Method and device for calculating line passing capacity under heavy-load railway train group operation

Abstract

The application provides a heavy-load railway train group operation offline line passing capacity calculation method and device, relates to the train group analysis technical field, and the method comprises the following steps: calculating the interval time parameter under the train group operation; drawing a train section operation diagram; constructing a single-line operation diagram cycle model based on the train section operation diagram and the interval time parameter; constructing a train group tracking model of a double-line heavy-load railway under the train group operation based on the interval time parameter; linearizing the single-line operation diagram cycle model and solving to obtain a minimum limit section operation diagram cycle; calculating the single-line heavy-load railway line passing capacity under the train group operation based on the minimum limit section operation diagram cycle; and calculating the double-line heavy-load railway passing capacity under the train group operation at different stages according to the train group tracking model. The application solves the problem that the existing line passing capacity calculation method does not consider the particularity of the group operation organization method and cannot be applied to the calculation of the capacity under the group operation.

Description

Technical Field

[0001] This invention relates to the field of train group analysis technology, and more specifically, to a method and apparatus for calculating the line throughput capacity under heavy-haul railway train group operation. Background Technology

[0002] With the improvement of the national economic level, heavy-haul railways, as an important mode of energy and material transportation, face a huge demand for capacity improvement. The development of group operation control systems has initially established theoretical support and technical conditions for improving the transportation capacity of heavy-haul railways in terms of infrastructure equipment and transportation organization. However, due to the significant differences between group operation control systems and conventional signal control systems, the characterization and calculation of the throughput capacity of single and double-track heavy-haul railway lines under group operation needs further investigation.

[0003] Existing methods for calculating line capacity do not consider the special characteristics of group operation organization methods, lack capacity calculation methods under group operation, and lack calibration of relevant parameters required for calculation. Summary of the Invention

[0004] The purpose of this invention is to provide a method and apparatus for calculating track capacity under heavy-haul railway train group operation, so as to improve the above-mentioned problems. To achieve the above objective, the technical solution adopted by this invention is as follows:

[0005] Firstly, this application provides a method for calculating the line capacity under heavy-haul railway train group operation, including:

[0006] Based on train information, the interval time parameters under train group operation are calculated. 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 passing method at stations, the operating lines of a single-track heavy-haul railway section under train group operation are drawn to obtain the train section operation diagram;

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

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

[0010] After linearizing the single-track timetable cycle model, the minimum restricted interval timetable cycle is obtained. Based on the minimum restricted interval timetable cycle, the throughput capacity of a single-track heavy-haul railway line under train group operation is calculated.

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

[0012] Secondly, this application also provides a method and apparatus for calculating the line capacity under heavy-haul railway train group operation, comprising:

[0013] The acquisition module is used to calculate the interval time parameters under train group operation based on train information. The interval time parameters include station interval time parameters, inter-group tracking interval time parameters, and intra-group tracking interval time parameters.

[0014] The drawing module is used to draw the running line of a single-track heavy-haul railway section under the train group operation based on the train passing mode at the station, and obtain the train section operation diagram;

[0015] The 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 group tracking interval time parameter. The objective function of the single-line operation diagram cycle model is to minimize the restricted interval operation diagram cycle.

[0016] The 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] The first calculation module is used to solve the linearized single-line operation timetable cycle model to obtain the minimum restricted interval operation timetable cycle, and to calculate the throughput capacity of the single-line heavy-haul railway line under train group operation based on the minimum restricted interval operation timetable cycle.

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

[0019] The beneficial effects of this invention are as follows: By considering the transportation organization characteristics under train group operation, this invention allows planners and operators to easily, quickly, and accurately assess the theoretical throughput capacity of single-track and double-track heavy-haul railways under train group operation. Simultaneously, it designs a method for calculating the throughput capacity of single-track heavy-haul railways under train group operation, which can display the location of the restricted sections along the entire line, i.e., the location of capacity bottlenecks, facilitating the design of transportation organization methods, the generation of timetables, and subsequent related planning and adjustments by operators. Furthermore, it provides a method for calculating the throughput capacity of double-track heavy-haul railways under train group operation, enabling operators to assess the throughput capacity of double-track heavy-haul railways at different stages under train group operation and identify capacity bottlenecks.

[0020] Other features and advantages of the invention will be set forth in the following description, and will be apparent in part from the description, or may be learned by practicing embodiments of the invention. The objects and other advantages of the invention may be realized and obtained by means of the structures particularly pointed out in the written description, claims, and drawings. Attached Figure Description

[0021] To more clearly illustrate the technical solutions of the embodiments of the present invention, the accompanying drawings used in the embodiments will be briefly introduced below. It should be understood that the following drawings only show some embodiments of the present invention and should not be regarded as a limitation on the scope. For those skilled in the art, other related drawings can be obtained based on these drawings without creative effort.

