Method and device for calculating trafficability of line under operation of heavy haul railway train group

Abstract

The invention provides a method and device for calculating the trafficability of a line under the operation of a heavy haul railway train group, and relates to the technical field of train group analysis, and the method comprises the steps: calculating an interval time parameter under the operation of the train group; drawing a train interval working diagram; constructing a single-line working diagram cycle model based on the train interval working diagram and the interval time parameters; constructing a train group tracking model of the double-track heavy haul railway under train group operation based on the interval time parameters; linearizing and then solving the single-line working diagram cycle model to obtain a minimum limit interval working diagram cycle, and calculating the trafficability of the single-line heavy haul railway line under the operation of the train group based on the minimum limit interval working diagram cycle; and according to the train group tracking model, calculating the trafficability of the double-track heavy haul railway at different stages under the train group operation. The method solves the problem that in an existing line trafficability calculation method, the particularity of a group operation organization method is not considered, and the method is not suitable for capacity calculation under group operation.

Description

Technical Field

[0001] The present invention relates to the technical field of train group analysis, and in particular to a method and device for calculating line throughput capacity when a heavy-load railway train group is running. Background Art

[0002] With the improvement of national economic level, heavy-haul railway, as an important mode of transporting energy and materials, faces great demand for capacity improvement. The research and development of group operation control system has initially established theoretical support and technical conditions for heavy-haul railway to improve its transport capacity in terms of infrastructure equipment and transport organization. However, due to the significant difference between group operation control system and conventional signal control system, the characterization and calculation of the capacity of single-track and double-track heavy-haul railway lines under group operation need further exploration.

[0003] The existing line capacity calculation method does not take into account the particularity of the group operation organization method, lacks the capacity calculation method under group operation, and lacks the calibration of the relevant parameters required for the calculation. Summary of the invention

[0004] The purpose of the present invention is to provide a method and device for calculating the line capacity of a heavy-load railway train group to improve the above problem. In order to achieve the above purpose, the technical solution adopted by the present invention is as follows:

[0005] In a first aspect, the present application provides a method for calculating the line throughput capacity of a heavy-load railway train group, comprising:

[0006] Calculate the interval time parameters of the train group operation based on the train information, wherein the interval time parameters include station interval time parameters, inter-group tracking interval time parameters and intra-group tracking interval time parameters;

[0007] Based on the train giving way at the station, the running line of the single-line heavy-load railway section under the train group operation is drawn to obtain the train section operation diagram;

[0008] Based on the train interval operation diagram, the station interval time parameter and the intra-group tracking interval time parameter, a single-line operation diagram cycle model is constructed, wherein the objective function of the single-line operation diagram cycle model is to minimize the restricted interval operation diagram cycle;

[0009] Based on the inter-group tracking interval time parameter, a train group tracking model for double-track heavy-haul railway under train group operation is constructed;

[0010] The single-line operation diagram cycle model is linearized and then solved to obtain a minimum restricted interval operation diagram cycle, and the single-line heavy-load railway line capacity under train group operation is calculated based on the minimum restricted interval operation diagram cycle;

[0011] The double-track heavy-haul railway throughput capacity at different stages of train group operation is calculated according to the train group tracking model.

[0012] In a second aspect, the present application also provides a method and device for calculating the line throughput capacity of a heavy-load railway train group, comprising:

[0013] An acquisition module, used for calculating the interval time parameters of the train group operation based on the train information, wherein the interval time parameters include the station interval time parameter, the inter-group tracking interval time parameter and the intra-group tracking interval time parameter;

[0014] A drawing module is used to draw the running line of the single-line heavy-load railway section under the operation of the train group based on the train giving way at the station, and obtain the train section operation diagram;

[0015] A first construction module is used to construct a single-line operation diagram cycle model based on the train interval operation diagram, the station interval time parameter and the intra-group tracking interval time parameter, wherein the objective function of the single-line operation diagram cycle model is to minimize the restricted interval operation diagram cycle;

[0016] A second construction module is used to construct a train group tracking model for a double-track heavy-haul railway under train group operation based on the inter-group tracking interval time parameter;

[0017] A first calculation module is used to linearize and solve the single-line operation diagram cycle model to obtain a minimum restricted interval operation diagram cycle, and calculate the single-line heavy-load railway line capacity under train group operation based on the minimum restricted interval operation diagram cycle;

[0018] The second calculation module is used to calculate the double-track heavy-load railway throughput capacity at different stages of train group operation according to the train group tracking model.

[0019] The beneficial effects of the present invention are as follows: by considering the characteristics of transport organization under the operation of train groups, the present invention can provide planning and operation personnel with a simple, fast and accurate evaluation of the theoretical throughput capacity of single and double-track heavy-load railways under the operation of train groups. At the same time, a method for calculating the throughput capacity of a single-track heavy-load railway under the operation of train groups is designed to display the location of the restricted section of the entire line, that is, the location of the capacity bottleneck, which is convenient for the design of transport organization methods, the generation of operation diagrams and the subsequent related planning and adjustments of operators, and a method for calculating the throughput capacity of double-track heavy-load railways under the operation of train groups is provided, which is convenient for operators to evaluate the throughput capacity of double-track heavy-load railway train groups at different stages and find capacity bottlenecks.

