Global Observability of Sensorless IPMSMs

• 成果类型: Article
• 署名作者: Li, Haomin; Nahid-Mobarakeh, Babak; Emadi, Ali
• 署名单位: McMaster University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2023.3334996
• 发表日期: 2024
• 页码: 3365-3372
• 关键词: Observability; observers; Rotors; Stators; mathematical models; Tuning; Reluctance motors; flux; interior permanent magnet synchronous motor (IPMSM); observability; observer; sensorless

摘要

We show that the pair (speed, rotor position) of interior permanent magnet synchronous motors is not globally observable, and the number of all indistinguishable pairs is at most four, an invariant independent of any parameter. This result follows as a corollary by virtue of characterizing the observability condition as a special restricted form of the injectivity of a family of polynomials via immersion. The field-oriented control (FOC), which causes the collapse of at most two indistinguishable points easy to be told apart, joins forces with the knowledge of motor/generator mode to make IPMSMs observable, leading to a simple algorithm.