Dry-type air-core reactor modal vibration analysis method under broadband harmonic condition and related device

Abstract

The invention provides a dry-type air-core reactor modal vibration analysis method and related device under a broadband harmonic condition, and the method comprises the steps: carrying out the modal analysis calculation of a reactor vibration simulation model, and obtaining the inherent frequency and vibration mode of a reactor under different modal orders; calculating the electromagnetic force of the reactor under the excitation of the set current, and mapping the electromagnetic force into a structural grid of the reactor vibration simulation model; within the range of the inherent frequency, performing frequency sweeping analysis on the reactor vibration simulation model after the electromagnetic force mapping to obtain dynamic response data of the reactor under different frequencies; and analyzing the vibration characteristics of each part of the reactor at different frequencies based on the calculated data. According to the method, the dynamic response data of the electric reactor under the broadband harmonic wave condition is obtained through magnetic-solid coupling modal analysis and accurate electromagnetic force calculation in combination with frequency sweep analysis, so that the vibration characteristics of the electric reactor are comprehensively evaluated, and reliable theoretical basis and technical support are provided for design optimization of the electric reactor.

Description

Technical Field

[0001] The invention belongs to the technical field of reactors, and in particular relates to a modal vibration analysis method of a dry-type air-core reactor under broadband harmonic conditions and a related device. Background Art

[0002] With the transformation of the global energy structure, a large number of nonlinear devices using renewable energy are gradually connected to the power system, which not only promotes the application of clean energy, but also brings new challenges to the power grid. In particular, with the increasing proportion of intermittent energy such as wind power and solar energy, the stability and reliability of the power grid are facing unprecedented challenges.

[0003] In this context, due to the increase of nonlinear loads, significant harmonic pollution has appeared in the power system. These high-frequency harmonics will cause a series of problems, including the impact on the performance of various types of reactors. Specifically, when a current containing a large amount of harmonic components passes through the reactor winding, complex electromagnetic forces will be generated inside it, which will further cause the winding to vibrate, thereby affecting the mechanical stability of the entire reactor.

[0004] At present, in practical applications, especially for dry-type air-core reactors, with the increase of grid capacity and voltage level, the vibration problem caused by electromagnetic force has become more prominent. Traditional design methods are difficult to accurately predict the deformation and displacement of windings in complex electromagnetic environments, which may cause the reactor to vibrate more during long-term operation and even affect the noise level of the surrounding environment. Therefore, it is particularly important to develop a method that can accurately analyze the electromagnetic vibration characteristics of reactors under power frequency and harmonic conditions. Summary of the invention

[0005] In view of this, the present invention provides a modal vibration analysis method and related devices for dry-type air-core reactors under wide-band harmonic conditions, aiming to perform modal analysis of the reactor by means of magneto-solid coupling, find out its natural frequency and modal vibration shape, and on this basis study the vibration condition of the reactor under power frequency current excitation, thereby providing a theoretical basis and technical support for the study of the vibration characteristics of the reactor induced by harmonics.

[0006] In order to achieve the above object, the technical solution provided by the present invention is as follows:

[0007] In a first aspect, the present invention provides a method for modal vibration analysis of a dry-type air-core reactor under broadband harmonic conditions, comprising the following steps:

[0008] Perform modal analysis and calculation on the reactor vibration simulation model to obtain the natural frequency and vibration mode of the reactor at different modal orders;

[0009] Calculate the electromagnetic force of the reactor under the set current excitation and map the electromagnetic force to the structural grid of the reactor vibration simulation model;

[0010] Within the range of natural frequency, the vibration simulation model of the reactor after mapping the electromagnetic force is subjected to frequency sweep analysis to obtain the dynamic response data of the reactor at different frequencies;

[0011] Based on the dynamic response data, natural frequency and vibration mode of the reactor at different frequencies, the vibration characteristics of various parts of the reactor at different frequencies are analyzed.

[0012] Furthermore, the natural frequency, vibration mode and dynamic response data of the reactor are obtained by solving the structural motion equation, which is as follows:

[0013]

[0014] In the formula, is the mass matrix of the reactor vibration simulation model, is the damping matrix of the reactor vibration simulation model, is the stiffness matrix of the reactor vibration simulation model, is the force vector, is the displacement vector, is the velocity vector, is the acceleration vector.

