Leakage inductance calculation model construction method and system for leeds wire winding high-frequency transformer
By constructing a calculation model for the leakage inductance of a high-frequency transformer with Litz wire windings, the problem of inaccurate leakage inductance calculation under high-frequency conditions using traditional methods is solved, thereby achieving precision and optimization in high-frequency transformer design and improving electromagnetic compatibility and energy efficiency.
Patent Information
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- HEBEI UNIV OF TECH
- Filing Date
- 2026-03-10
- Publication Date
- 2026-06-02
AI Technical Summary
Traditional leakage inductance calculation methods cannot accurately reflect the effects of skin effect, proximity effect and complex winding structure on magnetic field distribution under high-frequency conditions, which leads to increased uncertainty in high-frequency transformer design and affects voltage regulation performance, electromagnetic compatibility and energy transmission efficiency.
A calculation model for leakage inductance of a high-frequency transformer with Litz wire winding is established. By obtaining the core window and winding parameters, a two-dimensional geometric model is constructed, electromagnetic excitation conditions are set, a high-frequency effect correction coefficient is introduced, and the magnetic field strength and energy distribution are calculated using the finite element model to predict leakage inductance.
It enables accurate prediction of leakage inductance in high-frequency transformers, improves the reliability and energy efficiency of winding structure optimization, reduces design iterations, and enhances electromagnetic compatibility and system reliability.
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Figure CN122133402A_ABST
Abstract
Description
Technical Field
[0001] This application belongs to the field of high-frequency transformer technology, and in particular relates to a method and system for constructing a calculation model of leakage inductance of a high-frequency transformer with Litz wire winding. Background Technology
[0002] With the development of power electronics technology, high-frequency switching converters have been widely used in new energy vehicles, photovoltaic inverters, communication power supplies, and industrial inverters. High-frequency transformers have advantages such as small size, light weight, high power density, and fast response speed; however, their electromagnetic characteristics are highly sensitive to operating frequency. Under high-frequency conditions, the magnetic field distribution, flux path, and current density within the core and windings change significantly, making it difficult for traditional low-frequency design methods to accurately predict leakage flux, leakage inductance, and loss characteristics. Furthermore, high-frequency operation can also cause local magnetic saturation, current distortion, and increased additional losses, placing higher demands on designs requiring high power density, high efficiency, and high reliability. Therefore, establishing a transformer design and analysis model that reflects high-frequency effects has significant theoretical and engineering value.
[0003] To reduce AC losses in windings at high frequencies, Litz wire windings are widely used in high-frequency transformers. Litz wire, through its stranded and twisted arrangement, effectively suppresses the skin effect and proximity effect, resulting in a more uniform current distribution within the conductor cross-section. However, as the operating frequency increases, the current distribution within the conductor is still affected by the skin effect and proximity effect, leading to a complex three-dimensional leakage flux distribution in the core window and winding gap regions. This high-frequency effect often causes actual leakage inductance to exceed theoretical estimates, increasing the uncertainty and optimization difficulty of transformer design. Simultaneously, local losses and heat distribution in the windings become more uneven at high frequencies, imposing stricter requirements on insulation and heat dissipation design.
[0004] The leakage inductance of high-frequency transformers not only affects voltage regulation performance and stress distribution in switching devices, but can also increase electromagnetic interference to surrounding circuits, thus impacting the overall electromagnetic compatibility of the system. It also directly affects energy transfer efficiency and system reliability. Traditional leakage inductance calculation methods mainly rely on low-frequency empirical formulas or simplified magnetic circuit analysis, which struggle to accurately reflect the effects of skin effect, proximity effect, and complex winding structure on magnetic field distribution under high-frequency conditions. Furthermore, the non-uniform three-dimensional magnetic field distribution in the core window region makes it difficult to accurately quantify leakage magnetic energy, leading to significant deviations in leakage inductance calculations. Summary of the Invention
[0005] In view of this, this application aims to propose a method and system for constructing a calculation model of leakage inductance of a high-frequency transformer with Lids wire winding, in order to solve at least one of the above problems.
