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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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How much power does the small scale wind machine generate?

A

18 KW

B

2 KW

C

12 KW

D

30 KW

Correct Answer

Concept & PrincipleElectricalPower Generation
Option B

2 KW

Quick Summary: In small-scale wind energy conversion systems (WECS), the power generation capacity is typically categorized into micro, small, and large-scale applications. A small-scale wind turbine for domestic or standalone rural application is standardly rated at approximately 2 kW.

💡 Explanation

In small-scale wind energy conversion systems (WECS), the power generation capacity is typically categorized into micro, small, and large-scale applications. A small-scale wind turbine for domestic or standalone rural application is standardly rated at approximately 2 kW.

🔢 Key Formulas

P=12ρAv3CpP = \frac{1}{2} \rho A v^3 C_pP=21​ρAv3Cp​ — The power extracted from the wind by a turbine, where ρ\rhoρ is air density, AAA is the swept area, vvv is wind velocity, and CpC_pCp​ is the power coefficient.

⚙️ Working Principle

The wind turbine converts the kinetic energy of air into rotational mechanical energy using blades. This mechanical torque drives an electromagnetic generator, which converts the rotation into electrical power according to the principle of electromagnetic induction. The power output is determined by the wind speed, blade swept area, and air density.

📌 Key Points
  • ▸

    Small-scale wind turbines (micro-wind) are generally defined as having a capacity below 5 kW.

  • ▸

    Power output is proportional to the cube of the wind speed (v3v^3v3), making velocity the most critical parameter.

  • ▸

    The Betz Limit restricts the maximum theoretical power coefficient (CpC_pCp​) to 59.3%.

  • ▸

    These systems often use permanent magnet synchronous generators (PMSG) for efficiency at low RPM.

✅ Advantages
  • ▸

    Reduces dependency on the main grid for remote locations.

  • ▸

    Low environmental impact and carbon footprint.

  • ▸

    Modular design allows for scalable energy solutions.

❌ Disadvantages / Limitations
  • ▸

    High intermittency due to dependence on wind conditions.

  • ▸

    High initial cost per kilowatt compared to large utility-scale wind farms.

  • ▸

    Requires battery storage systems for consistent power supply.

🛠️ Applications / Uses
  • ▸

    Remote rural electrification.

  • ▸

    Small home appliances and lighting.

  • ▸

    Battery charging for off-grid sensors and telecom equipment.

📄 Additional Information
  • ▸

    Small-scale wind machines are primarily designed for decentralized energy generation.

  • ▸

    The 2 kW rating is standard for domestic charging and small-load applications in engineering textbooks.

  • ▸

    Options like 18 kW, 12 kW, and 30 kW represent medium or industrial-scale wind turbine capacities rather than small-scale micro-wind units.

📊 Diagram / Illustration
Wind Power FormulaP = 0.5 × ρ × A × v³ × CpWhere P = Power, A = Swept Area, v = Wind Speed
✅

B is correct — A small-scale wind machine is typically rated at 2 kW for localized or micro-generation applications.

Core Concepts Used
Click any tag to open in AI Tutor
Wind Energy Conversion Systems (WECS) Kinetic Energy to Electrical Energy conversion Small-scale Power Rating
💡 EXAM TIP

Always remember that wind power scales with the cube of wind speed; thus, even a small increase in wind velocity significantly boosts power output.

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