[0015] Furthermore, modal analysis and calculation are performed on the reactor vibration simulation model to obtain the natural frequency and vibration mode of the reactor at different modal orders, including:

[0016] By setting the force vector and damping matrix in the structural motion equation to zero, the free vibration equation of the undamped structure is obtained as follows:

[0017]

[0018] make ,but , is the angular frequency, is the vibration mode vector, As the time variable, substituting into the free vibration equation, the characteristic equation of structural vibration is as follows:

[0019]

[0020] Solving the characteristic equation yields The natural frequency of the mode and mode shapes .

[0021] Furthermore, a frequency sweep analysis is performed on the reactor vibration simulation model after mapping the electromagnetic force to obtain the dynamic response data of the reactor at different frequencies, including:

[0022] Determine the frequency points to be calculated within the range of the natural frequency according to the set frequency step;

[0023] The electromagnetic force is taken as an external load to solve the structural motion equation at each frequency point and obtain the dynamic response data at each frequency point.

[0024] Furthermore, the electromagnetic force is used as an external load to solve the structural motion equation at each frequency point, and the dynamic response data at each frequency point is obtained, including:

[0025] make , substituted into the free vibration equation of the undamped structure and solved, we get , ,in, is the magnitude of the external load, is the magnification factor, is the angular frequency, is the time variable, is the equivalent stiffness;

[0026] The resulting displacement vector and the acceleration vector As dynamic response data.

[0027] Furthermore, the calculation expression of the amplification factor is as follows:

[0028]

[0029] In the formula, is the modal damping ratio, is the natural angular frequency.

[0030] Furthermore, the calculation expression of electromagnetic force is as follows:

[0031]

[0032] In the formula, is the current flowing through the current-carrying coil of the reactor; is the magnetic induction intensity of the coil; dF is the electromagnetic force per unit length dl of the coil.

[0033] In a second aspect, the present invention provides a dry-type air-core reactor modal vibration analysis device under broadband harmonic conditions, comprising:

[0034] The modal analysis module is used to perform modal analysis calculations on the reactor vibration simulation model to obtain the natural frequency and vibration mode of the reactor at different modal orders;

[0035] The electromagnetic force calculation module is used to calculate the electromagnetic force of the reactor under the set current excitation and map the electromagnetic force to the structural grid of the reactor vibration simulation model;

[0036] The harmonic response calculation module is used to perform frequency sweep analysis on the reactor vibration simulation model after mapping the electromagnetic force within the range of natural frequency, and obtain the dynamic response data of the reactor at different frequencies;

[0037] The vibration calculation result analysis module is used to analyze the vibration characteristics of various parts of the reactor at different frequencies based on the dynamic response data, natural frequency and vibration mode of the reactor at different frequencies.

[0038] In a third aspect, the present invention provides a computer device, the device comprising a processor and a memory:

[0039] The memory is used to store the computer program and send the instructions of the computer program to the processor;

[0040] The processor executes the modal vibration analysis method of a dry-type air-core reactor under wide-frequency harmonic conditions as described in the first aspect according to the instructions of the computer program.

[0041] In a fourth aspect, the present invention provides a computer-readable storage medium having a computer program stored thereon, which, when executed by a processor, implements a modal vibration analysis method for a dry-type air-core reactor under wide-band harmonic conditions as in the first aspect.

[0042] In summary, the present invention provides a modal vibration analysis method and related device for dry-type air-core reactors under wide-band harmonic conditions, including performing modal analysis calculations on the vibration simulation model of the reactor to obtain the natural frequency and vibration mode of the reactor under different modal orders; calculating the electromagnetic force of the reactor under the set current excitation, and mapping the electromagnetic force to the structural grid of the reactor vibration simulation model; within the range of the natural frequency, performing a sweep frequency analysis on the vibration simulation model of the reactor after mapping the electromagnetic force to obtain the dynamic response data of the reactor at different frequencies; based on the dynamic response data, natural frequency and vibration mode of the reactor at different frequencies, the vibration characteristics of various parts of the reactor are analyzed at different frequencies. The present invention obtains the dynamic response data of the reactor under wide-band harmonic conditions through modal analysis of magneto-solid coupling and accurate electromagnetic force calculation, combined with sweep frequency analysis, so as to comprehensively evaluate its vibration characteristics and provide a reliable theoretical basis and technical support for the design optimization of the reactor. This method significantly improves the accuracy and practicality of the vibration analysis of the reactor. BRIEF DESCRIPTION OF THE DRAWINGS

[0043] In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings required for use in the embodiments or the description of the prior art will be briefly introduced below. Obviously, the drawings described below are only some embodiments of the present invention. For ordinary technicians in this field, other drawings can be obtained based on these drawings without paying creative work.

