Volume determination method and device of coupling inductor, computer equipment and storage medium
By performing fitness analysis and screening of the initial size parameters, the target size parameters are determined to reduce the coupling inductor volume, the problem of the coupling inductor volume reduction when meeting the efficiency limit value is solved, and a high power density converter design is realized.
Patent Information
- Application Number
- CN202510113609.8
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Filing Date
- 2025-01-24
- Publication Date
- 2025-03-04
- Estimated Expiration
- 2045-01-24
AI Technical Summary
When the coupling inductor efficiency limit is met, how to effectively reduce the volume of the coupling inductor to meet the high industrial requirements for power density.
By performing fitness analysis on the initial size parameters, the target size parameters are selected to ensure that the reference volume corresponding to the target size parameters is the minimum volume that meets the efficiency limit value of the coupled inductor converter.
It is realized that the coupling inductor volume is reduced when the coupling inductor efficiency limit is met, thereby improving the power density of the converter and achieving the optimal trade-off between the coupling inductor volume and the converter efficiency.
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Figure CN119558094A_ABST
Abstract
Description
Technical Field
[0001] The present application relates to the technical field of switching power supplies, and in particular to a method, device, computer equipment and storage medium for determining the volume of a coupled inductor. Background Art
[0002] With the increasingly serious environmental problems and the increasing shortage of fossil energy, a sustainable and clean electrified transportation mode has become a hot topic of research. Therefore, electric vehicles have been used more and more widely. Fuel cells are becoming the main power source for electric vehicles due to their high efficiency and pollution-free advantages. As a prominent solution for high-power DC-DC converters (a device that converts a DC input voltage (or current) into another level of DC output voltage (or current)), interleaved parallel Boost converters are widely used in DC-DC converters for vehicle power supplies due to their advantages such as low 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 staggered parallel Boost converters. However, as the industrial requirements for power and volume become higher and higher, two-phase coupled inductors cannot meet the requirements in terms of power density. Therefore, how to effectively reduce the volume of coupled inductors while meeting the efficiency limit of coupled inductors has become an urgent problem to be solved. Summary of the invention
[0004] Based on this, it is necessary to provide a method, device, computer equipment and storage medium for determining the volume of a coupled inductor, which can effectively reduce the volume of the coupled inductor while meeting the efficiency limit value of the coupled inductor, in order to address the above technical problems.
[0005] In a first aspect, the present application provides a method for determining the volume of a coupled inductor, comprising:
[0006] Generate initial size parameters for coupled inductors;
[0007] According to the reference volume corresponding to the initial size parameter, the initial size parameter is subjected to fitness analysis to obtain the fitness value of the initial size parameter; wherein the fitness value is negatively correlated with the reference volume corresponding to the initial size parameter;
[0008] According to the fitness value of the initial size parameter and the efficiency limit value of the converter corresponding to the coupled inductor, the target size parameter is selected from the initial size parameter; wherein the efficiency limit value is the efficiency of the converter corresponding to the coupled inductor at the rated power set in advance;
[0009] The reference volume corresponding to the target size parameter is used as the minimum volume that satisfies the efficiency limit value of the converter corresponding to the coupled inductor;
[0010] 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 parameter or the reference volume corresponding to the target size parameter; 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 column length corresponding to the initial size parameter or the side column length corresponding to the target size parameter, r2 is the middle column length corresponding to the initial size parameter or the middle column length corresponding to the target size parameter, and the width of the flat copper wire is d w , 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, the target size parameter is screened from the initial size parameter according to the fitness value of the initial size parameter and the efficiency limit value of the converter corresponding to the coupled inductor, 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; wherein the penalty value is used to characterize the degree to which the candidate size parameter violates the constraint condition; 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;
[0015] Among them, the penalty value corresponding to the candidate size parameter can be determined by the penalty function, and the penalty function is as follows:
[0016]
[0017] in, is the penalty value; μ refers to the penalty factor, μ>0; c i (x) The corresponding inequality constraint; c j (x) corresponds to the equality constraint.
[0018] Preferably, according to the efficiency limit value of the converter corresponding to the coupled inductor, the penalty value corresponding to the candidate size parameter is determined, including: 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; according to the preset penalty factor, the inequality constraint and the equality constraint, the penalty value corresponding to the candidate size parameter is determined;
[0019] The inequality constraints and equality constraints are as follows:
[0020] ;
[0021] Among them, c i (x) The corresponding inequality constraint; c j (x) corresponds 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 proportional coefficient; f s Refers to the operating frequency; B max Refers to the maximum magnetic flux density; r2 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; 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 also includes: if the candidate size parameters do not meet the loop termination condition, cross-mutating the size parameters to obtain new initial size parameters and entering the next loop; returning to execute the reference volume corresponding to the initial size parameters according to the new initial size parameters, performing fitness analysis on the initial size parameters to obtain the fitness value of the initial size parameters, until the candidate size parameters meet the loop termination condition.
