A method and device for determining the synthetic electric field distribution of a three-dimensional platform insulating structure

By constructing a two-dimensional equivalent model and combining interpolation with solving the Poisson equation, the problem of low efficiency in solving three-dimensional synthetic electric field simulation is solved, and efficient and accurate electric field distribution calculation is achieved.

CN119378229BActive Publication Date: 2025-10-03ELECTRIC POWER RES INST CHINA SOUTHERN POWER GRID CO LTD +1
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Patent Information

Application Number
CN202411417831.9
Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
Filing Date
2024-10-11
Publication Date
2025-10-03
Estimated Expiration
2044-10-11

AI Technical Summary

Technical Problem

The existing technology for simulating and solving the three-dimensional synthetic electric field in high-voltage direct current equipment has poor convergence and low solution efficiency, making it difficult to meet actual needs.

Method used

By constructing a two-dimensional radial equivalent model and a two-dimensional axial equivalent model of the three-dimensional mesa insulation structure, the synthetic electric field distribution of the three-dimensional mesa insulation structure is determined based on the spatial charge distribution of these models, including interpolation and solving the Poisson equation.

Benefits of technology

The efficiency and accuracy of the calculation of the synthetic electric field distribution of the three-dimensional platform insulation structure are improved, the calculation complexity is reduced, and the accuracy of the calculation results is guaranteed.

✦ Generated by Eureka AI based on patent content.

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Abstract

The present invention relates to a method and device for determining the synthetic electric field distribution of a three-dimensional platform insulation structure, belonging to the field of electromagnetic field calculation technology. The method for determining the synthetic electric field distribution of a three-dimensional platform insulation structure includes: geometrically modeling and meshing the three-dimensional platform insulation structure to obtain a three-dimensional model corresponding to the three-dimensional platform insulation structure and node coordinates corresponding to the three-dimensional model; constructing a two-dimensional radial equivalent model and a two-dimensional axial equivalent model based on the three-dimensional model; determining the spatial charge distribution of the two-dimensional radial equivalent model and the two-dimensional axial equivalent model; and determining the synthetic electric field distribution of the three-dimensional platform insulation structure based on the spatial charge distribution of the two-dimensional radial equivalent model and the two-dimensional axial equivalent model and the node coordinates corresponding to the three-dimensional model. The present invention improves the efficiency of calculating the synthetic electric field distribution of the three-dimensional platform insulation structure while also ensuring the accuracy of the calculation results.
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Description

Technical Field

[0001] The present invention relates to the field of electromagnetic field calculation technology, and in particular to a method and device for determining the synthetic electric field distribution of a three-dimensional platform insulation structure. Background Art

[0002] In key HVDC transmission system components such as DC cables, converter transformers, and DC bushings, the accumulation of space charge under DC voltage and the resulting electric field distortion are key factors affecting insulation performance and inducing insulation failures. This is also a bottleneck currently hindering the advancement of HVDC equipment design. Calculating the resulting electric field in insulation structures with accumulated space charge is a crucial task in the insulation design of HVDC transmission and transformation equipment.

[0003] The bipolar carrier transport model is a widely accepted mathematical model for numerical simulation of synthetic electric fields. However, existing numerical simulations of synthetic electric fields have mostly focused on simple one- and two-dimensional structures. However, some regions of HVDC equipment cannot be simplified to two dimensions. Direct simulations of three-dimensional synthetic electric fields suffer from poor convergence and inefficient solutions, making them difficult to meet practical needs.

[0004] Therefore, how to improve the efficiency and accuracy of solving three-dimensional synthetic electric fields has become a technical problem that needs to be solved urgently. Summary of the Invention

[0005] In view of this, it is necessary to provide a method and device for determining the synthetic electric field distribution of a three-dimensional platform insulating structure to solve the problems of poor convergence and low solution efficiency of the current simulation solution of the three-dimensional synthetic electric field.

[0006] In order to solve the above problems, the present invention provides a method for determining the synthetic electric field distribution of a three-dimensional mesa insulating structure, comprising:

[0007] Performing geometric modeling and meshing on the three-dimensional platform insulation structure to obtain a three-dimensional model corresponding to the three-dimensional platform insulation structure and node coordinates corresponding to the three-dimensional model;

[0008] constructing a two-dimensional radial equivalent model and a two-dimensional axial equivalent model based on the three-dimensional model;

[0009] determining the spatial charge distribution of the two-dimensional radial equivalent model and the two-dimensional axial equivalent model;

[0010] Based on the spatial charge distributions of the two-dimensional radial equivalent model and the two-dimensional axial equivalent model, and the node coordinates corresponding to the three-dimensional model, the synthetic electric field distribution of the three-dimensional platform insulation structure is determined.

[0011] In one possible implementation, determining the synthetic electric field distribution of the three-dimensional platform insulation structure based on the spatial charge distributions of the two-dimensional radial equivalent model and the two-dimensional axial equivalent model, and the node coordinates corresponding to the three-dimensional model, includes:

[0012] interpolating the node charge density of the two-dimensional radial equivalent model to the cross section of the two-dimensional radial equivalent model corresponding to the three-dimensional model to obtain interpolation reference data;

[0013] Determining a plurality of axial paths in the two-dimensional axial equivalent model, and determining the node coordinates and node charge density of the two-dimensional axial equivalent model corresponding to the plurality of axial paths;

[0014] Determine, based on the node coordinates and node charge density of the two-dimensional axial equivalent model corresponding to the multiple axial paths, a relationship between the node charge density of the two-dimensional axial equivalent model and the node coordinates on each axial path;

[0015] Determining an interpolation correction coefficient corresponding to any node in the three-dimensional model based on a correspondence between node coordinates corresponding to any node in the three-dimensional model and the multiple axial paths, and a relationship between a node charge density of the two-dimensional axial equivalent model on each axial path and a change in the node coordinates;

[0016] The synthetic electric field distribution of the three-dimensional platform insulation structure is determined based on the node coordinates corresponding to any node in the three-dimensional model, the interpolation correction coefficient corresponding to any node in the three-dimensional model, and the interpolation reference data.

