## 5 Conclusions
This will not only contribute to an optimal controller, but also to the detection of faults through deeper monitoring practices, resulting in fewer maintenance interventions in wind farms. The use of intelligent sensors, signal processing systems, and the management of large amounts of data, such as vibration analysis, voltage measurement, acoustic emissions, and atmospheric measurements, can facilitate informed, reliable, cost-effective, and robust decisions in wind turbine management. Conceptualization, E.C.-N. and J.C.J.-C.; methodology, E.C.-N.; system control, E.C.-N. and R.V.C.-S.; experiments, E.C.-N. and R.V.C.-S.; software, R.V.C.-S. and [PERSON]; hardware, J.C.J.-C.; validation, [PERSON]-M. and [PERSON]; formal analysis, [PERSON]-P.; investigation, E.C.-N.; resources, J.C.J.-C.; data curation, [PERSON]-M. and [PERSON]-L.; discussion, M.T.-P. and [PERSON]-C.; writing--original draft preparation, E.C.-N.; writing--review and editing, [PERSON]-P. and [PERSON]-M.; visualization, E.C.-N.; supervision, J.C.J.-C.; project administration, J.C.J.-C.; funding acquisition, J.C.J.-C. All authors have read and agreed to the published version of the manuscript. **Funding:** This research received no external funding. **Institutional Review Board Statement:** Not applicable. **Informed Consent Statement:** Not applicable. **Data Availability Statement:** Not applicable. **Acknowledgments:** This work was supported by department of Research and Postgraduate of the Faculty of Engineering and Autonomous University of Queretaro. **Conflicts of Interest:** The authors declare no conflict of interest. **Abbreviations** \begin{tabular}{l l} \(A\) & sweeping area (m\({}^{2}\)) \\ \(Cp\) & power coefficient \\ \(H_{gen}\) & generator inertia constant \\ \(H_{rotor}\) & rotor inertia constant \\ \(I_{d}\) & current on d-axis (A) \\ \(I_{q}\) & current on q-axis (A) \\ \(L_{d}\) & inductance on d-axis (H) \\ \(L_{q}\) & inductance on q-axis (H) \\ \(P_{elc}\) & electric power (watts) \\ \(P_{nom}\) & nominal power (watts) \\ \(P_{p}\) & pair of poles \\ \(P_{rotor}\) & extracted power from the wind (watts) \\ \(R\) & turbine blade radius (m) \\ \(R_{d}\) & resistance of d-axis (ohm) \\ \(R_{q}\) & resistance of q-axis (ohm) \\ \(T_{rotor}\) & torque of rotor (Nm) \\ \(V\) & wind speed (m/s) \\ \(V_{d}\) & voltage of d-axis (Volts) \\ \(V_{q}\) & voltage of q-axis (Volts) \\ \(d_{rg}\) & rotor-generator damping coefficient (Nm/(rad/s)) \\ \(k_{d}\) & derivative gain \\ \(k_{gbg}\) & gearbox-generator stiffness coefficient (Nm/(rad/s)) \\ \(k_{i}\) & integral gain \\ \(k_{p}\) & proportional gain \\ \(k_{rg}\) & rotor-generator stiffness coefficient (Nm/(rad/s)) \\ \(k_{gb}\) & rotor-gearbox stiffness coefficient (Nm/(rad/s)) \\ \(j_{gen}\) & generator inertia moment (kg m\({}^{2}\)) \\ \(j_{rotor}\) & rotor inertia moment (kg m\({}^{2}\)) \\ \(n_{gb}\) & gearbox ratio \\ \(m_{r}\) & rotor mass (kg) \\ \(w_{gen}\) & generator rotation speed (rad/s) \\ \(w_{rotar}\) & rotor rotation speed (rad/s) \\ \(w_{gr}\) & reference rotation speed (rad/s) \\ \(e^{(t)}\) & error \\ \(u(t)\) & set point pitch angle \\ \(\alpha\) & experimental coefficient \\ \(\beta\) & pitch angle (\({}^{\circ}\)) \\ \(\theta_{m}\) & gearbox angular position (rad) \\ \(\lambda\) & tip speed ratio \\ \(\rho\) & wind density (kg/m\({}^{3}\)) \\ \(\varphi_{f}\) & permanent magnetic flux (Wb) \\ \end{tabular}