wh = 3600 J)
Example: one turn in 10 sec
(7.2 Wh)(3600 J/Wh)/(10 sec) = 2592
J/s 2.6 kW
Takes 138.9 turns for 1 kWh
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Reading those tricky dials
Lets say you want to read a utility electricity meter
Be careful to note the direction of the numbers (usually
flips back and forth)
Round down is the safe bet
Note the third dial below looks like 5, but its really 4.9
(next digit is a nine)
so looking at next dial helps you figure out rounding
note second dial halfway between 0 and 1: next digit ~5
This meter reads 5049.9
the 9.9 reads between the lines in the last dial
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Clicker question
What does this meter read?
A. 11198.8
B. 11088.8
C. 11199
D. 11188.8
E. 22199
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Measuring the wheel rate
Recall that the Kh constant is Watt-hours per turn of the disk
so power is Kh3600disk rate
units are: (Watt-hour)(sec/hour)(turns/sec)
On top of the rotating disk are tick marks with labels every 10
units.
100 units around disk
If disk is moving slowly, can measure half a rotation*
example: from 30 to 80 or 70 to 20
If disk is moving fast, can measure time for 5 or 10 rotations
The the turns/sec could be, for example:
0.5 turns / 132.0 sec 98 W for Kh = 7.2
10 turns / 44.0 sec 5890 W for Kh = 7.2
0.2 turns / 35.0 sec 148 W for Kh = 7.2
* careful here: disk rate can be highly non-uniform; best to measure full rotation
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Digital Meters
Digital meters more pervasive
lately
Cycles through several displays
one is odometer reading in kWh
no tricky dials
Disk is simulated by blocks
that appear/disappear
each change constitutes 1.0 Wh
for my meter
my meter has six disk states
so full cycle is 6 Wh
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disk blocks
0
1
2
3
4
5
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Example day electricity profile
Run microwave (1000 W) for 12 minutes total (0.2 hr)
0.2 kWh
Clothes washer (300 W) for 1 hour
0.3 kWh
Clothes dryer (5000 W) for 1 hour
5 kWh
Movie on TV/DVD (200 W) for 2 hours
0.4 kWh
Desktop computer (100 W) on all day
2.4 kWh
Refrigerator (average 75 W) on all day
1.8 kWh
Lights (total 400 W) for 5 hours
2 kWh
Total comes to 12.1 kWh: not too different from average usage
costs about $1.50 at $0.13 per kWh
Q
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Natural Gas Meter
Dials work just like electricity meter
same round-down method
Lowest dial usually indicates 1000 cf per full revolution
cf means cubic foot, or ft3
Thus each tick is one hundred cf (hcf)
therefore numerical reading in hcf
100 ft3 delivers 1.02 Therms of energy
1 Therm is 100,000 Btu = 105,500,000 J = 29.3 kWh
my gas bill indicates about $1 per Therm
equivalent to $0.034 per kWh: cheaper than electricity
My meter also has a 0.5 cf dial and a 2 cf dial
which I have used to monitor slow usage
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Water meter
Though not a measure of energy,
this can be important because one
thing we do with water is heat it
Meters typically measure in cubic
feet
1 ft3 = 7.48 gallons
1 gallon is 8.33 lb, so 1 ft3 = 62.3 lb
recall that heating 1 lb H2O 1F takes
1 Btu = 1055 J
The meter at right reads 82.114 ft3
the ones digit usually snaps into place
quickly so its not halfway between
numbers for very long
the little triangle spins if water is
flowing
Q
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And finally, gasoline
Gasoline energy content is:
34.8 MJ/liter
47 MJ/kg
125,000 Btu/gallon = 132 MJ/gallon = 36.6 kWh/gallon
At $4.00 per gallon, this is $0.11 per kWh
slightly cheaper than electricity, more expensive than
natural gas
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Energy Profile
Looking at my bills April 2006March 2007, I
saw that my household (2 people) used:
3730 kWh of electricity in a year 10.3 kWh/day
330 Therms of natural gas in a year 0.9 Therms/day
= 26 kWh/day
10 gallons of gasoline every 2 weeks 26 kWh/day
Total is 62 kWh/day = 2580 W
or 1300 W per person
13% of 10,000 W American average
says most activity in commercial sector, not at home
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Something doesnt add up
Something wasnt making sense
0.5 Therms/day = 50,000 Btu/day during summer months
when the only natural gas we used was for hot water
A typical 10-minute shower at 2 gallons per minute means
20 gallons or 166 lbs of water
To heat 166 lbs water from 60 F to 120 F (60 F change)
requires 16660 = 10,000 Btu
Averaging 1 shower/day, we should be using 5 times less
natural gas, or about 0.1 Therms/day
Where is the 0.5 Therms coming from?!
