Topological optimization method, apparatus and device for coil mounting seat
By optimizing the material distribution of the coil mount through topology optimization methods and models, the design gap of the coil mount for high-temperature superconducting electric levitation trains was solved, the compatibility of static and dynamic suspension was achieved, and a lightweight and high-strength installation solution was provided.
Patent Information
- Application Number
- PCT/CN2024/096048
- Authority / Receiving Office
- WO · WO
- Patent Type
- Applications
- Current Assignee / Owner
- Priority Date
- 2024-04-16
- Filing Date
- 2024-05-29
- Publication Date
- 2025-10-23
AI Technical Summary
The existing technology lacks an optimized solution for the coil mounting base of high-temperature superconducting electric levitation trains, and cannot simultaneously meet the installation and load-bearing requirements of the suspension and excitation coils of static suspension, as well as the installation and load-bearing requirements of the traction coils and zero-flux figure-8 coils of dynamic suspension.
The topology optimization method is used to calculate the position and range of the main electromagnetic force transmission interface. Combined with the topology optimization model, the material distribution of the coil mount is optimized to meet the constraints of electromagnetic force transmission and design a lightweight and high-strength coil mount.
The coil mounting seat has been optimized to meet the installation load requirements of both static and dynamic suspension, filling the design gap and laying the foundation for the engineering application of high-temperature superconducting electric suspension trains.
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Figure CN2024096048_23102025_PF_FP_ABST
Abstract
Description
A coil mounting seat topology optimization method, device and equipment TECHNICAL FIELD
[0001] The present application claims priority to the domestic application filed on April 16, 2024, with the China Patent Office and with application number CN202410457987.3, and entitled “A coil mounting seat topology optimization method, device and equipment”, the entire content of which is incorporated herein by reference. BACKGROUND
[0002] High-temperature superconducting electric suspension is a new type of transportation vehicle that combines high-temperature superconducting technology and magnetic suspension technology. This technology takes advantage of the zero-resistance property of high-temperature superconducting materials, allowing large currents to be passed through and strong magnetic fields to be generated. Through the interaction between the on-board superconducting magnet and the ground coil magnetic field, a non-contact transportation mode is achieved, relying on magnetic force for support, guidance, and driving.
[0003] When the train is running, the strong magnetic field generated by the superconducting magnet is opposite in direction to the ground coil magnetic field, and the two magnetic fields generate a repulsive force. When the repulsive force is greater than the weight of the vehicle, the vehicle will float up. Therefore, superconducting electric suspension uses the relative motion between the superconducting magnet placed on the vehicle and the passive coil laid on the U-shaped track to generate a suspension force to lift the vehicle body. The strong repulsive force generated between the superconductor and the guide rail enables the vehicle to complete electric suspension lifting and running.
[0004] When the vehicle is displaced downward, the distance between the superconducting magnet and the suspension coil decreases, and the current increases, resulting in an increase in the suspension force, which automatically restores the vehicle to its original suspension position. This gap is related to the speed, and generally the vehicle body can only be suspended at 100 km / h. The matching relationship between the suspension, guidance gap and electromagnetic force of superconducting electric suspension at different speed levels needs to be studied, but the scaled or full-size test line for high-speed domain occupies a large space and requires high investment. To solve the above problems, static suspension and excitation coils are arranged on both sides of the track, and by analyzing the current passing through the zero-flux coil at different speeds, the current is loaded in reverse, so that the electric suspension train can be statically suspended at a fixed position to study the matching relationship between the suspension, guidance gap and electromagnetic force.
[0005] The mounting seat of the magnetic levitation train needs to meet the suspension, excitation coil mounting and bearing requirements of static suspension, as well as the mounting and bearing requirements of the traction coil and zero-flux 8-shaped coil of dynamic suspension. There is no optimization scheme for related mounting seats in the prior art.
[0006] SUMMARY
[0007] Therefore, the embodiments of the present application provide a coil mounting seat topology optimization method, device and equipment to provide an optimization scheme for a coil mounting seat.
[0008] To achieve the above object, embodiments of the present application provide the following technical solutions:
[0009] A coil mounting seat topology optimization method, comprising:
[0010] An area of a single-side U-shaped track of a high-temperature superconducting electric suspension train is acquired and marked as an initial design domain;
[0011] Based on the sinking amount of a static suspension coil and an excitation coil in cooperation with a center line of a superconducting magnet, the center line height of the superconducting magnet, the outer contour size of the static suspension coil and the outer contour size of the excitation coil in the initial design domain, a position and a range of a main electromagnetic force transmission interface in the initial design domain in a static suspension process are calculated and recorded as a first area:
[0012] Based on the relative position of a traction coil and an 8-shaped coil to the center line of the superconducting magnet in the electric suspension process of the high-temperature superconducting electric suspension train in the initial design domain, a position and a range of a main electromagnetic force transmission interface in the initial design domain in the electric suspension process are calculated and recorded as a second area;
[0013] In a target working condition, the static suspension coil and the excitation coil are calculated for electromagnetic force in the static suspension process, a first maximum value and a first direction of the electromagnetic force are obtained, and the electromagnetic force corresponding to the first maximum value and the first direction is applied to the first area;
[0014] In the target working condition, the traction coil and the 8-shaped coil are calculated for electromagnetic force in the electric suspension process, a second maximum value and a second direction of the electromagnetic force are obtained, and the electromagnetic force corresponding to the second maximum value and the second direction is applied to the second area;
[0015] The initial design domain after the electromagnetic force is applied to the first area and the second area is optimized by using a topology optimization model, the optimized initial design domain is taken as a target coil mounting seat, a design variable of the topology optimization model is the density of a unit in the corrected initial design domain, a target value of the topology optimization model is the minimum result flexibility, and a constraint condition is that a volume fraction is less than a preset value and a maximum Mises stress is not more than a target threshold.
