Method and system for generating geometric irregularity spectrum of high-temperature superconducting pinning magnetic levitation permanent magnet track

Abstract

The invention provides a geometric irregularity spectrum generation method and system for a high-temperature superconductive pinning magnetic levitation permanent magnet track, and relates to the technical field of high-temperature superconductive pinning magnetic levitation, and the method comprises the steps: constructing a permanent magnet track-bridge finite element model; performing dynamic analysis based on the permanent magnet track-bridge finite element model, and calculating to obtain track dynamic displacement of a load acting point under a moving train load; filtering the track dynamic displacement based on a preset band-pass filter to obtain a periodic track irregularity sample of the permanent magnet track; simulating random geometric irregularity of the permanent magnet track based on a white noise filtering method to obtain a random irregularity sample of the permanent magnet track; and superposing the periodic track irregularity sample and the random irregularity sample of the permanent magnet track, and fitting based on a composite sample obtained by superposing to obtain an irregularity spectrum of the permanent magnet track. According to the method, the typical track irregularity spectrum capable of being used for dynamic simulation is generated, and the physical consistency and prediction precision of modeling are remarkably improved.

Description

Technical Field

[0001] The present invention relates to the technical field of high-temperature superconducting pinned maglev, and in particular to a method and system for generating a geometric irregularity spectrum of a high-temperature superconducting pinned maglev transportation permanent magnet track. Background Art

[0002] High-temperature superconducting pinned magnetic levitation technology utilizes the pinning effect between onboard superconductors and ground-based permanent magnets to achieve self-levitation and guidance control for the train. This technology offers advantages such as a simple structure, no need for active control, and high levitation stability. The system's levitation and guidance forces are highly dependent on the suspension gap, which is typically maintained between 10 and 30 mm and is sensitive to track structural errors. Therefore, track irregularities can directly lead to sudden changes in the gap, impacting the safety and comfort of train operation.

[0003] Currently, most high-temperature superconducting pinned maglev systems utilize elevated lines. During installation, their track structures are prone to periodic and random irregularities, such as misaligned joints and misaligned platforms. These irregularities can not only induce increased train vibration but also induce resonance at specific speeds, significantly impacting suspension stability and guidance performance. Existing research has focused on constructing track irregularity spectra for conventional conventional EMS maglev systems, often using wheel-rail system track spectra or static measurement data. These studies struggle to accurately reflect the structural characteristics and operating conditions of high-temperature superconducting pinned maglev systems, particularly the inherent periodic wavelength components of the maglev track structure.

[0004] With the completion and operation of my country's first high-temperature superconducting pinned maglev test line, it has become possible to study the irregularity characteristics of permanent magnet tracks under actual operating conditions. However, a comprehensive method for constructing irregularity spectra of permanent magnet tracks at different speed levels is currently lacking, making it difficult to provide effective excitation input for train dynamics simulation and structural design. Therefore, it is urgent to establish a method for generating irregularity spectra for high-temperature superconducting pinned maglev transit tracks that comprehensively considers the effects of structural periodicity, random perturbations, and operating speed to support dynamic performance analysis and design optimization of such systems. Summary of the Invention

[0005] The purpose of the present invention is to provide a method and system for generating a geometric irregularity spectrum of a high-temperature superconducting pinned maglev permanent magnet track to improve the above-mentioned problem. To achieve the above-mentioned purpose, the technical solution adopted by the present invention is as follows:

[0006] In a first aspect, the present application provides a method for generating a geometric irregularity spectrum of a high-temperature superconducting pinned magnetic levitation permanent magnet track, comprising:

[0007] Obtain the actual parameters of the high-temperature superconducting pinned maglev train and bridge structure, and construct a permanent magnet track-bridge finite element model;

[0008] Performing dynamic analysis based on the permanent magnet track-bridge finite element model to calculate the track dynamic displacement at the load application point under the load of the moving train;

[0009] filtering the track dynamic displacement based on a preset bandpass filter to obtain a periodic track irregularity sample of the permanent magnet track;

[0010] The random geometric irregularities of the permanent magnet track are simulated based on the white noise filtering method to obtain the random irregularities samples of the permanent magnet track.