[0022] Figure 1 This is a schematic diagram of the method for calculating the line throughput capacity under heavy-haul railway train group operation as described in this embodiment of the invention;

[0023] Figure 2 This is a schematic diagram illustrating the no-technical-operation-permissions-at-the-station-station-forward-and-backward-train-passing-off-station configuration in an embodiment of the present invention;

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

[0025] Figure 4 This is a schematic diagram of the line throughput capacity calculation device under heavy-haul railway train group operation as described in this embodiment of the invention. Detailed Implementation

[0026] To make the objectives, technical solutions, and advantages of the embodiments of the present invention clearer, the technical solutions of the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some, not all, of the embodiments of the present invention. The components of the embodiments of the present invention described and shown in the accompanying drawings can generally be arranged and designed in various different configurations. Therefore, the following detailed description of the embodiments of the present invention provided in the accompanying drawings is not intended to limit the scope of the claimed invention, but merely to illustrate selected embodiments of the invention. All other embodiments obtained by those skilled in the art based on the embodiments of the present invention without inventive effort are within the scope of protection of the present invention.

[0027] It should be noted that similar reference numerals and letters in the following figures indicate similar items; therefore, once an item is defined in one figure, it does not need to be further defined and explained in subsequent figures. Furthermore, in the description of this invention, terms such as "first," "second," etc., are used only to distinguish descriptions and should not be construed as indicating or implying relative importance.

[0028] Example 1:

[0029] This embodiment provides a method for calculating the track throughput capacity under heavy-haul railway train group operation.

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

[0031] Step S100: Calculate the interval time parameters under train group operation based on train information. The interval time parameters include station interval time parameters, inter-group tracking interval time parameters, and intra-group tracking interval time parameters.

[0032] Step S100 includes:

[0033] Step S101: Obtain train information, which includes first information and second information. The first information includes the time required for an oncoming train to pass through the station, the time required for subsequent oncoming trains to pass after the first train has fully entered the track, and the meeting interval. The second information includes intra-group parameters and inter-group parameters.

[0034] Step S102: Calculate the station interval time parameter based on the first information. The station interval time parameter includes the time when the following trains in the group do not arrive at the same time and the time when the following trains in the group meet.

[0035] In this embodiment, for a single-track heavy-haul railway, considering that the group operation mode mainly involves train passing operations, where the arrival times of the trains in the group operation are not simultaneous. The expression is:

[0036]

[0037] In the formula, L out L indicates the distance traveled by subsequent trains in opposite directions outside the station. enter Indicates the train's travel distance into the station, I represents the train tracking interval within the group, n represents the number of trains within a single-track group, and t 作业 This indicates the time for processing the passage of subsequent trains in the opposite direction after the first train has fully entered the track. 不 This indicates the time interval between arrivals that do not occur simultaneously.

[0038] In this embodiment, the meeting interval τ 会This refers to the minimum interval from when a train passes through or arrives at a station until the station dispatches another train in the same direction to the original section, including the time for processing the departure of the following train after the preceding train has fully entered the station's tracks. Similarly, for group trains, it should be the time for processing the departure of the following train after the last train in the convoy has fully entered the tracks, which is no different from the current situation. Therefore, the meeting interval for group trains is as follows: Equal to the meeting interval τ 会 ,Right now

[0039] Step S103: Calculate the inter-group tracking interval time parameter and the intra-group tracking interval time parameter based on the second information. The inter-group tracking interval time parameter includes the inter-group interval tracking interval time, the inter-group departure tracking interval time and the inter-group arrival tracking interval time. The intra-group tracking interval time parameter includes the intra-group interval tracking interval time, the intra-group departure tracking interval time and the intra-group arrival tracking interval time.

[0040] In this embodiment, the formula for calculating the intra-group interval tracking time is as follows:

[0041]

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

[0043] The formula for calculating the inter-group interval tracking time is:

[0044]

[0045] In the formula, Indicates the inter-group interval tracking time. This indicates the interval time for section tracking under existing block closure methods. L represents the intra-group section tracking interval time of the preceding train in the j-th train group within the train group. 列,j Let v represent the length of the j-th train within the train group, n represent the number of trains within the single-track group, and v 追 This indicates the average speed of the train during tracked operation within a given section.

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

[0047]

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

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

[0050] The formula for calculating the inter-group departure tracking interval is:

[0051]

[0052] In the formula, Indicates the time interval between group departures for tracking. This indicates the departure interval of the j-th train within the train group. This indicates the departure interval of trains under the existing block system.

[0053] The formula for calculating the arrival interval within a group is:

[0054]

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

[0056] When calculating the arrival tracking interval within a group, there are two key locations, A and B. When a train enters different tracks, point A is the endpoint of the repeated route in the train receiving route on different tracks, and point B is the endpoint of the first key turnout after the endpoint of the repeated route in the train receiving route on different tracks. When a train enters the same track, both points A and B are the track's reverse exit signal.

