Magnetic levitation turnout and linear configuration method thereof

Abstract

The application relates to rail transit technology, in particular to a magnetic suspension turnout line type and a construction method thereof, which constructs an efficient and reliable turnout line type under the condition of meeting various requirements, and comprises the following steps: determining the minimum switching distance and the minimum curve radius of a magnetic suspension turnout beam according to the limit condition of a magnetic suspension train; determining the safety index and the comfort index according to the engineering construction difficulty; determining the driving speed of the train passing through the turnout; calculating the first transition curve length, the constant, the terminal horizontal coordinate, the terminal vertical coordinate, the terminal heading angle and the length angle; calculating the vertical angle of the second transition curve; p represents the angle of the circular curve, if p>0, the turnout line type is composed of the first transition curve, the circular curve and the second transition curve; if p<=0, p=0 is taken, and the turnout line type is composed of the first transition curve and the second transition curve.

Description

Technical Field

[0001] This invention relates to rail transit technology, and in particular to a magnetic levitation turnout line type and its construction method. Background Technology

[0002] Maglev tracks generally employ a beam structure, and maglev turnouts use track beams to switch between two lines to allow trains to pass. The track alignment design of maglev turnouts differs from that of railway turnouts. Due to the high speeds of trains (for example, ultra-high-speed maglev trains can reach speeds of up to 1000 km / h), trains must simultaneously consider both safety and stability indicators when passing through turnouts.

[0003] When maglev trains pass through switches at different speeds, the minimum curve radius of the switches varies depending on the required safety and comfort levels, thus affecting the switch alignment. At lower train speeds, the minimum curve radius is influenced by vehicle clearance, thus affecting the switch alignment; while at higher train speeds, the minimum curve radius is affected by speed, safety, and comfort indicators, thus influencing the switch alignment.

[0004] When there are differences in vehicle clearance requirements, the minimum curve radius of the turnout is fixed when the train speed is low, and the turnout alignment is less affected by the speed. When the train speed is high, the minimum curve radius of the turnout is related to the speed, safety indicators, and comfort indicators, and the turnout alignment is more affected by the speed.

[0005] When construction conditions are relatively difficult, safety and comfort requirements can be relaxed, resulting in differences in turnout alignment and a relatively shorter total turnout length. Conversely, when construction conditions are moderate, safety and comfort requirements are tightened, leading to differences in turnout alignment and a relatively longer total turnout length.

[0006] It can be seen that the design of maglev turnout alignment is affected by different passing speeds, different safety and comfort indicators, and different vehicle clearance conditions. There are complex mutual influences among these different factors, which work together to affect the final turnout alignment.

[0007] However, the current design of maglev turnout lines cannot simultaneously meet the requirements for throughput speed, safety, and comfort. Summary of the Invention

[0008] The embodiments of the present invention provide a method for constructing a magnetic levitation turnout line, which constructs an efficient and reliable turnout line while meeting various requirements.

[0009] According to one aspect of the present invention, a method for constructing a magnetic levitation turnout track configuration is provided, comprising:

[0010] S1: Determine the minimum turnout h and minimum curve radius R of the maglev turnout beam based on the boundary conditions of the maglev train;

[0011] S2: Based on the difficulty of the project construction, determine the safety index a and the comfort index b. Under difficult conditions, the safety index limit is a1 and the comfort index limit is b1; under normal conditions, the safety index limit is a2 and the comfort index limit is b2.

[0012] S3: Determine the train's speed v as it passes the turnout, and perform the following steps S31-S39:

[0013] S31: Calculate the length of the first transition curve segment Ls = (a-0)·v / b, where the values ​​of a and b are selected as a1, b1 or a2, b2 respectively according to the difficulty of the project construction;

[0014] S32: Calculate the first transition curve constant C=Ls·Rm, where Rm is the minimum curve radius;

[0015] S33: Calculate the x-coordinate of the endpoint of the first transition curve:

[0016]

[0017] S34: Calculate the ordinate of the endpoint of the first transition curve:

[0018]

[0019] S35: Calculate the heading angle at the end of the first transition curve: m = Ls 2 / 2C;

[0020] S36: Calculate the length angle of the first transition curve, that is, the arctangent angle of the ratio of the vertical to the horizontal direction within the range through which the first transition curve passes:

[0021]

[0022] S37: Calculate the vertical angle of the second transition curve, that is, the angle between the starting point of the second transition curve (the end point of the turnout alignment) and the longitudinal axis:

[0023] , where p represents the angle of the circular curve;

[0024] S38: The vertical projection segments of the first transition curve, circular curve, and second transition curve in the turnout alignment are represented as h3, h2, and h1, respectively, where h = h1 + h2 + h3, and...

