In-Orbit Calibration of the Gravitationa Reference Sensor’s stiffness for the Taiji Mission
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摘要: 在空间引力波探测任务中,航天器内部的各种物理效应(如电路噪声、磁噪声及自引力等)会引入不可忽略的等效刚度。这种刚度与测试质量运动状态的耦合噪声直接制约着惯性传感器的精度及科学目标的探测,因此刚度在轨估计至关重要。针对这一问题,本文根据太极计划惯性传感器在卫星上的安装布局,设计了一种针对惯性传感器敏感轴向的刚度在轨标定方案。首先,建立包含刚度耦合项的动力学模型,并在无拖曳控制系统中设计并注入特定的位移激励信号,以此激发系统动力学响应,得到该激励信号与刚度耦合读出。随后,结合位移激励输入与对应的刚度耦合读出数据,应用卡尔曼滤波算法在多源噪声环境下实现对刚度的估计。仿真结果表明,在20000秒的在轨标定实验后,测试质量1和测试质量2的刚度估计相对误差分别为0.489%和0.454%。验证了所提方案在模拟真实噪声环境下的可行性。Abstract: In space-based gravitational wave detection missions, various internal physical effects within the spacecraft—such as circuit noise, magnetic noise, and self-gravity—introduce non-negligible equivalent stiffness. This stiffness couples with the test mass motion to generate acceleration noise,which directly constrains the precision of gravitational reference sensor and the achievement of scientific detection goals; therefore, stiffness estimation is of paramount importance. To address this issue, based on the installation layout of the gravitational reference sensor on the satellite for the Taiji mission, this paper proposes an in-orbit stiffness calibration scheme along the sensitive axes. First, a dynamic model incorporating stiffness coupling terms is established. Specific displacement excitation signals are then designed and injected into the drag-free control system to excite the dynamic response of the system. Subsequently, the relationship between the excitation input and the system response is analyzed, and a Kalman filter algorithm is applied to estimate the stiffness within a multi-source noise environment. Numerical simulation results demonstrate that after a 20,000 s in-orbit calibration experiment, the final relative errors of the stiffness estimation for test mass 1 and test mass 2 are 0.489% and 0.454%, respectively, thereby validating the feasibility of the proposed scheme under simulated realistic noise conditions.
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Key words:
- Taiji mission /
- gravitational reference sensor /
- stiffness calibration /
- Kalman filter
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