Transformer hollow winding model building method and system based on multi-function PEEC method

Abstract

The invention discloses a transformer hollow winding model building method and system based on a multi-function PEEC method. The method comprises the steps that discretization processing is conducted on a target transformer winding, and the target transformer winding is divided into a plurality of volume units and area units; according to geometric parameters of the volume units and the area units, partial inductance matrixes, potential coefficient matrixes and resistance matrixes among all the grids are calculated; according to geometric characteristics of a target transformer winding, different improved approximation methods are adopted to calculate specific numerical values of the partial inductance matrix and the potential coefficient matrix; and establishing a target transformer winding equivalent circuit model according to the partial inductance matrix, the potential coefficient matrix and the resistance matrix of which the specific numerical values are calculated. The method not only improves the accuracy and calculation efficiency of the model, but also simplifies the model building process, improves the performance prediction capability of the transformer, and has high adaptability.

Description

Technical Field

[0001] The present invention relates to the technical field of transformer hollow winding model establishment, and in particular to a transformer hollow winding model establishment method and system based on a multi-function PEEC method. Background Art

[0002] With the continuous advancement of power systems and the increasing complexity of electromagnetic environments, the study of the behavior of transformers in the face of strong electromagnetic pulses and extremely fast-front transient events has become increasingly important. These transient events usually trigger high-frequency electromagnetic phenomena in the transformer windings, which have a profound impact on its performance and life. In order to accurately simulate these high-frequency dynamic effects in the transformer windings, the traditional modeling method uses a multi-conductor transmission line model (MTL). In this method, each turn in the transformer winding is modeled as a transmission line, which can accurately reflect the inter-turn coupling effect inside the transformer. Through this modeling method, researchers can better understand the electromagnetic behavior inside the transformer winding under extreme conditions such as strong electromagnetic pulses, and thus provide a more scientific basis for the design and protection of the transformer.

[0003] However, the traditional multi-conductor transmission line model (MTL) has certain limitations when dealing with high-frequency electromagnetic phenomena. Since it mainly focuses on the inter-turn coupling effect of the winding and ignores the three-dimensional electromagnetic field distribution inside the winding, its results are often not accurate enough when simulating high-frequency transient events. In addition, the MTL model has a huge amount of calculation when dealing with complex winding structures, resulting in a long simulation time, which is difficult to meet the real-time requirements of engineering applications.

[0004] In order to overcome these shortcomings, the multi-function partial element equivalent circuit (PEEC) method has gradually attracted attention in recent years. This method can more accurately describe the three-dimensional electromagnetic field distribution inside the winding by discretizing the transformer winding into a number of volume units and area units. By calculating the partial inductance, potential coefficient and resistance matrix between each unit, an equivalent circuit model can be established to more accurately simulate high-frequency electromagnetic phenomena.

[0005] However, the existing multi-function PEEC method still has some problems when calculating partial inductance matrices, potential coefficient matrices, and resistance matrices. For example, for units with different distances and angles, using a unified calculation method will lead to imbalanced calculation accuracy and efficiency. Summary of the invention

[0006] The purpose of this section is to summarize some aspects of embodiments of the present invention and briefly introduce some preferred embodiments. Some simplifications or omissions may be made in this section and the specification abstract and the invention title of this application to avoid blurring the purpose of this section, the specification abstract and the invention title, and such simplifications or omissions cannot be used to limit the scope of the present invention.

[0007] In view of the above existing problems, the present invention is proposed.

[0008] Therefore, the present invention provides a method and system for establishing a transformer hollow winding model based on a multi-function PEEC method, which can solve the problems mentioned in the background technology.

[0009] In order to solve the above technical problems, the present invention provides the following technical solutions:

[0010] In a first aspect, the present invention provides a method for establishing a transformer hollow winding model based on a multi-function PEEC method, comprising:

[0011] Discretize the target transformer winding and divide the target transformer winding into a plurality of volume units and area units;

[0012] According to the geometric parameters of the plurality of volume units and area units, calculating the partial inductance matrix, potential coefficient matrix and resistance matrix between all grids;

[0013] According to the geometric characteristics of the target transformer winding, different improved approximation methods are used to calculate specific values ​​of a partial inductance matrix and a potential coefficient matrix;

[0014] According to the partial inductance matrix, the potential coefficient matrix, and the resistance matrix with specific calculated values, an equivalent circuit model of the target transformer winding is established.

[0015] As a preferred scheme of the method for establishing a transformer hollow winding model based on the multi-function PEEC method described in the present invention, it also includes: the different improved approximation methods include improved parallel or vertical rectangular plane approximation, improved thin line approximation, and improved center point approximation, and the target transformer winding geometric characteristics include the central angle and distance between the center points of the grid.

[0016] As a preferred solution of the method for establishing a transformer hollow winding model based on the multi-function PEEC method described in the present invention, the target transformer winding is discretized and the target transformer winding is divided into a plurality of volume units and area units, including:

[0017] Slices are selected along the length direction of the winding, each slice is regarded as a volume unit, and the cross section of the winding is divided into multiple area units;

[0018] Assigning a unique identifier or number to each volume unit and area unit;

[0019] Recording geometric parameters of each volume unit and area unit, wherein the geometric parameters include at least the center position, length, width and height of the volume unit, and the center position, area and edge length of the area unit;

[0020] Determine the connection relationship between each volume unit and area unit, and check whether the discretized winding completely covers all areas of the original winding.

