Study on Free Flight Collision Risk Based on the Error Distribution of Three-Dimensional Position

Abstract:

This paper is aimed to evaluate the collision risk in free flight. The collision risk between aircrafts is mostly closely relates to position error, due to which the actual position of the aircraft is different from the displaying position and the former is in the vicinity of the latter. Analyzing error factors closely associated with the risk of collision, such as position error caused by CNS performance, altimeters and CDTI system, and according to the error distribution, the region of actual position of aircraft can be considered as a three-dimensional joint normal probability density ellipsoid. The two adjacent planes can be abstracted into two particles, of which one is based to determine position error ellipsoid, and the other is based to establish collision slab. A free flight collision risk model is established, then simplified by linear transformation according to the principle of relative motion. Using Monte Carlo method of mean of uniform random numbers, given initial state, the collision risk in free flight can be obtained. Numerical results demonstrate the feasibility of this model.

• Periodical: Advanced Materials Research (Volumes 1030-1032)
• Pages: 2245-2253
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.1030-1032.2245
• Online since: September 2014
• Authors: Zhao Ning Zhang*, Yu Wen Liang, Xing Wu Cao
• Keywords: Collision Risk, Collision Slab, Free Flight, Monte Carlo, Position Error

References

[1] Henk A.P. Blom, Jaroslav Krystul, G.J. (Bert) Bakker, in: A Particle System for Safety Verification of Free Flight in Air Traffic. Proceedings of the 45th IEEE Conference on Decision & Control. (2006).

DOI: 10.1109/cdc.2006.377796

[2] Mariken H.C., Everdij, Henk A.P. Blom, et al.: Simulation, Vol. 83. No. 5 (2007), p.401.

[3] Roger Shepherd, Rick Cassell, Rajeev Thapa, et al. in: A reduced aircraft separation risk assessment model. AIAA Guidance, Navigation and Control Conference (2003) : 1-16.

DOI: 10.2514/6.1997-3735

[4] Lu Tingting, Zhang Zhaoning, Liu Jimin: Aeronautical Computing Technique Vol. 40. No. 6(2010), p.25.

[5] Cai Ming, Zhang Zhaoning, WangLili: Aeronautical Computing Technique Vol. 41. No. 1(2011), p.51.

[6] Zhang Zhaoning, Zhou Peng, Liu Jianbin: Journal of Civil Aviation University of China Vol: 30. No. 3(2012), p.1.

[7] Zhang Zhaoning, Wang Yiming: China Safety Science Journal Vol. 22. No. 10(2012), p.14.

[8] Zhang Zhaoning, Zuo Jiangli: China Safety Science Journal Vol. 22. No. 8(2012), p.44.

[9] Zhang Zhaoning, Gao Junying: Science Technology and Engineering Vol. 13. No. 24(2013), p.7282.

[10] Zhang Zhaoning, Liu Zhen: Journal of Computations&Modelling Vol. 3. No. 2(2013), p.67.

[11] Zhang Zhao-ning, Zuo Jiang-li, Lu Fei: International Refereed Journal of Engineering and Science. Vol. 5. No. 2(2013), p.1.

[12] Zhang Zhaoning , Sun Chang, Zhou Peng: Journal of Computers Vol. 7. No. 10(2012), p.2488.

[13] Zhai Wenpeng, Li Yafei: China Safety Science Journal Vol. 23. No. 10(2013), p.110.

[14] Cai Ming, Zhang Zhaoning, Wang Lili: Aeronautical Computing Technique Vol. 3. No. 41(2011), p.22.

[15] Fu Yaqiang, Xu Baihua: Space Medicine& Medical Engineering Vol. 23. No. 2(2010), p.112.

[16] Gu Bo: Study on the algorithm of civil aircraft traffic collision avoidance system and simulation, submitted to Shanghai Jiao Tong University for the Degree of Master(2012).

[17] Chai Zhonglin, Yin Juncheng: COMM. ON APPL. MATH. AND COMPUT. Vol. 22. No. 1 (2008), p.125.

[18] Zhang Zhaoning, Wang Lili, LiDongbin: An introduction to the safety assessment of Flight Separation( Science Press, Beijing 2009).