[0020] Other features and advantages of the present invention will be described in the following description, and partly become apparent from the description, or be understood by implementing the embodiments of the present invention. The purpose and other advantages of the present invention can be realized and obtained by the structures particularly pointed out in the written description, claims, and drawings. BRIEF DESCRIPTION OF THE DRAWINGS

[0021] In order to more clearly illustrate the technical solutions of the embodiments of the present invention, the drawings required for use in the embodiments are briefly introduced below. It should be understood that the following drawings only show certain embodiments of the present invention and therefore should not be regarded as limiting the scope. For ordinary technicians in this field, other related drawings can be obtained based on these drawings without creative work.

[0022] Figure 1 It is a schematic flow chart of a method for calculating the line capacity of a heavy-load railway train group in operation according to an embodiment of the present invention;

[0023] Figure 2 It is a schematic diagram of the up and down trains letting go without technical operations at the station in an embodiment of the present invention;

[0024] Figure 3 It is a train section operation diagram in an embodiment of the present invention;

[0025] Figure 4 It is a schematic diagram of the structure of a device for calculating the line throughput capacity of a heavy-load railway train group in operation according to an embodiment of the present invention. DETAILED DESCRIPTION

[0026] In order to make the purpose, technical solutions and advantages of the embodiments of the present invention clearer, the technical solutions in the embodiments of the present invention will be clearly and completely described below in conjunction with the drawings in the embodiments of the present invention. Obviously, the described embodiments are part of the embodiments of the present invention, rather than all of the embodiments. The components of the embodiments of the present invention generally described and shown in the drawings here can be arranged and designed in various different configurations. Therefore, the following detailed description of the embodiments of the present invention provided in the drawings is not intended to limit the scope of the claimed invention, but merely represents selected embodiments of the present invention. Based on the embodiments in the present invention, all other embodiments obtained by ordinary technicians in this field without making creative work are within the scope of protection of the present invention.

[0027] It should be noted that similar reference numerals and letters represent similar items in the following drawings, so once an item is defined in one drawing, it does not need to be further defined and explained in the subsequent drawings. At the same time, in the description of the present invention, the terms "first", "second", etc. are only used to distinguish the description and cannot be understood as indicating or implying relative importance.

[0028] Embodiment 1:

[0029] This embodiment provides a method for calculating the line capacity of a heavy-load railway train group.

[0030] See also Figure 1 , the figure shows that the method includes step S100, step S200, step S300, step S400, step S500, and step S600.

[0031] Step S100: calculating the interval time parameters of the train group operation based on the train information, wherein the interval time parameters include the station interval time parameter, the inter-group tracking interval time parameter and the intra-group tracking interval time parameter;

[0032] The step S100 includes:

[0033] Step S101: Acquire train information, the train information includes first information and second information, the first information includes the time required for the oncoming train to pass the station distance, the time for the subsequent oncoming train to pass after the first arriving train completely enters the track, and the meeting interval time, the second information includes intra-group parameters and inter-group parameters;

[0034] Step S102: Calculating station interval time parameters based on the first information, the station interval time parameters including the time when the following trains in group operation do not arrive at the same time and the meeting time between the following trains in group operation;

[0035] In this embodiment, for a single-track heavy-load railway, considering that the group operation mode mainly involves trains letting each other operate, in which the trains in the group operation do not arrive at the same time The expression is:

[0036]

[0037] Where, L out Indicates the running distance of subsequent oncoming trains outside the station, L enter represents the distance traveled by the train entering the station, I represents the tracking interval of the trains in the group, n represents the number of trains in the single-line group, and t 作业 It indicates the time for the subsequent oncoming train to pass after the first arriving train completely enters the track, τ 不 Indicates the time interval between simultaneous arrivals.

[0038] In this embodiment, the meeting interval time τ 会It is the minimum interval time from when a train passes or arrives at a station to when the station sends another train in the same direction to the original section, including the time for the following train to depart after the preceding train has completely entered the station track. Similarly, for group trains, it should be the time for the following train to depart after the last train in the formation has completely entered the track, which is the same as the current situation. Therefore, the interval time for trains meeting in group operation is Equal to the meeting time τ 会 ,Right now

[0039] Step S103: Calculate the inter-group tracking interval parameters and the intra-group tracking interval parameters based on the second information, wherein the inter-group tracking interval parameters include the inter-group interval tracking interval, the inter-group departure tracking interval and the inter-group arrival tracking interval, and the intra-group tracking interval parameters include the intra-group interval tracking interval, the intra-group departure tracking interval and the intra-group arrival tracking interval.

[0040] In this embodiment, the calculation formula for the tracking interval within the group is:

[0041]

[0042] In the formula, Indicates the interval tracking time within the group, Indicates the train tracking distance in group mode, v Bmax Indicates the maximum speed of the following vehicle in the interval.

[0043] The calculation formula for the interval tracking time between groups is:

[0044]

[0045] In the formula, It represents the interval time between groups. It indicates the interval tracking time under the existing blocking mode. It represents the interval time for the jth train in the train group to track the preceding train in the group, L 列,j represents the length of the jth train in the train group, n represents the number of trains in the single-line group, v 追 Indicates the average speed of the train section tracking operation.

[0046] The calculation formula for the departure interval within a group is:

[0047]

[0048] In the formula, represents the departure interval within the group, t 转 Indicates the turnout switching time, t 安represents the safety margin time of adjacent trains in a train group, n h represents the number of trains parked on the hth track, L 列 represents the length of the train, v 发 Indicates the average departure speed of the train, L A (h, k) represents the distance from the kth train on the hth track to point A, Q represents the first applicable parameter, Q=0 represents the departure tracking situation within the group when the trains depart from different tracks, and Q=1 represents the departure tracking situation within the group when the trains depart from the same track.