[0021] As a preferred solution of the method for establishing a transformer hollow winding model based on the multi-function PEEC method described in the present invention, the step of calculating the partial inductance matrix, potential coefficient matrix and resistance matrix between all grids according to the geometric parameters of the plurality of volume units and area units includes:

[0022] The partial inductance matrix includes for any two volume elements V m and V n , calculate the partial inductance Lp between them mn When calculating the magnetic permeability of the medium, the cross-sectional area of ​​the volume unit, and the position vector, length vector, and wave number of the center of the volume unit need to be considered at least;

[0023] And the calculated partial inductance value L pmn Fill in the partial inductance matrix L according to the volume unit number.

[0024] As a preferred solution of the method for establishing a transformer hollow winding model based on the multi-function PEEC method described in the present invention, the step of calculating the partial inductance matrix, potential coefficient matrix and resistance matrix between all grids according to the geometric parameters of the plurality of volume units and area units also includes:

[0025] The potential coefficient matrix includes for any two area units A m and A n , calculate the potential coefficient Pn between them mn When , we need to consider at least the angular frequency, the area of ​​the area unit, and the position vector and length vector of the center of the volume unit;

[0026] The calculated potential coefficient value Pn mn Fill in the potential coefficient matrix P according to the area unit number.

[0027] As a preferred solution of the method for establishing a transformer hollow winding model based on the multi-function PEEC method described in the present invention, the step of calculating the partial inductance matrix, potential coefficient matrix and resistance matrix between all grids according to the geometric parameters of the plurality of volume units and area units also includes:

[0028] Calculate the DC resistance and high-frequency impedance of the conductor based on the conductivity of the conductor and the width, height, and length of the conductor cross section;

[0029] Construct a resistor matrix that is a diagonal matrix with the values ​​on the diagonal being the DC resistance and high frequency impedance.

[0030] As a preferred solution of the method for establishing a transformer hollow winding model based on the multi-function PEEC method described in the present invention, the specific values ​​of the partial inductance matrix and the potential coefficient matrix are calculated by using different improved approximate methods according to the geometric characteristics of the target transformer winding, including:

[0031] When calculating the L and P matrices, different degrees of approximation methods are used for cells at different distances to calculate the circuit parameters required by the PEEC model. Let α be the central angle between the center points of the two grids, d be the distance between the center points of the two grids, and maxsize be the maximum size of the two grids;

[0032] When the angle α between two units is ≤5°, the improved parallel or perpendicular rectangular plane approximation method is used;

[0033] When the angle α between two units is greater than 5° and the unit spacing d is less than 30maxsize, the improved thin line approximation method is used;

[0034] When the distance between two units d ≥ 30maxsize, the improved center point approximation method is used.

[0035] In a second aspect, the present invention provides a transformer hollow winding model establishment system based on a multi-function PEEC method, comprising:

[0036] A discretization processing module, used for discretizing the target transformer winding, dividing the target transformer winding into a plurality of volume units and area units;

[0037] A matrix building module, used for calculating the partial inductance matrix, potential coefficient matrix and resistance matrix between all grids according to the geometric parameters of the plurality of volume units and area units;

[0038] A matrix solving module, used to calculate specific values ​​of a partial inductance matrix and a potential coefficient matrix using different improved approximation methods according to the geometric characteristics of the target transformer winding;

[0039] The model building module is used to build a target transformer winding equivalent circuit model according to the partial inductance matrix, the potential coefficient matrix, and the resistance matrix with specific values ​​calculated.

[0040] In a third aspect, the present invention provides a computer device, comprising a memory and a processor, wherein the memory stores a computer program, and the processor implements the steps of the above-mentioned method when executing the computer program.

[0041] In a fourth aspect, the present invention provides a computer-readable storage medium having a computer program stored thereon, wherein the computer program implements the steps of the method described above when executed by a processor.

[0042] Compared with the prior art, the beneficial effects of the present invention are as follows: the present invention proposes a method and system for establishing a transformer hollow winding model based on a multi-function PEEC method, discretizes the target transformer winding, and divides the target transformer winding into a number of volume units and area units; according to the geometric parameters of the several volume units and area units, calculates the partial inductance matrix, potential coefficient matrix and resistance matrix between all grids; according to the geometric characteristics of the target transformer winding, adopts different improved approximation methods to calculate the specific values ​​of the partial inductance matrix and the potential coefficient matrix; according to the partial inductance matrix, potential coefficient matrix and the resistance matrix with specific values ​​calculated, establishes the target transformer winding equivalent circuit model. The method and system for establishing a transformer hollow winding model based on a multi-function PEEC method proposed in the present invention not only improves the accuracy and calculation efficiency of the model, but also simplifies the model establishment process, improves the transformer performance prediction capability, and has strong adaptability. These advantages make the present invention have broad application prospects in the field of transformer design and optimization. BRIEF DESCRIPTION OF THE DRAWINGS

[0043] In order to more clearly illustrate the technical solutions of the embodiments of the present invention, the following briefly introduces the drawings required for describing the embodiments. Obviously, the drawings described below are only some embodiments of the present invention. For ordinary technicians in this field, other drawings can be obtained based on these drawings without creative labor. Among them:

[0044] Figure 1 A method flow chart of a method and system for establishing a transformer hollow winding model based on a multi-function PEEC method provided by an embodiment of the present invention;

[0045] Figure 2 A schematic diagram of classification of a transformer hollow winding model establishment method and system based on a multi-function PEEC method provided by an embodiment of the present invention;

[0046] Figure 3 An internal structural diagram of a computer device of a method and system for establishing a transformer hollow winding model based on a multi-function PEEC method provided by an embodiment of the present invention. DETAILED DESCRIPTION

[0047] In order to make the above-mentioned purposes, features and advantages of the present invention more obvious and easy to understand, the specific implementation methods of the present invention are described in detail below in conjunction with the drawings of the specification. Obviously, the described embodiments are part of the embodiments of the present invention, but not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by ordinary persons in the art without creative work should fall within the scope of protection of the present invention.

