中文摘要：

为提高电控陀螺罗经的使用性能，根据罗经力矩方程解析出主轴运动方程，建立罗经主轴运动仿真模型，仿真研究力矩系数、启动初始条件与罗经稳定精度、阻尼运动周期及稳定时间的关系。仿真结果表明：随着纬度升高，罗经的稳定精度下降，稳定时间显著延长；但通过同步放大2倍找北力矩和阻尼力矩系数，在保持稳定精度不变的同时，约缩短稳定时间30％；初始方位角和高度角并不影响罗经的稳定精度和阻尼周期，主要影响稳定时间，且初始高度角对稳定时间的影响更加显著。启动罗经时，应先调整陀螺仪主轴至水平位置；主轴水平后，随着初始方位角的减小，稳定时间能缩短50％以上。此外，为电控罗经设计力矩系数自适应调整机构和初始高度角、方位角调整机构，可灵活提高罗经的稳定性，按照先水平后找北的流程启动罗经能有效缩短罗经稳定时间。

英文摘要：

The simulation model is set up based on the motion equations of the spinning axis of the gyroscope with Simulink. The investigation is focused on the relation among the moment coefficients, the initial conditions and the key performances, such as static accuracy, damped oscillation period and settling time. The simulation results show that as the latitude goes up the settling time and the static error increase, but the performance can be improved by adjusting the moment coeffi- cients. Doubling the moment coefficients will shorten the settling time by about 30 percent while keeping the static accuracy. The simulation results also show that initial azimuth and elevation of the spinning axis of gyroscope do not affect the static accuracy and oscillation period, but do effect the settling time. Compared to the azimuth angle, the elevation angle shows more effect on the settling time. The settling time can be reduced more than 50 percent if the axis of gyroscope is appropriately leveled. It is strongly recommend that the axis of gyroscope should be leveled first before oriented to north when starting up an electrically torqued gyrocompass. Further, the starting up process of an electrically torqued gyrocompass can be significantly improved if moment coefficient self-adjusting unit and initial orientation adjusting unit are designed.