The laser frequency stabilization is one of the most important key technologies for the interferometer measurement system of space gravitational waves detection. As a proposed frequency stabilization technique, the scheme of arm-locking is to convert the stability of interferometer arm-length into the stability of laser frequency. Some numerical simulations of arm-locking for Taiji mission were investigated in the paper. Meanwhile, an innovative controller consisted of a compensation filter and two-stage integrators in parallel was presented to suppress the laser frequency noise without increasing gain and prevent the high gain from suppressing the gravitational waves signal. The single arm-locking simulation results showed that the laser noise of closed loop was lower than 3.19 μm/√Hz@10 mHz only in the frequency range of 0.1 mHz – 0.03 Hz. But the dual arm-locking simulation results showed that the laser noise of closed loop was lower than 3.19 μm/√Hz@10 mHz in the full frequency range of 0.1 mHz – 1 Hz, meeting the requirement of Taiji mission. Preliminary results represented the feasibility and effectiveness of arm-locking on laser frequency stabilization for the Taiji mission.

激光稳频是空间引力波探测干涉仪测量系统最重要的关键技术之一。作为一种提出的稳频技术，锁臂方案是将干涉仪臂长的稳定性转化为激光频率的稳定性。研究了太极任务中手臂锁定的一些数值模拟。同时，提出了一种由补偿滤波器和两级积分器并联组成的创新控制器，在不增加增益的情况下抑制激光频率噪声，防止高增益抑制引力波信号。单臂锁定仿真结果表明，闭环激光噪声仅在0.1 mHz – 0.03 Hz的频率范围内低于3.19 μm/√Hz@10 mHz。但双臂锁定仿真结果表明，在0.1 mHz-1 Hz全频范围内，闭环激光噪声低于3.19 μm/√Hz@10 mHz，满足太极任务要求。初步结果证明了手臂锁定对太极任务激光稳频的可行性和有效性。