[0049] Among them, when calculating the departure tracking interval time within the group, there is point A. When the train departs from different tracks, point A is the starting point of the repeated route in the departure routes of different tracks. When the train departs from the same track, point A is the end point of the short route protected by the exit signal.

[0050] The calculation formula for the interval between group departure and tracking is:

[0051]

[0052] In the formula, Indicates the interval between the departure and tracking of groups. represents the departure interval of the jth train in the train group, Indicates the departure interval of trains under existing block mode.

[0053] The calculation formula for the inter-group arrival time is:

[0054]

[0055] In the formula, represents the intra-group arrival interval of the jth train in the train group, t 转 Indicates the turnout switching time, t 安 represents the safety margin time of adjacent trains in a train group, L AB Represents the distance between point A and point B, L 列 represents the length of the train, v j represents the average arrival speed of the jth train, v j+1 represents the average arrival speed of the j+1th train, L A,j+1 represents the monitoring distance of the j+1th train with point A as the target point, Q' represents the second applicable parameter, Q'=0 represents the arrival tracking situation within the group when accessing different tracks, and Q'=1 represents the arrival tracking situation within the group when accessing the same track.

[0056] Among them, when calculating the arrival tracking interval within the group, there are two key position points A and B. When the train accesses different tracks, point A is the end point of the repeated route in the different track receiving route, and point B is the first key switch end point after the end point of the repeated route in the different track receiving route. When the train accesses the same track, point A and point B are both track reverse exit signals.

[0057] The calculation formula for the inter-group arrival tracking interval is:

[0058]

[0059] In the formula, It indicates the interval time between group arrival tracking. represents the arrival interval of the jth train in the train group, Indicates the arrival interval of trains under the existing block mode.

[0060] In this embodiment, before drawing the train section operation diagram, the prerequisites are first set, including: since the theoretical maximum throughput capacity is calculated, it is assumed that the trains always maintain a group state and run at the maximum allowable speed after running smoothly in the section; considering the balance of the train set, it is assumed that the trains run in pairs; it is assumed that the setting of unit trains in the train group is fixed, and the size of the group on the entire line is uniform; according to the actual situation, it is stipulated that when the train stops at the station, only one train is parked on each arrival and departure line; considering the train group operation principle and actual operation situation, it is stipulated that the total length of a train group is less than the length of any section of the line; considering the limit on the number of arrival and departure lines of the station, the number of arrival and departure lines of the station on the single-track railway is not less than twice the size of the train group; stations that do not meet the conditions are passed through.

[0061] At the same time, in order to facilitate the description of the train giving way at the station, taking 2 train groups as an example, a detailed analysis is conducted on the various situations of technical operations and giving way operations performed by trains at the station. According to whether the train is performing technical operations at the station and the type of station it is located in, it can be divided into 4 types with a total of 8 situations. The 4 types are: up and down trains giving way without technical operations at the station, up or down trains giving way with technical operations at the station, up and down trains both giving way with technical operations at the station, and giving way at the end of the section. Figure 2 The diagram shown is a schematic diagram of two situations in which there will be no technical operations on the up and down trains at the station.

[0062] Step S200: based on the train giving way at the station, draw the running line of the single-line heavy-load railway section under the train group operation to obtain the train section running diagram;

[0063] In this embodiment, a train section operation diagram is drawn for various train giving way at stations.

[0064] Step S300: constructing a single-line operation diagram cycle model based on the train interval operation diagram, the station interval time parameter and the intra-group tracking interval time parameter, wherein the objective function of the single-line operation diagram cycle model is to minimize the restricted interval operation diagram cycle;

[0065] For any section, the section running line layout is shown as follows: Figure 3 As shown in the figure, the train interval operation diagram is obtained. From the figure, it can be found that the operation diagram period T of any interval (i, i+1) i,i+1 The elements included are fixed, including the pure running time of the up and down train sections, the station interval time between two adjacent stations, the tracking interval time of the single-line section and the additional train time between two adjacent stations. At the same time, the specific elements included in the operation diagram cycle are related to the way trains at the two stations before and after the section give way at the station.

[0066] In this embodiment, the operation diagram period T of the interval (i, i+1) i,i+1 It can be expressed as:

[0067]

[0068] In the formula, Indicates the pure running time of the up train section, It indicates the pure running time of down train section. It indicates the interval time between stations of down trains including station i in the cycle time. Indicates the interval time between the up trains including the i+1 station in the cycle time, I i Indicates the single-line interval tracking interval included in the cycle time. It indicates the additional time for the train to depart from station i included in the down train in the cycle time. Indicates the additional time for the train to stop at the i+1 station included in the up train in the cycle time.

[0069] Based on the above, introduce the 0-1 variable x i , d i and a i , let m be the total number of stations in the studied section, M be the set of stations in the studied section, where x i Indicates the way that up and down trains give way at station i, x i = 0 means that the up train will give way to the down train at station i, x i =1 means that the down train will give way to the up train at station i, Indicates the operation status of the up train at station i. Indicates the operation status of the down train at station i. and When the value is 1 or 0, it means that there is technical operation or no technical operation on the up and down trains at station i, respectively. i represents the additional time for the departure of station i, a i Indicates the additional parking time of station i. Through the above variables, each element in the general formula of the interval operation diagram cycle can be uniformly expressed according to the rules.

