Calculation of Consumption for Car Transport at the different Trip Phases
a) Running in a Convoy at constant Speed
with the following Consumption Components:
Term  Value  Unit 
electromagn. losses* 
0.15

l diesel/100km/cabin 
caronboard consumpt** 
0.23

l diesel/100km/car 
cabinonboard consumption*** 
0.19

l diesel/100km/cabin 
air resistance (see Annex A3) 
*electromagnetic losses: losses depend on material choice for the rails. It is assumed that a cabin in a convoy has electromagnetic losses of 10 % of the air resistance at 180 km/h. It follows a consumption of 0.15 l diesel/100km. Cabins travelling singly have double losses
**averaged caronboard power consumption 1,5 kW; efficiency of inductive onboard energy supply from wayside component on: 0.8
***averaged cabinonboard consumption 1.2 kW for air gap control, safety and communication electronics, MMI and window control. It results with an efficiency from primary energy to the air gap of 0.32 (see figure):
The figure shows the energy consumption of loaded carcabins depending on the convoy length (air resistance according to Annex A3 plus addition for unforeseen effects).
Exemplary values from the figure:
Convoy Length  Consump.  Single
Cabin 
Consump.  Total
Convoy 
120 
1.7

l diesel/100km 
204.0

l diesel/100km 
80 
1.9

l diesel/100km 
152.0

l diesel/100km 
60 
2.0

l diesel/100km 
120.0

l diesel/100km 
38 
2.2

l diesel/100km 
83,6

l diesel/100km 
30 
2.4

l diesel/100km 
72.0

l diesel/100km 
10 
3.3

l diesel/100km 
33.0

l diesel/100km 
5 
5.4

l diesel/100km 
27.0

l diesel/100km 
4 
6.2

l diesel/100km 
24.8

l diesel/100km 
3 
7.5

l diesel/100km 
22.5

l diesel/100km 
2 
10.5

l diesel/100km 
21.0

l diesel/100km 
1 
20.0

l diesel/100km 
20.0

l diesel/100km 
Empty cabins have a 0,23 l diesel /100km lower consumption, since the caronboard consumption is void.
b) Trip phase: Reclose gaps in the convoy
(assumption: one gap each 10 cabins)
Term  Value  Unit 
length of a gap 
5.0

m 
acceleration 
1.0

m/s² 
time for closing gap 
5.5

s 
travelled distance in this time 
274

m 
convoys from 10 cabins each 
3.3

l diesel/100km/car 
c) Trip phase: acceleration from 0 to 180
km/h
Term  Value  Unit 
distance for acceleration 
1250

m 
Convoys of:  
10 cars 
1.1

l diesel/100km/car 
5 cars 
1.8

l diesel/100km/car 
4 cars 
2.0

l diesel/100km/car 
d) trip phase: braking a single vehicle
from 180 to 0 km/h
Term  Value  Unit 
distance travelled 
1250

m 
1 car 
6,6

l diesel/100km/car 
e) Additional consumption due to empty runs
Scenario: Line Breitscheider Kreuz – Cologne Airport Traffic flows are different in both directions. Compensation empty moves are necessary. Number of daily transported road vehicles and fraction of lorries and buses corresponds to the traffic volume map assuming that 50% of motorway traffic volume changes over to AUTOSHUTTLE.
ea) Partition of a day into times of different traffic densities
Rush hours: 6:00 to 8:00 o’clock and16:00
to 18:00 o’clock
vehicles during rush hour  vehicles/hour  lorry/bus partition 
in direction 1

2000

0.1

in direction 2

3000

0.1

periods of medium traffic density: 8:00
to 16:00 o’clock and 18:00 to 21:00 o'clock
vehicles during medium time  vehicles/hour  lorry/bus partition 
in direction 1

1400

0.15

in direction 2

1600

0.15

time of low traffic density: 21:00 to 6:00
o’clock
vehicles during low hours  vehicles/hour  lorry/bus partition 
in direction 1

506

0.28

in direction 2

508

0.28

total traffic per day:
vehicle/day  lorry/bus partition  
Total number of vehicles per day 
62126

0.15 
Total number of cars per day 
52621


Total number of lorries and buses per day 
9505

eb) Calculation of lengths and patronage
of convoys from ea)
During the rush hour is a departure each 
2

minutes carconvoys with  
in direction 1

60

loaded and 
30

empty cabins 
in direction 2

90

loaded and 
0

empty cabins 
During the rush hour is a departure each 
6

minutes lorry/busconvoys with  
in direction 1

20

loaded and 
10

empty cabins 
in direction 2

30

loaded and 
0

empty cabins 
During the medium time is a departure each 
2

minutes carconvoys with  
in direction 1

40

loaded and 
6

empty cabins 
in direction 2

45

loaded and 
0

empty cabins 
During the medium time is a departure each 
7

minutes lorry/busconvoys with  
in direction 1

25

loaded and 
4

empty cabins 
in direction 2

28

loaded and 
0

empty cabins 
During the low traffic time is a departure each 
4

minutes carconvoys with  
in direction 1

24

loaded and 
0

empty cabins 
in direction 2

24

loaded and 
0

empty cabins 
During the low traffic time is a departure each 
7

minutes lorry/busconvoys with  
in direction 1

17

loaded and 
0

empty cabins 
in direction 2

17

loaded and 
0

empty cabins 
ec) Number and consumption of convoys at
constant speed
During the rushhour there are 
120

carconvoys/dir. 
consumption/convoy in direction
1

146

l diesel/100km/convoy 
consumption/convoy in direction
2

153

l diesel/100km/convoy 
During medium time there are 
330

carconvoys/dir. 
consumption/convoy in direction
1

89

l diesel/100km/convoy 
consumption/convoy in direction
2

91

l diesel/100km/convoy 
During low traffic time there are 
135

carconvoys/dir. 
consumption/convoy in direction
1

58

l diesel/100km/convoy 
consumption/convoy in direction
2

59

l diesel/100km/convoy 
ed) Trip phases
Averaged trip length is 35 km. Station distance be 5 km. It results:
During the rushhour starting carconvoys
have 9 loaded and 4 empty cabins in direction 1 and 13 loaded cabins in
direction 2. During medium traffic time starting carconvoys have 6 loaded
and 1 empty cabins in direction 1 and 6 loaded cabins in direction 2. During
low traffic time starting carconvoys have 3 loaded and 0 empty cabins
in direction 1 and 3 loaded cabins in direction 2. Total trip is composed
by start, travelling at constant speed with gap reclosing phases at the
stations and breaking.
Traffic time  Rush  Medium  Low  Unit 
Start 
1634

2376

2563

1E5 l diesel/trip 
Constant speed 
61532

65358

74192

1E5 l diesel/trip 
Reclosing gaps 
5417

5417

5417

1E5 l diesel/trip 
Breaking 
8250

8250

8250

1E5 l diesel/trip 
Total 
76832

81401

90422

1E5 l diesel/trip 
Total 
2.2

2.3

2.6

l diesel/car/100km 
Fraction of total trips 
0.342

0.533

0.125

% 
f) Resulting energy consumption in energy equivalent to l diesel at the gas station considering all trip phases and empty runs:
2,3 l diesel/car/100km or 102 miles/USgallon of diesel oil