[0016] Optionally, in the coil mounting seat topology optimization method, after the initial design domain after the electromagnetic force is applied to the first area and the second area is optimized by using the topology optimization model, the method further comprises:
[0017] The target coil mounting seat is smoothed;
[0018] Load the target working condition to the target coil mounting seat after smoothing processing under static suspension working condition and electric suspension respectively, check the target coil mounting seat after smoothing processing, judge whether the maximum Mises stress of the target coil mounting seat exceeds the target threshold value, and judge whether the maximum deformation of the target coil mounting seat exceeds the preset deformation amount.
[0019] Optionally, in the coil mounting seat topology optimization method, the target threshold value is N% of the yield limit of the manufacturing material of the coil mounting seat, N is not less than 80 and not more than 100, and the preset deformation amount is not less than 0 and not more than 1 mm.
[0020] Optionally, in the coil mounting seat topology optimization method, the value of N is 85, and the value of the preset deformation amount is 0.5 mm.
[0021] Optionally, in the coil mounting seat topology optimization method, when the maximum Mises stress of the coil mounting seat exceeds the target threshold value, or the maximum deformation of the coil mounting seat exceeds the preset deformation amount, the step of continuing to optimize the initial design domain after the position and range of the main electromagnetic force transmission interface are corrected by using a topology optimization model is performed.
[0022] Optionally, in the coil mounting seat topology optimization method, when the maximum Mises stress of the coil mounting seat exceeds the target threshold value, or the maximum deformation of the coil mounting seat exceeds the preset deformation amount, the method further comprises:
[0023] Counting the number of times of optimizing the initial design domain after the position and range of the main electromagnetic force transmission interface are corrected by using a topology optimization model;
[0024] Judging whether the counted number of times reaches a target number of times, if the target number of times is reached, selecting a next selected material as a manufacturing material of the initial design domain, controlling the counted number of times to be zero, and continuing to perform the step of optimizing the initial design domain after the position and range of the main electromagnetic force transmission interface are corrected by using a topology optimization model.
[0025] Optionally, in the coil mounting seat topology optimization method, before obtaining the static suspension load of the high-temperature superconducting electric suspension train corresponding to the target working condition, the method further comprises:
[0026] Obtaining a preset running parameter limit value of the high-temperature superconducting electric suspension train;
[0027] Determining an extreme working condition corresponding to a worst running state of the high-temperature superconducting electric suspension train based on the preset running parameter limit value, and taking the extreme working condition as the target working condition.
[0028] A coil mounting seat topology optimization device comprises:
[0029] An optimization object acquisition unit is configured to acquire and mark a single-side U-shaped track region of a high-temperature superconducting electrically levitated train as an initial design domain;
[0030] A calculation unit is configured to calculate a position and a range of a main electromagnetic force transmission interface in the initial design domain in a static levitation process based on a sinking amount of a center line of a superconducting magnet, a height of the center line of the superconducting magnet, an outer contour size of the static suspension coil and an outer contour size of the excitation coil in the initial design domain, and record the position and the range as a first region; and calculate a position and a range of a main electromagnetic force transmission interface in the initial design domain in an electrically levitated process based on a relative position of the center line of the superconducting magnet in the electrically levitated process of the high-temperature superconducting electrically levitated train, and record the position and the range as a second region.
[0031] A correction unit is configured to calculate electromagnetic forces of the static suspension coil and the excitation coil and the superconducting magnet in the static levitation process under a target working condition, obtain a first maximum value and a first direction of the electromagnetic forces, and apply the electromagnetic forces corresponding to the first maximum value and the first direction to the first region; and calculate electromagnetic forces of the traction coil and the figure-8 coil and the superconducting magnet in the electrically levitated process under the target working condition, obtain a second maximum value and a second direction of the electromagnetic forces, and apply the electromagnetic forces corresponding to the second maximum value and the second direction to the second region.
[0032] An optimization unit is configured to optimize the initial design domain after the electromagnetic forces are applied to the first region and the second region by using a topology optimization model, and take the optimized initial design domain as a target coil mounting seat, wherein a design variable of the topology optimization model is a density of a cell in the corrected initial design domain, a target value of the topology optimization model is a minimum result compliance, and a constraint condition is that a volume fraction is less than a preset value and a maximum Mises stress is not more than a target threshold.
[0033] A coil mounting seat topology optimization device, comprising a memory and a processor;
[0034] The memory is configured to store a program.
[0035] The processor is configured to execute the program to implement each step of the coil mounting seat topology optimization method.
[0036] Based on the technical scheme, the scheme provided by the embodiment of the present application marks the single-side U-shaped track region of the high-temperature superconducting electric suspension train as an initial design domain; calculates the position and range of the main electromagnetic force transmission interface in the initial design domain in the static suspension process, and records it as a first region; calculates the position and range of the main electromagnetic force transmission interface in the initial design domain in the electric suspension process, and records it as a second region; in the target working condition, the electromagnetic force between the static suspension coil, the excitation coil and the superconducting magnet is calculated in the static suspension process, to obtain a first maximum value and a first direction of the electromagnetic force, and the electromagnetic force corresponding to the first maximum value and the first direction is applied to the first region; the electromagnetic force between the traction coil and the 8-shaped coil and the superconducting magnet is calculated in the electric suspension process, to obtain a second maximum value and a second direction of the electromagnetic force, and the electromagnetic force corresponding to the second maximum value and the second direction is applied to the second region; and then a topology optimization model is used to optimize the initial design domain, and the optimization result is used as the target coil mounting seat, so that the design optimization of the coil mounting seat is realized. BRIEF DESCRIPTION OF DRAWINGS
[0037] In order to more clearly illustrate the technical solutions in the embodiments of the present application or the prior art, the following will briefly introduce the drawings needed to be used in the embodiments or the prior art description. Obviously, the drawings in the following description are only some embodiments of the present application, and other drawings can be obtained by those skilled in the art without creative labor on the basis of the provided drawings.
[0038] Fig. 1 is a flowchart of the coil mounting seat topology optimization method disclosed by the embodiment of the present application;
[0039] Fig. 2 is a structural schematic diagram of the initial design domain disclosed by the embodiment of the present application;
[0040] Fig. 3 is a structural schematic diagram of the target coil mounting seat obtained by the optimization of the present application;
[0041] Fig. 4 is a structural schematic diagram of the coil mounting seat topology optimization device disclosed by the embodiment of the present application;
[0042] Fig. 5 is a structural schematic diagram of the coil mounting seat topology optimization device disclosed by the embodiment of the present application. DETAILED DESCRIPTION
[0043] The technical solutions in the embodiments of the present application will be described clearly and completely below with reference to the drawings in the embodiments of the present application. Obviously, the described embodiments are only some of the embodiments of the present application, not all. Based on the embodiments in the present application, all other embodiments obtained by those skilled in the art without creative labor are within the scope of protection of the present application.
[0044] First, the professional technical terms used in this application are explained:
[0045] Super deep cooling: generally at a working temperature below-180℃, about-200℃, using liquid nitrogen equipment for refrigeration.
[0046] Strong magnetic field: super strong magnetic field refers to a magnetic field above 5T (Tesla) generated by superconducting technology, and also includes super high strength magnetic field generated by pulse technology, or hybrid magnet technology or super high power electromagnet technology.
[0047] High vacuum: when the vacuum degree is lower than 1.333×10-1~1.333×10-6Pa, it is called high vacuum.
[0048] Superconducting magnet: superconducting magnet refers to a kind of electromagnet made of second superconductor with high transition temperature and critical magnetic field coil at low temperature. Its main feature is that there is no electric loss caused by wire resistance, and there is no magnetic loss caused by the existence of iron core.
[0049] Traction force, suspension force and guiding force: electromagnetic force generated by superconducting magnet and ground traction coil and 8-shaped coil magnetic field.
[0050] Topology optimization: a mathematical method for optimizing material distribution in a given area according to given load conditions, constraints and performance indicators, which is a kind of structure optimization.
[0051] Static suspension coil: the coil that makes the superconducting magnet float in the static suspension test process.
[0052] Excitation coil: the coil that simulates alternating magnetic field in the static suspension test process.
[0053] Traction coil: the coil that provides traction force for superconducting test vehicle in the electric suspension test process.
[0054] 8-shaped coil: the coil that provides suspension and guiding force for superconducting test vehicle in the electric suspension test process.
[0055] The application provides a coil mounting seat topology optimization method, which can meet the mounting and bearing requirements of suspension and excitation coils for static suspension, and the mounting and bearing requirements of traction coils and zero magnetic flux 8-shaped coils for dynamic suspension, fills the design blank of four-in-one mounting seat, and lays a foundation for engineering application of high temperature superconducting electric suspension train.
[0056] Referring to FIG. 1, the coil mounting seat topology optimization method disclosed in the embodiment of the application can include:
[0057] Step S101: obtaining and marking the high temperature superconducting electric suspension train single side U-shaped track region as the initial design domain.
[0058] The single-side U-shaped track region of the high-temperature superconducting electric suspension train is the original topological structure of the coil mounting seat to be optimized in the application, which is marked as the initial design domain in the present scheme.
[0059] In this step, first, the top-level design parameters (existing scheme parameters) of the high-temperature superconducting electric suspension test vehicle are obtained, including the superconducting magnet center line height A: 550 mm (the height of the ground distance from the superconducting magnet center line), the static suspension coil and the excitation coil outer contour size (B: 780 mm (in the vehicle length direction) C: 660 mm (in the vehicle height direction)), the vehicle length D: 1600 mm, the vehicle width E: 1000 mm, the sinking amount F: 100 mm, and the outer contour size of the traction coil and the eight-shaped coil (G: 340 mm (in the vehicle length direction) H: 330 mm (in the vehicle height direction)). Then, based on the top-level design parameters, the rectangular range of the initial design domain (single-side U-shaped track region) is determined as 2D mm in the vehicle length direction, 1 / 3E mm in the vehicle width direction, and 2A mm in the vehicle height direction.
[0060] Step S102: The electromagnetic force main transmission interface position and range in the initial design domain in the static suspension process are calculated, which is recorded as the first region.
[0061] After the initial design domain is determined, based on the design parameters of the initial design domain, the sinking amount of the static suspension coil and the excitation coil and the superconducting magnet cooperating center line, the superconducting magnet center line height, the outer contour size of the static suspension coil, and the outer contour size of the excitation coil can be calculated.
