A method and system for analyzing and calculating leakage inductance of hybrid winding transformer

Abstract

The present invention relates to an analytical calculation method and system for the leakage inductance value of a hybrid winding transformer, comprising the following steps: based on the actual structure of the hybrid winding transformer, the three-dimensional magnetic field of the hybrid winding transformer is decomposed into a number of transverse magnetic fields and longitudinal magnetic fields inside and outside the window; based on the transverse magnetic fields and longitudinal magnetic fields inside and outside the window, the total transverse magnetic field obtained by superimposing all transverse magnetic fields inside and outside the window and the total longitudinal magnetic field obtained by superimposing all longitudinal magnetic fields are calculated to obtain the leakage magnetic energy per unit length, and the three-dimensional total leakage magnetic energy of the hybrid winding transformer is obtained by weighted summation according to the winding length; according to the three-dimensional total leakage magnetic energy of the hybrid winding transformer, the leakage inductance calculation result of the hybrid winding transformer is calculated. The present invention can be widely used in the fields of power electronics and high-frequency transformers.

Description

Technical Field

[0001] The invention relates to the fields of power electronics and high-frequency transformers, and in particular to an analytical calculation method and system for leakage inductance values ​​of a hybrid winding transformer. Background Art

[0002] Isolated DC-DC converters are widely used in hybrid energy systems, hybrid vehicles, satellites and other fields. Inductance is an important component of isolated DC / DC converters and directly affects the efficiency and reliability of the converter. For example, in non-resonant converters, inductance directly affects the transmission capacity and switching action; in resonant converters, inductance affects the resonant frequency and quality factor. The leakage inductance of the high-frequency transformer affects the performance and control of the isolated DC / DC converter and plays a key role in the converter. In order to improve the power density of the converter, the leakage inductance integrated in the transformer is usually used as part of the inductance in the circuit. Therefore, it is very important to accurately model the leakage inductance of the high-frequency transformer.

[0003] The calculation methods of leakage inductance are usually divided into analytical method and numerical method. The numerical method is based on finite element analysis. By solving the boundary value problem of Maxwell's equations in each sub-region, the overall magnetic field distribution and the corresponding leakage inductance value are obtained. The calculation accuracy is high, but the calculation complexity is high and the calculation time is long. The analytical method needs to solve the magnetic field distribution in the transformer window area, and then solve the corresponding leakage magnetic energy or flux linkage to obtain the transformer leakage inductance, but it is inevitable to simplify the Maxwell equations appropriately. For simple cases such as the transformer winding height is consistent with the core window height, the analytical method has a higher estimation accuracy. However, on the one hand, in order to simplify the analytical model, the influence of skin effect and proximity effect on the magnetomotive force distribution in the winding area under high-frequency conditions is often ignored. For the influence of high-frequency skin effect and proximity effect on leakage inductance, the round wire winding is often equivalent to the foil winding, and the leakage magnetic energy corresponding to the winding area can be accurately solved by Maxwell's equations. On the other hand, when the transformer winding height is less than the core window height, the magnetic field distribution in the window area cannot be simply regarded as an ideal longitudinal distribution. In addition, in order to reduce the window area of ​​the transformer core, a hybrid winding arrangement may be used in which the primary and secondary windings are wound on a certain layer at the same time. The estimation accuracy of the analytical method will be reduced. Summary of the invention

[0004] In view of the above problems, the purpose of the present invention is to propose an analytical calculation method and system for the leakage inductance of a hybrid winding high-frequency transformer for the leakage inductance problem which is difficult to analyze in high-frequency transformers. The method has a wide range of applications, high accuracy and high speed.

[0005] To achieve the above object, the present invention adopts the following technical solutions:

[0006] In a first aspect, the present invention provides a method for analytically calculating the leakage inductance value of a hybrid winding transformer, comprising the following steps:

[0007] Based on the actual structure of the hybrid winding transformer, the three-dimensional magnetic field of the hybrid winding transformer is decomposed into several transverse magnetic fields and longitudinal magnetic fields inside and outside the window;

[0008] Based on the transverse magnetic fields and longitudinal magnetic fields inside and outside the window, the three-dimensional total leakage magnetic energy of the hybrid winding transformer is calculated;

[0009] According to the three-dimensional total leakage magnetic energy of the hybrid winding transformer, the leakage inductance calculation result of the hybrid winding transformer is calculated.

[0010] Furthermore, based on the actual structure of the hybrid winding transformer, the three-dimensional magnetic field of the hybrid winding transformer is decomposed into a number of transverse magnetic fields and longitudinal magnetic fields inside and outside the window, including:

[0011] The dual 2D model is used to decompose the 3D magnetic field of the hybrid winding transformer into 2D magnetic fields with multiple layers of hybrid windings inside and outside the window.

[0012] According to the superposition theorem, the two-dimensional magnetic field with multiple layers of hybrid windings inside and outside the window is decomposed into several two-dimensional magnetic fields with single layers of hybrid windings.

[0013] Taking the window height direction and window width direction of the hybrid winding transformer as the longitudinal and transverse directions, according to the property of decoupling analysis of magnetic field energy, the two-dimensional magnetic field of each single-layer hybrid winding inside and outside the window is decomposed into several transverse magnetic fields and longitudinal magnetic fields.