[0023] Preferably, the volume determination method comprises: updating the penalty factor according to the reduction coefficient to obtain a new penalty factor.
[0024] In a second aspect, the present application further provides a volume determination device of a coupled inductor, comprising:
[0025] A generation module, used for generating initial size parameters for coupled inductors;
[0026] An analysis module is used 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;
[0027] A screening module is used to screen 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;
[0028] A determination module is used to 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;
[0029] 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:
[0030]
[0031] Among them, V L Refers to the reference volume corresponding to the initial size parameter or the reference volume corresponding to the target size parameter; 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 column length corresponding to the initial size parameter or the side column length corresponding to the target size parameter, r2 is the middle column length corresponding to the initial size parameter or the middle column length corresponding to the target size parameter, and the width of the flat copper wire is d w , 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.
[0032] In a third aspect, the present application further provides a computer device, which includes a memory and a processor, wherein the memory stores a computer program, and the processor implements the above steps when executing the computer program.
[0033] In a fourth aspect, the present application further provides a computer-readable storage medium. The computer-readable storage medium stores a computer program, and when the computer program is executed by a processor, the above steps are implemented.
[0034] In a fifth aspect, the present application also provides a computer program product, which includes a computer program, and the computer program implements the above steps when executed by a processor.
[0035] The method, device, computer equipment and storage medium for determining the volume of the coupled inductor provided in the present application perform fitness analysis on the initial size parameters of the coupled inductor to obtain the fitness value of the initial size parameters; and select 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; and then use 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 seen that in the process of determining the target size parameters, the present application will perform multiple rounds of cyclic iterative analysis 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 select the target size parameters 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. BRIEF DESCRIPTION OF THE DRAWINGS
[0036] FIG1 is a schematic diagram of the structure of a multi-phase interleaved parallel Boost converter topology provided in an embodiment of the present application;
[0037] FIG2 is a schematic structural diagram of a multi-phase stepped coupled inductor structure provided in an embodiment of the present application;
[0038] FIG3 is a diagram showing an application environment of a method for determining the volume of a coupled inductor provided in an embodiment of the present application;
[0039] FIG4 is a schematic flow chart of a first method for determining the volume of a coupled inductor provided in an embodiment of the present application;
[0040] FIG5 is a schematic diagram of the dimensions of a first multi-phase stepped coupled inductor provided in an embodiment of the present application;
[0041] FIG6 is a schematic diagram of the dimensions of a second multi-phase stepped coupled inductor provided in an embodiment of the present application;
[0042] FIG7 is a schematic flow chart of a second method for determining the volume of a coupled inductor provided in an embodiment of the present application;
[0043] FIG8 is a schematic flow chart of a third method for determining the volume of a coupled inductor provided in an embodiment of the present application;
[0044] FIG9 is a schematic flow chart of a fourth method for determining the volume of a coupled inductor provided in an embodiment of the present application;
[0045] FIG10 is a schematic diagram of the structure of a magnetic resistance model for DC flux analysis provided in an embodiment of the present application;
[0046] FIG11 is a schematic diagram of the structure of a magnetic resistance model for AC magnetic flux analysis provided in an embodiment of the present application;
[0047] FIG12 is a structural block diagram of a volume determination device of a coupled inductor provided in an embodiment of the present application;
[0048] FIG. 13 is a diagram showing the internal structure of a computer device in one embodiment. DETAILED DESCRIPTION
[0049] In order to make the purpose, technical solution and advantages of the present application more clearly understood, the present application is further described in detail below in conjunction with 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 topology of the multi-phase staggered parallel Boost converter based on coupled inductors is shown in Figure 1. As an energy storage element of the staggered 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 used in this application is shown in Figure 2. The winding is wound on the middle column, and the two side columns serve as the leakage magnetic circuit. At the same time, air gaps are set on the side columns to adjust the coupling coefficient between the inductors. All inductors are reverse coupled.
[0051] The volume determination method of the coupled inductor provided in the embodiment of the present application can be applied in the application environment shown in FIG. 3 . 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 it 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; and then, 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, laptops, smart phones, tablet computers, Internet of Things devices and portable wearable devices, and the Internet of Things devices can be smart speakers, smart TVs, smart air conditioners, smart car-mounted devices, etc. Portable wearable devices can be smart watches, smart bracelets, head-mounted devices, etc. The server 104 can be implemented with an independent server or a server cluster consisting of multiple servers.
