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ElectricalPower Generation
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Winds having following speed are suitable to operate wind turbines.

A

5тИТ255 - 255тИТ25 m/s

B

10тИТ3510^{-35}10тИТ35 m/s

C

20тИТ4520 - 4520тИТ45 m/s

D

30тИТ5530 - 5530тИТ55 m/s

Correct Answer

тЪЩя╕П TE тАв Technical Concept & PrincipleElectricalPower Generation
Option A

5тИТ255 - 255тИТ25 m/s

Quick Summary:

Wind turbines are designed to operate efficiently within a specific wind speed range, typically defined by cut-in, rated, and cut-out speeds. The range of 5тАУ25 m/s covers the operational window for most utility-scale wind turbines, ensuring kinetic energy extraction while avoiding damage at extreme speeds.

тЪЩя╕ПTETechnical SolutionConcept & Principle
ЁЯТб Explanation

Wind turbines are designed to operate efficiently within a specific wind speed range, typically defined by cut-in, rated, and cut-out speeds. The range of 5тАУ25 m/s covers the operational window for most utility-scale wind turbines, ensuring kinetic energy extraction while avoiding damage at extreme speeds.

ЁЯФв Key Formulas

P=12╧БAv3CpP = \frac{1}{2} \rho A v┬│ C_pP=21тАЛ╧БAv3CpтАЛ тАФ Power extracted from wind

Cp=PturbinePwindC_p = \frac{P_{turbine}}{P_{wind}}CpтАЛ=PwindтАЛPturbineтАЛтАЛ тАФ Power coefficient

тЪЩя╕П Working Principle

The wind turbine extracts kinetic energy from the wind using the blades to generate torque. The mechanical power produced is given by P=12╧БAv3CpP = \frac{1}{2} \rho A v┬│ C_pP=21тАЛ╧БAv3CpтАЛ. Below the cut-in speed, there is insufficient torque to overcome inertia. Above the cut-out speed (typically 25 m/s), the turbine is locked or feathered to prevent structural failure due to excessive aerodynamic loads.

ЁЯУМ Key Points
  • тЦ╕

    Cut-in speed: The minimum speed required to start electricity generation (usually 3тАУ5 m/s).

  • тЦ╕

    Rated speed: The speed at which the turbine reaches its maximum rated output power.

  • тЦ╕

    Cut-out speed: The speed at which the turbine is shut down to prevent mechanical damage (typically 25 m/s).

  • тЦ╕

    Power is proportional to the cube of the wind speed (v3v┬│v3).

тЬЕ Advantages
  • тЦ╕

    Sustainable and renewable energy source.

  • тЦ╕

    Low operational and maintenance costs after installation.

тЭМ Disadvantages / Limitations
  • тЦ╕

    Intermittent nature of wind resource.

  • тЦ╕

    Noise pollution and visual impact on landscape.

ЁЯЫая╕П Applications / Uses
  • тЦ╕

    Grid-connected wind farms.

  • тЦ╕

    Off-grid power systems for remote areas.

ЁЯУД Additional Information
  • тЦ╕

    Most commercial wind turbines operate between 3 m/s and 25 m/s.

  • тЦ╕

    Option B, C, and D suggest higher minimum speeds (10, 20, 30 m/s), which would result in poor capacity factors as wind rarely remains at such high speeds consistently.

ЁЯУК Diagram / Illustration
Wind Turbine Power Curvev (m/s)PowerCut-inCut-out
тЬЕ

A is correct тАФ The standard operational speed range for utility-scale wind turbines is approximately 5тАУ25 m/s.

Core Concepts Used
Click any tag to open in AI Tutor
Aerodynamics of Wind Turbines Betz Limit Wind Power Plant Dynamics
ЁЯТб EXAM TIP

Remember that power is proportional to v3v┬│v3; even a small increase in wind speed results in a massive increase in power output until the rated capacity is hit.

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