[0048] Example 1

[0049] Reference Figure 1-Figure 3 , which is the first embodiment of the present invention, and provides a method and system for establishing a transformer hollow winding model based on a multi-function PEEC method, including:

[0050] Before describing the embodiments of the present application in detail, some related concepts are first explained for the sake of clarity.

[0051] Discretization: This process involves dividing the target transformer winding into multiple smaller geometric units, including volume units and area units. The winding is sliced ​​along its length, with each slice being a volume unit, while the cross section of the winding is divided into multiple area units. Each unit is assigned a unique identifier or number, and its geometric parameters are recorded, such as the center position, length, width, and height of the volume unit, and the center position, area, and edge length of the area unit. Discretization also includes determining the connectivity between these units and ensuring that the discretized winding completely covers all areas of the original winding.

[0052] Improved parallel or perpendicular rectangular plane approximation: This is an approximation used when calculating the partial inductance between two volume elements. This method is used to simplify the calculation process when the angle α between the two volume elements is less than or equal to 5°. This means that if the two elements are arranged almost parallel or perpendicular, this simplified approximation can be used.

[0053] Improved thin-line approximation: When the angle α between two volume cells is greater than 5° and the cell spacing d is less than 30 times the maximum size maxsize, the thin-line approximation is used to calculate the partial inductance. This method is suitable for cases where there is a certain angle deviation between cells but the spacing is not particularly large.

[0054] Improved center point approximation: When the distance d between two volume cells is greater than or equal to 30 times the maximum size maxsize, the center point approximation is used. This method is suitable for cells that are far apart, when the interaction between them can be simplified to the interaction between their respective center points.

[0055] Multi-function PEEC: This is a method to establish an equivalent circuit model by dividing the transformer winding into volume units and area units. It uses partial inductance matrices, potential coefficient matrices, and resistance matrices to describe the electromagnetic behavior of the winding. The PEEC method calculates these matrices to establish an equivalent circuit that can better simulate high-frequency electromagnetic phenomena.

[0056] In the related technologies, there are some problems, such as insufficient model accuracy, low computational efficiency, and complex model building process.

[0057] The present application provides a method that can effectively solve the above-mentioned problems. Next, multiple embodiments will be combined to explain in detail how to implement the method for establishing a transformer hollow winding model based on the multi-function PEEC method.

[0058] Figure 1 A method flow chart of a transformer hollow winding model establishment method and system based on a multi-function PEEC method is shown, including:

[0059] S101, discretizing a target transformer winding to divide the target transformer winding into a plurality of volume units and area units;

[0060] S102, calculating partial inductance matrices, potential coefficient matrices, and resistance matrices between all grids according to geometric parameters of a plurality of volume units and area units;

[0061] S103, according to the geometric characteristics of the target transformer winding, using different improved approximation methods to calculate specific values ​​of the partial inductance matrix and the potential coefficient matrix;

[0062] S104, establishing a target transformer winding equivalent circuit model according to the partial inductance matrix, potential coefficient matrix, and resistance matrix with specific values ​​calculated.

[0063] In the embodiment of the present application, the target transformer winding is discretized, and the target transformer winding is divided into a number of volume units and area units including:

[0064] Slices are selected along the length direction of the winding, each slice is regarded as a volume unit, and the cross section of the winding is divided into multiple area units;

[0065] It should be noted that the appropriate discretization strategy can also be determined according to the geometric shape of the transformer winding. For example, for a long straight winding, slice discretization can be adopted along the length direction; for annular or disc-shaped windings, grid discretization can be adopted along the radial and circumferential directions.

[0066] It should be noted that in the three-dimensional space of the transformer winding, the winding is divided into a series of non-overlapping volume units according to the actual physical size of the winding. Each volume unit represents a part of the winding, and its size should be moderate to facilitate subsequent calculations, but it should not be too small to reduce the amount of calculation. The shape of the volume unit is usually regular, such as a cube or a cuboid. On the surface of each volume unit, the area unit is further divided according to the geometric characteristics of the winding. The area unit is used to describe the electromagnetic properties of the volume unit surface, such as potential distribution. The size of the area unit should be small enough to accurately capture the surface changes, but it should not be too small.

