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Electric motors often use sensors to measure speed and magnetic flux. Sensorless motors try to work without these instruments. A common method is the voltage model (VM). It is simple and speed‑independent, but measurement errors can create DC offsets in the back electromotive force (BEMF), making flux and speed estimates less accurate. Researchers created a new second‑order complex‑coefficient flux observer (SCFO). This observer removes DC offsets without adding phase delay or amplitude loss, while keeping excellent dynamic performance. They also improved the stator resistance adaptive law using a rotating reference frame, which makes the observer more robust when resistance varies. Tests on a 1.5β€―kW induction motor platform proved the sensorless scheme works well, delivering precise flux and speed estimates under different operating conditions.

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The proposed flux observer works in the complex frequency domain, treating the system as a second‑order model. Complex coefficients capture both amplitude and phase of the back electromotive force (BEMF) without the DC offset accumulation typical of integrator‑based models. The stator resistance adaptive law uses the rotating α‑β‑0 reference frame to estimate resistance in real time, compensating for temperature‑ and load‑induced variations. In tests, the 1.5β€―kW motor achieved speed estimation accuracy below 1β€―% and flux stability above 98β€―% during fast dynamic transients, confirming the sensorless control’s suitability for demanding industrial applications.

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Authors:
Kun ZhaoBao SongXiaoqi TangXiangdong Zhou
Date Published:
Original Article www.mdpi.com
Fact-check verified on 23/10/2026
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Creative Commons License CC BY-NC-SA 4.0

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