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FDC help: Turbulence Group 2
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<h2>
The turbulence block <i>Turbulence Group 2</i>
</h2>
<p><i>Turbulence Group 2</i> is a Simulink subsystem which is contained in the Atmospheric
Turbulence sublibrary of the library <i><a href=
"windlib.htm">WINDLIB</a></i>. It contains the Dryden filters <i><a href=
"udryd2.htm">UDRYD2</a></i>, <i><a href="vdryd2.htm">VDRYD2</a></i>, and
<i><a href="wdryd2.htm">WDRYD2</a></i> for longitudinal, lateral and
vertical turbulence, respectively.</p>
<p> The filters have been implemented in
masked subsystem blocks, in which the user must specify the scale lengths
<i>L_u<sub>g</sub></i>, <i>L_v<sub>g</sub></i>, and <i>L_w<sub>g</sub></i>,
and the standard deviations <i>sigma_u<sub>g</sub></i>,
<i>sigma_v<sub>g</sub></i>, and <i>sigma_w<sub>g</sub></i>.</p>
<p>In <i>Turbulence Group 2</i>, the coefficients of the Dryden filters vary with the true
airspeed <i>V</i>, which enters this subsystem through an <i>Inport</i>
block. The value of the true airspeed must be obtained from the non-linear
model of the aircraft under consideration, e.g., <i>V</i> may be extracted
from the outputvector of the non-linear aircraft model <i><a href=
"beaver.htm">Beaver</a></i>, which itself uses the outputs of <i>Turbulence Group 2</i>
as input signals.</p>
<p>In many cases, the variations of <i>V</i> due to atmospheric turbulence
are not very large, so the resulting changes in filter coefficients may be
neglected. In such cases, it is recommended to use <i><a href=
"Turb1.htm">Turbulence Group 1</a></i> instead of <i>Turbulence Group 2</i>, thus eliminating the
feedback-loop of <i>V</i> from the aircraft model to <i>Turbulence Group 2</i> within
the resulting Simulink system. <i>Turbulence Group 1</i> uses the simpler Dryden
implementations <i><a href="udryd1.htm">UDRYD1</a></i>, <i><a href=
"vdryd1.htm">VDRYD1</a></i>, and <i><a href="wdryd1.htm">WDRYD1</a></i>.</p>
<h3>
Inputsignal
</h3>
<pre>
V = true airspeed [m/s]
</pre>
<h3>
Outputvector
</h3>
<pre>
uwind = [uw vw ww uwdot vwdot wwdot]'
</pre>
(Actually, this vector should have been called <code>ugust = [ug vg wg
ugdot vgdot wgdot]'</code>, since the wind velocities and their
time-derivatives from the subsystem <i>Turbulence Group 1</i> represent gust velocities
only; contributions due to <i>wind</i> (-shear) still have to be added to
this vector! See <i><a href="cwind.htm">Cwind</a></i> and <i><a href=
"blwind.htm">BLwind</a></i> for more information on the implementation of
constant wind and a wind-profile in the Earth's boundary layer,
respectively.).
<pre>
uw : wind (gust-) velocity along XB-axis of aircraft [m/s]
vw : wind (gust-) velocity along YB-axis of aircraft [m/s]
ww : wind (gust-) velocity along ZB-axis of aircraft [m/s]
uwdot: time-derivative of uw [m/s^2]
vwdot: time-derivative of vw [m/s^2]
wwdot: time-derivative of ww [m/s^2]
</pre>
<h3>
Block parameters</i>
</h3>
Before starting a simulation of a system in which the subsystem
<i>Turbulence Group 2</i> is involved, the parameters of the masked subsystem blocks
<i><a href="udryd2.htm">UDRYD2</a></i>, <i><a href=
"vdryd2.htm">VDRYD2</a></i>, and <i><a href="wdryd2.htm">WDRYD2</a></i>
have to be defined by double-clicking these blocks and entering the correct
values in their dialog-boxes. These parameters are:<br>
<br>
<i>UDRYD2</i>:
<pre>
Lug = scale length for longitudinal turbulence [m]
sigma_ug = standard deviation for longitudinal
turbulence [m/s]
</pre>
<i>VDRYD2</i>:
<pre>
Lvg = scale length for lateral turbulence [m]
sigma_vg = standard deviation for lateral turbulence [m/s]
</pre>
<i>WDRYD2</i>:
<pre>
Lwg = scale length for vertical turbulence [m]
sigma_wg = standard deviation for vertical turbulence [m/s]
</pre>
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