[0014] Furthermore, the three-dimensional total magnetic leakage energy of the hybrid winding transformer is calculated based on the transverse magnetic fields and the longitudinal magnetic fields inside and outside the window, including:

[0015] Based on each transverse magnetic field and longitudinal magnetic field in the window, the total transverse magnetic field obtained by superimposing all the transverse magnetic fields in the window and the total longitudinal magnetic field leakage energy per unit length obtained by superimposing all the longitudinal magnetic fields are calculated;

[0016] Based on the transverse magnetic fields and longitudinal magnetic fields outside the window, the total transverse magnetic field obtained by superimposing all the transverse magnetic fields outside the window and the total longitudinal magnetic field leakage energy per unit length obtained by superimposing all the longitudinal magnetic fields are calculated;

[0017] Based on the total transverse magnetic field and the total longitudinal magnetic field leakage energy per unit length inside and outside the window, a weighted calculation is performed according to the winding length to obtain the three-dimensional total leakage magnetic energy of the hybrid winding transformer.

[0018] Further, the calculation of the total transverse magnetic field obtained by superimposing all transverse magnetic fields inside and outside the window and the total longitudinal magnetic field leakage energy per unit length obtained by superimposing all longitudinal magnetic fields based on the transverse magnetic fields and the longitudinal magnetic fields inside and outside the window includes:

[0019] The Rockwell equivalent height is used to make the transverse magnetic field and the longitudinal magnetic field equivalent;

[0020] Based on the magnetomotive force of each equivalent transverse magnetic field and longitudinal magnetic field, the leakage magnetic energy per unit length of the total transverse magnetic field obtained by superposing all transverse magnetic fields inside and outside the window and the total longitudinal magnetic field obtained by superposing all longitudinal magnetic fields are calculated respectively.

[0021] Furthermore, the calculation of the leakage magnetic energy per unit length of the total transverse magnetic field inside and outside the window includes:

[0022] ① Assuming that the window height direction is y and the window width direction is x, the inflection points and zero-crossing points of the magnetomotive force in each transverse magnetic field are sorted by value as interval nodes, and the transverse magnetic field is divided into n1 intervals (l i ,l i+1 ), i = 1, ..., n1; where l i are the interval node coordinates;

[0023] ②Let i = 1, and let y start = l i ,y end = l i+1 ;

[0024] ③In the interval y start ≤y <y end The transverse magnetic field is divided into n2 intervals in the x-axis direction according to the superposition situation, and the coordinates of the interval nodes are d i,j , j=1,…,n 2,i ;

[0025] ④Let j = 1, and let x start =d i,j , x end =d i,j+1 ;

[0026] ⑤In x start ≤x <x end ;y start ≤y <y end In the rectangular area, determine the superposition of the transverse magnetic field, calculate the transverse magnetic field distribution, and integrate to obtain the leakage magnetic energy W σ,tran,pu,i,j ;

[0027] ⑥ Determine whether j reaches n 2,i If not, then add 1 to j and return to step ⑤ until j = n 2,i Stop iteration when

[0028] ⑦ Determine whether i reaches n1. If not, add 1 to i and return to step ② until i=n1 and stop iterating;

[0029] ⑧To W σ,tran,pu,i,j Add up and get the total transverse magnetic field leakage energy per unit length.

[0030] Furthermore, the calculation of the leakage magnetic energy per unit length of the total longitudinal magnetic field inside and outside the window includes:

[0031] ① The inflection points and zero-crossing points of the magnetomotive force in each longitudinal magnetic field are sorted by value and used as interval nodes, and the longitudinal magnetic field is divided into n1 intervals (d i ,d i+1 )(i=1,…,n1); where (d i ,d i+1 ) is the equivalent Rockwell height h of the longitudinal magnetic field eq(mf) (d i ≤x <d i+1 ) is the window height h w ;

[0032] ②Let i = 1, and let x start =d i , x end =d i+1 ;

[0033] ③In the interval x start ≤x <x end The longitudinal magnetic field is divided into n2 intervals in the y-axis direction according to the superposition situation, and the coordinates of the interval nodes are l i,j (j=1,…,n 2,i );

[0034] ④Let j = 1, and let y start = l i,j ,y end = l i,j+1 ;

[0035] ⑤In x start ≤x <x end ;y start ≤y <y end In the rectangular area, determine the superposition of the longitudinal magnetic field and calculate the leakage magnetic energy W σ,long,pu,i,j ;

[0036] ⑥ Determine whether j reaches n 2,i If not, then add 1 to j and return to step ⑤ until j = n 2,i Stop iteration when

[0037] ⑦ Determine whether i reaches n1. If not, add 1 to i and return to step ② until i=n1 and stop iterating;

[0038] ⑧To W σ,tran,pu,i,j Sum and get the total transverse magnetic field leakage energy per unit length W σ,long,IW .

[0039] In a second aspect, the present invention provides a system for analyzing and calculating the leakage inductance value of a hybrid winding transformer, comprising:

[0040] A magnetic field decomposition module is used to decompose the three-dimensional magnetic field of the hybrid winding transformer into a number of transverse magnetic fields and longitudinal magnetic fields inside and outside the window based on the actual structure of the hybrid winding transformer;

[0041] A leakage magnetic energy calculation module is used to calculate the three-dimensional total leakage magnetic energy of the hybrid winding transformer based on the transverse magnetic field and the longitudinal magnetic field inside and outside the window;

[0042] The leakage inductance calculation module is used to calculate the leakage inductance calculation result of the hybrid winding transformer according to the three-dimensional total leakage magnetic energy of the hybrid winding transformer.

