[0001] The present invention relates to odometry, i.e. techniques used for determining a
change of the position of a moving object. More precisely, the present invention concerns
guided vehicles, i.e. vehicles guided by at least one guiding means, like a rail,
and configured for carrying or transporting goods and/or individuals. Such guided
vehicles comprise notably public transport means such as buses, trolleybuses, streetcars,
subways, trains or train units, etc., as well as load transporting means such as,
for example, overhead traveling cranes or mining transportation means for which safety
is a very important factor and which are guided along a route or railway by at least
one guiding means configured for defining a trajectory for the guided vehicle, such
guiding means being for instance a rail, or preferentially two rails.
[0002] A guided vehicle usually comprises automatic systems for controlling its speed in
function of its position and/or of external inputs, which are for instance the neighboring
presence of another guided vehicle, or the presence of a curve that requires a decrease
of the guided vehicle speed. Examples of automatic systems are the Automatic train
control (ATC) or the Automatic train protection (ATP) systems that commonly equip
trains. Therefore, the change of the position of a guided vehicle is very important
parameter which needs to be determined and which enables to locate a guided vehicle
within a network, e.g. a railway network.
[0003] Up to now, different techniques have been used to determine the change of the position
of a guided vehicle. They are for example techniques using global navigation satellites
(GPS), track circuits, tachometers, Doppler sensors, etc. Each of these techniques
has some limitations. For instance, doppler sensors show errors in case of snow, GPS
sensors are not able to determine a position within a tunnel, tachometers fail to
detect wheel slip/slide events, etc. In order to improve the precision of system in
charge of determining the position of a guided vehicle within a network, the above-mentioned
techniques might be combined with each other.
[0004] An objective of the present invention is to propose a new technique for measuring
a distance travelled by a guided vehicle, which is in particular not affected by slip/slide
events or losing the position within a tunnel, and which can be combined or not to
an already existing technique.
[0005] The aforementioned objective is achieved by a system and a method for measuring a
distance travelled by a guided vehicle connected to a power line according to the
independent claims. Further embodiments and other advantages of the present invention
are proposed in the dependent claims.
[0006] The invention proposes in particular a system for measuring a distance travelled
by a guided vehicle configured for being electrically connected to a power line (e.g.
an overhead power line) configured for feeding the guided vehicle in energy in the
form of alternating current, the system comprising:
- a sensor system configured for being installed on-board the guided vehicle and therefore
for moving with the latter, said sensor system being configured for measuring, notably
at different times t, for instance periodically, a value y of at least one component
of an electromagnetic field of said power line (i.e. generated by said power line)
. In the following, yi = yx_i,t_i will represent a ith value of the variable y measured for the considered component at a time ti and position
xi. In case of periodical measurement, then the measurement period TM is preferentially correlated to the period TPL of the electromagnetic field of the power line, e.g. to alternating current provided/distributed
by the power line, for instance TM = m ·TPL, with preferentially m = 1 or m being a fraction, e.g. m = 1/4. According to the
present invention, the electromagnetic field is considered as having two components,
namely an electric field component and a magnetic field component, wherein the electric
field component might be measured or quantified through a voltage measurement, and
wherein its magnetic field component might be measured or quantified through a magnetic
field intensity measurement. The present invention proposes therefore in particular
to measure the power line voltage and/or magnetic field intensity in function of the
time and position of a first measurement point of the sensor system, said measurement
point moving together with the guided vehicle when the latter travels on the network,
said position being the unknown determined by the system according to the invention.
