基于改进模拟退火的航空器起飞质量估算方法

doi:10.7527/S1000-6893.2022.28090

Abstract

Abstract:

Aircraft takeoff mass， an important parameter of aircraft performance， has significant effect on the accuracy of departure trajectory prediction. Aircraft mass is airline commercial operation data， and is difficult to obtain through public accesses. In this paper， a method for aircraft takeoff mass estimation is proposed based on historical trajectory data. Using the total energy model and considering the effect of wind， an iterative model of aircraft takeoff mass is established based on the Base of Aircraft Data（BADA） performance model. Combining the taboo table function in the taboo search algorithm and the simulated annealing algorithm， the improved algorithm is applied to solve the model efficiently. The result of a typical sample flight shows that the relative error between the estimated takeoff mass and the real mass is 2.91%. Compared with the BADA reference mass， the accuracy of trajectory prediction using estimated takeoff mass is effectively improved. Takeoff mass estimation of 15 types of aircraft and 26 724 flights is conducted. The average relative error value of the estimated mass of all flights is 3.45%. The absolute value of relative error of 97.67% of all flights is within 10%， demonstrating accurate estimation results. The proposed method for aircraft takeoff mass estimation can be applied to batch flights and can provide technical support for high-precision trajectory simulation and prediction.

Key words: air traffic management, takeoff mass estimation, BADA performance model, trajectory prediction, simulated annealing algorithm

CLC Number:

V355

Bing WANG, Runyuan ZOU, Zhening CHANG. Aircraft takeoff mass estimation method based on improved simulated annealing algorithm[J]. Acta Aeronautica et Astronautica Sinica, 2023, 44(16): 328090-328090.

Figures/Tables 12

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字段名	全称	描述
TIME	Time stamp	时间戳
PA	Pressure altitude	气压高度
IAS	Indicated air speed	表速
TAS	True air speed	真空速
Mach	Mach number	马赫数
GW	Gross weight	航空器总重
TAT	Total air temperature	总温
MH	Magnetic heading	磁航向
FF	Fuel flow	燃油流量
ROLL	Roll	滚转角
WIN_DIR	Wind direction	风向
WIN_SPD	Wind speed	风速

参数	数值	参数	数值
初始温度	100	邻域解个数	10
降温系数	0.99	最大迭代次数	1 000
终止温度	0.1	最大权重系数	0.9
禁忌表长度	［5， 11］之间的随机整数	最小权重系数	0.4

算法对比	SA	TS-SA
平均起飞质量/kg	69 872	69 257
估算质量平均相对误差/%	3.83	2.91
算法运行时间/s	20.69	13.81

高度/（10³ft）	真实航迹所需时间/s	参考质量下起飞		估算质量下起飞
高度/（10³ft）	真实航迹所需时间/s	时间/s	误差/%	时间/s	误差/%
5	154.98	125.84	18.80	138.60	10.57
10	268.64	232.53	13.44	258.47	3.79
15	462.24	406.50	12.06	446.89	3.32
20	645.65	572.65	11.31	634.43	1.74
25	866.40	750.24	13.41	837.16	3.37
30	1 075.56	948.64	11.80	1 068.95	0.61
34	1 340.12	1 166.53	12.95	1 330.71	0.70

机型	BADA参考质量/（10³kg）	总航班数	估算RE≤5%		估算RE≤10%		估算质量 MRE/%	参考质量 MRE/%
机型	BADA参考质量/（10³kg）	总航班数	航班数	航班占比/%	航班数	航班占比/%	估算质量 MRE/%	参考质量 MRE/%
A320	64	4 370	3 457	79.11	4 300	98.40	3.18	4.51
A332	190	874	697	79.75	853	97.60	3.18	11.62
A321	72	4 897	3 860	78.82	4 773	97.47	3.25	5.57
B788	189.11	267	203	76.30	263	98.50	3.31	14.92
A333	174	1 980	1 556	78.59	1 937	97.83	3.26	9.33
A388	482	132	102	77.27	130	98.48	3.26	35.37
A319	60	1 435	1 138	79.30	1 424	99.23	3.37	4.38
B738	65.3	7 194	5 261	73.13	7 010	97.44	3.47	4.31
E190	32	851	709	83.31	795	93.42	3.50	26.40
A20N	68	900	615	68.33	860	95.56	3.85	3.01
B77L	280.01	354	234	66.10	346	97.74	3.85	14.29
A21N	83	1 668	1 135	68.05	1 644	98.56	3.88	8.06
B789	201.69	414	282	68.12	406	98.07	4.08	16.67
B737	60	942	579	61.46	916	97.24	4.34	2.90
B77W	290.3	446	296	66.37	443	99.33	4.52	21.08
总计		26 724	20 124	75.30	26 100	97.67	3.45	6.90

Aircraft takeoff mass estimation method based on improved simulated annealing algorithm

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