[0052] As shown in FIG. 4 , this embodiment provides a method for determining the volume of a coupled inductor, which is described by taking the method applied to the server 104 in FIG. 3 as an example, and 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 column length corresponding to the initial size parameters of the coupled inductor or the side column length r1 corresponding to the target size parameters, the middle column length corresponding to the initial size parameters or the middle column length r2 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 r0, and the side column air gap l a , operating frequency f s The number of winding turns corresponding to the initial size parameter or the number of winding turns N corresponding to the target size parameter 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 one embodiment of the present application, the specific dimensions of the multi-phase stepped coupled inductor are shown in FIG5, in which 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 column length corresponding to the initial dimension parameter or the side column length corresponding to the target dimension parameter, r2 is the middle column length corresponding to the initial dimension parameter or the middle column length corresponding to the target dimension parameter, and the width of the flat copper wire is d w , 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. In order to meet the process requirements, the width between the middle column and the side column is twice the width of the flat copper wire, and the width between the two middle columns is three times the width of the flat copper wire.
[0058] Further explanation: when generating the initial size parameters for the coupled inductor, reference size parameters of other coupled inductors may be obtained, and the reference size parameters of other coupled inductors may be used as the initial size parameters for the coupled inductor; or, after determining the reference size parameters of other coupled inductors, the reference size parameters of other coupled inductors may be cross-mutated to obtain the initial size parameters for the coupled inductor.
[0059] S402, performing fitness analysis on the initial size parameter according to the reference volume corresponding to the initial size parameter to obtain a fitness value of the initial size parameter.
[0060] Among them, the fitness value is negatively correlated with the reference volume corresponding to the initial size parameter.
[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, the initial size parameters can be analyzed for fitness based on the volume of the coupled inductor according to the reference volume corresponding to the initial size parameters. Then, the volume of the coupled inductor can be reflected by taking the fitness value of the initial size parameters, so as to select the target size parameters from the initial size parameters and implement preliminary processing of the initial size parameters.
[0062] To further illustrate, a fitness function may be constructed in advance, and then, a reference volume corresponding to the initial size parameter of the coupled inductor may be substituted into the fitness function to obtain a fitness value of the initial size parameter.
[0063] In one 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 size parameter; C is a pre-set value, which can be 1; V L (x) refers to the volume of the coupled inductor.
[0066] S403, selecting a 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.
[0067] The efficiency limit value is the efficiency of the converter corresponding to the preset coupled inductance at the rated power.
[0068] It should be noted that a target size parameter determination rule for fitness values can be constructed, thereby implementing the step of screening the target size parameter from the initial size parameters based on the fitness value of the initial size parameter and the efficiency limit value of the converter corresponding to the coupled inductor.
[0069] In one embodiment of the present application, a fitness threshold for the fitness value is pre-set to determine whether the fitness value of each initial size parameter is greater than the fitness threshold, and then the initial size parameters with fitness values greater than the fitness threshold are screened out; a coupled inductor efficiency analysis is performed on the initial size parameters with fitness values greater than the fitness threshold to determine 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, and then, 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 target size parameters.
[0070] Further explanation, a penalty function can be set to determine the penalty value of each size parameter according to the penalty function, so as to implement multiple screening of the initial size parameters according to the penalty value and the fitness value, so as to ensure the validity of the target size parameters finally screened from the initial size parameters.
[0071] S404: Using 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.
[0072] The converter is an interleaved parallel Boost converter.
[0073] It should be noted that after determining the target size parameter, the target size parameter can be substituted into the volume function of the coupled inductor, thereby obtaining the minimum volume that satisfies the efficiency limit value of the converter corresponding to the coupled inductor.
[0074] Furthermore, the space occupied by the windings must be considered when calculating the volume of the coupled inductor, as shown in FIG6 . Therefore, the reference volume calculation formula corresponding to the initial size parameters and the reference volume calculation formula corresponding to the target size parameters are as follows:
[0075] ;
[0076] Among them, V L Refers 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 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 column length corresponding to the initial size parameter or the side column length corresponding to the target size parameter, r2 is the middle column length corresponding to the initial size parameter or the middle column length corresponding to the target size parameter, and the width of the flat copper wire is d w , 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.
[0077] Calculate the reference volume V corresponding to the target size parameter L When r0 is the core width corresponding to the target size parameter, r1 is the side length of the side column corresponding to the target size parameter, r2 is the side length of the middle column corresponding to the target size parameter, and the width of the flat copper wire is d w , height is h w , the spacing of the windings 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-mentioned method for determining the volume of the coupled inductor performs fitness analysis on the initial size parameters of the coupled inductor to obtain the fitness value of the initial size parameters; and selects 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; and then uses 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, in the process of determining the target size parameters, the application will perform multiple rounds of cyclic iterative analysis 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 select the target size parameters 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 shown in FIG7 , when it is necessary to select the target size parameter from the initial size parameter 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, taking the initial size parameter with the largest fitness value as a candidate size parameter.