[0017] In one possible implementation, determining the interpolation correction coefficient corresponding to any node in the three-dimensional model based on the correspondence between the node coordinates corresponding to any node in the three-dimensional model and the multiple axial paths, and the relationship between the node charge density of the two-dimensional axial equivalent model and the node coordinates includes:

[0018] When the node coordinates corresponding to any node in the three-dimensional model are located on the multiple axial paths, determining the interpolation correction coefficient corresponding to any node in the three-dimensional model based on a relationship between the node charge density of the two-dimensional axial equivalent model and the node coordinates on the axial path where the node coordinates corresponding to any node in the three-dimensional model are located;

[0019] When the node coordinates corresponding to any node in the three-dimensional model are not located on the multiple axial paths, the interpolation correction coefficient corresponding to any node in the three-dimensional model is determined based on the relationship between the node charge density of the two-dimensional axial equivalent model and the node coordinates on two adjacent axial paths of the node coordinates corresponding to any node in the three-dimensional model.

[0020] In one possible implementation, determining a synthetic electric field distribution of the three-dimensional platform insulation structure based on node coordinates corresponding to any node in the three-dimensional model, an interpolation correction coefficient corresponding to any node in the three-dimensional model, and the interpolation reference data includes:

[0021] interpolating the interpolation reference data based on the node coordinates corresponding to any node in the three-dimensional model, and multiplying the interpolation reference data after the interpolation by the interpolation correction coefficient corresponding to any node in the three-dimensional model as the node charge density corresponding to any node in the three-dimensional model;

[0022] The synthetic electric field distribution of the three-dimensional mesa insulating structure is determined based on the node charge densities corresponding to all nodes in the three-dimensional model.

[0023] In a possible implementation, determining the synthetic electric field distribution of the three-dimensional mesa insulating structure based on the node charge densities corresponding to all nodes in the three-dimensional model includes:

[0024] Constructing a Poisson equation based on node charge densities corresponding to all nodes in the three-dimensional model;

[0025] The Poisson equation is solved to obtain the synthetic electric field distribution of the three-dimensional mesa insulating structure.

[0026] In a possible implementation, constructing a two-dimensional radial equivalent model and a two-dimensional axial equivalent model based on the three-dimensional model includes:

[0027] Using a first plane to intercept the three-dimensional model to obtain the two-dimensional radial equivalent model;

[0028] Using a second plane to intercept the three-dimensional model to obtain the two-dimensional axial equivalent model;

[0029] The first plane is a plane with the geometric center axis of the three-dimensional model as its normal, and the second plane is a plane where the geometric center axis of the three-dimensional model is located.

[0030] In a possible implementation, determining the spatial charge distribution of the two-dimensional radial equivalent model and the two-dimensional axial equivalent model includes:

[0031] Constructing mathematical models corresponding to the spatial charge distribution of the two-dimensional radial equivalent model and the two-dimensional axial equivalent model based on a bipolar carrier transport model;

[0032] The mathematical models corresponding to the space charge distributions of the two-dimensional radial equivalent model and the two-dimensional axial equivalent model are solved to obtain the space charge distributions of the two-dimensional radial equivalent model and the two-dimensional axial equivalent model.

[0033] The present invention also provides a device for determining the synthetic electric field distribution of a three-dimensional platform insulating structure, comprising:

[0034] A first construction module is used to perform geometric modeling and meshing on the three-dimensional platform insulation structure to obtain a three-dimensional model corresponding to the three-dimensional platform insulation structure and node coordinates corresponding to the three-dimensional model;

[0035] A second construction module is used to construct a two-dimensional radial equivalent model and a two-dimensional axial equivalent model based on the three-dimensional model;

[0036] A first determining module is used to determine the spatial charge distribution of the two-dimensional radial equivalent model and the two-dimensional axial equivalent model;

[0037] The second determining module is used to determine the synthetic electric field distribution of the three-dimensional platform insulation structure based on the spatial charge distribution of the two-dimensional radial equivalent model and the two-dimensional axial equivalent model, and the node coordinates corresponding to the three-dimensional model.

[0038] The present invention also provides an electronic device comprising a memory and a processor, and a computer program stored in the memory and executable on the processor. When the processor executes the program, the method for determining the synthetic electric field distribution of the three-dimensional platform insulating structure as described above is implemented.

[0039] The present invention also provides a computer-readable storage medium having a computer program stored thereon, which, when executed by a processor, implements the method for determining the synthetic electric field distribution of the three-dimensional mesa insulating structure as described above.

[0040] The beneficial effect of the present invention is that the method and device for determining the synthetic electric field distribution of the three-dimensional table insulation structure provided by the present invention can first construct a three-dimensional model corresponding to the three-dimensional table insulation structure, and then construct a two-dimensional radial equivalent model and a two-dimensional axial equivalent model based on the three-dimensional model, thereby converting the calculation of the spatial charge distribution from three-dimensional space to two-dimensional space, reducing the complexity of the synthetic electric field distribution calculation, and thus improving the efficiency of the synthetic electric field distribution calculation, and then determining the synthetic electric field distribution of the three-dimensional table insulation structure based on the spatial charge distribution of the two-dimensional radial equivalent model and the two-dimensional axial equivalent model. Compared with directly calculating the synthetic electric field distribution in three-dimensional space, it has higher accuracy. While improving the efficiency of the calculation of the synthetic electric field distribution of the three-dimensional table insulation structure, the present invention also ensures the accuracy of the calculation results. BRIEF DESCRIPTION OF THE DRAWINGS

[0041] Figure 1 A schematic flow chart of an embodiment of a method for determining a synthetic electric field distribution of a three-dimensional mesa insulating structure provided by the present invention;

[0042] Figure 2 A schematic flow chart of an embodiment of a process for determining the synthetic electric field distribution of a three-dimensional mesa insulating structure provided by the present invention;

[0043] Figure 3 A schematic structural diagram of an embodiment of a device for determining a synthetic electric field distribution of a three-dimensional platform insulating structure provided by the present invention;

[0044] Figure 4 This is a structural diagram of an embodiment of an electronic device provided by the present invention. DETAILED DESCRIPTION

[0045] The preferred embodiments of the present invention will be described in detail below in conjunction with the accompanying drawings, wherein the accompanying drawings constitute a part of this application and are used together with the embodiments of the present invention to illustrate the principles of the present invention, and are not used to limit the scope of the present invention.

[0046] In the description of the present invention, the terms "first" and "second" are used for descriptive purposes only and should not be understood to indicate or imply relative importance or implicitly specify the number of technical features indicated. Therefore, a feature specified as "first" or "second" may explicitly or implicitly include at least one of such features. Furthermore, "plurality" means at least two, for example, two, three, etc., unless otherwise specifically defined.

[0047] In the description of the present invention, reference to an "embodiment" means that a particular feature, structure, or characteristic described in connection with the embodiment may be included in at least one embodiment of the present invention. The appearance of this phrase in various places in the specification does not necessarily refer to the same embodiment, nor does it constitute a separate or alternative embodiment that is mutually exclusive of other embodiments. It is understood, both explicitly and implicitly, by those skilled in the art that the described embodiment may be combined with other embodiments.

[0048] In key HVDC transmission system components such as DC cables, converter transformers, and DC bushings, the accumulation of space charge under DC voltage and the resulting electric field distortion are key factors affecting insulation performance and inducing insulation failures. This is also a bottleneck currently hindering the advancement of HVDC equipment design. Calculating the resulting electric field in insulation structures with accumulated space charge is a crucial task in the insulation design of HVDC transmission and transformation equipment.

[0049] The bipolar carrier transport model is a widely accepted mathematical model for numerical simulation of synthetic electric fields. However, existing numerical simulations of synthetic electric fields have mostly focused on simple one- and two-dimensional structures. However, some regions of HVDC equipment cannot be simplified to two dimensions. Direct simulations of three-dimensional synthetic electric fields suffer from poor convergence and inefficient solutions, making them difficult to meet practical needs.

[0050] In order to solve the above problems, the present invention provides a method for determining the synthetic electric field distribution of a three-dimensional mesa insulating structure.

[0051] The specific embodiments are described in detail below:

[0052] A specific embodiment of the present invention discloses a method for determining the synthetic electric field distribution of a three-dimensional platform insulating structure, combining Figure 1 Come and see, Figure 1 This is a flow chart of an embodiment of a method for determining a synthetic electric field distribution of a three-dimensional mesa insulating structure provided by the present invention, comprising steps S101 to S104, wherein:

[0053] In step S101, geometric modeling and meshing are performed on the three-dimensional platform insulation structure to obtain a three-dimensional model corresponding to the three-dimensional platform insulation structure and node coordinates corresponding to the three-dimensional model;

[0054] In step S102, a two-dimensional radial equivalent model and a two-dimensional axial equivalent model are constructed based on the three-dimensional model;

[0055] In step S103, determining the spatial charge distribution of the two-dimensional radial equivalent model and the two-dimensional axial equivalent model;

[0056] In step S104 , the synthetic electric field distribution of the three-dimensional mesa insulating structure is determined based on the space charge distributions of the two-dimensional radial equivalent model and the two-dimensional axial equivalent model, and the node coordinates corresponding to the three-dimensional model.

[0057] During implementation, the three-dimensional platform insulation structure can first be geometrically modeled and meshed through external modeling of three-dimensional modeling software, direct modeling of numerical simulation software, etc., to obtain the three-dimensional model corresponding to the three-dimensional platform insulation structure and the node coordinates corresponding to the three-dimensional model.

[0058] The structural features of a three-dimensional platform insulation structure include: a cylindrical conductor passing through the platform axis; a solid insulation layer 1 of uniform thickness wrapped around the cylindrical conductor; a single or multiple layers of solid insulation material; and an insulating material 2 (fluid, solid, or other material) filled between the outer grounding shell and the solid insulation layer 1. The insulating material 2 and the grounding shell form a platform-like shape, encasing the solid insulation material 1. The three-dimensional platform insulation structure can be used to simulate local insulation structures in high-voltage DC electrical equipment, such as DC cables, converter transformer winding outgoing wires, and DC bushings.

[0059] After obtaining the three-dimensional model corresponding to the three-dimensional platform insulation structure, a two-dimensional radial equivalent model and a two-dimensional axial equivalent model can be constructed based on the three-dimensional model, and then the spatial charge distribution of the two-dimensional radial equivalent model and the two-dimensional axial equivalent model can be determined.

[0060] Finally, the synthetic electric field distribution of the three-dimensional platform insulation structure can be determined based on the spatial charge distribution of the two-dimensional radial equivalent model and the two-dimensional axial equivalent model, as well as the node coordinates corresponding to the three-dimensional model.

[0061] The method for determining the synthetic electric field distribution of a three-dimensional platform insulation structure provided by the present invention can be applied to the spatial charge distribution calculation scenario of a three-dimensional platform insulation structure in high-voltage DC electrical equipment, and can also be used in the spatial charge distribution calculation scenario of other three-dimensional platform insulation structures. The present invention does not make specific limitations on this.

[0062] Compared with the prior art, the method for determining the synthetic electric field distribution of a three-dimensional table-type insulating structure provided in this embodiment can first construct a three-dimensional model corresponding to the three-dimensional table-type insulating structure, and then construct a two-dimensional radial equivalent model and a two-dimensional axial equivalent model based on the three-dimensional model, thereby converting the calculation of the spatial charge distribution from three-dimensional space to two-dimensional space, reducing the complexity of the synthetic electric field distribution calculation, and thereby improving the efficiency of the synthetic electric field distribution calculation, and then determining the synthetic electric field distribution of the three-dimensional table-type insulating structure based on the spatial charge distribution of the two-dimensional radial equivalent model and the two-dimensional axial equivalent model. Compared with directly calculating the synthetic electric field distribution in three-dimensional space, it has higher accuracy. While improving the efficiency of the calculation of the synthetic electric field distribution of the three-dimensional table-type insulating structure, the present invention also ensures the accuracy of the calculation results.

[0063] Exemplarily, determining the synthetic electric field distribution of the three-dimensional platform insulation structure based on the spatial charge distribution of the two-dimensional radial equivalent model and the two-dimensional axial equivalent model, and the node coordinates corresponding to the three-dimensional model, includes:

[0064] interpolating the node charge density of the two-dimensional radial equivalent model to the cross section of the two-dimensional radial equivalent model corresponding to the three-dimensional model to obtain interpolation reference data;

[0065] Determining a plurality of axial paths in the two-dimensional axial equivalent model, and determining the node coordinates and node charge density of the two-dimensional axial equivalent model corresponding to the plurality of axial paths;

[0066] Determine, based on the node coordinates and node charge density of the two-dimensional axial equivalent model corresponding to the multiple axial paths, a relationship between the node charge density of the two-dimensional axial equivalent model and the node coordinates on each axial path;

[0067] Determining an interpolation correction coefficient corresponding to any node in the three-dimensional model based on a correspondence between node coordinates corresponding to any node in the three-dimensional model and the multiple axial paths, and a relationship between a node charge density of the two-dimensional axial equivalent model on each axial path and a change in the node coordinates;

[0068] The synthetic electric field distribution of the three-dimensional platform insulation structure is determined based on the node coordinates corresponding to any node in the three-dimensional model, the interpolation correction coefficient corresponding to any node in the three-dimensional model, and the interpolation reference data.

