Volume Determination Method, Device, Computer Equipment and Storage Medium of Coupled Inductor

Abstract

The present application relates to a method, apparatus, computer device, and storage medium for determining the volume of a coupled inductor. The method for determining the volume of the coupled inductor includes: generating initial dimension parameters for the coupled inductor; determining the fitness value of the initial dimension parameters according to the reference volume corresponding to the initial dimension parameters; screening target dimension parameters from the initial dimension parameters according to the fitness value of the initial dimension parameters and the efficiency limit value of the converter; determining the minimum volume that satisfies the efficiency limit value of the converter corresponding to the coupled inductor. The present application performs multi-round cyclic iterative analysis on the initial dimension parameters of the coupled inductor to screen the target dimension parameters from the initial dimension parameters, so as to obtain the minimum volume for the coupled inductor when the efficiency limit value of the converter corresponding to the coupled inductor is determined, thereby effectively improving the power density of the converter and obtaining the optimal trade-off result between the volume of the coupled inductor and the efficiency of the converter.

Description

Technical Field

[0001] The present application relates to the technical field of switching power supplies, and particularly to a method, device, computer device, and storage medium for determining the volume of a coupled inductor. Background Art

[0002] With the increasingly serious environmental problems and the increasingly shortage of fossil energy, a sustainable and clean electrified transportation mode has become a hot topic of research. Therefore, electric vehicles have been more and more widely used. Fuel cells are becoming the main power source of electric vehicles due to their advantages such as high efficiency and no pollution. As an outstanding solution for high-power DC-DC converters (devices that convert a DC input voltage (or current) into another level of DC output voltage (or current)), interleaved parallel Boost converters are widely used in the DC-DC converters of on-vehicle power supplies due to their advantages such as small current stress, simple structure, and high efficiency.

[0003] In order to improve the efficiency and power density of the converter, two-phase coupled inductors have been widely used in interleaved parallel Boost converters. However, with the increasing requirements for power and volume in the industry, the two-phase coupled inductors cannot meet the requirements in terms of power density. Therefore, how to effectively reduce the volume of the coupled inductor while meeting the efficiency limit value of the coupled inductor has become an urgent problem to be solved. Summary of the Invention

[0004] Based on this, in view of the above technical problems, it is necessary to provide a method, device, computer device, and storage medium for determining the volume of a coupled inductor that can effectively reduce the volume of the coupled inductor while meeting the efficiency limit value of the coupled inductor.

[0005] In a first aspect, the present application provides a method for determining the volume of a coupled inductor, including:

[0006] Generating initial size parameters for the coupled inductor;

[0007] Performing fitness analysis on the initial size parameters according to the reference volume corresponding to the initial size parameters to obtain the fitness value of the initial size parameters; wherein, the fitness value has a negative correlation with the reference volume corresponding to the initial size parameters;

[0008] Screening target size parameters from the initial size parameters according to the fitness value of the initial size parameters and the efficiency limit value of the converter corresponding to the coupled inductor; wherein, the efficiency limit value is the efficiency of the converter corresponding to the coupled inductor at the rated power preset in advance;

[0009] Taking the reference volume corresponding to the target size parameters as the minimum volume that meets the efficiency limit value of the converter corresponding to the coupled inductor;

[0010] Among them, the calculation formulas for the reference volume corresponding to the initial size parameters and the reference volume corresponding to the target size parameters are as follows:

[0011]

[0012] Among them, V L refers to the reference volume corresponding to the initial size parameters or the reference volume corresponding to the target size parameters; r0 is the core width corresponding to the initial size parameters or the core width corresponding to the target size parameters, r1 is the side post length corresponding to the initial size parameters or the side post length corresponding to the target size parameters, r2 is the middle post length corresponding to the initial size parameters or the middle post length corresponding to the target size parameters, the width of the flat copper wire is d w , and the height is h w , the spacing of the windings is d0, N w is the number of winding turns corresponding to the initial size parameters or the number of winding turns corresponding to the target size parameters; N is the number of phases of the converter corresponding to the coupled inductor.

[0013] Preferably, according to the fitness value of the initial size parameters and the efficiency limit value of the converter corresponding to the coupled inductor, the target size parameters are screened from the initial size parameters, including: taking the initial size parameter with the largest fitness value as the candidate size parameter; verifying whether the candidate size parameter meets the loop termination condition according to the efficiency limit value of the converter corresponding to the coupled inductor; if the candidate size parameter meets the loop termination condition, taking the candidate size parameter as the target size parameter.

[0014] Preferably, verifying whether the candidate size parameter meets the loop termination condition according to the efficiency limit value of the converter corresponding to the coupled inductor includes: determining the penalty value corresponding to the candidate size parameter according to the efficiency limit value of the converter corresponding to the coupled inductor; where the penalty value is used to characterize the degree to which the candidate size parameter violates the constraint conditions; the constraint conditions include inequality constraints and equality constraints; if the penalty value is greater than or equal to the penalty threshold, it is determined that the candidate size parameter does not meet the loop termination condition; if the penalty value is less than the penalty threshold, it is determined that the candidate size parameter meets the loop termination condition;

[0015] Among them, the penalty value corresponding to the candidate size parameter can be determined by a penalty function, and the penalty function is as follows:

[0016]

[0017] Among them, is the penalty value; μ refers to the penalty factor, μ>0; c i (x) corresponding inequality constraint; c j (x) corresponding equality constraint.

[0018] Preferably, according to the efficiency limit value of the converter corresponding to the coupled inductor, determine the penalty value corresponding to the candidate size parameter, including: constructing inequality constraints and equality constraints for the coupled inductor according to the efficiency limit value of the converter corresponding to the coupled inductor; wherein, the inequality constraint is used to represent the inequality constraint condition for the value range of the size parameter of the coupled inductor; the equality constraint is used to represent the equality constraint condition for the efficiency limit value of the converter; determine the penalty value corresponding to the candidate size parameter according to the preset penalty factor, inequality constraint and equality constraint;

[0019] Among them, the inequality constraint and the equality constraint are as follows:

[0020] ;

[0021] Among them, c i (x) corresponding inequality constraint; c j (x) corresponding equality constraint; η min refers to the efficiency limit value of the converter corresponding to the coupled inductor; N w is the number of turns of the winding corresponding to the initial size parameter or the number of turns of the winding corresponding to the target size parameter; m is the proportionality coefficient; f s refers to the operating frequency; B max refers to the maximum magnetic flux density; r2 is the side length of the middle column corresponding to the initial size parameter or the side length of the middle column corresponding to the target size parameter; B(x) is the magnetic flux density; η(x) is the converter efficiency; Δi in_max is the maximum input current ripple; Δi in (x) is the input current ripple.

[0022] Preferably, the volume determination method further includes: if the candidate size parameter does not meet the loop termination condition, perform crossover mutation on the size parameter to obtain a new initial size parameter, and enter the next loop; according to the new initial size parameter, return to execute the step of performing fitness analysis on the initial size parameter according to the reference volume corresponding to the initial size parameter to obtain the fitness value of the initial size parameter, until the candidate size parameter meets the loop termination condition.

[0023] Preferably, the volume determination method includes: updating the penalty factor according to the reduction factor to obtain a new penalty factor.

[0024] In a second aspect, the present application further provides a device for determining the volume of a coupled inductor, including:

[0025] A generation module, configured to generate an initial size parameter for the coupled inductor;

[0026] An analysis module, configured to perform fitness analysis on the initial size parameter according to the reference volume corresponding to the initial size parameter to obtain the fitness value of the initial size parameter;

[0027] A screening module, configured to screen target dimension parameters from the initial dimension parameters according to the fitness value of the initial dimension parameters and the efficiency limit value of the coupled inductor corresponding converter;

[0028] A determination module, configured to use the reference volume corresponding to the target dimension parameters as the minimum volume that meets the efficiency limit value of the coupled inductor corresponding converter;

[0029] Wherein, the calculation formulas for the reference volume corresponding to the initial dimension parameters and the reference volume corresponding to the target dimension parameters are as follows:

[0030]

[0031] Wherein, V L refers to the reference volume corresponding to the initial dimension parameters or the reference volume corresponding to the target dimension parameters; r0 is the core width corresponding to the initial dimension parameters or the core width corresponding to the target dimension parameters, r1 is the side post side length corresponding to the initial dimension parameters or the side post side length corresponding to the target dimension parameters, r2 is the middle post side length corresponding to the initial dimension parameters or the middle post side length corresponding to the target dimension parameters, the width of the flat copper wire is d w , the height is h w , the spacing of the windings is d0, N w is the number of winding turns corresponding to the initial dimension parameters or the number of winding turns corresponding to the target dimension parameters; N is the number of phases of the converter corresponding to the coupled inductor.

