JP5462842B2 - Mobile length measuring device and train operation management system using the same - Google Patents

Description

  The present invention relates to a moving body length measuring device that measures the length of a moving moving body, and more particularly to a moving body length measuring device for a railway vehicle and an operation management system using the moving body length measuring device.

  For a device that measures the length of a moving body while traveling, two object detection sensors are installed in the traveling direction, and the traveling speed is estimated using the distance between the sensors at the two installation positions and the passage time difference, An apparatus that estimates the moving body length by multiplying the difference between the detection start and end time of one object detection sensor by the travel speed is widely known (see FIG. 1).

  For example, in Patent Document 1, it is assumed that the distance between sensors is set to a distance (about 1.5 m) at which the change in speed of the moving body is small, and constant speed or constant acceleration motion is assumed, and the average speed between two points is assumed. An apparatus for estimating the moving body length from the above is disclosed. In addition, a speed sensor using a Doppler effect or an optical spatial filter is installed in front of the moving body to continuously detect the speed, and the moving body length is measured by integrating the speed from the detection start time to the end time. An apparatus is disclosed.

  In Patent Document 2, the distance between the sensors is set longer than the expected maximum moving body length, the difference between the passing times of the moving bodies is individually detected by the sensor, and the moving body length is obtained using the harmonic average of the two time differences. A measurement device is disclosed.

JP 2008-180611 A JP-A-10-260017

  In the systems listed in Patent Documents 1 and 2, all assume constant acceleration motion. However, when the above device is applied to a railway vehicle, it is necessary to assume a stop due to external factors such as traffic lights or internal factors. There is. In addition, as described in Patent Document 1, the method of detecting the speed continuously from the front requires that a speed detection device be installed at a position where the front of the moving body can always be seen during the moving body length measurement time. However, there is a problem that an appropriate installation position cannot be determined for measurement of a long moving body by connecting a plurality of railway vehicles.

  In view of the above problems, the present invention provides a moving body length measuring device capable of detecting a range of a moving body length even when stopped using an object detection sensor installed on the side of the moving body and a train operation management system using the same. For the purpose.

In order to solve the above-mentioned problem, the mobile body length measuring device of the present invention has at least three or more object detection sensors on the side in the traveling direction of the mobile body, and the distances between the sensor installation positions of the object detection sensors are different. The distance between the object detection sensors having a smaller distance between the sensor installation positions is set between the arrival time of one object detection sensor and the arrival time of the other object detection sensor. The distance between the object detection sensor passage time and the other object detection sensor passage time is such that the movement of the moving body can be regarded as a constant speed, and is smaller than the assumed minimum length of the moving body length. the larger the distance between the object detection sensor distance have been taken longer than the maximum envisaged moving body length, the arrival time and passing of the moving object by the object detection sensor Time detection to the estimated minimum and maximum values of the moving body length.

Furthermore, prior SL upon detection section enters the object detection sensor, and the instantaneous estimate the average speed in the speed or detecting section traveling during escaping, the instantaneous speed, the average speed, maximum acceleration, maximum deceleration, of the maximum speed The minimum value and the maximum value of the moving body length are estimated using at least one.

  Furthermore, the train operation management system of the present invention includes a train length measurement device that estimates a train length using the mobile body length measurement device, and displays a train existing section on a screen using the estimated train length. Control determining means for controlling the field equipment by determining the display means or the train existing section is provided.

  By using the present invention, it is possible to accurately estimate the moving body length or its range only with simple ground facilities. Moreover, it becomes possible to estimate the train length of the train that has traveled the measurement section regardless of the type of train, which contributes to improving safety in the train operation management system.

FIG. 1 is a basic principle diagram showing physical quantities measured by two object detection sensors. FIG. 2 shows an embodiment of the moving body length measuring apparatus of the present invention. FIG. 3 is a graph showing the relationship between the speed change of the moving body and the moving body length. FIG. 4 is a graph showing a method for calculating the maximum length and the minimum length of the moving object. FIG. 5 is a graph showing a method for calculating the maximum length and the minimum length of a moving body when a stop occurs. FIG. 6 shows another embodiment of the moving body length measuring apparatus of the present invention. FIG. 7 shows an example of an operation management system using the moving body length measuring device of the present invention. FIG. 8 is a screen example of the operation management system. FIG. 9 is a diagram showing a change in train speed when the inter-sensor distance L is smaller than the moving body length X.

