Calculation of PAPI-ILS/Glide Slope Harmonisation

 

PAPI

 

ILS-Cross pointer

 

 

Other Activities:

Radar and Radio Coverage Calculations

Development of ICAO Flight Profiles

 

e-mail contact: spichti@yahoo.de

 


Detailed Calculation of harmonisation between PAPI (Precision Approach Path Indicator) and ILS- GS (Instrument Landing System- Glide Slope) Signal

 

1. General:

The requirement to harmonise the optical glide slope (PAPI) with the electronic glide slope  (ILS- GS) is expressed in ICAO (International Civil Aviation Organisation)- Annex 14 and in the ICAO- Aerodrome Design Manual, Part 4, Visual Aids.

ICAO prescribes the formula for calculation of the ILS- GS position as well as for the PAPI position. Reference point for both calculations is the so called Threshold, which is a point defined by ICAO. It is located at the beginning of the runway and is defined by a height above ground of 15m + max. 3m. 

The calculation has to take into account terrain level profile of the longitudinal and the lateral slopes of the runway and the adjacent terrain accommodating the PAPI and ILS- GS installations.

The formula for calculation of the ILS- GS position is to be considered binding for the ICAO- member states and applies for all categories of aircraft.

The calculation of the PAPI position is related to the ILS- GS position, but has to take into account a lot more parameters and interdependencies. Besides the longitudinal and lateral slope of the runway and the height profile at the PAPI position, the calculation has to consider the difference in height between the eye level of the pilot and the ILS antenna, the Minimum Eye Height (MEHT) and the minimum wheel clearance at the threshold.

The trimming of the aircraft results in different pitch angles and levels.

The respective characteristics for eye level, aircraft antenna height and pitch level are summarised in the Aerodrome Design Manual Part 4.

Frequently the distance between taxiway outlet and touch down point on the runway and the runway length are of importance for PAPI positioning, to avoid unnecessary taxiing on the runway. This is of concern especially in cases where no ILS is available, or the ILS- GS should be out of service.

Due to the rather global calculation examples contained in the Aerodrome Design Manual, Part 4, the requirements for locating the PAPI are reflected rather vague, especially in respect to harmonisation optimisation.

Various ICAO member states tend to take the hyperbolic structure of the Glide Slope signal as basis for the determination of the Threshold crossing height and the respective ILS- GS position. In such case the GS threshold crossing height has to be calculated based on the linear glide slope crossing the runway (“Glide Slope Origin”) on a given GS distance.

 


2. Background of the ICP Calculation Scheme:

The calculation scheme has been developed strictly in line with the respective ICAO Regulations.

The prerequisite data are shown in the schematic layout (Add. 1).

Normally those data can be depicted from construction plans with height lines (in case of less than 5cm increments, interpolation is required).

The data depicted from the plans are entered in the first text page (Add. 2).

The respective Civil Aviation Department (CAD) has to specify/approve the Glide Slope angle, the “ILS-GS Threshold Crossing Height” (hyperbolic or linear), the ILS-GS distance from Threshold, the “most demanding aircraft” and the required “Wheel Clearance”.

These data are then entered in the respective tables of the calculation scheme, by entering the aircraft reference data (as listed in the Aerodrome Design Manual. Part 4) in the formula (Add. 3).

For calculation of the linear glide slope position in case of a given hyperbolic one, a separate sub- scheme is available. As a result the relation of runway slope, GS reflection plane slope, GS Origin, GS distance and threshold height is provided. This information is also given in graphical form (Add. 4). The GS origin is the point on the runway where also the PAPI beam has its origin, when projected on the runway.

Once all data have been entered in the first text page, the calculation automatically calculates the PAPI distance from threshold, the MEHT, the wheel clearance and the harmonisation limits. The results are available for 20’ and 30’ PAPI beam width.

The different pitch levels provided by ICAO Aerodrome Design Manual, Part 4, are also considered, even they are of minor impact on the civil aircraft types (Add. 5).

In order to give an impression of the PAPI presentation to an aircraft mix, usually the consideration of B-737, A-300 and B-747 is sufficient. However, any other aircraft type, whose characteristic data are available can be considered.

By inserting different PAPI distances into the calculation, the impact on landing length or distance to the taxiway outlet(s) is available.

For visualisation the calculation results are also presented in graphical form (Add. 6).

The advantage of the calculation scheme is the quick consideration of changing customer demands without redoing complete manual calculations.

For calculation of the PAPI position on sloping terrain, the longitudinal slope is automatically included in the calculation.

Once the cross slope within the considered PAPI area is available, the pole height of the PAPI can be selected by varying the PAPI beam level related to the runway level at the PAPI position (Add. 7).

