In the conceptual design phase of earth observation satellite, a mathematical model aimed at realizing optimal aggregative indicators of satellite coverage breadth and ground resolution is built to improve satellite's performance and design efficiency for optimization. A detailed multidisciplinary design optimization(MDO) analysis model is set up by considering the design variable and constraints of five sub-systems:orbit, control, payload, power and structure. Meanwhile, the existing coupling relationship is teased out and the fixed-point iteration method is employed for multidisciplinary analysis(MDA). In order to solve optimization problem with constraints, a constrained efficient global optimization method integrated with an adaptive penalty function is proposed. The optimization strategy is validated by using two benchmark engineering optimization test problems. Compared with genetic algorithm(GA) and constraint importance mode pursuing sampling(CiMPS) metamodel method, constraint efficient global optimization(C-EGO) can efficiently obtain the optimal design scheme to satisfy complex constraints. At last, the optimization problem of earth observation satellite is optimized by C-EGO, and compared with GA and CiMPS, C-EGO exhibits obvious efficiency merit. The results show that C-EGO can efficiently solve earth observation satellite MDO problem. The proposed satellite MDO models and efficient C-EGO method provide valuable references for satellite MDO study. *
[1] 郭忠全. 多学科设计优化方法在卫星总体设计中的应用研究[D]. 长沙:国防科学技术大学, 2005. GUO Zhongquan. Multidisciplinary design optimization methods in the application of satellite overall design[D]. Changsha:National Defense Science and Technology University, 2005.
[2] 谭春林, 庞宝君, 张凌燕, 等. 对地观测卫星总体参数多学科优化[J]. 北京航空航天大学学报, 2008, 34(5):529-532. TAN Chunlin, PANG Baojun, ZHANG Linyan, et al.Multidisciplinary optimization in Earth observation satellite main parameters[J]. Journal of Beijing University of Aeronautics and Astronautics, 2008, 34(5):529-532.
[3] 黄海, 谭春林, 裴晓强. 卫星总体参数多学科优化与建模探讨[J]. 航天器工程, 2007, 16(3):38-42. HUANG Hai, TAN Chunlin, PEI Xiaoqiang. Discussion on modeling and multidisciplinary design op-timization for the satellite system parameters[J]. Spacecraft Engineering, 2007, 16(3):38-42.
[4] 吴蓓蓓,黄海,吴文瑞. 带子星航天器总体参数多学科设计优化[J]. 航空学报, 2011, 32(4):628-635. WU Beibei, HUANG Hai, WU Wenrui. Mutidisciplinary design optimization of main parameters of spacecraft with sub-vehicles[J]. Acta Aeronautics et Astronautica Sinica, 2011, 32(4):628-635.
[5] 吴蓓蓓,黄海,陈珅艳,等. 使用解析目标分流策略的海洋卫星多学科优化[J]. 宇航学报, 2013, 34(1):9-16. WU Beibei, HUANG Hai, CHEN Kunyan, et al. Multi-disciplinary design optimization of ocean satellites based on analytical target cascading strategy[J]. Journal of Astronautics, 2013, 34(1):9-16.
[6] HUANG Hai, AN Haichao, WU Wenrui, et al. Mul-tidisciplinary design modeling and optimization for satellite with maneuver capability[J]. Structural and Multidisciplinary Optimization, 2014, 50(5):883-898.
[7] 姚雯, 陈小前, 赵勇. 基于不确定性MDO的卫星总体优化设计研究[J]. 宇航学报, 2009, 30(5):1808-1815. YAO Wen, CHEN Xiaoqian, ZHAO Yong. Research on satellite system design based on uncertainty multidisciplinary design optimization[J]. Journal of Astronautics, 2009, 30(5):1808-1815.
[8] JONES D R, SCHONLAU M, WELCH W J. Effi-cient global optimization of expensive black-box functions[J]. Journal of Global Optimization, 1998, 13(4):455-492.
[9] WANG G G, DONG Z M, AITCHISON P. Adaptive response surface method - A global optimization scheme for approximation-based design problems[J]. Engineering Optimization, 2001, 33(6):707-733.