[0006] To achieve the above objectives, the technical solution of this application is implemented as follows: Firstly, this application provides a method for constructing a calculation model for the leakage inductance of a high-frequency transformer with a Leeds wire winding, including: The core window parameters and Litz wire winding parameters of the high-frequency transformer are obtained, and the three-dimensional core window region is mapped to a two-dimensional plane according to the actual cross-sectional structure to establish a two-dimensional geometric model for high-frequency electromagnetic field analysis. The electromagnetic excitation conditions of the high-frequency transformer are set, and the sinusoidal excitation frequency and corresponding boundary conditions are set. At the same time, the current density distribution constraint that varies with frequency is introduced into the winding section to construct the core window finite element model. The magnetic field intensity distribution and magnetic field energy distribution within the magnetic core window region are calculated using a finite element model. A high-frequency effect correction coefficient is introduced to construct a leakage inductance calculation model that considers high-frequency effects, thereby predicting the leakage inductance within the magnetic core window region.
[0007] Secondly, based on the same inventive concept, this application also provides a system for constructing a calculation model for the leakage inductance of a Leeds wire winding high-frequency transformer, including: The geometric model building module is configured to acquire the core window parameters and Litz wire winding parameters of the high-frequency transformer, and map the three-dimensional core window region to a two-dimensional plane according to the actual cross-sectional structure to establish a two-dimensional geometric model for high-frequency electromagnetic field analysis. The boundary constraint module is configured to set the electromagnetic excitation conditions of the high-frequency transformer, and set the sinusoidal excitation frequency and corresponding boundary conditions. At the same time, it introduces the current density distribution constraint that varies with frequency in the winding section to construct the core window finite element model. The leakage inductance calculation model construction module is configured to use the finite element model to calculate the magnetic field strength distribution and magnetic field energy distribution within the magnetic core window region, and introduce a high-frequency effect correction coefficient to construct a leakage inductance calculation model that considers high-frequency effects, thereby predicting the leakage inductance within the magnetic core window region.
[0008] Thirdly, based on the same inventive concept, this application also provides an electronic device, including a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein the processor executes the program to implement the method described in the first aspect.
[0009] Fourthly, based on the same inventive concept, this application also provides a non-transitory computer-readable storage medium, wherein the non-transitory computer-readable storage medium stores computer instructions for causing the computer to perform the method as described in the first aspect.
[0010] Compared with existing technologies, the method and system for constructing a calculation model for the leakage inductance of a high-frequency transformer with a Litz wire winding described in this application have the following advantages: (1) Accurately reflects high frequency effects: This application considers the influence of skin effect and proximity effect on conductor current distribution and magnetic field distribution, and can accurately calculate the local magnetic energy density of core window and winding gap under high frequency conditions, so as to realize accurate prediction of leakage inductance of high frequency transformer.
[0011] (2) Taking into account the structural characteristics of Litz wire: This application can combine the twisted arrangement characteristics of the multi-strand conductor of Litz wire in the finite element model to capture its complex current distribution and leakage magnetic path, which significantly improves the reliability and engineering applicability of the leakage inductance calculation results.
[0012] (3) Assisted design and optimization: This application provides a reliable basis for the optimization of winding structure, electromagnetic compatibility design and energy efficiency improvement of high frequency transformers, which helps to reduce experimental iterations and improve R&D efficiency in the design stage. Attached Figure Description
[0013] The accompanying drawings, which form part of this application, are used to provide a further understanding of this application. The illustrative embodiments and descriptions of this application are used to explain this application and do not constitute an undue limitation of this application. In the drawings: Figure 1 This is a flowchart illustrating a method for constructing a calculation model for the leakage inductance of a high-frequency transformer with a Litz wire winding, as described in an embodiment of this application. Figure 2 This is a schematic diagram of a two-dimensional geometric model of the Litz wire winding high-frequency transformer described in the embodiments of this application; Figure 3 This is a schematic diagram showing the distribution of current density within the Litz line in the model described in the embodiments of this application; Figure 4 This is a schematic diagram showing the distribution of magnetic field strength within the magnetic core window in the model described in the embodiments of this application; Figure 5 This is a schematic diagram showing the distribution of leakage magnetic energy within the core window in the model described in the embodiments of this application; Figure 6 This is a schematic diagram of the system structure for constructing a calculation model of leakage inductance of a high-frequency transformer with a Litz wire winding, as described in an embodiment of this application. Figure 7 This is a schematic diagram of the hardware structure of the electronic device described in an embodiment of this application. Detailed Implementation
[0014] To make the objectives, technical solutions, and advantages of this application clearer, the following detailed description is provided in conjunction with specific embodiments and the accompanying drawings.