[0032] In a third aspect, the present application further provides a computer device. The computer device includes a memory and a processor. The memory stores a computer program, and when the processor executes the computer program, the above steps are implemented.

[0033] In a fourth aspect, the present application further provides a computer-readable storage medium. A computer program is stored on the computer-readable storage medium, and when the computer program is executed by a processor, the above steps are implemented.

[0034] In a fifth aspect, the present application further provides a computer program product. The computer program product includes a computer program, and when the computer program is executed by a processor, the above steps are implemented.

[0035] The method, device, computer equipment and storage medium for determining the volume of a coupled inductor provided by this application obtain the fitness value of the initial size parameters by performing fitness analysis on the initial size parameters of the coupled inductor; and screen the target size parameters from the initial size parameters according to the fitness value of the initial size parameters and the efficiency limit value of the converter corresponding to the coupled inductor; furthermore, take the reference volume corresponding to the target size parameters as the minimum volume that meets the efficiency limit value of the converter corresponding to the coupled inductor. According to the above content, it can be known that in the process of determining the target size parameters in this application, multiple rounds of cyclic iterative analysis will be performed on the initial size parameters of the coupled inductor according to the fitness value of the initial size parameters and the efficiency limit value of the converter corresponding to the coupled inductor, so as to realize screening the target size parameters from the initial size parameters, so as to obtain the minimum volume of the coupled inductor under the condition of determining the efficiency limit value of the converter corresponding to the coupled inductor, thereby effectively improving the power density of the converter and obtaining the optimal trade-off result between the volume of the coupled inductor and the efficiency of the converter. Description of the Drawings

[0036] Figure 1 It is a schematic structural diagram of a multi-phase interleaved parallel Boost converter topology provided by an embodiment of this application;

[0037] Figure 2 It is a schematic structural diagram of a multi-phase stepped coupled inductor structure provided by an embodiment of this application;

[0038] Figure 3 It is an application environment diagram of a method for determining the volume of a coupled inductor provided by an embodiment of this application;

[0039] Figure 4 It is a schematic flowchart of the first method for determining the volume of a coupled inductor provided by an embodiment of this application;

[0040] Figure 5 It is a schematic diagram of the dimensions of the first multi-phase stepped coupled inductor provided by an embodiment of this application;

[0041] Figure 6 It is a schematic diagram of the dimensions of the second multi-phase stepped coupled inductor provided by an embodiment of this application;

[0042] Figure 7 It is a schematic flowchart of the second method for determining the volume of a coupled inductor provided by an embodiment of this application;

[0043] Figure 8 It is a schematic flowchart of the third method for determining the volume of a coupled inductor provided by an embodiment of this application;

[0044] Figure 9 It is a schematic flowchart of the fourth method for determining the volume of a coupled inductor provided by an embodiment of this application;

[0045] Figure 10 It is a schematic structural diagram of the magnetoresistance model for DC magnetic flux analysis provided by the embodiment of the present application;

[0046] Figure 11 It is a schematic structural diagram of the magnetoresistance model for AC magnetic flux analysis provided by the embodiment of the present application;

[0047] Figure 12 It is a structural block diagram of a device for determining the volume of a coupled inductor provided by the embodiment of the present application;

[0048] Figure 13 It is an internal structure diagram of a computer device in an embodiment. Specific embodiments

[0049] In order to make the purpose, technical solutions and advantages of the present application clearer, the present application will be further described in detail below with reference to the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are only used to explain the present application and are not used to limit the present application.

[0050] The multi-phase interleaved parallel Boost converter topology based on the coupled inductor is as shown in the appendix Figure 1 As shown. As the energy storage element of the interleaved parallel Boost converter, reducing the volume of the coupled inductor can effectively improve the power density of the converter. The multi-phase stepped coupled inductor structure adopted in the present application is as shown in the appendix Figure 2 As shown. The windings are wound around the middle column, and the two side columns serve as the leakage magnetic flux paths. At the same time, air gaps are provided in the side columns to adjust the coupling coefficient between the inductors, and all the inductors are reversely coupled.

[0051] The method for determining the volume of the coupled inductor provided by the embodiment of the present application can be applied to, for example, Figure 3In the application environment shown. Among them, the terminal 102 communicates with the server 104 through the network. The data storage system can store the data that the server 104 needs to process. The data storage system can be integrated on the server 104, or can be placed on the cloud or other network servers. By performing fitness analysis on the initial size parameters of the coupled inductor, the fitness value of the initial size parameters is obtained; and according to the fitness value of the initial size parameters and the efficiency limit value of the converter corresponding to the coupled inductor, the target size parameters are screened from the initial size parameters; furthermore, the reference volume corresponding to the target size parameters is used as the minimum volume that meets the efficiency limit value of the converter corresponding to the coupled inductor. Among them, the terminal 102 can be but is not limited to various personal computers, laptop computers, smart phones, tablet computers, Internet of Things devices, and portable wearable devices. The Internet of Things devices can be smart speakers, smart TVs, smart air conditioners, smart in-vehicle devices, etc. The portable wearable devices can be smart watches, smart bracelets, head-mounted devices, etc. The server 104 can be implemented by an independent server or a server cluster composed of multiple servers.

[0052] As Figure 4 shown, this embodiment provides a method for determining the volume of a coupled inductor. Taking the server 104 in Figure 3 as an example, the method includes the following steps:

[0053] S401, generate initial size parameters for the coupled inductor.

[0054] It should be noted that the initial size parameters include the side post side length corresponding to the initial size parameters of the coupled inductor or the side post side length r1 of the target size parameters, the middle post side length corresponding to the initial size parameters or the middle post side length r2 of the target size parameters, the core width corresponding to the initial size parameters or the core width r0 of the target size parameters, the side post air gap l a , the operating frequency f s and the number of turns of the winding corresponding to the initial size parameters or the number of turns of the winding N of the target size parameters w ;

[0055] Therefore, the initial size parameters for the coupled inductor can be expressed as:

[0056] x = [r1, r2, r0, l a , f s , N w ;

[0057] In an embodiment of the present application, the specific dimensions of the multiphase stepped coupled inductor are as shown in the appendix Figure 5As shown in the figure, in the figure, r0 is the core width corresponding to the initial dimension parameter or the core width corresponding to the target dimension parameter, r1 is the side post length corresponding to the initial dimension parameter or the side post length corresponding to the target dimension parameter, r2 is the middle post length corresponding to the initial dimension parameter or the middle post length corresponding to the target dimension parameter, and the width of the flat copper wire is d w , and the height is h w , the spacing of the windings is d0, and N w is the number of winding turns corresponding to the initial dimension parameter or the number of winding turns corresponding to the target dimension parameter. To meet the process requirements, the width between the middle post and the side posts is twice the width of the flat copper wire, and the width between the two middle posts is three times the width of the flat copper wire.

[0058] Further, when generating the initial dimension parameters for the coupled inductor, the reference dimension parameters of other coupled inductors can be obtained, and the reference dimension parameters of other coupled inductors are used as the initial dimension parameters for the coupled inductor; alternatively, after determining the reference dimension parameters of other coupled inductors, cross-variation is performed on the reference dimension parameters of other coupled inductors to obtain the initial dimension parameters for the coupled inductor.

[0059] S402. According to the reference volume corresponding to the initial dimension parameters, perform fitness analysis on the initial dimension parameters to obtain the fitness value of the initial dimension parameters.

[0060] Among them, the fitness value has a negative correlation with the reference volume corresponding to the initial dimension parameters.