[0011] The periodic track irregularity samples and random track irregularity samples of the permanent magnet track are superimposed, and the irregularity spectrum of the permanent magnet track is obtained by fitting based on the superimposed composite samples.

[0012] In a second aspect, the present application also provides a system for generating a geometric irregularity spectrum of a high-temperature superconducting pinned magnetic levitation permanent magnet track, comprising:

[0013] An acquisition unit is used to obtain the actual parameters of the high-temperature superconducting pinned maglev train and bridge structure, and to construct a permanent magnet track-bridge finite element model;

[0014] An analysis unit, configured to perform a dynamic analysis based on the permanent magnet track-bridge finite element model to calculate the track dynamic displacement of a load action point under the load of a moving train;

[0015] a filtering unit, configured to filter the track dynamic displacement based on a preset bandpass filter to obtain a periodic track irregularity sample of the permanent magnet track;

[0016] A simulation unit is used to simulate the random geometric irregularities of the permanent magnet track based on a white noise filtering method to obtain random irregularity samples of the permanent magnet track;

[0017] The fitting unit is used to superimpose the periodic track irregularity samples and the random track irregularity samples of the permanent magnet track, and to perform fitting based on the superimposed composite samples to obtain the irregularity spectrum of the permanent magnet track.

[0018] The beneficial effects of the present invention are:

[0019] This paper proposes a method for generating geometric irregularity spectra for high-temperature superconducting pinned maglev transportation permanent magnet tracks based on a combination of structural periodicity and velocity-dependent characteristics. This method comprehensively considers the track's structural characteristics, the spatial statistical distribution of irregularity errors, and the velocity-dependent excitation response characteristics. By spectrally decomposing the track's structural parameters, modeling typical wavelength partitions, and processing energy redistribution under the influence of operating speed, this method generates a typical track irregularity spectrum suitable for dynamic simulation. This provides a high-fidelity, tunable spectrum generation tool for vibration response analysis, track precision control, and operational safety assessment of high-temperature superconducting maglev systems. This significantly improves the physical consistency and prediction accuracy of system modeling, addressing the shortcomings of existing technologies in terms of spectrum construction dimensionality, frequency domain resolution, and practical adaptability.

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

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

[0022] Figure 1 Schematic diagram of the flow of the method for generating geometric irregularity spectrum of high-temperature superconducting pinned magnetic levitation permanent magnet track according to an embodiment of the present invention;

[0023] Figure 2 Schematic diagram of the structure of the high-temperature superconducting pinned magnetic levitation permanent magnet track geometric irregularity spectrum generation system described in an embodiment of the present invention.

[0024] In the figure: 701, acquisition unit; 702, analysis unit; 703, filtering unit; 704, simulation unit; 705, fitting unit. DETAILED DESCRIPTION

[0025] In order to make the purpose, technical solutions and advantages of the embodiments of the present invention clearer, the technical solutions in the embodiments of the present invention will be clearly and completely described below in conjunction with the drawings in the embodiments of the present invention. Obviously, the described embodiments are part of the embodiments of the present invention, not all of the embodiments. The components of the embodiments of the present invention generally described and shown in the drawings herein can be arranged and designed in various different configurations. Therefore, the following detailed description of the embodiments of the present invention provided in the drawings is not intended to limit the scope of the claimed invention, but merely represents selected embodiments of the present invention. Based on the embodiments of the present invention, all other embodiments obtained by ordinary technicians in this field without making creative work are within the scope of protection of the present invention.

[0026] It should be noted that similar reference numerals and letters represent similar items in the following drawings. Therefore, once an item is defined in one drawing, it does not need to be further defined or explained in subsequent drawings. At the same time, in the description of the present invention, the terms "first", "second", etc. are used only to distinguish the description and should not be understood as indicating or implying relative importance.

[0027] Example 1:

[0028] This embodiment provides a method for generating a geometric irregularity spectrum of a high-temperature superconducting pinned magnetic levitation permanent magnet track.