[0062] Among them, the sinking amount of the static suspension coil and the excitation coil and the superconducting magnet cooperating center line: the static suspension coil functions to suspend the maglev vehicle by interacting with the superconducting coil in the superconducting magnet of the vehicle body, and the excitation coil functions to load electromagnetic excitation and act on the superconducting coil to investigate the response of the maglev vehicle under the action of electromagnetic excitation. The center line of the static suspension coil and the excitation coil is 1 / 2 of the longitudinal length, and the center line positions of the two coils are the same. The center line of the superconducting coil is also 1 / 2 of the longitudinal length. The static suspension coil needs to cooperate with the superconducting coil to suspend the vehicle body, and the sinking amount, i.e. the distance between the center lines of the static suspension coil and the superconducting coil, determines whether a large enough electromagnetic force can be generated to suspend the vehicle. In the existing design, the sinking amount can be 100 mm or other.
[0063] The superconducting magnet center line height substantially refers to the height of the ground distance from the superconducting magnet center line. In the existing design, the superconducting magnet center line height can be 550 mm or other.
[0064] The outer contour size of the static suspension coil and the outer contour size of the excitation coil are determined according to design specifications, for example, in the existing design, the outer contour size of the static suspension coil and the outer contour size of the excitation coil can be 780 mm and 660 mm respectively.
[0065] After the above data is determined, the electromagnetic force main transmission interface position and range in the initial design domain in the static suspension process are calculated based on the sinking amount of the static suspension coil and the excitation coil and the superconducting magnet mutual cooperation center line, the superconducting magnet center line height, the outer contour size of the static suspension coil and the outer contour size of the excitation coil.
[0066] Specifically, the main transmission interface position is determined by the design parameters in the top-level design parameters, which can include: the superconducting magnet center line height A of the high-temperature superconducting electric suspension test vehicle, the sinking amount F of the static suspension coil and the excitation coil and the superconducting magnet mutual cooperation center line, the outer contour size in the vehicle height direction C of the static suspension coil and the excitation coil, the outer contour size in the vehicle length direction B of the static suspension coil and the excitation coil, and the vehicle width E. Specifically, the marking result of the electromagnetic force main transmission interface position in the static suspension process is: in the vehicle height direction, taking the track plane as the reference, the upper limit of the interface position is (A-F)+1 / 2C, and the lower limit of the interface position is (A-F)-1 / 2C; in the vehicle length direction, taking the vehicle center line as the reference, the upper limit of the interface position is +1 / 2B, and the lower limit of the interface position is -1 / 2B; in the vehicle width direction, taking the surface of the design domain close to the vehicle body as the reference, the interface position range is 0-1 / 6Emm. Through the above marking data, the electromagnetic force main transmission interface position in the static suspension process can be determined.
[0067] The electromagnetic force main transmission range in the static suspension process is obtained by passing the rated current in the specified coil through the electromagnetic force simulation analysis according to the prior art, for example, the excitation coil passes a rated current of 7KA, the static suspension coil passes a rated current of 11KA, the traction coil and the suspension coil pass a rated current of 105A, and the electromagnetic force main transmission range of the corresponding coil can be obtained through the electromagnetic force simulation analysis.
[0068] After the electromagnetic force main transmission interface position and the main transmission range are determined, the first area is marked based on the interface position and the range, as shown in area A in FIG. 2.
[0069] Step S103: The electromagnetic force main transmission interface position and range in the initial design domain in the electric suspension process are calculated, which is recorded as the second area.
[0070] In this step, the marking method of the electromagnetic force main transmission interface position in the electric suspension process is similar to the marking method of the main transmission interface position in step S102. Specifically, the marking result of the electromagnetic force main transmission interface position in the initial design domain in the electric suspension process is:
[0071] The interface position is determined by the initial design parameters. In the vehicle height direction, the upper boundary of the interface position is (A-F)+1 / 4H, and the lower boundary of the interface position is (A-F)-1 / 4H. In the vehicle length direction, the upper boundary of the interface position is +1 / 2G, and the lower boundary of the interface position is -1 / 2G. In the vehicle width direction, the interface position range is 0-1 / 6Emm, with the surface of the design domain close to the vehicle body as the reference. Wherein, H is the outer contour size of the traction coil and the eight-shaped coil in the vehicle height direction. G is the outer contour size of the traction coil and the eight-shaped coil in the vehicle length direction. Through the above calibration data, the electromagnetic force main transmission interface position in the electric suspension process can be determined.
[0072] In this step, the electromagnetic force mainly refers to the traction force, suspension force, and guiding force, i.e., the electromagnetic force generated by the repulsion between the superconducting magnet and the ground traction coil and the eight-shaped coil magnetic field. The main transmission range of the electromagnetic force can also be obtained by passing the rated current in the specified coil (superconducting magnet, ground traction coil, eight-shaped coil) and performing electromagnetic force simulation analysis.
[0073] After determining the electromagnetic force main transmission interface position and the main transmission range, the second region is calibrated based on the interface position and range, as shown in region B in FIG. 2.
[0074] Step S104: In the target working condition, the electromagnetic force between the static suspension coil, the excitation coil, and the superconducting magnet is calculated in the static suspension process to obtain the first maximum value and the first direction of the electromagnetic force.
[0075] This step first determines the target working condition, which is the working condition of the electromagnetic force of the high-temperature superconducting electric suspension train under the most severe working condition. The electromagnetic force between the static suspension coil and the excitation coil and the superconducting magnet in the static suspension process of the train under this working condition is calculated to obtain the maximum value and direction of the electromagnetic force. For example, 49.2 KN in the z+ direction, 44 KN in the y- direction, 2 KN in the x+ direction, and 2 KN in the x- direction.