[0061] It should be noted that in order to effectively reduce the volume of the coupled inductor while meeting the efficiency limit value of the converter corresponding to the coupled inductor, fitness analysis can be performed on the initial dimension parameters based on the volume of the coupled inductor according to the reference volume corresponding to the initial dimension parameters. Furthermore, through the fitness value of the initial dimension parameters, the volume size of the coupled inductor is reflected, so as to screen the target dimension parameters from the initial dimension parameters in the subsequent process and achieve the preliminary processing of the initial dimension parameters.

[0062] Further, a fitness function can be pre-constructed. Then, substitute the reference volume corresponding to the initial dimension parameters of the coupled inductor into the fitness function to obtain the fitness value of the initial dimension parameters.

[0063] In an embodiment of the present application, the fitness function is as follows:

[0064] ;

[0065] Among them, F(x) refers to the fitness value of the initial dimension parameters; C is a pre-set value, and C can take the value of 1; V L (x) refers to the volume of the coupled inductor.

[0066] S403. Screen the target size parameters from the initial size parameters according to the fitness value of the initial size parameters and the efficiency limit value of the converter corresponding to the coupled inductor.

[0067] Among them, the efficiency limit value is the efficiency of the converter corresponding to the coupled inductor preset under the rated power.

[0068] It should be noted that a determination rule for the target size parameters for the fitness value can be constructed, and then the step of screening the target size parameters from the initial size parameters according to the fitness value of the initial size parameters and the efficiency limit value of the converter corresponding to the coupled inductor can be realized.

[0069] In an embodiment of the present application, a fitness threshold for the fitness value is preset, and it is judged whether the fitness value of each initial size parameter is greater than the fitness threshold. Furthermore, the initial size parameters with fitness values greater than the fitness threshold are screened out; the coupled inductor efficiency analysis is performed on the initial size parameters with fitness values greater than the fitness threshold, and it is judged whether the coupled inductor efficiency corresponding to the initial size parameters with fitness values greater than the fitness threshold can meet the efficiency limit value of the converter corresponding to the coupled inductor. Furthermore, among the initial size parameters with fitness values greater than the fitness threshold, the initial size parameters that can meet the efficiency limit value of the converter corresponding to the coupled inductor are used as the target size parameters.

[0070] Furthermore, a penalty function can be set to determine the penalty value of each size parameter according to the penalty function, so as to realize multiple screening of the initial size parameters according to the penalty value and the fitness value, so as to ensure the effectiveness of the target size parameters finally screened from the initial size parameters.

[0071] S404. Take the reference volume corresponding to the target size parameters as the minimum volume that meets the efficiency limit value of the converter corresponding to the coupled inductor.

[0072] Among them, the converter is an interleaved parallel Boost converter.

[0073] It should be noted that after determining the target size parameters, the target size parameters can be substituted into the volume function of the coupled inductor, and then the minimum volume that meets the efficiency limit value of the converter corresponding to the coupled inductor can be obtained.

[0074] Furthermore, the space occupied by the windings should be considered when calculating the volume of the coupled inductor, as Figure 6 shown. Therefore, the reference volume calculation formulas for the initial size parameters and the reference volume corresponding to the target size parameters are as follows:

[0075] ;

[0076] Among them, V LRefers to the reference volume corresponding to the initial size parameter or the reference volume corresponding to the target size parameter; calculate the reference volume V corresponding to the initial size parameter L When calculating, r0 is the core width corresponding to the initial size parameter or the core width corresponding to the target size parameter, r1 is the side post length corresponding to the initial size parameter or the side post length corresponding to the target size parameter, r2 is the middle post length corresponding to the initial size parameter or the middle post length corresponding to the target size parameter, and the width of the flat copper wire is d w and the height is h w and the winding pitch is d0, N w is the number of winding turns corresponding to the initial size parameter or the number of winding turns corresponding to the target size parameter.

[0077] Calculate the reference volume V corresponding to the target size parameter L When calculating, r0 is the core width corresponding to the target size parameter, r1 is the side post length corresponding to the target size parameter, r2 is the middle post length corresponding to the target size parameter, and the width of the flat copper wire is d w and the height is h w and the winding pitch is d0, N w is the number of winding turns corresponding to the target size parameter; N is the number of phases of the converter corresponding to the coupled inductor.

[0078] The above method for determining the volume of the coupled inductor obtains the fitness value of the initial size parameter by performing fitness analysis on the initial size parameter of the coupled inductor; and screens the target size parameter from the initial size parameters according to the fitness value of the initial size parameter and the efficiency limit value of the converter corresponding to the coupled inductor; furthermore, takes the reference volume corresponding to the target size parameter as the minimum volume that meets the efficiency limit value of the converter corresponding to the coupled inductor. According to the above content, it can be seen that in the process of determining the target size parameter in this application, multiple rounds of cyclic iterative analysis will be performed on the initial size parameter of the coupled inductor according to the fitness value of the initial size parameter and the efficiency limit value of the converter corresponding to the coupled inductor, so as to realize screening the target size parameter from the initial size parameters, so as to obtain the minimum volume for the coupled inductor when the efficiency limit value of the converter corresponding to the coupled inductor is determined, thereby effectively improving the power density of the converter and obtaining the optimal trade-off result between the volume of the coupled inductor and the efficiency of the converter.

[0079] As Figure 7 shown, when it is necessary to screen the target size parameter from the initial size parameters according to the fitness value of the initial size parameter and the efficiency limit value of the converter corresponding to the coupled inductor, it includes:

[0080] S701, take the initial size parameter with the largest fitness value as the candidate size parameter.

[0081] In an embodiment of the present application, the initial dimension parameters can be sorted in descending order according to the fitness value to obtain the sorted initial dimension parameters; further, the initial dimension parameter ranked first is used as the candidate dimension parameter.

[0082] S702. Verify whether the candidate dimension parameter meets the loop termination condition according to the efficiency limit value of the converter corresponding to the coupled inductor.

[0083] It should be noted that when it is necessary to verify whether the candidate dimension parameter meets the loop termination condition according to the efficiency limit value of the converter corresponding to the coupled inductor, the following content may be included: determine the penalty value corresponding to the candidate dimension parameter according to the efficiency limit value of the converter corresponding to the coupled inductor; if the penalty value is greater than or equal to the penalty threshold, it is determined that the candidate dimension parameter does not meet the loop termination condition; if the penalty value is less than the penalty threshold, it is determined that the candidate dimension parameter meets the loop termination condition.

[0084] Among them, the penalty value is used to characterize the degree to which the candidate dimension parameter violates the constraint conditions; the constraint conditions include inequality constraints and equality constraints.

[0085] Further, when determining the penalty value corresponding to the candidate dimension parameter according to the efficiency limit value of the converter corresponding to the coupled inductor, it may include: constructing inequality constraints and equality constraints for the coupled inductor according to the efficiency limit value of the converter corresponding to the coupled inductor; determining the penalty value corresponding to the candidate dimension parameter according to the preset penalty factor, inequality constraints and equality constraints. Among them, the inequality constraint is used to characterize the inequality constraint condition for the value range of the coupled inductor dimension parameter; the equality constraint is used to characterize the equality constraint condition for the efficiency limit value of the converter. Thus, it can be determined that the penalty function is as follows:

[0086] ;

[0087] Among them, is the penalty value; μ refers to the penalty factor, μ > 0; c i (x) corresponding inequality constraint; c j (x) corresponding equality constraint.

[0088] To further improve the optimization efficiency, the side column length of the magnetic core of the multi-phase stepped coupled inductor can be expressed by the middle column length, that is: r1 = mr2; where m is a preset proportionality coefficient, and the proportionality coefficient can be set or adjusted according to the actual situation, and the value range of the proportionality coefficient is not limited here;

[0089] Therefore, the expressions of c i (x) and c j (x) are as follows:

[0090] ;

[0091] Among them, the inequality constraint corresponding to c i (x); the equality constraint corresponding to c j (x); η min refers to the efficiency limit value of the converter corresponding to the coupled inductor; N w is the number of turns of the winding corresponding to the initial dimension parameter or the number of turns of the winding corresponding to the target dimension parameter; m is the proportionality coefficient; f s refers to the operating frequency; B max refers to the maximum magnetic flux density; r2 is the side length of the middle column corresponding to the initial dimension parameter or the side length of the middle column corresponding to the target dimension parameter; B(x) is the magnetic flux density; η(x) is the converter efficiency; Δi in_max is the maximum input current ripple; Δi in (x) is the input current ripple.