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

[0058]

[0059] In the formula, Indicates the arrival tracking interval between groups. This indicates the arrival interval of the j-th train within the train group. This indicates the arrival interval of trains under the existing block system.

[0060] In this embodiment, before drawing the train interval operation diagram, the following preconditions are first set: since the theoretical maximum throughput capacity is to be calculated, it is assumed that after the train runs smoothly within the interval, it always maintains a group state and runs at the maximum allowable speed; considering the balance of the train sets, it is assumed that the trains run in pairs; it is assumed that the setting of unit trains within the train group is fixed and the group size is uniform throughout the line; according to the actual situation, it is stipulated that when the train stops at the station, only one train stops on each arrival and departure track; considering the train group operation principle and actual operation, it is stipulated that the total length of a train group is less than the length of any section of the line; considering the limitation on the number of arrival and departure tracks at stations, the number of arrival and departure tracks at stations on a single-track railway is not less than twice the size of the train group; trains that do not meet the conditions can pass over.

[0061] Meanwhile, to facilitate the description of train passing methods at stations, taking a group of two trains as an example, a detailed analysis is conducted on various situations involving technical operations and passing maneuvers at stations. Based on whether technical operations are performed on the trains at the station and the type of station, there are four types with a total of eight scenarios. The four types are: no technical operations for passing trains in either direction; technical operations for passing trains in either direction; technical operations for passing trains in both directions; and passing trains at the end of a section. Figure 2 The diagram shows two scenarios where no technical work is performed on trains traveling in either direction at the station.

[0062] Step S200: Based on the train passing method at stations, draw the running line of a single-track heavy-haul railway section under the train group operation to obtain the train section operation diagram;

[0063] In this embodiment, a train section operation diagram with various train passing methods at stations is drawn.

[0064] Step S300: Based on the train interval time diagram, the station interval time parameter, and the intra-group tracking interval time parameter, construct a single-line time diagram cycle model. The objective function of the single-line time diagram cycle model is to minimize the restricted interval time diagram cycle.

[0065] For any given interval, the diagram showing how the interval running line is drawn is as follows: Figure 3 As shown, the train interval timetable is obtained. From the timetable, the timetable period T for any interval (i, i+1) can be found. i,i+1 The elements included are fixed, namely the pure running time of trains in both directions, the station interval time between two adjacent stations, the tracking interval time of a single-track section, and the additional train time minutes between two adjacent stations. At the same time, the specific elements included in the timetable cycle are related to the train passing method between the two stations before and after the section.

[0066] In this embodiment, the running graph period T of the interval (i, i+1) is... i,i+1 It can be represented as:

[0067]

[0068] In the formula, This indicates the pure travel time of the train in the upbound section. This indicates the pure travel time of the train in the downlink section. This represents the station interval time for a down-line train that includes station i within the cycle time. This represents the station interval time for an upward-bound train that includes station i+1 within the cycle time. i This indicates the tracking interval time for that single-line interval within the period time. This represents the additional departure time for the down-line train at station i within the cycle time. This represents the additional time minutes for train stops at station i+1 included in the cycle time for an upbound train.

[0069] Based on the above, we introduce a 0-1 variable x. i , d i and a i Let m be the total number of stations in the studied segment, and M be the set of stations in the studied segment, where x i This indicates the passing order for trains going in both directions at station i, x i =0 means that at station i, the upward train will yield to the downward train, x i =1 means that at station i, the train going down will give way to the train going up. This indicates the operational status of the northbound train at station i. This indicates the operational status of the downline train at station i. and When the value is 1 and 0, it indicates that there is work being done on the up and down trains at station i, and no technical work being done on the up and down trains, respectively. i Indicates the additional departure time at station i, a i This represents the additional parking time at station i. Using the above variables, the various elements in the periodic formula of the interval operation diagram can be uniformly represented according to a set pattern.

[0070] Step S300 includes:

[0071] Step S301: Based on the train passing method at the station, the station interval time parameter, and the intra-group tracking interval time parameter, calculate the station interval time and single-track section tracking interval time between two adjacent stations;

[0072] Step S302: Calculate the additional train time for two adjacent stations based on the additional departure time and additional stopping time of each station;

[0073] In this embodiment, the station interval between two adjacent stations includes and Additional train time between adjacent stations includes and The formulas for calculating the station interval between two adjacent stations, the single-track section tracking interval, and the additional train time between two adjacent stations are as follows:

[0074]

[0075]

