步進電機的振蕩、不穩(wěn)定以及控制

摘要：本文介紹了一種分析永磁步進電機不穩(wěn)定性的新穎方法。結(jié)果表明，該種電機有兩種類型的不穩(wěn)定現(xiàn)象：中頻振蕩和高頻不穩(wěn)定性。非線性分叉理論是用來說明局部不穩(wěn)定和中頻振蕩運動之間的關(guān)系。一種新型的分析介紹了被確定為高頻不穩(wěn)定性的同步損耗現(xiàn)象。在相間分界線和吸引子的概念被用于導(dǎo)出數(shù)量來評估高頻不穩(wěn)定性。通過使用這個數(shù)量就可以很容易地估計高頻供應(yīng)的穩(wěn)定性。此外，還介紹了穩(wěn)定性理論。廣義的方法給出了基于反饋理論的穩(wěn)定問題的分析。結(jié)果表明，中頻穩(wěn)定度和高頻穩(wěn)定度可以提高狀態(tài)反饋。

關(guān)鍵詞：步進電機，不穩(wěn)定，非線性，狀態(tài)反饋。


Oscillation, Instability and Control of Stepper Motors

Abstract. A novel approach to analyzing instability in permanent-magnet stepper motors is presented. It is shown that there are two kinds of unstable phenomena in this kind ofmotor: mid-frequency oscillation and high-frequency instability. Nonlinear bifurcation theory is used to illustrate the relationship between local instability and midfrequency oscillatory motion. A novel analysis is presented to analyze the loss of synchronism phenomenon, which is identified as high-frequency instability. The concepts of separatrices and attractors in phase-space are used to derive a quantity to eva luate the high-frequency instability. By using this quantity one can easily estimate the stability for high supply frequencies. Furthermore, a stabilization method is presented. A generalized approach to analyze the stabilization problem based on feedback theory is given. It is shown that the mid-frequency stability and the high-frequency stability can be improved by state feedback.

Keywords: Stepper motors, instability, nonlinearity, state feedback.