[0067] In the embodiment of the present application, further, each volume unit and area unit is assigned a unique identifier or number;

[0068] Record the geometric parameters of each volume unit and area unit, the geometric parameters at least including the center position, length, width and height of the volume unit, and the center position, area and edge length of the area unit;

[0069] In an optional embodiment, when assigning numbers to volume units, the numbers are first initialized: the volume units are assigned numbers starting from 1, and each volume unit has a unique number to ensure that each volume unit can be uniquely identified in the subsequent calculation process. Secondly, the numbers are assigned in sequence: for example, starting from one end of the winding, numbers can be assigned to each volume unit in a certain order (such as from left to right, from bottom to top). For example, the volume unit V 1 ,V 2 ,V 3 ...V n , where n represents the total number of volume units. Finally, record the number information: record the number of each volume unit and its geometric parameters, such as the center position, length, width, height, etc. of the volume unit, which will be used to calculate the partial inductance and potential coefficient.

[0070] In an optional embodiment, when assigning numbers to area units, the numbers are first initialized: the area units are also assigned numbers starting from 1 to ensure that each area unit has a unique number. Secondly, the numbers are assigned in sequence: similarly, numbers can be assigned to each area unit in a certain order (such as from outside to inside, from top to bottom). For example, area unit A 1 , A 2 , A 3 …A m, where m represents the total number of area units. Finally, record the number information: record the number of each area unit and its geometric parameters, such as the center position, area, side length, etc. of the area unit, which will be used to calculate the potential coefficient.

[0071] For example, assume there is a simple transformer winding model consisting of 4 volume elements and 8 area elements:

[0072] The volume unit number is: V 1 、V 2 、V 3 、V 4 , each volume unit has its own geometric parameters, such as V 1 The center position r 1,c , length l 1 , width w 1 , height h 1 wait.

[0073] The area unit number is: A 1 , A 2 , A 3 , A 4 , A 5 , A 6 , A 7 , A 8 , each area unit has its own geometric parameters, such as A 1 The center position r 1,c , Area S 1 , side length l 1 wait.

[0074] In the embodiment of the present application, further, the connection relationship between each volume unit and the area unit is determined, and it is checked whether the discretized winding completely covers all areas of the original winding.

[0075] In an optional embodiment, it is recorded which volume cells are adjacent to each other, for example, volume cell V i With V j Whether they share a face or edge. This record can be achieved by creating an adjacency list or adjacency matrix. Also record which area units are adjacent to each other, such as area unit A i With A j Whether they share an edge or a vertex. Create a connection matrix A, which is used to represent the connection relationship between volume units. Each row in the matrix represents a volume unit, and each column represents a possible connected volume unit. In the connection matrix A, if the volume unit V i With V jIf they are adjacent, then A(i,j) or A(j,i) is marked as 1, otherwise it is marked as 0. A similar matrix can also be created for the connection relationship between area units.

[0076] In an optional embodiment, it is confirmed whether the discretized volume cells and area cells completely cover all areas of the original winding. It can be confirmed by visual inspection or program verification that there are no missed areas. For example, the boundaries of all volume cells and area cells can be drawn to check whether there are uncovered blank areas. Confirm that all volume cells and area cells are correctly connected together and there are no isolated cells. It can be checked by traversing the connection matrix A to see if there are any cells that are not connected to other cells. For example, check whether there is any row or column in the connection matrix A that is all 0, which indicates that there may be isolated cells.

[0077] For example, it is assumed that the discretized transformer winding includes four volume units V 1 、V 2 、V 3 and V 4 , and eight area units A 1 ≡A 8 ;

[0078] Assume V 1 With V 2 Adjacent, V 2 With V 3 Adjacent, V 3 With V 4 adjacent, and V 1 With V 4 Also adjacent. The connection matrix A can be as follows:

[0079]

[0080] Assume that area unit A 1 With A 2 Adjacent, and so on. A similar connection matrix can be created to represent the connection relationship between area units.

[0081] Verify that no areas are missed by drawing the boundaries of all volume cells and area cells. For example, you can draw the boundaries of all volume cells to ensure that they are close together with no gaps.

[0082] Verify that there is no row or column in the connectivity matrix A that is all zeros, which means that there are no isolated volume cells.

[0083] It should be noted that the benefit of the above step S101 is that it can significantly improve the stability and reliability of the system. By introducing multiple verification mechanisms at key links, it is ensured that the execution of each step is strictly checked and confirmed, thereby avoiding potential errors and failures. In addition, step S101 can also improve the response speed and processing capacity of the system because it reduces unnecessary calculations and resource consumption by optimizing algorithms and data structures.

[0084] S102, calculating partial inductance matrices, potential coefficient matrices, and resistance matrices between all grids according to geometric parameters of a plurality of volume units and area units;

[0085] According to the geometric parameters of several volume units and area units, the calculation of the partial inductance matrix, potential coefficient matrix and resistance matrix between all grids includes:

[0086] The partial inductance matrix includes for any two volume elements V m and V n , calculate the partial inductance Lp between them mn When calculating the magnetic permeability of the medium, the cross-sectional area of ​​the volume unit, and the position vector, length vector, and wave number of the center of the volume unit need to be considered at least;

[0087] And the calculated partial inductance value L pmn Fill in the partial inductance matrix L according to the volume unit number.

[0088] According to the geometric parameters of several volume units and area units, the calculation of the partial inductance matrix, potential coefficient matrix and resistance matrix between all grids also includes:

[0089] The potential coefficient matrix includes for any two area units A m and A n , calculate the potential coefficient Pn between them mn When , we need to consider at least the angular frequency, the area of ​​the area unit, and the position vector and length vector of the center of the volume unit;

[0090] The calculated potential coefficient value Pn mn Fill in the potential coefficient matrix P according to the area unit number.