[0044] Figure 1 A flow chart of a method for modal vibration analysis of a dry-type air-core reactor under broadband harmonic conditions provided by an embodiment of the present invention;

[0045] Figure 2 A structural diagram of a dry-type air-core reactor provided in an embodiment of the present invention;

[0046] Figure 3 A schematic diagram of packaging of a dry-type air-core reactor provided in an embodiment of the present invention;

[0047] Figure 4 A vibration calculation model diagram of a dry-type air-core reactor provided in an embodiment of the present invention;

[0048] Figure 5 A shape cloud diagram of the reactor modal calculation provided by an embodiment of the present invention;

[0049] Figure 6a A diagram showing the calculation results of the current density of the reactor package provided by an embodiment of the present invention;

[0050] Figure 6b A diagram showing the calculation results of magnetic induction intensity provided by an embodiment of the present invention;

[0051] Figure 6c A diagram of electromagnetic force calculation results provided by an embodiment of the present invention;

[0052] Figure 7 A displacement cloud diagram of a dry-type air-core reactor provided in an embodiment of the present invention;

[0053] Figure 8 A graph showing the vibration spectrum of the seventh layer package provided by an embodiment of the present invention;

[0054] Fig. 9 A block diagram of a dry-type air-core reactor modal vibration analysis device under broadband harmonic conditions provided by an embodiment of the present invention;

[0055] Fig.10 A block diagram of a computer device provided in an embodiment of the present invention. DETAILED DESCRIPTION

[0056] In order to make the purpose, features and advantages of the present invention more obvious and easy to understand, 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 embodiments described below are only part of the embodiments of the present invention, not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by ordinary technicians in this field without creative work are within the scope of protection of the present invention.

[0057] See also Figure 1 The embodiment of the present invention provides a method for modal vibration analysis of a dry-type air-core reactor under broadband harmonic conditions, comprising the following steps:

[0058] S1: Perform modal analysis and calculation on the reactor vibration simulation model to obtain the natural frequency and vibration mode of the reactor at different modal orders.

[0059] It should be noted that modal analysis is a technique used to determine the natural frequency (natural frequency) and mode shape (modal shape) of a structural system. It is achieved by solving the dynamic equations of the structure and can reveal the vibration characteristics of the structure at different frequencies.

[0060] In this step, a vibration simulation model of the reactor is established through finite element analysis software, and the eigenvalue problem of the system is solved using modal analysis tools to obtain the natural frequencies and vibration shapes of multiple modes.

[0061] S2: Calculate the electromagnetic force of the reactor under the set current excitation and map the electromagnetic force to the structural grid of the reactor vibration simulation model.

[0062] It should be noted that this step calculates the electromagnetic force according to the current distribution and magnetic field strength in the reactor, and then evenly distributes these forces on the structural grid of the reactor to simulate the stress state under actual working conditions.

[0063] S3: Within the range of natural frequency, a frequency sweep analysis is performed on the reactor vibration simulation model after mapping the electromagnetic force to obtain the dynamic response data of the reactor at different frequencies.

[0064] It should be noted that swept frequency analysis is a method of observing the system response by changing the frequency of the input signal, which is used to determine the behavior of the system at different frequencies.

[0065] In this step, a series of frequency points are selected within the natural frequency range to dynamically analyze the reactor model loaded with electromagnetic force, and obtain response data such as displacement, velocity, and acceleration at different frequencies. The frequency sweep analysis method used in this step is to examine the influence of electromagnetic force on the vibration characteristics of the reactor at different frequencies, thereby reflecting the effect of magneto-solid coupling.

[0066] S4: Based on the dynamic response data, natural frequency and vibration mode of the reactor at different frequencies, the vibration characteristics of each part of the reactor at different frequencies are analyzed.

[0067] It should be noted that this step comprehensively uses dynamic response data, natural frequency and vibration mode information to analyze the vibration mode and amplitude of the reactor under different frequency excitations, so as to evaluate its vibration characteristics under actual working conditions.