[0015] It should be noted that, unless otherwise defined, the technical or scientific terms used in the embodiments of this application should have the ordinary meaning understood by one of ordinary skill in the art to which this application pertains. The terms "first," "second," and similar terms used in the embodiments of this application do not indicate any order, quantity, or importance, but are merely used to distinguish different components. Terms such as "comprising" or "including" mean that the element or object preceding the word encompasses the elements or objects listed after the word and their equivalents, without excluding other elements or objects. Terms such as "connected" or "linked" are not limited to physical or mechanical connections, but can include electrical connections, whether direct or indirect. Terms such as "upper," "lower," "left," and "right" are only used to indicate relative positional relationships; when the absolute position of the described object changes, the relative positional relationship may also change accordingly.
[0016] The leakage inductance of high-frequency transformers not only affects voltage regulation performance and stress distribution in switching devices, but can also increase electromagnetic interference to surrounding circuits, thus impacting the overall electromagnetic compatibility of the system. It also directly affects energy transfer efficiency and system reliability. Traditional leakage inductance calculation methods mainly rely on low-frequency empirical formulas or simplified magnetic circuit analysis, which struggle to accurately reflect the effects of skin effect, proximity effect, and complex winding structure on magnetic field distribution under high-frequency conditions. Furthermore, the non-uniform three-dimensional magnetic field distribution in the core window region makes it difficult to accurately quantify leakage magnetic energy, leading to significant deviations in leakage inductance calculations.
[0017] Based on this, this application proposes a method for constructing a leakage inductance calculation model for a high-frequency transformer with Litz wire winding that considers high-frequency effects, in order to improve the above-mentioned technical problems. The method for constructing a leakage inductance calculation model for a high-frequency transformer with Litz wire winding described in this embodiment realizes accurate prediction of leakage inductance in high-frequency transformer design, optimizes winding structure, and improves overall energy utilization.
[0018] The embodiments of this application are described in detail below with reference to the accompanying drawings.
[0019] Please see Figure 1 As shown in the figure, this embodiment provides a method for constructing a calculation model of leakage inductance for a high-frequency transformer with a Litz wire winding, specifically including the following methods: Step S101: Obtain the core window parameters and Litz wire winding parameters of the high-frequency transformer, and map the three-dimensional core window region onto the two-dimensional plane according to the actual cross-sectional structure to establish a two-dimensional geometric model for high-frequency electromagnetic field analysis.
[0020] Specifically, in this embodiment, the determined parameters of the high-frequency transformer core window include: the window size, core material, and overall geometry. The determined parameters of the Litz wire winding include: the number of turns, layers, single-strand diameter and number of strands, winding fill factor, arrangement, and the relative position of the winding to the core. These parameters collectively determine the spatial distribution and electromagnetic field distribution of the core and winding, providing a foundation for subsequently mapping the three-dimensional window structure to a two-dimensional model, performing high-frequency electromagnetic field analysis, and calculating leakage inductance. Figure 2 A two-dimensional geometric model of a high-frequency transformer with Litz wire windings is shown.
[0021] Step S102: Set the electromagnetic excitation conditions of the high-frequency transformer, and set the sinusoidal excitation frequency and corresponding boundary conditions. At the same time, introduce the current density distribution constraint that varies with frequency in the winding section to construct the finite element model of the magnetic core window.
