Straight-line phase-shifting transformer core loss calculation method, system, device and terminal

CN115758610BActive Publication Date: 2026-08-18NAVAL UNIV OF ENG PLA
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Patent Information

Application Number
CN202211458052.4
Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
Filing Date
2022-11-16
Publication Date
2026-08-18
Estimated Expiration
2042-11-16

AI Technical Summary

Technical Problem

[0006](1)利用传统工程法计算铁心损耗时无法考虑铁心内磁密的分布不均匀、非正弦的问题

Benefits of technology

[0060]Based on the above technical solutions and the technical problems solved, the advantages and positive effects of the technical solution to be protected by this invention are as follows:

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Abstract

The application belongs to the technical field of transformers, and discloses a linear phase-shifting transformer core loss calculation method, system, device and terminal, which is based on a classical trinomial loss separation model, three loss coefficients are calculated by using a least square method; the influence of local hysteresis loop, magnetic field non-sine, tooth slot effect and skin effect on the loss model and the loss coefficient is analyzed, the static magnetic density characteristics of the linear phase-shifting transformer are obtained based on finite element simulation calculation; the tangential magnetic density and the radial magnetic density of each characteristic point are separated, and Fourier analysis is carried out, the fundamental wave magnetic density and each harmonic magnetic density are substituted into the improved loss separation model. The core loss of the linear phase-shifting transformer in the stable operation state can be accurately calculated, the calculation precision is greatly improved, which can provide a reference for the efficient operation of the transformer, and has important significance for the optimization design of the linear phase-shifting transformer body and the realization of the minimum loss control of the multiple superposition inverter system of the linear phase-shifting transformer.
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Description

Technical Field

[0001] This invention belongs to the field of transformer technology, and in particular relates to a method, system, equipment and terminal for calculating the core loss of a linear phase-shifting transformer. Background Technology

[0002] In recent years, the research and calculation of losses in linear phase-shifting transformers have attracted considerable attention from scholars both domestically and internationally. Losses significantly impact the efficiency, temperature rise, and other performance parameters of linear phase-shifting transformers, thus necessitating accurate loss calculations. Like traditional transformers, linear phase-shifting transformers consist of a core and windings. The magnitude of losses is a crucial reference indicator during design.

[0003] In practical applications, the efficiency of a linear phase-shifting transformer is closely related to its losses. The total loss of a linear phase-shifting transformer consists of winding losses and core losses. Winding losses can be directly modeled using the heat loss formula, while core losses are difficult to calculate due to their complex electromagnetic and nonlinear characteristics. Currently, the commonly used method for calculating the losses of ferromagnetic materials in engineering is the classic three-term loss separation calculation model. Based on the loss generation mechanism, core losses are divided into three parts: hysteresis loss, eddy current loss, and additional losses. Hysteresis loss is formed by the "friction" motion of magnetic domains during repeated magnetization of the core. Eddy current loss is caused by tiny eddy currents on the core surface and is related to the skin effect. Additional losses, also known as abnormal losses or aftereffect losses, are caused by the magnetization relaxation process or magnetic dispersion.

[0004] Currently, the main methods for analyzing and calculating the core loss of linear phase-shifting transformers include the engineering method, the finite element method, and the classical three-term loss separation method. Traditional engineering methods cannot account for the uneven and non-sinusoidal magnetic flux density distribution within the core. The finite element method can obtain accurate magnetic flux density characteristics and can account for the effects of factors such as LPST structure, magnetic flux density harmonics, and magnetic circuit saturation; however, the finite element method requires significant computational resources and is time-consuming. The classical three-term loss separation method has the advantages of simple and fast calculation, but because it uses many empirical formulas and approximations in the calculation process and does not consider the non-sinusoidal nature of the core magnetic flux density, the accuracy of the magnetic flux density calculation is insufficient, leading to inaccurate core loss calculations.

[0005] Based on the above analysis, the problems and shortcomings of the existing technology are as follows:

[0006] (1) When calculating core loss using traditional engineering methods, the uneven and non-sinusoidal distribution of magnetic flux density within the core cannot be taken into account.

