**Presentation on EFFECTS OF PARAMETERS VARIATION ON WIND POWER GENERATION**

**Objectives**

- To analysis the effects of different parameters variation on wind power generation
- To analysis the Cp vs. λ curve of wind turbine model
- To observe the 2D and 3D view of Cp vs. λ curve for different wind turbine model.

**Output power equation of wind turbine**

Output power, P=0.5ρAV

^{3}C

_{p}

Where,

ρ= Air density, kg/m

^{3}

A=Rotor swept area, m

^{2}

V=Wind velocity, m/s

C

_{p}=Power co-efficient

**Cp vs.**

*λ*equationCp = 0.5 (116/λ

_{i}-0.4α -5) e

^{-21/λi}

Where,

*λ*= {1/

_{i}*(*

*λ+*0.08 α) -0.035/ (α

^{3}+1)}

^{-1}

*λ*= ω

_{m}R / υ

*λ =*Tip speed ratio

α = Blade angle

**Factors affecting the wind power generation**

- The windiness of the site
- Availability
- Seasonal and diurnal variation of wind power
- Effect of height
- Wind velocity variation with time
- Wind turbine arrangement

**Considered parameters**

- Wind velocity (V)
- Turbine swept area (A)
- Air density(ρ)
- Power coefficient (C
_{p})

**Wind velocity**

- Wind velocity has a cubic relation with wind power generation
- Wind speed varies for different reasons-

height,

season,

day night effect etc.

**Three design speed**

- Cut in speed, V
_{c}= (0.6 to 0.7) V_{m} - Rated speed, V
_{r}=(1.5 to2.0) V_{m} - Furling (Cut off) speed, V
_{f }=≥3 V_{m}

**Swept area**

- The swept area of wind turbine’s blades is a function of rotor diameter.
- The power output of a wind turbine is directly related to the swept area.
- If double the swept area, the amount of energy which can capture by the wind turbine will be double.

**Air density**

- Air density is one of the factors that affects the wind turbine power generation.
- Air density is effected by-

Temperature

Pressure

Elevation

**Power coefficient (c**

_{p})- Power coefficient (Cp) is the percentage of power available in the wind that is converted into mechanical power.
- It is a function of blade angle (
**α**), and the tip-speed-ratio, (λ). - Maximum value of Cp is 0.593 but wind turbine rotors achieve values 0.4 to 0.5 due to different loss.

**Simulation model**

**Cp vs.**

**λ**

**(TSR) curve for different blade angle (α) for V52 model**

**3D view of power coefficient (Cp) for V52 model**

**Swept area variation for V52 model**

**Air density variation for V52 model**

**Aerodynamic power variation as a function of (Cp)**

**for V52 model**

**Cp vs. λ curve for different blade angle (α) for V80 model**

**3D view of power coefficient (Cp) for V80 model**

**Swept area variation for V80 model**

**Air density variation for V80 model**

**Aerodynamic power variation as a function of (Cp) for V80 model**

**Cp vs. λ curve for different blade angle (α) for V90 model**

**3D view of power coefficient (Cp) for V90 model**

**Swept area variation for V90 model**

**Air density variation for V90 model**

**Aerodynamic power variation as a function of (Cp) for V90 model**

**Conclusion**

- From the Simulation result it can be seen that the output power is directly related to wind speed ,swept area, air density and C
_{p.} - Output power mainly affected by the swept area.
- Output power of same wind turbine varies due to change in air density but it has a small effect.
- Output power is a function C
_{p} - C
_{p }is a function of blade angle & tip speed ratio. - C
_{p }is maximum when blade angle is minimum.

**Submitted BY**

**SHARMIN SHAMS FERDAUSI and JAHAN ARA ARJU**

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