[0022] Specifically, in this embodiment, electromagnetic excitation conditions for the high-frequency transformer are set, a sinusoidal excitation frequency and corresponding boundary conditions are set, and a current density distribution constraint that varies with frequency is introduced into the winding cross section, so that the influence of skin effect and proximity effect on current offset behavior can be presented in the finite element model, thereby ensuring that the leakage inductance calculation results reflect the high-frequency effect. Furthermore, high-frequency effects mainly include the skin effect and the proximity effect. The principle of the skin effect is as follows: (1) (2) In the formula, For current density, For electric field strength, The magnetic field strength, For electrical conductivity, is the magnetic permeability.
[0023] These two equations can be used to connect the changes in current, magnetic field, and time to obtain the differential equation for the skin effect: (3) In the formula, ω is the angular frequency.
[0024] The exponential decay of the current density along the depth is solved as follows: (4) In the formula, Represents skin depth.
[0025] The principle of proximity effect is as follows: (5) In the formula, Let be the current density in the adjacent conductors. The electric displacement vector generates a time-varying magnetic field H inside the target conductor.
[0026] This magnetic field changes over time, according to Faraday's law. (6) A vortex electric field is induced inside the conductor. According to Ohm's law, an induced current density is generated inside the conductor. (7) The induced current and the original driving current are superimposed to form the total current density. (8) In the formula, This represents the source current density applied directly to the conductor by an external circuit.
[0027] And then through Ampere's law The redistribution of current density caused by the time-varying magnetic field of adjacent conductors, which alters the local magnetic field distribution and causes the current to shift towards the region with a weaker magnetic field, is the essence of the proximity effect.
[0028] Step S103: Calculate the magnetic field intensity distribution and magnetic field energy distribution within the magnetic core window region using a finite element model, and introduce a high-frequency effect correction coefficient to construct a leakage inductance calculation model that considers high-frequency effects, thereby predicting the leakage inductance within the magnetic core window region.
[0029] Specifically, in this embodiment, Figure 3 The distribution of current density within the Litz wire under the influence of high-frequency effects within the core window is shown. Leakage inductance can be calculated by inputting the corresponding excitation, frequency, and electromagnetic parameters into the geometric model. Methods for calculating the leakage inductance within the core window include: The principle for calculating leakage inductance is as follows: (9) (10) In the formula, This refers to the leakage magnetic energy at the core window. For leakage sensation, For winding current, It is the volume of the entire three-dimensional magnetic leakage region.
[0030] Because the software calculation process takes high-frequency effects into account, the calculated magnetic flux density within the core window is... and magnetic field strength It is also affected by high-frequency effects and varies in different regions. Ultimately, the leakage inductance within the three-dimensional magnetic core window, taking into account the effects of high-frequency effects, can be calculated.
[0031] Figure 4 The distribution of the magnetic field strength within the core window of the constructed finite element model is shown. Figure 5 The distribution of leakage magnetic energy within the core window is shown.
[0032] This embodiment further proposes a rapid calculation model for leakage inductance considering high-frequency effects, and determines the unknown coefficients in the leakage inductance model based on finite element model simulation data to predict the leakage inductance of the magnetic core window. The formula is as follows: (11) In the formula, For leakage inductance under low-frequency conditions, the traditional Dowell model can be used for calculation. This is a high-frequency effect correction term.
[0033] in, Represented as: (12) In the formula, For skin depth, as shown in equation (4), For equivalent conductor dimensions, This represents the average distance between the geometric centers of adjacent equivalent conductors, used to describe the magnetic coupling strength between adjacent current-carrying elements within the winding. This is the winding arrangement factor. , , For high-frequency correction coefficients, , , The exponential coefficient describes the nonlinearity of the effect of high-frequency effects on leakage inductance.
[0034] in, Represented as: (13) In the formula, The frequency correction factor is expressed as equation (14). The layer number correction factor is expressed as equation (15). The arrangement correction factor is expressed as equation (16).
