Dynamic modeling and simulation of deploying process for space solar power satellite receiver

To reveal some dynamic properties of the deploying process for the solar power satellite via an arbitrarily large phased array （SPS-ALPHA） solar receiver, the symplectic Runge-Kutta method is used to simulate the simplified model with the consideration of the Rayleigh damping effect. The system containing the Rayleigh damping can be separated and transformed into the equivalent nondamping system formally to insure the application condition of the symplectic Runge-Kutta method. First, the Lagrange equation with the Rayleigh damping governing the motion of the system is derived via the variational principle. Then, with some reasonable assumptions on the relations among the damping, mass, and stiffness matrices, the Rayleigh damping system is equivalently converted into the nondamping system formally, so that the symplectic Runge-Kutta method can be used to simulate the deploying process for the solar receiver. Finally, some numerical results of the symplectic Runge-Kutta method for the dynamic properties of the solar receiver are reported. The numerical results show that the proposed simplified model is valid for the deploying process for the SPS-ALPHA solar receiver, and the symplectic Runge-Kutta method can preserve the displacement constraints of the system well with excellent long-time numerical stability.

Distributed vibration control of a large solar power satellite

To deal with the vibration problem of the solar power satellite(SPS),the distributed vibration control approach is investigated in this paper.Taking the Multi-Rotary joints SPS as the research objective,the control unit(CU)and the location relationship matrix are rstly de ned for distributed controller design according to the con guration of SPS.The dynamic model of each CU is therefore established based on the nite element method.The dynamic model of the whole SPS structure is then developed using the CU models,and is updated along with on-orbit assembly.The distributed cooperative controller,using proportional and di erential feedback and the interaction feedback among adjacent CUs,is proposed to suppress vibration.The close-loop distributed cooperative control system is then achieved by integrating all distributed controllers,and the asymptotic stability is proofed by the Lyapunov's stability theorem.To verify the feasibility of the proposed control system,three numerical cases are nally presented.The results demonstrate that the distributed cooperative controllers can e ectively suppress vibration during on-orbit assembly and operation after assembly,and the closed-loop system has good fault tolerance.