[0043] Furthermore, the magnetic field decomposition module comprises:

[0044] A dual 2D simplification module is used to decompose the 3D magnetic field of the hybrid winding transformer into 2D magnetic fields with multiple layers of hybrid windings inside and outside the window using a dual 2D model;

[0045] A multi-layer to single-layer decomposition module is used to decompose the two-dimensional magnetic field with multi-layer hybrid windings inside and outside the window into a number of two-dimensional magnetic fields with single-layer hybrid windings according to the superposition theorem;

[0046] The two-dimensional magnetic field decomposition module is used to decompose the two-dimensional magnetic field of each single-layer hybrid winding inside and outside the window into several transverse magnetic fields and longitudinal magnetic fields based on the property that the magnetic field energy can be decoupled for analysis, with the window height direction and the window width direction of the hybrid winding transformer as the longitudinal and transverse directions.

[0047] In a third aspect, the present invention provides a computer-readable storage medium storing one or more programs, wherein the one or more programs include instructions, which, when executed by a computing device, cause the computing device to perform any method.

[0048] In a fourth aspect, the present invention provides a computing device comprising: one or more processors, a memory and one or more programs, wherein the one or more programs are stored in the memory and configured to be executed by the one or more processors, and the one or more programs include instructions for executing any method.

[0049] The present invention adopts the above technical solution, which has the following advantages:

[0050] 1. Based on the dual two-dimensional model and superposition theorem, the present invention simplifies the three-dimensional leakage magnetic energy calculation problem of the multi-layer hybrid winding transformer into the two-dimensional magnetic field of the single-layer hybrid winding, and then further decomposes the two-dimensional magnetic field, so that the leakage inductance value calculation method of the present invention has a wide range of applications.

[0051] 2. The present invention decomposes the three-dimensional magnetic leakage energy of the multi-layer hybrid winding transformer and calculates the magnetic leakage energy in each area respectively. Compared with the conventional finite element analysis method or numerical method, the calculation accuracy is higher and the speed is faster.

[0052] Therefore, the present invention can be widely applied to the fields of power electronics and high-frequency transformers. BRIEF DESCRIPTION OF THE DRAWINGS

[0053] Various other advantages and benefits will become apparent to those of ordinary skill in the art by reading the detailed description of the preferred embodiments below. The accompanying drawings are only for the purpose of illustrating the preferred embodiments and are not to be considered as limiting the present invention. Throughout the accompanying drawings, the same reference numerals are used to represent the same components. In the accompanying drawings:

[0054] Figure 1 is a flow chart of an analytical calculation method for a leakage inductance value of a hybrid winding transformer provided by an embodiment of the present invention;

[0055] Figure 2 is a three-dimensional structure of a transformer provided by an embodiment of the present invention;

[0056] Figure 3 It is a schematic diagram of decoupling analysis of a two-dimensional magnetic field of a single-layer hybrid winding transformer provided by an embodiment of the present invention;

[0057] Figure 4 is a schematic diagram of a two-dimensional magnetic field in a window of a multi-layer hybrid winding transformer provided by an embodiment of the present invention;

[0058] Figure 5 It is a schematic diagram of decoupling analysis of a two-dimensional magnetic field of a single-layer hybrid winding transformer provided by an embodiment of the present invention;

[0059] Figure 6 It is the decoupling analysis result of the two-dimensional magnetic field in the window of the multilayer hybrid winding transformer provided by the embodiment of the present invention;

[0060] Figure 7 It is a flow chart for calculating the total magnetic field leakage energy composed of multiple one-dimensional magnetic fields in the same direction provided by an embodiment of the present invention;

[0061] Figure 8is a schematic diagram of the interval division of the transverse magnetic field in the window width direction provided by an embodiment of the present invention;

[0062] Fig. 9 It is a schematic diagram of the interval division of the longitudinal magnetic field in the window height direction provided by an embodiment of the present invention. DETAILED DESCRIPTION

[0063] In order to make the purpose, technical solution and advantages of the embodiment of the present invention clearer, the technical solution of the embodiment of the present invention will be clearly and completely described below in conjunction with the drawings of the embodiment of the present invention. Obviously, the described embodiment is a part of the embodiment of the present invention, not all of the embodiments. Based on the described embodiment of the present invention, all other embodiments obtained by ordinary technicians in this field belong to the scope of protection of the present invention.

[0064] It should be noted that the terms used herein are only for describing specific embodiments and are not intended to limit the exemplary embodiments according to the present application. As used herein, unless the context clearly indicates otherwise, the singular form is also intended to include the plural form. In addition, it should be understood that when the terms "comprise" and / or "include" are used in this specification, it indicates the presence of features, steps, operations, devices, components and / or combinations thereof.

[0065] In some embodiments of the present invention, a method for analyzing and calculating the leakage inductance value of a hybrid winding transformer is provided, comprising: first, according to the actual structure of the hybrid winding transformer, simplifying the three-dimensional leakage magnetic energy calculation model of the hybrid winding transformer into a dual two-dimensional model, that is, the total leakage magnetic energy of the hybrid winding transformer is equivalent to the weighted sum of the leakage magnetic energy inside the window and the leakage magnetic energy outside the window, and the weight is related to the length of the winding inside and outside the window; then, after completing the leakage magnetic energy calculation inside and outside the window respectively, the three-dimensional total leakage magnetic energy of the hybrid winding transformer is obtained after weighted calculation according to the winding length, and the leakage inductance calculation result of the hybrid winding transformer is further calculated.

