Research on FMC analytic algorithm of PBN track transition coding

doi:10.23919/JSEE.2023.000090

Journal of Systems Engineering and Electronics ›› 2023, Vol. 34 ›› Issue (4): 1042-1052.doi: 10.23919/JSEE.2023.000090

• • 上一篇

收稿日期:2021-09-30 出版日期:2023-08-18 发布日期:2023-08-28

Research on FMC analytic algorithm of PBN track transition coding

Guangming ZHANG(), Siqian REN(), Weiwei ZHAO(), Xiuyi LI()

¹ School of Flight Technology, Civil Aviation Flight University of China, Guanghan 618307, China

Received:2021-09-30 Online:2023-08-18 Published:2023-08-28
Contact: Guangming ZHANG E-mail:gmzhang@cafuc.edu.cn;rensiqian202107@126.com;zww@cafuc.edu.cn;lixiuyi6690@163.com
About author:
ZHANG Guangming was born in 1971. He received his master’s degree from University of Electronic Science and Technology of China in 2001. He is a professor in Civil Aviation Flight University of China. His current research interests are modern navigation technology and performance based navigation, navigation database and flight management computer. E-mail: gmzhang@cafuc.edu.cn

REN Siqian was born in 1995. She received her bachelor’s degree from Chengdu Neusoft University in 2019. She is a postgraduate student in Civil Aviation Flight University of China. Her current research interests are performance based navigation, navigation database and flight management computer. E-mail: rensiqian202107@126.com

ZHAO Weiwei was born in 1982. She received her master’s degree from Civil Aviation Flight University China in 2019. She is a lecturer in Civil Aviation Flight University of China. Her current research interests are performance based navigation and navigation database and flight simulation. E-mail: zww@cafuc.edu.cn

LI Xiuyi was born in 1972. He received his master’s degree from Southwest University of China in 2007. He is a senior pilot, professor, National Meritorious Pilot, and outstanding contribution expert of Sichuan. His current research interest is civil aviation flight technology and security. E-mail: lixiuyi6690@163.com
Supported by:
This work was supported by the National Natural Science Foundation of China (u2133209)

摘要/Abstract

Abstract:

Airborne navigation database (NavDB) coding directly affects the result of analysis on the instrument flight procedure by the modern aircraft flight management computer (FMC). A reasonable flight track transition mode can improve the track tracking accuracy and flight quality of the aircraft. According to the path terminator (PT) and track transition characteristics of the performance based navigation (PBN) instrument flight procedure and by use of the world geodetic system (WGS)-84 ellipsoidal coordinate system, the algorithms for “fly by” and “fly over” track transition connections are developed, together with the algorithms for coordinates of fix-to-altitude (FA) altitude termination point and heading-to-an-intercept (VI) track entry point and for track transition display of the navigation display (ND). According to the simulation carried out based on the PBN instrument approach procedure coding of a certain airport and the PBN route data at a high altitude, the algorithm results are consistent with the FMC-calculated results and the actual ND results.

Key words: flight management computer (FMC), performance based navigation (PBN), path terminator (PT), navigation database (NavDB) coding, track transition

. [J]. Journal of Systems Engineering and Electronics, 2023, 34(4): 1042-1052.

Guangming ZHANG, Siqian REN, Weiwei ZHAO, Xiuyi LI. Research on FMC analytic algorithm of PBN track transition coding[J]. Journal of Systems Engineering and Electronics, 2023, 34(4): 1042-1052.

图/表 36

参考文献 27

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Path type	Path termination way
I = Initial	A = Altitude
T = Track to	C = Distance
C = Course to	D = DME distance
D = Direct to	F = Fix
F = Fix to	I = Intercept
H = Holding	M = Manual
P = Procedure turn	R = Radial
A = Arc	A = Altitude
R = Constant radius arc	C = Distance
V = Heading to	D = DME distance

Type	Termination method	Typical leg	Characteristics
Point	Point termination	IF	IF represents the initial point of the procedure

Type	Termination method	Typical leg	Characteristics
Arc	Point termination	CF	CF represents a non-stop flight along the rhumb line to the waypoint ahead with the course and the waypoint ahead given by the NavDB
		DF	For DF, the track is determined according to the turning direction, the position of the waypoint ahead and the aircraft model data in the NavDB
		RF	For RF, the track is determined according to the three-dimensional positions of the starting fix and the termination fix and the aircraft model data in the NavDB