[0076] In the formula, This represents the station interval time for a down-line train that includes station i within the cycle time. This represents the station interval time for an upward-bound train that includes station i+1 within the cycle time. i This indicates the tracking interval time for that single-line interval within the period time, x. i This indicates the passing order for trains going in both directions at station i, x i+1 This indicates the passing order for trains traveling in both directions at station i+1. This indicates the time interval between vehicles running in the group. This indicates the arrival times of the following trains in the group. This indicates the operational status of the northbound train at station i. This indicates the operational status of trains traveling southbound at station i, where m represents the total number of stations included in the studied section. Indicates the interval time for tracking within a group. This indicates the departure interval within the group. This indicates the arrival interval within the group, where n represents the number of trains in the single-track group. This indicates the operational status of the northbound train at station i+1. This indicates the operational status of the downlink train at station i+1, λ i λ represents the arrival interval of trains in both directions at station i. i+1 This indicates the arrival interval of trains in both directions at station i+1. This represents the additional departure time for the down-line train at station i within the cycle time. d represents the additional time minutes for train stops at station i+1 included in the cycle time for the upbound train. i Indicates the additional departure time at station i, a i d represents the additional parking time at station i. i+1 Indicates the additional departure time at station i+1, a i+1 This indicates the additional parking time at station i+1. This indicates the technical operation time of the downline train at station i. This indicates the technical operation time of the train traveling north at station i+1.

[0077] Step S303: Based on the pure running time of the up and down train sections, the station interval time between the two adjacent stations, the tracking interval time of the single-track section, and the additional train time minutes of the two adjacent stations, calculate the timetable cycle of any section of the train section timetable;

[0078] In this embodiment, the calculation formulas for each element are substituted to obtain the running chart cycle.

[0079] Step S304: Construct a single-line running chart cycle model based on the running chart cycles of all intervals, and set the constraints of the single-line running chart cycle model.

[0080] In this embodiment, the objective of the single-line running chart cycle model is to find the running chart cycle of the minimum restricted interval of the entire line; therefore, the objective function is set as follows:

[0081]

[0082] In the formula, T i,i+1 The interval (i, i+1) represents the period of the running graph, M represents the set of stations included in the studied segment, max{·} represents taking the maximum value, and min represents taking the minimum value.

[0083] In step S304, the constraints of the single-line running chart periodic model are set, including:

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

[0085] In this embodiment, when technical operations are in progress, the arrival interval between up and down trains must at least meet the basic station yielding time requirement. Furthermore, considering the actual on-site operations, the arrival interval between up and down trains is an integer, and the expression for the station interval time constraint is:

[0086]

[0087] In the formula, λ i This indicates the arrival interval of trains in both directions at station i. This indicates the time interval between vehicles running in the group. This indicates the different arrival times of the following trains in the group. and These represent the technical operation time for the up and down trains at station i, respectively. This indicates the operational status of the northbound train at station i. This indicates the operational status of the downline train at station i. Indicates the interval time for tracking within a group. This indicates the departure interval within the group. This represents the arrival interval time within the group, where n represents the number of trains within the single-track group, and x represents the arrival interval time within the group. i Z indicates the passing order for trains traveling in both directions at station i. + Let M represent a positive integer, and M represent the set of stations included in the studied segment.

[0088] Step A200: Construct arrival and departure track quantity constraints based on the number of trains within a single track 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 tracks at each station. For stations where trains in both directions are being operated, the total number of stops in both directions should not exceed the number of arrival and departure tracks at that station. For stations where trains only need to yield or where technical operations are only performed in one direction, the number of trains in a single-track group in a single direction should not exceed the number of arrival and departure tracks at that station. Therefore, the expression for the arrival and departure track quantity constraint is:

[0090]

[0091] In the formula, n represents the number of trains in a single-track group, l i This indicates the number of arrival / departure lines at station i. This indicates the operational status of the northbound train at station i. This indicates the operational status of the downline train at station i, Z. + Let M represent a positive integer, and M represent the set of stations included in the studied segment.

[0092] Step A300: Based on the operational status of up and down trains at the station and the train passing methods at the station, construct passing method constraints;

[0093] In this embodiment, considering the actual operational situation and the rationality of the on-site operation arrangement, there should be no situation where a train without technical operations on the downhill side yields to a train with technical operations on the uphill side, or vice versa. Therefore, the expression for the yielding method constraint is:

[0094]

[0095] In the formula, x i This indicates the passing order for trains traveling in both directions at station i. This indicates the operational status of the northbound train at station i. This indicates the operational status of the downlink 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 the constraint conditions of the single-line operation timetable cycle model.

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

[0098] In this embodiment, the tracking process on a double-track heavy-haul railway is simpler when train groups are in operation. Within a train group, tracking is performed according to group-related rules, unaffected by the line block system. Between train groups, tracking is performed according to the signal rules of the original line block system, treating each train group as a whole.

[0099] Therefore, for double-track heavy-haul railways, there is no need to consider station interval time parameters, but it is necessary to focus on the inter-group tracking interval time, inter-group departure tracking interval time, and inter-group arrival tracking interval time under different line block modes.