[0025] h3=Y

[0026]

[0027] ;

[0028] S39: Solve for p based on S38.

[0029] If p > 0, the turnout alignment consists of a first transition curve, a circular curve, and a second transition curve. The curve elements of the turnout alignment include: transition curve length Ls; transition curve turning angle m; circular curve radius Rm; circular curve turning angle p; circular curve length p·Rm; total turnout length 2Ls + p·Rm; turnout turning angle 2m + p.

[0030] If p≤0, then p=0 is taken. The turnout alignment consists of the first transition curve and the second transition curve. The curve elements of the turnout alignment include: the length of the transition curve Ls; the turning angle of the transition curve m; the total length of the turnout 2Ls; and the turning angle of the turnout 2m.

[0031] Preferably, in any embodiment,

[0032] If the train's speed v ≤ (R·a) when passing through the switch 1 / 2 Then the minimum curve radius Rm = R;

[0033] If the train's speed v when passing through the switch is greater than (R·a) 1 / 2 Then the minimum curve radius R m =v 2 / a.

[0034] Preferably, in any embodiment,

[0035] If p > 0, the x and y coordinates of any point on the first transition curve of the turnout alignment are:

[0036]

[0037]

[0038] in ∈[0, Ls];

[0039] The x and y coordinates of any point on the circular curve of the turnout alignment are:

[0040]

[0041]

[0042] in ∈[0, p];

[0043] The x and y coordinates of any point on the second transition curve of the turnout alignment are:

[0044]

[0045]

[0046] in ∈[Ls, 0].

[0047] Preferably, in any embodiment,

[0048] If p≤0, the x and y coordinates of any point on the first transition curve of the turnout alignment are:

[0049]

[0050]

[0051] in ∈[0, Ls];

[0052] The x and y coordinates of any point on the second curve of the turnout alignment are:

[0053]

[0054]

[0055] in ∈[Ls, 0].

[0056] According to another aspect of the present invention, a magnetic levitation turnout configuration is provided, which is constructed by the magnetic levitation turnout configuration construction method as described in the present invention.

[0057] The magnetic levitation turnout line type and its construction method provided by the embodiments of the present invention can construct an efficient and reliable turnout line type while meeting various requirements. Attached Figure Description

[0058] To more clearly illustrate the technical solutions in the embodiments of the present invention or the prior art, the accompanying drawings used in the description of the embodiments or the prior art will be discussed below. Obviously, the technical solutions described in conjunction with the accompanying drawings are only some embodiments of the present invention. For those skilled in the art, other embodiments and their accompanying drawings can be obtained based on the embodiments shown in these drawings without creative effort.

[0059] Figure 1 This is a schematic diagram of the structure of a magnetic levitation turnout line according to an embodiment of the present invention.

[0060] Figure 2 This is a detailed diagram of the structure of each segment of the magnetic levitation turnout line according to an embodiment of the present invention.

[0061] Figure 3 This is a schematic diagram of the structure of a magnetic levitation turnout line according to an embodiment of the present invention.

[0062] Figure 4 This is a schematic diagram of the structure of a magnetic levitation turnout line according to another embodiment of the present invention. Detailed Implementation

[0063] The technical solutions of various embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only a part of the embodiments of the present invention, and not all of them. Based on the embodiments described in the present invention, all other embodiments obtained by those skilled in the art without creative effort are within the scope of protection of the present invention.

[0064] The embodiments of the present invention provide a method for constructing a magnetic levitation turnout line, which constructs an efficient and reliable turnout line while meeting various requirements.

[0065] According to one aspect of the present invention, a method for constructing a magnetic levitation turnout track configuration is provided, comprising:

[0066] S1: Determine the minimum turnout h and minimum curve radius R of the maglev turnout beam based on the boundary conditions of the maglev train (e.g., related to the shape of the train or bogie parameters). These two parameters are related to the inherent dimensions of the vehicle structure. When there are differences in the size or structure of the maglev train, these two parameters will also change. These two parameters are the most basic parameters for turnout line design.