[0007] (2) The classic three-term loss separation method uses empirical formulas and approximations in the calculation process, without considering the non-sinusoidal nature of the core magnetic flux density. The magnetic flux density calculation accuracy is insufficient, resulting in inaccurate core loss calculation.

[0008] (3) The finite element method can obtain accurate magnetic flux density characteristics and can take into account the effects of LPST structure, magnetic flux density harmonics, magnetic circuit saturation and other factors. However, it requires more computational resources and takes longer.

[0009] (4) In fact, the magnetic field at different positions of the iron core is different, and the magnetic field at the same position also changes over time. The calculation accuracy of the existing iron core loss calculation formula is not high enough. Summary of the Invention

[0010] To address the problems existing in the prior art, this invention provides a method, system, equipment, and terminal for calculating the core loss of a linear phase-shifting transformer.

[0011] This invention is implemented as follows: a method for calculating the core loss of a linear phase-shifting transformer. The method includes: calculating three loss coefficients based on the classical trinomial loss separation model using the least squares method; improving and correcting the loss model and loss coefficients by analyzing the effects of local hysteresis loops, non-sinusoidal magnetic fields, cogging effects, and skin effects; obtaining the static magnetic flux density characteristics of the linear phase-shifting transformer based on finite element simulation; separating the tangential and radial magnetic flux density at each characteristic point and performing Fourier analysis; and substituting the fundamental magnetic flux density and each harmonic magnetic flux density into the improved loss separation model.

[0012] Furthermore, the method for calculating the core loss of a linear phase-shifting transformer includes the following steps:

[0013] Step 1: Construction of the improved linear phase-shifting transformer core loss separation model;

[0014] Step 2: Iron loss calculation based on the fusion of finite element method and improved loss separation method.

[0015] Furthermore, the construction of the improved linear phase-shifting transformer core loss separation model in step one includes:

[0016] The classic three-term loss separation model calculates the loss per unit weight of ferromagnetic material under an ideal sinusoidal magnetic field:

[0017] ;

[0018] In the formula, Indicates hysteresis loss. This represents eddy current loss. Indicates additional losses. , and These are hysteresis loss, eddy current loss, and additional loss coefficient, respectively. The value of is 2.

[0019] To solve for the loss coefficient of LPST, the loss separation model is analyzed as follows:

[0020] ;

[0021] but:

[0022] ;

[0023] right , The calculation uses the least squares method for fitting, and the calculation formula is:

[0024] ;

[0025] In the formula, The magnetic flux density amplitude is The corresponding iron loss at that time.

[0026] The loss coefficient in the classic formula for calculating eddy current loss for:

[0027] ;

[0028] In the formula, The electrical conductivity of silicon steel sheet DW465-50 For the density of silicon steel sheets, This refers to the thickness of the silicon steel sheet.

[0029] The fitted result Substituting into the loss coefficient calculation formula, we obtain the loss coefficient. , and They are respectively , and .

[0030] Furthermore, the construction of the improved linear phase-shifting transformer core loss separation model in step one also includes:

[0031] The magnetic flux density is decomposed into Fourier transform within the period using the principle of harmonic analysis, and the fundamental magnetic flux density loss and harmonic magnetic flux density loss are calculated separately. The classical Bertotti loss separation model is improved to obtain the iron loss separation model for calculating the harmonic magnetic field.

[0032] .

[0033] definition The ratio of all fluctuating magnetic flux density changes to the peak magnetic flux density within one period is expressed as:

[0034] ;

[0035] In the formula, This represents the maximum change in magnetic flux density at each local fluctuation.

[0036] Based on the loss caused by local small hysteresis loops, the comprehensive impact of local hysteresis loops on hysteresis loss, and the coefficients... The value is set to 0.65, therefore the correction factor for hysteresis loss is:

[0037] ;

[0038] Based on the loss caused by the eddy current field generated at different thicknesses of the LPST core material cross-section due to the skin effect, the eddy current loss coefficient is corrected:

[0039] ;

[0040] In the formula, , denoted as the average magnetic permeability of the material.