[0081] In one embodiment of the present application, each initial size parameter may be sorted in descending order of fitness value to obtain sorted initial size parameters; then, the initial size parameter ranked first is used as a candidate size parameter.
[0082] S702, verifying whether the candidate size parameters meet 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 size parameters meet the loop termination conditions based on the efficiency limit value of the converter corresponding to the coupled inductor, the following contents may be included: determining the penalty value corresponding to the candidate size parameters based on 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, determining that the candidate size parameters do not meet the loop termination conditions; if the penalty value is less than the penalty threshold, determining that the candidate size parameters meet the loop termination conditions.
[0084] 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.
[0085] Furthermore, when determining the penalty value corresponding to the candidate size 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 size parameter according to the preset penalty factor, inequality constraint and equality constraint. Among them, 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. It can be determined that the penalty function is as follows:
[0086] ;
[0087] in, is the penalty value; μ refers to the penalty factor, μ>0; c i (x) The corresponding inequality constraint; c j (x) corresponds to the equality constraint.
[0088] In order to further improve the optimization efficiency, the length of the side column of the core of the multi-phase stepped coupled inductor can be expressed by the length of the middle column, that is: r1=mr2; where m is a preset proportional coefficient, which can be set or adjusted according to actual conditions, and the value range of the proportional coefficient is not limited here;
[0089] Therefore, c i (x) and c j The expression of (x) is as follows:
[0090] ;
[0091] Among them, c i (x) The corresponding inequality constraint; c j (x) corresponds 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 proportional coefficient; f s Refers to the operating frequency; B max Refers to the maximum magnetic flux density; r2 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; 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, Δi in The calculation process is as follows:
[0093] ;
[0094] Among them, Δi ti is the increment of input current at time i, Δi tj is the increment of input current at time j, Δi in is the input current ripple.
[0095] Among them, for Δi in The calculated intermediate values of the input current ripple are as follows:
[0096]
[0097] Among them, Δi 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, and f s is the operating frequency, n is used to represent the number of inductors whose voltage across the two ends is equal to the input voltage Ui among multiple inductors; L eqk,m is the equivalent inductance.
[0098] S703: If the candidate size parameter meets the loop termination condition, the candidate size parameter is used as the target size parameter.
[0099] It should be noted that if the candidate size parameter meets the loop termination condition, that is, the penalty value corresponding to the candidate size parameter is less than the penalty threshold, it can be determined that the candidate size parameter has evolved to maturity and no longer has an evolutionary trend. Therefore, the candidate size parameter can be used as the target size parameter.
[0100] The above-mentioned method for determining the volume of the coupled inductor determines the candidate size parameters from the initial size parameters and verifies whether the candidate size parameters meet the loop termination conditions, thereby realizing the screening process of the target size parameters. Through fitness value selection and penalty value selection, multiple screening of the initial size parameters is realized, thereby ensuring the accuracy of the determination of the target size parameters, and realizing the acquisition of the minimum volume for the coupled inductor when the efficiency limit value of the converter corresponding to the coupled inductor is determined.
[0101] In one embodiment, as shown in FIG8 , after verifying whether the candidate size parameters meet the loop termination condition, the following contents may also be included:
[0102] S801, if the candidate size parameters do not meet the loop termination condition, cross-mutation is performed on the size parameters to obtain new initial size parameters and enter the next loop.
[0103] It should be noted that, in the process of generating the initial size parameters for the coupled inductor, the operating parameters can be set; then, according to the operating parameters, the candidate size parameters that do not meet the loop termination conditions are cross-mutated to obtain new initial size parameters, so as to ensure that size parameters with higher fitness values have a higher probability of being passed on to the next generation. Cross-over is the main method for generating new individuals. Basic genetic operations are used to continuously iterate and obtain new size parameters until the optimal solution is obtained.
[0104] As an example, the operating parameters may be the size of the population M = 200, the crossover probability p c =0.7, mutation probability p m =0.1 and the termination algebra T=50.
[0105] It is further explained that in each round of iteration, if it is determined that the candidate size parameter does not meet the loop termination condition, the penalty factor is factor updated to further improve the optimization efficiency; specifically: the penalty factor is factor updated according to the reduction coefficient to obtain a new penalty factor.
[0106] In one embodiment, an update function for the penalty factor may be constructed, and the update function is as follows:
[0107] μ = cμ;
[0108] Among them, μ refers to the penalty factor, μ>0; c refers to the reduction coefficient, 0 <c<1。
[0109] S802, returning to the step of performing fitness analysis on the initial size parameter according to the reference volume corresponding to the initial size parameter according to the new initial size parameter to obtain the fitness value of the initial size parameter, until the candidate size parameter meets the loop termination condition.