 


3. Summary:

The ICP calculation scheme is considered to be a valuable tool for investigating the influence of PAPI positioning related to the ILS-GS, based on varying customer demands. The calculation is strictly in line with the ICAO regulations and the results can be used for optimising the PAPI position for individual airports and their related requirements.

Various calculation results can be combined in a summary table, showing the interdependencies of i.e. distance, MEHT/wheel clearance, TCH (threshold crossing height)and touch-down distance, based on changing one or more selected parameters.

The considered parameters are:

ILS- GS distance from threshold

ILS-GS threshold crossing height

ILS-GS glide angle

ILS-GS «Origin» on the runway

Runway longitudinal slope

Longitudinal terrain slope at ILS-GS and PAPI locations

PAPI distance from threshold related to ILS-GS origin

Lateral slope at ILS-GS location related to the runway

Lateral PAPI slope(s) related to the runway

Aircraft parameters according to ICAO Aerodrome Design Manual, Part 4

Ideal PAPI position related to the reference aircraft

PAPI position matched to MEHT and wheel clearance 6m and 9m for different eye levels

Wheel clearance for 20 ‘ and 30’ PAPI beam width for different aircraft

Distance limit for harmonisation related to threshold for various aircraft

 

4. List of Addenda:

Addendum 1: Layout schematic for data acquisition

Addendum 2: First Text Page for data insertion

Addendum 3: ICAO data for various aircraft types

Addendum 4: Relation between runway and glide slope origin

Addendum 5: Influence of pitch level on the PAPI distance and MEHT

Addendum 6: Examples of visualisation

Addendum 7: PAPI- position related to the runway

 

Addendum 1:

Abbreviations:

 

 

 

 

 

D = Longitudinal distance

ey = Eye

 

 

 

d = cross distance

ant = ILS antenna

 

 

 

H = Ground level

rad = Wheel

 

 

 

h = Height above ground

PAPI = papi = Precision Approach Path Indicator

 

q = Glide Path Angle

RWY = rwy = Runway

 

 

 

trh = Runway Threshold

CL = Centre Line

 

 

xh = Threshold Crossing Height

Whcl= Wheel Clearance

 

GP = gp = Glide Path/Slope

 

 

 

 

@ = Longitudinal Slope

 

Expected Area of Installation = Area which has:

 

 

 

 

- almost no longitudinal slope changes

 

 

 

 

 

 

- to be enlarged if required by calculation results

 

 

 

 


 

Addendum 2:

Topographic Data:

 

 

The following Data for the Glide Path/Slope are taken as basis:

 

 

-The predicted Glide Slope angle (normally 3 degrees) Q =

3,1

o

-Lateral displacement of the Glide Slope from the runway centreline (Dgprwy)

120,00

m

-site elevation of the intended Glide Slope position (Hgp)

36,95

m

-Site elevation of the intended Glide Slope position projected on the runway centre line (Hgprwy)

38,71

m

-Site elevation of the lateral Glide Slope centre at Threshold distance (Hgptrh)

37,84

m

-Site elevation at runway Threshold (Hrwtrh)

39,60

m

-Threshold crossing height (xh)

13,92

m

Distance of the afore listed intended positions from the Threshold

306

m

 

 

 

Cross slope and ground levels for the PAPI- Units at the intended distance from Threshold:

 

 

Centre Beam elevation (PAPI 2 + PAPI 3)/2

3,1

o

Runway Centreline:

38,35

m

Runway Edge:

38,12

m

PAPI 1:

37,93

m

PAPI 2:

37,88

m

PAPI 3:

37,79

m

PAPI 4:

37,75

m

-Height of the PAPI- Beam below or above the runway centreline

0,14

m

Distance of the afore intended positions to the Threshold

430

m

                                                                                                                                                                 

                                                                                                                                                                                          

NOTE: The ICAO wheel and obstruction clearances according to Annex 14,

Volume 1, table 5.2, 5.3 and figure 5.20 shall be duly observed

 


Addendum 3:

 

Max. Pitch

B-737

 

 

A-380

 

 

B-747

 

 

Heyant

0,18

m

Heyant

4,88

m

Heyant

6,40

m

 

Heywhl

6,46

m

Heywhl

10,97

m

Heywhl

13,81

m

 

Hantwhl

6,25

m

Hantwhl

6,10

m

Hantwhl

7,44

m

 

Desir.Whcl

9,00

m

 

9,00

m

 

9,00

m

 

Min.Whcl

5,00

m

 

6,00

m

 

6,00

m

 

Min. Pitch

B-737

 

 

A-380

 

 

B-747

 

 

Heyant

0,37

m

Heyant

4,57

m

Heyant

6,34

m

 

Heywhl

4,63

m

Heywhl

10,06

m

Heywhl

11,58

m

 

Hantwhl

4,27

m

Hantwhl

5,49

m

Hantwhl

5,24

m

 

Desir.Whcl

9,00

m

 

