THE WIND POWER BOOK
(Page 8 of 9)
10,000
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KWH 3, 413
3,413
Rarely is it a simple task to estimate the wind energy
available at a particular site ...the windspeed is
constantly changing. During one minute, 300 watts of power
may be generated by a windmill, or 300 watt-minutes of
energy (which equals 5 WH). During the next minute the wind
may die, and you get absolutely no energy or power from the
machine. The power output is constantly changing with the
windspeed, and the accumulated wind energy is increasing
with time. The wind energy extracted by the machine is the
summation or total of all the minute-by-minute (or whatever
other time interval you care to use) energy contributions.
For example, if there are 30 minutes during a particular
hour when the windmill is generating 5 WH and another 30
minutes when there is no energy generated, then the machine
generates 150 WH (5 X 30 = 150) of wind energy. If there
are 24 such hours a day, then 3,600 WH or 3.6 KWH are
generated that day.
WIND ENERGY AND WIND
POWER
Energy and power are derived from the wind by making use of
the force it exerts on solid objects, pushing them along.
Buildings designed to stand still against this force
extract very little energy from the wind. But windmill
blades are designed to move in response to this force, and
wind machines can extract a substantial portion of the
energy and power available.
The wind energy available in a unit volume (one cubic foot
or one cubic meter) of air depends only upon the air
density p (Greek "rho") and the instantaneous windspeed V.
This "kinetic energy" of the air in motion is given by the
formula
Kinetic Energ y
= 1/g X p X V'
Unit Volume
To find the kinetic energy in a particular volume of air,
you just multiply by that volume. The volume of air that
passes through an imaginary surface —say the disk
swept out by a horizontal-axis windmill oriented at right
angles to the wind direction is equal to
Volume- A X V X t
where t is the elapsed time (in seconds) and A is the area
(in square feet or square meters) of the surface in
question. Thus, the wind energy that flows through the
surface during time t is just
Available Energy = 1/2 X p X V 3 X A X t
Wind power is the amount of energy which flows through the
surface per unit time, and is calculated by dividing the
wind energy by the elapsed time t. the fraction of the wind
power avail Thus, the wind power available under able that
is actually delivered to a load the same conditions as
above is given or to a storage device by the formula
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