[0029] See also Figure 1 , the figure shows that the method includes step S1, step S2, step S3, step S4 and step S5.

[0030] Step S1, obtaining actual parameters of the high-temperature superconducting pinned maglev train and the bridge structure, and constructing a permanent magnet track-bridge finite element model;

[0031] It is understood that this step involves obtaining key dynamic parameters of the high-temperature superconducting pinned maglev train (such as vehicle mass, suspension module layout, superconductor gap stiffness, guide stiffness, etc.) and the physical parameters of the bridge structure (including span, height, material properties, support type, damping characteristics, etc.) through on-site surveys, sensor systems, or engineering design drawings to ensure that subsequent modeling accurately reflects the mechanical properties of the actual engineering system. In this step, step S1 includes steps S11 and S12.

[0032] Step S11: Equivalent the load of the high-temperature superconducting pinned maglev train to a uniformly distributed load under a single superconducting levitator, and the number and spacing of the loads are equivalent according to the actual position of the superconducting levitator. The load magnitude is determined according to the levitation force model to obtain equivalent structural parameters;

[0033] It can be understood that this step converts the suspension force generated by multiple superconducting suspension modules (superconducting levitators) during the operation of the train into an equivalent vertical uniformly distributed load acting at the center of each superconducting levitator, thereby avoiding the computational complexity and nonlinear solution difficulties brought about by detailed modeling of each magnetic levitation module. The number and spacing of loads are set according to the actual layout of the superconducting levitators on the train, usually referring to the layout diagram or design parameters of the superconducting magnet group at the bottom of the train to ensure that the spatial distribution of the load in the structural model remains true and consistent. This approach not only greatly reduces the complexity of the structural model, but also achieves effective simulation of the excitation effect of the magnetic levitation system while maintaining the key physical influence characteristics.

[0034] Step S12: Using the equivalent structural parameters through preset software to construct a permanent magnet track-bridge finite element model including a permanent magnet track, a track plate, a track beam, a support and a bridge pier.

[0035] It can be understood that this step uses professional finite element analysis software (such as ANSYS, ABAQUS, MIDAS, etc.) to build a complete permanent magnet track-bridge finite element model. The model includes key components such as permanent magnet track, track plate, track beam, support and bridge pier, so as to fully reflect the action mechanism and response behavior of the maglev system on the bridge structure. During the construction process, it is necessary to carry out detailed modeling based on the material properties (such as concrete, steel, composite materials, etc.), geometric dimensions and boundary conditions of each component. For example, the connection between the track plate and the track beam is represented by contact or rigid connection units, the rotation and sliding characteristics of the support need to be realized through elastic connection or multi-point constraint, and the bridge pier is given reasonable stiffness, mass and interaction with the foundation. Through this integrated modeling process, multi-scale linkage modeling from local (permanent magnet track) to overall (bridge structure) is realized, which can accurately simulate the vibration characteristics and response effects of the high-temperature superconducting pinned maglev train when passing through the bridge system. The technical effect of this step is to incorporate the coupling relationship between the maglev load and the bridge structure response into a unified analysis framework by constructing an integrated finite element model. This not only improves the simulation accuracy, but also provides a unified computing platform and physical basis for subsequent structural modal identification, dynamic response analysis, and model modification in heterogeneous environments.

[0036] Step S2: performing a dynamic analysis based on the permanent magnet track-bridge finite element model to calculate the track dynamic displacement of the load action point under the load of the moving train;

[0037] It can be understood that the actual dynamic response of the track-bridge system during maglev train operation can be restored with high precision, and the key structural displacement characteristics under real working conditions can be extracted, thereby providing a reliable simulation foundation and dynamic data support for subsequent system modal identification, parameter correction, and health monitoring. In this step, step S2 includes step S21 and step S22.

[0038] Step S21: performing boundary and excitation setting processing based on the permanent magnet track-bridge finite element model, wherein a preset time-varying moving load sequence representing the motion characteristics of the high-temperature superconducting pinned maglev train is applied to obtain boundary and load input conditions suitable for time history analysis;

[0039] It is understood that in this step, boundary treatment requires applying appropriate displacement constraints to the simply supported ends based on the actual bridge structure. For example, hinged supports can be placed at one end to constrain translational freedom, while sliding supports can be placed at the other end to allow for thermal expansion and contraction. The interaction between the piers and the foundation can also be modeled using elastic supports or damping elements to enhance the physical realism of the simulation boundaries. Regarding the excitation setup, a moving load sequence reflecting the motion characteristics of a high-temperature superconducting pinned maglev train is introduced as an external excitation input. This sequence is generated based on the load parameters equivalently derived in the previous step and takes into account the temporal and spatial variations of the train speed, superconducting levitators, and the levitation force, thereby forming a time-varying concentrated force loading sequence. This load sequence is programmatically moved along the track path in the model and acts on corresponding nodes or elements at specific time steps, enabling dynamic simulation of the entire train operation process. This excitation method can more accurately reflect the non-contact force transmission and motion control characteristics of the high-temperature superconducting maglev system.

[0040] Step S22: Perform dynamic analysis based on the boundary and load input conditions to obtain the dynamic displacement of the permanent magnet track at each load action point during the entire train operation process.

[0041] It is understood that in this step, as the train load moves on the track, each load application point will be dynamically updated in the model over time, and its effect on the structure will be reflected as the instantaneous displacement, velocity, and acceleration response of the track structure nodes at different times. The focus of this step is to extract the vertical dynamic displacement of each load application point on the track. By tracking and recording the dynamic response of key track nodes throughout the train passage process, a complete displacement-time series data can be generated, providing basic support for subsequent track deformation assessment, train-track coupling dynamic analysis, and modal identification.

[0042] Step S3: filtering the track dynamic displacement based on a preset bandpass filter to obtain a periodic track irregularity sample of the permanent magnet track;

[0043] It can be understood that this step filters the track dynamic displacement signal based on a preset bandpass filter. The dynamic displacement of the track generated during the operation of the high-temperature superconducting pinned maglev train contains multiple frequency components, including high-frequency vibrations induced by the train operation, as well as low-frequency drifts caused by the bridge's own natural frequency or environmental disturbances. The bandpass filter can effectively remove excessively high and low frequency components in the frequency domain, retaining only the signal components within the set frequency band, making the processing results more representative and analyzable. In this step, step S3 includes

[0044] Step S31: determining a bandpass filter corresponding to the wavelength of the track plate and the track beam based on the track dynamic displacement, and filtering through the determined bandpass filter to obtain periodic track dynamic displacement data;

[0045] It can be understood that in this step, the track plates and track beams are key components of the track structure, and their geometric dimensions and material properties determine their typical wavelength range and vibration characteristics. Through spectral analysis of the track dynamic displacement signal, the frequency bands corresponding to the inherent wavelengths of the track plates and track beams can be identified. Based on this analysis result, corresponding bandpass filters are designed for the track plates and track beams respectively to ensure that the passband of the filter accurately covers the frequency range corresponding to these wavelengths. This precise filtering can effectively extract the periodic response components of the track structure and eliminate other non-periodic or noise-interfered signal components. After filtering, the periodic track dynamic displacement data obtained is more representative and can accurately reflect the geometric irregularities caused by the inherent structural periodicity and installation characteristics of the track components themselves.

[0046] Step S32: simulating the creep camber deformation of a simply supported bridge based on a parabolic function, and replicating the periodic track dynamic displacement and the bridge creep deformation to generate displacement data of the same length;

[0047] It is understood that this step uses bandpass filters corresponding to the wavelengths of the track slabs and track beams to filter the dynamic displacement of the permanent magnet track, obtaining the track dynamic displacement affected by the periodic arrangement of the track slabs and track beams. Simultaneously, a parabolic function is used to simulate the creep camber deformation of a simply supported bridge. The parabolic expression for simulated creep camber is as follows:

[0048]

[0049] Among them, y creep is the creep deformation of the bridge, A is the creep amplitude; L is the span of the bridge, and x is the longitudinal coordinate of the bridge.