[0041] In summary, the revised iron loss separation model is as follows:

[0042] .

[0043] Furthermore, the construction of the improved linear phase-shifting transformer core loss separation model in step one also includes:

[0044] Orthogonal decomposition is performed on the magnetic flux density waveform at each point on the core to obtain radial and tangential magnetic flux density components; then, after removing the DC component from each magnetic flux density component, Fourier decomposition is performed to obtain an ideal sinusoidal magnetic flux density waveform, thus obtaining a model for calculating LPST iron loss.

[0045] ;

[0046] In the formula, and The tangential and radial magnetic flux densities are respectively in the first... The amplitude of the second harmonic component.

[0047] After obtaining the core loss density of each unit, the total core loss of LPST is obtained as follows:

[0048] ;

[0049] In the formula, The number of subdivided units, The area of ​​the triangular unit. The effective length of the iron core, The density of the ferromagnetic material.

[0050] Furthermore, the iron loss calculation in step two, based on the fusion of the finite element method and the improved loss separation method, includes:

[0051] A linear finite element simulation model was built using ANSYS software. The model was meshed and the magnetic field was calculated. An adaptive meshing principle was adopted for the two side windings and the internal air gap. The influence of the skin effect depth on the core was considered during meshing.

[0052] After the linear phase-shifting transformer model reaches steady state, the waveforms of magnetic flux density changes in each subdivided grid on the core are obtained. The waveforms after steady-state operation are sampled, and the radial and tangential magnetic flux density components are obtained through orthogonal decomposition. The harmonic components of the magnetic flux density are then calculated. After removing the DC component from each magnetic flux density component, Fourier decomposition is performed. The fundamental magnetic flux density and the tangential and radial magnetic flux densities of each harmonic calculated in the finite element software are substituted into the improved loss separation model to calculate the core loss of the linear phase-shifting transformer.

[0053] Another object of the present invention is to provide a linear phase-shifting transformer core loss calculation system that applies the aforementioned linear phase-shifting transformer core loss calculation method. The linear phase-shifting transformer core loss calculation system includes:

[0054] The model improvement module is used to calculate the loss coefficient based on the classic trinomial loss separation model using the least squares method; the loss separation model and loss coefficient are modified to obtain an improved loss separation model.

[0055] The magnetic flux density calculation module is used to build a linear finite element simulation model based on ANSYS software, and calculate the static magnetic flux density characteristics of the linear phase-shifting transformer based on finite element simulation and an improved loss separation model.

[0056] The core loss calculation module is used to separate the tangential and radial magnetic flux density at each characteristic point and perform Fourier analysis. The fundamental magnetic flux density and each harmonic magnetic flux density are substituted into the improved loss separation model to calculate the core loss.

[0057] Another object of the present invention is to provide a computer device, the computer device including a memory and a processor, the memory storing a computer program, and when the computer program is executed by the processor, causing the processor to perform the steps of the method for calculating the core loss of the linear phase-shifting transformer.

[0058] Another object of the present invention is to provide a computer-readable storage medium storing a computer program, which, when executed by a processor, causes the processor to perform the steps of the method for calculating the core loss of a linear phase-shifting transformer.

[0059] Another objective of this invention is to provide an information data processing terminal for implementing the aforementioned linear phase-shifting transformer core loss calculation system.

[0060] Based on the above technical solutions and the technical problems solved, the advantages and positive effects of the technical solution to be protected by this invention are as follows:

[0061] First, addressing the technical problems existing in the prior art and the difficulty of solving them, this paper closely analyzes, in conjunction with the technical solution to be protected by this invention and the results and data obtained during the research and development process, how the technical solution of this invention solves the technical problems, and the inventive technical effects brought about by solving these problems. The specific description is as follows:

[0062] To accurately calculate the core loss of a linear phase-shifting transformer, this invention, based on the classic three-term loss separation model, employs the least squares method to calculate three loss coefficients. It improves and corrects the loss model and coefficients by considering the effects of local hysteresis loops, non-sinusoidal magnetic fields, cogging effects, and skin effects. Based on finite element simulation, the static magnetic flux density characteristics of the linear phase-shifting transformer are obtained. The tangential and radial magnetic flux densities at each characteristic point are separated, and Fourier analysis is performed. The fundamental and harmonic magnetic flux densities are then substituted into the improved loss separation model. This novel method not only accurately calculates the core loss of a linear phase-shifting transformer but also reduces the calculation time.

