CH3 | SIGNALLING A LAYOUT | PART 1
Signalling
SIGNALLING BOOK | CHAPTER 3 | PART 1
CONTENTS
1. Introduction - In Part 1
2. Headway - In Part 1
3. Positioning of Running Signals - In Part 2
4. Types of Signal - In Part 2
5. Points and Crossings - In Part 3
6. Track Circuits - In Part 3
7. Identification of Signals, Points & Track Circuits - In Part 3
8. Examples - In Part 3
1. INTRODUCTION
One of the first steps in any signalling project is to determine the method of train working. Having decided this, it is then necessary to decide the position and spacing of signals.
This section will assume throughout that colour light signalling to track circuit block principles will be provided on all main lines. Although other methods of working may well be more appropriate, particularly for lightly used single lines, these will be covered later in the course.
It is useful at an early stage to determine whether 2, 3 or 4 aspect signalling will be required. This will be governed by the required line capacity, which in turn will be determined by the timetable to be operated.
Having this information and an approximate signal spacing, we can then proceed to position the signals on a scale plan of the track layout. Their position relative to stations, junctions etc. will be decided largely by operating requirements.
The most economical arrangement that meets all operating requirements is the one that should be adopted.
In order to produce a safe and economical signalling scheme, the designer must use his knowledge of signalling principles and be provided with all necessary details of the train service pattern required, the track layout, gradient profiles, line speeds and train characteristics. If this information is not immediately available, it must be requested from the appropriate authority.
Sometimes operating requirements conflict with each other and with safety standards — the engineer must then use his experience to reach a satisfactory compromise whilst maintaining the safety standard.
2. HEADWAY
The headway of a line is the closest spacing between two following trains, so that the second train can safely maintain the same speeds as the first. This usually means that the second train is sufficiently far behind the first that its driver does not see an unduly restrictive signal aspect.
Headways can be expressed in terms of distance but more usefully as a time (e.g. 2 1/2 minutes between following non-stop trains). It can also be converted to a line capacity (trains per hour).
Care must be taken when using a "trains per hour" figure if the trains are not evenly spaced in the timetable. The signalling must be able to handle the minimum headway, not the average.
Headway will depend on a number of factors:-
D = Service Braking Distance
d = Distance between STOP signals
S = Sighting Distance (usually 200 yds/metres or distance travelled in 10 seconds)
O = Overlap Length
L = Train Length (less than 100 yds/metres for a short suburban train but possibly over 1km for a heavy freight train)
V = Line Speed (or actual train speed if lower)
a = Braking rate
Where any of these factors are not given to you, you should always state your assumptions. In practical situations, it is vital to obtain accurate information regarding the braking performance of trains.
It is also vital to standardise your units of distance and time. If you work in imperial, yards and seconds are most useful; in metric, metres and seconds would be most appropriate.
Whichever you decide, you must use the same set of units consistently throughout to avoid confusion and error.
2.1. Service Braking Distance
This is the distance in which a train can stop without causing undue passenger discomfort. It will depend on the line speed, gradient, and type of train. It is usually significantly greater than the emergency braking distance.
Theoretically, the Service Braking Distance can be calculated using the line speed and braking rate
This is derived from the 3rd Law of Motion.
This calculation will depend upon the braking characteristics of the type(s) of train using the line and must take into account the worst case combination of train speed and braking rate. If this calculation is to be performed frequently, it is useful to show the service braking distances for different combinations of speed and gradient in tabular or graphical form.
Gradient should always be taken into account. A falling gradient will increase braking distance, a rising gradient will reduce it. As gradients are rarely uniform between signals, we need to calculate an average gradient using the formula:
where G is the average gradient
D is the total distance
g and d are the individual gradients & distances.
For a gradient of 1 in 100, G = 100. If the gradient is expressed as a percentage, G is the reciprocal of the percentage gradient.
Falling gradients taken as negative, rising gradients as positive.
2.2. 2 Aspect Signalling
2 aspect signalling will generally be adequate on lines where traffic density is low. The required length of block section is much greater than braking distance. Only two types of signal are used, a stop signal showing stop and clear only and a distant signal showing caution or clear.
Each stop signal will have its associated distant signal.
As 2 aspect signalling will mainly be found outside the suburban area, the example shows single light signals.
The distance (d) between stop signals is variable according to the geography of the line, positions of stations, loops etc.
The headway distance can be calculated as:
H = D + d + S + O + L
giving a headway time:
Note that the headway time for the line is that of the longest section and cannot be averaged.
To obtain the greatest signal spacing to achieve a specified headway, we transpose the equation to give:
d = (V x T) - ( D + S + O + L)
2.3. 3 Aspect Signalling
With 2 aspect signalling, as the required headway reduces, each stop signal will become closer to the distant signal ahead. it is therefore more economic to put both signals on the same post.
