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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

тЪЩя╕П TE тАв Technical 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.

тЪЩя╕ПTETechnical SolutionConcept & Principle
ЁЯТб 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.

ЁЯФв Key Formulas

P=12╧БAv3CpP = \frac{1}{2} \rho A v^3 C_pP=21тАЛ╧БAv3CpтАЛ тАФ The power extracted from the wind by a turbine, where ╧Б\rho╧Б is air density, AAA is the swept area, vvv is wind velocity, and CpC_pCpтАЛ is the power coefficient.

тЪЩя╕П 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.

ЁЯУМ Key Points
  • тЦ╕

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

  • тЦ╕

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

  • тЦ╕

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

  • тЦ╕

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

тЬЕ Advantages
  • тЦ╕

    Reduces dependency on the main grid for remote locations.

  • тЦ╕

    Low environmental impact and carbon footprint.

  • тЦ╕

    Modular design allows for scalable energy solutions.

тЭМ Disadvantages / Limitations
  • тЦ╕

    High intermittency due to dependence on wind conditions.

  • тЦ╕

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

  • тЦ╕

    Requires battery storage systems for consistent power supply.

ЁЯЫая╕П Applications / Uses
  • тЦ╕

    Remote rural electrification.

  • тЦ╕

    Small home appliances and lighting.

  • тЦ╕

    Battery charging for off-grid sensors and telecom equipment.

ЁЯУД Additional Information
  • тЦ╕

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

  • тЦ╕

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

  • тЦ╕

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

ЁЯУК Diagram / Illustration
Wind Power FormulaP = 0.5 ├Ч ╧Б ├Ч A ├Ч v┬│ ├Ч CpWhere P = Power, A = Swept Area, v = Wind Speed
тЬЕ

B is correct тАФ 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
ЁЯТб 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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