Method for analyzing magnetic field of multi-encapsulated dry-type air-core reactor and related equipment

Abstract

The application provides a multi-pack dry-type air-core reactor magnetic field analysis method and related equipment. According to the geometric parameters of each layer of original coils in the multi-pack dry-type air-core reactor, the outer envelope of the multi-pack dry-type air-core reactor is taken as a reference to determine equivalent coil geometric parameters, the modeling objects are reduced while the overall geometric characteristics are retained, and the modeling efficiency is improved. According to the geometric parameters and electrical parameters of each layer of original coils, the total magnetic moment is calculated, and based on the magnetic moment conservation principle, the equivalent ampere turns are calculated according to the total magnetic moment and the equivalent coil geometric parameters, the matching of the equivalent geometric parameters and the excitation parameters is realized, and the magnetic field characteristic deviation caused by the separate equivalence of the geometric size or the excitation parameter is avoided. According to the equivalent coil geometric parameters and the equivalent ampere turns, the equivalent model of the multi-pack dry-type air-core reactor is established, and the magnetic field analysis is performed according to the equivalent model, the consistency of the equivalent model and the original reactor is improved, and therefore, the modeling efficiency and the magnetic field analysis accuracy are taken into account.

Description

Technical Field

[0001] This application relates to the field of magnetic field analysis technology for dry-type air-core reactors, and in particular to a method and related equipment for magnetic field analysis of multi-encapsulated dry-type air-core reactors. Background Technology

[0002] Multi-enclosed dry-type air-core reactors are widely used in power systems for current limiting, filtering, parallel compensation, and series compensation due to their characteristics such as coreless operation, high linearity, no magnetic saturation, good insulation performance, and convenient operation and maintenance. During operation, reactors generate a strong leakage magnetic field, which may cause electromagnetic influences on surrounding metal components, cables, and electrical equipment. Therefore, it is necessary to analyze the external magnetic field of the reactor to provide a basis for equipment layout, safety distances, and electromagnetic shielding design.

[0003] Currently, reactor magnetic field analysis primarily employs two-dimensional or three-dimensional electromagnetic field modeling methods. Two-dimensional axisymmetric models offer high computational efficiency but cannot reflect the three-dimensional spatial magnetic field distribution. Three-dimensional detailed modeling achieves high analytical accuracy but requires modeling each encapsulation and coil layer, resulting in high computational load and low solution efficiency. To improve modeling efficiency, existing techniques typically simplify modeling by merging coils, using equivalent total ampere-turns, or averaging dimensions, but these methods fail to consider the matching relationship between equivalent geometric dimensions and equivalent excitation parameters. Therefore, current techniques struggle to balance modeling efficiency with magnetic field analysis accuracy. Summary of the Invention

[0004] The purpose of this application is to at least solve one of the aforementioned technical defects, particularly the technical defect in the prior art that makes it difficult to balance modeling efficiency and magnetic field analysis accuracy.

[0005] In a first aspect, this application provides a method for magnetic field analysis of multi-encapsulated dry-type air-core reactors, the method comprising:

[0006] Based on the geometric parameters of the original coils in each layer of the multi-enclosed dry-core reactor, and taking the outer envelope of the multi-enclosed dry-core reactor as a reference, the geometric parameters of the equivalent coil are determined.

[0007] Based on the geometric and electrical parameters of the original coils in each layer, the total magnetic moment is calculated, and based on the principle of magnetic moment conservation, the equivalent ampere-turns are calculated according to the total magnetic moment and the equivalent coil geometric parameters.

[0008] Based on the equivalent coil geometric parameters and equivalent ampere-turns, an equivalent model of a multi-enclosed dry-type air-core reactor is established, and the magnetic field analysis results of the multi-enclosed dry-type air-core reactor are obtained based on the equivalent model.

[0009] Optionally, based on the geometric parameters of the original coils in each layer of the multi-enclosed dry-core reactor, and taking the outer envelope of the multi-enclosed dry-core reactor as a reference, the equivalent coil geometric parameters are determined, including:

[0010] In a multi-encapsulated dry-type air-core reactor, the smallest inner diameter among the original coils of each layer is taken as the equivalent coil inner diameter.

[0011] Among the outer diameters of the original coils in each layer, the largest outer diameter is taken as the equivalent coil outer diameter;

[0012] The average radius of the equivalent coil is determined based on the inner diameter and outer diameter of the equivalent coil.

[0013] Among the axial heights of the original coils in each layer, the maximum axial height is taken as the equivalent coil axial height.

[0014] Optionally, the formula for calculating the total magnetic moment is:

[0015]

[0016] in, The total magnetic moment, For the first The number of turns of the original coil in the layer, For the first The branch current of the original coil in the layer, For the first The average radius of the original coil in the layer, This represents the total number of layers in the original coil.

[0017] Optionally, based on the principle of magnetic moment conservation, the equivalent ampere-turns are calculated according to the total magnetic moment and the equivalent coil geometric parameters, including:

[0018] Let the total current of the equivalent coil be equal to the sum of the branch currents of the original coils in each layer, let the magnetic moment of the equivalent coil be equal to the total magnetic moment, and calculate the equivalent ampere-turns based on the average radius of the equivalent coil.

[0019] Optionally, the formula for calculating the equivalent ampere-turns is:

[0020]

[0021] in, For equivalent ampere-turns, For equivalent number of turns, This is the equivalent total coil current. For the first The number of turns of the original coil in the layer, For the first The branch current of the original coil in the layer, For the first The average radius of the original coil in the layer, This represents the total number of layers in the original coil. The average radius of the equivalent coil.

[0022] Optionally, the method further includes:

[0023] Each layer of the original coil is divided into at least two encapsulation groups according to its radial position;

[0024] Based on the equivalent coil geometric parameters and equivalent ampere-turns corresponding to each encapsulation group, an equivalent model of a multi-encapsulated dry-type air-core reactor is established.

[0025] Secondly, this application provides a magnetic field analysis device for a multi-encapsulated dry-type air-core reactor, the device comprising:

[0026] The equivalent coil geometry parameter determination module is used to determine the equivalent coil geometry parameters based on the geometry parameters of each layer of the original coil in the multi-enclosed dry-core reactor, with the outer envelope of the multi-enclosed dry-core reactor as the reference.

[0027] The equivalent ampere-turn calculation module is used to calculate the total magnetic moment based on the geometric and electrical parameters of the original coils in each layer, and to calculate the equivalent ampere-turns based on the principle of magnetic moment conservation and the geometric parameters of the equivalent coils.

[0028] The equivalent model establishment module is used to establish an equivalent model of a multi-enclosed dry-type air-core reactor based on the equivalent coil geometric parameters and equivalent ampere-turns, and to obtain the magnetic field analysis results of the multi-enclosed dry-type air-core reactor based on the equivalent model.

[0029] Optionally, the equivalent coil geometry parameter determination module includes:

[0030] The equivalent coil inner diameter determination unit is used to determine the minimum inner diameter among the original coils of each layer in a multi-encapsulated dry-core reactor as the equivalent coil inner diameter.

[0031] The equivalent coil outer diameter determination unit is used to determine the maximum outer diameter among the original coil outer diameters of each layer as the equivalent coil outer diameter.

[0032] The equivalent coil average radius determination unit is used to determine the average radius of the equivalent coil based on the inner diameter and outer diameter of the equivalent coil.

[0033] The equivalent coil axial height determination unit is used to determine the maximum axial height among the original coil axial heights of each layer as the equivalent coil axial height.

[0034] Thirdly, this application provides a storage medium storing computer-readable instructions that, when executed by one or more processors, cause the one or more processors to perform the steps of any of the above embodiments of the magnetic field analysis method for multi-encapsulated dry air reactors.

[0035] Fourthly, this application provides a computer device, including: one or more processors, and a memory;

[0036] The memory stores computer-readable instructions, which, when executed by one or more processors, perform the steps of any of the above embodiments of the magnetic field analysis method for multi-encapsulated dry air-core reactors.

[0037] As can be seen from the above technical solutions, the embodiments of this application have the following advantages:

[0038] The magnetic field analysis method and related equipment for multi-enclosed dry-type air-core reactors provided in this application firstly determine the equivalent coil geometric parameters based on the geometric parameters of the original coils in each layer of the multi-enclosed dry-type air-core reactor, using the reactor's outer envelope as a reference. This achieves an equivalent expression of the original multi-layer coil structure, reducing the number of modeling objects while preserving the overall geometric boundary characteristics, thereby improving modeling efficiency. Furthermore, the total magnetic moment is calculated based on the geometric and electrical parameters of each layer of the original coils. Based on the principle of magnetic moment conservation, the equivalent ampere-turns are calculated by combining the total magnetic moment and the equivalent coil geometric parameters, ensuring that the excitation parameters of the equivalent model match the equivalent geometric parameters. This avoids magnetic field characteristic deviations caused by equivalence only of geometric dimensions or excitation parameters. Finally, an equivalent model of the multi-enclosed dry-type air-core reactor is established based on the equivalent coil geometric parameters and equivalent ampere-turns, and magnetic field analysis is performed accordingly. This ensures that the established equivalent model maintains high consistency with the original reactor while reducing modeling complexity, thus balancing modeling efficiency and magnetic field analysis accuracy. Attached Figure Description

[0039] To more clearly illustrate the technical solutions in the embodiments of this application or the prior art, the drawings used in the description of the embodiments or the prior art will be briefly introduced below. Obviously, the drawings described below are only some embodiments of this application. For those skilled in the art, other drawings can be obtained based on these drawings without creative effort.

[0040] Figure 1 A flowchart illustrating the magnetic field analysis method for multi-encapsulated dry-type air-core reactors provided in this application embodiment;

[0041] Figure 2 Example diagram of the magnetic field analysis method for multi-encapsulated dry-type air-core reactors provided in the embodiments of this application;

[0042] Figure 3 This is a schematic diagram of the structure of the magnetic field analysis device for a multi-encapsulated dry-type hollow reactor provided in the embodiments of this application;

[0043] Figure 4 This is a schematic diagram of the internal structure of a computer device provided in an embodiment of this application. Detailed Implementation

[0044] The technical solutions of the embodiments of this application will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of this application, and not all embodiments. Based on the embodiments of this application, all other embodiments obtained by those skilled in the art without creative effort are within the scope of protection of this application.

[0045] In one embodiment, this application provides a method for magnetic field analysis of a multi-encapsulated dry-type air-core reactor. The following embodiments illustrate this method using a computer device as an example. It is understood that the computer device can be any device with data processing capabilities, including but not limited to a single server, server cluster, personal laptop, desktop computer, etc. Figure 1 As shown, the method may include the following steps:

[0046] S110: Based on the geometric parameters of the original coils in each layer of the multi-enclosed dry-core reactor, and taking the outer envelope of the multi-enclosed dry-core reactor as a reference, determine the geometric parameters of the equivalent coil.

[0047] It is understandable that a multi-enclosed dry-type air-core reactor refers to a dry-type air-core reactor composed of multiple enclosed units, each containing one or more layers of winding coils. These enclosed units collectively constitute the overall structure of the reactor. The original coil refers to the physical windings of each layer after the reactor is actually manufactured. Its geometric parameters can be inner diameter, outer diameter, height, axial position, radial position, cross-sectional dimensions, or other dimensional parameters that reflect the spatial shape of the coil, or a geometric description formed by a combination of the above dimensional parameters. The outer envelope refers to the overall geometric contour covering the entire outer boundary of the original coil, used to characterize the spatial range occupied by the reactor as a whole. It can be a regular geometric contour or an envelope contour formed by irregular boundaries. The equivalent coil geometric parameters are parameters used to describe the spatial dimensions and position of the equivalent coil. These can be equivalent inner diameter, equivalent outer diameter, equivalent height, equivalent center position, or other parameters that determine the geometric shape of the equivalent coil.

[0048] Furthermore, the geometric parameters of the original coils in each layer of the multi-enclosed dry-type air-core reactor are obtained. Based on the spatial distribution relationship of the original coils in each layer, the overall outer envelope of the reactor is constructed. Then, the corresponding equivalent coil geometric parameters are generated based on the outer envelope, enabling the equivalent coil to characterize the overall geometric characteristics of the original coils. Specifically, the geometric parameters of each layer of original coils can be mapped to the same spatial coordinate system first, and then the overall outer envelope can be generated based on the spatial positional relationship of each layer of original coils. The equivalent coil geometric parameters are then determined based on the outer envelope. Alternatively, corresponding local envelopes can be formed for each layer of original coils, and then these local envelopes can be merged to obtain the overall outer envelope of the multi-enclosed dry-type air-core reactor. The equivalent coil geometric parameters are then generated based on the overall outer envelope. Finally, the overall outer envelope can be geometrically fitted by combining the arrangement and spatial coverage of each layer of original coils to obtain the equivalent coil geometric parameters that characterize the overall spatial characteristics of the reactor. For example, when each envelope is arranged along the same central axis, the overall outer envelope can be generated based on the spatial distribution of the original coils of each layer in a unified coordinate system, and then the equivalent coil geometric parameters can be generated from the overall outer envelope; or when each envelope has different numbers of layers and different winding arrangements, the local envelopes corresponding to each envelope can be established separately, and then the overall outer envelope can be formed by merging the envelopes, and the equivalent coil geometric parameters can be generated based on the merged overall outer envelope.

[0049] The equivalent coil geometric parameters are generated by the overall outer envelope, so that the equivalent coil can reflect the overall spatial characteristics of the multi-enclosed dry air-core reactor. This reduces the number of modeling objects while maintaining the consistency of the geometric structure, which is beneficial to improving the efficiency of equivalent modeling and the degree of conformity between the magnetic field analysis results and the actual structure.

[0050] S120: Calculate the total magnetic moment based on the geometric and electrical parameters of the original coils in each layer, and calculate the equivalent ampere-turns based on the principle of magnetic moment conservation and the geometric parameters of the equivalent coil.

[0051] It is understandable that electrical parameters refer to parameters that reflect the electromagnetic excitation characteristics of the original coils. These can be rated current, operating current, number of coil turns, current direction, or other parameters related to magnetic field generation, or comprehensive electrical information formed by a combination of the above parameters. Magnetic moment is a physical quantity used to characterize the strength and direction of the magnetic field of a current-carrying coil. Its value is related to the coil's geometry, current magnitude, and number of winding turns. The magnetic moment formed by multiple original coils can comprehensively reflect the electromagnetic excitation characteristics of the entire multi-enclosed dry-type air-core reactor. Total magnetic moment refers to the overall magnetic moment obtained by superimposing the magnetic moments of each layer of original coils in their corresponding directions, used to describe the magnetic field excitation capability of the entire reactor. The principle of magnetic moment conservation means that during equivalent modeling, by adjusting the excitation parameters of the equivalent coils, the total magnetic moment generated by the equivalent model is kept consistent with the total magnetic moment generated by the original reactor, thereby enabling the equivalent model to maintain the overall magnetic field characteristics of the original reactor. Equivalent ampere-turns refer to the equivalent excitation parameters applied to the equivalent coils, used to replace the comprehensive excitation effect of the original multi-layer coils.

[0052] Furthermore, the geometric and electrical parameters of each layer of the original coil are obtained. The magnetic moment of each layer of the original coil is calculated according to the magnetic moment calculation rules, and then synthesized according to the spatial arrangement and current direction of each layer of the original coil to obtain the total magnetic moment of the multi-enclosed dry-type air-core reactor. Then, combined with the determined equivalent coil geometric parameters, the equivalent ampere-turns corresponding to the equivalent coil are calculated back according to the principle of magnetic moment conservation. Specifically, the magnetic moments of each layer of the original coil can be calculated separately and then vector-superimposed to obtain the total magnetic moment, and then the equivalent ampere-turns can be calculated based on the equivalent coil geometric parameters; alternatively, the magnetic moment corresponding to each encapsulation unit can be calculated separately, and then the magnetic moments of each encapsulation can be further synthesized into a total magnetic moment, and the equivalent ampere-turns can be determined based on the total magnetic moment; alternatively, the original coils with the same winding direction or the same electrical parameters can be grouped, the magnetic moments of each group can be calculated separately and then synthesized, and the equivalent ampere-turns can be calculated according to the principle of magnetic moment conservation. For example, when the winding direction of the original coils in each layer is consistent, the total magnetic moment can be obtained by directly summing the magnetic moments of the original coils in each layer, and the corresponding equivalent ampere-turns can be calculated. Alternatively, when there are original coils with opposite winding directions or opposite current directions in different packages, the total magnetic moment can be obtained by algebraic synthesis according to the direction of the magnetic moment, and the equivalent ampere-turns can be determined according to the geometric parameters of the equivalent coil. For another example, for multi-package dry-type air-core reactors under different operating conditions, the total magnetic moment can also be recalculated according to the actual electrical parameters of the original coils in each layer under the corresponding operating conditions, and the equivalent ampere-turns under the corresponding operating conditions can be obtained accordingly.

[0053] The electromagnetic excitation characteristics of each layer of the original coil are uniformly converted into the equivalent ampere-turns of the equivalent coil. This allows the equivalent model to maintain the overall magnetic moment characteristics consistent with the original reactor while simplifying the coil structure, which is beneficial to improving the magnetic field characterization capability of the equivalent model.

[0054] S130: Based on the equivalent coil geometric parameters and equivalent ampere-turns, establish the equivalent model of the multi-enclosed dry-type air-core reactor, and obtain the magnetic field analysis results of the multi-enclosed dry-type air-core reactor based on the equivalent model.

[0055] It is understandable that an equivalent model refers to an electromagnetic analysis model established by replacing the original multilayer coil with equivalent coil geometric parameters and equivalent ampere-turns. This reduces model complexity while maintaining electromagnetic characteristics similar to the original reactor. Magnetic field analysis refers to the process of calculating the magnetic field distribution during reactor operation based on electromagnetic field theory. It can be used to obtain magnetic field information about the space surrounding the reactor. The magnetic field analysis results refer to the magnetic field parameters calculated through the equivalent model. These can be magnetic induction intensity distribution, magnetic field intensity distribution, magnetic field line distribution, magnetic field contour distribution, magnetic field values ​​at any spatial location, or other analytical results that reflect the reactor's magnetic field characteristics. Alternatively, it can be one or more of the above results.

[0056] Furthermore, the determined equivalent coil geometric parameters are used as the geometric structure of the equivalent model, and the equivalent ampere-turns are used as the excitation parameters of the equivalent model to establish an equivalent model of a multi-enclosed dry-type air-core reactor. The electromagnetic field of the equivalent model is then solved according to the set analysis conditions to obtain the corresponding magnetic field analysis results. Specifically, the equivalent model can be imported into electromagnetic field analysis software for finite element calculation, and the corresponding magnetic field analysis results can be output based on the solution results; alternatively, the equivalent model can be used as the input model for an electromagnetic calculation program to obtain magnetic field analysis results through numerical calculation; furthermore, corresponding boundary conditions, material parameters, and operating conditions can be set according to different analysis requirements to perform magnetic field calculations on the equivalent model and obtain the magnetic field analysis results under the corresponding operating conditions. For example, the magnetic field strength distribution around the reactor can be calculated under rated operating conditions to analyze the spatial distribution characteristics of the leakage magnetic field; or the magnetic field can be calculated on the equivalent model under different operating current conditions to obtain the magnetic field analysis results corresponding to different operating conditions, and the magnetic field changes under different operating conditions can be compared; or the magnetic field analysis results of a specified measurement location or a specified area can be extracted to evaluate the magnetic field distribution at the target location, or the magnetic field cloud map or contour map of the entire solution area can be output to characterize the overall magnetic field distribution around the reactor.

[0057] An equivalent model is established using the equivalent coil geometric parameters and equivalent ampere-turns, and magnetic field analysis is performed based on the equivalent model. This reduces the model size while maintaining consistency between the equivalent model and the electromagnetic characteristics of the original reactor, which helps improve the efficiency of magnetic field analysis and ensures the accuracy of the magnetic field analysis results.

[0058] In the above embodiments, firstly, based on the geometric parameters of the original coils in each layer of the multi-enclosed dry-type air-core reactor, the equivalent coil geometric parameters are determined with the reactor's outer envelope as the reference, achieving an equivalent expression of the original multi-layer coil structure. This reduces the number of modeling objects while preserving the overall geometric boundary characteristics, thereby improving modeling efficiency. Further, the total magnetic moment is calculated based on the geometric and electrical parameters of each layer of the original coils. Based on the principle of magnetic moment conservation, the equivalent ampere-turns are calculated by combining the total magnetic moment and the equivalent coil geometric parameters, ensuring that the excitation parameters of the equivalent model match the equivalent geometric parameters. This avoids deviations in magnetic field characteristics caused by equivalence only of geometric dimensions or excitation parameters. Finally, an equivalent model of the multi-enclosed dry-type air-core reactor is established based on the equivalent coil geometric parameters and equivalent ampere-turns, and magnetic field analysis is performed accordingly. This ensures that the established equivalent model maintains high consistency with the original reactor while reducing modeling complexity, thus balancing modeling efficiency and magnetic field analysis accuracy.

[0059] In one embodiment, based on the geometric parameters of the original coils in each layer of the multi-enclosed dry-core reactor, and using the outer envelope of the multi-enclosed dry-core reactor as a reference, the equivalent coil geometric parameters are determined, including:

[0060] In a multi-encapsulated dry-type air-core reactor, the smallest inner diameter among the original coils of each layer is taken as the equivalent coil inner diameter.

[0061] Among the outer diameters of the original coils in each layer, the largest outer diameter is taken as the equivalent coil outer diameter;

[0062] The average radius of the equivalent coil is determined based on the inner diameter and outer diameter of the equivalent coil.

[0063] Among the axial heights of the original coils in each layer, the maximum axial height is taken as the equivalent coil axial height.

[0064] It is understandable that the inner diameter of the original coil refers to the diameter of the cylindrical surface formed on the inner side of the original coil, used to characterize the internal space of the coil; the outer diameter of the original coil refers to the diameter of the cylindrical surface formed on the outer side of the original coil, used to characterize the outer boundary of the coil; the average radius of the equivalent coil refers to the parameter determined based on the inner and outer diameters of the equivalent coil, characterizing the radial position of the equivalent coil, used to describe the average position of the current distribution in the equivalent coil; the axial height refers to the dimension of the coil along the central axis of the reactor, used to characterize the coverage area of ​​the coil in the axial direction. The inner diameter, outer diameter, average radius, and axial height of the equivalent coil together constitute the geometric parameters of the equivalent coil, used to describe the overall geometric shape of the equivalent coil.

[0065] Specifically, the multi-encapsulated dry-type air-core reactor includes Layered parallel coils, with each layer of original coils arranged radially in layers, wherein the first layer... The axial height corresponding to the original coil of the layer is The lower position is The average radius is Number of turns The branch current is Among them, the first The average radius of the original coil in a layer can be determined based on the inner and outer radii of the original coil in that layer, specifically:

[0066]

[0067] in, For the first The inner radius of the original coil in the layer, For the first The outer radius of the original coil in the layer.

[0068] Based on the geometric parameters of the original coils in each layer, the inner and outer diameters of the equivalent coils are determined according to the outer contour envelope rule, specifically as follows:

[0069]

[0070] in, This is the equivalent inner diameter of the coil. This is the equivalent coil outer diameter. After determining the equivalent coil inner diameter and outer diameter, the average radius of the equivalent coil is calculated based on these two values, specifically:

[0071]

[0072] in, The equivalent coil's average radius is used as the reference. Simultaneously, the maximum axial height among the axial heights corresponding to the original coils in each layer is determined as the equivalent coil's axial height, specifically:

[0073]

[0074] in, This represents the axial height of the equivalent coil.