The sensor system may comprise for instance a voltage sensor for measuring said voltage
and/or a magnetometer for measuring the intensity of the magnetic field of the power
line. Typically, the sensor system outputs thus voltage values and/or magnetic field
intensity values. The voltage is measured as the difference in electric potential
between said first point of measurement and a second point of measurement of the sensor
system, said first measurement point being electrically connected to the power line
so as to enable the measurement of said difference, and said second measurement point
being a reference potential of the guided vehicle, for instance the ground, said sensor
system measuring thus said difference in potential through its electrical connection
to the first and second point of measurement. The voltage sensor is thus configured
for measuring variations within the electric field of the power line when the guided
vehicle is moving over the network, the displacement of the guided vehicle leading
to the displacement of the first measurement point along the power line, wherein said
variations depend thus on the time and position of the guided vehicle with respect
to the stationary power line. The magnetic field intensity is also measured at said
first point or at a position around said first point, in order to determine variations
of the magnetic field of the powerline in function of the time and position of the
guided vehicle. Preferentially, the intensity of the magnetic field is measured by
the sensor system. In particular, if the sensor system is configured for measuring
both the magnetic and electric field components, then the measurement of the voltage
and the measurement of said magnetic field intensity preferentially take place at
the same time, i.e. simultaneously. According to the present invention, the sensor
system is thus configured for providing measurements of voltage and/or magnetic field
intensity values y during the displacement of the guided vehicle from a start point
(e.g. a first station) to an end point (e.g. an end station). The period TPL of the alternating current of the power line might be stored as a parameter within
the sensor system or might be measured by the sensor system, said period TPL serving as reference for triggering successive periodical (according to period TM) acquisitions of voltage and/or magnetic field intensity measurement values y by
the sensor system for said power line;
- a processing unit, comprising typically at least one processor and a memory, the processing
unit being connected to the sensor system for receiving, for each component of the
electromagnetic field that has been measured, and notably in real time, the value
y that has been measured by the sensor system for the considered component. For instance
it can receive a voltage value for each measured voltage and/or a magnetic field intensity
value for each measured magnetic field intensity. The processing unit is further configured
for automatically calculating a travelled distance Δx that has been travelled by the
guided vehicle between (i.e. during the time separating) two measurements, e.g. two
successive measurements, of the considered electromagnetic field component(s). For
instance, it is configured for automatically determining the travelled distance Δx
travelled between two successive measurements of the voltage and/or magnetic field
intensity. The travelled distance Δx is calculated by the processing unit from received
values yi and yj received respectively for these two measurements, e.g. successive values yo and y1, and by modeling the considered component of the electromagnetic field as a wave
function W(x,t), with x representing the position and t the time, in order to determine
from known characteristics of said wave function (i.e. of the power line electromagnetic
field, e.g. its frequency f, its wavelength λ, and its amplitude A0), the travelled distance Δx = xj-xi travelled by the guided vehicle between said two measurements performed respectively
at a time ti at position xi for yi and at a time tj at a position xj for yj. In other words, the processing unit is configured for determining from solving the
equations yj = W(xj,tj) and yi = W(xi,ti) the travelled distance Δx. For instance, said wave function is a sinusoidal wave
function W(x,t) = A0 · sin(2π/λ ·x - ωt) (Eq. 1), wherein W(x,t) provides an estimation of the value yx,t measured for the considered electromagnetic component at a time t and a position
x for the guided vehicle (in particular, said position x may correspond to the position
of the first measurement point with respect to the power line), A0 being the amplitude of the sinusoidal wave function for the considered component,
wherein ω/2π = 1/TPL = f, f being the frequency of the sinusoidal wave function and λ its wavelength. In other
words, each of the considered electromagnetic field components might be represented
according to the present invention by a wave function, e.g. a standing wave according
to Eq. 1, wherein the processing unit is configured for automatically determining
the travelled distance Δx by solving for two different positions x (namely xi and xj) the equation y = W(x,t), y being measured at time t by the sensor system and x determined
by the processing unit. In case of periodical measurement, one has for instance tj = ti + α ·TM wherein α is a strictly positive integer, preferentially tj = ti + m ·TPL. In Eq. 1 and for each of said components of the electromagnetic field, f, λ, and A0 are known parameters characterizing said electromagnetic field.