[0067] S2: Based on the difficulty of the engineering construction, determine the safety index 'a' and the comfort index 'b'. Under difficult conditions, the safety index limit is a1, and the comfort index limit is b1; under normal conditions, the safety index limit is a2, and the comfort index limit is b2. (In the design of maglev turnout alignments, safety and comfort indices are important constraints. When a train passes the turnout at a certain speed, the actual indices must not exceed the limits. These limits can change according to the changes in the referenced standard limits in the actual engineering requirements. The limits can be set as needed in specific applications, for example, a1 ≤ 1.5 m / s.) 2 b1≤1.0 m / s 3 a2≤1.0 m / s 2 b2≤0.5 m / s 3 );

[0068] S3: Determine the train's speed v as it passes the turnout, and perform the following steps S31-S39:

[0069] S31: Calculate the length of the first transition curve segment Ls = (a-0)·v / b, where the values ​​of a and b are selected as a1, b1 or a2, b2 respectively according to the difficulty of the project construction;

[0070] S32: Calculate the first transition curve constant C=Ls·Rm, where Rm is the minimum curve radius;

[0071] S33: Calculate the x-coordinate of the endpoint of the first transition curve (where r = Rm):

[0072]

[0073] S34: Calculate the ordinate of the endpoint of the first transition curve (where r = Rm):

[0074]

[0075] S35: Calculate the heading / turn angle at the end of the first transition curve: m = Ls 2 / 2C

[0076] S36: Calculate the length angle of the first transition curve, that is, the arctangent angle of the ratio of the vertical distance Y to the horizontal distance X within the range through which the first transition curve passes:

[0077]

[0078] S37: Calculate the vertical angle of the second transition curve, that is, the angle between the starting point of the second transition curve (or the end point of the turnout alignment) and the longitudinal axis (y-axis):

[0079] , where p represents the angle of the circular curve (e.g., which may connect the first and second transition curves);

[0080] S38: The vertical projection segments of the first transition curve, circular curve, and second transition curve in the turnout alignment are represented as h3, h2, and h1, respectively (see, for example, [reference needed]). Figure 2 The vertical distance spanned by the entire turnout alignment is h = h1 + h2 + h3, where,

[0081] h3=Y

[0082]

[0083]

[0084] S39: Solve for p based on S38.

[0085] If p > 0, then the turnout alignment consists of a first transition curve (or transition curve one), a circular curve, and a second transition curve (or transition curve two) (see, for example, [link to relevant documentation]). Figure 3 The curve elements of the turnout alignment include: transition curve length Ls; transition curve turning angle m; circular curve radius Rm; circular curve turning angle p; circular curve length p·Rm; total turnout length 2Ls+p·Rm; turnout turning angle 2m+p;

[0086] If p≤0, then p=0 is taken, and the turnout alignment is composed of the first transition curve (or transition curve one) and the second transition curve (or transition curve two) (see, for example). Figure 4 The curve elements of the turnout alignment include: transition curve length Ls; transition curve turning angle m; total turnout length 2Ls; and turnout turning angle 2m.

[0087] Thus, in maglev turnout alignments, regardless of train speed, the turnout alignment always includes a transition curve (e.g., a spiral curve). This typically consists of a first transition curve segment, a circular curve segment (which can be omitted in certain cases, i.e., its length is zero), and a second transition curve segment, as shown below. Figure 1 As shown. Due to the influence of the rate of change of acceleration, if the straight section of the turnout / exit does not transition through a turnout alignment with a transition curve, but instead directly connects to a circular curve, the rate of change of centrifugal acceleration will be infinite, making it difficult to meet the comfort index requirements.

[0088] In addition, considering the clearance conditions of the train (which directly affect the minimum curve radius R and minimum turnout h of the turnout line type), in order to match the requirements of speed, safety and comfort indicators, a minimum curve radius limit value Rm related to the train clearance conditions is set; in order to meet the minimum turnout h requirement in the train clearance, the turnout line type is reasonably constructed according to the circular curve angle p, and two designs can be provided according to the actual situation: "first transition curve, circular curve, second transition curve" and "first transition curve, second transition curve".

[0089] The described magnetic levitation turnout design method can accommodate low-speed, medium-speed, and high-speed applications, constructing turnout configurations suitable for actual operating speeds. Regarding safety and comfort, the method fully utilizes maximum safety and comfort indicators in turnout configuration design. For safety, the minimum curve radius of the transition curve (boomerang) and circular curve can be set based on the maximum safety limit (i.e., minimizing the feasible curve radius), thus minimizing the turnout configuration length while meeting safety requirements. For comfort, since the rate of change of centrifugal acceleration is the same at every point on the transition curve (boomerang), a turnout configuration using a boomerang shape can be constructed based on the maximum comfort limit, maximizing the use of boomerang characteristics to ensure maximum comfort at every point on the transition curve, thereby minimizing the turnout configuration length while meeting comfort requirements. As can be seen from the above, regardless of safety or comfort indicators, the turnout line constructed by the magnetic levitation turnout line construction method described in this application, which adopts a spiral-shaped transition curve, can achieve the shortest possible length while meeting the indicators, thereby improving construction and operation efficiency and saving construction costs.

