中国空间科学技术

中国空间科学技术 ›› 2018, Vol. 38 ›› Issue (4): 27-35.doi: 10.16708/j.cnki.1000-758X.2018.0046

• 研究探讨 • 上一篇    下一篇

基于差分进化算法的导航星座在轨重构构型设计

赵双1，张雅声2,*，戴桦宇1   

  1. 1. 航天工程大学研究生管理大队，北京 101416
    2. 航天工程大学航天装备系，北京 101416
  • 收稿日期:2017-12-20 修回日期:2018-01-08 接受日期:2018-05-15 出版日期:2018-08-25 发布日期:2018-06-04
  • 作者简介:赵双（1991-），男，硕士研究生，1767436838@qq.com，研究方向为航天任务分析与设计

Orbit reconstruction configuration of navigation constellation based on differentialevolutionalgorithm

ZHAO Shuang１, ZHANG Yasheng２,∗ , DAI Huayu1   

  1. 1. Department of Graduate Management, Space Engineering University, Beijing 101416, China
    2. Department of Space Equipment ,Space Engineering University, Beijing 101416, China
  • Received:2017-12-20 Revised:2018-01-08 Accepted:2018-05-15 Published:2018-08-25 Online:2018-06-04
  • About author:张雅声（1974-），女，教授，13521219203@139.com，研究方向为航天任务分析与设计

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摘要： 针对有卫星失效下的导航星座，提出了对在轨卫星进行相位机动的方法来对星座的空间构型进行重构，以实现修复和改善星座性能的目的。首先，利用共面高轨和共面低轨变相的方式来对在轨卫星的相位进行调整，建立共面轨道相位机动的数学模型；其次，提出了除重构时间和重构能量外的其他重构指标，包括重构能量均衡度和重构构型恢复性，并建立了各重构指标的数学模型；然后，建立了重构构型的优化模型，并对优化问题中个体的评价手段与编码方式进行设计；最后，以北斗中MEO卫星失效为例，利用差分进化算法对优化模型进行求解，得到以不同重构指标为目标函数下的Pareto前沿。从结果中可以看出该重构方法对星座性能的提升最大可以达到41.2%，同时Pareto前沿中对应的所有重构策略中，重构能量、重构构型的均衡度、重构构型的健壮性的数量级均维持在-1、-3和0的水平。

关键词: 构型重构, 相位机动, 重构指标, 差分进化算法, Pareto前沿, 卫星星座

Abstract:

Aiming at the navigation constellation with satellite failure, a method of phase maneuvering on satellites in orbit is proposed to reconstruct the space configuration of the constellation in order to achieve the purpose of improving and recovering the constellation performance. Firstly, the phase of on-orbit satellites was adjusted by the method of phase maneuver of coplanar high orbit and coplanar low orbit, and the mathematical model of phase maneuver of coplanar orbit was set up; secondly, other reconstruction indexes besides reconstruction time and reconstruction energy were proposed, including the balance of reconstruction energy and the robustness of reconstruction configuration, and the mathematical model of each reconstruction index was established; then, an optimization model of the reconstruction configuration was established, and the evaluation method and coding method of the individual in the optimization problem were designed; finally, taking the failure of MEO satellite in Beidou as an example, the differential evolution algorithm is used to solve the optimization model, and the Pareto fronts with different reconstruction indexes as objective functions are obtained. It can be seen from the results that this reconstruction method can improve the constellation performance up to 41.2%, and in all reconstruction strategies corresponding to the Pareto front, the orders of magnitude of reconstruction energy, the balance of reconstruction energy and the robustness of reconstruction configuration were maintained at -1, -3 and the level of 0.

Key words: configuration reconstruction, phase maneuver, reconfiguration index, differential evolution algorithm, Pareto front, satellite constellation