Study on stability and rotating speed stable region of magnetically suspended rigid rotors using extended Nyquist criterion and gain-stable region theory
| Autor: | Jingbo Wei, Kun Liu, Gianmarco Radice |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
0209 industrial biotechnology
Engineering business.industry Stability criterion Region theory Applied Mathematics 020208 electrical & electronic engineering 02 engineering and technology Transfer function Computer Science Applications 020901 industrial engineering & automation Control and Systems Engineering Control theory Deflection (engineering) Nyquist stability criterion 0202 electrical engineering electronic engineering information engineering Nyquist curve Circle criterion Electrical and Electronic Engineering Absolute stability business Instrumentation |
| Zdroj: | ISA Transactions. 66:154-163 |
| ISSN: | 0019-0578 |
| DOI: | 10.1016/j.isatra.2016.10.001 |
| Popis: | This paper presents a novel and simple method to analyze the absolute stability and the rotor speed stable region of a magnetically suspended rotor (MSR). At the beginning of the paper, a complex variable is introduced to describe the movement of the MSR and a complex coefficient transfer function is obtained accordingly. The equivalent stability relationship between this new variable and the two traditional deflection angles is also demonstrated in a simple way. The detailed characteristics of the open-loop MSR system with time delay are studied carefully based on the characteristics of its Nyquist curve. A sufficient and necessary condition of absolute stability is then deduced by using an extended complex Nyquist stability criterion for MSRs. Based on the relationship between the rotor speed and gain-stable region proposed in this paper, the rotor speed stable region can be solved simply and directly. The usefulness and effectiveness of the proposed approaches are validated by examples and simulations. |
| Databáze: | OpenAIRE |
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