# A Robust Wind Turbine Component Health Status Indicator
## 2 Materials and Methods
### The Gaussian Mixture Copula Model
\begin{table}
\begin{tabular}{c l c c} \hline \hline
**Site** & **Signal** & **Abbreviation** &
\begin{tabular}{c} **Component** \\ **(Selected = Color-Coded)** \\ \end{tabular} \\ \hline
1 & \
\begin{tabular}{c} Gearbox bearing temperature 1 \\ \end{tabular} & BT1 &
\begin{tabular}{c} Blades, Gearbox \\ \end{tabular} \\ \hline
1 & \
\begin{tabular}{c} Gearbox bearing temperature 2 \\ \end{tabular} & BT2 &
\begin{tabular}{c} Blades, Gearbox \\ \end{tabular} \\ \hline
1 & \
\begin{tabular}{c} Reactive Power \\ \end{tabular} & Q &
\begin{tabular}{c} Generator \\ \end{tabular} \\ \hline
1 & \
\begin{tabular}{c} Voltage Phase \(X_{(1,2\text{ or }3)}\) \\ \end{tabular} & Vlx &
\begin{tabular}{c} Generator \\ \end{tabular} \\ \hline
1 & \
\begin{tabular}{c} Current Intensity Phase \(X_{(1,2\text{ or }3)}\) \\ \end{tabular} & Ilx &
\begin{tabular}{c} Generator \\ \end{tabular} \\ \hline
1 & \
\begin{tabular}{c} Large generator temperature \\ \end{tabular} & GIT &
\begin{tabular}{c} Generator \\ \end{tabular} \\ \hline
1 & \
\begin{tabular}{c} Small generator temperature \\ \end{tabular} & GsT &
\begin{tabular}{c} Generator \\ \end{tabular} \\ \hline
1 & \
\begin{tabular}{c} Torque \\ \end{tabular} & M &
\begin{tabular}{c} Blades \\ \end{tabular} \\ \hline
1 & \
\begin{tabular}{c} Gearbox oil tank temperature \\ \end{tabular} & OTT &
\begin{tabular}{c} Gearbox \\ \end{tabular} \\ \hline
1 & \
\begin{tabular}{c} Ambient temperature \\ \end{tabular} & AT &
\begin{tabular}{c} Blades, Generator, Gearbox \\ \end{tabular} \\ \hline
1 & \
\begin{tabular}{c} Rotor speed \\ \end{tabular} & Rw &
\begin{tabular}{c} Blades, Generator, Gearbox \\ \end{tabular} \\ \hline
1 & \
\begin{tabular}{c} Generator speed \\ \end{tabular} & Gw &
\begin{tabular}{c} Blades, Generator, Gearbox \\ \end{tabular} \\ \hline
1 & \
\begin{tabular}{c} Power \\ \end{tabular} & Pow &
\begin{tabular}{c} Blades, Gearbox \\ \end{tabular} \\ \hline
1 & \
\begin{tabular}{c} Wind speed Average \\ \end{tabular} & V &
\begin{tabular}{c} Blades, Generator, Gearbox \\ \end{tabular} \\ \hline
1 & \
\begin{tabular}{c} Wind speed Maximum \\ \end{tabular} & Vmax &
\begin{tabular}{c} Blades \\ \end{tabular} \\ \hline
1 & \
\begin{tabular}{c} Wind speed Deviation \\ \end{tabular} & Vvar &
\begin{tabular}{c} Blades \\ \end{tabular} \\ \hline
2 & \
\begin{tabular}{c} Gearbox bearing temperature 1 \\ \end{tabular} & BT1 &
\begin{tabular}{c} Gearbox \\ \end{tabular} \\ \hline
2 & \
\begin{tabular}{c} Gearbox bearing temperature 2 \\ \end{tabular} & BT2 &
\begin{tabular}{c} Gearbox \\ \end{tabular} \\ \hline
2 & \
\begin{tabular}{c} Gearbox bearing temperature 3 \\ \end{tabular} & BT3 &
\begin{tabular}{c} Gearbox \\ \end{tabular} \\ \hline
2 & \
\begin{tabular}{c} Power \\ \end{tabular} & Pow &
\begin{tabular}{c} Gearbox \\ \end{tabular} \\ \hline
2 & \
\begin{tabular}{c} Ambient temperature \\ \end{tabular} & AT &
\begin{tabular}{c} Gearbox \\ \end{tabular} \\ \hline
2 & \
\begin{tabular}{c} Gearbox oil input pressure \\ \end{tabular} & OIP &
\begin{tabular}{c} Gearbox \\ \end{tabular} \\ \hline
2 & \
\begin{tabular}{c} Gearbox oil mechanical pressure \\ \end{tabular} & OMP &
\begin{tabular}{c} Gearbox \\ \end{tabular} \\ \hline
2 & \
\begin{tabular}{c} Gearbox oil electrical pressure \\ \end{tabular} & OEP &
\begin{tabular}{c} Gearbox \\ \end{tabular} \\ \hline
2 & \
\begin{tabular}{c} Rotor speed \\ \end{tabular} & Rw &
\begin{tabular}{c} Gearbox \\ \end{tabular} \\ \hline
2 & \
\begin{tabular}{c} Generator speed \\ \end{tabular} & Gw &
\begin{tabular}{c} Gearbox \\ \end{tabular} \\ \hline
2 & \
\begin{tabular}{c} Gearbox oil inlet temperature \\ \end{tabular} & OIT &
\begin{tabular}{c} Gearbox \\ \end{tabular} \\ \hline
2 & \
\begin{tabular}{c} Gearbox oil tank temperature \\ \end{tabular} & OTT &
\begin{tabular}{c} Gearbox \\ \end{tabular} \\ \hline
2 & \
\begin{tabular}{c} Wind speed Average \\ \end{tabular} & V &
\begin{tabular}{c} Gearbox \\ \end{tabular} \\ \hline \hline \end{tabular}
\end{table} 
Table 5: Available and Selected Variables per Component for both sites.