[0068] This embodiment provides a modal vibration analysis method for a dry-type air-core reactor under broadband harmonic conditions, and its overall working principle is to systematically analyze the vibration characteristics of the reactor under different excitation conditions by means of magneto-solid coupling. First, by performing modal analysis calculation on the vibration simulation model of the reactor, its natural frequency and vibration mode under different modal orders are obtained; then, the electromagnetic force of the reactor under the set current excitation is calculated, and these electromagnetic forces are accurately mapped to the structural grid of the vibration simulation model of the reactor. This process fully reflects the coupling effect between the electromagnetic field and the mechanical structure, that is, the electromagnetic force directly affects the vibration behavior of the reactor; then, within the range of the natural frequency, the vibration simulation model of the reactor after the electromagnetic force is mapped is subjected to frequency sweep analysis, and by changing the frequency of the input signal, the dynamic response data of the reactor under different frequencies is obtained, and the influence of the electromagnetic force on the vibration characteristics of the reactor is further revealed; finally, based on these dynamic response data, natural frequencies and vibration modes, the vibration characteristics of various parts of the reactor under different frequencies are analyzed in detail, so as to comprehensively evaluate the vibration behavior of the reactor under the action of electromagnetic force, and provide scientific basis and technical support for design optimization. This method can not only comprehensively and accurately analyze the vibration characteristics of the reactor under wide-band harmonic conditions, but also effectively prevent resonance phenomena and improve the working stability and reliability of the reactor.

[0069] The dry-type air-core reactor modal vibration analysis method under wide-band harmonic conditions proposed in this embodiment can be applied to the modal vibration analysis of dry-type air-core reactors. Other embodiments of the dry-type air-core reactor modal vibration analysis method under wide-band harmonic conditions of the present invention are introduced below in conjunction with the dry-type air-core reactor vibration simulation model.

[0070] The structure of dry-type air-core reactor is as follows: Figure 2 As shown, Figure 2In the figure, Reactor Body means reactor body, StarBracket means star arm, Rain Cover means rain cover, Bird-Proof Grille means bird-proof grille, Seal means sealing layer, Insulated Supports means insulation support, Over-Support means transition support, Insulator means insulator, and Fiberglass Reinforced Plastic Pillars means glass fiber reinforced plastic pillars.

[0071] This type of reactor consists of four parts: reactor body, rain cover, bird-proof fence and insulating support. The reactor body includes 14 layers of packaging, upper and lower star-shaped brackets, several partitions and connectors between the airways. The insulating support consists of six identical insulating pillars with axial symmetry. The insulators, epoxy glass fiber pillars and support beams are connected to each other through flanges. The basic parameters of this type of reactor are shown in Table 1 below.

[0072] Table 1 Basic parameters of reactor

[0073]

[0074] Dry type air core reactor packaging Figure 3 As shown, Seal means sealing (14 layers in total), Endinsulation means end insulation, guidewire means wire, Polyester fiber membrane means polyester fiber membrane, and Epoxy fiber membrane means epoxy resin fiber membrane.

[0075] The vibration calculation model of dry air-core reactor is as follows: Figure 4 As shown in the figure, due to the complex structure of this type of reactor, when performing modal analysis and electromagnetic force calculation, it is necessary to reasonably simplify the calculation model to reduce the difficulty of calculation. The bird-proof fence adopts the form of additional mass to consider its influence on the inherent mode of the reactor.

[0076] The reactor calculation model takes into account the enclosure structure, upper and lower star brackets, rain cover and its connectors, and the insulating bracket consisting of porcelain insulators and gold fittings at both ends.

[0077] The structural material parameters involved in the modal and vibration calculation of dry-type air-core reactors are density, elastic modulus and Poisson's ratio. The material parameter values ​​are shown in Table 2. The accessory material parameters of the insulating support member are consistent with those of the star bracket.

[0078] Table 2 Mechanical parameters of reactor

[0079]

[0080] To carry out the magnetic field-structure coupling calculation of the dry hollow reactor, modal analysis must be performed, the purpose of which is to determine the structural vibration characteristics, including natural frequency, vibration mode analysis and damping ratio. The relevant parameters in the modal analysis can provide a basis for vibration analysis, structural optimization and vibration fault diagnosis of structural design. In one embodiment, the modal analysis is performed based on the motion equation of structural dynamics, as follows:

[0081] (1)

[0082] In formula (1), is the mass matrix of the reactor vibration simulation model, is the damping matrix of the reactor vibration simulation model, is the stiffness matrix of the reactor vibration simulation model, is the force vector, is the displacement vector, is the velocity vector, is the acceleration vector.