[0050] Step S33: Superimpose the periodic track dynamic displacement data and the bridge creep deformation displacement data to obtain a periodic irregularity sample of the permanent magnet track.

[0051] It can be understood that this step superimposes the calculated dynamic displacement of the periodic permanent magnet track and the parabola simulated creep camber expression to obtain a spatial sample of the periodic irregularity of the permanent magnet track. The superposition formula is as follows:

[0052] Y comp =y creep +y p

[0053] Among them, Y comp is the result of superimposed unevenness; y creep is the creep deformation of the bridge; p is the periodic dynamic displacement of the permanent magnet track under the load of the moving train.

[0054] Step S4, simulating the random geometric irregularities of the permanent magnet track based on a white noise filtering method to obtain a random irregularity sample of the permanent magnet track;

[0055] It can be understood that this step can generate high-quality simulation samples that conform to the random geometric irregularities of permanent magnet tracks in actual engineering projects, providing a scientific basis for the subsequent superposition of periodic irregularities and irregularity spectrum fitting. This significantly improves the authenticity and diversity of the permanent magnet track irregularity excitation input, thereby more effectively supporting the accurate simulation analysis of the dynamic performance of high-temperature superconducting pinned maglev trains. In this step, step S4 includes steps S41, S42, and S43.

[0056] Step S41: selecting a target simulation spatial wavelength range and setting an upper limit of the irregularity amplitude according to preset requirements of the permanent magnet track geometric irregularity characteristics, thereby obtaining a wavelength-amplitude control parameter set for the irregularity simulation;

[0057] It can be understood that this step first predetermines the spatial wavelength range and amplitude upper limit required to simulate the unevenness based on the actual engineering characteristics and design specifications of the high-temperature superconducting pinned maglev permanent magnet track. The core of this step is to accurately define the physical scale and amplitude limit of the track unevenness to ensure that the simulation results are consistent with engineering reality and can effectively reflect the key unevenness characteristics of the track. By selecting a reasonable wavelength range, various random geometric perturbations from local subtle fluctuations to larger-scale structural changes can be covered. At the same time, the setting of the amplitude upper limit avoids excessive and unreasonable deformation in the simulation, ensuring the physical rationality and safety of the simulation data. Finally, these parameters are organized into a wavelength-amplitude control parameter set to provide an accurate input basis for subsequent white noise generation and filtering processing.

[0058] Step S42: using a (0, 1) uniform distribution method to process the wavelength-amplitude control parameter set of the unevenness simulation to generate a white noise sequence;

[0059] It is understandable that this step utilizes a uniformly distributed random number generation technique, randomly sampling within the range of 0 to 1 to construct a basic random sequence representing the spatial perturbations of the permanent magnet track. The advantage of this method lies in its simple and uniform statistical characteristics, which can effectively simulate the non-determinism and irregularity of random track irregularities, providing a basic and unbiased random excitation source for subsequent filtering processing. The white noise sequence generated by this uniform distribution can evenly reflect various random geometric irregularity components across different wavelength ranges, avoiding bias in a single band and ensuring the diversity and authenticity of the simulated track irregularities.

[0060] Step S43: Filter the white noise sequence by constructing a bandpass filter that matches the wavelength range of the white noise sequence, extract the spatial disturbance component within the effective frequency band, and obtain a sample of random geometric irregularities of the permanent magnet track.

[0061] It's understandable that filtering in this step confines the randomness of the white noise to the physical scale of the actual track structure, making the generated random irregularity samples more consistent with the spatial characteristics and actual geometric error distribution of the permanent magnet track. This process combines signal processing technology with the practical requirements of structural dynamics, effectively improving the accuracy and physical realism of the track random irregularity simulation.

[0062] Step S5: superimpose the periodic track irregularity samples and the random track irregularity samples of the permanent magnet track, and perform fitting based on the superimposed composite samples to obtain the irregularity spectrum of the permanent magnet track.

[0063] It can be understood that this step constructs a highly realistic and representative permanent magnet track irregularity spectrum through superposition and fitting, significantly improving the accuracy and engineering guidance value of the simulation of the dynamic response of the maglev system to track irregularity excitation, and helping to optimize the safety and comfort of the maglev train design. In this step, step S5 includes step S51 and step S52.