9,00

m

 

9,00

m

 

Min.Whcl

5,00

m

 

6,00

m

 

6,00

m

 

 

 

 

 

 

 

 

 

 


Addendum 4:

1)       Summary of Parameters:

 

 

 

 

dgp

120,00

m

q =

3,10

degrees

Hgp

36,95

m

Tan GPq arc

0,05415806

 

Hgprwy

38,71

m

Tan @-rwy arc

-0,0028988

at estimated Position

Hgptrh

37,84

m

@runway deg

-0,1660899

 

Htrh

39,60

m

 

 

 

xh = htrh =

13,92

m

 

 

 

@gp degr (arc)

-0,002898815

 

 

 

 

q degr (arc)

0,054158064

 

 

 

 

Tan(q arc + @gp arc)

0,051304191

 

                                                                                                                                                                                                       

2)      Calculation of GP distance to Threshold:

                                                                                                                                                                             

ICAO- Formula

Dgptrh=

305,99

m

Thumb- Formula for verification of ICAO- Formula:

Dgptrh=

305,96

m

Verification xh:

xh=

13,92

m

                                                                                                                                                                                          

3)     GP- Origin on the Runway:

                                                                                                                                                                                          

GP- Origin =

271,63

m

GP- Origin (verified)=

271,60

m

                                                                           

 

Addendum 4, continued:

 

 

Addendum 5:

 

8) Wheel Clearance, the following values apply to the distance selected in section 10:

 

 

MEHT at q+@-17min

MEHT at q+@-12min

Max. Pitch

B-737

A-380

B-747

B-737

A-380

B-747

 

13,35

8,83

6,00

13,96

9,45

6,62

                                               

                                                                                                                                                                                                                                       

                                                                                                                                                                                          

 

MEHT at q+@-12min

MEHT at q+@-17min

Min. Pitch

B-737

A-380

B-747

 

B-737

A-380

B-747

 

15,17

9,75

8,23

 

15,79

10,37

8,84

                                               

                                                                                                                                                                                                                                            

                                                                                                                                                                                                                                           

9) Correction of  MEHT:

                                                                                                                                                                                                                                                                          

Max. Pitch

B-747

MEHT q+@-17', m/ft

Dpapi,m

A-380

MEHT q+@-17', m/ft

Dpapi,m

 

6m Whcl

19,81

64,99

424,83

6m Whcl

16,97

55,69

363,60

 

9mWhcl

22,81

74,83

489,64

9mWhcl

19,97

65,53

428,41

 

Max. Pitch

B-747

MEHT q+@-17', m/ft

Dpapi,m

A-380

MEHT q+@-17', m/ft

Dpapi,m

 

6m Whcl

17,58

57,69

376,77

6m Whcl

16,06

52,69

343,85

 

9mWhcl

20,58

67,53

441,57

9mWhcl

19,06

62,53

408,65

 

 

 

 

 

 

 

 

10) PAPI coverage Dpapi (Max. Pitch):

                                                                                                                                                                                                                                                                 

Type

q+@-x'

Dpapi/Trh

q+@+x'

3xRed

3xWhite

Values without Glide Slope tolerances!!

15'/B-737

1382,85

425

-2188,46

1383

0

Harmonisation to

1380,00

m

prior

Threshold

15'/A-380

296,52

425

-1128,60

297

0

Harmonisation to

300,00

m

prior

Threshold

15'/B-747

-56,19

425

-784,49

-56

0

Harmonisation to

60,00

m

after

Threshold

10'/B-737

2303,23

425

-3054,74

2303

0

Harmonisation to

2300,00

m

prior

Threshold

10'/A-380

663,79

425

-1474,29

664

0

Harmonisation to

660,00

m

prior

Threshold

10'/B-747

131,50

425

-961,15

132

0

Harmonisation to

130,00

m

prior

Threshold

 

11) PAPI coverage (Min. Pitch):

 

Type

q+@-x'

Dpapi/Trh

q+@+x'

3xRed

3xWhite

Values without Glide Slope tolerances!!

15'/B-737

1340,53

425

-2147,17

1341

0

Harmonisation to

1340,00

m

prior

Threshold

15'/A-380

367,06

425

-1197,42

367

0

Harmonisation to

370,00

m

prior

Threshold

15'/B-747

-42,08

425

-798,26

-42

0

Harmonisation to

40,00

m

after

Threshold

10'/B-737

2239,36

425

-2993,17

2239

0

Harmonisation to

2240,00

m

prior

Threshold

10'/A-380

770,25

425

-1576,91

770

0

Harmonisation to

770,00

m

prior

Threshold

10'/B-747

152,79

425

-981,68

153

0

Harmonisation to

150,00

m

prior

Threshold

 

 

Addendum 6:

 


Addendum 6, continued:

 

 

 

Addendum 7: