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Small
Water Power Siting
Paul Cunningham
There are small streams running over much of the
countryside. Perhaps you are wondering if a brook in
your area is suitable for developing into a power
source. The following is intended to show the
procedure I used in my case to arrive at solutions to
various problems. Discussing the thinking involved
will provide some interesting insights.
How
Much is Enough
A small scale water
power system requires a more specific site than either
a wind or photovoltaic one. You do need to have some
flowing water. On the other hand, it isn't necessary
to have very much, or much pressure, and it doesn't
have to be very close to the point of use. My
situation will illustrate this.
Here in the Canadian
Maritimes it is difficult to go very far without
finding some type of stream. I live in an area of
rugged topography which enhances the water power
potential. My house is located near a brook that most
times of the year has a fairly low flow rate. There is
normally little water in the stream above the house
while water from springs which come to the surface
steadily increase the flow as the water runs downhill.
One logical place for
the intake and beginning of the pipeline is near my
house. Although flow increases further downstream, the
slope decreases. Near the house the brook drops around
8 feet for every 100 horizontal feet. So running a
pipeline downstream 1,000 feet produces a combined
drop or "head" of 75 feet. This looked like
a reasonable place to start although the site permits
running a pipeline 3,000 feet before the brook meets
another one running almost level.
1000 ft. of 1.5 in.
polyethylene pipe was purchased (in 1978) and simply
laid on the ground. A small screened box served as the
intake and was set in the brook with a "dam"
of earth and rocks sufficient to raise the water level
about one foot. At this site, the maximum power will
be produced at a flow rate of about 20 gallons per
minute (GPM). This is the point where the dynamic
(running or net) head is equal to two thirds of the
static head. So there will be 50 feet of net head at
the end of the pipe when the water is running with a
suitable nozzle at the end.
Losses within the Pipe
Any increase in flow
will result in a decrease in power available due to
increased pipe friction losses. Right away one third
of the precious power potential is lost. At lower flow
rates the pipe loss decreases which results in an
increase in efficiency as flow decreases.
So why don’t I use a
larger pipe? Well, it costs more and sometimes 20 GPM
is all there is in the brook. Also a larger pipe would
aggravate the problem of freezing at low temperatures
with no insulating snow cover. This is because the
residence time would increase with larger pipe. In my
case, the water entering the pipe is (slightly) above
freezing and cools as it travels along (when
temperatures are very low).
So why don't I bury it?
Yes that would be nice and hopefully I will when I can
afford that and larger pipe too. It is a case of the
shoemaker being inadequately shod as I content myself
with the present system. Besides, it has spurred me on
to other possibilities that we will look at later in
future articles.
Nozzle
Velocity
Back to the 20 GPM at
50 foot head. A 3/8 inch diameter nozzle is about the
right size for this, giving l9 GPM according to the
spouting formula the velocity of a jet of water will
be:
V= Ö2gH = Ö2 * 32.2 *
50= 56.7 ft./sec.
g = 32.2 feet/sec/sec
(acceleration due to gravity)
H = head, expressed in
feet
Moving
Water as Energy!
How much potential
power is this? A U.S. gallon of water weighs 8.34 lbs.
and the flow is 19 GPM; then 8.34 lbs. per gallon X 19
gallons per minute = 158 lbs. per minute. Now, 158
pounds of water per minute falling 50 feet has 7,900
foot-pounds/minute of energy (simply multiply the
factors). Conversion to horsepower is accomplished by
division by 33,000, thus 7900/33,000 = .24 horsepower.
Since 746 Watts of energy is equivalent to one
horsepower, .24 hp. X 746 Watts per hp. = 179 Watts of
potential squirting out the nozzle. This means that
the potential power was .36 horsepower or 269 Watts
before going through the pipe. Since nozzles tend to
be very efficient not much loss is expected. But keep
in mind that every time the energy goes through a
change, power is lost. All right, how about a 9 Watt
loss to make an even 170 Watts.