[0064] Step S51, using the Welch method to calculate the permanent magnet track irregularity power density spectrum of the composite sample;

[0065] It can be understood that this step uses the Welch method to calculate the power density spectrum of permanent magnet track irregularity. The principle is to divide the track irregularity data into L partially overlapping segments, calculate the power spectrum of each segment, and finally average the power spectrum of each segment as the final power spectrum result. Specifically, the calculation formula for calculating the power density spectrum of each segment is as follows:

[0066]

[0067] Among them, S i (ω) is the power density spectrum value of each segment; x i(m) is the track irregularity data of the i-th segment; N is the length of the irregularity sample; u(m) is the window function; ω is the spatial frequency; M is the normalization factor, m represents the m-th data point in the irregularity sample, and j is the imaginary unit. Its calculation formula is as follows:

[0068]

[0069] The final calculation result of track irregularity power density spectrum S(ω) is:

[0070]

[0071] Where S(ω) is the final calculation result of the power density spectrum; L is the number of track irregularity data segments.

[0072] Step S52: Taking the permanent magnet track irregularity power density spectrum as a target, fitting is performed based on a fourth-order polynomial and a Lorentz function to obtain a fitted permanent magnet track irregularity spectrum.

[0073] It is understood that this step fits the rate density spectrum according to the following steps:

[0074] First, use a 4th-order polynomial to fit the random part of the uneven spectrum:

[0075] log10(S r (f))=a0+a1log10(f)+a2log10(f) 2 +…+a n log10(f) n

[0076] Secondly, the Lorentz function is used to fit the periodic component peak:

[0077]

[0078] The fitting formula of the permanent magnet track irregularity spectrum containing periodic components is obtained:

[0079]

[0080] Where S(f) is the orbital irregularity spectrum of the integrated periodicity; Q is the number of spectrum peaks, a0, a1…a n 、 and γ are fitting parameters; f is the spatial frequency; f p,i is the spatial frequency corresponding to the i-th spectrum peak; S r (f) is the random irregularity fitting component of the irregularity spectrum.

[0081] As can be understood, this step simultaneously captures both the overall broadband trend and the local peaks in the track irregularity spectrum. The fourth-order polynomial is primarily responsible for describing the smoothly varying portion of the irregularity spectrum, reflecting the gradual changes in the overall track geometry. The Lorentz function, on the other hand, is specifically used to characterize peaks in the spectrum caused by periodic track defects or structural resonances, and possesses excellent local feature fitting capabilities. This dual-model fitting strategy overcomes the potential overfitting and underfitting issues associated with single-function fitting, improving both accuracy and robustness.

[0082] Example 2:

[0083] like Figure 2 As shown, this embodiment provides a system for generating geometric irregularity spectrum of high temperature superconducting pinned magnetic levitation permanent magnet track, see Figure 2 The system includes an acquisition unit 701 , an analysis unit 702 , a filtering unit 703 , a simulation unit 704 and a fitting unit 705 .

[0084] An acquisition unit 701 is used to acquire actual parameters of the high-temperature superconducting pinned maglev train and the bridge structure, and to construct a permanent magnet track-bridge finite element model;

[0085] An analysis unit 702 is configured to perform a dynamic analysis based on the permanent magnet track-bridge finite element model to calculate the track dynamic displacement of the load application point under the load of the moving train;

[0086] A filtering unit 703 is configured to filter the track dynamic displacement based on a preset bandpass filter to obtain a periodic track irregularity sample of the permanent magnet track;

[0087] A simulation unit 704 is configured to simulate random geometric irregularities of the permanent magnet track based on a white noise filtering method to obtain random irregularity samples of the permanent magnet track;

[0088] The fitting unit 705 is configured to superimpose the periodic track irregularity samples and the random track irregularity samples of the permanent magnet track, and perform fitting based on the superimposed composite samples to obtain an irregularity spectrum of the permanent magnet track.