[0090] Therefore, it can be seen that the magnetic levitation turnout line construction method provided by the embodiments of the present invention can construct an efficient and reliable turnout line while meeting various requirements.

[0091] Optionally, in one embodiment, the transition curve may be a spiral curve (or cycloid). Due to the nature of the spiral curve, when a train passes through it at a certain speed, the rate of change of acceleration is a constant value regardless of the train's speed. Under specified comfort conditions, the maximum rate of change of acceleration can be fully utilized. The rate of change of acceleration is equal at every point on the spiral curve. Thus, compared to transition curves of other shapes, using a spiral curve allows for a shorter length, which is not only more efficient and reliable but also reduces the length of the turnout beam, thereby reducing the amount of switching equipment and the length of maintenance, directly lowering the project cost and maintenance expenses.

[0092] Optionally, in one embodiment, the first transition curve and the second transition curve have the same curve shape. Therefore, the curve equations (r·l=C) of the first and second transition curves are the same, that is, the transition curve constant C is the same. For example, the first and second transition curves may be symmetrical with respect to the turnout center point.

[0093] Preferably, in any embodiment,

[0094] If the train's speed v ≤ (R·a) when passing through the switch 1 / 2 Then the minimum curve radius Rm = R;

[0095] If the train's speed v when passing through the switch is greater than (R·a) 1 / 2 Then the minimum curve radius R m =v 2 / a.

[0096] In this way, depending on the speed of the maglev train, a suitable minimum curve radius can be provided at both low and high speeds to achieve safe and reliable passage.

[0097] Preferably, in any embodiment,

[0098] If p > 0, the x and y coordinates of any point on the first transition curve of the turnout alignment are:

[0099]

[0100]

[0101] in ∈[0, Ls];

[0102] The x and y coordinates of any point on the circular curve of the turnout alignment are:

[0103]

[0104]

[0105] in ∈[0, p];

[0106] The x and y coordinates of any point on the second transition curve of the turnout alignment are:

[0107]

[0108]

[0109] in ∈[Ls, 0].

[0110] Thus, after determining the turnout alignment type (consisting of the first transition curve, circular curve, and second transition curve), a method for calculating the horizontal and vertical coordinates of any point on the turnout alignment curve can be given in a rectangular coordinate system. In actual engineering implementation, the spatial coordinates of the turnout beam can be accurately calculated according to the calculation method provided in this patent.

[0111] Preferably, in any embodiment,

[0112] If p≤0, the x and y coordinates of any point on the first transition curve of the turnout alignment are:

[0113]

[0114]

[0115] in ∈[0, Ls];

[0116] The x and y coordinates of any point on the second curve of the turnout alignment are:

[0117]

[0118]

[0119] in ∈[Ls, 0].

[0120] Thus, after determining the turnout alignment type (consisting of the first transition curve and the second transition curve), a method for calculating the horizontal and vertical coordinates of any point on the turnout alignment curve can be given in a rectangular coordinate system. In the actual implementation of the project, the spatial coordinates of the turnout beam can be accurately calculated according to the calculation method provided by this patent.

[0121] According to another aspect of the present invention, a magnetic levitation turnout configuration is provided, which is constructed by the magnetic levitation turnout configuration construction method as described in the present invention.

[0122] Figure 1 This is a schematic diagram of the structure of a magnetic levitation turnout line according to an embodiment of the present invention. Figure 2 This is a detailed diagram of the structure of each segment of the magnetic levitation turnout line according to an embodiment of the present invention.

[0123] In such Figure 1 and Figure 2 As can be seen in the illustrated embodiment, the magnetic levitation turnout is connected between the straight section entering the turnout and the straight section exiting the turnout, and can be composed of two transition curve sections and a circular curve section connecting them. Figure 2 The diagram shows the relationship and detailed parameters of the first transition curve (or transition curve one), the circular curve, and the second transition curve (or transition curve two) of the magnetic levitation turnout line constructed by the magnetic levitation turnout line construction method in this embodiment.

[0124] The magnetic levitation turnout line provided by the embodiments of the present invention can realize the safe and reliable passage of ultra-high-speed magnetic levitation trains under different passing speed conditions, under different comfort and safety index limitations, and under different turnout distance limitations.

[0125] The magnetic levitation turnout line type and its construction method provided by the embodiments of the present invention can construct an efficient and reliable turnout line type while meeting various requirements.