[0035] (14) In the formula, This represents the total effective cross-sectional area of all conductors within the winding section. This represents the total area of the winding.
[0036] (15) In the formula, This refers to the number of winding layers. These are the fitting coefficients, calculated from the finite element model. The degree of nonlinearity used to describe the influence of the number of layers is also calculated by the finite element model.
[0037] (16) In the formula, , These are the fitting coefficients, calculated from the finite element model.
[0038] The method described in this embodiment establishes a two-dimensional electromagnetic field model of the core window and considers the influence of skin effect and proximity effect on winding current distribution in finite element analysis. This allows for a true reflection of the magnetic field and leakage magnetic energy distribution under high-frequency conditions. Based on this information, the leakage magnetic energy in the window region is integrated to obtain the leakage inductance value of the high-frequency transformer core window. Finally, a fast leakage inductance calculation model considering high-frequency effects is proposed, and unknown fitting coefficients are determined using a finite element model combined with the least squares method. This method can accurately calculate leakage inductance under the combined effects of winding structure and high-frequency characteristics, providing a reliable basis for the design and optimization of high-frequency transformers and significantly improving the accuracy and practicality of leakage inductance assessment.
[0039] It should be noted that the above description describes some embodiments of this application. Other embodiments are within the scope of the appended claims. In some cases, the actions or steps recorded in the claims can be performed in a different order than that shown in the above embodiments and still achieve the desired result. Furthermore, the processes depicted in the drawings do not necessarily require a specific or sequential order to achieve the desired result. In some embodiments, multitasking and parallel processing are also possible or may be advantageous.
[0040] Based on the same inventive concept, and corresponding to any of the above embodiments, the embodiments of this application also provide a system for constructing a calculation model of leakage inductance for a high-frequency transformer with a Litz wire winding.
[0041] like Figure 6 As shown, the system for constructing the leakage inductance calculation model of the Leeds wire winding high-frequency transformer includes: Model building module 11 is configured to acquire the core window parameters and Litz wire winding parameters of the high-frequency transformer, and map the three-dimensional core window region to a two-dimensional plane according to the actual cross-sectional structure to establish a two-dimensional geometric model for high-frequency electromagnetic field analysis. Boundary constraint module 12 is configured to set the electromagnetic excitation conditions of the high-frequency transformer, and set the sinusoidal excitation frequency and corresponding boundary conditions. At the same time, it introduces the current density distribution constraint that varies with frequency in the winding section to construct the core window finite element model. The leakage inductance calculation model construction module 13 is configured to use the finite element model to calculate the magnetic field intensity distribution and magnetic field energy distribution in the magnetic core window area, and introduce a high-frequency effect correction coefficient to construct a leakage inductance calculation model that considers the high-frequency effect, thereby predicting the leakage inductance in the magnetic core window area.
[0042] For ease of description, the above system is described by dividing it into various modules based on their functions. Of course, in implementing the embodiments of this application, the functions of each module can be implemented in one or more software and / or hardware.
[0043] The system described in the above embodiments is used to implement the corresponding method in any of the foregoing embodiments and has the beneficial effects of the corresponding method embodiments, which will not be repeated here.
[0044] Based on the same inventive concept, corresponding to the methods of any of the above embodiments, embodiments of this application also provide an electronic device, including a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein the processor executes the program to implement the methods described in any of the above embodiments.
[0045] Figure 7 This embodiment illustrates a more specific hardware structure of an electronic device, which may include a processor 1010, a memory 1020, an input / output interface 1030, a communication interface 1040, and a bus 1050. The processor 1010, memory 1020, input / output interface 1030, and communication interface 1040 are interconnected internally via the bus 1050.
[0046] The processor 1010 can be implemented using a general-purpose CPU (Central Processing Unit), microprocessor, application-specific integrated circuit (ASIC), or one or more integrated circuits, and is used to execute relevant programs to implement the technical solutions provided in the embodiments of this specification.
