what is the mathematical equation for wind power?
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How to calculate power output of wind. k = 0.000133 A constant to yield power in kilowatts. (Multiplying the above kilowatt answer by 1.340 converts it to horse- power [i.e., 1 kW = 1.340 horsepower]). The rotor swept area, A, is important because the rotor is the part of the turbine that captures the wind energy.
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Wind turbines come in a variety of sizes, depending upon the use of the electricity produced. A large, utility-scale turbine may have blades over 165 feet (50 meters) long, meaning the diameter of the rotor is over 325 feet (100 meters) – more than the length of a football field.
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The average size of onshore turbines being manufactured today is around 2.5-3 MW, with blades of about 50 metres length. It can power more than 1,500 average EU households. An average offshore wind turbine of 3.6 MW can power more than 3,312 average EU households.
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Maximum power point tracking (MPPT) or sometimes just power point tracking (PPT)) is a technique used commonly with wind turbines and photovoltaic (PV) solar systems to maximize power extraction under all conditions.
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Use the Ohm's law formula: Power (watts) = Voltage (volts) x I current (amps). Arrange the equation for three-phase power to solve the current (amps): Current (amps) = power (watts) ÷ voltage (volts) ÷ square root of 3 (1.732) ÷ power factor; I = P ÷ (V_1. 732_p.
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The equation is: Cost = power (kilowatt) × time (hour) × cost of 1 kWh (pence). The Sun also asked energy experts from Energyhelpline to estimate the cost of running a fan for 12 hours a night, and they found that it'd cost you from 7.76p to 15.59p on average.
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Wind turbines work on a simple principle: instead of using electricity to make wind—like a fan—wind turbines use wind to make electricity. Wind turns the propeller-like blades of a turbine around a rotor, which spins a generator, which creates electricity.
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What materials are used to make wind turbines? According to a report from the National Renewable Energy Laboratory, wind turbines are predominantly made of steel (71-79% of total turbine mass), fiberglass, resin, or plastic (11-16%), iron or cast iron (5- 17%), copper (1%), and aluminum (0-2%).
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['For example, if the wind speed is 70 mph, the wind pressure is 0.00256 x 702 = 12.5 psf.', 'An alternative to calculating wind pressure at a particular wind speed is to use the standard for various wind zones.']
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The answer, according to the American Wind Energy Association, is that it takes somewhere in the range of 200 to 230 tons of steel to make a single wind turbine.
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The size of the wind turbine you need depends on your application. Small turbines range in size from 20 Watts to 100 kilowatts (kW).
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['Using the formula given in books using mmH2O as pressure.', 'Kw = (m3/sec x Pressure mmH2O) /102 = 16 x 500 /102 = 78.4 Kw.', 'Using the formula given by Ted as Watt = m3/sec x pressure (pa)', '500 mmH2O = 500 x 9.8 = 4900 pascal.']
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average wind speed = 10 m/s (20 mph) Power = 0.0006 x 0.42 x 1000 = 250 Watts per square meter. Electricity generated is then . 25 KWH per sq.
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A wind turbine costs, on average, C$8,000-C$11,000/kW (US$6,000-US$8,200/kW) to install. So, a turbine that can generate 10 kW can cost between C$80,000 and C$110,000.
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Most homeowners using a wind turbine as their primary source of electricity install between 5 to 15 kW of wind power capacity, meaning they can expect to pay between $15,000 and $75,000 for their small wind turbine project.
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The ratio of this reduction to that of the air velocity far away from the wind turbine is called the axial induction factor. It is defined as below: where a is the axial induction factor, U1 is the wind speed far away upstream from the rotor, and U2 is the wind speed at the rotor.
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The equation is W = AV(sqrt 3) where A is amperes, V is volts, and sqrt 3 is the square root of 33 (about 1.73). W is the power consumption in watts. For example, if the electric motor uses 50 amps at 240 volts, the wattage is 50 x 240 x 1.73, or 20,760 watts.