a readhesion control method without speed sensor for electric railway vehicles.pdf
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A
Readhesion Control Method without Speed Sensor for Electric Railway Vehicles
Michihiro Yamashita
Railway TechnicalResearch Institute
2-8-38, Hikari,
Kokubunji
Tokyo 185-8540
JAPAN
Abstract
-
Railway vehides have tractive force by rolling contact between
wheel and rail. When the iriction coeiiicient between wheel
and
rail is small,
here are some cases where
wheel
slips or shids cause
running impossible. Therefore, wheel slips or skids are now
actuallystudied.
Recently, electric vehicles
fed
by inverters, and traction motors
vector control have come into wide we,and vector control without
speed sensor is at a trial stage for commercial roins.
Conventional readhesion control methods have made use of
speed-sensor (pulse generator) signal.. When vector control
without speed sensor
isused, t is
desirable not to use speed sensors
for raadhesion control, and
to
maintain unchanged performance.
We propose a method
of
slip detection without speed sensor by
focusing on the current
of
each motor. The effeetivenesr of the
proposed method
was
verified
by
simulation
raulis
and running
t a b using Shinkansen train.
1.
INTRODUCTION
Since the advent of railway vehicle with three-phase drive
in
the 1970s, power semiconductors used in electric railway
vehicles have been changed &om thyristors
to
GTO
thyristors
and
IGBTs. As
for traction motor control, vector control
has
come into wide in use in place of slip frequency control and
speed
sensorless vector control is in trial stage for commercial
trains[l],
[Z].
Anti-slip and readhesion control of railway
vehicles
has
also
taken
a great progress by utilizing wheel axle
speed
informatio631,[4],[5],[6],[~,[8].
So,
futnre
locomotives
and electric multiplennitswith speed sensorless vector control
should have at least the same adhesion performance
as
altematives with speed sensors.
At first characteristics of wheel slip phenomenon and anti-slip
control for railway vehicles are
mumerated
and
running
test
results that show basics of anti-slip readhesion control with
speed sensors
are
explained.
We proposed the novel anti-slip readhesion control without
speed sensor191, [lo].
By
this
method, small wheel slip can be detected and the
performance of
t h i s
control is expected to
be as
high
as the
control with speed
sensors. After tbis,
an outline of the novel
anti-slip readhesion control without speed sensor is
proposed,
and
the
effectiveness of that
is
verified by simulation and
running
test
results using Shinkansen.
U.CHARACrWsncsOFWHEEL sm
PHENOMENONAND
m
SLIP CONTROL
Tomoki Watanabe
Railway Technical
Research
Institute
2-8-38,
Hikari, Kokubunji
Tokyo 185-8540
JAPAN
Tomwoia@rhi. rjp
I When wheels adhere to the rail, the difference between the
wheel peripheral
speed
and the vehicle speed (i.e. slip velocity)
is negligibly small under
normal
conditions.
2)
Slip phenomenon changes depending on the status of the
contact surface of the wheel and the rail.
3) The number of pulses per rotation of speed sensor is
normally between
40
and
90
that is much smaller
than
that of
encoders that are widely used in other industrial applications.
So,
in addition to pulse numher counting at certain intervals,
pulse width measurement is needed to obtain as accurate speed
as possible.
4
ormally, a
speed
sensor is mounted on the traction motor.
Vertical movement of wheel axle causes rotational displacement
of the traction motor that results in shifting of the speed sensor
pulses and fluctuationof the calculated velocity. Soappropriate
averaging is necessary for wheel axle spee detection.
5) One inverter
feeds
several motors (Multiple Motor Drive)
or one motor (Individual Motor Drive). Multiple Motor Drive is
less expensive
than
Individual Motor Drive. But the wheel
diameter difference causes current imbalance among motors
in
a
group,
so
that it is necessary to
keep
he difference as low as a
few millimeters.
In.OLITLJNEOFApsn-SLIP READHESION
CONTORL WITHOW
SPEED ENSOR
Considering
our
experience[9],
[lo],
we propose the
following anti-slip readhesion control without speed sensor.
I
We focus on multiple motor drive that is widely used for
E M U S .
2)
We detect currents of each traction motors. Normally, the
inverter output c m t i.e. summation of motor currents) is
used for inverter control for multiple motor drive.
3)
As for tbe wheel axle acceleration alternativeby which slip
is detected, we use time differential of tractionmotor rotational
speed that is derived &om the inverter hquency and slip
bquency. If the motor flux is constant, the slip eequency is
proportional to the q-axle component of the motor current. So,
in vector control, we can obtain the slip frequency of each
traction motor &om relevant motor current.
4) As
for the slip velocity alternative, by which slip is
detected, we propose to use the current difference of traction
motors. The difference due
to
imbalance of wheel diameters
or
motor characteristics can
be
compensated in time of motor field
excitation or adhesion
run
for example.
5 The adhesion force at the
point
of slip detection
can be
deduced &ommotor torque and motor rotational acceleration.
They can
be
obtained
rom the vector controller.