[0047] The memory 1020 can be implemented in the form of ROM (Read Only Memory), RAM (Random Access Memory), static storage device, dynamic storage device, etc. The memory 1020 can store the operating system and other applications. When the technical solutions provided in the embodiments of this specification are implemented by software or firmware, the relevant program code is stored in the memory 1020 and is called and executed by the processor 1010.
[0048] The input / output interface 1030 is used to connect input / output modules to realize information input and output. The input / output modules can be configured as components in the device (not shown in the figure) or externally connected to the device to provide corresponding functions. Input devices may include keyboards, mice, touch screens, microphones, various sensors, etc., and output devices may include displays, speakers, vibrators, indicator lights, etc.
[0049] The communication interface 1040 is used to connect a communication module (not shown in the figure) to enable communication between this device and other devices. The communication module can communicate via wired means (such as USB, Ethernet cable, etc.) or wireless means (such as mobile network, WIFI, Bluetooth, etc.).
[0050] Bus 1050 includes a pathway for transmitting information between various components of the device, such as processor 1010, memory 1020, input / output interface 1030, and communication interface 1040.
[0051] It should be noted that although the above-described device only shows the processor 1010, memory 1020, input / output interface 1030, communication interface 1040, and bus 1050, in specific implementations, the device may also include other components necessary for normal operation. Furthermore, those skilled in the art will understand that the above-described device may only include the components necessary for implementing the embodiments of this specification, and not necessarily all the components shown in the figures.
[0052] The electronic devices described above are used to implement the corresponding methods in any of the foregoing embodiments and have the beneficial effects of the corresponding method embodiments, which will not be repeated here.
[0053] Based on the same inventive concept, corresponding to the methods of any of the above embodiments, this application also provides a non-transitory computer-readable storage medium that stores computer instructions for causing the computer to perform the methods described in any of the above embodiments.
[0054] The computer-readable medium of this embodiment includes permanent and non-permanent, removable and non-removable media, and information storage can be implemented by any method or technology. Information can be computer-readable instructions, data structures, program modules, or other data. Examples of computer storage media include, but are not limited to, phase-change memory (PRAM), static random access memory (SRAM), dynamic random access memory (DRAM), other types of random access memory (RAM), read-only memory (ROM), electrically erasable programmable read-only memory (EEPROM), flash memory or other memory technologies, CD-ROM, digital versatile optical disc (DVD) or other optical storage, magnetic tape, magnetic disk storage or other magnetic storage devices, or any other non-transfer medium that can be used to store information accessible by a computing device.
[0055] The computer instructions stored in the storage medium of the above embodiments are used to cause the computer to perform the methods described in any of the above embodiments, and have the beneficial effects of the corresponding method embodiments, which will not be repeated here.
[0056] Those skilled in the art should understand that the discussion of any of the above embodiments is merely exemplary and is not intended to imply that the scope of this application (including the claims) is limited to these examples; within the framework of this application, the technical features of the above embodiments or different embodiments can also be combined, the steps can be implemented in any order, and there are many other variations of different aspects of the embodiments of this application as described above, which are not provided in the details for the sake of brevity.
[0057] Although this application has been described in conjunction with specific embodiments thereof, many substitutions, modifications, and variations of these embodiments will be apparent to those skilled in the art from the foregoing description. For example, other memory architectures (e.g., dynamic RAM (DRAM)) may be used with the embodiments discussed.
[0058] The embodiments of this application are intended to cover all such substitutions, modifications, and variations that fall within the broad scope of the appended claims. Therefore, any omissions, modifications, equivalent substitutions, improvements, etc., made within the spirit and principles of the embodiments of this application should be included within the protection scope of this application.
