In order to realize sensorless control for brushless doubly-fed induction machine (BDFIM), this paper presents a model reference adaptive system (MRAS) observer, designed based on the error of the control winding current. Furthermore, a phase-locked loop (PLL) is employed to estimate the current winding position and rotor speed. Consequently, a detailed theoretical derivation proves that the MRAS observer is stable and the dynamic performance is good. Thus, it does not cause any estimated speed error in steady state. Moreover, the estimated position error is bounded and trivial, thus its effects on the sensorless control of the BDFIM are neglected. The correctness, feasibility, and robustness of the proposed sensorless control method are verified by means of experimental validation on a 30kW test rig. Index Terms-Brushless doubly-fed induction machines, model reference adaptive system observer, sensorless control, angular velocity control. NOMENCLATURE v, i, ψ Voltage, current and flux R, L Resistance and self-inductance Lhp Coupling inductance between power winding (PW) and rotor Lhc Coupling inductance between control winding (CW) and rotor τe, τL Electromagnetic torque and load torque P Number of pole pairs ωr Rotor mechanical angular speed ωp Electrical angular speed of the grid θr, θp Angular positions of rotor and PW flux frame