When the synchronous reluctance motor runs without position sensor control, there is a strong coupling nonlinear problem of quadrature axis inductance, which affects the precision of rotor position detection and cannot ensure the stability of the motor at low speed range. Control in the low speed range of the motor, a sensorless control method of double high-frequency injection based on static axis torque ripple suppression is proposed. By establishing a nonlinear function model of flux and current of the quadrature axis, the angle error caused by the cross-coupling of the inductance of the quadrature axis is reduced. The high frequency signal is injected into the d-q axis at the same time to reduce the high frequency torque ripple contained in the high frequency amplitude in the traditional high frequency injection, and the rotor position estimation accuracy and the transient performance of the motor are improved. Finally, the effectiveness of the control scheme is verified by experiments on a 1.5 kW synchronous reluctance motor pair drag and load experimental platform.