[0091] According to the geometric parameters of several volume units and area units, the calculation of the partial inductance matrix, potential coefficient matrix and resistance matrix between all grids also includes:

[0092] Calculate the DC resistance and high-frequency impedance of the conductor based on the conductivity of the conductor and the width, height, and length of the conductor cross section;

[0093] Construct a resistor matrix that is a diagonal matrix with the values ​​on the diagonal being the DC resistance and high frequency impedance.

[0094] In the embodiment of the present application, after the transformer winding is discretized, the PEEC method can be roughly divided into two steps. One is to calculate the partial inductance and potential coefficient matrix between all grids, such as the formula Lp mn and Pn mn , and the other is to bring the partial inductance and potential coefficient matrix into the solution equation, as shown in the third equation below:

[0095]

[0096] Among them, Lp mn is the nth volume unit V n and the mth volume unit V m The partial inductance between the two, μ is the magnetic permeability of the medium, S m and S n Represents volume unit V m and V n The cross-sectional area, k is the wave number, r m,c and r n,c Represents volume unit V m and V n The central location, m and l n Represents volume unit V m and V n The length vector, Pn mn is the nth area unit A n and the mth area unit A m The potential coefficient between them, ω is the angular frequency, L and P are the partial inductance and potential coefficient matrices, A is the connection matrix, Φ n is the node potential vector, I b is the branch circuit vector, and R is the resistance matrix. in Represents the external input current source.

[0097] R is a diagonal matrix with values ​​on its diagonal being

[0098]

[0099] Among them, R dc is the DC resistance, Z hf is the high frequency resistance, σ, w, h and l are the conductivity of the conductor, the width, height and length of the conductor cross section respectively. The frequency domain characteristics of the winding are solved according to L, P and R.

[0100] It should be noted that the benefit of the above step S102 is that it can provide more accurate electromagnetic field analysis and prediction. By calculating the partial inductance matrix, potential coefficient matrix and resistance matrix between the volume unit and the area unit, the electromagnetic behavior of the transformer winding at different frequencies can be more accurately simulated. This accurate calculation method helps to optimize the design, reduce unnecessary material waste, and improve the performance and efficiency of the transformer.

[0101] S103, according to the geometric characteristics of the target transformer winding, using different improved approximation methods to calculate specific values ​​of the partial inductance matrix and the potential coefficient matrix;

[0102] In an embodiment of the present application, different improved approximation methods include improved parallel or perpendicular rectangular plane approximation, improved thin line approximation, and improved center point approximation, and the target transformer winding geometric characteristics include the central angle and distance between grid center points.

[0103] In the embodiment of the present application, according to the geometric characteristics of the target transformer winding, different improved approximation methods are used to calculate the specific values ​​of the partial inductance matrix and the potential coefficient matrix, including:

[0104] When calculating the L and P matrices, different degrees of approximation methods are used for cells at different distances to calculate the circuit parameters required by the PEEC model. Let α be the central angle between the center points of the two grids, d be the distance between the center points of the two grids, and maxsize be the maximum size of the two grids, such as Figure 2 As shown;

[0105] When the angle α between two units is ≤5°, the improved parallel or perpendicular rectangular plane approximation method is used;

[0106] When the angle α between two units is greater than 5° and the unit spacing d is less than 30maxsize, the improved thin line approximation method is used;

[0107] When the distance between two units d ≥ 30maxsize, the improved center point approximation method is used.

[0108] In an optional embodiment, when the angle α between the two units is ≤5°, an improved parallel or perpendicular rectangular plane approximation method is used. This method is applicable to the case where the two units are almost parallel or perpendicular, and can simplify the calculation. Assume that the two volume units V m and V n If the two elements are placed almost parallel or vertically, then the two elements can be approximated as parallel or vertical rectangular planes. mn and potential coefficient Pn mnThe calculation of can be achieved by simplifying formulas, which are usually based on approximate calculations between parallel plate capacitors or perpendicular conductors. Existing parallel or perpendicular rectangular plane approximation methods may be limited to cases that are very close to parallel or perpendicular, while the improved method may relax the angle restrictions and allow it to still be applicable when it deviates slightly from parallel or perpendicular, thereby improving the scope of application.

[0109] In an optional embodiment, the improved thin line approximation method is used when the angle between the two cells α>5° and the cell spacing d<30×maxsize. This method is suitable for the case where the two cells are neither completely parallel nor perpendicular, but the spacing is close. When the angle between the two cells is slightly greater than 5° and the cell spacing is less than 30×maxsize, the two cells can be approximated as thin lines. Partial inductance Lp mn and potential coefficient Pn mn The calculation of can be achieved by thin-wire approximation formulas, which are usually based on approximate calculations between slender conductors. Existing thin-wire approximation methods may be limited to very slender cases, while improved methods may allow for angles slightly greater than 5° but with smaller spacing, thereby increasing the scope of applicability.

[0110] In an optional embodiment, when the spacing between two units d ≥ 30 × maxsize, an improved center point approximation method is used. This method is suitable for the case where the spacing between two units is large and can simplify the calculation. When the spacing between two units is large, the center point of the two units can be approximated as a point charge or a point current source. Partial inductance Lp mn and potential coefficient Pn mn The calculation of can be achieved by an approximate formula between point charges or point current sources. Existing center point approximation methods may be limited to very long distances, while the improved method may allow it to be applicable when the distance is slightly less than 30×maxsize but still larger, thereby increasing the scope of applicability.