[0063] This invention also corrects the hysteresis loss, eddy current loss, and additional loss in the improved core loss separation model. Compared with engineering methods and classical loss separation models, the improved loss separation model provided by this invention is closer to the simulation results, with an error of only 0.448%. Therefore, it can be proven that the magnetic field calculated based on the time-stepping finite element method provided by this invention, and the calculated magnetic flux density substituted into the improved loss separation model, can accurately obtain the core loss of a linear phase-shifting transformer.

[0064] Second, considering the technical solution as a whole or from a product perspective, the technical effects and advantages of the technical solution to be protected by this invention are specifically described as follows:

[0065] To address the shortcomings and deficiencies in current methods for calculating the core loss of linear phase-shifting transformers, this invention provides a novel calculation method that can accurately calculate the core loss of linear phase-shifting transformers under stable operating conditions. Compared with existing engineering methods, the calculation accuracy is greatly improved. The calculation of the core loss of linear phase-shifting transformers can provide a reference for their efficient operation and is of great significance for the optimized design of the linear phase-shifting transformer body and the achievement of minimum loss control in multi-superimposed inverter systems of linear phase-shifting transformers.

[0066] Third, as supplementary evidence of the inventive step of the claims of this invention, it is also reflected in the following important aspects:

[0067] (1) The expected benefits and commercial value of the technical solution of this invention after transformation are as follows:

[0068] As an important component of linear phase-shifting transformers, the core has a high cost and manufacturing price. Accurate calculation of transformer core losses can effectively save costs and avoid excessive energy and resource consumption.

[0069] (2) The technical solution of this invention fills a technical gap in the industry both domestically and internationally:

[0070] There have been no reports in China on the calculation of core losses of linear phase-shifting transformers. This calculation method fills the gap in domestic research and calculation of core losses of linear phase-shifting transformers, achieving a breakthrough from scratch.

[0071] (3) The technical solution of the present invention solves a technical problem that people have long wanted to solve but have never been able to solve successfully:

[0072] The magnetic field distribution on the core of a linear phase-shifting transformer is quite complex. There has always been a desire to accurately calculate the core loss of such transformers, but empirical formulas have low accuracy and rely heavily on empirical coefficients. The improved calculation algorithm of this invention can accurately calculate the core loss of a linear phase-shifting transformer while maintaining minimal error.

[0073] (4) The technical solution of the present invention overcomes technical bias:

[0074] This calculation method can take into account the effects of local hysteresis loops in the core, non-sinusoidal magnetic field, cogging effect, and skin effect, overcoming the technical bias of complex core magnetic field. It can accurately analyze the magnetic flux density of each region of a linear phase-shifting transformer. Attached Figure Description

[0075] To more clearly illustrate the technical solutions of the embodiments of the present invention, the drawings used in the embodiments of the present invention will be briefly introduced below. Obviously, the drawings described below are only some embodiments of the present invention. For those skilled in the art, other drawings can be obtained based on these drawings without creative effort.

[0076] Figure 1 This is a flowchart of the method for calculating the core loss of a linear phase-shifting transformer provided in an embodiment of the present invention;

[0077] Figure 2 This is a schematic diagram of the method for calculating the core loss of a linear phase-shifting transformer provided in an embodiment of the present invention.