[0069] Specifically, when determining the synthetic electric field distribution of a 3D platform insulation structure based on the spatial charge distribution of a 2D radial equivalent model and a 2D axial equivalent model, and the corresponding nodal coordinates of the 3D model, the nodal charge density of the 2D radial equivalent model can first be interpolated to the corresponding cross-section of the 3D model to obtain interpolation benchmark data. Interpolation methods can include nearest neighbor interpolation and bilinear interpolation.

[0070] Then, multiple axial paths can be identified in the 2D axial equivalent model, and the corresponding nodal coordinates and nodal charge densities of the 2D axial equivalent model can be determined. An axial path is a path parallel to the axis of symmetry of the 2D axial equivalent model.

[0071] Subsequently, based on the nodal coordinates and nodal charge densities of the corresponding two-dimensional axial equivalent models on the multiple axial paths, a relationship can be determined for how the nodal charge density of the two-dimensional axial equivalent model on each axial path varies with the nodal coordinates. For example, a fitting method such as polynomial fitting or exponential fitting can be used to determine the relationship for how the nodal charge density of the two-dimensional axial equivalent model on each axial path varies with the nodal coordinates.

[0072] Then, the interpolation correction coefficient corresponding to any node in the 3D model can be determined based on the correspondence between the node coordinates corresponding to any node in the 3D model and the multiple axial paths, and the relationship between the node charge density of the 2D axial equivalent model and the node coordinates on each axial path. For example, the interpolation correction coefficient corresponding to nodes located on an axial path in the 3D model is different from that corresponding to nodes not located on an axial path.

[0073] Finally, the synthetic electric field distribution of the 3D platform insulation structure can be determined based on the node coordinates corresponding to any node in the 3D model, the interpolation correction coefficient corresponding to any node in the 3D model, and the interpolation benchmark data. For example, the synthetic electric field distribution of the 3D platform insulation structure can be obtained by interpolating and correcting the interpolation benchmark data based on the corresponding relationship between the node coordinates corresponding to any node in the 3D model in the 2D radial equivalent model.

[0074] Based on the corresponding relationship between the nodes in the three-dimensional model in the two-dimensional equivalent model and the spatial charge distribution of the two-dimensional equivalent model, the synthetic electric field distribution of the three-dimensional table-type insulating structure is further determined, which can effectively improve the accuracy of the calculation of the synthetic electric field distribution of the three-dimensional table-type insulating structure.

[0075] Exemplarily, determining the interpolation correction coefficient corresponding to any node in the three-dimensional model based on the correspondence between the node coordinates corresponding to any node in the three-dimensional model and the multiple axial paths, and the relationship between the node charge density of the two-dimensional axial equivalent model and the node coordinates includes:

[0076] When the node coordinates corresponding to any node in the three-dimensional model are located on the multiple axial paths, determining the interpolation correction coefficient corresponding to any node in the three-dimensional model based on a relationship between the node charge density of the two-dimensional axial equivalent model and the node coordinates on the axial path where the node coordinates corresponding to any node in the three-dimensional model are located;

[0077] When the node coordinates corresponding to any node in the three-dimensional model are not located on the multiple axial paths, the interpolation correction coefficient corresponding to any node in the three-dimensional model is determined based on the relationship between the node charge density of the two-dimensional axial equivalent model and the node coordinates on two adjacent axial paths of the node coordinates corresponding to any node in the three-dimensional model.

[0078] Specifically, when determining the interpolation correction coefficient corresponding to any node in the three-dimensional model based on the correspondence between the node coordinates corresponding to any node in the three-dimensional model and multiple axial paths, and the relationship between the node charge density of the two-dimensional axial equivalent model and the node coordinates, if the node is located on multiple axial paths, the interpolation correction coefficient corresponding to the node can be determined based on the relationship between the node charge density of the two-dimensional axial equivalent model and the node coordinates on the axial path where the node is located. If the node is not located on multiple axial paths, the interpolation correction coefficient corresponding to the node can be determined based on the relationship between the node charge density of the two-dimensional axial equivalent model and the node coordinates on two adjacent axial paths.

[0079] Exemplarily, determining the synthetic electric field distribution of the three-dimensional platform insulation structure based on the node coordinates corresponding to any node in the three-dimensional model, the interpolation correction coefficient corresponding to any node in the three-dimensional model, and the interpolation reference data includes:

[0080] interpolating the interpolation reference data based on the node coordinates corresponding to any node in the three-dimensional model, and multiplying the interpolation reference data after the interpolation by the interpolation correction coefficient corresponding to any node in the three-dimensional model as the node charge density corresponding to any node in the three-dimensional model;

[0081] The synthetic electric field distribution of the three-dimensional mesa insulating structure is determined based on the node charge densities corresponding to all nodes in the three-dimensional model.

[0082] Specifically, when determining the synthetic electric field distribution of a three-dimensional platform insulation structure based on the node coordinates corresponding to any node in the three-dimensional model, the interpolation correction coefficient corresponding to any node in the three-dimensional model, and the interpolation reference data, the interpolation reference data can first be interpolated based on the correspondence between the node coordinates corresponding to any node in the three-dimensional model in a two-dimensional radial equivalent plane. For example, if the node is located in the two-dimensional radial equivalent plane, then the interpolation reference data does not need to be interpolated. Otherwise, the interpolation reference data needs to be interpolated and then corrected using the interpolation correction coefficient corresponding to the node.

[0083] After obtaining the node charge densities corresponding to all nodes in the three-dimensional model, the synthetic electric field distribution of the three-dimensional platform insulation structure can be further determined based on the node charge densities corresponding to all nodes in the three-dimensional model.