[0100] In this embodiment, the theoretical maximum capacity calculation under train group operation is to be studied. Therefore, considering the actual situation and project objectives, certain assumptions are first set when calculating the throughput capacity of double-track heavy-haul railway lines under train group operation, including: assuming that the unit train settings within the train group are fixed; not considering train overtaking; stipulating that only one train stops on each arrival and departure track when the train arrives at the station, based on the actual situation; and stipulating that the total length of a train group is less than the length of any section of the line, considering the train group operation principle and actual operation.

[0101] Step S400 includes:

[0102] Step S401: Divide the operation phases of the double-track heavy-haul railway under 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;

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

[0104] Step S402: Obtain the double-track parameter information of the double-track heavy-haul railway under the operation of the train group. The double-track parameter information includes the total operating time of the double track, the double-track maintenance window time, and the number of trains in the double-track group.

[0105] Step S403: Based on the double-track parameter information and the inter-group interval tracking time, construct a first formula, which is the calculation formula for the throughput capacity of double-track heavy-haul railways during the train group interval tracking stage;

[0106] In this embodiment, during the train group section tracking phase, each train group is in a stable operating state, and the line capacity depends more on the inter-group section tracking interval time.

[0107] Step S404: Based on the double-track parameter information and the inter-group departure tracking interval, construct a second formula, which is the calculation formula for the throughput capacity of the double-track heavy-haul railway during the train group departure tracking stage;

[0108] In this embodiment, during the train group departure tracking phase, different train groups undergo the on-site departure tracking process. Considering the station signaling system and related operational organization, the inter-group departure tracking interval is longer than the inter-group interval tracking time.

[0109] Step S405: Based on the double-track parameter information and the inter-group arrival tracking interval time, construct a third formula, which is the calculation formula for the throughput capacity of the double-track heavy-haul railway during the train group arrival tracking stage;

[0110] In this embodiment, during the train group arrival tracking phase, different train groups undergo the station arrival tracking process. Considering factors such as the station entry signal system, related work organization, train disbanding, station entry and running safety, the inter-group arrival tracking interval is greater than the inter-group departure tracking interval.

[0111] Step S406: Select the maximum value of the third information, which includes the inter-group interval tracking interval time, the inter-group departure tracking interval time, and the inter-group arrival tracking interval time for each interval.

[0112] Step S407: Based on the double-track parameter information and the maximum value, construct a fourth formula, which is a formula for calculating the throughput capacity of a double-track heavy-haul railway during the full-line operation phase of a train group;

[0113] In this embodiment, the focus is no longer on a single section or station during the entire operation phase of the train group. Instead, the theoretical maximum capacity of the entire line is calculated. To ensure the normal operation of the train group across the entire line, the coordination of the capacities of different links needs to be considered, and the link with the most strained capacity is selected as the representative of the overall line capacity.

[0114] Step S408: Construct a train group tracking model for a double-track heavy-haul railway under train group operation using the first formula, the second formula, the third formula, and the fourth formula.

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

[0116]

[0117] In the formula, and These represent the throughput capacity of the double-track heavy-haul railway during the following phases: section tracking, departure tracking, arrival tracking, and full-line operation of the train group, respectively, where n' represents the number of trains within the double-track group. T' indicates rounding down. 运营 T' represents the total operating time of both lines. t Indicates the double-line sunroof time. and These represent the inter-group interval tracking time, the inter-group departure tracking time, and the inter-group arrival tracking time, respectively. and Let represent the inter-group interval tracking time, inter-group departure tracking time, and inter-group arrival tracking time in the interval (i, i+1), respectively. M represents the set of stations included in the studied segment, and max{·} represents taking the maximum value.

[0118] Step S500: After linearizing the single-line timetable cycle model, solve it to obtain the minimum restricted interval timetable cycle, and calculate the throughput capacity of the single-line heavy-haul railway line under train group operation based on the minimum restricted interval timetable cycle;

[0119] Step S500 includes:

[0120] Step S501: Linearize the single-line running chart cycle model and solve it to obtain the minimum restricted interval running chart cycle;

[0121] In this embodiment, the solution obtained after linearization not only yields the minimum restricted interval operation cycle, but also the optimal train passing method for each station along the entire line.

[0122] Step S502: Obtain single-track parameter information of a single-track heavy-haul railway line under train group operation. The single-track parameter information includes the total operating time of the single track, the single-track maintenance window time, and the number of trains in the single-track group.

[0123] Step S503: Based on the single-track parameter information and the minimum restriction interval operation cycle, calculate the throughput capacity of the single-track heavy-load railway line under train group operation.