This may appear a
little sloppy. But you must realize that these systems
do not have to be very precise -- they are quite
forgiving. Also many of the measurements are difficult
to determine with high accuracy. So close
approximations are sufficient.
Thus far things are
reasonably straightforward - a pipeline with a nozzle
at the end. Now what Conventional practice would
suggest some sort of impulse turbine such as a Pelton
or Turgo. It would also be possible to use a reaction
machine. It would have to resemble one of those
spinning lawn sprinklers rather than say, a propeller
type. This is because of the very small nozzle area.
The impulse type looked easier to build.
Low
Voltage DC Hydro
At this site it is
necessary to send the power back upstream 1,000 feet
to the house. I wanted to use 12 VDC and wanted some
way to transmit the power other than the very large
wire that would be required at this voltage.
In the spring, when the
flow in the brook was very high, various 12 VDC
generators were operated with the pipeline ending near
the house. But this could only be temporary, as ways
of solving the transmission problem had to be
discovered. Of course using wires wasn't the only
possibility. I could always charge batteries
downstream at the generator and then carry them up to
the house. Or perhaps a reciprocating rod kept in
tension could be used to transmit the power. But all
things considered, producing electricity at a voltage
higher than 12 VDC looked the easiest.
Let's
Raise the Voltage
I thought generating AC
electricity at 60 Hz. like regular commercial power
would permit using standard transformers and make it
easy to change the voltage. For this I bought a
"Virden Permabilt" 120 VAC generator. This
produces 1,200 Watts rated output and 60 Hz. at 3600
RPM. These machines are reworked DC auto generators
with rewound field, rotor with a slip ring and brush
to carry the output.
An impulse turbine
should have a surface speed of about half the jet
velocity. So at 56 feet per second, a turbine wheel
slightly less than 2 inches in pitch (hydraulic)
diameter is required. This is a little on the small
side but I did make a Turgo wheel of this size so the
rotational speed would be right for direct drive. Yes
it's possible to use speed increasers with a larger
turbine but I didn’t think there was anything to
gain and only power to be lost. It turned out that the
alternator would not generate t 20 VAC at a low power
level. The field required 10% of the rated 1200 Watts
output to put out 120 VAC regardless of the load.
Therefore a lower output voltage was necessary to
properly balance the system. It was determined that
under the site conditions an output of 50 Watts at 24
to 25 Volts was required to be in the correct ratio:
120 VAC/10 Amperes = 24 VAC/2 Amperes or 48 Watts.
Now you are probably
wondering how come only 48 Watts was being produced.
Well that is what that combination of turbine and
generator put out. And this isn't the end either. Next
the juice went through a 25-110 volt transformer,
through 1000 feet of 18 gauge wire (two strands),
another transformer down to 12 volts and then through
rectifiers to give DC. In the end only 25 Watts or
about 2 Amperes actually found its way to the battery.
This setup didn't last
long enough to make many improvements. It was hard
just keeping it alive. The alternator used only one
slip ring. The other conductor was the bronze tail
bearing! Both items had limited life under 24 hour
service. Besides the efficiency was low anyway.
A
Functioning Higher Voltage System
I still needed a
reasonable system. At least one with a longer life. In
the next attempt a 4 inch pitch Pelton Turbine was
cast in epoxy using a silicone rubber mold. This
directly drove a car alternator with a rheostat in
series with the field to adjust the output.
Transformers (3) were connected to the three phase
output to raise the voltage for transmission with the
(now) 3-18 gauge lines. Then a similar set of three
transformers were used at the house to lower the
voltage and a rectifier to make the DC conversion.
About 50 Watts was still generated (4 Amperes at 12
volts) but more made it into the battery --- about 3
Amperes. The reason for this is the automotive
alternators have more poles (12 Ford, 14 Delco) and
generate at a higher frequency. This improves the
efficiency of small transformers even though they are
"designed" to work at 60 Hz. Now the system
has an efficiency of around 21% (36 Watts/170 Watts)
using the power available at the nozzle as the
starting point.