[0070] The step S300 includes:

[0071] Step S301: Calculate the station interval time between two adjacent stations and the single-track section tracking interval time based on the train giving way mode at the station, the station interval time parameter and the intra-group tracking interval time parameter;

[0072] Step S302: Calculate the additional time minutes of trains at two adjacent stations based on the additional time minutes for departure and additional time minutes for stop at the station;

[0073] In this embodiment, the station interval time between two adjacent stations includes and Additional time for trains between two adjacent stations includes and Among them, the calculation formulas for the station interval time between two adjacent stations, the single-line section tracking interval time and the train additional time between two adjacent stations are:

[0074]

[0075]

[0076] In the formula, It indicates the interval time between stations of down trains including station i in the cycle time. Indicates the interval time between the up trains including the i+1 station in the cycle time, I i Indicates the single-line interval tracking interval included in the cycle time, x i Indicates the way that up and down trains give way at station i, x i+1 Indicates the way the up and down trains will give way at station i+1. Indicates the interval time between the following trains in the group operation. Indicates that the following trains in the group run at different times. Indicates the operation status of the up train at station i. represents the operation status of the down train at station i, m represents the total number of stations included in the studied section, Indicates the interval tracking time within the group, Indicates the departure interval time within the group. represents the arrival interval time within the group, n represents the number of trains in the single-line group, Indicates the operation status of the up train at station i+1. represents the operation status of the down train at station i+1, λ i represents the arrival interval of up and down trains at station i, λ i+1 It indicates the arrival interval of up and down trains at station i+1. It indicates the additional time for the train to depart from station i included in the down train in the cycle time. Indicates the additional time for the train to stop at the i+1 station included in the cycle time, d i represents the additional time for the departure of station i, a i represents the additional parking time at station i, d i+1 represents the additional time for the departure of the train at station i+1, a i+1 represents the additional parking time at station i+1, It indicates the technical operation time of the down train at station i. Indicates the technical operation time of the up train at the i+1 station.

[0077] Step S303: Calculate the operation diagram cycle of any section of the train section operation diagram based on the pure operation time of the up and down train sections, the station interval time between the two adjacent stations, the tracking interval time of the single-line section and the additional train time between the two adjacent stations;

[0078] In this embodiment, the calculation formula of each element is substituted to obtain the operation diagram cycle.

[0079] Step S304: construct a single-line operation diagram cycle model based on the operation diagram cycles of all sections, and set constraint conditions of the single-line operation diagram cycle model.

[0080] In this embodiment, the goal of the single-line operation diagram cycle model is to find the minimum restricted interval operation diagram cycle of the entire line, so the objective function is set as:

[0081]

[0082] Where, T i,i+1 represents the operation diagram period of the interval (i, i+1), M represents the set of stations included in the studied section, max{·} represents the maximum value, and min represents the minimum value.

[0083] In step S304, setting the constraint conditions of the single-line operation diagram cycle model includes:

[0084] Step A100: constructing a station interval time constraint based on the arrival interval of up and down trains, the station interval time parameter and the intra-group tracking interval time parameter;

[0085] In this embodiment, when there is a technical operation, the interval between the up and down trains at least meets the time requirement of the basic station for the operation, and considering the actual operation on site, the interval between the up and down trains at the station is an integer, and the expression of the station interval time constraint is:

[0086]

[0087] In the formula, λ i It indicates the arrival interval of up and down trains at station i. Indicates the interval time between the following trains in the group operation. Indicates that the following trains in the group have different arrival times. and Respectively represent the technical operation time of up and down trains at station i, Indicates the operation status of the up train at station i. Indicates the operation status of the down train at station i. Indicates the interval tracking time within the group, Indicates the departure interval time within the group. represents the arrival interval time within the group, n represents the number of trains in the single-line group, x i Indicates the way that up and down trains give way at station i, Z + represents a positive integer, and M represents the set of sites included in the studied segment.

[0088] Step A200: constructing a constraint on the number of arrival and departure lines according to the number of trains in the single-line group;

[0089] In this embodiment, for single-track railways, the number of trains that can be grouped is limited by the number of arrival and departure lines at each station. For stations where both up and down trains are operating at the station, it should be ensured that the total number of up and down stops is not greater than the number of arrival and departure lines at the station. For stations where only one direction of trains will be stopped or there are technical operations at the station, it should be ensured that the number of trains in a single-track group in a single direction is not greater than the number of arrival and departure lines at the station. Therefore, the expression for the number of arrival and departure lines constraint is:

[0090]

[0091] Where n represents the number of trains in a single-line group, l i represents the number of departure and arrival lines at station i, Indicates the operation status of the up train at station i. represents the operation status of the down train at station i, Z + represents a positive integer, and M represents the set of sites included in the studied segment.

[0092] Step A300: constructing a yielding mode constraint based on the operation status of up and down trains at the station and the yielding mode of trains at the station;

[0093] In this embodiment, combined with the actual operation situation, considering the rationality of the on-site operation arrangement, there should not be a situation where the down-line non-technical operation train will let the up-line technical operation train or the up-line non-technical operation train will let the down-line technical operation train. Therefore, the expression of the letting mode constraint is:

[0094]

[0095] In the formula, x i Indicates the way the up and down trains will give way at station i. Indicates the operation status of the up train at station i. It represents the operation status of the down train at station i, and M represents the set of stations included in the studied section.