[0092] Furthermore, the calculation process of Δi in is as follows:

[0093] ;

[0094] Among them, Δi ti is the increment of the input current at time i, Δi tj is the increment of the input current at time j, Δi in is the input current ripple.

[0095] Among them, the intermediate value of the input current ripple calculated for Δi in is as follows:

[0096]

[0097] Among them, Δi tm is the intermediate value of the input current ripple, u Lk is the voltage across the inductor, d is the duty cycle, N is the number of phases of the converter corresponding to the coupled inductor, f s is the operating frequency, n is used to characterize the number of inductors among multiple inductors whose voltage across both ends is equal to the input voltage Ui; L eqk,m is the equivalent inductance.

[0098] S703, if the candidate dimension parameter meets the loop termination condition, then the candidate dimension parameter is used as the target dimension parameter.

[0099] It should be noted that if the candidate dimension parameter meets the loop termination condition, that is, the penalty value corresponding to the candidate dimension parameter is less than the penalty threshold, it can be determined that the candidate dimension parameter has evolved maturely and no longer has an evolution trend. Therefore, the candidate dimension parameter can be used as the target dimension parameter.

[0100] The above method for determining the volume of the coupled inductor realizes the screening process of the target size parameters by determining the candidate size parameters from the initial size parameters and verifying whether the candidate size parameters meet the loop termination condition. Through fitness value and penalty value, multiple screenings of the initial size parameters are realized, ensuring the accuracy of determining the target size parameters, and obtaining the minimum volume of the coupled inductor when determining the efficiency limit value of the converter corresponding to the coupled inductor.

[0101] In one embodiment, as Figure 8 shown, after verifying whether the candidate size parameters meet the loop termination condition, the following may further be included:

[0102] S801, if the candidate size parameters do not meet the loop termination condition, cross-mutate the size parameters to obtain new initial size parameters and enter the next loop.

[0103] It should be noted that during the process of generating the initial size parameters for the coupled inductor, operating parameters can be set; furthermore, according to the operating parameters, cross-mutation is performed on the candidate size parameters that do not meet the loop termination condition to obtain new initial size parameters, so as to ensure that size parameters with higher fitness values have a higher probability of being passed to the next generation. And crossover is the main method for generating new individuals. Using basic genetic operations and continuously iterating, new size parameters are obtained until the optimal solution is obtained.

[0104] As an example, the operating parameters can be the population size M = 200, the crossover probability p c = 0.7, the mutation probability p m = 0.1, and the termination generation T = 50.

[0105] Further, during each round of iteration, if it is determined that the candidate size parameters do not meet the loop termination condition, factor update of the penalty factor is performed to further improve the optimization efficiency; specifically: factor update of the penalty factor is performed according to the reduction coefficient to obtain a new penalty factor.

[0106] In one embodiment, an update function for the penalty factor can be constructed, and the update function is as follows:

[0107] μ = cμ;

[0108] where μ refers to the penalty factor, μ > 0; c refers to the reduction coefficient, 0 < c < 1.

[0109] S802, according to the new initial size parameters, return to execute the step of performing fitness analysis on the initial size parameters based on the reference volume corresponding to the initial size parameters to obtain the fitness value of the initial size parameters until the candidate size parameters meet the loop termination condition.

[0110] The above method for determining the volume of the coupled inductor realizes screening the target size parameters from the initial size parameters through multiple rounds of cyclic iterative analysis of the initial size parameters of the coupled inductor when the candidate size parameters do not meet the loop termination condition, so as to obtain the minimum volume for the coupled inductor under the condition of determining the efficiency limit value of the converter corresponding to the coupled inductor, thereby effectively improving the power density of the converter and obtaining the optimal trade-off result between the volume of the coupled inductor and the efficiency of the converter.

[0111] In one embodiment, as Figure 9 shown, when it is necessary to determine the minimum volume that meets the efficiency limit value of the converter corresponding to the coupled inductor, the following contents are included:

[0112] S901, generate the initial size parameters for the coupled inductor.

[0113] S902, perform fitness analysis on the initial size parameters according to the reference volume corresponding to the initial size parameters to obtain the fitness value of the initial size parameters.

[0114] S903, take the initial size parameter with the largest fitness value as the candidate size parameter.

[0115] S904, construct inequality constraints and equality constraints for the coupled inductor according to the efficiency limit value of the converter corresponding to the coupled inductor.

[0116] S905, determine the penalty value corresponding to the candidate size parameter according to the preset penalty factor, inequality constraints and equality constraints. If the penalty value is less than the penalty threshold, execute step S906; if the penalty value is greater than or equal to the penalty threshold, execute step S908.

[0117] S906, take the candidate size parameter as the target size parameter.

[0118] S907, take the reference volume corresponding to the target size parameter as the minimum volume that meets the efficiency limit value of the converter corresponding to the coupled inductor.

[0119] S908, perform crossover mutation on the size parameters to obtain new initial size parameters and enter the next cycle.

[0120] S909, return to execute the step of performing fitness analysis on the initial size parameters according to the reference volume corresponding to the initial size parameters to obtain the fitness value of the initial size parameters according to the new initial size parameters until the candidate size parameters meet the loop termination condition.

[0121] It should be noted that this application can give a general mathematical model of the multi-phase stepped coupled inductor from three aspects: electrical characteristics, magnetic field characteristics, and overall loss. Furthermore, according to the obtained mathematical model, a method for determining the volume of the coupled inductor is executed to achieve the dual optimization of the volume of the coupled inductor and the efficiency of the converter.

[0122] Specifically, (1) When analyzing the electrical characteristics of the multi-phase coupled inductor:

[0123] For the multi-phase interleaved parallel Boost topology, the voltage of the coupled inductor satisfies the following equation:

[0124] ;

[0125] Among them, u L1 is the voltage across the first-phase inductor, u L2 is the voltage across the second-phase inductor, u LN is the voltage across the Nth-phase inductor; L1 is the inductance of the first-phase inductor, L2 is the inductance of the second-phase inductor, L N is the inductance of the Nth-phase inductor; M 12 is the mutual inductance between the first-phase inductor and the second-phase inductor, M 1N is the mutual inductance between the first-phase inductor and the Nth-phase inductor, M 21 is the mutual inductance between the second-phase inductor and the first-phase inductor, M 2N is the mutual inductance between the second-phase inductor and the Nth-phase inductor, M N1 is the mutual inductance between the Nth-phase inductor and the first-phase inductor, M N2 is the mutual inductance between the Nth-phase inductor and the second-phase inductor; i L1 is the current flowing through the first-phase inductor, i L2 is the current flowing through the second-phase inductor, i LN is the current flowing through the Nth-phase inductor; t is time, and N is the number of phases of the converter corresponding to the coupled inductor.

[0126] According to the voltage equation of the coupled inductor, the coupled inductor can be decoupled to obtain that in the jth working mode, the decoupled inductance matrix L eqj is:

[0127] ;

[0128] Among them, L eqj is the equivalent inductance, L eq1j is the equivalent inductance of the first-phase inductor, L eq2j is the equivalent inductance of the second-phase inductor, L eqNj is the equivalent inductance of the Nth-phase inductor, and N is the number of phases of the converter corresponding to the coupled inductor.

[0129] Due to the asymmetry of the multiphase coupled inductor structure adopted in this paper, a general expression for the inductor current ripple and the input current ripple cannot be obtained. Therefore, a calculation method for both is given through recursive operations. For the i-th phase inductor, when n / N < d < (n + 1) / N, the inductor current ripple is Δi Li The expression is as follows:

[0130] ;

[0131] Among them,

[0132] ;

[0133] Among them, U o is the output voltage, d is the duty cycle, N is the number of phases of the converter corresponding to the coupled inductor, f s refers to the operating frequency, n is used to characterize the number of inductors among multiple inductors whose terminal voltage is equal to the input voltage U i ; L eqi,2i-1 , L eqi,2k-1 , L eqi,2k , L eqi,j and, L eqi,j-2N are all equivalent inductors.