[0084] Exemplarily, determining the synthetic electric field distribution of the three-dimensional mesa insulating structure based on the node charge density corresponding to all nodes in the three-dimensional model includes:

[0085] Constructing a Poisson equation based on node charge densities corresponding to all nodes in the three-dimensional model;

[0086] The Poisson equation is solved to obtain the synthetic electric field distribution of the three-dimensional mesa insulating structure.

[0087] Specifically, when determining the synthetic electric field distribution of the three-dimensional table-type insulating structure based on the node charge density corresponding to all nodes in the three-dimensional model, we can first construct a Poisson equation based on the node charge density corresponding to all nodes in the three-dimensional model, and then solve the Poisson equation to obtain the synthetic electric field distribution of the three-dimensional table-type insulating structure.

[0088] Exemplarily, constructing a two-dimensional radial equivalent model and a two-dimensional axial equivalent model based on the three-dimensional model includes:

[0089] Using a first plane to intercept the three-dimensional model to obtain the two-dimensional radial equivalent model;

[0090] Using a second plane to intercept the three-dimensional model to obtain the two-dimensional axial equivalent model;

[0091] The first plane is a plane with the geometric center axis of the three-dimensional model as its normal, and the second plane is a plane where the geometric center axis of the three-dimensional model is located.

[0092] Specifically, when constructing a two-dimensional radial equivalent model and a two-dimensional axial equivalent model based on a three-dimensional model, the plane with the geometric center axis of the three-dimensional model as the normal can be used as the first plane to intercept the three-dimensional model to obtain a two-dimensional radial equivalent model; at the same time, the plane where the geometric center axis of the three-dimensional model is located can be used as the second plane to intercept the three-dimensional model to obtain a two-dimensional axial equivalent model.

[0093] Exemplarily, determining the spatial charge distribution of the two-dimensional radial equivalent model and the two-dimensional axial equivalent model includes:

[0094] Constructing mathematical models corresponding to the spatial charge distribution of the two-dimensional radial equivalent model and the two-dimensional axial equivalent model based on a bipolar carrier transport model;

[0095] The mathematical models corresponding to the space charge distributions of the two-dimensional radial equivalent model and the two-dimensional axial equivalent model are solved to obtain the space charge distributions of the two-dimensional radial equivalent model and the two-dimensional axial equivalent model.

[0096] Specifically, when determining the spatial charge distribution of the two-dimensional radial equivalent model and the two-dimensional axial equivalent model, we can first construct a mathematical model corresponding to the spatial charge distribution of the two-dimensional radial equivalent model and the two-dimensional axial equivalent model based on the bipolar carrier transport model, and then solve the mathematical model by methods such as the transient upflow finite element method and the Runge-Kutta discontinuous Galerkin method to obtain the spatial charge distribution of the two-dimensional radial equivalent model and the two-dimensional axial equivalent model.

[0097] When constructing the mathematical models corresponding to the spatial charge distribution of the two-dimensional radial equivalent model and the two-dimensional axial equivalent model, the boundary corresponding to the central conductor in the three-dimensional model can be determined as a high potential, and the boundary corresponding to the grounded shell can be determined as a ground potential as loading boundary conditions.

[0098] The following is a specific application scenario to better illustrate the technical solution of the present invention:

[0099] Combine Figure 2 Come and see, Figure 2 This is a flow chart of an embodiment of a process for determining the synthetic electric field distribution of a three-dimensional platform insulating structure provided by the present invention. The process includes the following steps:

[0100] Step S201: geometric modeling and meshing of a three-dimensional model to obtain the coordinates of the three-dimensional model nodes.

[0101] The structural features of the three-dimensional platform insulation structure are: a cylindrical conductor passes through the platform axis; the cylindrical conductor is wrapped with a solid insulation layer 1 of uniform thickness; the solid insulation layer 1 is a single layer of solid insulation material or multiple layers of solid insulation material; the space between the solid insulation layer 1 and the grounded shell is filled with an insulating material 2 made of a fluid, solid, or other material. The insulating material 2 and the grounded shell form a platform shape and enclose the solid insulation material 1. The three-dimensional platform insulation structure can be used to simulate local insulation structures in high-voltage DC electrical equipment such as DC cables, converter transformer winding outlets, and DC bushings.

[0102] The three-dimensional insulation structure geometric model can be established by means including but not limited to external modeling with three-dimensional modeling software and direct modeling with numerical simulation software; meshing is completed on the numerical simulation software, and node numbers and node coordinates are exported as dat files.

[0103] Step S202: constructing a two-dimensional radial and a two-dimensional axial equivalent model, and calculating the spatial charge distribution of the two-dimensional equivalent model.

[0104] A certain section of the three-dimensional model parallel to the bottom surface of the platform is selected, and a two-dimensional plane-symmetric model is constructed with the section structure parameters as a two-dimensional radial equivalent model; a certain symmetry plane of the three-dimensional model perpendicular to the bottom surface of the platform is selected, and a two-dimensional axisymmetric model is established with the 1 / 2 structure of the symmetry plane along the axis as a two-dimensional axial equivalent model.

[0105] The solution steps for calculating the space charge distribution of the two-dimensional radial and two-dimensional axial equivalent models are:

[0106] (1) The boundary corresponding to the central conductor of the model is set as high potential, and the boundary corresponding to the grounded shell in the model is set as ground potential, and the boundary conditions are loaded.

[0107] (2) Selecting, including but not limited to, bipolar carrier transport models as mathematical models for the simulation calculation of spatial charge distribution of two-dimensional radial and two-dimensional axial equivalent models.

[0108] (3) Solve the mathematical model by using methods including but not limited to transient upflow finite element method, Runge-Kutta discontinuous Galerkin method, etc.

[0109] (4) Export the node coordinates and node charge density of the two-dimensional radial and two-dimensional axial equivalent models as dat files.

[0110] Step S203: obtaining interpolation reference data and interpolation correction coefficients corresponding to the three-dimensional nodes, and calculating the spatial charge density of each node in the three-dimensional model.

[0111] Based on the correspondence between the node coordinates of the 3D insulation structure model and the node coordinates of the 2D radial and 2D axial equivalent models, the interpolation benchmark data and interpolation correction coefficients corresponding to the 3D nodes are obtained, and the spatial charge density of each node of the 3D insulation structure model is obtained by interpolation mapping calculation node by node. The specific steps and methods are as follows:

[0112] (1) Using methods including but not limited to nearest neighbor interpolation and bilinear interpolation, the charge density of the two-dimensional radial model node is interpolated to the corresponding cross section of the three-dimensional insulation structure model as the interpolation benchmark data.