[0076] In determining the target working condition, the preset running parameter limit value of the high-temperature superconducting electric suspension train can be obtained first. Then, based on the preset running parameter limit value, the worst running state of the high-temperature superconducting electric suspension train is determined to correspond to an extreme working condition, and the extreme working condition is taken as the target working condition.
[0077] Step S105: The electromagnetic force corresponding to the first maximum value and the first direction is applied to the first region.
[0078] In this step, the first maximum value and the first direction of the electromagnetic force can be loaded on the finite element calculation software in the entire area of the first region.
[0079] Step S106: Based on the calculation of the electromagnetic force between the traction coil, the 8-shaped coil and the superconducting magnet in the electric suspension process under the target working condition, the second maximum value and the second direction of the electromagnetic force are obtained.
[0080] The process is the same as that in step S103.
[0081] Step S107: The electromagnetic force corresponding to the second maximum value and the second direction is applied to the second region.
[0082] The process is the same as that in step S104.
[0083] Step S108: The initial design domain after the electromagnetic force is applied to the first region and the second region is optimized by using a topology optimization model, and the optimized initial design domain is used as the target coil mounting seat.
[0084] The design variable of the topology optimization model is the density of the elements in the corrected initial design domain, the target value of the topology optimization model is the minimum result compliance, and the constraint condition is that the volume fraction is less than a preset value and the maximum Mises stress does not exceed a target threshold.
[0085] In this step, after the first maximum value and the first direction corresponding electromagnetic force is applied to the first area of the initial design domain and the second maximum value and the second direction of the electromagnetic force is applied to the second area of the initial design domain, the initial design domain is optimized by using a topology optimization model. In the optimization of the initial design domain, the Young's modulus of the cells in the design domain is multiplied by a predetermined penalty function. The design variable of the topology optimization model is the density of the cells in the initial design domain. The target value is the minimum result flexibility. The constraint condition is that the volume fraction is less than a predetermined value and the maximum Mises stress does not exceed the target threshold. The flexibility of the initial design domain is related to the density of the cells in the initial design domain. The change of the density of the cells in the initial design domain will affect the flexibility of the initial design domain. By meshing the initial design domain, thousands of small design domain cells are obtained. Each cell has material properties, one of which is cell density. The optimization model can determine whether the density of each cell is 0 or 1 during the optimization process. If it is 1, the cell is retained. If it is 0 after optimization, the cell is deleted, thereby obtaining the optimal material distribution form. The scheme can adjust the density of the cells in the initial design domain by using the topology optimization model, so that the initial design domain can obtain the minimum flexibility under the constraint condition that the volume fraction is less than a predetermined value and the maximum Mises stress does not exceed the target threshold. At this time, the optimized initial design domain is the design target, that is, the target coil mounting seat, as shown in FIG. 3. It can be seen that the coil mounting seat design method of the present application can simultaneously meet the installation and bearing requirements of the levitation coil, the excitation coil for static suspension, and the traction coil and zero-magnetic 8-shaped coil for dynamic suspension, fill the design gap of the four-in-one mounting seat, and lay the foundation for the engineering application of high-temperature superconducting electrically suspended trains.
[0086] In the scheme, the topology optimization model is a pre-constructed mathematical model. By solving the mathematical model, the material distribution form of the coil mounting seat that contributes most to bearing electromagnetic force can be obtained. The model optimizes the topology structure of the design space of the coil mounting seat to achieve the purpose of solving the optimal coil mounting seat design scheme. The algorithm can help engineers reduce material consumption and cost as much as possible under the premise of ensuring product performance and quality. The generation process of the model can include: establishing a mathematical model, which usually includes a design space, an objective function, and constraint conditions. Design personnel can configure the design space, the objective function, and the constraint conditions according to the design requirements and the design form of the coil mounting seat. The design space refers to the set of all possible design schemes. In the topology optimization process, the design space is usually defined as a three-dimensional network model. Each grid element in the three-dimensional network model represents a design variable. These grid elements can be assigned as solid or blank. The objective function refers to the performance index that needs to be minimized or maximized. In the topology optimization process, the objective function is usually defined as the material consumption or the structural mass index. In the scheme, the objective function is the minimum flexibility. The constraint condition refers to the limit condition that needs to be met, such as stress, displacement, self-weight, etc. In the scheme, the constraint condition is that the volume fraction is less than a preset value and the maximum Mises stress does not exceed a target threshold. Once the mathematical model is established, an optimization algorithm can be used to calculate the optimal solution of the design target. In the existing scheme, an iterative method is usually used to obtain the optimal solution. In each iteration process, the optimal variable of the design target is updated.
[0087] Further, after the target coil mounting seat is designed by using the topology optimization model, the target coil mounting seat can be verified again. Specifically, referring to FIG. 2, the verification process includes: performing smoothing processing on the coil mounting seat, loading the target working condition to the smoothed target coil mounting seat under static suspension working condition and electric suspension, respectively, judging whether the maximum Mises stress of the target coil mounting seat loaded with the target working condition exceeds a target threshold, and judging whether the maximum deformation of the target coil mounting seat exceeds a preset deformation variable. If the target threshold is exceeded or the preset deformation variable is exceeded, it indicates that the target coil mounting seat does not meet the design requirements, and step S108 needs to be re-executed to optimize the initial design domain after the main electromagnetic force transmission interface position and range are corrected by using the topology optimization model, until the target coil mounting seat that meets the requirements is obtained. If the target threshold is not exceeded and the preset deformation variable is not exceeded, it indicates that the target coil mounting seat meets the design requirements, and the target coil mounting seat can be output.