[0007] The invention proposes also a method for measuring a distance travelled by a guided
vehicle configured for being electrically connected to a power line feeding the guided
vehicle in energy, wherein electric power is delivered by the power line in the form
of alternating current, the method comprising:
- measuring, preferentially periodically measuring, by a sensor system installed on-board
the guided vehicle at least one component of an electromagnetic field of the power
line, e.g. measuring the electric and/or magnetic field of the power line;
- automatically determining, by a processing unit which is preferentially installed
on-board the guided vehicle, a travelled distance Δx = xj-xi travelled by the guided vehicle between two measurements of said at least one component,
said two measurements being performed respectively at a time ti at position xi and at a time tj at position xj, and giving rise respectively to the measured values yi = yx_i,t_i and yj = yx_j,t_j for said at least one component, wherein yk = yx_k,t_k represents the value measured at time tk for the considered electromagnetic field component (e.g. the voltage or magnetic
field intensity) at position xk, wherein the position xk is defined with respect to the power line (i.e. said power line serving as referential),
the travelled distance Δx being determined by the processing unit by solving the equations
yi = W(xi,ti) and yj = W(xj,tj) wherein W(x,t) is a wave function approximating/modelling variations of the considered
component of the electromagnetic field in function of the time t and position x for
the guided vehicle. In particular, said wave function W(x,t) further depends on known
characteristics of the power line (e.g. frequency f, wavelength λ, and amplitude A0).
[0008] The present invention proposes thus to measure the electric and/or the magnetic field(s)
of the power line and to model each of the latter as a wave function W(x,t), e.g.
as a sinusoidal standing plane wave function, in order to determine from measured
values y of the magnetic and/or electric field(s) (e.g. magnetic field intensity and/or
voltage) and known characteristics of the electric and/or magnetic field(s) (e.g.
electric and/or magnetic frequency f, wavelength λ, and amplitude A
0) the distance travelled by the guided vehicle by solving y = W(x,t) for each of the
considered component of the electromagnetic field.
[0009] Advantageously, having two different physical measurements, e.g. acquiring in parallel
and/or simultaneously measurement values y
i_Elec for the electric field and measurement values y
i_Magn for the magnetic field, not only might prevent failures of the system, but might
be used for increasing the precision of the system by calculating for instance a mean
value for the travelled distance in function of the travelled distance Δx
_Elec obtained from the values measured for the electric field and the travelled distance
Δx
_Magn obtained from the values measured for the magnetic field.
[0010] In particular, the system according to the invention is configured for automatically
discarding a measurement value if a difference between the travelled distance calculated
from measurement values obtained for the electric field (i.e. from the voltage) and
measurement values obtained for the electromagnetic field is greater than a reliability
constant, which might be defined in the system by a user. In particular, if said difference
is smaller than said reliability constant, then the system is configured for calculating
a mean travelled distance from the travelled distances Δx
_Elec and Δx
_Magn calculated by the system from respectively the electric field and the magnetic field.
[0011] Finally, the system is preferentially configured for automatically discarding a measurement
value which does not satisfy a physical rule. In particular, the system comprises
a database configured for storing at least one physical rule, for instance a set of
physical rules. Thanks to the physical rule, calculations of travelled distances which
would give rise to erroneous results are prevented. Preferentially, the system comprises
at least one physical rule configured for preventing the processing unit to calculate
a travelled distance if a measurement value implies a guided vehicle speed greater
than the maximum speed of the guided vehicle, and/or an acceleration value greater
than the maximum acceleration of the guided vehicle. For instance, before calculating
the travelled distance, the processing unit automatically applies at least one physical
rule to the measured value for the electric field and only computes the travelled
distance if said physical rule is verified for said measured value, the latter being
otherwise discarded. The same applies mutatis mutandis to measured values of the magnetic
field.
[0012] Further aspects of the present invention will be better understood through the following
drawings, wherein like numerals are used for like and corresponding parts:
- Figure 1
- schematic representation of a system according to the invention.
- Figure 2
- flowchart of a preferred method according to the invention.
[0013] Figure 1 shows the basic concept of the invention. A guided vehicle 2 is moving on
track 4, comprising for instance at least one rail, and is powered in energy through
electrical power transmitted by a power line 3, e.g. an electrical wire. Typically,
said power line 3 distributes electrical energy as alternating current. The power
line 3 is for instance an overhead catenary configured for being in electrical contact
with a pantograph 21 of the guided vehicle 2. Due to the presence of electrical charges
within the power line 3, the latter generates an electromagnetic field which is a
combination of an electric field and a magnetic field, called, in the present application,
the components of the electromagnetic field. The present invention proposes to measure
a distance travelled by the guided vehicle 2 based on measurement of the electric
and/or magnetic field of the power line 3. The proposed system might be installed
integrally on-board the guided vehicle.