[0096] Step A400: The station interval time constraint, the arrival and departure line quantity constraint and the passing mode constraint are used together as constraint conditions of the single-line operation diagram cycle model.

[0097] Step S400: constructing a train group tracking model for double-track heavy-haul railway under train group operation based on the inter-group tracking interval time parameter;

[0098] In this embodiment, the tracking process of double-track heavy-duty railway is relatively simpler when the train group is running. The train group is tracked according to the group-related rules and is not affected by the line block mode. The train groups are tracked according to the signal rules of the original line block mode, and each train group is regarded as a whole.

[0099] Therefore, for double-track heavy-load railways, there is no need to consider the station interval time parameters, but the inter-group interval tracking interval time, inter-group departure tracking interval time and inter-group arrival tracking interval time under different line blocking modes need to be considered.

[0100] In this embodiment, the calculation of the theoretical maximum capacity under the operation of train groups is to be studied. Therefore, the actual situation and project goals are taken into consideration here. When calculating the passing capacity of the double-track heavy-load railway line under the operation of train groups, certain assumptions are first set, including: assuming that the setting of unit trains in the train group is fixed; not considering train overtaking; according to the actual situation, it is stipulated that when the train stops at the station, only one train is parked on each arrival and departure line; considering the operation principle and actual operation of the train group, it is stipulated that the total length of a train group is less than the length of any section of the line.

[0101] The step S400 includes:

[0102] Step S401: dividing the operation phases of the double-track heavy-haul railway under the operation of the train group, wherein the operation phases include the train group section tracking phase, the train group departure tracking phase, the train group arrival tracking phase and the train group full-line operation phase;

[0103] In this embodiment, when measuring the capacity of the double-track heavy-load railway under the operation of the train group, it is taken into account that the entire operation process of the train group goes through different stages, and the capacity performance under different influencing factors in different stages needs to be analyzed separately. Therefore, the passing capacity of the double-track heavy-load railway line under the operation of the train group is calculated separately in four scenarios.

[0104] Step S402: obtaining double-track parameter information of the double-track heavy-haul railway under the operation of the train group, wherein the double-track parameter information includes the total operation time of the double-track, the double-track skylight time, and the number of trains in the double-track group;

[0105] Step S403: constructing a first formula based on the double-track parameter information and the inter-group interval tracking interval time, wherein the first formula is a calculation formula for the double-track heavy-haul railway throughput capacity in the train group interval tracking stage;

[0106] In this embodiment, during the train group interval tracking stage, each train group is in a stable operating state, and the line capacity depends more on the interval tracking interval between groups.

[0107] Step S404: constructing a second formula based on the double-track parameter information and the inter-group departure tracking interval time, wherein the second formula is a calculation formula for the double-track heavy-haul railway throughput capacity in the train group departure tracking stage;

[0108] In this embodiment, during the train group departure tracking stage, different train groups undergo an on-station departure tracking process. Taking into account the station signal system and related work organization, the departure tracking interval between groups under the operation of the train group is greater than the interval tracking interval between groups.

[0109] Step S405: constructing a third formula based on the double-track parameter information and the inter-group arrival tracking interval time, wherein the third formula is a calculation formula for the double-track heavy-haul railway throughput capacity in the train group arrival tracking stage;

[0110] In this embodiment, when the train group arrives at the tracking stage, different train groups undergo the station arrival tracking process. Considering factors such as the station entry signal system, related work organization, train group disassembly, station entry and driving safety, the arrival tracking interval between groups under the operation of the train group is greater than the departure tracking interval between groups.

[0111] Step S406: selecting the maximum value of the third information, wherein the third information includes the interval tracking time between groups in each interval, the interval tracking time between departures between groups in each interval, and the interval tracking time between arrivals between groups in each interval;

[0112] Step S407: constructing a fourth formula based on the double-track parameter information and the maximum value, wherein the fourth formula is a calculation formula for the double-track heavy-haul railway throughput capacity during the full-line operation stage of the train group;

[0113] In this embodiment, the full-line operation stage of the train group no longer focuses on a certain section or station, but calculates the overall theoretical maximum capacity of the operating line. In order to ensure the normal operation of the train group on the entire line, it is necessary to consider the mutual coordination of the capacities of different links, and select the link with the most strained capacity as the representative of the full-line capacity.

[0114] Step S408: constructing a train group tracking model for double-track heavy-load railway under the operation of train groups through the first formula, the second formula, the third formula and the fourth formula.

[0115] In this embodiment, the expression of the train group tracking model is:

[0116]

[0117] In the formula, and They represent the double-track heavy-haul railway throughput capacity in the train group section tracking stage, train group departure tracking stage, train group arrival tracking stage and train group full-line operation stage respectively. n' represents the number of trains in the double-track group. Indicates rounding down, T' 运营 represents the total operation time of the two lines, T' t Indicates the double-line skylight time, and They represent the interval tracking time between groups, the departure tracking time between groups, and the arrival tracking time between groups, respectively. and They represent the interval tracking time between groups, the interval tracking time between departure groups, and the interval tracking time between arrival groups in the interval (i, i+1), M represents the set of stations included in the studied section, and max{·} represents the maximum value.

