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Chapter 1 of 12 • Page 1 of 248🔒 Protected PDF • Watermarked
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ElectricalPower Generation
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Winds having following speed are suitable to operate wind turbines.

A

5−255 - 255−25 m/s

B

10−3510 - 3510−35 m/s

C

20−4520 - 4520−45 m/s

D

30−5530 - 5530−55 m/s

Correct Answer

Concept & PrincipleElectricalPower Generation
Option A

5−255 - 255−25 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 5–25 m/s covers the operational window for most utility-scale wind turbines, ensuring kinetic energy extraction while avoiding damage at extreme speeds.

💡 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 5–25 m/s covers the operational window for most utility-scale wind turbines, ensuring kinetic energy extraction while avoiding damage at extreme speeds.

🔢 Key Formulas

P=12ρAv3CpP = \frac{1}{2} \rho A v^3 C_pP=21​ρAv3Cp​ — Power extracted from wind

Cp=PturbinePwindC_p = \frac{P_{turbine}}{P_{wind}}Cp​=Pwind​Pturbine​​ — Power coefficient

⚙️ 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=12ρAv3CpP = \frac{1}{2} \rho A v^3 C_pP=21​ρAv3Cp​. 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.

📌 Key Points
  • ▸

    Cut-in speed: The minimum speed required to start electricity generation (usually 3–5 m/s).

  • ▸

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

  • ▸

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

  • ▸

    Power is proportional to the cube of the wind speed (v3v^3v3).

✅ Advantages
  • ▸

    Sustainable and renewable energy source.

  • ▸

    Low operational and maintenance costs after installation.

❌ Disadvantages / Limitations
  • ▸

    Intermittent nature of wind resource.

  • ▸

    Noise pollution and visual impact on landscape.

🛠️ Applications / Uses
  • ▸

    Grid-connected wind farms.

  • ▸

    Off-grid power systems for remote areas.

📄 Additional Information
  • ▸

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

  • ▸

    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.

📊 Diagram / Illustration
Wind Turbine Power Curvev (m/s)PowerCut-inCut-out
✅

A is correct — The standard operational speed range for utility-scale wind turbines is approximately 5–25 m/s.

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

Remember that power is proportional to v3v^3v3; 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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