[0134] By analyzing the above two formulas, the expression for the input current ripple is obtained as:

[0135] ;

[0136] ;

[0137] Among them, U o is the output voltage, d is the duty cycle, N is the number of phases of the converter corresponding to the coupled inductor, f s refers to the operating frequency, n is used to characterize the number of inductors among multiple inductors whose terminal voltage is equal to the input voltage U i ; L eqk,m is the equivalent inductor, Δi ti is the increment of the input current at time i, and Δi tj is the increment of the input current at time j.

[0138] (2) When analyzing the magnetic field characteristics of the multiphase coupled inductor:

[0139] When designing the coupled inductor, it is necessary to consider the maximum magnetic flux density, avoid magnetic core saturation, and also consider reducing the magnetic core loss to improve the efficiency of the converter. Therefore, magnetic flux analysis is of great significance for the design of the coupled inductor.

[0140] According to Kirchhoff's law of the magnetic circuit, the following formula can be obtained:

[0141] ;

[0142] Among them, Φ x is the magnetic flux matrix, G L is the conductance matrix, i x is the current matrix, F x is the magnetomotive force matrix, N w is the number of turns of the winding corresponding to the initial dimension parameter or the number of turns of the winding corresponding to the target dimension parameter, and R3 is the reluctance of the middle column.

[0143] Among them,

[0144] ;

[0145] Among them, Φ1 is the magnetic flux of the first-phase inductor, Φ2 is the magnetic flux of the second-phase inductor, Φ N is the magnetic flux of the Nth-phase inductor; R1 is the reluctance of the side column, R2 is the reluctance of the cross beam, and R3 is the reluctance of the middle column; F1 is the magnetomotive force of the branch corresponding to the first-phase inductor, F2 is the magnetomotive force of the branch corresponding to the second-phase inductor, F N is the magnetomotive force of the branch corresponding to the Nth-phase inductor, and N is the number of phases of the converter corresponding to the coupled inductor. Among them, the connection relationship between R1, R2, and R3 can refer to the Figure 10 shown DC magnetic flux reluctance model, and the Figure 11 shown AC magnetic flux reluctance model; Figure 10 and Figure 11 In, i L1 is the current flowing through the first-phase inductor, i L2 is the current flowing through the second-phase inductor, i LN is the current flowing through the Nth-phase inductor; u L1 is the voltage of the first-phase inductor; u L2 is the voltage of the second-phase inductor; u LN is the voltage of the Nth-phase inductor; Φ o is the side-column DC magnetic flux; Φ b is the cross-beam DC magnetic flux; N w is the number of turns of the winding corresponding to the initial dimension parameter or the number of turns of the winding corresponding to the target dimension parameter, and R3 is the reluctance of the middle column.

[0146] Analyzing the above two formulas, the expression of the DC magnetic flux is obtained as:

[0147] ;

[0148] Among them, Φ x is the magnetic flux matrix, G L is the conductance matrix, N w is the number of turns of the winding corresponding to the initial dimension parameter or the number of turns of the winding corresponding to the target dimension parameter, i x is the current matrix, and R3 is the reluctance of the middle column.

[0149] The AC magnetic flux of the middle column can be obtained according to Faraday's law of electromagnetic induction:

[0150] ;

[0151] Among them, ΔΦ c is the AC magnetic flux of the middle column, U o is the output voltage, d is the duty cycle, N w is the number of turns of the winding corresponding to the initial dimension parameter or the number of turns of the winding corresponding to the target dimension parameter, and f s refers to the operating frequency.

[0152] Using the superposition theorem, the AC magnetic flux ΔΦ o of the side column and the AC magnetic flux ΔΦ b of the crossbeam can be obtained. In the design of the coupled inductor, it is necessary to avoid magnetic core saturation. Here, considering the maximum magnetic flux density of the middle column and the side column is sufficient. According to the previous calculations, the maximum magnetic flux density of the middle column and the side column can be obtained from the DC magnetic flux and the AC magnetic flux:

[0153] ;

[0154] Among them, B o_max is the maximum magnetic flux density of the side column, B c_max is the maximum magnetic flux density of the middle column, ΔΦ c is the AC magnetic flux of the middle column, Φ o is the DC magnetic flux of the side column, Φ c is the DC magnetic flux of the middle column, ΔΦ o is the AC magnetic flux of the side column, ΔΦ c is the AC magnetic flux of the middle column, r0 is the core width corresponding to the initial dimension parameter or the core width corresponding to the target dimension parameter, r1 is the side length of the side column corresponding to the initial dimension parameter or the side length of the side column corresponding to the target dimension parameter, and r2 is the side length of the middle column corresponding to the initial dimension parameter or the side length of the middle column corresponding to the target dimension parameter.

[0155] When analyzing the efficiency of the converter:

[0156] The losses of the interleaved parallel Boost converter mainly include the MOSFET loss P S and the inductor loss P L . Among them, the inductor loss includes two parts: core iron loss and winding copper loss. Thus, the efficiency calculation formula of the interleaved parallel Boost converter is as follows;

[0157] ;

[0158] η refers to the efficiency of the interleaved parallel Boost converter; P S refers to the MOSFET loss; PL refers to the inductance loss; and, P in =U in I in where U in is the input voltage, and I in is the input current, and P in is the input power.

[0159] Based on the above content, it can be seen that the multi-objective optimization of the converter efficiency and the power density of the coupled inductor is essentially a numerical optimization problem, and the objective function and the constraint conditions are as follows:

[0160] ;

[0161] where V L (x) is the magnetic flux density, Δi in_max is the maximum input current ripple, Δi in (x) is the input current ripple, B max is the maximum magnetic flux density, B(x) is the magnetic flux density, η(x) is the converter efficiency, and η min is the efficiency limit value of the converter corresponding to the coupled inductor.

[0162] Therefore, when this application determines the minimum volume that meets the efficiency limit value of the converter corresponding to the coupled inductor, it will first perform structural optimization according to the mathematical model of the coupled inductor to determine the proportional relationship between the core thickness, the width of the side columns of the core, and the middle column of the core, as well as the size of the air gap in the side columns of the core; furthermore, a method combining the genetic algorithm and the penalty function is used to globally optimize the coupled inductor to determine the minimum volume that meets the efficiency limit value of the converter corresponding to the coupled inductor.

[0163] The above method for determining the volume of the coupled inductor obtains the fitness value of the initial size parameters by performing fitness analysis on the initial size parameters of the coupled inductor; and according to the fitness value of the initial size parameters and the efficiency limit value of the converter corresponding to the coupled inductor, the target size parameters are screened from the initial size parameters; furthermore, the reference volume corresponding to the target size parameters is used as the minimum volume that meets the efficiency limit value of the converter corresponding to the coupled inductor. According to the above content, it can be seen that during the process of determining the target size parameters in this application, the initial size parameters of the coupled inductor will be analyzed through multiple rounds of cyclic iteration according to the fitness value of the initial size parameters and the efficiency limit value of the converter corresponding to the coupled inductor, so as to screen the target size parameters from the initial size parameters, so as to obtain the minimum volume of the coupled inductor under the condition of determining the efficiency limit value of the converter corresponding to the coupled inductor, thereby effectively improving the power density of the converter and obtaining the optimal trade-off result between the volume of the coupled inductor and the efficiency of the converter.

[0164] It should be understood that although the steps in the flowcharts involved in the above embodiments are sequentially shown according to the arrows, these steps are not necessarily executed in the order indicated by the arrows. Unless there is a clear indication in this article, there is no strict order limit for the execution of these steps, and these steps can be executed in other orders. Moreover, at least a part of the steps in the flowcharts involved in the above embodiments may include multiple steps or multiple stages. These steps or stages are not necessarily executed at the same moment, but can be executed at different moments. The execution order of these steps or stages is not necessarily sequential, but can be executed alternately or in turn with at least a part of other steps or steps or stages in other steps.

[0165] An embodiment of the present application also provides a device for determining the volume of a coupled inductor for implementing the method for determining the volume of the coupled inductor involved above. The solution provided by this device to solve the problem is similar to the solution described in the above method. Therefore, the specific limitations in one or more embodiments of the device for determining the volume of the coupled inductor provided below can refer to the limitations on the method for determining the volume of the coupled inductor in the above text, and will not be repeated here.