[0089] It should be noted that, regarding the system in the above embodiment, the specific manner in which each module performs operations has been described in detail in the embodiment of the method, and will not be elaborated on here.

[0090] The foregoing description is merely a preferred embodiment of the present invention and is not intended to limit the present invention. Those skilled in the art will readily appreciate that various modifications and variations of the present invention are possible. Any modifications, equivalent substitutions, or improvements made within the spirit and principles of the present invention are intended to be within the scope of protection of the present invention.

[0091] 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 modifications or substitutions that can be easily conceived by a person 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 based on the scope of protection of the claims.

Claims

1. A method for generating geometric irregularity spectrum of high-temperature superconducting pinned magnetic levitation permanent magnet track, characterized in that: include: Obtain the actual parameters of the high-temperature superconducting pinned maglev train and bridge structure, and construct a permanent magnet track-bridge finite element model; Performing dynamic analysis based on the permanent magnet track-bridge finite element model to calculate the track dynamic displacement at the load application point under the load of the moving train; filtering the track dynamic displacement based on a preset bandpass filter to obtain a periodic track irregularity sample of the permanent magnet track; The random geometric irregularities of the permanent magnet track are simulated based on the white noise filtering method to obtain the random irregularities samples of the permanent magnet track. The periodic track irregularity samples and random track irregularity samples of the permanent magnet track are superimposed, and the irregularity spectrum of the permanent magnet track is obtained by fitting based on the superimposed composite samples.

2. The method for generating geometric irregularity spectrum of high-temperature superconducting pinned magnetic levitation permanent magnet track according to claim 1 is characterized in that , and construct a permanent magnet track-bridge finite element model, including: The load of the high-temperature superconducting pinned maglev train is equivalent to a uniformly distributed load under a single superconducting levitator, and the number and spacing of the loads are equivalent according to the actual position of the superconducting levitator. The load magnitude is determined according to the levitation force model to obtain the equivalent structural parameters. The equivalent structural parameters are used to construct a permanent magnet track-bridge finite element model containing a permanent magnet track, a track plate, a track beam, a support and a bridge pier through preset software.

3. The method for generating geometric irregularity spectrum of high-temperature superconducting pinned magnetic levitation permanent magnet track according to claim 1 is characterized in that Based on the permanent magnet track-bridge finite element model, dynamic analysis is performed to calculate the track dynamic displacement of the load point under the moving train load, including: Boundary and excitation settings are performed based on a permanent magnet track-bridge finite element model. By applying a preset time-varying moving load sequence representing the motion characteristics of a high-temperature superconducting pinned maglev train, boundary and load input conditions suitable for time history analysis are obtained. Based on the boundary and load input conditions, dynamic analysis processing is performed to obtain the dynamic displacement of the permanent magnet track at each load action point during the entire train operation process.

4. The method for generating geometric irregularity spectrum of high-temperature superconducting pinned magnetic levitation permanent magnet track according to claim 1 is characterized in that , filtering the track dynamic displacement based on a preset bandpass filter to obtain a periodic irregularity sample of the permanent magnet track, including: Determine the bandpass filter corresponding to the wavelength of the track plate and the track beam based on the track dynamic displacement, and filter through the determined bandpass filter to obtain periodic track dynamic displacement data; The creep deformation of a simply supported bridge is simulated based on a parabolic function, and the periodic track dynamic displacement and bridge creep deformation are replicated to generate displacement data of the same length. The periodic track dynamic displacement and bridge creep deformation displacement data are superimposed to obtain the periodic irregularity samples of the permanent magnet track.

5. The method for generating geometric irregularity spectrum of high-temperature superconducting pinned magnetic levitation permanent magnet track according to claim 1 is characterized in that ,Based on the white noise filtering method, the random geometric irregularities of permanent magnet track are simulated, including: According to the preset permanent magnet track geometric irregularity characteristics, the spatial wavelength range of the target simulation is selected and the upper limit of the irregularity amplitude is set to obtain the wavelength-amplitude control parameter set for the irregularity simulation; The wavelength-amplitude control parameter set of the uneven simulation is processed using a (0,1) uniform distribution method to generate a white noise sequence; By constructing a bandpass filter that matches the wavelength range of the white noise sequence, the white noise sequence is filtered and the spatial disturbance component within the effective frequency band is extracted to obtain the random geometric irregularity samples of the permanent magnet track.