This then becomes 3 aspect signalling. Each signal can display either stop, caution or clear.
The distance (d) between signals must never be less than braking distance (D), but to ensure that the driver does not forget that he has passed a distant at caution, (d) should not be excessively greater than the service braking distance. The current SRA recommendation is for signal spacing to be no greater than three times braking distance. BR has adopted a maximum of 50% (i.e. 1.5D) although this is often exceeded at low speeds.
The headway distance is given by:-
H = 2d + S + O + L
So the best possible headway, when the signals are as close as possible (exactly braking distance), is:
H = 2D + S + O + L
The headway with signals spaced 50% over service braking distance is:
H = 3D + S + O + L
The headway with signals spaced at three times braking distance is:
H = 6D + S + O + L
2.4. 4 Aspect Signalling
Where signals are closer together than braking distance, a preliminary caution or medium aspect is needed to give trains sufficient warning of a signal at danger. This medium aspect must not be less than braking distance (D) from the stop aspect, so the distance (d) between successive signals must on average be no less than 0.5D.
The headway distance is given by:-
H = 3d + S + O + L where d > 0.5 D
So the best possible headway with 4 aspect signalling is given by:-
H = 1.5 D + S + O + L
In practice, the geographical constraints of the track layout will probably prevent regular spacing of signals at 0.5D. If the total length of two consecutive signal sections is less than braking distance, an additional medium aspect will be required at the previous signal. In other words, the first warning of a signal at stop must be greater than braking distance away. If more than two warnings are required, the medium aspect is repeated, not the caution. Signals should however be positioned so that this situation is as far as possible avoided.
2.5. Application of Low Speed Signals and Conditional Caution Aspects
In normal use, the addition of a low speed signal provides the driver with a fifth aspect. It is important to realise that this does not have any effect on the headway of through or non-stopping trains running at their normal speed. In this situation, the engineer will arrange the signals so that each driver should, under normal conditions, see only clear aspects.
The preceding headway calculations apply regardless of whether low speed signals are provided or not.
A low speed signal tells the driver that he has little or no margin for error beyond the next signal and should control the speed of his train accordingly. The benefit of low speed signals is in allowing a second train to close up behind a stationary or slow moving train by reducing the length of the overlap, provided the speed of the second train has been sufficiently reduced.
The same effect can be achieved by delaying the clearance of the caution aspect. This is now preferred, provided an overlap of the order of 100 metres can be achieved. The clearance of the signal should be delayed to give a passing speed of approximately 35km/h.
Low speed signals should only be used where the reduced overlap is very short (less than 50 metres) and/or there are fouling moves within 100 metres of the stop signal.
2.5.1. Station Stops
With an overlap of 500 metres, a train stopped at a station will have at least 500 metres of clear track behind it. A following train will stop at the first signal outside this distance. By the addition of a low speed signal or a conditionally cleared caution, the overlap distance can be reduced and the second train can approach closer to the station. When the first train leaves the station, the second train can enter the platform earlier, thus giving a better headway for stopping trains. A conditionally cleared caution aspect will normally be used unless the overlap is less than 50 metres.
2.5.2. Approaching Junctions
Trains awaiting the clearance of another movement across a junction can approach closer to the junction while keeping the overlap clear of other routes across the junction. A low speed aspect will normally be used in this situation.
2.5.3. Recovery from Delays
A line which is operating at or near its maximum capacity will be susceptible to disruption from even minor train delays (e.g. extended station stops at busy times). Low speed signals and or conditionally cleared caution aspects can allow trains to keep moving, even if only slowly, to improve recovery from the delay. The total length of a queue of trains will be less and the area over which the delay has an impact will be reduced.
2.6. Summary
For 2 aspect signalling, the headway distance is:-
H = D + d + [S + O + L]
For 3 aspect signalling, the headway distance is:-
H = 2D + [S + O +
L] (minimum)
where signals are spaced at braking distance
H = 2d + [S + O+ L] (general case)
for an actual signal spacing of d
For 4 aspect signalling, the headway distance is:-
H = 1.5 D + [S + O + L] (minimum)
where signals are spaced at braking distance
H = 3d + [S + O + L] (general case)
for an actual signal spacing of d
Note the factor [S + O + L] is common to all equations.
Headway time is then calculated as:
2.7. Determining Signal Type and Spacing
Because cost is generally proportional to the number of signals, the arrangement of signalling which needs the smallest number of signals is usually the most economic. It must, however, meet the headway requirements of the operators.
For non-stop headways it is likely that the same type of signalling should be provided throughout. Otherwise there will be large variations in the headway. Remember that the headway of the line is limited by the signal section which individually has the greatest headway.
This section will briefly describe a technique for determining the optimum signalling for a line. There may need to be localised variations (e.g. a 2 aspect signalled line may need 3 aspect signals in the vicinity of a station or a 3-aspect line may need to change to 4 aspect through a complex junction area). These variations will depend on the requirements for positioning individual signals and can be dealt with after the general rules have been determined.
