中国空间科学技术 ›› 2016, Vol. 36 ›› Issue (1): 18-25.doi: 10.3780/j.issn.1000-758X.2016.0006

• 研究探讨 • 上一篇    下一篇

基于高斯伪谱法的化-电混合推进系统转移轨道优化设计

杨博1,*,陈子匀1,温正2,苗峻1   

  1. 1北京航空航天大学宇航学院,北京100091
    2中国空间技术研究院通信卫星事业部,北京100094
  • 收稿日期:2015-11-12 修回日期:2015-12-08 出版日期:2016-02-25 发布日期:2016-02-24
  • 作者简介:陈子匀(1988-),男,硕士研究生,chenziyun@163.com *杨博(1963-),女,副教授,研究方向为飞行器自主导航技术、深空探测自主导航与制导技术、可重复运载器GNC关键技术
  • 基金资助:

    国家重点项目基金(91016004)

Optimal design of orbital transfer with chemical-electric hybrid propulsion system based on a new Gauss pseudospectral method

 YANG  Bo1,*,CHEN  Zi-Yun1,WEN  Zheng2,MIAO  Jun1   

  1. 1School of Astronautics, Beihang University,Beijing 100191,China
    2Institute of Telecommunication Satellite,China Academy of Space Technology, Beijing 100094,China
  • Received:2015-11-12 Revised:2015-12-08 Published:2016-02-25 Online:2016-02-24

摘要: 提出利用化-电混合模式推进系统完成地球同步卫星轨道转移任务,该推进系统极具应用前景,能够满足高有效载荷率、高入轨精度的工程实践需求。并针对基于该混合模式推进系统的转移轨道的优化方法展开研究,提出一种多阶段最优控制问题(OCP)的高斯伪谱法求解方法。该方法通过分段点的关联设置,将多个经高斯伪谱法转化而来的非线性规划问题转化为一个连贯的非线性规划问题(NLP)。两个不同算例的仿真过程与分析结果表明,该方法能够有效地解决多阶段非光滑连接轨道的优化问题,具有运算效率高、收敛性半径大、求解精度高等优点,可便捷地处理化电混合模式推进系统的转移轨道优化设计问题。

关键词: 电推进, 混合模式, 多阶段, 同步轨道, 高斯伪谱法

Abstract: A kind of chemicalelectric hybrid mode propulsion system was proposed for the orbit transfer mission of GEO satellite. This propulsion system has a good application prospect and can fit much of the engineering demands,such as high-degree payloads and high-accuracy orbit insertion.The research on the optimization methods of the transfer orbit based on the hybrid mode propulsion system was carried out. A new Gauss pseudospectral method to solve the multi phase optimum control problem was proposed,which transformed the multiple nonlinear programming problems transformed by Gauss pseudospectral method to one by setting up the linkage of the breaking points. Two simulation examples indicate that this method can effectively solve the optimization problem of the multi-phase non-smooth orbit. It has the advantages of high operation efficiency, big convergence radius and high solving accuracy, and can conveniently and fast process the optimization design of the transfer orbit based on the hybrid mode propulsion system.

Key words: electricpropulsion, hybrid mode, multi phase, geosynchronous orbit, Gauss pseudospectral method