[0075] Furthermore, one can first extract all the original coil geometric parameters, and then uniformly perform maximum and minimum value statistics and parameter calculations; alternatively, one can extract the geometric parameters of the original coils within each enclosure according to the enclosure unit, and then summarize the statistical results corresponding to each enclosure to determine the equivalent coil geometric parameters; alternatively, one can simultaneously extract various geometric parameters while establishing the original coil geometric model, and then determine the equivalent coil geometric parameters. For example, for a multi-enclosed dry-type air-core reactor with the same number of coil layers in multiple enclosures, one can directly complete the statistics of the minimum inner diameter, maximum outer diameter, and maximum axial height based on the geometric parameters of all original coils, and calculate the average radius of the equivalent coil; or for multi-enclosed dry-type air-core reactors with different numbers of coil layers and different radial dimensions in different enclosures, one can first obtain the inner diameter, outer diameter, and axial height corresponding to the original coils in each enclosure, and then uniformly statistically analyze the data of all enclosures to obtain the equivalent coil geometric parameters; furthermore, when the original coil geometric parameters come from a three-dimensional model, one can directly read the dimensional data in the model for statistical analysis, or determine the equivalent coil geometric parameters based on the structural parameters corresponding to the design drawings.

[0076] By determining the minimum inner diameter among the inner diameters of the original coils in each layer as the inner diameter of the equivalent coil, determining the maximum outer diameter among the outer diameters of the original coils in each layer as the outer diameter of the equivalent coil, determining the average radius of the equivalent coil based on the inner and outer diameters of the equivalent coil, and determining the maximum axial height among the axial heights of the original coils in each layer as the axial height of the equivalent coil, the established equivalent coil can cover the entire geometric range of the original coil and maintain the spatial characteristics corresponding to the external contour of the actual reactor. This is beneficial to improve the ability of the equivalent model to represent the actual structure while reducing the modeling complexity.

[0077] In one embodiment, the formula for calculating the total magnetic moment is:

[0078]

[0079] in, The total magnetic moment, For the first The number of turns of the original coil in the layer, For the first The branch current of the original coil in the layer, For the first The average radius of the original coil in the layer, This represents the total number of layers in the original coil.

[0080] This formula is used to calculate the total magnetic moment formed by all the original coils of a multi-encapsulated dry-type air-core reactor, in order to characterize the overall magnetic field excitation characteristics of the reactor.

[0081] It is understandable that the overall magnetic field generated by the hollow coil is the result of the combined effect of all layers of the original coil. In the far-field region and during the overall magnetic field analysis, the magnetic dipole moment is the main physical quantity determining the overall magnetic field distribution characteristics. Therefore, the magnetic moment can be used to characterize the electromagnetic excitation capability of each layer of the original coil. Among them, the first... The formula for calculating the single-layer magnetic moment corresponding to the original coil is:

[0082]

[0083] in, For the first The single-layer magnetic moment of each original coil layer is calculated. Further, the single-layer magnetic moment corresponding to each original coil layer is calculated separately, and the total magnetic moment is calculated based on the single-layer magnetic moments of all original coil layers.

[0084] By using the single-layer magnetic moment calculation formula to calculate the single-layer magnetic moment corresponding to each original coil, and by accumulating the single-layer magnetic moments of each layer according to the total magnetic moment calculation formula, the overall magnetic field excitation characteristics of the multi-enclosed dry air-core reactor can be comprehensively reflected. This provides accurate total magnetic moment parameters for calculating the equivalent ampere-turns based on the principle of magnetic moment conservation, which is beneficial to improving the equivalent model's ability to characterize the overall magnetic field characteristics of the original reactor.

[0085] In one embodiment, based on the principle of magnetic moment conservation, the equivalent ampere-turns are calculated according to the total magnetic moment and the equivalent coil geometric parameters, including:

[0086] Let the total current of the equivalent coil be equal to the sum of the branch currents of the original coils in each layer, let the magnetic moment of the equivalent coil be equal to the total magnetic moment, and calculate the equivalent ampere-turns based on the average radius of the equivalent coil.

[0087] It is understandable that the equivalent coil magnetic moment refers to the magnetic dipole moment generated by the equivalent coil after applying equivalent excitation, which is used to characterize the overall magnetic field excitation capability of the equivalent model; the equivalent coil total current refers to the total current flowing through the equivalent coil, which corresponds to the combined current formed by the branch currents of the original coils in each layer.

[0088] Specifically, based on the calculated total magnetic moment and the determined average radius of the equivalent coil, an expression for the equivalent coil magnetic moment is established. The equivalent coil magnetic moment can be expressed as:

[0089]

[0090] in, The equivalent magnetic moment of the coil, For equivalent number of turns, This is the equivalent total coil current. Let be the average radius of the equivalent coil. According to the principle of magnetic moment conservation, let the magnetic moment of the equivalent coil equal to the total magnetic moment formed by the original coil, that is:

[0091]

[0092] Furthermore, we can obtain:

[0093]

[0094] Furthermore, let the total equivalent coil current equal to the sum of the branch currents of the original coils in each layer, that is:

[0095]

[0096] in, This is the sum of the branch currents of the original coils in each layer. Substituting the total equivalent coil current into the magnetic moment conservation relation, the equivalent number of turns can be directly obtained, specifically:

[0097]

[0098] Therefore, the equivalent ampere-turns can be derived from the equivalent number of turns.

[0099] Furthermore, the total magnetic moment can be calculated based on the number of turns, branch current, and average radius of the original coils in each layer, and then the equivalent number of turns can be calculated by combining the average radius of the equivalent coil and the total current of the equivalent coil. Alternatively, the sum of the branch currents of the original coils in each layer can be counted as the total current of the equivalent coil, and then the equivalent number of turns can be calculated by back-calculating based on the magnetic moment conservation relationship. Alternatively, for different operating conditions, the total current of the equivalent coil can be re-determined based on the actual branch current of the original coils in each layer, and the equivalent number of turns can be recalculated by combining the total magnetic moment under the corresponding operating conditions. For example, when the original coils of each layer operate with the same branch current, the equivalent number of turns can be directly calculated based on the total magnetic moment, the average radius of the equivalent coil, and the sum of the branch currents. Or, when the branch currents corresponding to the original coils of each layer in different packages are different and the load changes, the total equivalent coil current can be re-determined based on the actual branch currents of the original coils of each layer, and then the equivalent number of turns under the corresponding operating conditions can be calculated. For another example, when the reactor operates at different rated capacities or different operating modes, the corresponding equivalent ampere-turns can also be calculated based on the total magnetic moment and the total equivalent coil current under the corresponding operating conditions, so that the equivalent model is consistent with the actual operating conditions.