[0124] In this embodiment, the formula for calculating the throughput capacity of a single-track heavy-haul railway line under train group operation is as follows:

[0125]

[0126] In the formula, T represents the throughput capacity of a single-track heavy-haul railway line under train group operation, where n represents the number of trains in the single-track group. 运营 T represents the total operating time of a single line. t This indicates the single-line window time, and T represents the minimum restriction interval operation chart cycle.

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

[0128] In summary, this invention considers the transportation organization characteristics under train group operation. The proposed method allows planners and operators to easily, quickly, and accurately assess the theoretical throughput capacity of single-track heavy-haul railways operating with train groups. It can display the location of restricted sections along the entire line, i.e., the location of capacity bottlenecks, and can also provide the optimal train passing methods for each station along the entire line. This facilitates the design of transportation organization methods, the generation of timetables, and subsequent planning and adjustments by operators.

[0129] Example 2:

[0130] like Figure 4 As shown, this embodiment provides a device for calculating the line throughput capacity under heavy-haul railway train group operation. The device includes:

[0131] The acquisition module is used to calculate the interval time parameters under train group operation based on train information. The interval time parameters include station interval time parameters, inter-group tracking interval time parameters, and intra-group tracking interval time parameters.

[0132] The drawing module is used to draw the running line of a single-track heavy-haul railway section under the train group operation based on the train passing mode at the station, and obtain the train section operation diagram;

[0133] The 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 group tracking interval time parameter. The objective function of the single-line operation diagram cycle model is to minimize the restricted interval operation diagram cycle.

[0134] The 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] The first calculation module is used to solve the linearized single-line operation timetable cycle model to obtain the minimum restricted interval operation timetable cycle, and to calculate the throughput capacity of the single-line heavy-haul railway line under train group operation based on the minimum restricted interval operation timetable cycle.

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

[0137] The acquisition module includes:

[0138] The acquisition unit is used to acquire train information, which includes first information and second information. The first information includes the time required for an oncoming train to pass through the station, the time required for subsequent oncoming trains to pass after the first train has completely entered the track, and the meeting interval. The second information includes intra-group parameters and inter-group parameters.

[0139] The first calculation unit is used to calculate the station interval time parameter based on the first information. The station interval time parameter includes the time when the trains in the group do not arrive at the same time and the time when the trains in the group meet.

[0140] The second calculation unit is used to calculate the inter-group tracking interval time parameter and the intra-group tracking interval time parameter based on the second information. The inter-group tracking interval time parameter includes the inter-group interval tracking interval time, the inter-group departure tracking interval time and the inter-group arrival tracking interval time. The intra-group tracking interval time parameter includes 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 module includes:

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

[0143] The fourth calculation unit is used to calculate the additional train time for two adjacent stations based on the additional departure time and additional stopping time of the station.

[0144] The fifth calculation unit is used to calculate the timetable cycle of any section of the train timetable based on the pure running time of the up and down train sections, the station interval time between the two adjacent stations, the tracking interval time of the single-track section, and the additional train time minutes of the two adjacent stations.

[0145] The first building unit is used to construct a single-line running chart cycle model based on the running chart cycles of all intervals, and to set the constraints of the single-line running chart cycle model.

[0146] The first building unit includes:

[0147] The second construction unit is used to construct station interval time constraints based on the up and down train arrival intervals, the station interval time parameters, and the intra-group tracking interval time parameters;

[0148] The third building unit is used to build arrival and departure line quantity constraints based on the number of trains in a single line group;

[0149] The fourth building unit is used to build passing constraints based on the operation status of up and down trains at the station and the train passing methods at the station;

[0150] The fifth construction unit is used to combine the station interval time constraint, the arrival and departure line number constraint, and the passing mode constraint as constraints for the single-line operation diagram cycle model.

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

[0152] The above description is merely a preferred embodiment of the present invention and is not intended to limit the invention. Various modifications and variations can be made to the present invention by those skilled in the art. Any modifications, equivalent substitutions, improvements, etc., made within the spirit and principles of the present invention should be included within the scope of protection of the present invention.

[0153] The above description is merely a specific embodiment of the present invention, but the scope of protection of the present invention is not limited thereto. Any variations or substitutions that can be easily conceived by those skilled in the art within the technical scope disclosed in the present invention should be included within the scope of protection of the present invention. Therefore, the scope of protection of the present invention should be determined by the scope of the claims.

