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在异步电机间接矢量控制系统中，当定向转子时间常数 Tr偏离真实值时，磁场定向就会出现偏差。为此该文深入分析 Tr存在偏差时，电机磁场、转矩和电压的变化，并在此基础上从李雅普诺夫稳定理论角度推导出一个优化无功功率模型。该方法在无功功率模型中引入定子频率倒数对无功偏差进行标幺化，这使得电机在高、低速都有相近的Tr 收敛速度，同时该方法可直接应用于电机四象限运行场合。仿真和实验结果验证了该方法的有效性。“,”The error in the rotor time constantTr leads to oriented deviation in rotor flux for induction motor drive with indirect vector control. The effects ofTr error on rotor flux, electromagnetic torque and voltage were analyzed in detail. Then an optimization model of reactive power was presented based on Lyapunov stability theory. The stator frequency was introduced to the model to get per-unit value of reactive power error,thus,convergence rate ofTr was close at high speed and low speed. Moreover, this maked the estimation be available in four quadrant application. Simulation and experimental results have validated the effectiveness of the method.