## 6 Conclusions  
This study examines the performance of high-power wind turbines equipped with short-circuited rotor induction generators and regulated through the use of a power converter in the stator circuit under significant variations in wind speed.  
It has been demonstrated that adjusting the generator's power according to the wind speed is essential.  
Thus, the main contributions of the research can be highlighted as determining the dependences between generator power on wind speed and stator frequency and between generator frequency on wind speed, generator current, and generator power factor on wind speed. Comparative studies highlighted the captured wind energy at constant and variable wind speeds over time.  
The primary outcomes achieved in this study are as follows:  
* Deduction of mathematical models for the 55 kW turbine and the induction generator from the technical data of the turbine (power characteristics, power dependence on rotational speed).
* Analysis of the behavior of the induction generator under variable frequencies and controlled stator flux.
* Determination of wind speed dependencies for the stator frequency and current as well as the power factor in the _MPP_ operation mode of the turbine.  
Also, simulation-based analysis at variable wind speeds with constant and variable power at the generator were conducted and the harvested wind energy at these power levels for the electric generator were provided.  
The results obtained are genuinely beneficial for those who use wind energy systems and thus contribute to the existing specialized literature. Understanding and exploiting the relationship between wind speed and optimal MAS can unlock the full potential of variable-speed wind turbines and contribute to a sustainable energy future.  
Conceptualization, C.P.C. and E.S.; methodology, C.P.C. and G.-O.T.; software, C.P.C. and G.-O.T.; validation, C.P.C., G.-O.T. and E.S.; formal analysis, E.S.; investigation, C.P.C. and G.-O.T.; resources, E.S.; data curation, E.S.; writing--original draft preparation, C.P.C. and G.-O.T.; writing--review and editing, E.S.; visualization, G.-O.T. and E.S.; supervision, C.P.C.; project administration, C.P.C., G.-O.T. and E.S.; funding acquisition, C.P.C., G.-O.T. and E.S. All authors have read and agreed to the published version of the manuscript.  
The publication of this article was supported by the 2024 Development Fund of the UBB.  
Not applicable.  
The data presented in this study are available upon request from the first author.  
The authors declare no conflicts of interest. The funders had no role in the design of the study; in the collection, analyses, or interpretation of data; in the writing of the manuscript; or in the decision to publish the results.  
The following abbreviations are used in this manuscript:  
\begin{tabular}{l l} WT & wind turbine \\ _MPP_ & maximum power point \\ _MAS_ & mechanical angular speed \\ _EG_ & electric generator \\ _PID_ & proportional, integrative, derivative \\ \(V\) & wind speed \\ \(J\) & equivalent moment of inertia \\ _PWT_ & power given by _WT_ relative to the shaft of the electric generator \\ _PWT-MAX_ & maximum power value from the wind turbine \\ _PEG_ & power of the electric generator \\ _PN_ & rated power \\ _EE_ & electric energy supplied to the grid \\ _EW_ & wind energy \\ _EW-MAX_ & maxim wind energy \\ _MWT_ & moment provided by _WT_, relative to the _EG_ shaft \\ _MEG_ & electromagnetic moment at the _EG_ shaft \\ _UN_ & rated voltage \\ _US_ & stator voltage \\ _IN_ & nominal current \\ _IS_ & stator current \\ _IR_ & rotor current \\ _RS_ & stator resistance \\ _RR_ & rotor resistance \\ _Xsc_ & short-circuit reactance \\ _XR_ & rotor reactance \\ _XM_ & magnetizing reactance \\ \(N\) & number of turns per phase in the stator \\ \(N\) & number of turns per phase in the rotor \\