Claims

1. A method for calculating the track capacity under heavy-haul railway train group operation, characterized in that, include: Based on train information, the interval time parameters under train group operation are calculated. The interval time parameters include station interval time parameters, inter-group tracking interval time parameters, and intra-group tracking interval time parameters. The inter-group tracking interval time parameters include inter-group section tracking interval time, inter-group departure tracking interval time, and inter-group arrival tracking interval time. Based on the train passing method at stations, the operating lines of a single-track heavy-haul railway section under train group operation are drawn to obtain the train section operation diagram; Based on the train interval timetable, the station interval time parameter, and the intra-group tracking interval time parameter, a single-line timetable cycle model is constructed. The objective function of the single-line timetable cycle model is to minimize the restricted interval timetable cycle. Based on the inter-group tracking interval time parameter, a train group tracking model for a double-track heavy-haul railway under train group operation is constructed. After linearizing the single-track timetable cycle model, the minimum restricted interval timetable cycle is obtained. Based on the minimum restricted interval timetable cycle, the throughput capacity of a single-track heavy-haul railway line under train group operation is calculated. The throughput capacity of the double-track heavy-haul railway at different stages of train group operation is calculated based on the train group tracking model. The process of constructing 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 includes: The operation phases of a double-track heavy-haul railway under train group operation are divided, including 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. Obtain double-track parameter information of a double-track heavy-haul railway under train group operation. The double-track parameter information includes the total double-track operating time, double-track maintenance window time, and the number of trains in the double-track group. Based on the double-track parameter information and the inter-group interval tracking time, a first formula is constructed, which is the calculation formula for the throughput capacity of double-track heavy-haul railways in the train group interval tracking stage. Based on the double-track parameter information and the inter-group departure tracking interval, a second formula is constructed, which is the formula for calculating the throughput capacity of the double-track heavy-haul railway during the train group departure tracking phase. Based on the double-track parameter information and the inter-group arrival tracking interval, a third formula is constructed, which is the formula for calculating the throughput capacity of double-track heavy-haul railways during the train group arrival tracking stage. Select the maximum value of the third information, which includes the inter-group interval tracking interval time, the inter-group departure tracking interval time, and the inter-group arrival tracking interval time for each interval. Based on the double-track parameter information and the maximum value, a fourth formula is constructed, which is the formula for calculating the throughput capacity of the double-track heavy-haul railway during the full-line operation of the train group. A train group tracking model for a double-track heavy-haul railway under train group operation is constructed using the first formula, the second formula, the third formula, and the fourth formula.

2. The method for calculating the line capacity under heavy-haul railway train group operation according to claim 1, characterized in that... The interval time parameters calculated based on train information under train group operation include station interval time parameters and tracking interval time parameters, including: Obtain train information, which includes first information and second information. The first information includes the time required for an oncoming train to pass through the station, the time required for subsequent oncoming trains to pass after the first train has fully entered the track, and the meeting interval. The second information includes intra-group parameters and inter-group parameters. Based on the first information, the station interval time parameter is calculated, which includes the time when the following trains in the group do not arrive at the same time and the time when the following trains in the group meet. Based on the second information, calculate the inter-group tracking interval time parameter and the intra-group tracking interval time parameter. The intra-group tracking interval time parameter includes the intra-group interval tracking time, the intra-group departure tracking time, and the intra-group arrival tracking time.

3. The method for calculating the line capacity under heavy-haul railway train group operation according to claim 2, characterized in that... The construction of a single-line timetable cycle model based on the train interval timetable, the station interval time parameters, and the intra-group tracking interval time parameters includes: Based on the train passing method at the station, the station interval time parameter, and the intra-group tracking interval time parameter, the station interval time and single-track section tracking interval time of two adjacent stations are calculated. Calculate the additional train time for two adjacent stations based on the additional departure time and additional stopping time of each station. Based on the pure running time of the up and down train sections, the station interval time between the two adjacent stations, the tracking interval time of the single-track section, and the additional train time minutes of the two adjacent stations, the train timetable cycle of any section of the train timetable is calculated; A single-line operation chart cycle model is constructed based on the operation chart cycles of all intervals, and constraints are set for the single-line operation chart cycle model.

4. The method for calculating the line capacity under heavy-haul railway train group operation according to claim 3, characterized in that... The constraints for setting the single-line running chart cycle model include: Based on the arrival intervals of up and down trains, the station interval time parameters, and the intra-group tracking interval time parameters, station interval time constraints are constructed. Based on the number of trains within a single-track group, a constraint is established on the number of arrival and departure tracks; Based on the operational status of trains going up and down at the station and the train passing methods at the station, constraints on passing methods are constructed; The station interval time constraint, the arrival and departure line number constraint, and the passing mode constraint are used together as the constraint conditions of the single-line operation diagram cycle model.

5. The method for calculating the line capacity under heavy-haul railway train group operation according to claim 1, characterized in that... The linearization and solution of the single-track timetable cycle model yields the minimum restricted interval timetable cycle. Based on the minimum restricted interval timetable cycle, the throughput capacity of a single-track heavy-haul railway line under train group operation is calculated, including: After linearizing the single-line running chart cycle model, the minimum restricted interval running chart cycle is obtained by solving the problem. Obtain single-track parameter information for a single-track heavy-haul railway line under train group operation. The single-track parameter information includes the total operating time of the single track, the single-track maintenance window time, and the number of trains in the single-track group. Based on the single-track parameter information and the minimum restricted interval operation cycle, the throughput capacity of a single-track heavy-haul railway line under train group operation is calculated.