[0083] Modal analysis, also known as modal extraction, is the process of solving the eigenvalues ​​and eigenvectors of the structural dynamic motion equation. In one embodiment, when calculating the natural frequency, in order to meet the conditions of undamped free vibration, {F}=0 and [C]=0 in equation (1) must be used to obtain the free vibration equation of the undamped structure, as shown in equation (2):

[0084] (2)

[0085] Since the free vibration of the structure is simple harmonic vibration, the displacement function is , we can further know Substituting it into the motion equation of formula (2), we can obtain:

[0086] (3)

[0087] Formula (3) is the characteristic equation of structural vibration. The purpose of modal analysis is to solve the eigenvalue of the characteristic equation. and the corresponding eigenvector { }. Eigenvalue is the self-oscillation circular frequency, and the self-oscillation frequency is ,in and{ } are the natural frequency of the i-th order mode and the modal vibration shape in the structural dynamics analysis.

[0088] Then the electromagnetic force is calculated. In one embodiment, the electromagnetic force of the dry air-core reactor package can be calculated according to the Lorentz force formula of the electromagnetic force of the current-carrying coil:

[0089] (4)

[0090] In formula (4): is the current flowing through the current-carrying coil of the reactor, A; is the magnetic induction intensity of the coil, T; dF is the electromagnetic force per unit length dl of the coil.

[0091] Finally, the harmonic response calculation is performed. Based on the calculated electromagnetic force of the dry-type air-core reactor envelope, the electromagnetic force is mapped to the structural grid for vibration calculation. The forced vibration of the reactor under the excitation of a single power frequency current is a simple harmonic vibration. The vibration of the dry-type hollow reactor under the excitation of a mixed frequency current can be analyzed by expanding the Fourier series into harmonic responses of different frequencies, and then the total response is calculated according to the linear superposition principle. In one embodiment, formula (1) is set , analyze the harmonic response, and get the displacement , ,in, is the magnitude of the external load, is the magnification factor, is the angular frequency, is the time variable, is the equivalent stiffness.

[0092] In one embodiment, the calculation expression of the amplification factor is as follows:

[0093]

[0094] In the formula, is the modal damping ratio, is the natural angular frequency.

[0095] Based on the modal analysis results of the aforementioned embodiments, the calculation results of the magnetic-solid coupling vibration of the reactor are analyzed. In the modal calculation, the Block Lanczos modal extraction method is used to perform modal analysis on the dry-type air-core reactor, and the order range of the calculation is from the 1st to the 1000th order mode. Table 3 shows the natural frequencies and amplitudes of several modal orders, among which the 296th order mode has a natural frequency of 138.63Hz and the amplitude of the reactor rain cover is the largest. The 1st and 1000th order vibration shape cloud diagrams are shown in Figure 3. Figure 5 As shown, in the 1st-order mode, the amplitude of the rain cover is larger; in the 1000th-order mode, the amplitudes of the 4th and 5th layers of encapsulation are larger.

[0096] Table 3 Reactor modal calculation results

[0097]

[0098] From Table 3 and Figure 4It can be obtained that due to the large deadweight of the dry-type air-core reactor, the natural frequency of the modal calculation is distributed in the low-frequency range, and the 1000th-order natural frequency is close to 300Hz, while the electromagnetic force frequency under power frequency excitation is 100Hz. Therefore, it can be obtained that it is necessary to pay attention to the coincidence of the electromagnetic force excitation frequency and the natural frequency to avoid resonance as much as possible.

[0099] In the calculation of electromagnetic force of reactor, the loading current of dry-type air-core reactor is power frequency current I=1016A, and the package current density distribution is as follows: Figure 6a As shown. The maximum current density of the 14th encapsulation is 555791 A / m 2 The first layer encapsulation current density is second, which is 515806 A / m 2 The distribution of magnetic induction intensity of the reactor is as follows: Figure 6b As shown. By calculating the encapsulation current density and magnetic induction intensity distribution of the dry air-core reactor, the electromagnetic force vector distribution of the encapsulation unit can be obtained, as shown in Figure 6c As shown in the figure, since the current density of each envelope is at the same order of magnitude, and the magnetic induction intensity of the inner envelope is greater than that of the outer envelope, the electromagnetic force of the inner envelope is greater.