[0166] As Figure 12 shown, this embodiment also provides a device for determining the volume of a coupled inductor, including: a generation module 10, an analysis module 20, a screening module 30, and a determination module 40.

[0167] The generation module 10 is used to generate initial dimension parameters for the coupled inductor.

[0168] The analysis module 20 is used to perform fitness analysis on the initial dimension parameters according to the reference volume corresponding to the initial dimension parameters, and obtain the fitness value of the initial dimension parameters, where the fitness value has a negative correlation with the reference volume corresponding to the initial dimension parameters.

[0169] The screening module 30 is used to screen target dimension parameters from the initial dimension parameters according to the fitness value of the initial dimension parameters and the efficiency limit value of the converter corresponding to the coupled inductor; where the efficiency limit value is the efficiency of the converter corresponding to the coupled inductor preset under the rated power.

[0170] The determination module 40 is used to use the reference volume corresponding to the target dimension parameters as the minimum volume that satisfies the efficiency limit value of the converter corresponding to the coupled inductor.

[0171] Preferably, the initial dimension parameter with the largest fitness value is used as the candidate dimension parameter; according to the efficiency limit value of the converter corresponding to the coupled inductor, verify whether the candidate dimension parameter meets the loop termination condition; if the candidate dimension parameter meets the loop termination condition, then use the candidate dimension parameter as the target dimension parameter.

[0172] In one embodiment, according to the efficiency limit value of the converter corresponding to the coupled inductor, determine the penalty value corresponding to the candidate size parameter; if the penalty value is greater than or equal to the penalty threshold, determine that the candidate size parameter does not meet the loop termination condition; if the penalty value is less than the penalty threshold, determine that the candidate size parameter meets the loop termination condition. Among them, the penalty value is used to characterize the degree to which the candidate size parameter violates the constraint conditions; the constraint conditions include inequality constraints and equality constraints.

[0173] In one embodiment, according to the efficiency limit value of the converter corresponding to the coupled inductor, construct inequality constraints and equality constraints for the coupled inductor; among them, the inequality constraint is used to characterize the inequality constraint conditions for the value range of the size parameters of the coupled inductor; the equality constraint is used to characterize the equality constraint conditions for the efficiency limit value of the converter; according to the preset penalty factor, inequality constraints and equality constraints, determine the penalty value corresponding to the candidate size parameter.

[0174] In one embodiment, if the candidate size parameter does not meet the loop termination condition, perform crossover mutation on the size parameter to obtain a new initial size parameter, and enter the next loop; according to the new initial size parameter, return to execute the step of performing fitness analysis on the initial size parameter based on the reference volume corresponding to the initial size parameter to obtain the fitness value of the initial size parameter, until the candidate size parameter meets the loop termination condition.

[0175] Preferably, update the penalty factor according to the reduction coefficient to obtain a new penalty factor.

[0176] The above-mentioned device for determining the volume of the coupled inductor obtains the fitness value of the initial size parameter by performing fitness analysis on the initial size parameter of the coupled inductor; and screens the target size parameter from the initial size parameters according to the fitness value of the initial size parameter and the efficiency limit value of the converter corresponding to the coupled inductor; furthermore, use the reference volume corresponding to the target size parameter as the minimum volume that meets the efficiency limit value of the converter corresponding to the coupled inductor. According to the above content, it can be seen that in the process of determining the target size parameter in this application, multiple rounds of loop iteration analysis will be performed on the initial size parameter of the coupled inductor according to the fitness value of the initial size parameter and the efficiency limit value of the converter corresponding to the coupled inductor, so as to realize screening the target size parameter from the initial size parameters, so as to obtain the minimum volume of the coupled inductor when the efficiency limit value of the converter corresponding to the coupled inductor is determined, thereby effectively improving the power density of the converter and obtaining the optimal trade-off result between the volume of the coupled inductor and the efficiency of the converter.

[0177] Each module in the above-mentioned coupling inductor volume determination device can be implemented in whole or in part by software, hardware, or a combination thereof. Each of the above modules can be embedded in or independent of the processor in the computer device in the form of hardware, or stored in the memory of the computer device in the form of software, so as to facilitate the processor to call and execute the operations corresponding to each of the above modules.

[0178] In one embodiment, a computer device is provided. The computer device can be a terminal, and its internal structure diagram can be as Figure 13 shown. The computer device includes a processor, a memory, an input / output interface, a communication interface, a display unit, and an input device. Among them, the processor, the memory, and the input / output interface are connected through a system bus, and the communication interface, the display unit, and the input device are connected to the system bus through the input / output interface. Among them, the processor of the computer device is used to provide computing and control capabilities. The memory of the computer device includes a non-volatile storage medium and an internal memory. The non-volatile storage medium stores an operating system and a computer program. The internal memory provides an environment for the operation of the operating system and the computer program in the non-volatile storage medium. The input / output interface of the computer device is used to exchange information between the processor and external devices. The communication interface of the computer device is used to communicate with external terminals in a wired or wireless manner. The wireless manner can be implemented through WIFI, a mobile cellular network, NFC (Near Field Communication), or other technologies. When the computer program is executed by the processor, it implements a method for determining the volume of a coupling inductor. Those skilled in the art can understand that Figure 13 the structure shown in

[0179] is only a block diagram of some structures related to the solution of this application, and does not constitute a limitation on the computer device to which the solution of this application is applied. The specific computer device may include more or fewer components than those shown in the figure, or combine some components, or have a different component layout.

[0180] In one embodiment, when the processor executes the computer program, the following steps are further implemented: using the initial size parameter with the maximum fitness value as the candidate size parameter; verifying whether the candidate size parameter meets the loop termination condition according to the efficiency limit value of the converter corresponding to the coupled inductor; if the candidate size parameter meets the loop termination condition, using the candidate size parameter as the target size parameter.

[0181] In one embodiment, when the processor executes the computer program, the following steps are further implemented: determining the penalty value corresponding to the candidate size parameter according to the efficiency limit value of the converter corresponding to the coupled inductor; wherein, the penalty value is used to characterize the degree to which the candidate size parameter violates the constraint conditions; the constraint conditions include inequality constraints and equality constraints; if the penalty value is greater than or equal to the penalty threshold, determining that the candidate size parameter does not meet the loop termination condition; if the penalty value is less than the penalty threshold, determining that the candidate size parameter meets the loop termination condition.

[0182] In one embodiment, when the processor executes the computer program, the following steps are further implemented: constructing inequality constraints and equality constraints for the coupled inductor according to the efficiency limit value of the converter corresponding to the coupled inductor; wherein, the inequality constraint is used to characterize the inequality constraint conditions for the value range of the size parameter of the coupled inductor; the equality constraint is used to characterize the equality constraint conditions for the efficiency limit value of the converter; determining the penalty value corresponding to the candidate size parameter according to the preset penalty factor, inequality constraint and equality constraint.

[0183] In one embodiment, when the processor executes the computer program, the following steps are further implemented: if the candidate size parameter does not meet the loop termination condition, performing crossover mutation on the size parameter to obtain a new initial size parameter, and entering the next loop; returning to execute the step of performing fitness analysis on the initial size parameter according to the reference volume corresponding to the initial size parameter to obtain the fitness value of the initial size parameter according to the new initial size parameter until the candidate size parameter meets the loop termination condition.

[0184] In one embodiment, when the processor executes the computer program, the following steps are further implemented: updating the factor of the penalty factor according to the reduction factor to obtain a new penalty factor.

[0185] The embodiments of the present application further provide a computer-readable storage medium, on which a computer program is stored. When the computer program is executed by a processor, the following steps are implemented: generating initial dimension parameters for a coupled inductor; performing fitness analysis on the initial dimension parameters according to the reference volume corresponding to the initial dimension parameters to obtain the fitness value of the initial dimension parameters; wherein, the fitness value is negatively correlated with the reference volume corresponding to the initial dimension parameters; screening target dimension parameters from the initial dimension parameters according to the fitness value of the initial dimension parameters and the efficiency limit value of the converter corresponding to the coupled inductor; wherein, the efficiency limit value is the efficiency of the converter corresponding to the coupled inductor under the rated power preset; taking the reference volume corresponding to the target dimension parameters as the minimum volume that meets the efficiency limit value of the converter corresponding to the coupled inductor.