[0110] The above-mentioned method for determining the volume of the coupled inductor performs multiple rounds of iterative analysis on the initial size parameters of the coupled inductor when the candidate size parameters do not meet the loop termination conditions, so as to screen the target size parameters from the initial size parameters, so as to obtain the minimum volume for the coupled inductor while 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 shown in FIG. 9 , when it is necessary to determine the minimum volume that satisfies the efficiency limit value of the coupled inductor corresponding converter, the following contents are included:
[0112] S901: Generate initial size parameters for the coupled inductor.
[0113] S902: Perform fitness analysis on the initial size parameter according to the reference volume corresponding to the initial size parameter to obtain a fitness value of the initial size parameter.
[0114] S903: Taking the initial size parameter with the largest fitness value as a candidate size parameter.
[0115] S904: constructing 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 constraint and equality constraint. 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: Use the candidate size parameter as the target size parameter.
[0118] S907, 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.
[0119] S908, cross-mutate the size parameters to obtain new initial size parameters and enter the next cycle.
[0120] S909, returning to the step of performing fitness analysis on the initial size parameter according to the reference volume corresponding to the initial size parameter according to the new initial size parameter to obtain the fitness value of the initial size parameter, until the candidate size parameter meets the loop termination condition.
[0121] It should be noted that the present application can provide a universal mathematical model of multi-phase stepped coupled inductors from three aspects: electrical characteristics, magnetic field characteristics, and overall losses. Then, based on the obtained mathematical model, a method for determining the volume of the coupled inductors is implemented to achieve dual optimization of the coupled inductor volume and converter efficiency.
[0122] Specifically, (1) when analyzing the electrical characteristics of multi-phase coupled inductors:
[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 Nis 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 coupled inductor corresponding to the converter.
[0126] According to the voltage equation of the coupled inductor, the coupled inductor can be decoupled to obtain that in the jth operating mode, the decoupled inductance matrix L eqj is:
[0127] ;
[0128] where, 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 coupled inductor corresponding to the converter.
[0129] Since the multiphase coupled inductor structure adopted in this paper has asymmetry and a general expression for the inductor current ripple and the input current ripple cannot be obtained, a calculation method for both is given through recursive operation. For the ith-phase inductor, when n / N < d < (n + 1) / N, the inductor current ripple is Δi Li The expression is as follows:
[0130] ;
[0131] where,
[0132] ;
[0133] where, U o is the output voltage, d is the duty cycle, N is the number of phases of the coupled inductor corresponding to the converter, f s refers to the operating frequency, and 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 、Leqi,j And, L eqi,j-2N are equivalent inductances.
[0134] By analyzing the above two formulas, the expression of input current ripple is obtained as follows:
[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, and f s Refers to the operating frequency. n is used to characterize the voltage across multiple inductors that is equal to the input voltage U i The amount of inductance; L eqk,m is the equivalent inductance, Δi ti is the increment of input current at time i, Δi tj is the increment of input current at time j.
[0138] (2) When analyzing the magnetic field characteristics of multi-phase coupled inductors:
[0139] When designing coupled inductors, it is necessary to consider the maximum magnetic flux density, avoid core saturation, and also consider reducing core losses to improve converter efficiency. Therefore, flux analysis is of great significance to the design of coupled inductors.
[0140] According to Kirchhoff's law of magnetic circuit, the following formula can be obtained:
[0141] ;
[0142] Among them, Φ x is the magnetic flux matrix, G L is the conductivity matrix, i x is the current matrix, F x is the magnetomotive force matrix, 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, and R3 is the magnetic resistance of the middle column.
[0143] in,
[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 magnetic resistance of the side column, R2 is the magnetic resistance of the beam, and R3 is the magnetic resistance of the middle column; F1 is the magnetic motive force of the branch corresponding to the first phase inductor, F2 is the magnetic motive force of the branch corresponding to the second phase inductor, and F Nis the magnetomotive force of the branch corresponding to the Nth phase inductor, and N is the phase number of the converter corresponding to the coupled inductor. The connection relationship between R1, R2 and R3 can refer to the DC flux reluctance model shown in Figure 10 and the AC flux reluctance model shown in Figure 11; in Figures 10 and 11, 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 DC magnetic flux of the side column; Φ b is the DC magnetic flux of the beam; 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, and R3 is the magnetic resistance of the middle column.
[0146] By analyzing the above two formulas, the expression of DC magnetic flux is obtained as follows:
[0147] ;
[0148] Among them, Φ x is the magnetic flux matrix, G L is the conductivity matrix, 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, i x is the current matrix, and R3 is the middle column magnetic resistance.
