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# 風力發電機製作 及 相關物理計算 MAKING OF WIND TURBINE AND RELATED CALCULATION - PowerPoint PPT Presentation

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MAKING OF WIND TURBINE

AND RELATED CALCULATION

HKPU

Applied Physics Student

Chka Chun Hang

• 引言
• 理論
• 發電機的設計
• 製作過程
• 相關計算
• 演示
Where do winds come from?風從哪裡來?
• Because of the temperature differences(溫差) around the world

Surface Wind

Convection updraft of rising warm Air

What is wind turbine(風力發電機)?

Wind’s kinetic energy(動能)

-> electrical energy(電能)

Theory理論
• By Lenz’s Law (冷次定律)

Induced current(感生電流) opposes(對抗)the change of the magnetic force

Heinrich Lenz

Induced emf-感生電壓

Where ,

• N is the number of turn of coil,
• B is the magnetic field strength

(磁場強度)

• A is the area(面積) of the coil
Design-設計 (3D View)

Supporting Base

Material-物料
• Screw(螺絲) x 8 Bearing(滾珠軸承)x 2
• Copper wire(漆皮銅線) Chopstick(筷子) x 3
• Water bottle(水樽) Magnet (磁石)x 4
• LED 燈x 1 CD case x 1
• )
Making Process-製作過程
• 1. Preparing the material
Making Process-製作過程
• 2.making the frame(骨架) and base

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Making Process-製作過程
• 3. Assembly(集合) the CD case and the base

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Making Process-製作過程
• 4. making the coil by the copper wire
Making Process-製作過程
• 5. assembly to the CD case
Making Process-製作過程
• 5. assembly to the CD case
Making Process-製作過程
• 6. making the rotor(轉片)
Making Process-製作過程
• 6. making the rotor (轉片)

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Making Process-製作過程
• 7. making the turbine(渦輪)

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Making Process-製作過程
• 7. making the turbine (渦輪)

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Making Process-製作過程
• 8. assembly all the component(部件)

Calculation

Power(功率) of Wind turbine
• kinetic energy of a mass in motions is:
• The power in the wind is given by the rate ofchange of energy:
• As mass flow rate is given by:
Power (功率) of Wind turbine
• Also, the rate of change of distance is given by:
• we get:
• Hence, the power can be defined as:
Power (功率) of Wind turbine

Power coefficient(功率系數),

Cpmax= 0.59

Therefore, the extractable power:

No wind turbine can convert(轉換)more than 16/27 (59.3%) of the kinetic energy of the wind into mechanical energy turning a rotor.

German physicist

Albert Betz

Picture captured from http://www.eoearth.org/article/Betz,_Albert

Power (功率) of Wind turbine
• For this turbine,

• Power Coefficient(功率系數), Cp = 0.5
• Air density(密度), ρ = 1.23 kg/m3
• Area of blades(扇葉), A= 0.04*0.2 = 0.008 m2

Wind speed(風速), v = 20km/h = 5.56 m/sec

• P = ½*0.5*1.23*0.008*5.563

= 0.423 W

Induced voltage-感生電壓
• Normally, an AAbattery(電池) is having 1.5V
Factor (影響因素)

Factor(影響因素) of output voltage:

• Wind speed(風速)
• Strength of magnet(磁石強度)
• *The number ofturns of coil, N(線圈圈數)
• *Internal resistance of wire, r(電線內阻)
• Since因為 N ->r ,Iout

• 內阻同圈數對於輸出電流的連帶關係
• 計算輸出功率
• 計算效率