[0111] It should be noted that the benefit of step S103 is that the most appropriate improved approximation method can be selected to calculate the specific values ​​of the partial inductance matrix and the potential coefficient matrix according to the specific geometric characteristics of the transformer winding. In this way, the accuracy of the calculation results can be ensured and the calculation efficiency can be improved. Different improved approximation methods are optimized for different geometric characteristics, so that more accurate electromagnetic field analysis results can be obtained in various situations.

[0112] It should be noted that the improved parallel or perpendicular rectangular plane approximation method can simplify the calculation process and reduce the error caused by angle restrictions. The improved thin line approximation method provides a more accurate calculation method when the unit spacing is close but the angle deviates slightly from parallel or perpendicular. The improved center point approximation method improves the calculation speed by simplifying the model when the unit spacing is large, while maintaining a certain accuracy.

[0113] It should be noted that by selecting the most appropriate improved approximation method, the electromagnetic behavior of transformer windings at different frequencies can be better simulated, thereby providing more reliable data support for transformer design and optimization. This not only helps to reduce the number of trial and error in the design process, but also reduces production costs to a certain extent and improves the performance and efficiency of the transformer.

[0114] S104, establishing a target transformer winding equivalent circuit model according to the partial inductance matrix, potential coefficient matrix, and resistance matrix with specific values ​​calculated.

[0115] In an optional embodiment, the electromagnetic behavior of the transformer winding at different frequencies can be deeply analyzed by establishing an equivalent circuit model. The frequency domain characteristic analysis includes calculating the impedance, phase angle, harmonic response and other parameters of the winding. These parameters are crucial for evaluating the performance and stability of the transformer.

[0116] The specific steps of frequency domain characteristic analysis can include:

[0117] 1. Substitute part of the inductance matrix, potential coefficient matrix and resistance matrix in the equivalent circuit model into the frequency domain analysis equation to obtain the frequency domain characteristic expression of the winding.

[0118] 2. Use frequency domain analysis software or tools, such as MATLAB or ANSYS, to solve the expression and obtain the impedance and phase angle of the winding at different frequencies.

[0119] 3. Analyze the harmonic response and determine the performance of the transformer winding under harmonic excitation to ensure its stability and reliability in practical applications.

[0120] 4. Based on the frequency domain characteristics analysis results, the design of the transformer winding is optimized to meet specific performance requirements.

[0121] In an optional embodiment, the transformer winding design can also be optimized based on the frequency domain characteristic analysis results; the frequency domain characteristic analysis results provide an important reference for the transformer winding design. Through the analysis results, the deficiencies in the design can be found and corresponding optimizations can be performed.

[0122] Specific steps to optimize transformer winding design can include:

[0123] 1. According to the analysis results of impedance and phase angle, adjust the geometric parameters of the winding, such as the number of turns, wire diameter and distance between coils, to achieve the desired impedance matching.

[0124] 2. Based on the harmonic response analysis results, optimize the layout and structure of the windings to reduce the impact of harmonics on transformer performance.

[0125] 3. Considering the influence of temperature on winding performance, the heat dissipation design of the winding is optimized to ensure its stable operation in high temperature environment.

[0126] 4. Use simulation software to verify the optimized design to ensure it meets performance requirements.

[0127] In an optional embodiment, physical manufacturing and test verification of the transformer winding may also be performed; the transformer winding with optimized design needs to be physically manufactured and tested to ensure that its performance meets expectations.

[0128] The specific steps of physical manufacturing and test verification include:

[0129] 1. Manufacture physical samples of transformer windings based on the optimized design parameters.

[0130] 2. Conduct electrical performance tests on physical samples, including measurement of parameters such as impedance, phase angle, and harmonic response, to verify whether they meet the design requirements.

[0131] 3. Perform thermal stability tests to ensure that the windings remain stable during long-term operation.

[0132] 4. Carry out mechanical strength tests on physical samples to ensure that they have sufficient mechanical strength and reliability in practical applications.

[0133] 5. Based on the test results, further optimization and adjustment are made to the physical samples to ensure their performance and stability in actual applications.

[0134] Through the above steps, it can be ensured that the design and manufacturing process of the transformer windings meet the expected requirements, thereby improving the overall performance and reliability of the transformer.

[0135] In summary, the present invention proposes a method and system for establishing a transformer hollow winding model based on a multi-function PEEC method, discretizes the target transformer winding, and divides the target transformer winding into a number of volume units and area units; according to the geometric parameters of the several volume units and area units, calculates the partial inductance matrix, potential coefficient matrix and resistance matrix between all grids; according to the geometric characteristics of the target transformer winding, different improved approximation methods are used to calculate the specific values ​​of the partial inductance matrix and the potential coefficient matrix; according to the partial inductance matrix, potential coefficient matrix and the resistance matrix with specific values ​​calculated, the target transformer winding equivalent circuit model is established. The method and system for establishing a transformer hollow winding model based on a multi-function PEEC method proposed in the present invention not only improves the accuracy and calculation efficiency of the model, but also simplifies the model establishment process, improves the transformer performance prediction ability, and has strong adaptability. These advantages make the present invention have broad application prospects in the field of transformer design and optimization.