[0113] (2) With the symmetry axis of the two-dimensional axial model as the y-axis, in the rectangular coordinate system, near the high-voltage conductor of the two-dimensional axial model, including but not limited to the insulating material 1 part, specify Bar coordinates ( and is an integer) as the axial path.

[0114] (3) Obtaining nodes in the two-dimensional axial equivalent model Coordinates satisfy Node Coordinates and nodal charge density, 2D axial equivalent model nodes The coordinate geometry meaning corresponds to the cylindrical coordinates coordinate.

[0115] (4) Use fitting methods including but not limited to polynomial fitting, exponential fitting, etc. to obtain ( is the degree of the polynomial, The relationship between the node charge density of the two-dimensional axial equivalent model and the node coordinates (where is the polynomial fitting coefficient).

[0116] (5) Convert the node coordinates of the 3D model to the cylindrical coordinate system. The axis coincides with the axis of the central conductor of the 3D model. Coordinates satisfy , the 3D model node Nodes where coordinates and interpolation benchmark data are located The coordinates are respectively brought into the relationship between the charge density of the two-dimensional axial model node and the node coordinates , calculate the interpolation correction coefficient .

[0117] When the 3D model node to be interpolated Coordinates satisfy , looking for Bar coordinates ( and is an integer) in the axial path 3D model nodes larger than the value to be interpolated Path index of the coordinate , the path As an upper bound , the path As the lower bound , the 3D model node Nodes where coordinates and interpolation benchmark data are located The coordinates are respectively brought into the relationship between the charge density of the two-dimensional axial model node and the node coordinates , calculate the interpolation correction coefficient:

[0118]

[0119] (6) Based on the three-dimensional model nodes to be interpolated in the spatial rectangular coordinate system 、 、 Coordinate and cylindrical coordinate systems 、 、 Coordinates, when looking for satisfaction and and For a node in a three-dimensional model, the charge density corresponding to the node is multiplied by the interpolation correction coefficient Then assign it to the 3D model node to be interpolated.

[0120] When you can't find satisfaction and and The nodes in the three-dimensional model to be interpolated are 、 The coordinates are used as the coordinate index of the two-dimensional plane point, interpolated based on the interpolation benchmark data, and the interpolation benchmark data corresponding to the three-dimensional model node to be interpolated is multiplied by the interpolation correction coefficient Then assign it to the 3D model node to be interpolated.

[0121] Step S204: Loading the node space charge density in the three-dimensional model, setting boundary conditions, and solving the synthetic electric field distribution of the three-dimensional insulating structure.

[0122] Based on the spatial charge density of the nodes, boundary conditions are set and the Poisson equation is solved to obtain the synthetic electric field distribution of the three-dimensional insulating structure.

[0123] The embodiment of the present invention also provides a device for determining the synthetic electric field distribution of a three-dimensional platform insulating structure, Figure 3 Come and see, Figure 3This is a schematic structural diagram of an embodiment of a device for determining the synthetic electric field distribution of a three-dimensional mesa insulating structure provided by the present invention. The device 300 for determining the synthetic electric field distribution of a three-dimensional mesa insulating structure includes:

[0124] The first construction module 301 is used to perform geometric modeling and meshing on the three-dimensional platform insulation structure to obtain a three-dimensional model corresponding to the three-dimensional platform insulation structure and node coordinates corresponding to the three-dimensional model;

[0125] A second construction module 302 is configured to construct a two-dimensional radial equivalent model and a two-dimensional axial equivalent model based on the three-dimensional model;

[0126] A first determining module 303 is configured to determine the spatial charge distribution of the two-dimensional radial equivalent model and the two-dimensional axial equivalent model;

[0127] The second determining module 304 is configured to determine the synthetic electric field distribution of the three-dimensional platform insulation structure based on the spatial charge distributions of the two-dimensional radial equivalent model and the two-dimensional axial equivalent model, and the node coordinates corresponding to the three-dimensional model.

[0128] The specific implementation methods of each module of the device for determining the synthetic electric field distribution of a three-dimensional platform insulating structure can be referred to the description of the method for determining the synthetic electric field distribution of the three-dimensional platform insulating structure mentioned above, and have similar beneficial effects, which will not be repeated here.

[0129] The embodiment of the present invention further provides an electronic device, Figure 4 Come and see, Figure 4 This is a structural diagram of an electronic device according to an embodiment of the present invention. The electronic device 400 includes a processor 401, a memory 402, and a computer program stored in the memory 402 and executable on the processor 401. When the processor 401 executes the program, the method for determining the synthetic electric field distribution of the three-dimensional platform insulating structure as described above is implemented.

[0130] As a preferred embodiment, the electronic device 400 further includes a display 403 for displaying that the processor 401 executes the method for determining the synthetic electric field distribution of the three-dimensional mesa insulating structure as described above.

[0131] Exemplarily, the computer program may be divided into one or more modules / units, one or more of which are stored in the memory 402 and executed by the processor 401 to implement the present invention. The one or more modules / units may be a series of computer program instruction segments capable of performing specific functions, and the instruction segments are used to describe the execution process of the computer program in the electronic device 400. For example, the computer program may be divided into the first construction module 301, the second construction module 302, the first determination module 303, and the second determination module 304 in the above embodiment. The specific functions of each module are as described above and are not further described here.

[0132] The electronic device 400 may be a desktop computer, notebook, PDA, or smart phone with an adjustable camera module.

[0133] Processor 401 may be an integrated circuit chip with signal processing capabilities. The processor 401 may be a general-purpose processor, including a central processing unit (CPU), a network processor (NP), or a digital signal processor (DSP), an application-specific integrated circuit (ASIC), a field-programmable gate array (FPGA), or other programmable logic devices, discrete gate or transistor logic devices, or discrete hardware components. It can implement or execute the various methods, steps, and logic block diagrams disclosed in the embodiments of the present invention. The general-purpose processor may be a microprocessor or any conventional processor.