[0078] Figure 3 This is a simplified model diagram of a linear phase-shifting transformer provided in an embodiment of the present invention;

[0079] Figure 4This is the iron loss curve of silicon steel sheet DW465-50 provided in the embodiment of the present invention;

[0080] Figure 5 This is a schematic diagram of the fluctuation of the magnetic flux density waveform provided in an embodiment of the present invention;

[0081] Figure 6 This is a typical position on the primary side of the core of a linear phase-shifting transformer provided in this embodiment of the invention;

[0082] Figure 7 This is a tangential and radial magnetic flux density distribution diagram at various points on the primary side provided in an embodiment of the present invention;

[0083] Figure 8 This is a graph showing the relationship between magnetic flux density and core loss provided in an embodiment of the present invention. Detailed Implementation

[0084] To make the objectives, technical solutions, and advantages of this invention clearer, the invention will be further described in detail below with reference to embodiments. It should be understood that the specific embodiments described herein are merely illustrative and not intended to limit the invention.

[0085] To address the problems existing in the prior art, this invention provides a method, system, equipment, and terminal for calculating the core loss of a linear phase-shifting transformer. The invention will be described in detail below with reference to the accompanying drawings.

[0086] To enable those skilled in the art to fully understand how the present invention is specifically implemented, this section provides an explanatory description of the embodiments that expand upon the technical solutions of the claims.

[0087] like Figure 1 As shown, the method for calculating the core loss of a linear phase-shifting transformer provided in this embodiment of the invention includes the following steps:

[0088] S101, based on the classic trinomial loss separation model, uses the least squares method to calculate the loss coefficient; the loss separation model and loss coefficient are modified to obtain an improved loss separation model;

[0089] S102, a linear finite element simulation model was built based on ANSYS software, and the static magnetic flux density characteristics of the linear phase-shifting transformer were calculated based on finite element simulation and an improved loss separation model.

[0090] S103, separate the tangential and radial magnetic flux density of each characteristic point and perform Fourier analysis. Substitute the fundamental magnetic flux density and each harmonic magnetic flux density into the improved loss separation model to calculate the core loss.

[0091] The design of a linear phase-shifting transformer is based on a linear induction motor, and its structural principle can be equivalent to that of a linear induction motor with a slip of 1. The primary and secondary cores are completely symmetrical and relatively stationary, and the air gap length can be adjusted according to design requirements. The primary winding of the linear phase-shifting transformer receives a three-phase sinusoidal alternating current, inducing a traveling wave magnetic field with a velocity of V in the air gap. The secondary winding outputs a three-phase alternating current through this traveling wave magnetic field. Due to factors such as asymmetrical winding distribution, end-effect distortion of the air gap magnetic field, and magnetic circuit disconnection, harmonic magnetic fields exist in the core, resulting in a non-ideal sinusoidal magnetic flux density waveform.

[0092] The simplified calculation model for iron loss in engineering does not take into account the uneven magnetic flux distribution within the core in actual conditions. The classic three-term loss separation model can only calculate the loss per unit weight of ferromagnetic material under ideal sinusoidal magnetic field conditions. Considering that the magnetic field distribution on the core of a linear phase-shifting transformer is not ideally sinusoidal in reality, the core magnetic field is affected by local small hysteresis loops, and there are structural issues such as cogging and skin effects, this invention proposes an improved three-term loss separation model to correct the above problems, resulting in an improved linear phase-shifting transformer core loss separation model.

[0093] This invention provides an improved core loss separation model, correcting for hysteresis loss, eddy current loss, and additional loss. Compared to engineering methods and classical loss separation models, the improved model closely approximates simulation results, with an error of only 0.448%. Therefore, it can be demonstrated that this invention, based on the time-stepping finite element method for calculating the magnetic field, allows for accurate determination of the core loss of a linear phase-shifting transformer by substituting the calculated magnetic flux density into the improved loss separation model. The schematic diagram for calculating core loss is shown below. Figure 2 As shown.

[0094] A simplified model diagram of the linear phase-shifting transformer provided in this embodiment of the invention is shown below. Figure 3 As shown.

[0095] The classic trinomial loss separation model can calculate the loss per unit weight of ferromagnetic material under ideal sinusoidal magnetic field conditions. for.