[0100] The calculated electromagnetic force of the dry-type air-core reactor is mapped to the structural grid. The full method is used to sweep the frequency to analyze the structural vibration under electromagnetic force excitation. The analysis frequency range is [9Hz, 300Hz], that is, the first 1000-order modal range in the modal analysis, and the frequency step is 0.5Hz. Figure 7 This is the displacement cloud diagram of the dry-type air-core reactor at a frequency of 259 Hz. At this frequency, the vibration displacement of the rain cover is the largest, followed by the lower star-shaped bracket, and the enclosure vibration is relatively small.

[0101] In the above frequency sweep analysis, the displacement of the dry-type air-core reactor under the electromagnetic harmonic response is different at the natural frequencies of different modal orders, and the displacement amplitude is between 10-4m and 10-7m, and the vibration of the reactor is small. Figure 8 It is the spectrum curve of the middle grid node on the surface of the 7th layer of envelope. In the vibration spectrum of the dry-type air-core reactor, the envelope amplitude is not only related to the electromagnetic force, but also to the vibration mode and natural frequency. The envelope vibration displacement in the Z-axis direction is the largest, followed by the X-axis direction, and the smallest in the Y-axis direction. Therefore, the envelope vibration of the dry-type air-core reactor is mainly radial, and the axial vibration displacement is small.

[0102] Based on the same inventive concept, the embodiment of the present application also provides a dry-type air-core reactor modal vibration analysis device under wide-frequency harmonic conditions for realizing the above-mentioned dry-type air-core reactor modal vibration analysis method under wide-frequency harmonic conditions. The implementation scheme for solving the problem provided by the device is similar to the implementation scheme recorded in the above-mentioned method, so the specific limitations in the embodiment of the dry-type air-core reactor modal vibration analysis device under wide-frequency harmonic conditions provided below can be referred to the limitations of the dry-type air-core reactor modal vibration analysis method under wide-frequency harmonic conditions in the above text, and will not be repeated here.

[0103] See also Fig. 9 This embodiment provides a dry-type air-core reactor modal vibration analysis device under broadband harmonic conditions, comprising:

[0104] The modal analysis module is used to perform modal analysis calculations on the reactor vibration simulation model to obtain the natural frequency and vibration mode of the reactor at different modal orders;

[0105] The electromagnetic force calculation module is used to calculate the electromagnetic force of the reactor under the set current excitation and map the electromagnetic force to the structural grid of the reactor vibration simulation model;

[0106] The harmonic response calculation module is used to perform frequency sweep analysis on the reactor vibration simulation model after mapping the electromagnetic force within the range of natural frequency, and obtain the dynamic response data of the reactor at different frequencies;

[0107] The vibration calculation result analysis module is used to analyze the vibration characteristics of various parts of the reactor at different frequencies based on the dynamic response data, natural frequency and vibration mode of the reactor at different frequencies.

[0108] Those skilled in the art can clearly understand that, for the convenience and simplicity of description, only the division of the above-mentioned functional units and modules is used as an example for illustration. In practical applications, the above-mentioned function allocation can be completed by different functional units and modules as needed, that is, the internal structure of the system can be divided into different functional units or modules to complete all or part of the functions described above. The functional units and modules in the embodiment can be integrated in a processing unit, or each unit can exist physically separately, or two or more units can be integrated in one unit. The above-mentioned integrated unit can be implemented in the form of hardware or in the form of software functional units. In addition, the specific names of the functional units and modules are only for the convenience of distinguishing each other, and are not used to limit the scope of protection of this application. The specific working process of the units and modules in the above-mentioned system can refer to the corresponding process in the aforementioned method embodiment, which will not be repeated here.

[0109] Reference Fig.10An embodiment of the present invention further provides a computer device, comprising: a memory and a processor and a computer program stored in the memory. When the computer program is executed on the processor, a modal vibration analysis method for a dry-type air-core reactor under wide-band harmonic conditions as described in any one of the above methods is implemented.

[0110] The computer device may be a desktop computer, a notebook, a PDA, a cloud server or other computing device. The computer device may include, but is not limited to, a processor and a memory. Those skilled in the art will understand that Fig.10 It is only an example of a computer device and does not constitute a limitation of the computer device. It may include more or fewer components than shown in the figure, or a combination of certain components, or different components. For example, it may also include input and output devices, network access devices, etc.

