Randomized trial investigates chaos in wind turbines, suggesting improved converter designs and control strategies.
Key Points
The study aims to explore the connection between DC-link voltage fluctuations and instability in permanent magnet synchronous generators (PMSGs).
Developed a fourth-order nonlinear model of DC-link capacitor dynamics.
Derived critical conditions for Hopf bifurcation using Routh–Hurwitz criterion and eigenvalue analysis.
Validating chaos onset through numerical simulations, Lyapunov exponent spectra, and power spectral density analysis.
Identified critical voltage modulation thresholds at U = 7.85 and U = 16.5.
Demonstrated the system undergoes Hopf bifurcation and enters chaotic regimes beyond these thresholds, indicated by a positive maximum Lyapunov exponent.
Revealed a chain-instability mechanism: voltage imbalance leading to torque oscillation and speed instability.