[0096] ( )

[0097] Equation (1 (in the middle)) Indicates hysteresis loss. This represents eddy current loss. Indicates additional losses. , and These are hysteresis loss, eddy current loss, and additional loss coefficient, respectively. For operating frequency, The magnitude of the magnetic flux density. The usual value is 2.

[0098] To solve for the loss coefficient of LPST, the loss separation model is analyzed as follows:

[0099] (2)

[0100] Then we have:

[0101] (3)

[0102] right , The calculation uses the least squares method for fitting, and the formula is:

[0103] (4)

[0104] In the formula, The magnetic flux density amplitude is The corresponding iron loss at that time.

[0105] The loss coefficient in the classic formula for calculating eddy current loss for:

[0106] (5)

[0107] In the formula, The electrical conductivity of silicon steel sheet DW465-50 The density of silicon steel sheets, The thickness is shown in the figure. The iron loss curve of the DW465-50 silicon steel sheet provided in this embodiment of the invention is shown below. Figure 4 As shown.

[0108] The above fitting results Substituting into equation (3), the loss coefficient can be obtained. , and They are respectively , and .

[0109] Substituting the obtained iron loss coefficients from the separation model into the fitting function, the relationship between the iron loss separation model curve and the original iron loss value is shown in the figure. Figure 4 The fitting results meet the actual requirements, proving that the obtained separation iron loss coefficient is quite ideal.

[0110] Due to the cogging effect, harmonic magnetic fields are generated inside the core of the LPST. In order to accurately calculate the core loss, the harmonic analysis principle is adopted to perform Fourier decomposition of the magnetic flux density within one cycle and calculate the fundamental magnetic flux density loss and harmonic magnetic flux density loss separately. Therefore, the classic Bertotti loss separation model is improved to obtain the iron loss separation model that takes into account the harmonic magnetic field as shown in equation (4).

[0111] (6)

[0112] Localized hysteresis loops within the iron core cause fluctuations in the magnetic flux density waveform. Considering the influence of these small localized hysteresis loops, corrections to the hysteresis loss are necessary. The fluctuations in the magnetic flux density waveform of the LPST iron core are as follows: Figure 5 As shown in the figure Peak value of magnetic flux density , , This represents the maximum change in local fluctuating magnetic flux density.

[0113] definition The ratio of all fluctuating magnetic flux density changes to the peak magnetic flux density within one period is expressed as:

[0114] (7)

[0115] In the formula, This represents the maximum change in magnetic flux density at each local fluctuation.

[0116] Considering the losses caused by local small hysteresis loops, the comprehensive influence coefficient of local hysteresis loops on hysteresis loss is... The value is typically taken as 0.65. Therefore, the correction factor for hysteresis loss is:

[0117] (8)

[0118] Considering the losses caused by the eddy current field generated by the skin effect at different thicknesses of the LPST core material cross-section, the eddy current loss coefficient is corrected as follows:

[0119] (9)

[0120] In the formula, , denoted as the average magnetic permeability of the material.

[0121] In summary, the revised iron loss separation model is as follows:

[0122] (10)

[0123] In reality, the magnetic field in the LPST core is not an ideal sinusoidal waveform. Therefore, for the magnetic flux density waveform at various points on the core, it is first orthogonally decomposed to obtain radial and tangential magnetic flux density components. Then, after removing the DC component from each magnetic flux density component, Fourier decomposition is performed to obtain an ideal sinusoidal magnetic flux density waveform. This yields a model that can accurately calculate the LPST iron loss.

[0124] (11)

[0125] and The tangential and radial magnetic flux densities are respectively in the first... The amplitude of the second harmonic component.

[0126] After obtaining the core loss density of each unit from the above formula, the total core loss of LPST can be obtained as follows:

[0127] (12)

[0128] In the formula, The number of subdivided units, The area of ​​the triangular unit. The effective length of the iron core, The density of the ferromagnetic material.

[0129] The selection of characteristic points of the primary core module of the linear phase-shifting transformer and the tangential and radial magnetic flux density distribution diagrams of each point provided in this embodiment of the invention are as follows: Figure 6 , 7 As shown.