  DESCRIPTION OF EMBODIMENTS Embodiments of a moving body length measuring device and a train operation management system using the same according to the present invention will be described with reference to the drawings. In the following, a system using a railway vehicle as a moving body will be described.

  FIG. 1 is a basic principle diagram showing physical quantities that can be measured using two object detection sensors in explaining the present invention. Sensor A (start point side) and sensor B (end point side) are arranged in this order from the front side with respect to the traveling direction of the moving body, and the distance between the sensors is L [m] and the moving body length is X [m]. At this time, the arrival time and passage time of sensor A, the arrival time and passage time of sensor B are tAin, tAout, tBin, and tBout, respectively. At this time, each of the object detection sensors detects the presence as a pulse when detecting the object.

  As the object detection sensor, an ultrasonic sensor, an infrared sensor, a laser sensor, or the like may be used as long as an object detection pulse can be acquired. If an appropriate object is detected, tAin and tAout can be obtained from the sensor A detection pulse, and tBin and tBout can be obtained from the sensor B detection pulse. From these times, sensor A passage time ΔtA = tAout−tAin, sensor B passage time ΔtB = TBout-tBin, the head side passage time Δtin = tBin-tAin, and the tail side passage time Δtout = tBout-tAout, respectively.

  At this time, if it can be assumed that the traveling speed of the moving body is constant, the traveling speed V = L / Δtin or V = L / Δtout, and the moving body length can be estimated as the moving body length X = V · ΔtA or X = V · ΔtB. However, in consideration of actual mobile travel, particularly when a railway vehicle travels as a train, there is a possibility of stopping even during the vehicle length measurement section due to the influence of a signal or the like, and it is difficult to regard the travel speed as constant. Therefore, a means for measuring the vehicle length with high accuracy even when the traveling speed changes is required.

  FIG. 2 shows a first embodiment of the moving body length measuring apparatus 201 of the present invention. Reference numeral 201 denotes a moving body length measuring device, and 202 denotes a moving body whose moving body length is to be measured. The sensors A1, A2, and B are arranged in this order from the front side with respect to the traveling direction of the moving body 202, and between the sensor A1 and the sensor A2. The distance between the sensors is l [m], the distance between the sensors A2 and B is L [m], and the moving body length to be obtained is X [m]. Each sensor uses the same object detection sensor as shown in FIG. 1, and when measuring a railway vehicle as the moving body 202, the sensor detection pulse is cut off at the side of the measurement section so that each sensor breaks. It is assumed that the moving body length measuring device 201 measures the vehicle length which is the length of each vehicle. In addition, the arrival time, the passage time, the arrival time, the passage time, the arrival time, and the arrival time of the sensor B of the moving body 202 are denoted as tA1in, tA1out, tA2in, tA2out, tBin, and tBout, respectively.

Here, the inter-sensor distance l [m] is sufficiently short, and the movement of the moving body 202 between the sensor A1 arrival time tA1in and the sensor A2 arrival time tA2in and between the sensor A1 passage time tA1out and the sensor A2 passage time tA2out is constant. Use a distance that can be regarded as a speed. The distance between the sensors A1 and A2 is sufficiently smaller than the assumed minimum length of the moving body length X [m]. At this time, assuming that the installation positions of the sensors A1 and A2 are both the start point A, the instantaneous speed when the start point A arrives is Vain, and the instantaneous speed when the start point A passes is Vaout, the following (formula 1) (Equation 2) gives the instantaneous speed.

  The arrival time tAin and the passage time tAout of the starting point A may take any values as long as tA1in ≦ tAin ≦ tA2in and tA1out ≦ tAout ≦ tA2out are satisfied. The instantaneous speed of the moving body 202 is defined as Vaout.

  The inter-sensor distance L [m] is assumed to be longer than the assumed maximum vehicle length. The maximum vehicle length is determined from the condition that the position of the vehicle in the lateral direction with respect to the track does not exceed the vehicle limit when passing through a curve having the smallest turning radius of the track on which the railway vehicle runs. Usually in Japan, it is 25 [m] -30 [m].

  In FIG. 2, the sensor A1 and the sensor A2 are disposed at the position A on the front side of the moving body 202 in the traveling direction, but the sensor B1 and the sensor B2 may be disposed at the position B. Hereinafter, a method for estimating the range of the moving body length X [m] of the moving body 202 by the moving body length measuring apparatus 201 will be described.

