Equivalent dimensionality reduction method of doubly‐fed induction generator model and discrimination of Hopf bifurcation type

The strong coupling, multivariate, and nonlinear characteristics of the mathematical model a doubly-fed induction generator (DFIG) make it challenging to analyze bifurcation category DFIG. Therefore, in this study, we developed method for analyzing DFIG via topologically equivalent dimensionality reduction neighborhood values based on central manifold theorem realized discrimination Hopf type We established complex frequency domain then calculated critical open-loop gain point using root trajectory obtain relationship between bifurcation. Thereafter, performed topological equivalence theorem. Subsequently, system was determined stability index (first Lyapunov exponent) Finally, time-domain simulation used verify that four two-dimensional DFIGs generate stable limit cycle by supercritical under tuning parameter. results indicated proposed feasible effective state parameter space DFIG, which provides theoretical basis control