[0100] By setting the total current of the equivalent coil to the sum of the branch currents of the original coils in each layer, and setting the magnetic moment of the equivalent coil to the total magnetic moment formed by the original coils, the equivalent number of turns is calculated based on the average radius of the equivalent coil. This allows the calculated equivalent ampere-turns to maintain the overall excitation capability and magnetic field characteristics of the original reactor, which is beneficial to improving the accuracy of magnetic field analysis of the equivalent model.

[0101] In one embodiment, the formula for calculating the equivalent ampere-turns is:

[0102]

[0103] in, For equivalent ampere-turns, For equivalent number of turns, This is the equivalent total coil current. For the first The number of turns of the original coil in the layer, For the first The branch current of the original coil in the layer, For the first The average radius of the original coil in the layer, This represents the total number of layers in the original coil. The average radius of the equivalent coil.

[0104] Specifically, this formula is used to calculate the equivalent ampere-turns of the equivalent coil based on the geometric and electrical parameters of the original coils in each layer, so as to characterize the comprehensive excitation capability of the equivalent coil.

[0105] By calculating the equivalent ampere-turns based on the number of turns, branch current, and average radius of the original coils in each layer, and in conjunction with the average radius of the equivalent coil, the equivalent coil can maintain the same comprehensive excitation capability as the original multilayer coil. This reduces modeling complexity while improving the equivalent model's ability to characterize the magnetic field characteristics of the original reactor.

[0106] In one embodiment, the method further includes:

[0107] Each layer of the original coil is divided into at least two encapsulation groups according to its radial position;

[0108] Based on the equivalent coil geometric parameters and equivalent ampere-turns corresponding to each encapsulation group, an equivalent model of a multi-encapsulated dry-type air-core reactor is established.

[0109] It is understandable that radial position refers to the spatial position of the original coil relative to the central axis of the reactor in the radial direction, which reflects the distribution relationship of each layer of original coils along the radial direction; encapsulation group refers to the coil set formed according to the radial position of the original coil, each encapsulation group includes one or more layers of original coils, and different encapsulation groups correspond to different radial regions; the equivalent coil geometric parameters corresponding to each encapsulation group refer to the equivalent inner diameter, equivalent outer diameter, equivalent average radius and equivalent axial height determined according to the original coils in the encapsulation group; the equivalent ampere-turns corresponding to each encapsulation group refer to the equivalent excitation parameters calculated based on the comprehensive excitation capability of the original coils in the encapsulation group, which are used to characterize the magnetic field excitation capability of the corresponding encapsulation group.

[0110] Furthermore, all original coils are grouped according to their radial positions, so that coils in similar radial regions are grouped into the same enclosure group. The equivalent coil geometric parameters and equivalent ampere-turns for each enclosure group are then determined. Using the equivalent coils of each enclosure group as the modeling objects, an equivalent model of the multi-enclosed dry-type air-core reactor is jointly established. Specifically, the coils can be sorted according to their average radius and divided into multiple enclosure groups based on radial position continuity; alternatively, based on the actual enclosure structure of the reactor, original coils belonging to the same enclosure can be grouped into the same enclosure group, and the equivalent coils for each enclosure group can be established separately; or, according to a preset radial layering rule, original coils in different radial ranges can be grouped into corresponding enclosure groups, and the equivalent coil geometric parameters and equivalent ampere-turns for each enclosure group can be calculated separately. For example, when a multi-encapsulated dry-type air-core reactor includes an inner encapsulation, a middle encapsulation, and an outer encapsulation, the original coils within each encapsulation can be divided into corresponding encapsulation groups, and multiple equivalent coils can be established to form an equivalent model. Alternatively, when the reactor includes multiple encapsulation units with different radial dimensions, multiple encapsulation groups can be formed according to the radial position of each encapsulation unit, and an equivalent model can be established based on the geometric parameters and equivalent ampere-turns of the equivalent coils corresponding to each encapsulation group. Furthermore, when the number of original coils is large and the radial distribution is complex, the original coils can be divided into multiple encapsulation groups according to a preset radial interval, and corresponding equivalent coils can be established for each group, so that multiple equivalent coils can jointly characterize the magnetic field characteristics of the entire multi-encapsulated dry-type air-core reactor.

[0111] By dividing the original coils of each layer into at least two encapsulation groups according to their radial positions, and establishing equivalent coils based on the equivalent coil geometric parameters and equivalent ampere-turns of each encapsulation group, the equivalent model can retain the geometric features and excitation characteristics of different radial regions while reducing the number of modeling objects. This is beneficial to further improve the accuracy of magnetic field analysis of multi-encapsulated dry air-core reactors.

[0112] In this application, the equivalent model can be established in the form of an equivalent coil; in other embodiments, it can also be established using a surface current equivalent layer; in addition to the magnetic moment conservation method, the method for determining the equivalent excitation parameters can also be the magnetic flux equivalent method or the first power weighted equivalent method of ampere-turns and equivalent radius under specific application scenarios. Different equivalent methods can be selected according to the magnetic field analysis area and accuracy requirements.

[0113] To facilitate understanding of the solution proposed in this application, examples are provided below.

[0114] like Figure 2 As shown, taking a 24 mH dry-type air-core reactor with a rated voltage of ±120 kV and a rated current of 2000 A as an example, the magnetic field analysis method for multi-encapsulated dry-type air-core reactors provided in this application is explained.