  FIG. 3 is a graph showing the relationship between the speed change of the moving body 202 and the moving body length. A graph 301 is a graph in which time is plotted on the horizontal axis and speed is plotted on the vertical axis, and a curve 302 represents a speed change of the moving body 202. The moving body length X [m] is equal to a value obtained by integrating the speed change 302 from time tAin to time tAout or from time tBin to time tBout on the graph 301. On the graph 301, the inter-sensor distance L [m] is equal to a value obtained by integrating the speed change 302 from the time tAin to the time tBin or from the time tAout to the time tBout. That is, the distance L−X [m] is equal to a value obtained by integrating the speed change 302 from the time tAout to the time tBin.

  Although the speed change 302 of the moving body 202 cannot be directly measured, the instantaneous speed at the time tAin and the time tAout can be measured by (Equation 1) and (Equation 2), and (tAin, Vain) on the graph 301, respectively. , (TAout, Vaout). At this time, the maximum value and the minimum value that can be assumed for the integration of the speed change 302 exist as curves 303 and 304, respectively. Both the maximum length curve 303 and the minimum length curve 304 are (tAin, Vain), (tAout, Vaout). Passing through is a constraint.

FIG. 4 is a graph showing a method for calculating the maximum length curve 303 and the minimum length curve 304 of the moving body 202. It is assumed that the maximum acceleration α (α> 0), the maximum deceleration −β (β> 0), and the maximum speed Vmax are given as preconditions. Here, when the type of vehicle to be measured is known in advance, the specification values α, β, and Vmax of the vehicle are used. When the type of vehicle is not known, the maximum α, β of the vehicle that can be assumed. Vmax is used. First, a method for deriving the maximum length curve 303 in the interval [tAin, tAout] will be considered. Considering the passage of the constraint conditions (tAin, Vain) shown in FIG. 3 and considering that the maximum length is obtained when the speed is the largest, the equation for the speed change 302v (t) at time t that satisfies this condition is the maximum. Since it is the speed when accelerating at the acceleration α, it is expressed as the following (formula 3).

Further, in order to satisfy the passing of the constraint conditions (tAout, Vaout), it is the speed when the vehicle is similarly decelerated with the maximum deceleration −β, and therefore is expressed as the following (Equation 4).

を満たす必要がある。よってv(t)は（式３）（式４）（式５）を全て同時に満たしている必要があるため、これを条件式にすると以下（式６）として表される。

On the other hand,

It is necessary to satisfy. Therefore, since v (t) needs to satisfy (Equation 3), (Equation 4), and (Equation 5) at the same time, it is expressed as (Equation 6) below as a conditional expression.

  In (Expression 6), Min () is a function that selects the smallest one in (). The maximum length curve 303 (where [tAin, tAout]) in FIG. 4 represents the right side of (Expression 6) on the graph.

Similarly, a method for deriving the minimum length curve 304 will be considered. Considering that the minimum value of the constraint condition and the speed is 0 (= stop), the conditional expression of the minimum length can be expressed by the following (Expression 7).

In (Expression 7), Max () is a function that selects the largest one among (). The left side of (Expression 7) on the graph is the minimum length curve 304 ([tAin, tAout]) in FIG. When both sides of (Expression 6) and (Expression 7) are integrated in the interval [tAin, tAout], the range of the moving body length X [m] is as follows (Expression 8).

Consider a case where tAout is sufficiently large, the maximum length curve 303 includes v = Vmax, and the minimum length curve 304 includes v = 0. At this time, assuming that the areas of the region 405, the region 406, the region 407, and the region 408 shown in the graph 401 are S_405, S_406, S_407, and S408, respectively, the results are as follows.

At this time, (Equation 8) becomes (Equation 10) below.

Here, a case is considered in which after the head of the moving body 202 passes through the point A, the tail does not pass through the point A and stops for T seconds. FIG. 5 shows a graph showing a method for calculating the maximum length and the minimum length of the moving body 202 at this time. As shown in the graph 502 of FIG. 5, only tAout is T-added when stopped, and the range of the moving body length at this time is shown in (Equation 11).

