25
th
Iranian Conference on Electrical Engineering (ICEE20 17)
The Effect of Turbulence and Wake on the Power
Fluctuation in the Wind Farms
M. Gholami
Department of electrical engineering
Amirkabir University of Technology
Tehran, Iran
s. H. Fathi, J. Milimonfared
Department of electrical engineering
Amirkabir University of Technology
Tehran, Iran
z. Chen, F. Deng
Department of Energy
Aalborg University
Aalborg, Denmark,
Email: zch@et.aau.dk.
fde(Q)et.aau .dk
Email: mehrdad.pr@gmail.com. Email: fathi@aut.ac.ir.
monfared@aut.ac.ir
Abstract-The intermittency in wind power can face electrical
network with some challenges such as power quality, frequency
deviation and reliability of the system. So estimated power
fluctuation in wind farm has to be known in order to reach to the
grid integration requirements. In this paper the wind farm power
fluctuation is investigated by considering the three factors; wake
effect, turbulence and spatial smoothing, simultaneously. The
wake effect is investigated for the mean value and turbulence part
of the wind speed separately because of different effects of the
wake. The engineering models in fluid mechanics is used for
analyzing the wake effect and spatial smoothing. The proposed
approach is sued for a 160 MW wind farm as a case study.
Keywords- wind speed; power intermittency; spatial smoothing;
turbulence; wake effect; wind/arm.
I. INTRODUCTION
Among the renewable energies, the wind power is more
interested. There are some countries in which the wind power
constitutes up to 40 percent of the total energy. But the
intermittency in wind power can face electrical network with
some challenges such as power quality, frequency deviation and
reliability of the system [I].
The power fluctuation of wind turbine is due to intermittency
in wind speed profile. Temporal variations in wind speed may
be in the range of year, seasonal, month, day or several hours,
because of atmospheric variations such as differential heating of
the earth's surface during the daily relation cycle. In addition,
there is small time scale variations in wind because of boundary
layer conditions that includes turbulence in wind [2]. On the
other hand a wind farm includes several wind turbines, the
output powers of which are gathered to form the total farm
power. The wind speed profiles over the different locations are
not same and the correlation factor is not unit, so consequently
the power profiles for individuals wind turbine have not the
same variations. Therefor the total power of wind fann, that is
the summation of uncorrelated profiles, has less fluctuation
compared to summation of correlated profiles. This phenomena
is known as spatial smoothing i.e. the power smoothing because
978-1-5090-5963-8/17/$31.00 ©20 17 IEEE
of space distribution of wind turbines over a farm [3, 4]. In
addition to temporal variation and turbulence in wind speed,
there is another factor that affects the wind speed profile over
the wind fann. A wind turbine extracts energy from the wind and
consequently slows down the wind field behind the turbine.
Another turbine positioned in the wake of the first one will
generate less energy for a given free stream wind speed [5]. The
wake behavior is different for average wind speed and
turbulence so that there is an increment in the turbulence level
together whereas the mean wind speed is decreased in wake.
Therefore, it leads to significantly larger turbulence intensities
in comparison with free flow [6]. Therefore wake effect can
effect power fluctuation in wind fann because of changing the
turbulence level in different locations.
There are a few papers that consider short time variations in
the wind power, e.g. [7], which only analyzes the effect of
turbulence on available power of a single wind turbine. In the
present paper, not only the dynamic model of wind speed is used,
but also the wake effect on mean wind speed and the turbulence
part are analyzed and the effect of instantaneous wind profile on
the wind farm power fluctuations is investigated simultaneously.
In fact in this paper the effect of three factors; wind speed
turbulence, wake effect and spatial smoothing, on the output
power of a wind farm are investigated, simultaneously.
In section II the principles of wind and wake effect are
presented. Then in section III the wind farm power is analyzed.
In section IV the results are shown and the average wind speed
mode is compared with instantaneous mode. Finally in section
V the conclusion is presented.
II. WAKE EFFECT
In this section, first the wind speed profile is surveyed and
then the wake effect for mean and turbulence speed is analyzed
according to the engineering model in fluid mechanics.
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