[0149] The AC magnetic flux of the center 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 winding turns corresponding to the initial size parameters or the number of winding turns corresponding to the target size parameters, f s Refers to the operating frequency.
[0152] Using the superposition theorem, we can get the side column AC magnetic flux ΔΦ o and the beam AC flux ΔΦ b In the design of coupled inductors, it is necessary to avoid core saturation. Here, the maximum magnetic flux density of the middle column and the side column can be considered. According to the previous calculation, 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 in the middle column, ΔΦ c is the middle column AC magnetic flux, 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 side column AC magnetic flux, ΔΦ c is the AC magnetic flux of the middle column, 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 column length corresponding to the initial size parameters or the side column length corresponding to the target size parameters, r2 is the middle column length corresponding to the initial size parameters or the middle column length corresponding to the target size parameters.
[0155] (3) When analyzing converter efficiency:
[0156] The losses of the interleaved parallel Boost converter mainly include MOSFET losses P S and inductor loss P L , where the inductor loss includes the core iron loss and the winding copper loss. From this, the efficiency calculation formula of the staggered parallel Boost converter can be obtained as follows;
[0157] ;
[0158] η refers to the efficiency of the interleaved parallel Boost converter; P S Refers to MOSFET loss; P L refers to the inductor loss; and, P in =U in I in , U in is the input voltage, I in is the input current, P in is the input power.
[0159] In summary, it can be seen that the multi-objective optimization of converter efficiency and coupled inductor power density is essentially a numerical optimization problem. The objective function and constraints are as follows:
[0160] ;
[0161] Among them, 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, η min It is the efficiency limit value of the converter corresponding to the coupled inductor.
[0162] Therefore, when determining the minimum volume that meets the efficiency limit value of the converter corresponding to the coupled inductor, the present application will first perform structural optimization based on the mathematical model of the coupled inductor to determine the proportional relationship between the core thickness, the width of the core side column and the core center column, as well as the size of the core side column air gap; then, the coupled inductor is globally optimized using a method that combines a genetic algorithm and a penalty function to determine the minimum volume that meets the efficiency limit value of the converter corresponding to the coupled inductor.
[0163] The above-mentioned method for determining the volume of the coupled inductor performs fitness analysis on the initial size parameters of the coupled inductor to obtain the fitness value of the initial size parameters; and selects 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; and then uses 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, in the process of determining the target size parameters, the application will perform multiple rounds of cyclic iterative analysis 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 select the target size parameters 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.
[0164] It should be understood that, although the steps in the flowcharts involved in the above embodiments are displayed in sequence according to the indication of the arrows, these steps are not necessarily executed in sequence according to the order indicated by the arrows. Unless there is a clear explanation in this article, the execution of these steps is not strictly limited in order, 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, and these steps or stages are not necessarily executed at the same time, but can be executed at different times, and the execution order of these steps or stages is not necessarily carried out in sequence, but can be executed in turn or alternately with other steps or at least a part of the steps or stages in other steps.
[0165] The embodiment of the present application also provides a coupled inductor volume determination device for implementing the coupled inductor volume determination method involved above. The implementation solution provided by the device to solve the problem is similar to the implementation solution recorded in the above method, so the specific limitations of one or more coupled inductor volume determination device embodiments provided below can refer to the limitations of the coupled inductor volume determination method above, and will not be repeated here.
[0166] As shown in FIG. 12 , this embodiment further provides a device for determining the volume of a coupled inductor, including: a generating module 10 , an analyzing module 20 , a screening module 30 and a determining module 40 .
[0167] The generating module 10 is used to generate initial size parameters for the coupled inductor.
[0168] The analysis module 20 is used to perform fitness analysis on the initial size parameter according to the 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.
[0169] The screening module 30 is used to 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 coupled inductor corresponding converter; wherein the efficiency limit value is the preset efficiency of the coupled inductor corresponding converter at rated power.
[0170] The determination module 40 is used 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.
[0171] Preferably, the initial size parameter with the largest fitness value is used as the candidate size parameter; based on the efficiency limit value of the converter corresponding to the coupled inductor, it is verified whether 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.
[0172] In one embodiment, the penalty value corresponding to the candidate size parameter is determined 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 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. The penalty value is used to characterize the degree to which the candidate size parameter violates the constraint condition; the constraint condition includes an inequality constraint and an equality constraint.
[0173] In one embodiment, 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 conditions for the value range of the coupled inductor size parameter; the equality constraint is used to characterize the equality constraint conditions for the efficiency limit value of the converter; and according to the preset penalty factor, the inequality constraint and the equality constraint, the penalty value corresponding to the candidate size parameter is determined.