  Comparing (Equation 11) and (Equation 10), although the minimum value X_AMIN does not change, the maximum value X_AMAX is increased by Vmax · T corresponding to the stop time. This means that the maximum value X_AMAX increases as the stop time increases, and the possible value of the result X also increases. Although the length of the moving body length X is actually the same as in (Equation 10) and (Equation 11), the increase in the range means that the estimation accuracy of the moving body length X is deteriorated at the time of stopping. ing. That is, in the method of measuring the moving body length using the sensors A1 and A2 at one point, the estimation accuracy is deteriorated when the moving body 202 stops at the point A.

Returning to FIG. 3 again, a method for deriving the maximum length curve 303 and the minimum length curve 304 during the interval [tAout, tBin] will be considered as a method of using the sensor B as the third object detection sensor. Considering the passing of the constraint conditions (tAout, Vaout) and considering that the maximum length is the maximum when the speed is the maximum, the formula of the speed change 302v (t) at time t that satisfies this condition is accelerated at the maximum acceleration α. Therefore, it is expressed as (Equation 12) below.

On the other hand, since it is necessary to satisfy v (t) ≦ Vmax, when this is used as a conditional expression, it is expressed as (Expression 13) below.

Similarly, a method for deriving the minimum length curve 304 will be considered. Considering that the minimum value of the constraint condition and the speed is 0 (= stop), the conditional expression of the minimum length can be expressed by the following (Expression 14).

When both sides of (Expression 13) and (Expression 14) are integrated in the interval [tAout, tBin], the range of the movement distance L−X [m] of the moving body 202 in [tAout, tBin] is as follows (Expression 15).

When (Expression 15) is transformed and expressed as an expression of the moving body length X [m], the following (Expression 16) is obtained.

  Here, attention is paid to L−L_X_MIN which is the maximum value side of X in (Expression 16). When the difference between tBin and tAout is small, L_X_MIN is also small and approaches zero. However, at this time, L_X_MAX also approaches 0 because the integration interval becomes small. As a result, when the difference between tBin and tAout is small, the range that X can take is reduced by (Equation 16), and the moving body length X can be estimated with high accuracy.

  On the other hand, consider the case where the difference between tBin and tAout is large. When the inter-sensor distance L is greater than X, (Equation 15) is satisfied and deformed to (Equation 16) as described above. Here, the case where the distance L between sensors is smaller than X is considered. FIG. 9 shows the train speed change at this time. FIG. 9 is a graph in which time 901 is plotted on the horizontal axis and speed is plotted on the vertical axis, as in FIG. 3, and a curve 902 represents the speed change of the moving body 202. The moving body length X [m] is equal to the value obtained by integrating the speed change 902 from time tAin to time tAout or from time tBin to time tBout on the graph 901 as in FIG.

Similarly to FIG. 3, the inter-sensor distance L [m] is also equal to a value obtained by integrating the speed change 902 from time tAin to time tBin or from time tAout to time tBout on the graph 901. The difference from FIG. 3 is that the order of tBin and tAout has changed, that is, the distance XL [m] is equal to the value obtained by integrating the speed change 902 from time tBin to time tAout. At this time, assuming that the maximum value and the minimum value of the integration of the speed change 902 are the same as those in the case of FIG. 3, since the positional relationship between tAin and tAout does not change, (Formula 8) is similarly established. On the other hand, the range of X−L [m] can be expressed by the following (formula 17).

When (Expression 17) is transformed and expressed as an expression of the moving body length X [m], the following (Expression 18) is obtained.

Here, the maximum value side of (Equation 18) will be considered. When the difference between tBin and tAout is large, L_X_MAX ″ simply increases as shown in the integral equation (Equation 17), and the maximum value has no upper limit. On the other hand, in (Expression 16), L_X_MIN is the distance when the vehicle is decelerated from (tAout, Vaout) to the speed 0 with the maximum deceleration, and the magnitude is fixed to Vaout ² / 2β. Therefore, no matter how large the difference between tBin and tAout is, the maximum value of X takes a constant value smaller than L, and the accuracy does not deteriorate by increasing tBin and tAout.

  Physically considering the difference between (Equation 18) and (Equation 16), in (Equation 18), if the difference between tBin and tAout is large, it means that it cannot be distinguished whether it is a stop or the length of the moving body is long. To do. On the other hand, in the case of (Expression 16), it is assumed that the distance between the sensors is larger than the length of the moving body. Therefore, when the difference between tBin and tAout is large, it can be determined that the vehicle is stopped.