0-7803-78 17-2/03/ 17.00,@2003IEEE
.~
29I
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IV. SIMULATIONMODEL AND CONTROL
In
this chapter, we explain a simple case what one inverter
feeds
two
traction motors.
A.
Motor
Drive
Figure I shows
a
block diagram of the multiple induction
motors drive system.
I &-
Fig. 1
Block
dia- of
the
multiple
induction
motor
drive
system
The
state equations of induction motor and drive system on
the
d-q
co-ordinates used for simulation are as follows.
(3)
M 2 M 2
LZZ LILZ
=ri+-r2, a= l - -
where
i,:Stator current vector;
v,:Stator
voltage vector; A:Rotor
fluxvector; w,:Primaryangular velocity; o,:Rotational angular
velocity;
o,
Slip angular velocity;
0 :
nduction motor torque;
r
:Wheel radius (0.43111);
G
:Gear ratio(3.01);P Number ofpole
pairs 2); R,:Stator resistance; R,:Rotor resistance; L,:Primary
self inductance; &:Secondary self inductance; M Mutual
inductance;
J:
Moment
of
inertia ofa drive system;
51:
The
load
torque corresponds to
the
adhesion;
-n
:
n means a number of
induction motor;
The torque T < s expressed as follows.
(4)
L2
L
= p -
( Zdilq -
Zdi ld)
B.
Motor Current
Figure 2 shows the diagram of tbe relation between the
voltage and current vectors in adhesion drive. The phases and
amplitudes
of
primary-current vector
il-l
and
i,,
supplied
to
each induction motor are identical.
Figure 3 shows the behaviour of stator current vector without
constant current control when the second wheel slips. The stator
current i _lf IM-1 holds the same value. On he other hand, the
stator current
i,,
of IM-2
in
Figure
2
becomes
i,.;
in Fig. 3, and
the slip angular velocity
o -2
of IM-2 and torque current
i,,,
decrease due to slip,
so
the torque of IM-2 re-%ecreases too.
When
the constant current control
of
the vector controller is
active, the stator current vector i , holds
the
same value (Fig. 4).
The current difference vector, Ai holds the same value as in the
case of Fig. 3, because the flux change is negligible and there is
the
same electrical slip difference between two, motors. That
means the torque current i,,,
of IM-I
increases and the current
il,, of
IM-2
decreases. The torque current difference
i,,,-i,,,
is
almost similar to that of Fig. 3.
C.
Relafion befween Speed Difference
and
Current Difference
This
paragraph describes the relation between the speed
The speed difference and current difference are defined
as
difference and current difference or each motor.
follows.
Speed difference
AK =
K-z -
K - i
5 )
Currentdifference N = i i p _ i - i t q _ z 6)
The
torque component current
i , ,
and
the flux
component
current ,, are constantly controlled by tbe vector control method.
The slip frequencyAm
of
each motor when a slip occurs is
calculated by using the following equation of approximation.
where
Awr
is
defined as the calculated slip frequency difference.
The axle speed difference AF l onmbelow is calculated by the
torque component current of each motoras follows.
3.6r
PG
AVt=-Aub
292
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D.
Slip
Detection wifhoufSpeed Sensor
Since the torque current of
each
induction motor behaves as
mentioned above, a threshold is set in the torque current
differencesbetween
two
motors to detect slips. Figure
5
sbows
the diagram of slip detection. Regarding the wheel acceleration,
we use the motor speeds derived from the vector con ~ollerand
the same detection method as the one commonly used in the
conventional anti-slip readhesion control
with
speed sensor.
E.
Adhesion
Presumption
We propose a new approach to presume adhesion force
between wheel
and
rail without speed sensor. The load torque
equivalent to adhesion torque is expressed by the following
e&atioo from the state equation (I ) of the chive system
(9)
The torque r,, is calculated by the following approximate
expression, where
6
s a reference value
of
rotor
flux
inkage.
Not to
use a speed sensor, d q . 2/dt s presumed from (1 1).
The slip angular velocity of u1-2 is expressed by (12) in
adhesion run.
The flux b2ardly changes when the 2nd wheel starts
slipping. Theref&e, the differentiation of o,-~s approximated
by
W.
Substitute (13)into (1 1) and some manipulation of
(9)
lead to
the load torque that is equivalent to the presumed value of
decreased adhesion.
It
is possible
to
recover the torque current on the basis of the
presumed value after readhesion.
VI q
VI
t
Fig. 3 Vestordiagrams wbm
a slip
OCNFJ.
Withan c n t a t m mL ' Ibe 2nd ha17
s
st slip)
293
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V I
T
200
Fig.4Vest01
diagramswhen
lip
w m .
Withonstantm t control.
The
2nd shafl is at slip)
I W
I
.
.......
I IC
coqara te r
i i L i
r
q -
Slip detectionsignal
i i q 2 t-i q 2 f
comarater
I l L I
r
q -
Slip detectionsignal
Fig.5 Method to detect slipsethos speed s e
v. SlMUL4TlON
In
this
chapter, we perform simulation to verify the
effectiveness
of
the proposed anti-slip readhesion control
method with
a
two-motor
(IM-1
and
IM-2)
drive system fed by
one inverter.