6. A high-temperature superconducting pinned magnetic levitation permanent magnet track geometric irregularity spectrum generation system, characterized in that: include: An acquisition unit is used to obtain the actual parameters of the high-temperature superconducting pinned maglev train and bridge structure, and to construct a permanent magnet track-bridge finite element model; An analysis unit, configured to perform a dynamic analysis based on the permanent magnet track-bridge finite element model to calculate the track dynamic displacement of a load action point under the load of a moving train; a filtering unit, configured to filter the track dynamic displacement based on a preset bandpass filter to obtain a periodic track irregularity sample of the permanent magnet track; A simulation unit is used to simulate the random geometric irregularities of the permanent magnet track based on a white noise filtering method to obtain random irregularity samples of the permanent magnet track; The fitting unit is used to superimpose the periodic track irregularity samples and the random track irregularity samples of the permanent magnet track, and to perform fitting based on the superimposed composite samples to obtain the irregularity spectrum of the permanent magnet track.

7. The high-temperature superconducting pinned maglev permanent magnet track geometric irregularity spectrum generation system according to claim 6, characterized in that: The acquisition unit includes: The first acquisition subunit is used to equate the load of the high-temperature superconducting pinned maglev train to a uniformly distributed load under a single superconducting levitator, and to equate the number and spacing of the loads according to the actual position of the superconducting levitator. The load magnitude is determined according to the levitation force model to obtain equivalent structural parameters; The second acquisition subunit is used to construct a permanent magnet track-bridge finite element model containing a permanent magnet track, a track plate, a track beam, a support and a bridge pier by using the equivalent structural parameters through preset software.

8. The high-temperature superconducting pinned maglev permanent magnet track geometric irregularity spectrum generation system according to claim 6, characterized in that: The analysis unit comprises: The first analysis subunit is used to perform boundary and excitation setup processing based on the permanent magnet track-bridge finite element model. In this case, a preset time-varying moving load sequence representing the motion characteristics of the high-temperature superconducting pinned maglev train is applied to obtain boundary and load input conditions suitable for time history analysis; The second analysis subunit is used to perform dynamic analysis based on the boundary and load input conditions to obtain the dynamic displacement of the permanent magnet track at each load action point during the entire train operation process.

9. The high-temperature superconducting pinned maglev permanent magnet track geometric irregularity spectrum generation system according to claim 6, characterized in that: The filtering unit comprises: A first filtering subunit is configured to determine a bandpass filter corresponding to the wavelength of the track plate and the track beam based on the track dynamic displacement, and to perform filtering using the determined bandpass filter to obtain periodic track dynamic displacement data; The second filtering subunit is used to simulate the creep camber deformation of a simply supported bridge based on a parabolic function, and to replicate the periodic track dynamic displacement and bridge creep deformation to generate displacement data of the same length; The third filtering subunit is used to superimpose the periodic track dynamic displacement and bridge creep deformation displacement data to obtain the periodic irregularity samples of the permanent magnet track.

10. The high-temperature superconducting pinned magnetic levitation permanent magnet track geometric irregularity spectrum generation system according to claim 6, characterized in that: The simulation unit comprises: The first simulation subunit is used to select the spatial wavelength range of the target simulation and set the upper limit of the irregularity amplitude according to the preset permanent magnet track geometric irregularity characteristics, and obtain the wavelength-amplitude control parameter set for the irregularity simulation; The second simulation subunit is configured to process the wavelength-amplitude control parameter set of the uneven simulation using a (0, 1) uniform distribution method to generate a white noise sequence; The third simulation subunit is used to filter the white noise sequence by constructing a bandpass filter that matches the wavelength range of the white noise sequence, extract the spatial disturbance component within the effective frequency band, and obtain a random geometric irregularity sample of the permanent magnet track.

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