  As described above, since the distance between the sensors is larger than the moving body length, the moving body length X can be estimated by calculating the maximum value with the upper limit even when stopped as expressed in (Equation 16). I understood it. Finally, a range that satisfies the two conditional expressions (Formula 8) and (Formula 16) at the same time is obtained as the range of the moving body length X. That is,

Minimum value of moving body length X = Max (X_AMIN, L−L_X_MAX)
Maximum value of moving body length X = Min (X_AMAX, L−L_X_MIN).

  Even if the distance between the sensors is smaller than the moving body length, if the difference between tBin and tAout is small, both L_X_MIN ″ and L_X_MAX ″ in (Expression 18) approach 0 (according to the integral expression of (Expression 17)). Therefore, the estimation error of the moving body length X is reduced. That is, by using the third object detection sensor, the range of the moving body length X can be narrowed down as a range that satisfies the two conditional expressions (Expression 8) and (Expression 18) simultaneously. That is,

Minimum value of moving body length X = Max (X_AMIN, L_X_MIN '' + L)
Maximum value of moving body length X = Min (X_AMAX, L_X_MAX ″ + L).

  The mobile body length measuring apparatus 201 may uniquely output not only the minimum value and the maximum value of the mobile body length X but also the mobile body length included in the range from the minimum value to the maximum value as the mobile body length. For example, by outputting the maximum value as the moving body length, the external system recognizes the occupied area of the vehicle larger, and does not work in the occupied area of the vehicle, and controls field devices such as a switch It is possible to make a judgment on the safer side, such as not having it.

  FIG. 6 is a second embodiment of the moving body length measuring apparatus 601 of the present invention. Reference numeral 601 denotes a moving body length measuring device, and 202 denotes a moving body that is a moving body length measurement target. Sensor A1, sensor A2, sensor B1, and sensor B2 are arranged in this order from the front side with respect to the traveling direction of the moving body 202, and sensor A1, The distance between sensors A2 is l1 [m], the distance between sensors A2 and B1 is L [m], the distance between sensors B1 and B2 is l2 [m], and the desired moving body length is X [m]. As in the first embodiment, the inter-sensor distances l1, l2 [m] are sufficiently short, and the instantaneous speeds at arrival and passage at the start point A and the end point B are obtained in the same manner as in the method described in the first embodiment.

  A graph 602 is a graph showing the relationship between the speed change of the moving body 202 and the moving body length. A graph 602 is a graph with time on the horizontal axis and speed on the vertical axis. The arrival time at the start point A, the passage time, the arrival time at the end point B, the time at each passage time, and the instantaneous speed are on the speed change 302. The points can be expressed as (tAin, Vain), (tAout, Vaout), (tBin, Vbin), (tBout, Vbout). Further, the maximum value and the minimum value that can be assumed for the integration of the speed change exist as curves 604 and 605, respectively, and the maximum length curve 604 and the minimum length curve 605 are both (tAin, Vain), (tAout, Vaout). , (TBin, Vbin) and (tBout, Vbout) are the constraint conditions.

  At this time, in the same manner as in the first embodiment, in the case where the maximum acceleration α (α> 0), the maximum deceleration −β (β> 0), and the maximum velocity Vmax are given, the conditional expression of the range that the moving body length X satisfies think of.

At the point A, (Equation 8) is established exactly as in the first embodiment. Since a constraint condition that passes through (tBin, Vbin) is newly added between the points A and B, (Expression 13) and (Expression 14) are replaced with the following (Expression 19) and (Expression 20).

When both sides of (Expression 19) and (Expression 20) are integrated in the interval [tAout, tBin], the range of the movement distance L−X [m] of the moving body 202 in [tAout, tBin] is as follows (Expression 21).

When (Expression 21) is transformed and expressed as an expression of the moving body length X [m], the following (Expression 22) is obtained.

  Since (Equation 22) is added with a constraint that passes (tBin, Vbin) compared to (Equation 16), it can be estimated in a narrower range than (Equation 16).

Since the instantaneous speed can be calculated at the point B, the following (Equation 23) is established as in the first embodiment.

  As described above, by adding an object detection sensor to the point B, the condition of (Expression 16) becomes a narrow range as shown in (Expression 22), and (Expression 23) is added as a conditional expression. Eventually, a range that satisfies the two conditional expressions (Formula 8), (Formula 22), and (Formula 23) at the same time is obtained as the range of the moving body length X. That is,

Minimum value of moving body length X = Max (X_AMIN, L−L_X_MAX ', X_BMIN)
Maximum value of the moving body length X = Min (X_AMAX, L−L_X_MIN ′, X_BMAX).