[0115] First, a two-dimensional axisymmetric geometric model of each winding layer is established based on the reactor design parameters. The reactor comprises 11 layers of encapsulation, and the dimensions of each encapsulation are shown in the table. According to the reactor's outer contour envelope rule, the overall outer envelope formed by all encapsulations is used as the geometric dimension of the equivalent coil, and the axial height of the equivalent coil is determined as follows: The equivalent inner radius of the coil is The equivalent coil outer radius is According to the formula for calculating the average radius of the equivalent coil, we can obtain:

[0116]

[0117] Subsequently, based on the corresponding geometric dimensions of each package and the branch current... The magnetic moments corresponding to each encapsulation are calculated separately and then summed to obtain the total magnetic moment of the multi-encapsulated dry-type air reactor:

[0118]

[0119] Finally, based on the principle of magnetic moment conservation, the total ampere-turns of the equivalent coil are calculated. Substituting the total magnetic moment and the average radius of the equivalent coil into the formula for calculating the equivalent ampere-turns, we obtain:

[0120]

[0121] This yields the equivalent coil geometric parameters and equivalent ampere-turns of the multi-enclosed dry-type air-core reactor, and an equivalent model is established for magnetic field analysis, reducing modeling complexity while maintaining high consistency with the original reactor.

[0122]

[0123] The magnetic field analysis device for multi-encapsulated dry-type air-core reactors provided in the embodiments of this application will be described below. The magnetic field analysis device for multi-encapsulated dry-type air-core reactors described below can be referred to in correspondence with the magnetic field analysis method for multi-encapsulated dry-type air-core reactors described above. Figure 3 As shown, this application provides a magnetic field analysis device for a multi-encapsulated dry-type air-core reactor, the device comprising:

[0124] The equivalent coil geometry parameter determination module 210 is used to determine the equivalent coil geometry parameters based on the geometry parameters of each layer of the original coil in the multi-enclosed dry-core reactor, with the outer envelope of the multi-enclosed dry-core reactor as the reference.

[0125] The equivalent ampere-turn calculation module 220 is used to calculate the total magnetic moment based on the geometric and electrical parameters of the original coils in each layer, and to calculate the equivalent ampere-turns based on the principle of magnetic moment conservation and the total magnetic moment and the geometric parameters of the equivalent coils.

[0126] The equivalent model establishment module 230 is used to establish an equivalent model of the multi-enclosed dry-type air-core reactor based on the equivalent coil geometric parameters and equivalent ampere-turns, and to obtain the magnetic field analysis results of the multi-enclosed dry-type air-core reactor based on the equivalent model.

[0127] Optionally, the equivalent coil geometry parameter determination module 210 includes:

[0128] The equivalent coil inner diameter determination unit is used to determine the minimum inner diameter among the original coils of each layer in a multi-encapsulated dry-core reactor as the equivalent coil inner diameter.

[0129] The equivalent coil outer diameter determination unit is used to determine the maximum outer diameter among the original coil outer diameters of each layer as the equivalent coil outer diameter.

[0130] The equivalent coil average radius determination unit is used to determine the average radius of the equivalent coil based on the inner diameter and outer diameter of the equivalent coil.

[0131] The equivalent coil axial height determination unit is used to determine the maximum axial height among the original coil axial heights of each layer as the equivalent coil axial height.

[0132] In one embodiment, the formula for calculating the total magnetic moment is:

[0133]

[0134] in, The total magnetic moment, For the first The number of turns of the original coil in the layer, For the first The branch current of the original coil in the layer, For the first The average radius of the original coil in the layer, This represents the total number of layers in the original coil.

[0135] In one embodiment, the equivalent ampere-turn calculation module 220 includes:

[0136] The equivalent ampere-turn calculation unit is used to make the total current of the equivalent coil equal to the sum of the branch currents of the original coils in each layer, make the magnetic moment of the equivalent coil equal to the total magnetic moment, and calculate the equivalent ampere-turns based on the average radius of the equivalent coil.

[0137] In one embodiment, the formula for calculating the equivalent ampere-turns is:

[0138]

[0139] in, For equivalent ampere-turns, For equivalent number of turns, This is the equivalent total coil current. For the first The number of turns of the original coil in the layer, For the first The branch current of the original coil in the layer, For the first The average radius of the original coil in the layer, This represents the total number of layers in the original coil. The average radius of the equivalent coil.

[0140] In one embodiment, the apparatus further includes:

[0141] Encapsulation group division module, used to divide each layer of original coils into at least two encapsulation groups according to radial position;

[0142] The equivalent model building module is used to build an equivalent model of a multi-encapsulated dry-type air-core reactor based on the equivalent coil geometric parameters and equivalent ampere-turns corresponding to each encapsulation group.

[0143] In one embodiment, this application also provides a storage medium storing computer-readable instructions that, when executed by one or more processors, cause the one or more processors to perform the steps of the magnetic field analysis method for multi-encapsulated dry air reactors as described in any of the above embodiments.

[0144] In one embodiment, this application also provides a computer device storing computer-readable instructions that, when executed by one or more processors, cause the one or more processors to perform the steps of the magnetic field analysis method for multi-encapsulated dry air reactors as described in any of the above embodiments.

[0145] Indicatively, such as Figure 4 As shown, Figure 4 This is a schematic diagram of the internal structure of a computer device 300 provided in an embodiment of this application. The computer device 300 can be provided as a server. (Refer to...) Figure 4 The computer device 300 includes a processing component 320, which further includes one or more processors, and memory resources represented by memory 310 for storing instructions, such as application programs, that can be executed by the processing component 320. The application programs stored in memory 310 may include one or more modules, each corresponding to a set of instructions. Furthermore, the processing component 320 is configured to execute instructions to perform the magnetic field analysis method for multi-encapsulated dry-core reactors according to any of the above embodiments.

[0146] The computer device 300 may also include a power supply component 330 configured to perform power management of the computer device 300, a wired or wireless network interface 340 configured to connect the computer device 300 to a network, and an input / output (I / O) interface 350. The computer device 300 may operate on an operating system stored in memory 310, such as Windows Server™, Mac OS X™, Unix™, Linux™, Free BSD™, or similar.

[0147] Those skilled in the art will understand that Figure 4 The structure shown is merely a block diagram of a portion of the structure related to the present application and does not constitute a limitation on the computer device to which the present application is applied. Specific computer devices may include more or fewer components than those shown in the figure, or combine certain components, or have different component arrangements.