What
Can Be Done With 25 Watts
Three Amperes in a 12
VDC system doesn't sound like much. But this is
sufficient to run the lights, a small fridge (Koolatron)
and a tape player-radio. My house is small and so are
my needs. There was sometimes even extra power and I
could run Christmas lights or leave on things just to
use the extra power.
At some point it
occurred to me that I might generate more than
electricity if I could produce turbines for others in
a similar situation. Peltons were made first for sale.
Originally these were made of epoxy and later of a
high-strength and abrasion resistant Polyurethane.
This endeavor busied me some but it soon became
apparent that to survive doing this sort of thing
would mean producing complete generating units.
Turgos
Turgo turbines looked
more reasonable than the Peltons for this, due to
their greater flow handling capability for a given
size. Using a 4 inch pitch diameter turbine wheel
allowed as many as four one inch diameter nozzles to
be used. This resulted in a very versatile machine.
The first production
models used automotive alternators (Delco) since they
are inexpensive, dependable, available and most people
wanted 12 VDC output. But these couldn't operate with
heads of less than 20 feet or so. Also the efficiency
of these alternators is in the 40-50% range and I
thought there was room for improvement.
Back in the R and D
department, work was proceeding to develop a better
machine. The Turgo turbines operate in the 60-70%
efficiency range. These are made in re-usable silicone
rubber molds. This placed certain constraints on their
design and so limited the efficiency. But other tests
showed there wasn't much to be gained by changing the
shape of such a small wheel.
Permanent
Magnet Generators
However, the generators
used so far had efficiencies in the 50% range or less.
They also had electric field coils which made for easy
adjustment of the output but also took part of the
output to operate. It looked like the use of a
permanent-magnet (PM) field would be a help and could
make operation at very low heads feasible. Yes, DC
motors with PM fields could be used as generators. But
my experience with machines where brushes carried the
full output was disappointing. Longevity was a problem
--- remember these are going to run 24 hours a day. If
alternating current could be generated then
transformers can be used to alter the voltage to suit
the site.
It is well established
that the most efficient generator type, especially in
small sizes and at low speeds, is the PM-rotor
alternator. Just like a bicycle generator. There is
also nothing to wear out besides two ball bearings.
That would be a feature and a half.
After a few tries,
standard induction motors were used by keeping the
stators and building new PM rotors. This produced a
machine capable of generating power with an efficiency
of over 80%. Standard 60 Hz. AC output was possible at
1800 RPM for these 4 pole machines. Experience
suggested that frequencies of 50-400 Hz. would operate
standard transformers quite well. This, combined with
the reconnectable output wiring, produced a machine
able to generate almost any voltage.
Meanwhile
Back At The Ranch...
So how is it looking
back at my site? Using the new PM rotor alternator
about 100 Watts of power is produced. This is an
efficiency of 100 Watts/170 Watts or about 59%.
Dynamometer testing of the alternator shows it has an
efficiency of 85% at this condition which means the
turbine is running at 69%. Now 120 VAC is generated so
no transformers are used at the generating site. The
same transformer set used with the Delco installation
is used at the battery end. About 6 Amperes are
delivered to the 12 volt battery. This gives an
overall efficiency of 72/170 or 42% water to wire
(water to battery?).
With this system
appliances can be tun directly off the alternator
output as long as this requirement is less than the
available power. This creates a hybrid setup that
produces both 120 VAC @ 60 Hz. and 12 VDC. A future
article will discuss how to deal with more difficult
sites.
Access
Paul Cunningham,
Energy Systems & Design,
P.O. Box 4557, Sussex, NB Canada E4E 5L7
Tel: (506) 433-3151
Paul
Cunningham is CEO of Energy Systems & Design. He
manufactures water machines and lives on hydro power.
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