6. A device for calculating the track throughput capacity under heavy-haul railway train group operation, characterized in that, include: The acquisition module is used to calculate the interval time parameters under the operation of train groups based on train information. The interval time parameters include station interval time parameters, inter-group tracking interval time parameters, and intra-group tracking interval time parameters. The inter-group tracking interval time parameters include inter-group section tracking interval time, inter-group departure tracking interval time, and inter-group arrival tracking interval time. The drawing module is used to draw the running line of a single-track heavy-haul railway section under the train group operation based on the train passing mode at the station, and obtain the train section operation diagram; The 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 group tracking interval time parameter. The objective function of the single-line operation diagram cycle model is to minimize the restricted interval operation diagram cycle. The 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, including: The operation phases of a double-track heavy-haul railway under train group operation are divided, including 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. Obtain double-track parameter information of a double-track heavy-haul railway under train group operation. The double-track parameter information includes the total double-track operating time, double-track maintenance window time, and the number of trains in the double-track group. Based on the double-track parameter information and the inter-group interval tracking time, a first formula is constructed, which is the calculation formula for the throughput capacity of double-track heavy-haul railways in the train group interval tracking stage. Based on the double-track parameter information and the inter-group departure tracking interval, a second formula is constructed, which is the formula for calculating the throughput capacity of the double-track heavy-haul railway during the train group departure tracking phase. Based on the double-track parameter information and the inter-group arrival tracking interval, a third formula is constructed, which is the formula for calculating the throughput capacity of double-track heavy-haul railways during the train group arrival tracking stage. Select the maximum value of the third information, which includes the inter-group interval tracking interval time, the inter-group departure tracking interval time, and the inter-group arrival tracking interval time for each interval. Based on the double-track parameter information and the maximum value, a fourth formula is constructed, which is the formula for calculating the throughput capacity of the double-track heavy-haul railway during the full-line operation of the train group. A train group tracking model for a double-track heavy-haul railway under train group operation is constructed using the first formula, the second formula, the third formula, and the fourth formula. The first calculation module is used to solve the linearized single-line operation timetable cycle model to obtain the minimum restricted interval operation timetable cycle, and to calculate the throughput capacity of the single-line heavy-haul railway line under train group operation based on the minimum restricted interval operation timetable cycle. The second calculation module is used to calculate the throughput capacity of the double-track heavy-haul railway at different stages of train group operation based on the train group tracking model.

7. The line capacity calculation device under heavy-haul railway train group operation according to claim 6, characterized in that, The acquisition module includes: The acquisition unit is used to acquire train information, which includes first information and second information. The first information includes the time required for an oncoming train to pass through the station, the time required for subsequent oncoming trains to pass after the first train has completely entered the track, and the meeting interval. The second information includes intra-group parameters and inter-group parameters. The first calculation unit is used to calculate the station interval time parameter based on the first information. The station interval time parameter includes the time when the trains in the group do not arrive at the same time and the time when the trains in the group meet. The second calculation unit is used to calculate the inter-group tracking interval time parameter and the intra-group tracking interval time parameter based on the second information. The intra-group tracking interval time parameter includes the intra-group interval tracking interval time, the intra-group departure tracking interval time, and the intra-group arrival tracking interval time.

8. The line capacity calculation device under heavy-haul railway train group operation according to claim 7, characterized in that, The first building module includes: The third calculation unit is used to calculate the station interval time and single-track section tracking interval time between two adjacent stations based on the train passing method at the station, the station interval time parameter, and the intra-group tracking interval time parameter. The fourth calculation unit is used to calculate the additional train time for two adjacent stations based on the additional departure time and additional stopping time of the station. The fifth calculation unit is used to calculate the timetable cycle of any section of the train timetable based on the pure running time of the up and down train sections, the station interval time between the two adjacent stations, the tracking interval time of the single-track section, and the additional train time minutes of the two adjacent stations. The first building unit is used to construct a single-line running chart cycle model based on the running chart cycles of all intervals, and to set the constraints of the single-line running chart cycle model.

9. The line capacity calculation device under heavy-haul railway train group operation according to claim 8, characterized in that, The first building unit includes: The second construction unit is used to construct station interval time constraints based on the up and down train arrival intervals, the station interval time parameters, and the intra-group tracking interval time parameters; The third building unit is used to build arrival and departure line quantity constraints based on the number of trains in a single line group; The fourth building unit is used to build passing constraints based on the operation status of up and down trains at the station and the train passing methods at the station; The fifth construction unit is used to combine the station interval time constraint, the arrival and departure line number constraint, and the passing mode constraint as constraints for the single-line operation diagram cycle model.

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