[0066] Correspondingly, in some other embodiments of the present invention, a system, device and storage medium for analyzing and calculating the leakage inductance value of a hybrid winding transformer are provided.

[0067] Example 1

[0068] like Figure 1 As shown, this embodiment provides an analytical calculation method for the leakage inductance value of a hybrid winding transformer, comprising the following steps:

[0069] S1. Based on the actual structure of the hybrid winding transformer, the three-dimensional magnetic field of the hybrid winding transformer is decomposed into several transverse magnetic fields and longitudinal magnetic fields inside and outside the window;

[0070] S2. Based on the transverse magnetic fields and longitudinal magnetic fields inside and outside the window, the three-dimensional total leakage magnetic energy of the hybrid winding transformer is calculated;

[0071] S3. According to the three-dimensional total leakage magnetic energy of the hybrid winding transformer, the leakage inductance calculation result of the hybrid winding transformer is calculated.

[0072] Preferably, the above step S1, such as Figure 2 As shown, it is a three-dimensional structure diagram of a hybrid winding transformer, and its leakage inductance value can be obtained by calculating the leakage magnetic energy in the air and winding areas. In this embodiment, a dual two-dimensional model is used to simplify the three-dimensional leakage magnetic energy calculation problem, including:

[0073] S1.1. Decomposing the three-dimensional magnetic field of the hybrid winding transformer into two-dimensional magnetic fields with multiple layers of hybrid windings inside and outside the window by using a dual two-dimensional model;

[0074] S1.2. According to the superposition theorem, the two-dimensional magnetic field with multiple layers of hybrid windings inside and outside the window is decomposed into several two-dimensional magnetic fields with single layers of hybrid windings;

[0075] S1.3. Taking the window height direction and window width direction of the hybrid winding transformer as the longitudinal and transverse directions, according to the property that the magnetic field energy can be decoupled for analysis, the two-dimensional magnetic field of each single-layer hybrid winding inside and outside the window is decomposed into several transverse magnetic fields and longitudinal magnetic fields.

[0076] Specifically, Figure 3 to Figure 6 As shown, based on the superposition theorem and the properties of decoupling analysis of magnetic field energy, the two-dimensional magnetic field in the window is decomposed into:

[0077] like Figure 3 As shown, for a single-layer hybrid winding transformer, the three-dimensional magnetic field of the single-layer hybrid winding transformer is simplified into a double two-dimensional magnetic field using a double two-dimensional model, and then the double two-dimensional magnetic field is decoupled and analyzed to obtain the longitudinal magnetic field A1 and two transverse magnetic fields B1 and C1.

[0078] like Figures 4 to 6 As shown in the figure, for a multi-layer hybrid winding transformer, it is assumed that the transformer has three layers of windings in the direction of the window width, the innermost layer is the primary winding, and the rest are hybrid windings consisting of the primary and secondary windings. First, the three-dimensional magnetic field of the multi-layer hybrid winding transformer is simplified into a double two-dimensional magnetic field with multi-layer hybrid windings using a double two-dimensional model; then, the two-dimensional magnetic field M with multi-layer hybrid windings is decomposed into two two-dimensional magnetic fields M1 and M2 with single-layer hybrid windings ( Figure 4 ); then, due to the magnetomotive force of the innermost winding, two situations may occur - positive or negative ( Figure 5 ); This embodiment is introduced by taking the innermost winding magnetomotive force as an example, assuming that -N22 I2-N 12 I1≥0, -N 23 I2-N 13 I1≥0, the two-dimensional magnetic field in the window can be decomposed into six magnetic fields, including two longitudinal magnetic fields A1 and A2 and four transverse magnetic fields B1, B2, C1, and C2; among them, N 12 、N 13 Respectively represent the number of primary winding turns in the second and third layers of the hybrid winding transformer, N 22 、N 23 Respectively represent the secondary winding turns in the second and third layers of the hybrid winding transformer, I1 and I2 represent the primary and secondary winding currents, respectively. Figure 6 ).

[0079] Preferably, the above step S2 comprises the following steps:

[0080] S21, based on each transverse magnetic field and longitudinal magnetic field in the window, calculating the total transverse magnetic field obtained by superimposing all the transverse magnetic fields in the window and the total longitudinal magnetic field obtained by superimposing all the longitudinal magnetic fields per unit length;

[0081] S22, based on each transverse magnetic field and longitudinal magnetic field outside the window, calculating the leakage magnetic energy per unit length of the total transverse magnetic field obtained by superimposing all the transverse magnetic fields outside the window and the total longitudinal magnetic field obtained by superimposing all the longitudinal magnetic fields;

[0082] S23. Based on the obtained total transverse magnetic field and total longitudinal magnetic field leakage energy per unit length inside and outside the window, weighted calculation is performed according to the winding length to obtain the three-dimensional total leakage magnetic energy of the hybrid winding transformer.

