An approach to estimate the equivalent parameters of a wind farm with DFIGs during wind gusts based on data-driven analysis

The purpose of the study is to develop an approach based on online measurements and the theory of Ritta–Wu characteristic sets from the field of algebraic geometry and computer algebra to solve one of the main tasks of wind energy studies such “abandon wind” caused by wind gusts. The Ritt-Wu theory is effective in studying polynomial systems and their solutions. To obtain an equivalent double-fed induction generator, the following basic steps are used: build the characteristic sets by modeling a wind farm; establish the polynomial rings based on the real-time aggregation data; derive analytical expressions of a model of an equivalent double-fed induction generator; validate of the developed approach to modeling an double-fed induction generator using mathematical modeling in the PSCAD software environment and analysis of a combination of model data and telemetry data. A general solution procedure is used, which can be applied to obtain the analytical expressions of the inductance and impedance of an equivalent wind farm. The expediency and effectiveness of the developed approach is illustrated by the example of a real wind farm with a capacity of 50 MW with 34 double-fed induction generators. The simulation results demonstrate that the obtained parameters of an equivalent double-fed induction generator can accurately follow wind speed fluctuations with a lower error. Thus, this study presents a new effective method for estimating the exact equivalent parameters of a wind farm during wind gusts. The developed method is suitable for obtaining the analytical solutions of equivalent wind farm parameters in real time. Validation of the accuracy and speed of the author’s method has been carried out. Moreover, this study can be applied to any wind farms equipped with double-fed induction generators.

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