[0111] The processor may be a central processing unit (CPU), other general-purpose processors, digital signal processors (DSP), application-specific integrated circuits (ASIC), field-programmable gate arrays (FPGA) or other programmable logic devices, discrete gate or transistor logic devices, discrete hardware components, etc. A general-purpose processor may be a microprocessor or any conventional processor, etc.

[0112] In some embodiments, the memory may be an internal storage unit of the computer device, such as a hard disk or memory of the computer device. In other embodiments, the memory may also be an external storage device of the computer device, such as a plug-in hard disk, a smart media card (SMC), a secure digital (SD) card, a flash card, etc. equipped on the computer device. Further, the memory may include both an internal storage unit and an external storage device of the computer device. The memory is used to store an operating system, an application program, a boot loader (BootLoader), data, and other programs, such as the program code of the computer program. The memory may also be used to temporarily store data that has been output or is to be output.

[0113] An embodiment of the present invention further provides a computer-readable storage medium having a computer program stored thereon. When the computer program is executed by a processor, the method for modal vibration analysis of a dry-type air-core reactor under wide-band harmonic conditions as described in any one of the above methods is implemented.

[0114] In this embodiment, if the integrated unit is implemented in the form of a software functional unit and sold or used as an independent product, it can be stored in a computer-readable storage medium. Based on this understanding, the present application implements all or part of the processes in the above-mentioned embodiment method, which can be completed by instructing the relevant hardware through a computer program. The computer program can be stored in a computer-readable storage medium. When the computer program is executed by the processor, the steps of the above-mentioned various method embodiments can be implemented. Among them, the computer program includes computer program code, and the computer program code can be in source code form, object code form, executable file or some intermediate form. The computer-readable medium can at least include: any entity or device that can carry the computer program code to the camera / terminal device, recording medium, computer memory, read-only memory (ROM, Read-Only Memory), random access memory (RAM, Random Access Memory), electric carrier signal, telecommunication signal and software distribution medium. For example, USB flash drive, mobile hard disk, disk or optical disk. In some jurisdictions, according to legislation and patent practice, computer-readable media cannot be electric carrier signals and telecommunication signals.

[0115] In the above embodiments, the description of each embodiment has its own emphasis. For parts that are not described or recorded in detail in a certain embodiment, reference can be made to the relevant descriptions of other embodiments.

[0116] Those of ordinary skill in the art will appreciate that the units and algorithm steps of each example described in conjunction with the embodiments disclosed herein can be implemented in electronic hardware, or a combination of computer software and electronic hardware. Whether these functions are performed in hardware or software depends on the specific application and design constraints of the technical solution. Professional and technical personnel can use different methods to implement the described functions for each specific application, but such implementation should not be considered to be beyond the scope of this application.

[0117] In the embodiments disclosed in the present application, it should be understood that the disclosed devices / terminal equipment and methods can be implemented in other ways. For example, the device / terminal equipment embodiments described above are only schematic. For example, the division of the modules or units is only a logical function division. There may be other division methods in actual implementation, such as multiple units or components can be combined or integrated into another system, or some features can be ignored or not executed. Another point is that the mutual coupling or direct coupling or communication connection shown or discussed can be through some interfaces, indirect coupling or communication connection of devices or units, which can be electrical, mechanical or other forms.

[0118] The above embodiments are only used to illustrate the technical solutions of the present invention, rather than to limit the same. Although the present invention has been described in detail with reference to the aforementioned embodiments, those skilled in the art should understand that the technical solutions described in the aforementioned embodiments may still be modified, or some of the technical features may be replaced by equivalents. However, these modifications or replacements do not deviate the essence of the corresponding technical solutions from the spirit and scope of the technical solutions of the embodiments of the present invention.

Claims

1. A method for modal vibration analysis of dry-type air-core reactor under broadband harmonic conditions, characterized in that: The steps include: Perform modal analysis and calculation on the reactor vibration simulation model to obtain the natural frequency and vibration mode of the reactor at different modal orders; Calculating the electromagnetic force of the reactor under set current excitation, and mapping the electromagnetic force to the structural grid of the reactor vibration simulation model; Within the range of the natural frequency, performing a frequency sweep analysis on the reactor vibration simulation model after mapping the electromagnetic force to obtain dynamic response data of the reactor at different frequencies; The vibration characteristics of various parts of the reactor at different frequencies are analyzed based on the dynamic response data of the reactor at different frequencies, the natural frequency and the vibration mode.