[0130] The modified core loss separation model described above takes into account the changes in magnetic flux density in the time domain and can simultaneously account for the effects of harmonics and local hysteresis loops, thus exhibiting high accuracy.

[0131] The iron loss calculation method based on the fusion of the finite element method and the improved loss separation method provided in this embodiment of the invention is as follows:

[0132] Changes in the magnetic field on the iron core cause losses; magnetization patterns vary at the same location and differ significantly between different locations. This invention uses ANSYS software to build a linear finite element simulation model, performing mesh generation and magnetic field calculations. Since computational accuracy is directly related to mesh density, an adaptive meshing principle is adopted for the two side windings and the internal air gap, while ensuring necessary accuracy. The iron core is also meshed to account for the influence of the skin effect depth.

[0133] Once the linear phase-shifting transformer model reaches steady state, the waveforms of magnetic flux density changes across each subdivided grid on the core can be obtained. The waveforms after steady-state operation are sampled and first orthogonally decomposed to obtain the radial and tangential magnetic flux density components. The harmonic components of the magnetic flux density are then calculated. After removing the DC component from each magnetic flux density component, Fourier decomposition is performed. Finally, the fundamental magnetic flux density and the tangential and radial magnetic flux densities of each harmonic calculated in the finite element software are substituted into the improved loss separation model to calculate the accurate core loss of the linear phase-shifting transformer.

[0134] The linear phase-shifting transformer core loss calculation system provided in this embodiment of the invention includes:

[0135] The model improvement module is used to calculate the loss coefficient based on the classic trinomial loss separation model using the least squares method; the loss separation model and loss coefficient are modified to obtain an improved loss separation model.

[0136] The magnetic flux density calculation module is used to build a linear finite element simulation model based on ANSYS software, and calculate the static magnetic flux density characteristics of the linear phase-shifting transformer based on finite element simulation and an improved loss separation model.

[0137] The core loss calculation module is used to separate the tangential and radial magnetic flux density at each characteristic point and perform Fourier analysis. The fundamental magnetic flux density and each harmonic magnetic flux density are substituted into the improved loss separation model to calculate the core loss.

[0138] It should be noted that embodiments of the present invention can be implemented using hardware, software, or a combination of both. The hardware portion can be implemented using dedicated logic; the software portion can be stored in memory and executed by a suitable instruction execution system, such as a microprocessor or dedicated-design hardware. Those skilled in the art will understand that the above-described devices and methods can be implemented using computer-executable instructions and / or included in processor control code, for example, such code provided on a carrier medium such as a disk, CD, or DVD-ROM, a programmable memory such as read-only memory (firmware), or a data carrier such as an optical or electronic signal carrier. The devices and modules of the present invention can be implemented using hardware circuitry such as very large-scale integrated circuits or gate arrays, semiconductors such as logic chips, transistors, etc., or programmable hardware devices such as field-programmable gate arrays, programmable logic devices, etc., or using software executed by various types of processors, or using a combination of the above-described hardware circuitry and software, such as firmware.

[0139] The above description is merely a specific embodiment of the present invention, but the scope of protection of the present invention is not limited thereto. Any modifications, equivalent substitutions, and improvements made by those skilled in the art within the scope of the technology disclosed in the present invention, and within the spirit and principles of the present invention, should be covered within the scope of protection of the present invention.

Claims

1. A method for calculating the core loss of a linear phase-shifting transformer, characterized in that, include: Based on the classic trinomial loss separation model, the three loss coefficients are calculated using the least squares method. The effects of local hysteresis loops, non-sinusoidal magnetic field, cogging effect, and skin effect are analyzed to improve and correct the loss model and loss coefficient. The static magnetic flux density characteristics of the linear phase-shifting transformer are obtained based on finite element simulation. The tangential and radial magnetic flux density of each characteristic point are separated and Fourier analysis is performed. The fundamental magnetic flux density and each harmonic magnetic flux density are substituted into the improved loss separation model to calculate the core loss. The improved loss separation model is as follows: ; In the formula, Indicates hysteresis loss. This represents eddy current loss. Indicates additional losses. , and These are hysteresis loss, eddy current loss, and additional loss coefficient, respectively. This represents the hysteresis loss correction factor; This represents the eddy current loss correction factor. For operating frequency, and The tangential and radial magnetic flux densities are respectively in the first... The amplitude of the second harmonic component; K min B is the comprehensive influence coefficient of local hysteresis loop on hysteresis loss. p Peak value of magnetic flux density This represents the maximum change in magnetic flux density at each local fluctuation.