[0088] In the embodiment, when the maximum Mises stress of the coil mounting seat exceeds a target threshold value or the maximum deformation of the coil mounting seat exceeds a preset deformation amount, the number of times of optimization of the initial design domain by using the topology optimization model (one target coil mounting seat is obtained, and the number of times is increased by one) is counted, it is judged whether the counted number of times reaches a target number of times, if the target number of times is reached, it is indicated that the material of the model may have a problem, the next selected material can be selected as the manufacturing material of the initial design domain, the counted number of times is cleared, and the step of optimizing the initial design domain after the position and range of the main electromagnetic force transmission interface are corrected by using the topology optimization model is continuously executed. Until the target coil mounting seat after smoothing is checked and passed.
[0089] In the embodiment, the target threshold value is N% of the yield limit of the manufacturing material of the coil mounting seat, N is not less than 80 and not more than 100, for example, N can be 85, and the preset deformation amount is not less than 0 and not more than 1 mm, for example, the preset deformation amount can be 0.5 mm.
[0090] From the above scheme, the technical scheme disclosed in the present application firstly determines the single-side U-shaped track region of the high-temperature superconducting electric suspension train as the initial design domain; secondly, according to the sinking amount of the static suspension coil and the excitation coil in cooperation with the center line of the superconducting magnet, the height of the superconducting magnet center line of the high-temperature superconducting electric suspension test vehicle, and the outer contour size of the static suspension coil and the excitation coil, the position and range of the main electromagnetic force transmission interface in the static suspension process are determined. According to the relative position of the traction coil and the 8-shaped coil to the center line of the superconducting magnet in the electric suspension process, the position and range of the main electromagnetic force transmission interface in the traction, suspension and guidance in the electric suspension process are determined; thirdly, the target working condition is determined, and according to the electromagnetic force calculation of the static suspension coil and the excitation coil in the static suspension process and the superconducting magnet, the maximum value and direction of the electromagnetic force under the target working condition are determined and loaded to the above-mentioned main electromagnetic force transmission interface position and range in the static suspension process. According to the electromagnetic force calculation of the traction and 8-shaped coil and the superconducting magnet in the electric suspension process, the maximum value and direction of the electromagnetic force under the target working condition are determined and loaded to the above-mentioned main electromagnetic force transmission interface position and range in the electric suspension process. Thirdly, a topology optimization model is established, the density of the unit corresponding to the initial design domain after the above processing is taken as a design variable, the Young's modulus of the unit in the initial design domain is multiplied by a penalty function, the optimization target is set to be the minimum flexibility, the constraint is that the volume fraction is not more than 20%, the eddy current effect is avoided due to the large plane, the maximum Mises stress is not more than 85% of the material yield limit, the topology optimization is performed, and the initial design domain with light weight, high strength and high rigidity is obtained as the target coil mounting seat structure; finally, the target coil mounting seat is smoothed, and the above structure is loaded for checking. If the maximum Mises stress is not more than 85% of the material yield limit and the maximum deformation is not more than 0.5mm, the design requirements are met, and if not, the iteration optimization is re-performed. Thus, the target coil mounting seat designed in the present application can meet the suspension, excitation coil mounting and bearing requirements in the static suspension process, and the installation and bearing requirements of the traction coil and the zero-magnetic 8-shaped coil in the dynamic suspension process.
[0091] In the embodiment, a coil mounting seat topology optimization device is disclosed. The specific working content of each unit in the device is described in the above method embodiment.
[0092] The coil mounting seat topology optimization device provided in the embodiment of the present application is described below. The coil mounting seat topology optimization device described below can be correspondingly referred to the coil mounting seat topology optimization method described above.
[0093] Referring to FIG. 4, the coil mounting seat topology optimization device can include:
[0094] An optimization object acquisition unit 10 is configured to acquire and mark the single-side U-shaped track region of the high-temperature superconducting electric suspension train as the initial design domain.
[0095] The computing unit 20 is used for calculating the position and range of the main electromagnetic force transmission interface in the initial design domain in the static suspension process based on the sinking amount of the center line of the superconducting magnet, the height of the center line of the superconducting magnet, the outer contour size of the static suspension coil and the outer contour size of the excitation coil in the initial design domain, and recording the position and range as a first area; and calculating the position and range of the main electromagnetic force transmission interface in the initial design domain in the electric suspension process based on the relative position of the center line of the superconducting magnet, the traction coil and the figure-8 coil in the high-temperature superconducting electric suspension train in the initial design domain, and recording the position and range as a second area.
[0096] The correction unit 30 is used for calculating the electromagnetic force of the static suspension coil and the excitation coil in the static suspension process under the target working condition, obtaining the first maximum value and the first direction of the electromagnetic force, and applying the electromagnetic force corresponding to the first maximum value and the first direction to the first area; and calculating the electromagnetic force of the traction coil and the figure-8 coil in the electric suspension process under the target working condition, obtaining the second maximum value and the second direction of the electromagnetic force, and applying the electromagnetic force corresponding to the second maximum value and the second direction to the second area.
[0097] The optimization unit 40 is used for optimizing the initial design domain after the electromagnetic force is applied to the first area and the second area by using a topology optimization model, taking the optimized initial design domain as a target coil mounting seat, taking the density of the cells in the corrected initial design domain as the design variable of the topology optimization model, taking the minimum result flexibility as the target value of the topology optimization model, and taking the volume fraction less than a preset value and the maximum Mises stress not exceeding a target threshold as the constraint condition.
