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Optimization of Power Coefficient of Wind Turbine Using Genetic Algorithm

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Abstract

In the design of a wind turbine, the goal is to attain the highest possible power output under specified atmospheric conditions. The optimization of power coefficient of horizontal axis wind turbine has been carried out by integration of blade element momentum method and genetic algorithm (GA). The design variables considered are wind velocity, angle of attack and tip speed ratio. The objective function is power coefficient of wind turbine. The different combination of design variables are optimized using GA and then the Power coefficient is optimized. The optimized design variables are validated with the experimental results available in the literature. By this optimization work the optimum design variables of wind turbine can be found economically than experimental work. NACA44XX series airfoils are considered for this optimization work.

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Abbreviations

\(C_{p}\) :

Power coefficient

a′:

Angular induction factor

a :

Axial induction factor

Nb :

Number of blade

C:

Chord

CL :

Coefficient of lift

CD :

Coefficient of drag

ρ:

Density of air

θ:

Inflow angle

TSR:

Tip speed ratio

AOA:

Angle of attack

v:

Wind velocity

p_size :

Population size

Nran :

Random numbers

p_mut :

Probability of mutation

rcp :

Cutting point random number

p_ cro :

Probability of crossover

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Authors and Affiliations

  1. Anna University, Tirunelveli, 627007, Tamilnadu, India

    Sappani Rajakumar

  2. National Engineering College, Kovilpatti, 628503, Tamilnadu, India

    Durairaj Ravindran & Shunmugavelu Muthukumar

  3. Sree Sowdambika College of Engineering, Aruppukottai, 626134, Tamilnadu, India

    Mahalingam Sivakumar

  4. VIT University, Vellore, 632014, Tamilnadu, India

    Gopalan Venkatachalam

Authors
  1. Sappani Rajakumar
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  2. Durairaj Ravindran
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  3. Mahalingam Sivakumar
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  4. Gopalan Venkatachalam
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  5. Shunmugavelu Muthukumar
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Correspondence to Sappani Rajakumar.

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Rajakumar, S., Ravindran, D., Sivakumar, M. et al. Optimization of Power Coefficient of Wind Turbine Using Genetic Algorithm. J. Inst. Eng. India Ser. C 98, 111–118 (2017). https://doi.org/10.1007/s40032-016-0323-0

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  • DOI: https://doi.org/10.1007/s40032-016-0323-0

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