[0118] Step S500: linearizing the single-line operation diagram cycle model and solving it to obtain a minimum restricted interval operation diagram cycle, and calculating the single-line heavy-load railway line capacity under train group operation based on the minimum restricted interval operation diagram cycle;

[0119] The step S500 includes:

[0120] Step S501: linearize and solve the single-line operation diagram cycle model to obtain the minimum restricted interval operation diagram cycle;

[0121] In this embodiment, linearization is performed and then solved, which can not only obtain the minimum restricted interval operation diagram cycle, but also obtain the optimal train giving way method for each station on the entire line.

[0122] Step S502: obtaining single-line parameter information of a single-line heavy-load railway line under the operation of a train group, wherein the single-line parameter information includes the total operation time of the single line, the single-line skylight time, and the number of trains in the single-line group;

[0123] Step S503: Based on the single-line parameter information and the minimum restricted interval operation diagram cycle, the single-line heavy-load railway line capacity under the operation of the train group is calculated.

[0124] In this embodiment, the calculation formula for the single-line heavy-load railway line capacity under train group operation is:

[0125]

[0126] In the formula, represents the capacity of a single-line heavy-load railway line under the operation of a train group, n represents the number of trains in the single-line group, T 运营 Represents the total operation time of a single line, T t It represents the single-line skylight time, and T represents the minimum restriction interval operation diagram cycle.

[0127] Step S600: Calculating the double-track heavy-haul railway throughput capacity at different stages of train group operation according to the train group tracking model.

[0128] In summary, the present invention takes into account the characteristics of transport organization under the operation of train groups. The proposed method can provide planners and operators with a simple, fast and accurate evaluation of the theoretical throughput capacity of single-track and double-track heavy-load railways under the operation of train groups. It can display the location of restricted sections of the entire line, that is, the location of capacity bottlenecks, and can also provide the optimal train passing method for each station on the entire line, which is convenient for the design of transport organization methods, the generation of operation diagrams, and the subsequent related planning and adjustments by operators.

[0129] Embodiment 2:

[0130] like Figure 4 As shown, this embodiment provides a device for calculating the line throughput capacity of a heavy-load railway train group, the device comprising:

[0131] An acquisition module, used for calculating the interval time parameters of the train group operation based on the train information, wherein the interval time parameters include the station interval time parameter, the inter-group tracking interval time parameter and the intra-group tracking interval time parameter;

[0132] A drawing module is used to draw the running line of the single-line heavy-load railway section under the operation of the train group based on the train giving way at the station, and obtain the train section operation diagram;

[0133] A first construction module is used to construct a single-line operation diagram cycle model based on the train interval operation diagram, the station interval time parameter and the intra-group tracking interval time parameter, wherein the objective function of the single-line operation diagram cycle model is to minimize the restricted interval operation diagram cycle;

[0134] A second construction module is used to construct a train group tracking model for a double-track heavy-haul railway under train group operation based on the inter-group tracking interval time parameter;

[0135] A first calculation module is used to linearize and solve the single-line operation diagram cycle model to obtain a minimum restricted interval operation diagram cycle, and calculate the single-line heavy-load railway line capacity under train group operation based on the minimum restricted interval operation diagram cycle;

[0136] The second calculation module is used to calculate the double-track heavy-load railway throughput capacity at different stages of train group operation according to the train group tracking model.

[0137] The acquisition module comprises:

[0138] an acquisition unit, configured to acquire train information, wherein the train information includes first information and second information, wherein the first information includes the time required for an oncoming train to pass the station distance, the time required for a first arriving train to complete the track and the time for a subsequent oncoming train to pass, and the meeting interval time, and the second information includes intra-group parameters and inter-group parameters;

[0139] A first calculation unit is used to calculate a station interval time parameter based on the first information, wherein the station interval time parameter includes the time when trains in group operation do not arrive at the same time and the time between trains in group operation and trains meeting each other;

[0140] A second calculation unit is used to calculate the inter-group tracking interval time parameters and the intra-group tracking interval time parameters based on the second information, the inter-group tracking interval time parameters include the inter-group interval tracking interval time, the inter-group departure tracking interval time and the inter-group arrival tracking interval time, and the intra-group tracking interval time parameters include the intra-group interval tracking interval time, the intra-group departure tracking interval time and the intra-group arrival tracking interval time.

[0141] The first building block comprises:

[0142] A third calculation unit is used to calculate the station interval time between two adjacent stations and the single-track section tracking interval time based on the train giving way at the station, the station interval time parameter and the intra-group tracking interval time parameter;

[0143] A fourth calculation unit, used for calculating the additional time minutes of trains at two adjacent stations based on the additional time minutes for departure and the additional time minutes for parking at the stations;

[0144] A fifth calculation unit is used to calculate the operation diagram cycle of any section of the train section operation diagram based on the pure operation time of the up and down train sections, the station interval time of the two adjacent stations, the tracking interval time of the single-line section and the additional train time of the two adjacent stations;

[0145] The first construction unit is used to construct a single-line operation diagram cycle model based on the operation diagram cycles of all intervals and set constraint conditions of the single-line operation diagram cycle model.

[0146] The first building block comprises:

[0147] A second construction unit is used to construct a station interval time constraint based on the arrival interval of up and down trains, the station interval time parameter and the intra-group tracking interval time parameter;

[0148] The third construction unit is used to construct the number constraint of arrival and departure lines according to the number of trains in the single-line group;

[0149] The fourth construction unit is used to construct a yielding mode constraint based on the operation conditions of up and down trains at the station and the yielding mode of trains at the station;

[0150] The fifth construction unit is used to use the station interval time constraint, the arrival and departure line quantity constraint and the letting mode constraint as constraint conditions of the single-line operation diagram cycle model.

