基于人工蜂群算法的飞机进场飞行航迹优化
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摘要
基于飞机进场航迹模型、汇聚点所需到达时间(RTA)约束模型,以飞机油耗和全球增温潜势为优化目标,构建多目标优化模型。引入交叉操作和衰减因子对人工蜂群(ABC)算法进行改进,实现模型的智能求解。以A330飞机为例进行计算分析,结果表明,改进的ABC算法能满足RTA约束下的进场航迹优化需求,邻域搜索次数限制、优化子目标的权重、RTA窗口大小对优化结果有重要影响。
Based on the aircraft arrival trajectory model and Required Time of Arrival(RTA) constrained model at the merge point,the multi-objective optimization model is established with the optimization goal of fuel consumption and the Global Warming Potential(GWP).The Artificial Bee Colony(ABC) algorithm is improved by introducing crossover operation and attenuation factor,and the intelligent solution of the model is realized.The A330 aircraft is taken as an example for calculation and analysis.The results show that the improved ABC algorithm can meet the needs of the arrival trajectory optimization under the constraint of RTA.The number of neighborhood search times,the weight of the optimized sub-objectives and the size of the RTA window all have an important effect on the optimization results.
Based on the aircraft arrival trajectory model and Required Time of Arrival(RTA) constrained model at the merge point,the multi-objective optimization model is established with the optimization goal of fuel consumption and the Global Warming Potential(GWP).The Artificial Bee Colony(ABC) algorithm is improved by introducing crossover operation and attenuation factor,and the intelligent solution of the model is realized.The A330 aircraft is taken as an example for calculation and analysis.The results show that the improved ABC algorithm can meet the needs of the arrival trajectory optimization under the constraint of RTA.The number of neighborhood search times,the weight of the optimized sub-objectives and the size of the RTA window all have an important effect on the optimization results.
引文
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[3] GARCíA-HERAS J,SOLER M,SáEZ F J.A comparison of optimal control methods for minimum fuel cruise at constant altitude and course with fixed arrival time[J].Procedia Engineering,2014,80:231-244.
[4] GARCíA-HERAS J,SOLER M,SáEZ F J.Collocation methods to minimum-fuel trajectory problems with required time of arrival in ATM[J].Journal of Aerospace Information System,2016,13(7):243-264.
[5] SANG G P,JOHN P C.Optimal control based vertical trajectory determination for continuous descent arrival procedures[J].Journal of Aircraft,2015,52(5):1469-1480.
[6] PATRóN R S F,BOTEZ R M.Flight trajectory optimization through genetic algorithms for lateral and vertical integrated navigation[J].Journal of Aerospace Information Systems,2015,49(2):73-74.
[7] 刘杰,张军峰,朱海波,等.基于计划到达时刻的四维航迹规划[J].航空计算技术,2016,46(4):44-47.
[8] COOK A,TANNER G,WILLIAMS V,et al.Dynamic cost indexing managing airline delay costs[J].Journal of Air Transport Management,2010,15(1):26-35.
[9] KOLLMUSS A,CRIMMINS A M.Carbon offsetting and air travel part2:Non-CO2 emissions calculations[EB/OL].[2018-06-01].http://sustainavia.com/documents/papers/ SEI_Air_Travel_Emissions_Paper2_June_09.pdf.
[10] SRIDHAR B,NG H K AND CHEN N Y.Integration of linear dynamic emission and climate models with air traffic simulations[C]//Proceedings of AIAA Guidence,Navigation,and Control Conference.Reston,USA:American Institute of Aeronautics Astronautics,2012:13-16.
[11] 魏志强,张文秀,韩博.考虑飞机排放因素的飞机巡航性能参数优化方法[J].航空学报,2016,37(11):3485-3493.
[12] 王志刚.一种改进搜索策略的人工蜂群算法[J].计算机仿真,2014,31(10):291-295.
[13] MENDOZA A M,BOTEZ R.Vertical navigation trajectory optimization algorithm for a commercial aircraft[C]//Proceedings of AIAA/3AF Aircraft Noise and Emissions Reduction Symposium.Reston,USA:American Institute of Aeronautics Astronautics,2013:1-10.
[14] MENDOZA A M,MUGNIER P,BOTEZ R M.Vertical and horizontal flight reference trajectory optimization for a commercial aircraft[C]//Proceedings of AIAA Guidance,Navigation,and Control Conference.Reston,USA:American Institute of Aeronautics Astronautics,2017:1-7.
[15] 张洛兵,徐流沙,吴梅.基于改进人工蜂群算法的无人机实时航迹规划[J].飞行力学,2015,33(1):38-42,47.
[16] 曹璐,贾银平,张安.基于改进人工蜂群算法的多无人作战飞机协同航迹规划[J].计算机应用,2013,33(12):3596-3599,3603.
[17] 于霜,丁力,吴洪涛.基于改进人工蜂群算法的无人机的航迹规划[J].电光与控制,2017,24(1):19-23.
[18] European Organisation for the Safety of Air Navigation.User manual for the base of aircraft data,revision 3.6 [EB/OL].[2018-06-01].https://www.eurocontrol.int/sites/default/files/library/022_BADA_User_Man ual.pdf.