[0148] Finally, it should be noted that in this document, relational terms such as "first" and "second" are used only to distinguish one entity or operation from another, and do not necessarily require or imply any such actual relationship or order between these entities or operations. Furthermore, the terms "comprising," "including," or any other variations thereof are intended to cover non-exclusive inclusion, such that a process, method, article, or apparatus that comprises a list of elements includes not only those elements but also other elements not expressly listed, or elements inherent to such a process, method, article, or apparatus. Unless otherwise specified, an element defined by the phrase "comprising one..." does not exclude the presence of other identical elements in the process, method, article, or apparatus that includes said element. In this document, "a," "an," "the," "the," and "its" may also include plural forms unless the context clearly indicates otherwise. "Multiple" refers to at least two, such as 2, 3, 5, or 8, etc. "And / or" includes any and all combinations of the related listed items.

[0149] The various embodiments in this specification are described in a progressive manner. Each embodiment focuses on the differences from other embodiments. The various embodiments can be combined as needed, and the same or similar parts can be referred to each other.

[0150] The above description of the disclosed embodiments enables those skilled in the art to make or use this application. Various modifications to these embodiments will be readily apparent to those skilled in the art, and the general principles defined herein may be implemented in other embodiments without departing from the spirit or scope of this application. Therefore, this application is not to be limited to the embodiments shown herein, but is to be accorded the widest scope consistent with the principles and novel features disclosed herein.

Claims

1. A method for magnetic field analysis of a multi-encapsulated dry-type air-core reactor, characterized in that, The method includes: Based on the geometric parameters of the original coils in each layer of the multi-enclosed dry-core reactor, and taking the outer envelope of the multi-enclosed dry-core reactor as a reference, the geometric parameters of the equivalent coil are determined. Based on the geometric and electrical parameters of the original coils in each layer, the total magnetic moment is calculated, and based on the principle of magnetic moment conservation, the equivalent ampere-turns are calculated according to the total magnetic moment and the geometric parameters of the equivalent coil. Based on the equivalent coil geometric parameters and the equivalent ampere-turns, an equivalent model of the multi-enclosed dry-type air-core reactor is established, and based on the equivalent model, the magnetic field analysis results of the multi-enclosed dry-type air-core reactor are obtained.

2. The method according to claim 1, characterized in that, The determination of equivalent coil geometric parameters based on the geometric parameters of each layer of the original coil in the multi-enclosed dry-core reactor, using the outer envelope of the multi-enclosed dry-core reactor as a reference, includes: In a multi-encapsulated dry-type air-core reactor, the smallest inner diameter among the original coils of each layer is taken as the equivalent coil inner diameter. Among the outer diameters of the original coils in each layer, the largest outer diameter is taken as the equivalent coil outer diameter; The average radius of the equivalent coil is determined based on the inner diameter and outer diameter of the equivalent coil. Among the axial heights of the original coils in each layer, the maximum axial height is taken as the equivalent coil axial height.

3. The method according to claim 1, characterized in that, The formula for calculating the total magnetic moment is: in, The total magnetic moment is... For the first The number of turns of the original coil in the layer, For the first The branch current of the original coil in the layer, For the first The average radius of the original coil in the layer, This represents the total number of layers in the original coil.

4. The method according to claim 1, characterized in that, The calculation of equivalent ampere-turns based on the principle of magnetic moment conservation, according to the total magnetic moment and the geometric parameters of the equivalent coil, includes: Let the total current of the equivalent coil be equal to the sum of the branch currents of the original coils in each layer, let the magnetic moment of the equivalent coil be equal to the total magnetic moment, and calculate the equivalent ampere-turns based on the average radius of the equivalent coil.

5. The method according to claim 4, characterized in that, The formula for calculating the equivalent ampere-turns is as follows: in, The equivalent ampere-turns, For equivalent number of turns, The equivalent total coil current is... For the first The number of turns of the original coil in the layer, For the first The branch current of the original coil in the layer, For the first The average radius of the original coil in the layer, This represents the total number of layers in the original coil. The average radius of the equivalent coil.

6. The method according to claim 1, characterized in that, The method further includes: Each layer of the original coil is divided into at least two encapsulation groups according to its radial position; Based on the equivalent coil geometric parameters and equivalent ampere-turns corresponding to each of the encapsulation groups, an equivalent model of the multi-encapsulated dry-type air-core reactor is established.

7. A magnetic field analysis device for a multi-encapsulated dry-type air-core reactor, characterized in that, The device includes: The equivalent coil geometry parameter determination module is used to determine the equivalent coil geometry parameters based on the geometry parameters of each layer of the original coil in the multi-enclosed dry-core reactor, with the outer envelope of the multi-enclosed dry-core reactor as the reference. The equivalent ampere-turn calculation module is used to calculate the total magnetic moment based on the geometric and electrical parameters of the original coils in each layer, and to calculate the equivalent ampere-turns based on the principle of magnetic moment conservation and the geometric parameters of the equivalent coils. The equivalent model establishment module is used to establish an equivalent model of the multi-enclosed dry-type air-core reactor based on the equivalent coil geometric parameters and the equivalent ampere-turns, and to obtain the magnetic field analysis results of the multi-enclosed dry-type air-core reactor based on the equivalent model.

8. The apparatus according to claim 7, characterized in that, The equivalent coil geometric parameter determination module includes: The equivalent coil inner diameter determination unit is used to determine the minimum inner diameter among the original coils of each layer in a multi-encapsulated dry-core reactor as the equivalent coil inner diameter. The equivalent coil outer diameter determination unit is used to determine the maximum outer diameter among the original coil outer diameters of each layer as the equivalent coil outer diameter. An equivalent coil average radius determination unit is used to determine the average radius of the equivalent coil based on the inner diameter and the outer diameter of the equivalent coil. The equivalent coil axial height determination unit is used to determine the maximum axial height among the original coil axial heights of each layer as the equivalent coil axial height.

9. A storage medium, characterized in that: The storage medium stores computer-readable instructions that, when executed by one or more processors, cause the one or more processors to perform the steps of the magnetic field analysis method for a multi-encapsulated dry air reactor as described in any one of claims 1 to 6.

10. A computer device, characterized in that, include: One or more processors, and memory; The memory stores computer-readable instructions, which, when executed by the one or more processors, perform the steps of the magnetic field analysis method for a multi-encapsulated dry air reactor as described in any one of claims 1 to 6.

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