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Wind Turbine Design Methods
Robert Scott November 1, 2007
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Advantages of Wind Power
Clean Flexible Large Potential for Growth Economically Viable (most of the time – peak opportunity)
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Design Siting Configurations Sizing Rotor Tower Generator
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Siting Wind speed Climate Conditions Inland or at sea Terrain
Surrounding Community
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Configurations Vertical Axis Disadvantages Darrieus H-Type Savonius
Size limits Reliability
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Configurations Horizontal Axis
3-bladed most common, structures and dynamic considerations 1 and 2-bladed designs exist, but don’t even bother. Upwind or Downwind
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Sizing Designs exist for capacities of <1 kW up to 5 MW.
What are you designing for? Utilities Individual Use Special Use
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Rotor Diameter Blades Control
Larger = higher capacity and higher costs, helps for lower windspeed Blades Airfoils Shape (Twist) Control Stall/Pitch regulated Rotational Speed
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Rotor Control Stall/Pitch regulated Rotational Speed
Cut-in, rated, cut-out velocities
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Tower Type Height Tubular Lattice Tall = smoother air
Short = better for construction
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Wind Variability The terrain of the site affects the wind speed.
Higher roughness lengths slow the wind down more at low elevations.
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Generator Enclosed? Gearbox? Direct-drive?
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Design Process Performance Economics Efficiency Reliability
Infrastructure (~ $1.7 Million per MW) Construction Operational Costs (~ 2% of acquisition costs/yr) Subsidies
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The Power Curve Published power curve for a 1.5 megawatt wind turbine.
Nordex S70. Vc-o≈ 2VR
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Wind Variability Model the wind as a probability density function
The Weibull distribution For wind,
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What does all this tell us?
Capacity Factor: A capacity factor of 35% for a wind turbine is considered good. Ū = 5 m/s CF = 0.05 Ū = 7 m/s CF = 0.18 Ū = 9 m/s CF = 0.42 Ū = 11 m/s CF = 0.73
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Sensitivity Studies – HOMER
Sensitivity to wind speed Ū = 5 m/s: 225,000K $0.15/kWh Ū = 14 m/s: 1,000,000K $0.055/kWh Sensitivity to hub height zH = 40 m 500,000K $0.087/kWh Ū = 5 m/s: 675,000K $0.07/kWh
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The Power Coefficient The power output normalized to the energy density of the wind and the rotor area. Measures the amount of power actually converted out of the power available in the wind
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Optimized Costs of Energy
Optimized Cost of Energy: $0.038/kWh (3% interest) $0.040/kWh (4% interest) $0.042/kWh (5% interest) $0.044/kWh (6% interest) High wind speed areas, U > 10 m/s consistently Maximized hub heights, zH = 100 m Large development – Economies of scale reduce per unit price of turbines. Comparison with other fuels: Coal $0.02 – 0.03/kWh Natural Gas $0.05 – 0.08/kWh Nuclear $0.02 – 0.03/kWh Note: Other fuels, especially coal and nuclear, benefit from not having to include their high external costs in the price of energy. Wind energy also receives a $0.015/kWh tax credit.
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Useful Websites List of wind farms: Wind turbine Manufacturers Current Events
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