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Reference frames are needed for following purposes:
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- for creating a CAD model of the wing (or the wings)
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- for defining the apparent wind speed vector $v_a$
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- for calculating the lift and drag and side force coefficients
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- for calculating the resulting forces and moments
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### CAD reference frame (CAD)
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A geometric model is always created using the CAD reference frame.
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It can have any origin (with respect to the kite), but usually either the center of gravity of the body or the bridle point/ Kite Control Unit is used.
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- Y defined spanwise, looking at the kite from the front (so seeing the LE first) the front left is positive.
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- X is defined chord wise, from LE to TE, positive.
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- Z is defined as positive upwards.
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### Kite Body reference frame (KB)
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This is a body-fixed reference frame.
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- Y defined spanwise, looking at the kite from the front (so seeing the LE first) the front left is positive.
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- X is defined chord wise, from LE to TE, positive.
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- Z is defined as the cross product of Y and X
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The origin of the kite reference frame can be defined by the user by calling the function `init_kb(origin::MVec3)` where the origin must be defined in the `CAD` reference frame.
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This reference frame is different from the kite reference frame **K** used in `KiteModels.jl` and `KiteUtils.jl`.
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## The turn rates
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The turn rates $\mathrm{omega} = [\mathrm{omega_x}, \mathrm{omega_y} ,\mathrm{omega_z}]$ are defined in the **KB** reference frame. The unit of the components is $\mathrm{rad}~\mathrm{s^{-1}}$.
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## Input and output
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- when running a simulation, the turnrate of the kite must be provided on each time step
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- the apparent wind speed vector `v_a` is defined in the **KB** reference frame
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- the resulting forces are defined in the **KB** reference frame
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- the **CL**, **CD**, **CS** and the resulting moments and moment coefficients are defined in the **KB** reference frame
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