[0083] Preferably, in the above step S21, the two-dimensional magnetic field analysis in the window is taken as an example for introduction, and includes the following steps:

[0084] S211. First, in order to consider the reduction of the magnetomotive force in the space outside the winding due to the winding height being smaller than the window, the Rockwell equivalent height is introduced to perform the equivalence of each transverse magnetic field and longitudinal magnetic field;

[0085] S212. Based on the magnetomotive force of each equivalent transverse magnetic field and longitudinal magnetic field, the leakage magnetic energy per unit length of the total transverse magnetic field obtained by superimposing all transverse magnetic fields inside and outside the window and the total longitudinal magnetic field obtained by superimposing all longitudinal magnetic fields are calculated respectively.

[0086] Preferably, the above step S212 includes the following steps:

[0087] like Figure 7As shown, assuming that the window height direction is y and the window width direction is x, the calculation process of the leakage magnetic energy of the total transverse magnetic field per unit length includes the following steps:

[0088] ① The inflection points and zero-crossing points of the magnetomotive force in each transverse magnetic field B1, C1, B2, and C2 are sorted by value and used as interval nodes, and the transverse magnetic field is divided into n1 intervals (l i ,l i+1 )(i=1,…,n1); where l i is the interval node coordinate, and the division result is as follows Figure 8 As shown;

[0089] ②Let i = 1, and let y start = l i ,y end = l i+1 ;

[0090] ③In the interval y start ≤y <y end The transverse magnetic field is divided into n2 intervals in the x-axis direction according to the superposition situation, and the coordinates of the interval nodes are d i,j (j=1,…,n 2,i );

[0091] ④Let j = 1, and let x start =d i,j , x end =d i,j+1 ;

[0092] ⑤In x start ≤x <x end ;y start ≤y <y end In the rectangular area, determine the superposition of the transverse magnetic field, calculate the transverse magnetic field distribution, and integrate to obtain the leakage magnetic energy W σ,tran,pu,i,j ;

[0093] Among them, when l i ≤y <l i+1 And d i,j ≤x <d i,j+1 When , the transverse magnetic field intensity is evenly distributed in the x-axis direction and linearly distributed in the y-axis direction. i ≤y <l i+1 ,d i,j ≤x <d i,j+1 The transverse magnetic leakage energy per unit length in the} can be calculated as follows:

[0094]

[0095] Among them, H start(i,j) , H end(i,j)Respectively represent x=d i,j ,x=d i,j+1 The total transverse magnetic field strength at .

[0096] ⑥ Determine whether j reaches n 2,i If not, then add 1 to j and return to step ⑤ until j = n 2,i Stop iteration when

[0097] ⑦ Determine whether i reaches n1. If not, add 1 to i and return to step ② until i=n1 and stop iterating;

[0098] ⑧To W σ,tran,pu,i,j Sum the total transverse magnetic field leakage energy per unit length and calculate it as:

[0099]

[0100] Similarly, the calculation process of the total longitudinal magnetic field leakage magnetic energy per unit length is:

[0101] ① The inflection points and zero-crossing points of the magnetomotive force in the longitudinal magnetic fields A1 and A2 are sorted by value and used as interval nodes, and the longitudinal magnetic field is divided into n1 intervals (d i ,d i+1 )(i=1,…,n1); where (d i ,d i+1 ) is the equivalent Rockwell height h of the longitudinal magnetic field eq(mf) (d i ≤x <d i+1 ) is the window height h w , the division results are as follows Fig. 9 As shown;

[0102] ②Let i = 1, and let x start =d i , x end =d i+1 ;

[0103] ③In the interval x start ≤x <x end The longitudinal magnetic field is divided into n2 intervals in the y-axis direction according to the superposition situation, and the coordinates of the interval nodes are l i,j (j=1,…,n 2,i );

[0104] ④Let j = 1, and let y start = l i,j ,y end = l i,j+1 ;

[0105] ⑤In x start ≤x <x end ;ystart ≤y <y end In the rectangular area, determine the superposition of the longitudinal magnetic field and calculate the leakage magnetic energy W σ,long,pu,i,j ;

[0106] The variable longitudinal magnetic field intensity is defined as being uniformly distributed in the y-axis direction and linearly distributed in the x-axis direction. i ≤x <d i+1 ,l i,j ≤y <l i,j+1 The longitudinal magnetic leakage energy per unit length of} is as follows:

[0107]

[0108] In the formula, H start(i,j) , H end(i,j) Respectively represent y = l i,j ,y=l i,j+1 The total longitudinal magnetic field strength at ;

[0109] ⑥ Determine whether j reaches n 2,i If not, then add 1 to j and return to step ⑤ until j = n 2,i Stop iteration when

[0110] ⑦ Determine whether i reaches n1. If not, add 1 to i and return to step ② until i=n1 and stop iterating;

[0111] ⑧To W σ,tran,pu,i,j Sum the total transverse magnetic field leakage energy per unit length and calculate it as:

[0112]

[0113] Preferably, in the above step S22, the calculation method for the leakage magnetic energy of the plane outside the window is the same as that of the plane inside the window, and only the Rockwell equivalent height and the Rockwell equivalent width need to be adjusted to obtain the leakage magnetic energy W of the total longitudinal magnetic field outside the window per unit length. σ,long,OW , the leakage magnetic energy per unit length of the total transverse magnetic field outside the window W σ,tran,OW .