[0186] In one embodiment, when the computer program is executed by a processor, the following steps are further implemented: taking the initial dimension parameter with the largest fitness value as the candidate dimension parameter; verifying whether the candidate dimension parameter meets the loop termination condition according to the efficiency limit value of the converter corresponding to the coupled inductor; if the candidate dimension parameter meets the loop termination condition, taking the candidate dimension parameter as the target dimension parameter.

[0187] In one embodiment, when the computer program is executed by a processor, the following steps are further implemented: determining the penalty value corresponding to the candidate dimension parameter according to the efficiency limit value of the converter corresponding to the coupled inductor; wherein, the penalty value is used to characterize the degree to which the candidate dimension parameter violates the constraint conditions; the constraint conditions include inequality constraints and equality constraints; if the penalty value is greater than or equal to the penalty threshold, determining that the candidate dimension parameter does not meet the loop termination condition; if the penalty value is less than the penalty threshold, determining that the candidate dimension parameter meets the loop termination condition.

[0188] In one embodiment, when the computer program is executed by a processor, the following steps are further implemented: constructing inequality constraints and equality constraints for the coupled inductor according to the efficiency limit value of the converter corresponding to the coupled inductor; wherein, the inequality constraints are used to characterize the inequality constraint conditions for the value range of the dimension parameters of the coupled inductor; the equality constraints are used to characterize the equality constraint conditions for the efficiency limit value of the converter; determining the penalty value corresponding to the candidate dimension parameter according to the preset penalty factor, inequality constraints and equality constraints.

[0189] In one embodiment, when the computer program is executed by a processor, the following steps are further implemented: if the candidate dimension parameter does not meet the loop termination condition, performing crossover and mutation on the dimension parameters to obtain new initial dimension parameters, and entering the next loop; returning to execute the step of performing fitness analysis on the initial dimension parameters according to the reference volume corresponding to the new initial dimension parameters to obtain the fitness value of the initial dimension parameters until the candidate dimension parameter meets the loop termination condition.

[0190] In one embodiment, when the computer program is executed by a processor, the following steps are further implemented: updating the penalty factor according to a reduction coefficient to obtain a new penalty factor.

[0191] An embodiment of the present application further provides a computer program product, including a computer program, which when executed by a processor, implements the following steps: generating initial dimension parameters for a coupled inductor; performing fitness analysis on the initial dimension parameters according to a reference volume corresponding to the initial dimension parameters to obtain a fitness value of the initial dimension parameters; wherein, the fitness value is negatively correlated with the reference volume corresponding to the initial dimension parameters; screening target dimension parameters from the initial dimension parameters according to the fitness value of the initial dimension parameters and an efficiency limit value of a converter corresponding to the coupled inductor; wherein, the efficiency limit value is the efficiency of the converter corresponding to the coupled inductor at the rated power preset in advance; using the reference volume corresponding to the target dimension parameters as the minimum volume that satisfies the efficiency limit value of the converter corresponding to the coupled inductor.

[0192] In one embodiment, when the computer program is executed by a processor, the following steps are further implemented: using the initial dimension parameter with the maximum fitness value as a candidate dimension parameter; verifying whether the candidate dimension parameter meets a loop termination condition according to the efficiency limit value of the converter corresponding to the coupled inductor; if the candidate dimension parameter meets the loop termination condition, using the candidate dimension parameter as the target dimension parameter.

[0193] In one embodiment, when the computer program is executed by a processor, the following steps are further implemented: determining a penalty value corresponding to the candidate dimension parameter according to the efficiency limit value of the converter corresponding to the coupled inductor; wherein, the penalty value is used to characterize the degree to which the candidate dimension parameter violates the constraint conditions; the constraint conditions include inequality constraints and equality constraints; if the penalty value is greater than or equal to a penalty threshold, determining that the candidate dimension parameter does not meet the loop termination condition; if the penalty value is less than the penalty threshold, determining that the candidate dimension parameter meets the loop termination condition.

[0194] In one embodiment, when the computer program is executed by a processor, the following steps are further implemented: constructing inequality constraints and equality constraints for the coupled inductor according to the efficiency limit value of the converter corresponding to the coupled inductor; wherein, the inequality constraints are used to characterize inequality constraint conditions for the value range of the dimension parameters of the coupled inductor; the equality constraints are used to characterize equality constraint conditions for the efficiency limit value of the converter; determining a penalty value corresponding to the candidate dimension parameter according to a preset penalty factor, inequality constraints and equality constraints.

[0195] In one embodiment, when the computer program is executed by a processor, the following steps are further implemented: if the candidate size parameter does not meet the loop termination condition, cross-mutate the size parameter to obtain a new initial size parameter, and enter the next loop; return and execute the step of obtaining the fitness value of the initial size parameter by performing fitness analysis on the initial size parameter according to the reference volume corresponding to the initial size parameter based on the new initial size parameter, until the candidate size parameter meets the loop termination condition.

[0196] In one embodiment, when the computer program is executed by a processor, the following steps are further implemented: update the penalty factor according to the reduction factor to obtain a new penalty factor.

[0197] The above embodiments only represent several implementation manners of the present application, and their descriptions are relatively specific and detailed, but should not be construed as a limitation on the patent scope of the present application. It should be noted that for those of ordinary skill in the art, without departing from the concept of the present application, several modifications and improvements can still be made, and these all belong to the protection scope of the present application. Therefore, the protection scope of the present application shall be subject to the appended claims.

Claims

1. A method for determining the volume of a coupled inductor, characterized in that: include: Generate initial size parameters for coupled inductors; According to the reference volume corresponding to the initial size parameter, the initial size parameter is subjected to fitness analysis to obtain a fitness value of the initial size parameter; wherein the fitness value is negatively correlated with the reference volume corresponding to the initial size parameter; Taking the initial size parameter with the largest fitness value as a candidate size parameter; According to the efficiency limit value of the converter corresponding to the coupled inductor, an inequality constraint and an equality constraint for the coupled inductor are constructed; wherein the inequality constraint is used to characterize the inequality constraint condition for the value range of the coupled inductor size parameter; the equality constraint is used to characterize the equality constraint condition for the efficiency limit value of the converter; the efficiency limit value is the preset efficiency of the converter corresponding to the coupled inductor at the rated power; Determine the penalty value corresponding to the candidate size parameter according to the preset penalty factor, the inequality constraint and the equality constraint; wherein the constraint condition includes an inequality constraint and an equality constraint; If the penalty value is greater than or equal to the penalty threshold, it is determined that the candidate size parameter does not meet the loop termination condition; if the penalty value is less than the penalty threshold, it is determined that the candidate size parameter meets the loop termination condition; If the candidate size parameter meets the loop termination condition, the candidate size parameter is used as the target size parameter; Taking the reference volume corresponding to the target size parameter as the minimum volume that satisfies the efficiency limit value of the converter corresponding to the coupled inductor; The calculation formulas for the reference volume corresponding to the initial size parameters and the reference volume corresponding to the target size parameters are as follows: ； in, V L Refers to the reference volume corresponding to the initial size parameter or the reference volume corresponding to the target size parameter; r 0 is the core width corresponding to the initial size parameter or the core width corresponding to the target size parameter, r 1 is the side length of the side column corresponding to the initial size parameter or the side length of the side column corresponding to the target size parameter, r 2 is the length of the middle column corresponding to the initial size parameter or the length of the middle column corresponding to the target size parameter, and the width of the flat copper wire is d w , Gao Wei h w The spacing of the windings is d 0, N w is the number of winding turns corresponding to the initial size parameter or the number of winding turns corresponding to the target size parameter; N is the phase number of the converter corresponding to the coupled inductor; The penalty value corresponding to the candidate size parameter is determined by a penalty function, as shown below: ； in, Take a value for the penalty; μ refers to the penalty factor, μ >0; c i ( x ) corresponding to the inequality constraints; c j ( x ) corresponding to the equality constraint; The inequality constraint and the equality constraint are as follows: ； c i ( x ) corresponding to the inequality constraints; c j ( x ) corresponding to the equality constraint; η min Refers to the efficiency limit value of the converter corresponding to the coupled inductor; N w is the number of winding turns corresponding to the initial size parameter or the number of winding turns corresponding to the target size parameter; m is the proportionality coefficient; f s Refers to the operating frequency; B max Refers to the maximum magnetic flux density; r 2 is the side length of the middle column corresponding to the initial size parameter or the side length of the middle column corresponding to the target size parameter; B ( x ) is the magnetic flux density; η ( x ) is the converter efficiency; Δ i in_max is the maximum input current ripple; Δ i in ( x ) is the input current ripple; Furthermore, the inequality constraint and the equality constraint Δ i in The calculation process is as follows: ； Among them, Δ i ti for i The increment of input current at a given moment, Δ i tj for j The increment of input current at a given moment, Δ i in is the input current ripple; Among them, for Δ i in The calculated intermediate values ​​of the input current ripple are as follows: ； Among them, Δ i tm is the middle value of the input current ripple, u Lk is the voltage across the inductor, d is the duty cycle, N is the number of phases of the converter corresponding to the coupled inductor, f s is the operating frequency, n Used to characterize that the voltage across multiple inductors is equal to the input voltage Ui The number of inductors; L eqk,m is the equivalent inductance; Among them, for the coupled inductor i Phase inductance, n / N < d <( n +1) / N When the inductor current ripple is Δ i Li The expression is as follows: ； in, ； in, U o is the output voltage, d is the duty cycle, N is the number of phases of the converter corresponding to the coupled inductor, f s refers to the operating frequency, n Used to characterize that the voltage across multiple inductors is equal to the input voltage U i The number of inductors; L eqi,2i-1 , L eqi,2k-1 , L eqi,2k , L eqi,j as well as, L eqi,j-2N are equivalent inductances.