In
case of the slip detection system with sped
sensor, a speed difference of
0.81r
(between the vehicle
speed and the speed of slipping wheel) and the wheel
acceleration of W s re set as thresholds. Normally the
threshold value of O S k is the limit of the conventional anti-
slip readhesion control with speed sensor. In case of the
proposed control without speed sensor, slips are detected by the
torque current difference
of 30A
between
the
two motors. In the
simulation, adhesion i.e. load to que was suddenly
decreased
when
the time was 0.lsec. The
amount of
adhesion
drop is
10%in
Figs 6 ,7 and
8.
Figure
6
shows the simulation results of torque and current in
case of conventional anti-slip readhesion control with
speed
sensor. It is difficult to detect
small
slips by the conventional
control method with speed sensor (Fig.
9).
Therefore, the torque
reel
f adhesion axis
(IM-I)
increases, which will cause all-axle
slip.
Figure 7 shows the simulation
results
when a slip is detected
without speed sensor. By the proposed method of slip detection
based on the current difference, slip was detected
very
quickly.
This
time we assume that adhesion drop of the
wheel
axle 2
294
remains.
So
the axle2 slips again when torque is recovered
after
readhesion. From
OUT
experience of running tests with anti-slip
control without adhesion presumption, slip-stick repetition as
shown in Fig.
I
occurs when adhesion force between wheel and
rail is much
lower
than tractive force[7].
30
O D 0.5 I
o 1.5 2.0
TimC (roe)
1 600
1.400
P
E
l,wo
0600
b
4W
am
1W
6m
l W
0
a
I <
..........
0.0 0.5 I I5 2.0
Tm.l .)
Fig.6Responseswhen a slip occu~s
(10%
decrease
in
adhesion
force,
wt
speeds )
0.0
0.5
1.0 1.5 2.0
rims
sec)
1m
E 1.w
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Figure 8 shows the characteristics of readhesion control with
adhesion force presumption. The presumed adhesion force is
almost the Same
as
the decreased adhesion, good presumption of
adhesion force isperformed.
Figure 7 and 8 prove the effectiveness of the anti-slip
readhesion control without speed sensor.
VI.RUNNING
ESTS
RESULTS
In
this chapter, the relation between wheel peripheral speed
and motor current for each motor was described in running test
Figure 9 shows the test electric multiple-unit (e.m.u). We
sprayed
water on
the rail in
front
of the axle No. 4 of the vehicle
for measurement Figure IO shows a block diagram of the
tractionmotor circuit.
An
nverter with vector control
feeds
four
traction motors. Figure 11 shows the tes t results of a nnming
test of slips. Slips occur at three sections,from I7sec to ZOsec,
from
22sec
to 28sec and from 33sec to 38sec.
In
thispaper, we
analyze the sectionwhich does not detect slips between I7sec
and ZOsec. In that
section,
he axleNo.4 starts slip first because
of sprayed
water
in
front,
and then otber wheels slip. As
described in the above section, the toque of the slipping axles
decreases and that of the adheringaxles increases.
Figure
12
shows the characteristic between cwe nt difference
and speed difference, in which there is a linear relationship.
Equation
(14)
is derived by substituting parameters
of
traction
motor for (8). The experimental values as shown in Fig. 12
agree
well
with the theoretical values that derived from (14).
using
shinkansen.
Avt'(1- 4) =0.022
( i iq_ i -i ir .4)
(14)
295
Tberefare, even if a speed sensor s not used, a threshold for slip
detection can be set up 6 o m the n t difference and motor
parametem
12
17 22 27 32 37 42
1-1
i w
I . ~
i
, a e c , , . h
12
17
22
27
.
32 37 42
Fig.11
T c ~ tesultsof a d g u t when slipsm m .
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ACKNOWLEDGMENl
1.0 I
153.0 i
J.5 I
Fig.
12
Liner sharactnistitieb e e n urrent difference and spe difference
1.0 r 290
288
Fig.13 Behavior ofspeed difference
m d
mm d i t T m c e between he I‘ axle
and
4’ axleswhen slipocnns. (from 1 6 s o
2 2 s
Figure
13
shows he relation of the speed difference
AVt(l-4)
calculated
from
PG sensors and the speed difference AVf’ 14)
estimated fi.om the cnrrent difference. The speed difference
AVr’( l4) agrees well withthe speed difference
AVt 1-4).
From
this characteristic, it is expected that not only the speed
differences
hut
also accelerations for slip detection can be
estimated satisfactorily.
VI.
CONCLUSION
This
paper proposed a novel anti-slip readhesion control
method without spe-ed sensor for electric railway vehicles wt
multiple induction motor drive, as summarized below.
I) It is possible to detect slips by tinding the torque current
difference
of
each induction motor.
2)
The proposed method makes it easier to detect small slips
than conventional method with speed sensors.
3) Simulation and running test results show the effectiveness
of the proposed anti-slip readhesion control without speed
sensor.
This study was supported by the Program for Promoting
Fundamental Transport Technology Research. The authors wish
to
thank
the Corpo&on for Advanced Transport Technology
(CAlT).
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