空间太阳能电站太阳能接收器二维展开过程的保结构分析

针对传统数值方法求解微分-代数方程过程中经常遇到的违约问题,本文以空间太阳能电站太阳能接收器的简化二维模型为例,采用辛算法模拟了简化模型的展开过程,研究了辛算法在求解过程中约束违约问题.首先,基于Hamilton变分原理,将描述简化二维模型展开过程的Euler-Lagrange方程导入Hamilton体系,建立其Hamilton正则方程;随后,采用s级PRK离散方法离散正则方程,得到其辛格式;最后,采用辛PRK格式模拟太阳能接收器的二维展开过程.模拟结果显示:本文构造的辛PRK格式能够很好地满足系统的位移约束.

Structure-preserving analysis of 2D deploying process for solar power receiver of solar power satellite

The constraints default phenomenon is a serious problem in solving the I type Lagrange equation with traditional numerical method. For the simplified 2D model of the solar power receiver of Solar Power Satellite (SPS), the symplectic method is used to analyze the deploying process of the solar power receiver and the constraints default is discussed in this paper. Firstly, based on the Hamilton variational principle, the canonical equation is derived from the Euler Lagrange equation that describe the deploying process of the solar power receiver. And then, the symplectic PRK scheme for the canonical equation is constructed. Finally, the deploying process of the solar power receiver is simulated by the symplectic PRK scheme. From the simulation results, it can be concluded that the symplectic PRK scheme constructed in this paper can satisfy the displacement constraint of the 2D system well for a long time.