H. Hõimoja, D. Vinnikov, M. Lehtla, A. Rosin, J. Zakis
Tallinn University of Technology, Department of Electrical Drives and Power Electronics, Ehitajate tee 5, 19086 Tallinn (Estonia)
Abstract--This paper analyzes energy flows, conversions
and losses in tram systems. Proposals for improvement of
the efficiency of tram systems by the help of energy storage
modules are described. In addition, such advanced methods
of energy efficiency improvement as load sharing, real-time
traffic management and Ecodriving are discussed.
Index Terms--Capacitive energy storage, DC power
systems, Substations, Traction motor drives.
I. INTRODUCTION
The requirements for modern public transportation
vehicles combine energy efficiency, environment saving,
safety, reliability and comfort. The modern IGBT-based
converters enable improved controllability and accuracy
of acceleration and braking processes, thus reducing
losses, energy consumption, pollution, noise, size, weight
of equipment and providing improved reliability.
A number of KD Tatra KT4 type trams with 160 kW
DC drive in Tallinn were modernized between 2000-2006
by replacement of rheostat control with IGBT choppers
and installation of static converters and passenger
information systems. These modernized trams show
higher efficiency, resulting in up to 48 % lower energy
consumption from the catenary. By the use of energy
storages, such as supercapacitor stacks, the energy
efficiency of trams could be further improved. New
traction converters also enable higher acceleration and
braking efforts, thus additional low-floor sections can be
added to tramcars without affecting dynamic properties.
The tram infrastructure, including energy conversion
and distribution should also be considered as a topic of
interest in terms of loss minimization. The supply is
mostly based on the use of rectifier-substations, fed by
medium-voltage distribution networks. Due to the lower
DC voltage level of 600 V and to the use of powerful
traction drives, this type of electrical systems often
becomes critical regarding voltage drops [1]. This can
cause difficulties when operated with modern variable-
frequency AC traction drives, for which the DC-bus at
the input of the frequency converters needs to be within a
certain tolerance level. Additionally, the possibility of
regenerative braking at low speeds is a common property
of new vehicles, but it is often inefficient with low traffic
and non-reversible traction substations. It finally leads to
the use of resistive dissipaters during braking. In that
context, considerable energy savings can be achieved by
the help of energy storage systems, with a corresponding
impact on operation costs.
II. POWER ANALYSIS AND LOSS MINIMIZATION
POSSIBILITIES IN TRAM SYSTEMS
Generally, the electrical part of the tram system
consists of traction substations, cables, overhead line and
rails network, which supply trams with DC voltage. The
energy consumed by an electric vehicle is converted into
useful energy with losses. In terms of consumption, the
changes are substantial; however, the average consumed
power is low. Current peaks cause voltage drops and
power losses in the catenary. The energy from substations
is consumed according to the following balance [2]:
( )
=
+ + + =
n
i
i move i loss dr i dev aux i loss gr grid
W W W W W
1
, , . ., . , .
, (1)
where W
gr.loss
is the losses in the overhead line grid,
W
aux.dev
is the energy consumption of auxiliary devices of
a tram, W
dr.loss
is the drive losses, W
move
is the energy
converted to tram's movement, and n is the number of
trams in the grid. The power balance of catenary is
( )
i i i loss dr i dev aux i grid i tram
n
i
g
v F P P R I P + + + =
=
, . ., . ,
2
,
1
, (2)
where I
tram
is the input current of the tram, R
grid
is the
resistance of the overhead line, P
aux.dev
is the power of
auxiliary devices of a tram, P
dr.loss
is the power loss of the
motor, F is the traction force, v is the tram’s velocity [3].
The consumed energy of the tram traction drive is
converted to kinetic and potential energy and useful work
to overcome the friction and other resistances.
( )
, ) ' ( '
1
1
2
2 1 0
0 0 0
+ + + + =
= + + =
ds v c v c g m c dv v m dh mg
W W W W
s
s
v
v
h
h
t
res kin pot
t
tr
η
η
(3)
where η
t
is the combined efficiency of the drive system
of a tram, m and m' are the normal and the effective mass,
which consider additionally the inertia of rotating masses,
h is the height of the rails from the sea level, v is the
speed of movement, c
0
is the resistance coefficient
independent of the speed, c
1
is the resistance coefficient
proportional to the first exponent of the speed
(suspension), and c
2
is the resistance coefficient
proportional to the second exponent of the speed (drag
resistance).
The value of the power equation (Eq. 3) depends on
the parameters of the tram, railway profile, operation
modes and driver skills. The processes can be optimized
according to minimal energy consumption as vehicle and
Survey of Loss Minimization Methods in
Tram Systems
978-1-4244-4987-3/10/$25.00 ©2010 IEEE
SPEEDAM 2010
International Symposium on Power Electronics,
Electrical Drives, Automation and Motion
1356