[0136] This embodiment also provides a transformer hollow winding model establishment system based on a multi-function PEEC method, including:

[0137] A discretization processing module is used to discretize the target transformer winding and divide the target transformer winding into a plurality of volume units and area units;

[0138] A matrix building module is used to calculate the partial inductance matrix, potential coefficient matrix and resistance matrix between all grids according to the geometric parameters of several volume units and area units;

[0139] The matrix solving module is used to calculate the specific values ​​of the partial inductance matrix and the potential coefficient matrix using different improved approximation methods according to the geometric characteristics of the target transformer winding;

[0140] The model building module is used to build a target transformer winding equivalent circuit model according to a partial inductance matrix, a potential coefficient matrix, and a resistance matrix with specific values ​​calculated.

[0141] The above-mentioned unit modules may be embedded in or independent of a processor in a computer device in the form of hardware, or may be stored in a memory in a computer device in the form of software, so that the processor can call and execute operations corresponding to the above-mentioned modules.

[0142] This embodiment also provides a computer device, which may be a terminal, and its internal structure diagram may be as shown in FIG. Figure 3As shown. The computer device includes a processor, a memory, a communication interface, a display screen and an input device connected through a system bus. Among them, the processor of the computer device is used to provide computing and control capabilities. The memory of the computer device includes a non-volatile storage medium and an internal memory. The non-volatile storage medium stores an operating system and a computer program. The internal memory provides an environment for the operation of the operating system and the computer program in the non-volatile storage medium. The communication interface of the computer device is used to communicate with an external terminal in a wired or wireless manner, and the wireless manner can be achieved through WIFI, an operator network, NFC (near field communication) or other technologies. When the computer program is executed by the processor, a method for establishing a transformer hollow winding model based on a multi-function PEEC method is implemented. The display screen of the computer device can be a liquid crystal display screen or an electronic ink display screen, and the input device of the computer device can be a touch layer covered on the display screen, or a button, trackball or touchpad set on the computer device housing, or an external keyboard, touchpad or mouse, etc.

[0143] This embodiment further provides a computer-readable storage medium, on which a computer program is stored. When the computer program is executed by a processor, the following steps are implemented:

[0144] Discretize the target transformer winding and divide the target transformer winding into a plurality of volume units and area units;

[0145] According to the geometric parameters of several volume units and area units, the partial inductance matrix, potential coefficient matrix and resistance matrix of all grids are calculated;

[0146] According to the geometric characteristics of the target transformer winding, different improved approximate methods are used to calculate the specific values ​​of the partial inductance matrix and the potential coefficient matrix;

[0147] An equivalent circuit model of the target transformer winding is established based on the partial inductance matrix, potential coefficient matrix, and resistance matrix with calculated specific values.

[0148] It should be noted that the above embodiments are only used to illustrate the technical solutions of the present invention rather than to limit it. Although the present invention has been described in detail with reference to the preferred embodiments, those skilled in the art should understand that the technical solutions of the present invention may be modified or replaced by equivalents without departing from the spirit and scope of the technical solutions of the present invention, which should all be included in the scope of the claims of the present invention.

[0149] Those skilled in the art will appreciate that the embodiments of the present application can be provided as methods, systems, or computer program products. Therefore, the present application can adopt the form of complete hardware embodiments, complete software embodiments, or embodiments in combination with software and hardware. Moreover, the present application can adopt the form of a computer program product implemented on one or more computer-usable storage media (including but not limited to disk storage, CD-ROM, optical storage, etc.) that contain computer-usable program code. The scheme in the embodiments of the present application can be implemented in various computer languages, for example, object-oriented programming language Java and literal scripting language JavaScript, etc.

[0150] The present application is described with reference to the flowcharts and / or block diagrams of the methods, devices (systems), and computer program products according to the embodiments of the present application. It should be understood that each process and / or box in the flowchart and / or block diagram, as well as the combination of the processes and / or boxes in the flowchart and / or block diagram, can be implemented by computer program instructions. These computer program instructions can be provided to a processor of a general-purpose computer, a special-purpose computer, an embedded processor, or other programmable data processing device to generate a machine, so that the instructions executed by the processor of the computer or other programmable data processing device generate instructions for implementing the processes in the flowchart and / or block diagram. Figure 1 A process or multiple processes and / or boxes Figure 1 A device that provides the functions specified in a block or multiple blocks.

[0151] These computer program instructions may also be stored in a computer-readable memory capable of directing a computer or other programmable data processing device to operate in a specific manner, so that the instructions stored in the computer-readable memory produce an article of manufacture comprising an instruction device, which implements the process Figure 1 A process or multiple processes and / or boxes Figure 1 A function specified in one or more boxes.

[0152] These computer program instructions can also be loaded onto a computer or other programmable data processing device so that a series of operating steps are executed on the computer or other programmable device to produce a computer-implemented process, thereby providing instructions for implementing the process. Figure 1 A process or multiple processes and / or boxes Figure 1 The steps for the functions specified in one or more boxes.

[0153] Although the preferred embodiments of the present application have been described, those skilled in the art may make other changes and modifications to these embodiments once they have learned the basic creative concept. Therefore, the appended claims are intended to be interpreted as including the preferred embodiments and all changes and modifications falling within the scope of the present application.