[0098] Fig. 5 is a hardware structure diagram of the coil mounting seat topology optimization equipment provided by the embodiment of the present application, as shown in Fig. 5, which can include at least one processor 100, at least one communication interface 200, at least one memory 300 and at least one communication bus 400.
[0099] In the embodiment of the present application, the number of the processor 100, the communication interface 200, the memory 300 and the communication bus 400 is at least one, and the processor 100, the communication interface 200 and the memory 300 complete the communication among each other through the communication bus 400; obviously, the communication connection shown in the processor 100, the communication interface 200, the memory 300 and the communication bus 400 shown in Fig. 5 is only optional;
[0100] Optionally, the communication interface 200 can be the interface of the communication module, such as the interface of the GSM module.
[0101] The processor 100 can be a central processing unit CPU, or an application specific integrated circuit ASIC, or one or more integrated circuits configured to implement embodiments of the present application.
[0102] The memory 300 can include a high-speed RAM memory, and can also include a non-volatile memory, such as at least one disk memory.
[0103] The processor 100 is specifically configured to:
[0104] An initial design domain is marked for a single-side U-shaped track region of a high-temperature superconducting electrically levitated train.
[0105] Based on the sinking amount of the center line of the superconducting magnet, the height of the center line of the superconducting magnet, the outer contour size of the static suspension coil, and the outer contour size of the excitation coil in the initial design domain, the electromagnetic force main transmission interface position and range in the initial design domain under the static suspension process are calculated, denoted as a first region.
[0106] Based on the relative position of the center line of the superconducting magnet in the electric suspension process of the high-temperature superconducting electrically levitated train, the electromagnetic force main transmission interface position and range in the initial design domain under the electric suspension process are calculated, denoted as a second region.
[0107] Under the target working condition, the electromagnetic force of the static suspension coil and the excitation coil and the superconducting magnet is calculated in the static suspension process, to obtain a first maximum value and a first direction of the electromagnetic force, and the electromagnetic force corresponding to the first maximum value and the first direction is applied to the first region.
[0108] Under the target working condition, the electromagnetic force of the traction coil and the 8-shaped coil and the superconducting magnet is calculated in the electric suspension process, to obtain a second maximum value and a second direction of the electromagnetic force, and the electromagnetic force corresponding to the second maximum value and the second direction is applied to the second region.
[0109] The initial design domain after the electromagnetic force is applied to the first region and the second region is optimized by using a topology optimization model, and the optimized initial design domain is taken as a target coil mounting seat, the design variable of the topology optimization model is the density of the unit in the corrected initial design domain, the target value of the topology optimization model is the minimum result flexibility, and the constraint condition is that the volume fraction is less than a preset value and the maximum Mises stress does not exceed a target threshold.
[0110] The processor is also configured to implement the specific steps disclosed in the other method embodiments, which will not be repeated here.
[0111] For ease of description, the above system is described in various modules respectively according to functions. Of course, the functions of the modules can be implemented in one or more software and / or hardware when the present application is implemented.
[0112] Each embodiment in the specification is described in a progressive manner, and the same and similar parts between each embodiment can be referred to each other. Each embodiment mainly describes the difference from other embodiments. Especially, the system or system embodiment is described simply because it is basically similar to the method embodiment, and the related part can be referred to the part of the method embodiment. The system and system embodiment described above are only illustrative, and the units described as separate components can be or can not be physically separated, and the components shown as units can be or can not be physical units, that is, they can be located in one place or distributed to multiple network units. Part or all of the modules can be selected to achieve the purpose of the embodiment according to actual needs. Those skilled in the art can understand and implement without creative labor.
[0113] The skilled person can further realize that the units and algorithm steps of the examples described in combination with the embodiments disclosed in the specification can be realized in electronic hardware, computer software or combination of the two. In order to clearly show the interchangeability of hardware and software, the composition and steps of each example have been described in the above description. Whether the functions are realized in hardware or software depends on the specific application and design constraints of the technical solution. The skilled person can use different methods to realize the described functions for each specific application, but such implementation should not be considered beyond the scope of the present application.
[0114] The steps of the method or algorithm described in combination with the embodiments disclosed in the specification can be directly implemented by hardware, software module executed by a processor, or combination of the two. The software module can be placed in random access memory (RAM), memory, read only memory (ROM), electrically programmable ROM, electrically erasable programmable ROM, register, hard disk, removable disk, CD-ROM, or any other form of storage medium known in the art.
[0115] It is also to be noted that, as used in this specification and the appended claims, the singular forms "a," "an," and "the" include plural referents unless the context clearly dictates otherwise. Thus, for example, reference to "a component" can include a combination of two or more components, and the term "an element" can include comparable reference to a plurality of elements. Additionally, the term "or" as used herein means any one member of a logical disjunction (i.e., it is equivalent to "or" and "or else") and not a logical exclusion. Also, the terms "comprise," "comprising," "include," "including," and the like mean "including but not limited to." Furthermore, the terms "first," "second," "third," etc. are used merely as labels, and are not intended to impose numerical requirements on their objects.
[0116] The above description of disclosed embodiments provides examples, and is not intended to be limiting. Numerous modifications of the embodiments, as defined herein, will be apparent to those skilled in the art, and will be encompassed within the spirit or scope of the disclosure. Therefore, the scope of the present disclosure is not to be determined by such exemplary embodiments but, rather, is to be understood by reference to the appended claims.