[0114] Preferably, the above step S23 includes the following steps:

[0115] S31, determining the weights of the total transverse magnetic field in the window, the total longitudinal magnetic field in the window, the total transverse magnetic field outside the window, and the total longitudinal magnetic field outside the window according to the winding length;

[0116] S232, the determined weights are compared with the leakage magnetic energy W per unit length of the total longitudinal magnetic field in the window. σ,long,IW , the total transverse magnetic field leakage energy per unit length in the window W σ,tran,IW, the leakage magnetic energy per unit length of the total longitudinal magnetic field outside the window W σ,long,OW , and the leakage magnetic energy per unit length of the total transverse magnetic field outside the window W σ,tran,OW Corresponding weighted calculation, the three-dimensional total leakage magnetic energy W of the hybrid winding transformer is obtained σ ;

[0117] Preferably, in the above step S3, the leakage inductance value L of the hybrid winding transformer is σ For: L σ =2W σ / I1 2 .

[0118] Example 2

[0119] The above-mentioned embodiment 1 provides an analytical calculation method for the leakage inductance value of a hybrid winding high-frequency transformer. Correspondingly, this embodiment provides an analytical calculation system for the leakage inductance value of a hybrid winding transformer. The system provided in this embodiment can implement the analytical calculation method for the leakage inductance value of the hybrid winding high-frequency transformer of embodiment 1, and the system can be implemented by software, hardware, or a combination of software and hardware. For example, the system may include integrated or separate functional modules or functional units to perform the corresponding steps in each method of embodiment 1. Since the system of this embodiment is basically similar to the method embodiment, the process described in this embodiment is relatively simple, and the relevant parts can refer to the partial description of embodiment 1. The embodiment of the system provided in this embodiment is only illustrative.

[0120] The analytical calculation system for the leakage inductance value of the hybrid winding transformer provided in this embodiment includes:

[0121] A magnetic field decomposition module is used to decompose the three-dimensional magnetic field of the hybrid winding transformer into a number of transverse magnetic fields and longitudinal magnetic fields inside and outside the window based on the actual structure of the hybrid winding transformer;

[0122] A leakage magnetic energy calculation module is used to calculate the three-dimensional total leakage magnetic energy of the hybrid winding transformer based on the transverse magnetic field and the longitudinal magnetic field inside and outside the window;

[0123] The leakage inductance calculation module is used to calculate the leakage inductance calculation result of the hybrid winding transformer according to the three-dimensional total leakage magnetic energy of the hybrid winding transformer.

[0124] Preferably, the magnetic field decomposition module comprises:

[0125] A dual 2D simplification module is used to decompose the 3D magnetic field of the hybrid winding transformer into 2D magnetic fields with multiple layers of hybrid windings inside and outside the window using a dual 2D model;

[0126] A multi-layer to single-layer decomposition module is used to decompose the two-dimensional magnetic field with multi-layer hybrid windings inside and outside the window into a number of two-dimensional magnetic fields with single-layer hybrid windings according to the superposition theorem;

[0127] The two-dimensional magnetic field decomposition module is used to decompose the two-dimensional magnetic field of each single-layer hybrid winding inside and outside the window into several transverse magnetic fields and longitudinal magnetic fields based on the property that the magnetic field energy can be decoupled for analysis, with the window height direction and the window width direction of the hybrid winding transformer as the longitudinal and transverse directions.

[0128] Example 3

[0129] This embodiment provides a processing device corresponding to the analytical calculation method for the leakage inductance value of the hybrid winding transformer provided in this embodiment 1. The processing device can be a processing device for a client, such as a mobile phone, a laptop computer, a tablet computer, a desktop computer, etc., to execute the method of embodiment 1.

[0130] The processing device includes a processor, a memory, a communication interface and a bus, and the processor, the memory and the communication interface are connected through the bus to complete mutual communication. The memory stores a computer program that can be run on the processor, and the processor executes the analytical calculation method for the leakage inductance value of the hybrid winding transformer provided in this embodiment 1 when running the computer program.

[0131] In some embodiments, the memory may be a high-speed random access memory (RAM), and may also include a non-volatile memory, such as at least one disk memory.

[0132] In other embodiments, the processor may be a central processing unit (CPU), a digital signal processor (DSP), or other general-purpose processors of various types, which are not limited herein.

[0133] Example 4

[0134] The analytical calculation method for the leakage inductance value of the hybrid winding transformer of this embodiment 1 can be specifically implemented as a computer program product, which may include a computer-readable storage medium carrying computer-readable program instructions for executing the analytical calculation method for the leakage inductance value of the hybrid winding transformer described in this embodiment 1.

[0135] Computer readable storage media can be tangible devices that hold and store instructions used by instruction execution devices. Computer readable storage media can be, for example, but not limited to, electronic storage devices, magnetic storage devices, optical storage devices, electromagnetic storage devices, semiconductor storage devices, or any combination thereof.

[0136] Those skilled in the art will appreciate that the embodiments of the present application may be provided as methods, systems, or computer program products. Therefore, the present application may adopt the form of a complete hardware embodiment, a complete software embodiment, or an embodiment in combination with software and hardware. Moreover, the present application may adopt the form of a computer program product implemented in one or more computer-usable storage media (including but not limited to disk storage, CD-ROM, optical storage, etc.) that include computer-usable program code.

[0137] 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.

[0138] 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.

[0139] 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.

