這篇文章研究了一類永磁同步電機(jī)系統(tǒng)的非線性動(dòng)力學(xué)特性。給出了該系統(tǒng)的所有平衡點(diǎn)及其穩(wěn)定性，并利用Hopf分岔定理和第一李雅普諾夫系數(shù)研究了系統(tǒng)產(chǎn)生Hopf分岔的參數(shù)條件和類型。最后利用Runge-Kutta方法對系統(tǒng)進(jìn)行數(shù)值模擬，給出了系統(tǒng)的相圖，，驗(yàn)證了理論分析的結(jié)果。得出當(dāng)c > c0時(shí)，系統(tǒng)出現(xiàn)次臨界分岔。
Nonlinear dynamic characteristics of the permanent magnet synchronous motor system are inves-tigated in this paper. All the equilibriums of the system and their stabilities are studied. Using the Hopf bifurcation theorem and the first Lyapunov coefficient, the conditions and the type of Hopf bifurcations for the system are investigated. With the Runge-Kutta method, the phase portraits of the system are given, which verify the analytical results.

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