基于能量最优解析解的飞轮磁卸载方法

为改善传统卫星飞轮磁卸载,提出了一种基于能量最优解析解的磁卸载法。根据在轨卫星所处地磁场强度的变化规律,将卫星磁力矩器产生的磁矩作傅里叶级数展开,按卫星飞行一圈所需卸载的角动量由最优控制理论求出三轴磁矩的解析解。证明了该卸载法的稳定性,估算了干扰力矩及其作用,讨论了轨道倾角的影响,并给出了小倾角时的修正飞轮卸载控制律。理论分析和仿真结果表明,该飞轮卸载法简单且节能,效果明显优于传统的磁卸载法。

Momentum Magnetic Unloading Basing on Analytic Equation of Energy Optimization

A momentum magnetic unloading based on analytic equation of energy optimization was put forward to improve the traditional flywheel magnetic unloading in this paper.The magnetic dipoles produced by magnetorquer was expanded in Fourier series according to the dynamic characteristics of geomagnetic intensity in orbit.The analytic result was acquired using the theory of optimal control in accordance with the unloaded momentum needed in one orbit flying for satellite. The stability of the method was proved.The interference torque and its effectiveness were estimated.The influence of orbit inclination was discussed,and the modified magnetic unloading control law was given when the inclination was rather small.The theoretical analysis and simulation results showed that the new control method was simple and little energy consumption,which was much better than the traditional one.