2. The volume determination method according to claim 1, characterized in that: The initial size parameters include the side column length corresponding to the initial size parameters of the coupled inductor or the side column length corresponding to the target size parameters, the middle column length corresponding to the initial size parameters or the middle column length corresponding to the target size parameters, the core width corresponding to the initial size parameters or the core width corresponding to the target size parameters, the side column air gap, the operating frequency and the number of winding turns corresponding to the initial size parameters or the number of winding turns corresponding to the target size parameters.

3. The volume determination method according to claim 2, characterized in that: The penalty value is used to characterize the degree to which the candidate size parameter violates the constraint condition.

4. The volume determination method according to claim 3, characterized in that: The inequality constraint is used to characterize the inequality constraint condition for the value range of the coupled inductor size parameter; the equality constraint is used to characterize the equality constraint condition for the efficiency limit value of the converter.

5. The volume determination method according to claim 4, characterized in that: Also includes: If the candidate size parameters do not meet the loop termination condition, the size parameters are cross-mutated to obtain new initial size parameters and enter the next loop; According to the new initial size parameter, the step of performing fitness analysis on the initial size parameter according to the reference volume corresponding to the initial size parameter to obtain the fitness value of the initial size parameter is returned until the candidate size parameter meets the loop termination condition.

6. The volume determination method according to claim 5, characterized in that: The penalty factor is updated according to the reduction coefficient to obtain a new penalty factor.

7. A volume determination device of coupled inductance, characterized in that: include: A generation module, used for generating initial size parameters for coupled inductors; An analysis module, configured to perform fitness analysis on the initial size parameter according to a reference volume corresponding to the initial size parameter, to obtain a fitness value of the initial size parameter; wherein the fitness value is negatively correlated with the reference volume corresponding to the initial size parameter; A screening module, used to take the initial size parameter with the largest fitness value as a candidate size parameter; construct an inequality constraint and an equality constraint for the coupled inductor according to the efficiency limit value of the converter corresponding to the coupled inductor; wherein the inequality constraint is used to characterize the inequality constraint condition for the value range of the coupled inductor size parameter; the equality constraint is used to characterize the equality constraint condition for the efficiency limit value of the converter; the efficiency limit value is the preset efficiency of the coupled inductor corresponding to the converter at rated power; determine the penalty value corresponding to the candidate size parameter according to a preset penalty factor, the inequality constraint and the equality constraint; wherein the constraint condition includes an inequality constraint and an equality constraint; if the penalty value is greater than or equal to a penalty threshold, it is determined that the candidate size parameter does not meet the loop termination condition; if the penalty value is less than the penalty threshold, it is determined that the candidate size parameter meets the loop termination condition; if the candidate size parameter meets the loop termination condition, the candidate size parameter is used as the target size parameter; A determination module, configured to use the reference volume corresponding to the target size parameter as the minimum volume that satisfies the efficiency limit value of the converter corresponding to the coupled inductor; The calculation formulas for the reference volume corresponding to the initial size parameters and the reference volume corresponding to the target size parameters are as follows: ； in, V L Refers to the reference volume corresponding to the initial size parameter or the reference volume corresponding to the target size parameter; r 0 is the core width corresponding to the initial size parameter or the core width corresponding to the target size parameter, r 1 is the side length of the side column corresponding to the initial size parameter or the side length of the side column corresponding to the target size parameter, r 2 is the length of the middle column corresponding to the initial size parameter or the length of the middle column corresponding to the target size parameter, and the width of the flat copper wire is d w , Gao Wei h w The spacing of the windings is d 0, N w is the number of winding turns corresponding to the initial size parameter or the number of winding turns corresponding to the target size parameter; N is the phase number of the converter corresponding to the coupled inductor; The penalty value corresponding to the candidate size parameter is determined by a penalty function, as shown below: ； in, Take a value for the penalty; μ refers to the penalty factor, μ >0; c i ( x ) corresponding to the inequality constraints; c j ( x ) corresponding to the equality constraint; The inequality constraint and the equality constraint are as follows: ； c i ( x ) corresponding to the inequality constraints; c j ( x ) corresponding to the equality constraint; η min Refers to the efficiency limit value of the converter corresponding to the coupled inductor; N w is the number of winding turns corresponding to the initial size parameter or the number of winding turns corresponding to the target size parameter; m is the proportionality coefficient; f s Refers to the operating frequency; B max Refers to the maximum magnetic flux density; r 2 is the side length of the middle column corresponding to the initial size parameter or the side length of the middle column corresponding to the target size parameter; B ( x ) is the magnetic flux density; η ( x ) is the converter efficiency; Δ i in_max is the maximum input current ripple; Δ i in ( x ) is the input current ripple; Furthermore, the inequality constraint and the equality constraint Δ i in The calculation process is as follows: ； Among them, Δ i ti for i The increment of input current at a given moment, Δ i tj for j The increment of input current at a given moment, Δ i in is the input current ripple; Among them, for Δ i in The calculated intermediate values ​​of the input current ripple are as follows: ； Among them, Δ i tm is the middle value of the input current ripple, u Lk is the voltage across the inductor, d is the duty cycle, N is the number of phases of the converter corresponding to the coupled inductor, f s is the operating frequency, n Used to characterize that the voltage across multiple inductors is equal to the input voltage Ui The number of inductors; L eqk,m is the equivalent inductance; Among them, for the coupled inductor i Phase inductance, n / N < d <( n +1) / N When the inductor current ripple is Δ i Li The expression is as follows: ； in, ； in, U o is the output voltage, d is the duty cycle, N is the number of phases of the converter corresponding to the coupled inductor, f s refers to the operating frequency, n Used to characterize that the voltage across multiple inductors is equal to the input voltage U i The number of inductors; L eqi,2i-1 , L eqi,2k-1 , L eqi,2k , L eqi,j as well as, L eqi,j-2N are equivalent inductances.

8. A computer device comprising a memory and a processor, wherein the memory stores a computer program, wherein: When the processor executes the computer program, the steps of the volume determination method according to any one of claims 1 to 6 are implemented.

9. A computer-readable storage medium having a computer program stored thereon, characterized in that: When the computer program is executed by a processor, the steps of the volume determination method according to any one of claims 1 to 6 are implemented.

10. A computer program product, comprising a computer program, characterized in that When the computer program is executed by a processor, the steps of the volume determination method according to any one of claims 1 to 6 are implemented.

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