[0140] Finally, 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 above embodiments, ordinary technicians in the relevant field should understand that the specific implementation methods of the present invention can still be modified or replaced by equivalents. Any modification or equivalent replacement that does not depart from the spirit and scope of the present invention should be covered within the scope of protection of the claims of the present invention.

Claims

1. An analytical calculation method for the leakage inductance value of a hybrid winding transformer, characterized in that: The following steps are involved: Based on the actual structure of the hybrid winding transformer, the three-dimensional magnetic field of the hybrid winding transformer is decomposed into several transverse magnetic fields and longitudinal magnetic fields inside and outside the window; Based on the transverse magnetic fields and longitudinal magnetic fields inside and outside the window, the three-dimensional total leakage magnetic energy of the hybrid winding transformer is calculated; According to the three-dimensional total leakage magnetic energy of the hybrid winding transformer, the leakage inductance calculation result of the hybrid winding transformer is calculated; The method is based on the actual structure of the hybrid winding transformer and decomposes the three-dimensional magnetic field of the hybrid winding transformer into a plurality of transverse magnetic fields and a longitudinal magnetic field inside and outside the window, including: using a dual two-dimensional model to decompose the three-dimensional magnetic field of the hybrid winding transformer into a two-dimensional magnetic field with multiple layers of hybrid windings inside and outside the window; according to the superposition theorem, respectively decomposing the two-dimensional magnetic field with multiple layers of hybrid windings inside and outside the window into a plurality of two-dimensional magnetic fields with single-layer hybrid windings; taking the window height direction and the window width direction of the hybrid winding transformer as the longitudinal direction and the transverse direction, and according to the property that the magnetic field energy can be decoupled for analysis, decomposing the two-dimensional magnetic field of each single-layer hybrid winding inside and outside the window into a plurality of transverse magnetic fields and a longitudinal magnetic field; The method of calculating the three-dimensional total magnetic leakage energy of the hybrid winding transformer based on the transverse magnetic fields and the longitudinal magnetic fields inside and outside the window includes: calculating the total magnetic leakage energy per unit length of the total transverse magnetic field obtained by superimposing all the transverse magnetic fields inside and outside the window and the total longitudinal magnetic field obtained by superimposing all the longitudinal magnetic fields based on the transverse magnetic fields and the longitudinal magnetic fields inside and outside the window; and performing weighted calculation according to the winding length based on the obtained total transverse magnetic field inside and outside the window and the total longitudinal magnetic field leakage energy per unit length to obtain the three-dimensional total magnetic leakage energy of the hybrid winding transformer; The method calculates the leakage magnetic energy per unit length of the total transverse magnetic field obtained by superimposing all transverse magnetic fields inside and outside the window and the total longitudinal magnetic field obtained by superimposing all longitudinal magnetic fields based on the transverse magnetic fields and the longitudinal magnetic fields within the window, including: using Rockwell equivalent height to perform equivalence on the transverse magnetic field and the longitudinal magnetic field; and based on the magnetomotive force of each transverse magnetic field and the longitudinal magnetic field after equivalence, respectively calculates the leakage magnetic energy per unit length of the transverse magnetic field and the longitudinal magnetic field inside and outside the window; The total transverse magnetic field leakage energy per unit length in the calculation window includes: ①Assume that the window height direction is y , the window width direction is x The inflection points and zero-crossing points of the magnetomotive force in each transverse magnetic field are sorted by value and used as interval nodes, and the transverse magnetic field is divided into n 1 interval ( l i , l i+1 ), i =1,…, n 1; among them, l i are the interval node coordinates; ② Let i = 1, and let y start = l i , y end = l i+1 ; ③ In the interval y start ≤ y < y end In the x-axis direction, the transverse magnetic field is divided into n 2 intervals, the coordinates of the interval nodes are d i,j , j =1,…, n 2,i ; ④ Let j = 1, and let x start = d i,j , x end = d i,j+1 ; ⑤ In x start ≤ x < x end ; y start ≤ y < y end In the rectangular area, determine the superposition of the transverse magnetic field, calculate the transverse magnetic field distribution, and integrate to obtain the leakage magnetic energy W σ,tran,pu,i,j ; ⑥Judge whether j reaches n 2,i If not, then add 1 to j and return to step ⑤ until j= n 2,i Stop iteration when ⑦Judge whether i has reached n 1, if not, then add 1 to i and return to step ② until i= n Stop iteration at 1; ⑧To W σ,tran,pu,i,j Add up and get the total transverse magnetic field leakage energy per unit length.

2. The analytical calculation method for leakage inductance of a hybrid winding transformer according to claim 1, characterized in that: The leakage magnetic energy per unit length of the total longitudinal magnetic field inside and outside the calculation window includes: ① Sort the inflection points and zero-crossing points of the magnetomotive force in each longitudinal magnetic field by value and use them as interval nodes, dividing the longitudinal magnetic field in the y-axis direction into n 1 interval ( d i , d i+1 ), i =1,…, n 1; among which, ( d i , d i+1 ) is the equivalent Rockwell height of the longitudinal magnetic field h eq(mf) , d i ≤ x <d i+1 , is the window height h w ; ② Let i = 1, and let x start = d i , x end = d i+1 ; ③ In the interval x start ≤ x < x end In the y-axis direction, the longitudinal magnetic field is divided into n 2 intervals, the coordinates of the interval nodes are l i,j , j =1,…, n 2,i ; ④ Order j =1, and let y start = l i,j , y end = l i,j+1 ; ⑤ In x start ≤ x < x end ; y start ≤ y < y end In the rectangular area, determine the superposition of the longitudinal magnetic field and calculate the leakage magnetic energy W σ,long,pu,i,j ; ⑥Judge whether j reaches n 2,i If not, then add 1 to j and return to step ⑤ until j= n 2,i Stop iteration when ⑦Judge whether i has reached n 1, if not, then add 1 to i and return to step ② until i= n Stop iteration at 1; ⑧Sum Wσ,long,pu,i,j to get the total transverse magnetic field leakage energy per unit length Wσ,long,IW .