[10] SHARIF B,WANG G G, ELMEKKAWY T Y. Mode pursuing sampling method for discrete variable opti-mization on expensive black-box functions.[J] Journal of Mechanical Design, 2008, 130(2):021402.
[11] 彭磊, 刘莉, 龙腾. 基于动态径向基函数代理模型优化策略[J]. 机械工程学报, 2011, 47(7):164-170. PENG Lei, LIU Li, LONG Teng. Optimization strategy using dynamic radial basis function metamodel[J]. Journal of Mechanical Engineering, 2011, 47(7):164-170.
[12] LONG Teng, WU Di, GUO Xiaosong, et al. Efficient adaptive response surface method using intelligent space exploration strategy[J]. Structural and Multidisciplinary Optimization, 2015, 51(6):1335-1362.
[13] 龙腾, 刘建, WANG G G, 等. 基于计算实验设计与代理模型的飞行器近似优化策略探讨[J]. 机械工程学报, 2016, 52(14):79-105. LONG Teng, LIU Jian, WANG G. G, et al. Discuss on approximate optimization strategies using design of computer experiments and metamodels for flight vehicle design[J]. Journal of Mechanical Engineering, 2016, 52(14):79-105.
[14] 吴蓓蓓. 航天器总体多学科设计建模与优化技术研究[D]. 北京:北京航空航天大学, 2013. WU Beibei. Research of the spacecraft overall multidisciplinary design modeling and optimization technology[D]. Beijing:Beihang University, 2013.
[15] 王永谦. 太阳同步轨道的太阳相对于轨道面入射角的计算方法[J]. 航天器工程,1995,4(4):65-73. WANG Yongqian. Calculation method of the incident angle of the sun relative to the orbit of the sun synchronous orbit[J]. Spacecraft Engineering, 1995, 4(4):65-73.
[16] 郗晓宁, 王威. 近地航天器轨道基础[M]. 长沙:国防科技大学出版社, 2003. XI Xiaoning, WANG Wei. Fundamentals of near-earth spacecraft orbit[M]. Changsha:National University of Defense Technology Press, 2003.
[17] LARSON W J, WERTZ J R. Space mission analysis and design[M]. California:Microcosm Press, 1992.
[18] 吴美蓉. 中巴地球资源卫星应用及其发展[J]. 测绘科学, 2000, 25(2):25-29. WU Meirong. Application and development of China-Brazil earth resource satellite[J]. Science of Surveying and Mapping, 2000, 25(2):25-29.
[19] 陈宜元. 中巴地球资源卫星[J]. 中国工程科学, 2001,3(3):9-15. CHEN Yiyuan. China-Brazil earth resources satellite[J]. Engineering Science, 2001, 3(3):9-15.
[20] 周军. 航天器控制原理[M]. 西安:西北工业大学出版社, 2001. ZHOU Jun. Spacecraft control[M]. Xi'an:Northwestern Polytechnical University Press, 2001.
[21] 鄢婉娟. 太阳同步轨道卫星电源系统设计计算方法研究[J]. 中国空间科学技术, 2001(2):19-25. YAN Wanjuan. Research of sun synchronization orbit satellite power system design computation method[J]. Chinese Space Science and Technology, 2001(2):19-25.
[22] WU Wenrui, HUANG Hai, CHEN Shenyan, et al. Satellite multidisciplinary design optimization with a high-fidelity model[J]. Journal of spacecraft and rockets, 2013, 50(2):463-466.
[23] 龙腾. 飞行器多学科设计优化方法与集成设计平台研究[D]. 北京:北京理工大学, 2009. LONG Teng. Research on methods of multidisciplinary design optimization and integrated design environment for aircrafts[D]. Beijing:Beijing Institute of Technology, 2009.
[24] ARORA J. Introduction to optimum design[M]. New York:Elsevier Academic, 2004.
[25] KAZEMI M., WANG G. G., RAHNAMAYAN S., et al. Metamodel-based optimization for problems with ex-pensive objective and constraint functions[J]. Journal of Mechanical Design, 2011, 133(1):788-796.