Claims
1. A coil mounting seat topology optimization method, characterized in that: The method comprises the following steps: acquire and mark the single-side U-shaped track area of the high-temperature superconducting motor levitation train as an initial design domain; based on the sinking amount of the center line of the superconducting magnet, the height of the center line of the superconducting magnet, the outer contour size of the static suspension coil and the outer contour size of the excitation coil in the initial design domain, the electromagnetic force main transmission interface position and range in the initial design domain in the static suspension process are calculated, and the result is recorded as a first area; based on the relative position of the center line of the superconducting magnet in the high-temperature superconducting motor levitation train in the electric suspension process, the electromagnetic force main transmission interface position and range in the initial design domain in the electric suspension process are calculated, and the result is recorded as a second area; in the target working condition, the electromagnetic force of the static suspension coil and the excitation coil and the superconducting magnet in the static suspension process is calculated, the first maximum value and the first direction of the electromagnetic force are obtained, and the electromagnetic force corresponding to the first maximum value and the first direction is applied to the first area; in the target working condition, the electromagnetic force of the traction coil and the figure-eight coil and the superconducting magnet in the electric suspension process is calculated, the second maximum value and the second direction of the electromagnetic force are obtained, and the electromagnetic force corresponding to the second maximum value and the second direction is applied to the second area; the initial design domain after the electromagnetic force is applied to the first area and the second area is optimized by using a topology optimization model, the optimized initial design domain is used as a target coil mounting seat, the design variable of the topology optimization model is the density of the unit in the modified initial design domain, the target value of the topology optimization model is the minimum result compliance, and the constraint condition is that the volume fraction is less than a preset value and the maximum Mises stress does not exceed a target threshold.
2. The coil mount topology optimization method of claim 1, wherein, after the initial design domain after the electromagnetic force is applied to the first area and the second area is optimized by using the topology optimization model, the method further comprises the following steps: the target coil mounting seat is subjected to smoothing treatment; the target working condition is loaded to the target coil mounting seat after the smoothing treatment under the static suspension condition and the electric suspension, the target coil mounting seat after the smoothing treatment is checked, it is judged whether the maximum Mises stress of the target coil mounting seat exceeds the target threshold, and it is judged whether the maximum deformation of the target coil mounting seat exceeds a preset deformation variable. the target threshold is N% of the yield limit of the manufacturing material of the coil mounting seat, the N is not less than 80 and not more than 100, the preset deformation variable is not less than 0 and not more than 1 mm.
3. The coil mount topology optimization method of claim 2, wherein, the value of the N is 85, and the value of the preset deformation variable is 0.5 mm.
4. The coil mount topology optimization method of claim 3, wherein, when the maximum Mises stress of the coil mounting seat exceeds the target threshold or the maximum deformation of the coil mounting seat exceeds the preset deformation variable, the step of optimizing the initial design domain after the electromagnetic force main transmission interface position and range are modified by using the topology optimization model is continuously executed.
5. The coil mount topology optimization method of claim 2, wherein, when the maximum Mises stress of the coil mounting seat exceeds the target threshold or the maximum deformation of the coil mounting seat exceeds the preset deformation variable, the method further comprises the following steps:
6. The coil mount topology optimization method of claim 2, wherein, the number of times of optimizing the initial design domain after the electromagnetic force main transmission interface position and range are modified by using the topology optimization model is counted. determine whether the number of times of statistics reaches a target number, if the target number is reached, select a next-stage selected material as a manufacturing material of the initial design domain, control the number of times of statistics to be zero, and continue to perform the step of optimizing the initial design domain after the position and range of the main electromagnetic force transmission interface are corrected by using a topology optimization model.
7. The coil mount topology optimization method of claim 1, wherein, Before obtaining the static suspension load of the high-temperature superconducting electric suspension train corresponding to the target working condition, the method further includes: Obtaining a preset running parameter limit value of the high-temperature superconducting electric suspension train; Determining an extreme working condition corresponding to a worst running state of the high-temperature superconducting electric suspension train based on the preset running parameter limit value, and taking the extreme working condition as the target working condition.
8. A coil mount topology optimization apparatus, characterized by, Comprise: An optimization object acquisition unit is configured to acquire and mark a single-side U-shaped track region of a high-temperature superconducting electric suspension train as an initial design domain; A calculation unit is configured to calculate a position and range of a main electromagnetic force transmission interface in the initial design domain in a static suspension process based on a sinking amount of a center line of a superconducting magnet, a height of the center line of the superconducting magnet, an outer contour size of a static suspension coil and an outer contour size of an excitation coil in the initial design domain A correction unit is configured to, in the target working condition, calculate electromagnetic forces of the static suspension coil and the excitation coil and the superconducting magnet in the static suspension process to obtain a first maximum value and a first direction of the electromagnetic forces, and apply the electromagnetic forces corresponding to the first maximum value and the first direction to the first region; In the target working condition, calculate electromagnetic forces of a traction coil and an 8-shaped coil and the superconducting magnet in an electric suspension process to obtain a second maximum value and a second direction of the electromagnetic forces, and apply the electromagnetic forces corresponding to the second maximum value and the second direction to the second region; An optimization unit is configured to optimize the initial design domain after the electromagnetic forces are applied to the first region and the second region by using a topology optimization model, and take the optimized initial design domain as a target coil mounting seat, wherein a design variable of the topology optimization model is a density of a unit in the corrected initial design domain, a target value of the topology optimization model is a minimum result compliance, and a constraint condition is that a volume fraction is less than a preset value and a maximum Mises stress is not more than a target threshold. Comprise:
9. A coil mount topology optimization apparatus, characterized by, A memory and a processor; The memory is configured to store a program; The processor is configured to execute the program to implement various steps of the coil mounting seat topology optimization method according to any one of claims 1-8.
Citation Information
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