[0014] According to the present invention, the claimed system comprises a sensor system
11 configured for measuring said magnetic field and/or electric field. The sensor
system 11 may comprise one or several sensors configured for instance for measuring
a voltage and/or a magnetic field intensity of the power line 3. Preferentially, a
voltage sensor may measure the difference in electric potential between a first point
of measurement 111 and a second point of measurement of the sensor system 11. The
first point of measurement 111 may be electrically connected to a pantograph slide
plate or a contact shoe of the pantograph, or in other words a part of the pantograph
configured for being in electrical contact with the power line 3. For instance, said
first point of measurement might be only connected to the power line when the pantograph
is in contact with the latter, while the electrical connection is automatically cut
off when the pantograph lose the contact with the power line. The second point of
measurement might be connected to a reference tension, e.g. to the ground. The first
point of measurement 111 moves together with the guided vehicle 2 enabling therefore
measurements of voltage values yi at different positions x
i along the power line 3. The same applies to a sensor configured for measuring the
magnetic field intensity. Said sensor might measure the magnetic field intensity at
said first measurement point 111 or at another measurement point close enough to the
power line 3 for enabling magnetic field intensity measurements, wherein the measurement
point for the magnetic field intensity moves together with the guided vehicle, enabling
therefore measurements of magnetic field intensity values y
i at different positions x
i along the power line 3. The concept being the same for the magnetic field and electric
field measurements, there will be in the following no distinction between the measured
values of the magnetic field and electric field, both being represented by the variable
yi. The skilled person will understand that in some cases, it represents magnetic
field intensity values, and in other cases voltage values depending on the measurement
that is performed.
[0015] The variations of the electric field, as well as the variations of the magnetic field,
in function of the position x along the length of the power line 3 (see the horizontal
x-axis extending along the power line 3) might be represented by a wave function W
which is substantially stationary. It is typically a sinusoidal wave function as shown
in Fig. 1 with an amplitude A
0 and a wavelength λ. In case of measurements of the electric field by the sensor system
11 at different positions x, e.g. x
0, x
1, ..., x
i along the power line 3, different voltage values y, e.g. y
0, y
1, ..., y
i are measured at different times t, e.g. t
0, t
1, ..., ti during the displacement of the guided vehicle 2 along the direction R. By
modeling the electric field as a wave function y = W(x,t) as schematically represented
in the graph of Figure 1 wherein the horizontal axis represents the position x and
the vertical axis the measured value y, any measured voltage value yi at a time t
i might be used for determining a position x
i along the power line 3, and thus a travelled distance. Indeed, by performing two
measurements of the voltage at two different times ti and t
j, a processing unit 12 might determine the travelled distance Δx travelled between
the period of time Δt = t
j-t
i separating the two measurements. The same technique applies mutatis mutandis to measurements
of magnetic field intensity values in order to determine from the latter said travelled
distance. Therefore, by measuring magnetic field intensity values and voltage values,
the processing unit 12 might determine a first travelled distance Δx_
Elec obtained from the voltage values and a second travelled distance Δx
_Magn obtained from the magnetic field intensity values, wherein said first and second
travelled distance are preferentially combined for improving the precision of the
determination of the distance travelled by the guided vehicle 2 during said period
of time. For instance, the magnetic field intensity and voltage measurements are performed
simultaneously and the processing unit 12 is configured for calculating the mean value
of Δx
_Magn and Δx
_Elec. Optionally, the processing unit 12 might combine the travelled distance obtained
according to the previously described technique to other techniques for determining
the position of the guided vehicle 2, for instance with data coming from an odometer
24 or from GPS data coming from a GPS system 22. The travelled distance might be then
outputting by the processing unit 12 and sent to a control system 23 of the guided
vehicle 2.
