Mechanism analysis of chaotic motion of direct-drive permanent magnet synchronous wind turbine

Abstract

In order to study direct-drive permanent magnet synchronous wind turbine (D-PMSG), affine transformation and time transformation are used to transform it into dimensionless Lorenz chaotic model. Based on Lorenz chaotic model, The Jacobian matrix eigenvalues of equilibrium points under different inputs are analyzed, and the conditions of Hpof and stability are discussed through Lyapunov stability theory. The simulation results show that D-PMSG will produce unstable Hopf bifurcation motion while different inputs or parameters change. When the wind speed changes, the D-PMSG unit will enters the chaotic state, which seriously affects its stable operation.