Research Article
Shape Optimization of NREL S809 Airfoil for Wind Turbine
Blades Using a Multiobjective Genetic Algorithm
Yilei He and Ramesh K. Agarwal
Department of Mechanical Engineering and Materials Science, Washington University in St. Louis, St. Louis, MO 63130, USA
Correspondence should be addressed to Ramesh K. Agarwal; rka@wustl.edu
Received 27 February 2014; Revised 9 July 2014; Accepted 23 July 2014; Published 9 September 2014
Academic Editor: R. Ganguli
Copyright © 2014 Y. He and R. K. Agarwal. Tis is an open access article distributed under the Creative Commons Attribution
License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly
cited.
Te goal of this paper is to employ a multiobjective genetic algorithm (MOGA) to optimize the shape of a well-known wind turbine
airfoil S809 to improve its lif and drag characteristics, in particular to achieve two objectives, that is, to increase its lif and its lif
to drag ratio. Te commercially available sofware FLUENT is employed to calculate the fow feld on an adaptive structured mesh
using the Reynolds-Averaged Navier-Stokes (RANS) equations in conjunction with a two-equation − SST turbulence model. Te
results show signifcant improvement in both lif coefcient and lif to drag ratio of the optimized airfoil compared to the original
S809 airfoil. In addition, MOGA results are in close agreement with those obtained by the adjoint-based optimization technique.
1. Introduction
With recent emphasis on emission-free renewable energy,
wind energy has taken a center stage in recent years with
exponential growth in deployment of wind-turbines world-
wide. Among wind-turbines, horizontal-axis-wind-turbines
(HAWTs) are mostly deployed for power generation in
Megawatt range. It is well established that the power gen-
erated by a HAWT is a function of the number of blades,
the
/
of the blade airfoil section, and the tip speed
ratio (= rotational speed of the blade at tip/wind speed
in free stream). Tus, one of the goals of the design of a
wind turbine blade is to maximize its
/
. As a result,
there has been signifcant efort devoted in recent years to
shape optimization of wind turbine blade to achieve high
/
. In last two decades, aerodynamic shape optimization
has become an important tool in aircraf design [1–4]. Te
focus of this paper is on the aerodynamic shape optimization
of airfoil sections used in wind turbine blades since they afect
their aerodynamic performance which in turn infuences
the amount of power a wind turbine can generate [5].
In modern wind-turbines, thick airfoils such as NACA-
63XXX and NACA-64XXX are frequently used; however,
new airfoil families are increasingly being developed because
of multiple requirements of aerodynamics performance at
rated power conditions and of-rated power conditions as
well as strong structural properties [6]. National Renewable
Energy Laboratory (NREL) has developed a family of airfoils
for HAWT applications [7] since 1984.
Te present paper focuses on the optimization of most
well-known NREL airfoil, known as the S809 airfoil. Tis
airfoil is 21% thick laminar fow airfoil whose design and
experimental results are given in [8]. NREL Phase II, Phase
III, and Phase VI HAWT blades are composed of S809 airfoil
from root to tip [9]. Under class 3 to 4 wind conditions, S809
is subjected to low Mach number (almost incompressible)
fow with Reynolds numbers in the range of one to two
million. Laminar separation can occur on the suction surface
for angles of attack ranging from zero to 5.13 degrees.
Turbulent trailing edge separation occurs when angle of
attack increases [10].
Tis paper presents shape optimization of S809 airfoil
using a multiobjective genetic algorithm (MOGA). Te com-
mercially available sofware FLUENT is used for calculation
of the fow feld using the Reynolds-Averaged Navier-Stokes
(RANS) equations in conjunction with a two-equation −
SST turbulence model. Using MOGA, globally optimal S809
airfoil shape is obtained which maximizes both
and
/
for a given wind speed, rotational speed, and pitch setting.
Te results show that the aerodynamics characteristics of
Hindawi Publishing Corporation
International Journal of Aerospace Engineering
Volume 2014, Article ID 864210, 13 pages
http://dx.doi.org/10.1155/2014/864210