Q
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Watching the dials
I started watching the 2 cf/turn dial on my gas
meter
no gas was being used (no furnace, no hot water)
it was making about 0.72 turns per hour, so 1.44 cf/hr
steady rate, hour after hour
thats 34.6 cf/day, or 0.346 hcf/day = 0.35 Therms/day
this is close to the missing amount!
Where was that gas going?
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The Fix
Shutting off gas to the furnace resulted in a much slower
dial progression
rate was about 0.11 Therms/day
this part must be the water heater pilot
the rest (0.24 Therms/day) was the furnace pilot
this means the (useless) furnace pilot matched the (useful) hot water
heater gas consumption!
also, half the hot water heater gas (0.11 Therms/day) is the pilot
The resultant cost for both pilots was
(0.35 Therms/day)(30.6 days/month)($1.30/Therm)
$14 per month
save almost $10/month by turning off furnace pilot
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But Im not done measuring yet!
How much does a shower take?
10 minute shower: measured 2.75 ft3 = 20.57 gallons
via meter
gas kicked on and used 15.3 ft3 = 0.156 Therms before
it stopped
at rate of 0.5 cf/minute
0.005 Therms/minute = 500 Btu/minute = 30,000 Btu/hr =
8800 W
water heater says 34,000 BTUH on side
Used 15,600 Btu for shower
20.57 gallons = 171 lbs
heating by 60 F requires 10,280 Btu at 100% efficiency
so must be about 10280/15600 = 65% efficient
actually less since shower used 20.57 gallons, but not all hot
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Average Americans
830 kWh electricity per month per household
about 300 kWh per person per month (10 kWh/day)
61012 ft3 of natural gas use in residences per day
480 kWh gas equivalent per month per person (16 kWh/day)
0.5 gallons gasoline per day per person
560 kWh per month equivalent (18 kWh/day)
Total power is 1340 kWh/month (44 kWh/day) = 1820 W
this is 18% of the average Americans total of 10,000 W
so again, most is outside the home (out of sight, out of mind)
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How much better can we do?
Starting in 2007, my wife and I challenged ourselves to
reduce our energy footprint
never turned furnace/pilot back on
low power electric blanket helps!
shorter showers, with cutoff for soaping up
line-dry clothes
all bulbs compact fluorescent, some LED
diligent about turning off unused lights
bike/walk around neighborhood (and bus to work)
install experimental (small) solar photovoltaic system (off-grid;
battery-based) to run TV & living room
since expanded to 1kW peak system; fridge, TV, modem/wireless
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dashed line: started seriously cutting back
pilot light
Tracking home usage of electricity and natural gas since 2006
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Big Reductions
Most substantial savings was gas (no furnace)
Immediately went from 0.84 Therms/day to 0.28 Therms/day
equivalent to 25 kWh/day, now down to 8 kWh/day
now at ~5 kWh/day
now using a fifth of what we used to!
Line-drying clothes had largest electricity impact
some space-heater activity to compensate for no heat
Immediately went from 10.5 kWh/day to 5.5 kWh/day
now at <3 kWh/day
now using a fourth of what we used to
but this requires about three times the energy in natural gas due to the
inefficiency of generation, plus some transmission loss, so the real
post-reduction usage is more than twice that of natural gas
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Carbon Footprints
Each gallon of gasoline contributes 20 lb CO2
Each kWh of electricity from natural gas plant (at 33% net
efficiency) contributes 1.2 lbs CO2
Each Therm of natural gas contributes 11.7 lbs CO2
So my annual household CO2 footprint (2 people):
4600 lbs + 3600 lbs from elec. plus N.G. before April 2007
2400 lbs + 1200 lbs from elec. plus N.G. just after April 2007
7130 lbs per year from gasoline (@ 10,000 miles per year)
15,000 lbs from air travel (at 0.48 lbs/passenger-mile)
See: http://www.earthlab.com/carbon-calculator.html
also Google: carbon footprint calculator
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Lessons
It is illuminating to assess your energy footprint
how much do you get from which sources?
how much would you have to replace without fossil
fuels?
how can you cut down your own usage?
Again we see that the bulk of energy expenditures
are not at home or in our cars
but in the industry, agriculture, transportation,
commercial sectors.
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Announcements and Assignments
Lots of Do the Math posts on this topic
see Guide to Posts from menu bar; list at bottom of page
38. Pilot Lights are Evil
39. Home Heating for the Hardy
41. The Phantoms Ive Killed
46. My Neighbors Use Too Much Energy
53. TED-Stravaganza
Read Chapter 4 for next lecture
HW #4 due Friday 5/03
HW drop box outside my office (SERF 336) for early
turn-in
Quiz 3 due by midnight tonight