Firstly, determine braking distance, train length and overlap length required. Each must be the worst case.
Knowing the required minimum headway, use the H = 2D + S + O + L equation to determine the best possible headway for 3 aspect.
Compare the results with the required headway to check whether "best case" 3 aspect signalling is adequate. There should be a margin of 25–30% between the theoretical headway and that required by the timetable to allow for some flexibility to cope with delays.
2.7.1. If the Headway is Worse than Required
3 aspect will not be adequate and 4 aspect must be used. Recalculate for 4 aspect to confirm that this does meet the headway requirement.
T = (1.5D + S + O + L) / V
If the non-stop headway requires 4 aspect signalling, it is likely that station stops will cause further problems. Signal spacing near stations should be kept to a minimum and low speed signals or conditionally cleared cautions with reduced overlaps may also be required.
2.7.2. If the Headway is Much Better
Much better generally means a headway time of 30% or less than that required by the timetable. If this is the case 2 aspect will generally be adequate. Calculate the greatest signal spacing that will achieve the headway with 2 aspect signalling.
d=(V x T) - (D + S + O + L)
Remember that in this distance d there will be two signals, a stop signal and a distant signal.
Then compare this with the maximum permissible signal spacing for 3 aspect. In the absence of any firm rules, a judgement must be made on the amount of excess braking which is acceptable. SRA recommends that signal spacing is no more than three times braking distance while BR signalling principles specify no more than 1.5 times braking distance.
If the two calculations produce a similar total number of signals (i.e. d for 2 aspect is approximately twice the value of d for 3 aspect) a 3 aspect system will be the better choice. The cost of the signals will be similar and the operator may as well benefit from the improved headway provided by 3 aspect.
2.7.3. If the Headway is Slightly Better
It is probable that 3 aspect is the correct choice. Check that there is sufficient margin between the required and theoretical headway.
2.7.4. Signal Spacing
Having evaluated that the chosen arrangement of signalling will provide the required headway, the relevant equation should be transposed to calculate the greatest possible signal spacing that can be allowed with the specified headway:
eg. for 3 aspect signalling:
V x T = H
= 2d + S + O + L
therefore
2d = (V x T) - (S + O + L)
from which the post to post spacing (d) can be calculated
Remember, there may be a constraint on the maximum signal spacing. The value of d should not exceed this.
Geographical constraints may also require signals to be closer together than braking distance, in which case the 4th (medium) aspect is used where required. It does not need to be used throughout unless for headway [puposes].
2.8. Example
Information given:-
Max. Line Speed...... 90 km/h
Gradients .......... Level
Train Length.............. 250 metres
Headway Required..... 2 1/2 mins. (non-stop)
Before we start, we need the Service Braking Distance, either by calculation or from tables/curves (where available). We will assume that D = 625 metres.
Note : S assumed to be 200 metres.
O assumed to be 500 metres (although overlaps may need to be more accurately calculated if trainstops used)
V = 90 km/h = 25m/s
First, check 3 aspect signalling:-
H = (2D + S + O + L)
= (1250 + 200 + 500 + 250)
= 2200 metres
so T = H/V = 88 seconds.
This is much less than the 150 seconds (21/2 mins) specified. We will therefore consider the alternative of 2 aspect signalling. We cannot calculate a theoretical headway for 2 aspect signalling as the signal spacing is not fixed. Instead, we calculate the greatest 2 aspect signal spacing to give us the 150 second headway specified :
d = (V x T) - (D + S + O + L)
= (25 x 150) - (625 + 200 + 500 + 250)
= 3750 - 1575 metres
= 2175 metres
Hence 2 aspect signalling, with the stop signals no more than 2175 metres apart, would give the 2 1/2 min. headway required. However, each stop signal also requires a distant signal. Two signals are therefore required every 2175 metres. 3 aspect signalling with signals every 1088 metres would require no more signals but would give a better headway of:
H = 2d + (S + O = L)
= 2175 + (200 + 500 + 250)
= 3125 metres
So T = H/V
= 3125/25
= 125 seconds
In fact, the signal spacing could be extended further within the headway requirement of 150 seconds. This would give a better headway with fewer signals than 2 aspect.
This demonstrates that 2 aspect is generally worth considering only for very long headways.
We could now calculate the maximum possible 3 aspect signal spacing allowed by the headway :
V x T = H
= 2d + S + O + L
therefore
2d = (V x T) - (S + O + L)
= (25 x 150) - (200 + 500 + 250)
= 3750 - 950
= 2800 metres
d = 1400m
As this is over twice braking distance, it should be confirmed that this signal spacing is operationally acceptable
TO BE CONTINUED - SIGNALLING BOOK | CHAPTER 3 | PART 2...........
To continue reading Register Now or Login