[0174] In one embodiment, 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 parameters, the step of returning to 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 is performed until the candidate size parameters meet the loop termination condition.
[0175] Preferably, the penalty factor is updated 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 selects the target size parameter from the initial size parameter according to the fitness value of the initial size parameter and the efficiency limit value of the converter corresponding to the coupled inductor; and then uses 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. According to the above content, it can be known that in the process of determining the target size parameter, the application will perform multiple rounds of cyclic iterative analysis 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 select the target size parameter from the initial size parameter, 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.
[0177] Each module in the above-mentioned coupled inductor volume determination device can be implemented in whole or in part by software, hardware, or a combination thereof. Each of the above-mentioned modules can be embedded in or independent of a processor in a computer device in the form of hardware, or can be stored in a memory in a computer device in the form of software, so that the processor can call and execute operations corresponding to each of the above modules.
[0178] In one embodiment, a computer device is provided, which may be a terminal, and its internal structure diagram may be shown in FIG13. The computer device includes a processor, a memory, an input / output interface, a communication interface, a display unit, and an input device. The processor, the memory, and the input / output interface are connected via a system bus, and the communication interface, the display unit, and the input device are connected to the system bus via the input / output interface. 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 an external device. The communication interface of the computer device is used to communicate with an external terminal in a wired or wireless manner, and the wireless manner can be implemented through WIFI, a mobile cellular network, NFC (near field communication) or other technologies. When the computer program is executed by the processor, a method for determining the volume of a coupled inductor is implemented. Those skilled in the art will understand that the structure shown in FIG. 13 is merely a block diagram of a partial structure related to the scheme of the present application, and does not constitute a limitation on the computer device to which the scheme of the present application is applied. The specific computer device may include more or fewer components than shown in the figure, or combine certain components, or have a different arrangement of components.
[0179] An embodiment of the present application also provides a computer device, including a memory and a processor, wherein a computer program is stored in the memory, and the processor implements the following steps when executing the computer program: generating initial size parameters for a coupled inductor; performing a fitness analysis on the initial size parameters according to a reference volume corresponding to the initial size parameters to obtain a fitness value of the initial size parameters; wherein the fitness value is negatively correlated with the reference volume corresponding to the initial size parameters; selecting a target size parameter from the initial size parameters according to the fitness value of the initial size parameter and an efficiency limit value of a converter corresponding to the coupled inductor; wherein the efficiency limit value is a preset efficiency of the converter corresponding to the coupled inductor at rated power; and using 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.
[0180] In one embodiment, when the processor executes the computer program, the following steps are also implemented: 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 based on 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.
[0181] In one embodiment, when the processor executes the computer program, the following steps are also implemented: determining the penalty value corresponding to the candidate size parameter based on 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 condition; 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.
[0182] In one embodiment, when the processor executes the computer program, the following steps are also implemented: 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; and according to the preset penalty factor, the inequality constraint and the equality constraint, the penalty value corresponding to the candidate size parameter is determined.
[0183] In one embodiment, when the processor executes the computer program, the following steps are also implemented: 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 parameters, the execution returns to 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, until the candidate size parameters meet the loop termination condition.
[0184] In one embodiment, when the processor executes the computer program, the following steps are further implemented: the penalty factor is updated according to the reduction coefficient to obtain a new penalty factor.
[0185] The embodiment of the present application also provides a computer-readable storage medium having a computer program stored thereon, and when the computer program is executed by a processor, the following steps are implemented: generating initial size parameters for a coupled inductor; performing a fitness analysis on the initial size parameters according to a reference volume corresponding to the initial size parameters to obtain a fitness value of the initial size parameters; wherein the fitness value is negatively correlated with the reference volume corresponding to the initial size parameters; selecting a target size parameter from the initial size parameters according to the fitness value of the initial size parameter and an efficiency limit value of a converter corresponding to the coupled inductor; wherein the efficiency limit value is a preset efficiency of the converter corresponding to the coupled inductor at rated power; and using 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.
[0186] In one embodiment, when the computer program is executed by the processor, the following steps are also implemented: 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 based on 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.
[0187] In one embodiment, when the computer program is executed by the processor, the following steps are also implemented: determining the penalty value corresponding to the candidate size parameter based on 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 condition; 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.
[0188] In one embodiment, when the computer program is executed by the processor, the following steps are also implemented: 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; and according to the preset penalty factor, the inequality constraint and the equality constraint, the penalty value corresponding to the candidate size parameter is determined.
[0189] In one embodiment, when the computer program is executed by the processor, the following steps are also implemented: 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 parameters, the execution returns to 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, until the candidate size parameters meet the loop termination condition.