[0151] It should be noted that, regarding the device in the above embodiment, the specific manner in which each module performs the operation has been described in detail in the embodiment of the method, and will not be elaborated here.

[0152] The above description is only a preferred embodiment of the present invention and is not intended to limit the present invention. For those skilled in the art, the present invention may have various modifications and variations. Any modification, equivalent replacement, improvement, etc. made within the spirit and principle of the present invention shall be included in the protection scope of the present invention.

[0153] The above is only a specific embodiment of the present invention, but the protection scope of the present invention is not limited thereto. Any person skilled in the art can easily think of changes or substitutions within the technical scope disclosed by the present invention, which should be included in the protection scope of the present invention. Therefore, the protection scope of the present invention should be based on the protection scope of the claims.

Claims

1. A method for calculating the line capacity of a heavy-load railway train group, characterized in that: include: Calculate the interval time parameters of the train group operation based on the train information, wherein the interval time parameters include station interval time parameters, inter-group tracking interval time parameters and intra-group tracking interval time parameters; Based on the train giving way at the station, the running line of the single-line heavy-load railway section under the train group operation is drawn to obtain the train section operation diagram; Based on the train interval operation diagram, the station interval time parameter and the intra-group tracking interval time parameter, a single-line operation diagram cycle model is constructed, wherein the objective function of the single-line operation diagram cycle model is to minimize the restricted interval operation diagram cycle; Based on the inter-group tracking interval time parameter, a train group tracking model for double-track heavy-haul railway under train group operation is constructed; The single-line operation diagram cycle model is linearized and then solved to obtain a minimum restricted interval operation diagram cycle, and the single-line heavy-load railway line capacity under train group operation is calculated based on the minimum restricted interval operation diagram cycle; The double-track heavy-haul railway throughput capacity at different stages of train group operation is calculated according to the train group tracking model.

2. The method for calculating the line capacity of a heavy-load railway train group according to claim 1 is characterized in that The interval time parameters of the train group operation are calculated based on the train information, and the interval time parameters include station interval time parameters and tracking interval time parameters, including: Acquire train information, the train information includes first information and second information, the first information includes the time required for the opposite train to pass the station distance, the time for the subsequent opposite train to pass after the first train completely enters the track, and the meeting interval time, the second information includes intra-group parameters and inter-group parameters; Calculate station interval time parameters based on the first information, wherein the station interval time parameters include the time when the trains in the group operation do not arrive at the same time and the interval time when the trains in the group operation meet each other; Based on the second information, the inter-group tracking interval parameters and the intra-group tracking interval parameters are calculated, the inter-group tracking interval parameters include the inter-group interval tracking interval, the inter-group departure tracking interval and the inter-group arrival tracking interval, and the intra-group tracking interval parameters include the intra-group interval tracking interval, the intra-group departure tracking interval and the intra-group arrival tracking interval.

3. The method for calculating the line capacity of a heavy-load railway train group according to claim 2 is characterized in that , the single-line operation diagram cycle model is constructed based on the train interval operation diagram, the station interval time parameter and the intra-group tracking interval time parameter, including: Based on the train giving way at the station, the station interval time parameter and the intra-group tracking interval time parameter, the station interval time between two adjacent stations and the single-track section tracking interval time are calculated; Calculate the additional time for trains at two adjacent stations based on the additional time for train departure and additional time for train stop at the station; Calculate the operation diagram cycle of any section of the train section operation diagram based on the pure operation time of the up and down train sections, the station interval time of the two adjacent stations, the tracking interval time of the single-line section and the additional time of the trains of the two adjacent stations; A single-line operation diagram cycle model is constructed based on the operation diagram cycles of all sections, and constraints of the single-line operation diagram cycle model are set.

4. The method for calculating the line capacity of a heavy-load railway train group according to claim 3 is characterized in that ,The constraint conditions for setting the single line operation diagram cycle model include: Constructing a station interval time constraint based on the arrival interval of up and down trains, the station interval time parameter and the intra-group tracking interval time parameter; According to the number of trains in a single-line group, a constraint on the number of arrival and departure lines is constructed; Based on the operation status of up and down trains at the station and the way trains give way at the station, construct the giving way constraints; The station interval time constraint, the arrival and departure line quantity constraint and the passing mode constraint are used together as constraint conditions of the single-line operation diagram cycle model.

