This paper proposes an encoderless field-oriented
control scheme for a permanent-magnet synchronous machine
(PMSM) based on the back-EMF voltage. A polar stator co-
ordinate representation is used to design a simple and robust
position and speed estimator. The angle of the rotor is directly
calculated based on stator current and voltage measurements as
well as on knowledge of stator resistance and stator inductance.
The estimated angle is filtered and used directly for current and
torque control. Furthermore, an algebraic equation to estimate
the speed is proposed. The direct estimation scheme is shown to
be robust to parametric uncertainties and easily extendable with
filters to cope with measurement noise. The estimator outputs
are driftless, even under parametric offsets and without any
feedback compensation. As advantages, there is no need to design
an asymptotic observer, the parametric robustness is improved,
there is no open-loop integration and no complicated tuning of
feedback mechanisms, and the dynamics are very good. The
scheme is validated experimentally.
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