[0016] Optionally, in order to improve the precision of the measurement of the travelled
distance, the system according to the invention may comprise a modulator 13 configured
for modulating at least one of the field components of the electromagnetic field with
a reference signal, wherein said reference signal is characterized by a frequency
that is greater than the frequency of the considered field component and an amplitude
which is smaller than the amplitude of the considered field component. The wavelength
of the reference signal is preferentially a fraction of the wavelength of the electric
field. The processing unit 12 may use then a lock-in amplifier technique, or may comprise
a lock-in amplifier, for retrieving said reference signal in the measurement values
transmitted by the sensor system. According to this technique, the wave function W
which is used for power transmission is an AC carrier signal which is modulated by
the reference signal of higher frequency. Said modulator 13 might be installed on-board
or off-board and is connected to the power line for adding to the AC carrier signal
said modulation. The reference signal is preferentially a sinusoidal signal (e.g.
a voltage varying sinusoidally in function of the time), i.e. represented by a wave
function M, wherein preferentially the value m=M(x,t) of said wave function M at position
x and time t is zero when the value y (e.g. the measured voltage) of the electric
field (represented by the wave function W(x,t)) is zero. By using a lock-in amplifier
technique based on the reference signal and measuring preferentially continuously
the electric field, the processing unit 12 becomes able to increase the precision
of the determination of the position of the guided vehicle 2. Preferentially, several
reference signals might be added to the AC carrier signal for increasing the precision
of the determination of the position of the guided vehicle 2.
[0017] Figure 2 presents a flowchart of a preferred embodiment of a method according to
the invention:
At step 201, the sensor system 11 installed on-board the guided vehicle 2 measures
at least one field component of the electromagnetic field of the power line 3. It
can be the electric field, or the magnetic field, or both the electric and magnetic
field. Known techniques in the art are used for performing said measurement. Said
measurement may take place continuously (notably in the case of the use of the lock-in
amplifier technique by the processing unit 12) or periodically. In case of periodical
measurements, the sensor system 11 is preferentially configured for measuring said
electric field, respectively magnetic field, according to a period of time that is
equal to the oscillation period T
PL of said electromagnetic field. In such a case, the values periodically measured by
the sensor system 11 when the guided vehicle is at standstill will remain the same.
Said values will change as soon as the guided vehicle starts moving. Using periodical
measurements characterized by a period of measurement T
M = T
PL simplifies the processing of data by the processing unit 12.
[0018] At step 202, the sensor system 11 transmits, for instance in real time, the measured
values to the processing unit 12.
[0019] At step 203, the processing unit 12 automatically determines whether a received measured
value has to be discarded or not for the calculation of the travelled distance. For
this purpose, the processing unit 12 comprises a database for storing at least one
predefined physical rule. Said predefined rule is configured for being applied to
a measured value received by the processing unit 12 in order to determine whether
it is satisfied or not by said received measured value. Said rule may trigger the
determination of a guided vehicle speed and/or acceleration from the received measured
value and any other previously received value, and automatically determine whether
the calculated acceleration and/or speed exceed(s) a predefined value. The processing
unit 12 is therefore configured for applying the predefined physical rule to each
measured value it receives and for discarding for the calculation of the travelled
distance any measured value that does not satisfy the applied predefined physical
rule. In particular, only non-discarded values are then kept for the calculation of
the travelled distance according to step 204.
[0020] At step 204, the processing unit 12 automatically determines the travelled distance
Δx = x
j-x
i travelled by the guided vehicle 2 between two measurements of said at least one field
component, said two measurements being performed respectively at a time ti at position
x
i and at a time t
j at position x
j, and giving rise respectively to the values yi and y
j measured by the sensor system 11 for the considered field component. The sensor system
11 may therefore send to the processing unit 12 a first set of data comprising voltage
values and/or a second set of data comprising magnetic field intensity values, the
processing unit 12 calculating for each of said sets of data a travelled distance.
