Ascent trajectory optimization for stratospheric airships with thermal effects
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摘要: 针对平流层飞艇的上升轨迹优化问题,综合热力学模型进行了研究.主要分析了飞艇基本热力学行为,研究了蒙皮及内部气体的能量方程并建立了详细的飞艇动力学和运动学模型.在热力学、动力学和运动学分析的基础上,建立了以飞行时间为优化目标的平流层飞艇的轨迹优化模型.利用直接配点法将轨迹优化问题转化为非线性优化问题,再通过非线性求解器SNOPT(Sparse Nonlinear Optimizer)对不同场景的问题进行最优化轨迹求解.优化结果表明:热力学效应对优化轨迹有较大影响,在上升过程中,太阳能辐射为主要影响因素,另外风场也对换热量有一定影响.Abstract: In respect for ascent trajectory optimization of stratospheric airship, a research was conducted with the thermal effects. Basic thermal characteristics of the stratospheric airship and the energy equations about the ship film and the internal gas were introduced. Besides, the equations of motion for the airship were described in detail. To minimum the flight time, a trajectory optimization problem was constructed and then converted into a parameter optimization problem by a direct collocation method. In different scenarios, the optimal trajectories were developed by a numerical nonlinear solver, sparse nonlinear optimizer (SNOPT). It shows that the solutions are greatly affected by the thermal behaviors. Solar irradiation is the most important factor during ascent, and in addition, the natural wind also affects the thermal transfer of convection.
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Key words:
- airships /
- thermodynamics /
- trajectory optimization /
- sequential quadratic programming
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[1] Colozza A.High-altitude,long-endurance airships for coastal surveillance .NASA TM-2005-213427,2005 [2] Kreith F,Kreider J F.Numerical prediction of the performance of high altitude balloons .Note NCAR-IN/STR-65,1974 [3] Carlson L A,Horn W J.New thermal and trajectory model for high altitude balloons .AIAA 81-1926,1981 [4] Shi H,Song B,Yao Q.Thermal performance of stratospheric airships during ascent and descent [J].Journal of Thermophysics and Heat Transfer,2009,23(4):816-821 [5] Zhao Y J,Garrard W L,Mueller J.Benefits of trajectory optimization in airship flight .AIAA 2004-6527,2004 [6] Lee S,Bang H.Three-dimensional ascent trajectory optimization for stratospheric airship platforms in the jet stream [J].Journal of Guidance Control and Dynamics,2007,30(5):1341-1352 [7] Mueller J B,Zhao Y J,Garrard W L.Optimal ascent trajectories for stratospheric airships using wind energy [J].Journal of Guidance Control and Dynamics,2009,32(4):1232-1245 [8] Mueller J B,Zhao Y J,Garrard W L.Sensitivity and solar power analysis of optimal trajectories for autonomous airships .AIAA 2009-6014,2009 [9] Jones S P,de Laurier J D.Aerodynamic estimation techniques for aerostats and airships[J].Journal of Aircraft,1983,20(2):12-126 [10] Ran H R,Thomas,Maviris D.A comprehensive global model of broadband direct solar radiation for solar cell simulation .AIAA 2007-33,2007 [11] 方贤德,王伟志,李小建.平流层飞艇热仿真初步探讨 [J].航天返回与遥感,2007,28(2):5-9 Fang Xiande,Wang Weizhi,Li Xiaojian.A study of thermal simulation of stratospheric airships[J].Spacecraft Recovery and Remote Sensing,2007,28(2):5-9(in Chinese) [12] Rapert R M.A heat transfer model for a heated helium airship .Monterey,California:Naval Postgraduate School,1987 [13] Colozza A.Initial feasibility assessment of a high altitude long endurance airship .NASA CR-2003-212724,2003 [14] Hedin A E,Fleming E L,Manson A H,et al,Empirical wind model for the upper middle and lower atmosphere [J].Journal of Atmospheric and Terrestrial Physics,1996,58(13):1421-1447 [15] Betts J T.Survey of numerical methods for trajectory optimization [J].Journal of Guidance Control and Dynamics,1998,21(2):193-207 [16] 涂良辉,袁建平,岳晓奎,等.基于直接配点法的再入轨迹优化设计 [J].西北工业大学学报,2006,24(5):653-657 Tu Lianghui,Yuan Jianping,Yue Xiaokui,et al.Improving design of reentry vehicle trajectory optimization using direct collocation method [J].Journal of Northwestern Polytechnical University,2006,24(5):653-657(in Chinese) [17] Gill P E,Murray W,Saunders M A.SNOPT:an SQP algorithm for large-scale constrained optimization [J].Society for Industrial and Applied Mathematics,2005,47(1):99-131
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