Type	Termination method	Typical leg	Characteristics
Arc	Intercept termination	VI	VI has no definite termination point and interception of the next leg is realized in a certain heading

Type	Termination method	Typical leg	Characteristics
Segment	Point termination	TF/CF/DF	The termination point location is given by the NavDB
Segment	Altitude termination	CA/FA/VA	The altitude of the termination point is determined but the location is not

Research on FMC analytic algorithm of PBN track transition coding

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Parameter	Parameter meaning	Value
${v_{{\rm{TAS}}} }$	Current true air speed of aircraft	−
${v_{{\rm{GS}}} }$	Current ground speed of aircraft	−
$ \Delta L $	Turn lead distance	$ \Delta L $ $ \leqslant $ 20NM (nautical mile)
$ \theta $	Track variation	When barometric altitude $ \leqslant $ FL195, $ \theta $ $ \leqslant $ 120°; When barometric altitude $ \geqslant $ FL195, $ \theta $ $ \leqslant $ 70°
$ \gamma $	Aircraft bank angle	5° $ \leqslant $ $ \gamma $ $ \leqslant $ 25°

Waypoint	Geodetic coordinates
BBB02	N24°49'55.20", E119°0'21.60"
EEE05	N25°12'3.60", E119°18'43.20"
FFF06	N23°46'33.6", E118°59'31.20"

Waypoint	PT	MH/(°)	Altitude/m	Speed/kt
FFF06	IF	30	−	−
BBB02	TF	−	−	−
EEE05	TF	−	1000	205

S/N	Target altitude/m	Horizontal coordinates of target point
1	850	E112°24′13.10″, N30°46′52.95″
2	1250	E112°21′46.00″, N30°54′20.25″
3	1650	E112°19′27.21″, N31°01′21.12″
4	2050	E112°17′12.63″, N31°08′08.22″
5	2450	E112°15′0.40″, N31°14′47.24″

Coordinates of point $ B $	Great circle distance/km	Rhumb line distance/km	Difference/m
N35°40′50″ E105°20′00″	724.297	724.365	68.55
N40°40′50″ E110°20′00″	1429.881	1430.500	618.95
N45°40′50″ E115°20′00″	2113.637	2115.974	2337.16
N50°40′50″ E120°20′00″	2772.188	2778.314	6126.10
N55°40′50″ E125°20′00″	3401.874	3414.968	13094.00
N60°40′50″ E130°20′00″	3998.746	4023.244	24497.88
N65°40′50″ E135°20′00″	4558.586	4600.203	41616.30
N70°40′50″ E145°20′00″	5076.948	5142.424	65476.28
N75°40′50″ E150°20′00″	5549.241	5645.473	96231.52

Waypoint	Geodetic coordinates
AAA02	N24°11′9.6″, E118°25′58.8″
BBB02	N24°49′55.20″, E119°0′21.60″
EEE05	N25°12′3.60″, E119°18′43.20″

Waypoint	Geodetic coordinates
BIVAT	N36°39.8′00″, E111°57.2′00″
MEXOS	N35°40′00″, E112°04′01″
URBIL	N35°40′00″, E112°52.9′00″
UBDUN	N35°36.7′00″, E113°23.9′00″

Leg	Chart distance/NM
BIVAT→MEXOS	60
MEXOS→URBIL	40
URBIL→UBDUN	13

Leg	Simulation distance/NM
BIVAT→MEXOS	59.970
MEXOS→URBIL	40.354
URBIL→UBDUN	12.998

Leg	FMC-predicted distance/NM
MEXOS→URBIL	34.338
URBIL→UBDUN	8.204

Speed/kt	FMC-predicted distance/NM	Difference between FMC-predicted distance and chart distance/NM
190	50.25	2.65
210	49.56	3.31
230	48.81	4.03
250	48.17	4.83
270	47.11	5.68
290	45.68	6.59
310	44.67	7.55
330	43.71	8.51
350	43.26	9.30
370	44.23	9.01
390	45.84	7.56