Said travelled distance Δx = x
j-x
i is calculated by the processing unit 12 by solving, for each of the field component
for which it received measured values, the following equations:

and

wherein W(x
k,t
k), with k = i or j, is the wave function configured for modelling the values y
k measured (y
k being the k
th measured value) for the considered field component in function of the position x
k and time t
k, wherein the positions x
k are defined along the power line 3. We have for instance, t
j > ti, the position x
j ≥ x
i with respect to a reference point xo and a direction of travel R according to x positive
as well as a wave direction according to x positive, the travelled distance being
therefore also positive. Other conventions for the direction of displacement, wave
function, signed of the travelled distance, etc. might be taken as known in the art
and based on the present concept. Optionally, the processing unit 12 might be configured
for automatically determining a change of a direction of travel of the guided vehicle
from successive voltage or respectively magnetic field measurements realized between
two extrema of the wave function modeling the considered field. Indeed, the processing
unit 12 might be configured for comparing any newly measured voltage value (resp.
magnetic field intensity value) to a reference voltage value (resp. reference magnetic
field intensity value) in order to determine an increase or a decrease of the measured
value, and from said increase or decrease, whether a change of direction occurred:
between two extrema of the wave function, the measured values (electric or magnetic
field) should continuously increase or decrease as long as the guided vehicle is moving.
If a newly measured value expected to be greater, resp. lower, than a previously measured
value is lower, resp. greater, than the latter, then the processing unit 12 is configured
for indicating a change of direction.
[0021] Optionally or alternately, the travelled distance Δx can be obtained by the processing
unit 12 from continuous measurement of the electric and/or magnetic field and by measuring
the time Δt = t
j-t
i for which y
j = W(x
j,t
j)= y
i = W(x
i,t
i). In such a case, the processing unit 12 is configured for:
- indicating that the guided vehicle is at standstill if Δt = TPL, i.e. the period of the electromagnetic field;
- if Δt < TPL, then the guided vehicle is moving towards the electromagnetic wave source and the
travelled distance is determined by the processing unit 12 from: Δx = Δt·s = Δt·S(TPL/Δt -1), with s being the speed of the guided vehicle and S being the electromagnetic
wave propagation speed in the power line; and
- if Δt > TPL, then the guided vehicle is moving in the same direction of propagation as the electromagnetic
wave and the travelled distance is determined by the processing unit 12 from: Δx =
Δt ·s = Δt ·S (1-TPL/Δt).
[0022] At step 205, the processing unit 12 automatically outputs the calculated travelled
distance, sending for instance the latter to a control system 23 of the guided vehicle
2.
[0023] Finally, the present invention proposes a new system and method for easily measuring
a distance travelled by a guided vehicle, based on measurements of the electric and/or
magnetic field of a power line feeding electric power to a guided vehicle. Advantageously,
the proposed technique for measuring the travelled distance is not affected by slip/slide
events of guided vehicle wheels, can measure near-zero speed, and enables to measure
the distance travelled by the guided vehicle 2 also in tunnels.
1. System (1) for measuring a distance travelled by a guided vehicle (2) designed for
being electrically connected to a power line (3), the system (1) comprising:
- a sensor system (11) configured for being installed on-board the guided vehicle
(2) and for measuring, for at least one field component of an electromagnetic field
of said power line (3), values of said at least one field component;
- a processing unit (12) connected to the sensor system (11), said processing unit
(12) being configured for receiving, for each of the field components for which said
values have been measured, the measured values;
characterized in that the processing unit (12) is configured for automatically calculating, for at least
one of the field components for which said values have been measured, a travelled
distance Δx = x
j-x
i that has been travelled by the guided vehicle (2) by solving, for the considered
field component, the following equations:

and

wherein
yj is the value measured by the sensor system (11) for said considered field component
at position xj and time tj;
yi is the value measured by the sensor system (11) for said considered field component
at position xi and time ti;
W(xk,tk) is a wave function configured for modelling the values yk measured for the considered field component in function of the position xk and time tk, wherein the positions xk are defined along the power line (3);
the travelled distance Δx = xj-xi being the distance travelled by the guided vehicle (2) between two measurements of
the considered field component performed respectively at time ti at position xi and at time tj at position xj and resulting in measured values yi and yj respectively.
2. System (1) according to claim 1, wherein the electromagnetic field is represented
as a combination of its field components, namely the combination of an electric field
component and a magnetic field component, the sensor system (11) being configured
for measuring a voltage value of the electric field component and/or an intensity
value of the magnetic field component.