[0134] The memory 402 may be, but is not limited to, a random access memory (RAM), a read-only memory (ROM), a programmable read-only memory (PROM), an erasable programmable read-only memory (EPROM), an electrically erasable programmable read-only memory (EEPROM), etc. The memory 402 is used to store programs. The processor 401 executes the programs after receiving an execution instruction. The process definition method disclosed in any of the aforementioned embodiments of the present invention may be applied to the processor 401 or implemented by the processor 401.

[0135] The display 403 may be an LCD display or an LED display, for example, a display on a mobile phone.

[0136] It is understandable that Figure 4 The structure shown is only a schematic diagram of the structure of the electronic device 400. The electronic device 400 may also include Figure 4 More or fewer components as shown. Figure 4 Each component shown in the figure can be implemented by hardware, software or a combination thereof.

[0137] The electronic device provided according to the above-mentioned embodiment of the present invention can be implemented with reference to the specific description of the method for determining the synthetic electric field distribution of the three-dimensional table-shaped insulating structure according to the present invention, and has similar beneficial effects as the method for determining the synthetic electric field distribution of the three-dimensional table-shaped insulating structure as described above, which will not be repeated here.

[0138] An embodiment of the present invention further provides a computer-readable storage medium having a computer program stored thereon. When the program is executed by a processor, the method for determining the synthetic electric field distribution of the three-dimensional mesa insulating structure as described above is implemented.

[0139] Generally speaking, computer instructions for implementing the method of the present invention may be carried by any combination of one or more computer-readable storage media. Non-transitory computer-readable storage media may include any computer-readable media except for signals that are temporarily propagating.

[0140] A computer-readable storage medium may be, for example, but not limited to, an electronic, magnetic, optical, electromagnetic, infrared, or semiconductor system, apparatus, or device, or any combination thereof. More specific examples (a non-exhaustive list) of computer-readable storage media include: an electrical connection having one or more conductors, a portable computer disk, a hard disk, random access memory (RAM), read-only memory (ROM), erasable programmable read-only memory (EPROM or flash memory), optical fiber, a portable compact disk read-only memory (CD-ROM), an optical storage device, a magnetic storage device, or any suitable combination thereof. In this document, a computer-readable storage medium may be any tangible medium that can contain or store a program for use by or in connection with an instruction execution system, apparatus, or device.

[0141] Computer program code for performing the operations of the present invention can be written in one or more programming languages, or a combination thereof, including object-oriented programming languages ​​such as Java, Smalltalk, and C++, as well as conventional procedural programming languages ​​such as C or similar programming languages. In particular, Python, which is suitable for neural network computing, and platform frameworks such as TensorFlow and PyTorch can be used. The program code can be executed entirely on the user's computer, partially on the user's computer, as a stand-alone software package, partially on the user's computer and partially on a remote computer, or entirely on a remote computer or server. In the case of a remote computer, the remote computer can be connected to the user's computer via any type of network, including a local area network (LAN) or a wide area network (WAN), or can be connected to an external computer (e.g., via the Internet using an Internet service provider).

[0142] Those skilled in the art will appreciate that all or part of the process steps of the above-described embodiments can be implemented by instructing related hardware through a computer program, and the program can be stored in a computer-readable storage medium, such as a magnetic disk, an optical disk, a read-only memory, or a random access memory.

[0143] The present invention discloses a method and device for determining the synthetic electric field distribution of a three-dimensional table-type insulating structure. First, a three-dimensional model corresponding to the three-dimensional table-type insulating structure can be constructed, and then a two-dimensional radial equivalent model and a two-dimensional axial equivalent model can be constructed based on the three-dimensional model, thereby converting the calculation of the spatial charge distribution from three-dimensional space to two-dimensional space, reducing the complexity of the synthetic electric field distribution calculation, and thus improving the efficiency of the synthetic electric field distribution calculation. Then, the synthetic electric field distribution of the three-dimensional table-type insulating structure is determined based on the spatial charge distribution of the two-dimensional radial equivalent model and the two-dimensional axial equivalent model. Compared with directly calculating the synthetic electric field distribution in three-dimensional space, the method has higher accuracy. While improving the efficiency of the synthetic electric field distribution calculation of the three-dimensional table-type insulating structure, the present invention also ensures the accuracy of the calculation results.

[0144] The above description is only a preferred specific embodiment of the present invention, but the scope of protection of the present invention is not limited thereto. Any changes or substitutions that can be easily thought of by any technician familiar with this technical field within the technical scope disclosed by the present invention should be covered by the scope of protection of the present invention.

Claims

1. A method for determining the synthetic electric field distribution of a three-dimensional mesa insulating structure, characterized in that: include: Performing geometric modeling and meshing on the three-dimensional platform insulation structure to obtain a three-dimensional model corresponding to the three-dimensional platform insulation structure and node coordinates corresponding to the three-dimensional model; constructing a two-dimensional radial equivalent model and a two-dimensional axial equivalent model based on the three-dimensional model; determining the spatial charge distribution of the two-dimensional radial equivalent model and the two-dimensional axial equivalent model; Determining a synthetic electric field distribution of the three-dimensional platform insulation structure based on the spatial charge distribution of the two-dimensional radial equivalent model and the two-dimensional axial equivalent model, and the node coordinates corresponding to the three-dimensional model; The determining of the synthetic electric field distribution of the three-dimensional platform insulation structure based on the spatial charge distribution of the two-dimensional radial equivalent model and the two-dimensional axial equivalent model, and the node coordinates corresponding to the three-dimensional model, includes: interpolating the node charge density of the two-dimensional radial equivalent model to the cross section of the two-dimensional radial equivalent model corresponding to the three-dimensional model to obtain interpolation reference data; Determining a plurality of axial paths in the two-dimensional axial equivalent model, and determining the node coordinates and node charge density of the two-dimensional axial equivalent model corresponding to the plurality of axial paths; Determine, based on the node coordinates and node charge density of the two-dimensional axial equivalent model corresponding to the multiple axial paths, a relationship between the node charge density of the two-dimensional axial equivalent model and the node coordinates on each axial path; Determining an interpolation correction coefficient corresponding to any node in the three-dimensional model based on a correspondence between node coordinates corresponding to any node in the three-dimensional model and the multiple axial paths, and a relationship between a node charge density of the two-dimensional axial equivalent model on each axial path and a change in the node coordinates; The synthetic electric field distribution of the three-dimensional platform insulation structure is determined based on the node coordinates corresponding to any node in the three-dimensional model, the interpolation correction coefficient corresponding to any node in the three-dimensional model, and the interpolation reference data.

