This paper describes a new scheme to find the rotor flux angle from stator voltages and currents by injecting high-frequency signal. The signal is not a rotating one, but a fluctuating one at a synchronous rotating reference frame with the fundamental stator frequency. When the estimated rotor flux angle coincides with the actual angle, the proposed method makes virtually no ripple torque, no vibration, and less audible noise caused by the injected signal. The difference of impedances between the flux axis and the quadrature axis at highfrequency signal injection on the rotor flux angle is explained by the equivalent circuit equation of the induction machine. The difference is verified by experiments on the test motors at various testing conditions. The sensorless field-orientation algorithm is proposed, and the experimental results clarify the satisfactory operation of the algorithm with 150% load torque at zero stator frequency.