Claims
1. A method for constructing a calculation model for leakage inductance of a high-frequency transformer with Leeds wire winding, characterized in that, include: The core window parameters and Litz wire winding parameters of the high-frequency transformer are obtained, and the three-dimensional core window region is mapped to a two-dimensional plane according to the actual cross-sectional structure to establish a two-dimensional geometric model for high-frequency electromagnetic field analysis. The electromagnetic excitation conditions of the high-frequency transformer are set, and the sinusoidal excitation frequency and corresponding boundary conditions are set. At the same time, the current density distribution constraint that varies with frequency is introduced into the winding section to construct the core window finite element model. The magnetic field intensity distribution and magnetic field energy distribution within the magnetic core window region are calculated using a finite element model. A high-frequency effect correction coefficient is introduced to construct a leakage inductance calculation model that considers high-frequency effects, thereby predicting the leakage inductance within the magnetic core window region.
2. The method according to claim 1, characterized in that: The core window parameters include at least the core window size, core material, and overall geometry. The parameters of the Litz wire winding include at least the number of turns, number of layers, diameter and number of strands of the single strand, winding fill factor, arrangement, and relative position of the winding and the magnetic core.
3. The method according to claim 1, characterized in that: The magnetic field strength and energy distribution within the core window region are calculated using a finite element model. Based on this distribution information, the leakage magnetic energy within the window region is integrated to obtain the leakage inductance within the high-frequency transformer core window region. The formula for the leakage inductance within the high-frequency transformer core window region is as follows: ; ; In the formula, This refers to the leakage magnetic energy within the core window region. For leakage sensation, For winding current, The volume of the entire three-dimensional magnetic flux leakage region. The magnetic field strength, , where is the magnetic flux density is the vacuum permeability.
4. The method according to claim 3, characterized in that: The formula for the leakage inductance calculation model is as follows: ; In the formula, For leakage sensation, The leakage inductance under low-frequency conditions is calculated using the traditional Dowell model. This is the high-frequency effect correction coefficient.
5. The method according to claim 4, characterized in that: The formula for the high-frequency effect correction coefficient is: ; In the formula, To reach skin depth, For equivalent conductor dimensions, This represents the average distance between the geometric centers of adjacent equivalent conductors, used to describe the magnetic coupling strength between adjacent current-carrying elements within the winding. This is the winding arrangement factor. , , For high-frequency correction coefficients, , , The exponential coefficient describes the nonlinearity of the effect of high-frequency effects on leakage inductance.
6. The method according to claim 5, characterized in that: The formula for the winding arrangement factor is: ; in, , , ; In the formula, For frequency correction factor, This is the layer number correction factor. This is a correction factor for the arrangement method. This represents the total effective cross-sectional area of all conductors within the winding section. The total area of the winding, This refers to the number of winding layers. These are the fitting coefficients, calculated from the finite element model. The degree of nonlinearity used to describe the effect of the number of layers is also calculated using the finite element model. , These are the fitting coefficients, calculated from the finite element model.
7. A system for constructing a calculation model of leakage inductance for a high-frequency transformer with a Leeds wire winding, characterized in that, include: The geometric model building module is configured to acquire the core window parameters and Litz wire winding parameters of the high-frequency transformer, and map the three-dimensional core window region to a two-dimensional plane according to the actual cross-sectional structure to establish a two-dimensional geometric model for high-frequency electromagnetic field analysis. The boundary constraint module is configured to set the electromagnetic excitation conditions of the high-frequency transformer, and set the sinusoidal excitation frequency and corresponding boundary conditions. At the same time, it introduces the current density distribution constraint that varies with frequency in the winding section to construct the core window finite element model. The leakage inductance calculation model construction module is configured to use the finite element model to calculate the magnetic field intensity distribution and magnetic field energy distribution within the magnetic core window region, and introduce a high-frequency effect correction coefficient to construct a leakage inductance calculation model that considers high-frequency effects, thereby predicting the leakage inductance within the magnetic core window region.
8. An electronic device comprising a memory, a processor, and a computer program stored in the memory and executable on the processor, characterized in that, When the processor executes the program, it implements the method as described in any one of claims 1-6.
9. A non-transitory computer-readable storage medium, characterized in that, in, The non-transitory computer-readable storage medium stores computer instructions for causing a computer to perform the method described in any one of claims 1-6.