3. System (1) according to claim 2, wherein the sensor system (11) is configured for
measuring both voltage values and magnetic field intensity values for the electromagnetic
field of the power line, and the processing unit (12) is configured for calculating
said travelled distance Δx for each of the field components, wherein Δx_Elec is the travelled distance calculated from measured voltage values and Δx_Magn is the travelled distance calculated from measured intensity values.
4. System (1) according to claim 3, wherein the processing unit (12) is configured for
automatically discarding a calculated travelled distance if a difference between Δx_Elec and Δx_Magn is greater than a reliability constant, and otherwise for calculating a mean value
of Δx_Elec and Δx_Magn for determining a mean distance travelled by the guided vehicle (2).
5. System (1) according to one of the claims 1 to 4,
wherein the wave function W is periodical and the sensor system (11) is configured
for periodically measuring the value of said at least one field component, wherein
the period of measurement equals the period of the wave function W.
6. System (1) according to claim 1 to 5, wherein the wave function W is a sinusoidal
wave function given by:

wherein A
0 is the amplitude of the wave function W for the considered field component, ω/2π
= 1/T
PL =
f, f being the frequency of the wave function for the considered field component, T
PL its period, and λ its wavelength.
7. System (1) according to claims 1-6, wherein the processing unit (12) comprises a database
for storing at least one predefined physical rule, wherein the processing unit (12)
is configured for applying said predefined physical rule to each measured value and
for discarding for the calculation of the travelled distance any measured value that
does not satisfy the applied predefined physical rule.
8. System (1) according to claims 1-7, comprising a modulator (13) configured for modulating
at least one of the field components of the electromagnetic field with a reference
signal whose frequency is greater than the considered field component frequency while
its amplitude smaller, the processing unit (12) being configured for using a lock-in
amplifier technique based on said reference signal for determining said travelled
distance.
9. Method for measuring a distance travelled by a guided vehicle (2) configured for being
electrically connected to a power line (3), the method comprising:
- measuring (201) by a sensor system (11) installed on-board the guided vehicle (2)
at least one field component of an electromagnetic field of the power line (3);
- automatically determining (204), by a processing unit (12) and for at least one
of the field components for which values have been measured, a travelled distance
Δx = xj-xi travelled by the guided vehicle (2) between two measurements of the considered field
component, said two measurements being performed respectively at a time ti at position
xi and at a time tj at position xj, and giving rise respectively to the measured values yi and yj for the considered field component, wherein the travelled distance Δx is calculated
by the processing unit (12) by solving for the considered field component the following
equations:

and

wherein W(xk,tk) is a wave function configured for modelling the values yk measured for the considered field component in function of the position xk and time tk, wherein the positions xk are defined along the power line (3).
10. Method according to claim 9, wherein the electromagnetic field is represented as a
combination of an electric field component and a magnetic field component, the method
comprising measuring a voltage value of the electric field component and/or an intensity
value of the magnetic field component.
11. Method according to claim 10, comprising measuring both voltage values and magnetic
field intensity values for the electromagnetic field of the power line (3), and calculating
said travelled distance Δx for each of its field components, wherein Δx_Elec is the travelled distance calculated from measured voltage values and Δx_Magn is the travelled distance calculated from measured intensity values.
12. Method according to one of the claims 9-11, wherein the wave function W is periodical,
and the method comprises periodically measuring the value of said at least one field
component, wherein the period of measurement equals the period of the wave function
W.
13. Method according to one of the claims 9-12, wherein the wave function W is a sinusoidal
wave function given by:

wherein A
0 is the amplitude of the wave function W for the considered field component, ω/2π
= 1/T
PL =
f, f being the frequency of the wave function for the considered field component, T
PL its period, and λ its wavelength.
14. Method according to one of the claims 9-13, comprising storing in a database at least
one predefined physical rule, the method further comprising applying said predefined
physical rule to each measured value of said at least one field component for discarding
any measured value that does not satisfy the applied predefined physical rule for
the calculation of the travelled distance.
15. Method according to one of the claims 9-14, comprising modulating at least one of
the field components of the electromagnetic field with a reference signal whose frequency
is greater than the frequency of the considered field component while its amplitude
smaller, and using a lock-in amplifier technique based on said reference signal for
determining said travelled distance.