3. An analytical calculation system for leakage inductance of a hybrid winding transformer, characterized in that: include: A magnetic field decomposition module is used to decompose the three-dimensional magnetic field of the hybrid winding transformer into a number of transverse magnetic fields and longitudinal magnetic fields inside and outside the window based on the actual structure of the hybrid winding transformer; A leakage magnetic energy calculation module is used to calculate the three-dimensional total leakage magnetic energy of the hybrid winding transformer based on the transverse magnetic field and the longitudinal magnetic field inside and outside the window; A leakage inductance calculation module, used to calculate the leakage inductance calculation result of the hybrid winding transformer according to the three-dimensional total leakage magnetic energy of the hybrid winding transformer; The magnetic field decomposition module comprises: A dual 2D simplification module is used to decompose the 3D magnetic field of the hybrid winding transformer into 2D magnetic fields with multiple layers of hybrid windings inside and outside the window using a dual 2D model; A multi-layer to single-layer decomposition module is used to decompose the two-dimensional magnetic field with multi-layer hybrid windings inside and outside the window into a number of two-dimensional magnetic fields with single-layer hybrid windings according to the superposition theorem; A two-dimensional magnetic field decomposition module is used to decompose the two-dimensional magnetic field of each single-layer hybrid winding inside and outside the window into several transverse magnetic fields and longitudinal magnetic fields based on the property that the magnetic field energy can be decoupled for analysis, with the window height direction and the window width direction of the hybrid winding transformer as the longitudinal direction and the transverse direction; In the leakage magnetic energy calculation module, when calculating the three-dimensional total leakage magnetic energy of the hybrid winding transformer based on the transverse magnetic fields and the longitudinal magnetic fields inside and outside the window, it includes: Based on the transverse magnetic fields and longitudinal magnetic fields inside and outside the window, the total transverse magnetic field obtained by superimposing all the transverse magnetic fields inside and outside the window and the total longitudinal magnetic field leakage energy per unit length obtained by superimposing all the longitudinal magnetic fields are calculated; based on the obtained total transverse magnetic fields inside and outside the window and the total longitudinal magnetic field leakage energy per unit length, a weighted calculation is performed according to the winding length to obtain the three-dimensional total leakage magnetic energy of the hybrid winding transformer; The method calculates the total transverse magnetic field obtained by superimposing all transverse magnetic fields inside and outside the window and the total longitudinal magnetic field obtained by superimposing all longitudinal magnetic fields based on the transverse magnetic fields and the longitudinal magnetic fields inside and outside the window, and obtains the magnetic flux leakage energy per unit length, including: performing equivalence on each transverse magnetic field and the longitudinal magnetic field using Rockwell equivalent height; and calculating the magnetic flux leakage energy per unit length of the transverse magnetic field and the longitudinal magnetic field inside and outside the window respectively based on the magnetomotive force of each transverse magnetic field and the longitudinal magnetic field after equivalence; Calculate the leakage magnetic energy per unit length of the total transverse magnetic field inside and outside the window, including: ①Assume that the window height direction is y , the window width direction is x The inflection points and zero-crossing points of the magnetomotive force in each transverse magnetic field are sorted by value and used as interval nodes, and the transverse magnetic field is divided into n 1 interval ( l i , l i+1 ), i =1,…, n 1; among them, l i are the interval node coordinates; ② Let i = 1, and let y start = l i , y end = l i+1 ; ③ In the interval y start ≤ y < y end In the x-axis direction, the transverse magnetic field is divided into n 2 intervals, the coordinates of the interval nodes are d i,j , j =1,…, n 2,i ; ④ Let j = 1, and let x start = d i,j , x end = d i,j+1 ; ⑤ In x start ≤ x < x end ; y start ≤ y < y end In the rectangular area, determine the superposition of the transverse magnetic field, calculate the transverse magnetic field distribution, and integrate to obtain the leakage magnetic energy W σ,long,pu,i,j ; ⑥Judge whether j reaches n 2,i If not, then add 1 to j and return to step ⑤ until j= n 2,i Stop iteration when ⑦Judge whether i has reached n 1, if not, then add 1 to i and return to step ② until i= n Stop iteration at 1; ⑧Sum Wσ,long,pu,i,j to obtain the total transverse magnetic field leakage energy per unit length.

4. A computer-readable storage medium storing one or more programs, characterized in that: The one or more programs include instructions, which, when executed by a computing device, cause the computing device to perform any one of the methods of claims 1 to 2.

5. A computing device, characterized in that: include: One or more processors, a memory, and one or more programs, wherein the one or more programs are stored in the memory and configured to be executed by the one or more processors, and the one or more programs include instructions for executing any one of the methods described in claims 1 to 2.

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