2. The method for determining the synthetic electric field distribution of a three-dimensional mesa insulating structure according to claim 1, characterized in that: The determining of the interpolation correction coefficient corresponding to any node in the three-dimensional model based on the correspondence between the node coordinates corresponding to any node in the three-dimensional model and the multiple axial paths, and the relationship between the node charge density of the two-dimensional axial equivalent model on each axial path and the node coordinates, includes: When the node coordinates corresponding to any node in the three-dimensional model are located on the multiple axial paths, determining the interpolation correction coefficient corresponding to any node in the three-dimensional model based on a relationship between the node charge density of the two-dimensional axial equivalent model and the node coordinates on the axial path where the node coordinates corresponding to any node in the three-dimensional model are located; When the node coordinates corresponding to any node in the three-dimensional model are not located on the multiple axial paths, the interpolation correction coefficient corresponding to any node in the three-dimensional model is determined based on the relationship between the node charge density of the two-dimensional axial equivalent model and the node coordinates on two adjacent axial paths of the node coordinates corresponding to any node in the three-dimensional model.

3. The method for determining the synthetic electric field distribution of a three-dimensional mesa insulating structure according to claim 2, wherein: Determining a synthetic electric field distribution of the three-dimensional platform insulation structure based on node coordinates corresponding to any node in the three-dimensional model, an interpolation correction coefficient corresponding to any node in the three-dimensional model, and the interpolation reference data includes: interpolating the interpolation reference data based on the node coordinates corresponding to any node in the three-dimensional model, and multiplying the interpolation reference data after the interpolation by the interpolation correction coefficient corresponding to any node in the three-dimensional model as the node charge density corresponding to any node in the three-dimensional model; The synthetic electric field distribution of the three-dimensional mesa insulating structure is determined based on the node charge densities corresponding to all nodes in the three-dimensional model.

4. The method for determining the synthetic electric field distribution of a three-dimensional mesa insulating structure according to claim 3, characterized in that: The determining of the synthetic electric field distribution of the three-dimensional platform insulating structure based on the node charge density corresponding to all nodes in the three-dimensional model includes: Constructing a Poisson equation based on node charge densities corresponding to all nodes in the three-dimensional model; The Poisson equation is solved to obtain the synthetic electric field distribution of the three-dimensional mesa insulating structure.

5. The method for determining the synthetic electric field distribution of a three-dimensional mesa insulating structure according to any one of claims 1 to 4, characterized in that: The constructing of a two-dimensional radial equivalent model and a two-dimensional axial equivalent model based on the three-dimensional model includes: Using a first plane to intercept the three-dimensional model to obtain the two-dimensional radial equivalent model; Using a second plane to intercept the three-dimensional model to obtain the two-dimensional axial equivalent model; The first plane is a plane with the geometric center axis of the three-dimensional model as its normal, and the second plane is a plane where the geometric center axis of the three-dimensional model is located.

6. The method for determining the synthetic electric field distribution of a three-dimensional mesa insulating structure according to claim 5, characterized in that: Determining the spatial charge distribution of the two-dimensional radial equivalent model and the two-dimensional axial equivalent model includes: Constructing mathematical models corresponding to the spatial charge distribution of the two-dimensional radial equivalent model and the two-dimensional axial equivalent model based on a bipolar carrier transport model; The mathematical models corresponding to the space charge distributions of the two-dimensional radial equivalent model and the two-dimensional axial equivalent model are solved to obtain the space charge distributions of the two-dimensional radial equivalent model and the two-dimensional axial equivalent model.

7. A device for determining the synthetic electric field distribution of a three-dimensional platform insulating structure, characterized in that: include: A first construction module is used to perform geometric modeling and meshing on the three-dimensional platform insulation structure to obtain a three-dimensional model corresponding to the three-dimensional platform insulation structure and node coordinates corresponding to the three-dimensional model; A second construction module is used to construct a two-dimensional radial equivalent model and a two-dimensional axial equivalent model based on the three-dimensional model; A first determining module is used to determine the spatial charge distribution of the two-dimensional radial equivalent model and the two-dimensional axial equivalent model; A second determining module is configured to determine a synthetic electric field distribution of the three-dimensional platform insulating structure based on the spatial charge distributions of the two-dimensional radial equivalent model and the two-dimensional axial equivalent model, and the node coordinates corresponding to the three-dimensional model; The determining of the synthetic electric field distribution of the three-dimensional platform insulation structure based on the spatial charge distribution of the two-dimensional radial equivalent model and the two-dimensional axial equivalent model, and the node coordinates corresponding to the three-dimensional model, includes: interpolating the node charge density of the two-dimensional radial equivalent model to the cross section of the two-dimensional radial equivalent model corresponding to the three-dimensional model to obtain interpolation reference data; Determining a plurality of axial paths in the two-dimensional axial equivalent model, and determining the node coordinates and node charge density of the two-dimensional axial equivalent model corresponding to the plurality of axial paths; Determine, based on the node coordinates and node charge density of the two-dimensional axial equivalent model corresponding to the multiple axial paths, a relationship between the node charge density of the two-dimensional axial equivalent model and the node coordinates on each axial path; Determining an interpolation correction coefficient corresponding to any node in the three-dimensional model based on a correspondence between node coordinates corresponding to any node in the three-dimensional model and the multiple axial paths, and a relationship between a node charge density of the two-dimensional axial equivalent model on each axial path and a change in the node coordinates; The synthetic electric field distribution of the three-dimensional platform insulation structure is determined based on the node coordinates corresponding to any node in the three-dimensional model, the interpolation correction coefficient corresponding to any node in the three-dimensional model, and the interpolation reference data.

8. An electronic device, characterized in that: The invention comprises a memory and a processor, and a computer program stored in the memory and executable on the processor. When the processor executes the program, the method for determining the synthetic electric field distribution of the three-dimensional platform insulating structure according to any one of claims 1 to 6 is implemented.

9. A computer-readable storage medium, characterized in that A computer program is stored thereon, and when the computer program is executed by a processor, the method for determining the synthetic electric field distribution of the three-dimensional mesa insulating structure according to any one of claims 1 to 6 is implemented.

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