[0154] Obviously, those skilled in the art can make various changes and modifications to the present application without departing from the spirit and scope of the present application. Thus, if these modifications and variations of the present application fall within the scope of the claims of the present application and their equivalents, the present application is also intended to include these modifications and variations.

Claims

1. A method for establishing a transformer hollow winding model based on a multi-function PEEC method, characterized in that: include: Discretize the target transformer winding and divide the target transformer winding into a plurality of volume units and area units; According to the geometric parameters of the plurality of volume units and area units, calculating the partial inductance matrix, potential coefficient matrix and resistance matrix between all grids; According to the geometric characteristics of the target transformer winding, different improved approximation methods are used to calculate specific values ​​of a partial inductance matrix and a potential coefficient matrix; According to the partial inductance matrix, the potential coefficient matrix, and the resistance matrix with specific calculated values, an equivalent circuit model of the target transformer winding is established.

2. The method for establishing a transformer hollow winding model based on a multi-function PEEC method according to claim 1, characterized in that: Also includes: The different improved approximation methods include improved parallel or vertical rectangular plane approximation, improved thin line approximation, and improved center point approximation. The target transformer winding geometric characteristics include the center angle and distance between grid center points.

3. The method for establishing a transformer hollow winding model based on a multi-function PEEC method according to claim 2, characterized in that: The discretization of the target transformer windings to divide the target transformer windings into a plurality of volume units and area units comprises: Slices are selected along the length direction of the winding, each slice is regarded as a volume unit, and the cross section of the winding is divided into multiple area units; Assigning a unique identifier or number to each volume unit and area unit; Recording geometric parameters of each volume unit and area unit, wherein the geometric parameters include at least the center position, length, width and height of the volume unit, and the center position, area and edge length of the area unit; Determine the connection relationship between each volume unit and area unit, and check whether the discretized winding completely covers all areas of the original winding.

4. The method for establishing a transformer hollow winding model based on a multi-function PEEC method according to claim 3, characterized in that: The step of calculating the partial inductance matrix, the potential coefficient matrix and the resistance matrix between all grids according to the geometric parameters of the plurality of volume units and area units comprises: The partial inductance matrix includes for any two volume elements V m and V n , calculate the partial inductance Lp between them mn When calculating the magnetic permeability of the medium, the cross-sectional area of ​​the volume unit, and the position vector, length vector, and wave number of the center of the volume unit need to be considered at least; And the calculated partial inductance value L pmn Fill in the partial inductance matrix L according to the volume unit number.

5. The method for establishing a transformer hollow winding model based on a multi-function PEEC method according to claim 4, characterized in that: The step of calculating the partial inductance matrix, the potential coefficient matrix and the resistance matrix between all grids according to the geometric parameters of the plurality of volume units and area units further comprises: The potential coefficient matrix includes for any two area units A m and A n , calculate the potential coefficient Pn between them mn When , we need to consider at least the angular frequency, the area of ​​the area unit, and the position vector and length vector of the center of the volume unit; The calculated potential coefficient value Pn mn Fill in the potential coefficient matrix P according to the area unit number.

6. The method for establishing a transformer hollow winding model based on a multi-function PEEC method according to claim 5, characterized in that: The step of calculating the partial inductance matrix, the potential coefficient matrix and the resistance matrix between all grids according to the geometric parameters of the plurality of volume units and area units further comprises: Calculate the DC resistance and high-frequency impedance of the conductor based on the conductivity of the conductor and the width, height, and length of the conductor cross section; Construct a resistor matrix that is a diagonal matrix with the values ​​on the diagonal being the DC resistance and high frequency impedance.

7. The method for establishing a transformer hollow winding model based on a multi-function PEEC method according to claim 6, characterized in that: The specific values ​​of partial inductance matrix and potential coefficient matrix calculated by using different improved approximation methods according to the geometric characteristics of the target transformer winding include: When calculating the L and P matrices, different degrees of approximation methods are used for cells at different distances to calculate the circuit parameters required by the PEEC model. Let α be the central angle between the center points of the two grids, d be the distance between the center points of the two grids, and maxsize be the maximum size of the two grids; When the angle α between two units is ≤5°, the improved parallel or perpendicular rectangular plane approximation method is used; When the angle α between two units is greater than 5° and the unit spacing d is less than 30maxsize, the improved thin line approximation method is used; When the distance between two units d ≥ 30maxsize, the improved center point approximation method is used.

8. A transformer hollow winding model establishment system based on a multi-function PEEC method, characterized in that: include: A discretization processing module, used for discretizing the target transformer winding, dividing the target transformer winding into a plurality of volume units and area units; A matrix building module, used for calculating the partial inductance matrix, potential coefficient matrix and resistance matrix between all grids according to the geometric parameters of the plurality of volume units and area units; A matrix solving module, used to calculate specific values ​​of a partial inductance matrix and a potential coefficient matrix using different improved approximate methods according to the geometric characteristics of the target transformer winding; The model building module is used to build a target transformer winding equivalent circuit model according to the partial inductance matrix, the potential coefficient matrix, and the resistance matrix with specific values ​​calculated.

9. A computer device comprising a memory and a processor, wherein the memory stores a computer program, wherein: When the processor executes the computer program, the steps of the method according to any one of claims 1 to 7 are implemented.

10. A computer-readable storage medium having a computer program stored thereon, characterized in that: When the computer program is executed by a processor, the steps of the method according to any one of claims 1 to 7 are implemented.

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