  By increasing the conditional expressions as compared with the first embodiment, the range of the moving body length X can be further narrowed down. The mobile body length measuring device 601 may uniquely output not only the minimum value and the maximum value of the mobile body length X but also the mobile body length included in the range from the minimum value to the maximum value as the mobile body length.

  By increasing the number of object detection sensors, the conditional expressions are further increased, and the measurement result of the moving body length at the point with the highest accuracy can be used.

  FIG. 7 shows an example of an operation management system 701 using the moving body length measuring device 703 shown in the first embodiment or the second embodiment. Reference numeral 701 denotes an operation management system, reference numeral 702 denotes a train that is a train length measurement target, reference numeral 703 denotes a moving body length measurement device, reference numeral 704 denotes a train length measurement device, reference numeral 705 denotes field equipment, and reference numeral 706 denotes an interlocking device. The moving body length measuring device 703 measures the vehicle length for each vehicle constituting the train 702.

  The train length measuring device 704 regards the vehicle length received from the moving body length measuring device 703 within a certain time interval, or the range of the vehicle length as one train 702, and the distance between the vehicles within the vehicle length or the vehicle length range. Estimate the train length or the train length range by adding a certain value (for example, 1 [m]). The operation management device 707 of the operation management system 701 determines the existing section of the train 702 from the train length and the position of the train 702 received from the train length measurement device 704 or the estimated position on the course of the train. Here, the position of the train can also be grasped by arranging the moving body length measuring devices 703 at a plurality of locations. An instruction is given to the on-site equipment 705 via the interlocking device 706 based on the determined on-track section of the train, for example, changing the display of the traffic light, opening / closing the crossing, and controlling the switch.

  FIG. 8 shows a screen example in the operation management system 701. In the screen 801, 802 is a train, 803 is a track wiring diagram, and 804 is an example of a display message. The train 802 displays the traveling direction and the train length obtained by the moving body length measuring device 703 and the train length measuring device 704 on the screen 801. Moreover, since the presence or absence of the train 802 at each point on the track wiring diagram 803 is known from the estimation result of the train length, it is also possible to display a control instruction message in the section where the train 802 exists like a display message 804. .

DESCRIPTION OF SYMBOLS 201 Mobile body length measuring device 202 Mobile body 301 Graph 302 Speed change 303 Maximum length curve 304 Minimum length curve 401 Graph 405 Region 406 Region 407 Region 408 Region 502 Graph 601 Moving body length measurement device 602 Graph 604 Maximum length curve 605 Minimum length curve 701 Train Operation management system 702 Train 703 Moving body length measuring device 704 Train length measuring device 705 Field equipment 706 Interlocking device 707 Operation management device 801 Screen 802 Train 803 Line wiring diagram 804 Display message 901 Graph 902 Speed change 903 Minimum length curve 904 Maximum length curve

Claims (3)

There are at least three object detection sensors at the side of the moving direction of the moving body, and the distances between the sensor installation positions of the object detection sensors are different from each other, and are arranged to be two large and small distances,
The distance between the object detection sensors having a smaller distance between the sensor installation positions is between the arrival time of one object detection sensor and the arrival time of the other object detection sensor, and the detection of the other object from the passing time of one object detection sensor. The distance is such that the movement of the moving body between the sensor passage times can be regarded as a constant speed, and is smaller than the assumed minimum length of the moving body,
Furthermore, the distance between the object detection sensors with the larger distance between the sensor installation positions is longer than the maximum assumed moving body length,
A moving body length measuring apparatus, wherein the object detection sensor detects an arrival time and a passing time of the moving body to estimate a minimum value and a maximum value of the moving body length. Estimate the instantaneous speed when entering or exiting the detection section of the object detection sensor or the average speed during traveling in the detection section, and at least one of the instantaneous speed, the average speed, the maximum acceleration, the maximum deceleration, and the maximum speed The mobile body length measuring apparatus according to claim 1, wherein a minimum value and a maximum value of the mobile body length are estimated by using. A display means for displaying a train existing section on a screen using the estimated train length, comprising the train length measuring device for estimating a train length using the mobile body length measuring device according to claim 1 or 2, or the train A train operation management system comprising a control determining means for determining an existing section and controlling field equipment .

Images