2. The method for modal vibration analysis of dry-type air-core reactor under broadband harmonic conditions according to claim 1 is characterized in that: The natural frequency, vibration mode and dynamic response data of the reactor are obtained by solving the structural motion equation, which is as follows: In the formula, is the mass matrix of the reactor vibration simulation model, is the damping matrix of the reactor vibration simulation model, is the stiffness matrix of the reactor vibration simulation model, is the force vector, is the displacement vector, is the velocity vector, is the acceleration vector.

3. The method for modal vibration analysis of dry-type air-core reactor under broadband harmonic conditions according to claim 2 is characterized in that: Perform modal analysis and calculation on the reactor vibration simulation model to obtain the natural frequency and vibration mode of the reactor at different modal orders, including: The force vector and damping matrix in the structural motion equation are set to zero, and the free vibration equation of the undamped structure is obtained as follows: make ,but , is the angular frequency, is the vibration mode vector, As the time variable, the characteristic equation of structural vibration is obtained by substituting into the free vibration equation as follows: Solving the characteristic equation yields The natural frequency of the mode and mode shapes .

4. The method for modal vibration analysis of dry-type air-core reactor under broadband harmonic conditions according to claim 2 is characterized in that: Perform frequency sweep analysis on the reactor vibration simulation model after mapping the electromagnetic force to obtain dynamic response data of the reactor at different frequencies, including: Determine the frequency points to be calculated within the range of the natural frequency according to the set frequency step; The electromagnetic force is taken as an external load to solve the structural motion equation at each frequency point, thereby obtaining dynamic response data at each frequency point.

5. The method for modal vibration analysis of dry-type air-core reactor under broadband harmonic conditions according to claim 4 is characterized in that: The electromagnetic force is used as an external load to solve the structural motion equation at each frequency point to obtain dynamic response data at each frequency point, including: make , substituted into the free vibration equation of the undamped structure and solved, we get , ,in, is the magnitude of the external load, is the magnification factor, is the angular frequency, is the time variable, is the equivalent stiffness; The resulting displacement vector and the acceleration vector as the dynamic response data.

6. The method for modal vibration analysis of dry-type air-core reactor under broadband harmonic conditions according to claim 5 is characterized in that: The calculation expression of the amplification factor is as follows: In the formula, is the modal damping ratio, is the natural angular frequency.

7. The method for modal vibration analysis of dry-type air-core reactor under broadband harmonic conditions according to claim 1 or 5, characterized in that: The calculation expression of the electromagnetic force is as follows: In the formula, is the current flowing through the current-carrying coil of the reactor; is the magnetic induction intensity of the coil; dF is the electromagnetic force per unit length dl of the coil.

8. A modal vibration analysis device for dry-type air-core reactor under broadband harmonic conditions, characterized in that: include: The modal analysis module is used to perform modal analysis calculations on the reactor vibration simulation model to obtain the natural frequency and vibration mode of the reactor at different modal orders; An electromagnetic force calculation module, used for calculating the electromagnetic force of the reactor under a set current excitation, and mapping the electromagnetic force to a structural grid of the reactor vibration simulation model; A harmonic response calculation module, used to perform a frequency sweep analysis on the reactor vibration simulation model after mapping the electromagnetic force within the range of the natural frequency, so as to obtain dynamic response data of the reactor at different frequencies; The vibration calculation result analysis module is used to analyze the vibration characteristics of various parts of the reactor at different frequencies based on the dynamic response data of the reactor at different frequencies, the natural frequency and the vibration mode.

9. A computer device, characterized in that: The device comprises a processor and a memory: The memory is used to store a computer program and send instructions of the computer program to the processor; The processor executes a modal vibration analysis method for a dry-type air-core reactor under wide-band harmonic conditions according to any one of claims 1 to 7 according to the instructions of the computer program.

10. A computer-readable storage medium, characterized in that: The computer-readable storage medium stores a computer program, and when the computer program is executed by a processor, the method for modal vibration analysis of a dry-type air-core reactor under wide-band harmonic conditions according to any one of claims 1 to 7 is implemented.

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