5. The method for calculating the line capacity of a heavy-load railway train group according to claim 2 is characterized in that , the train group tracking model of the double-track heavy-haul railway under the train group operation is constructed based on the inter-group tracking interval time parameter, including: Dividing the operation phases of the double-track heavy-haul railway under the train group operation, the operation phases include the train group section tracking phase, the train group departure tracking phase, the train group arrival tracking phase and the train group full-line operation phase; Obtaining double-track parameter information of a double-track heavy-load railway under the operation of a train group, wherein the double-track parameter information includes the total operation time of the double-track, the double-track skylight time, and the number of trains in the double-track group; Based on the double-track parameter information and the inter-group interval tracking interval time, construct a first formula, the first formula being a calculation formula for the passing capacity of a double-track heavy-haul railway in a train group interval tracking phase; Based on the double-track parameter information and the inter-group departure tracking interval time, construct a second formula, the second formula being a calculation formula for the double-track heavy-load railway throughput capacity in the train group departure tracking phase; Based on the double-track parameter information and the inter-group arrival tracking interval time, construct a third formula, wherein the third formula is a calculation formula for the passing capacity of a double-track heavy-haul railway in the train group arrival tracking stage; Selecting the maximum value of the third information, wherein the third information includes the interval tracking time between groups in each interval, the interval tracking time between groups in each interval, and the interval tracking time between groups in each interval; Based on the double-track parameter information and the maximum value, a fourth formula is constructed, wherein the fourth formula is a calculation formula for the double-track heavy-load railway throughput capacity during the full-line operation stage of the train group; By means of the first formula, the second formula, the third formula and the fourth formula, a train group tracking model of a double-track heavy-load railway under the operation of a train group is constructed.

6. The method for calculating the line capacity of a heavy-load railway train group according to claim 1, characterized in that , the linearization of the single-line operation diagram cycle model is solved to obtain the minimum restricted interval operation diagram cycle, and the single-line heavy-load railway line capacity under the operation of the train group is calculated based on the minimum restricted interval operation diagram cycle, including: The single-line operation diagram cycle model is linearized and then solved to obtain the minimum restricted interval operation diagram cycle; Acquire single-line parameter information of a single-line heavy-load railway line under the operation of a train group, wherein the single-line parameter information includes a single-line total operation time, a single-line skylight time, and the number of trains in the single-line group; Based on the single-line parameter information and the minimum restriction interval operation diagram cycle, the single-line heavy-load railway line capacity under the operation of the train group is calculated.

7. A device for calculating the line capacity of a heavy-load railway train group, characterized in that: include: An acquisition module, used for calculating the interval time parameters of the train group operation based on the train information, wherein the interval time parameters include the station interval time parameter, the inter-group tracking interval time parameter and the intra-group tracking interval time parameter; A drawing module is used to draw the running line of the single-line heavy-load railway section under the operation of the train group based on the train giving way at the station, and obtain the train section operation diagram; A first construction module is used to construct a single-line operation diagram cycle model based on the train interval operation diagram, the station interval time parameter and the intra-group tracking interval time parameter, wherein the objective function of the single-line operation diagram cycle model is to minimize the restricted interval operation diagram cycle; A second construction module is used to construct a train group tracking model for a double-track heavy-haul railway under train group operation based on the inter-group tracking interval time parameter; A first calculation module is used to linearize and solve the single-line operation diagram cycle model to obtain a minimum restricted interval operation diagram cycle, and calculate the single-line heavy-load railway line capacity under train group operation based on the minimum restricted interval operation diagram cycle; The second calculation module is used to calculate the double-track heavy-load railway throughput capacity at different stages of train group operation according to the train group tracking model.

8. The device for calculating the line throughput capacity of a heavy-load railway train group according to claim 7, characterized in that: The acquisition module comprises: an acquisition unit, configured to acquire train information, wherein the train information includes first information and second information, wherein the first information includes the time required for an oncoming train to pass the station distance, the time required for a first arriving train to complete the track and the time for a subsequent oncoming train to pass, and the meeting interval time, and the second information includes intra-group parameters and inter-group parameters; A first calculation unit is used to calculate a station interval time parameter based on the first information, wherein the station interval time parameter includes the time when trains in group operation do not arrive at the same time and the time between trains in group operation and trains meeting each other; A second calculation unit is used to calculate the inter-group tracking interval time parameters and the intra-group tracking interval time parameters based on the second information, the inter-group tracking interval time parameters include the inter-group interval tracking interval time, the inter-group departure tracking interval time and the inter-group arrival tracking interval time, and the intra-group tracking interval time parameters include the intra-group interval tracking interval time, the intra-group departure tracking interval time and the intra-group arrival tracking interval time.

9. The device for calculating the line throughput capacity of a heavy-load railway train group according to claim 8, characterized in that: The first building block comprises: A third calculation unit is used to calculate the station interval time between two adjacent stations and the single-track section tracking interval time based on the train giving way at the station, the station interval time parameter and the intra-group tracking interval time parameter; A fourth calculation unit, used for calculating the additional time minutes of trains at two adjacent stations based on the additional time minutes for departure and the additional time minutes for parking at the station; A fifth calculation unit is used to calculate the operation diagram cycle of any section of the train section operation diagram based on the pure operation time of the up and down train sections, the station interval time of the two adjacent stations, the tracking interval time of the single-line section and the additional train time of the two adjacent stations; The first construction unit is used to construct a single-line operation diagram cycle model based on the operation diagram cycles of all intervals and set constraint conditions of the single-line operation diagram cycle model.

10. The device for calculating the line throughput capacity of a heavy-load railway train group according to claim 9, characterized in that: The first building block comprises: A second construction unit is used to construct a station interval time constraint based on the arrival interval of up and down trains, the station interval time parameter and the intra-group tracking interval time parameter; The third construction unit is used to construct the number constraint of arrival and departure lines according to the number of trains in the single-line group; The fourth construction unit is used to construct a yielding mode constraint based on the operation conditions of up and down trains at the station and the yielding mode of trains at the station; The fifth construction unit is used to use the station interval time constraint, the arrival and departure line quantity constraint and the letting mode constraint as constraint conditions of the single-line operation diagram cycle model.

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