
This study presents the theoretical foundations of transforming a three-phase (abc) system into stationary (αβ) and rotating (dq) reference frames and explains the advantages of these transformations in controlling permanent magnet synchronous generators (PMSG). A Park-transformation-based modeling block was developed in the Matlab/Simulink environment to analyze the conversion of stator voltages and currents into dq components and to examine their dynamic behavior in relation to the rotor angle. Simulation results demonstrate that the Park transformation significantly simplifies the mathematical model of the PMSG, enhances the effectiveness of field-oriented control (FOC) algorithms, and improves the stability of the energy conversion process. The findings are of practical importance for improving control strategies and operational performance of PMSG-based systems in renewable energy applications.
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