[0190] In one embodiment, when the computer program is executed by the processor, the following steps are further implemented: the penalty factor is updated according to the reduction coefficient to obtain a new penalty factor.
[0191] The embodiment of the present application also provides a computer program product, including a computer program, which implements the following steps when executed by a processor: generating initial size parameters for a coupled inductor; performing a fitness analysis on the initial size parameters according to a reference volume corresponding to the initial size parameters to obtain a fitness value of the initial size parameters; wherein the fitness value is negatively correlated with the reference volume corresponding to the initial size parameters; screening a target size parameter from the initial size parameters according to the fitness value of the initial size parameter and an efficiency limit value of a converter corresponding to the coupled inductor; wherein the efficiency limit value is a preset efficiency of the converter corresponding to the coupled inductor at rated power; and using 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.
[0192] In one embodiment, when the computer program is executed by the processor, the following steps are also implemented: 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 based on 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.
[0193] In one embodiment, when the computer program is executed by the processor, the following steps are also implemented: determining the penalty value corresponding to the candidate size parameter based on 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 condition; 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.
[0194] In one embodiment, when the computer program is executed by the processor, the following steps are also implemented: 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; and according to the preset penalty factor, the inequality constraint and the equality constraint, the penalty value corresponding to the candidate size parameter is determined.
[0195] In one embodiment, when the computer program is executed by the processor, the following steps are also implemented: 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 parameters, the execution returns to 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, until the candidate size parameters meet the loop termination condition.
[0196] In one embodiment, when the computer program is executed by the processor, the following steps are further implemented: the penalty factor is updated according to the reduction coefficient to obtain a new penalty factor.
[0197] The above embodiments only express several implementation methods of the present application, and the descriptions thereof are relatively specific and detailed, but they cannot be understood as limiting the scope of the present application. It should be pointed out that, for a person of ordinary skill in the art, several variations and improvements can be made without departing from the concept of the present application, 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 attached 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; According to the fitness value of the initial size parameter and the efficiency limit value of the converter corresponding to the coupled inductor, a target size parameter is selected from the initial size parameter; wherein the efficiency limit value is a preset efficiency of the converter corresponding to the coupled inductor at rated power; 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: Among them, V L It refers to the reference volume corresponding to the initial size parameter or the reference volume corresponding to the target size parameter; 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 column length corresponding to the initial size parameter or the side column length corresponding to the target size parameter, r2 is the middle column length corresponding to the initial size parameter or the middle column length corresponding to the target size parameter, and the width of the flat copper wire is d w , height is h w , the spacing of the windings 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; N is the number of phases of the converter corresponding to the coupled inductor.
2. The volume determination method according to claim 1, characterized in that: The method further comprises: selecting a target size parameter from the initial size parameter according to the fitness value of the initial size parameter and the efficiency limit value of the converter corresponding to the coupled inductor, comprising: Taking the initial size parameter with the largest fitness value as a 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, the candidate size parameter is used as the target size parameter.
3. The volume determination method according to claim 2, characterized in that: 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: Determine 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 condition; 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; The penalty value corresponding to the candidate size parameter is determined by a penalty function, as shown below: in, is the penalty value; μ refers to the penalty factor, μ>0; c i (x) The corresponding inequality constraint; c j (x) corresponds to the equality constraint.
4. The volume determination method according to claim 3, characterized in that: Determining the penalty value corresponding to the candidate size parameter according to the efficiency limit value of the converter corresponding to the coupled inductor includes: According to the efficiency limit value of the converter corresponding to the coupled inductor, the inequality constraint and the 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; and the equality constraint is used to characterize the equality constraint condition for the efficiency limit value of the converter; Determining a penalty value corresponding to the candidate size parameter according to a preset penalty factor, the inequality constraint and the equality constraint; The inequality constraint and the equality constraint are as follows: ; c i (x) The corresponding inequality constraint; c j (x) corresponds 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 proportional coefficient; f s Refers to the operating frequency; B max refers to the maximum magnetic flux density; r2 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; 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.
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, and obtain a fitness value of the initial size parameter; A screening module, configured to screen a target size parameter from the initial size parameter according to the fitness value of the initial size parameter and the efficiency limit value of the converter corresponding to the coupled inductor; 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: Among them, V L It refers to the reference volume corresponding to the initial size parameter or the reference volume corresponding to the target size parameter; 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 column length corresponding to the initial size parameter or the side column length corresponding to the target size parameter, r2 is the middle column length corresponding to the initial size parameter or the middle column length corresponding to the target size parameter, and the width of the flat copper wire is d w , height is h w , the spacing of the windings 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; N is the number of phases of the converter corresponding to the coupled inductor.
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.
Citation Information
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