[0126] It should be noted that, in this document, relational terms such as "first" and "second" are used only to distinguish one entity or operation from another, and do not necessarily require or imply any such actual relationship or order between these entities or operations. Furthermore, the terms "comprising," "including," or any other variations thereof are intended to cover non-exclusive inclusion, such that a process, method, article, or apparatus that comprises a list of elements includes not only those elements but also other elements not expressly listed, or elements inherent to such a process, method, article, or apparatus. Without further limitations, an element defined by the phrase "comprising one..." does not exclude the presence of other identical elements in the process, method, article, or apparatus that includes said element.

[0127] In the description of multiple elements in this document, multiple parallel features connected by "and / or" refer to the inclusion of one or more (or one or more) of these parallel features. For example, "first element and / or second element" means one or more of the first element and the second element, that is, only the first element, or only the second element, or the first element and the second element (both exist simultaneously).

[0128] The various embodiments provided in this invention can be combined with each other as needed. For example, features from any two, three or more embodiments can be combined to form new embodiments of this invention, which are also within the protection scope of this invention, unless otherwise stated or technically contradictory and cannot be implemented.

[0129] The above description is merely an exemplary embodiment of the present invention and is not intended to limit the present invention. 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.

Claims

1. A method for constructing a magnetic levitation turnout track configuration, characterized in that, include: S1: Determine the minimum turnout h and minimum curve radius R of the maglev turnout beam based on the boundary conditions of the maglev train; S2: Based on the difficulty of the project construction, determine the safety index a and the comfort index b. Under difficult conditions, the safety index limit is a1 and the comfort index limit is b1; under normal conditions, the safety index limit is a2 and the comfort index limit is b2. S3: Determine the train's speed v as it passes the turnout, and perform the following steps S31-S39: S31: Calculate the length of the first transition curve segment Ls = a·v / b, where the values ​​of a and b are selected as a1, b1 or a2, b2 respectively according to the difficulty of the project construction; S32: Calculate the first transition curve constant C=Ls·Rm, where Rm is the minimum curve radius; S33: Calculate the x-coordinate of the endpoint of the first transition curve: ； Where r = Rm; S34: Calculate the ordinate of the endpoint of the first transition curve: ； S35: Calculate the heading angle at the end of the first transition curve: m = Ls 2 / 2C; S36: Calculate the length angle of the first transition curve, that is, the arctangent angle of the ratio of the vertical to the horizontal direction within the range through which the first transition curve passes: ； S37: Calculate the vertical angle of the second transition curve, that is, the angle between the starting point of the second transition curve and the vertical axis: Where m represents the turning angle of the transition curve and p represents the angle of the circular curve; S38: The vertical projection segments of the first transition curve, circular curve, and second transition curve in the turnout alignment are represented as h3, h2, and h1, respectively, where h = h1 + h2 + h3, and... h3=Y ； ； S39: Solve for p based on S38. If p > 0, the turnout alignment consists of a first transition curve, a circular curve, and a second transition curve. The curve elements of the turnout alignment include: transition curve length Ls; transition curve turning angle m; circular curve radius Rm; circular curve turning angle p; circular curve length p·Rm; total turnout length 2Ls + p·Rm; turnout turning angle 2m + p. If p≤0, then p=0 is taken. The turnout alignment consists of the first transition curve and the second transition curve. The curve elements of the turnout alignment include: the length of the transition curve Ls; the turning angle of the transition curve m; the total length of the turnout 2Ls; and the turning angle of the turnout 2m.

2. The method for constructing the magnetic levitation turnout line type as described in claim 1, characterized in that, If the train's speed v ≤ (R·a) when passing through the switch 1 / 2 Then the minimum curve radius Rm = R; If the train's speed v when passing through the switch is greater than (R·a) 1 / 2 Then the minimum curve radius R m =v 2 / a.

3. The method for constructing the magnetic levitation turnout line type as described in claim 1, characterized in that, If p > 0, the x and y coordinates of any point on the first transition curve of the turnout alignment are: ； ； in ∈[0, Ls]; The x and y coordinates of any point on the circular curve of the turnout alignment are: ； ； in ∈[0, p]; The x and y coordinates of any point on the second transition curve of the turnout alignment are: ； ； in ∈[Ls, 0].

4. The method for constructing the magnetic levitation turnout line type as described in claim 1, characterized in that, If p≤0, the x and y coordinates of any point on the first transition curve of the turnout alignment are: ； ； in ∈[0, Ls]; The x and y coordinates of any point on the second curve of the turnout alignment are: ； ； in ∈[Ls, 0].

5. A magnetic levitation turnout, characterized in that, The alignment of the magnetic levitation turnout is constructed using the magnetic levitation turnout alignment construction method as described in any one of claims 1-4.

Images