2. The method for calculating the core loss of a linear phase-shifting transformer as described in claim 1, characterized in that, The classic three-term loss separation model calculates the loss per unit weight of ferromagnetic material under an ideal sinusoidal magnetic field: ; In the formula, The value of is 2; This represents the amplitude of the magnetic flux density. To solve for the loss coefficient of LPST, the loss separation model is analyzed as follows: ; but: ; right , The calculation uses the least squares method for fitting, and the calculation formula is: ; In the formula, The magnetic flux density amplitude is Iron loss corresponding to the time; The loss coefficient in the classic formula for calculating eddy current loss for: ; In the formula, The electrical conductivity of silicon steel sheet DW465-50 For the density of silicon steel sheets, For the thickness of silicon steel sheets; The fitted result Substituting into the loss coefficient calculation formula, we obtain the loss coefficient. , and They are respectively , and .

3. The method for calculating the core loss of a linear phase-shifting transformer as described in claim 1, characterized in that, The magnetic flux density is decomposed into Fourier transform within the period using the harmonic analysis principle, and the fundamental magnetic flux density loss and harmonic magnetic flux density loss are calculated separately. The classical Bertotti loss separation model is improved to obtain the iron loss separation model for calculating the harmonic magnetic field. ; definition The ratio of all fluctuating magnetic flux density changes to the peak magnetic flux density within one period is expressed as: ; In the formula, This represents the maximum change in magnetic flux density at each local fluctuation point. Based on the loss caused by local small hysteresis loops, the comprehensive impact of local hysteresis loops on hysteresis loss, and the coefficients... The value is set to 0.65, therefore the correction factor for hysteresis loss is: ; Based on the loss caused by the eddy current field generated at different thicknesses of the LPST core material cross-section due to the skin effect, the eddy current loss coefficient is corrected: ; In the formula, , The average magnetic permeability of the material; The revised iron loss separation model is as follows: 。 4. The method for calculating the core loss of a linear phase-shifting transformer as described in claim 1, characterized in that, Orthogonal decomposition is performed on the magnetic flux density waveform at each point on the core to obtain radial and tangential magnetic flux density components; then, after removing the DC component from each magnetic flux density component, Fourier decomposition is performed to obtain an ideal sinusoidal magnetic flux density waveform, thus obtaining a model for calculating LPST iron loss. After obtaining the core loss density of each unit, the total core loss of LPST is obtained as follows: ; In the formula, The number of subdivided units, The area of ​​the triangular unit. The effective length of the iron core, The density of the ferromagnetic material.

5. The method for calculating the core loss of a linear phase-shifting transformer as described in claim 1, characterized in that, A linear finite element simulation model was built based on ANSYS software. The model was meshed and the magnetic field was calculated. An adaptive meshing principle was adopted for the two side windings and the internal air gap. The influence of the skin effect depth on the core was considered. After the linear phase-shifting transformer model reaches a steady state, the waveforms of the magnetic flux density changes of each subdivided grid on the core are obtained; After steady-state operation, the waveform is sampled, and the radial and tangential magnetic flux density components are obtained through orthogonal decomposition. The harmonic components of the magnetic flux density are then calculated. After removing the DC component from each magnetic flux density component, Fourier decomposition is performed. The fundamental magnetic flux density and the tangential and radial magnetic flux density of each harmonic calculated in the finite element software are substituted into the improved loss separation model to calculate the core loss of the linear phase-shifting transformer.

6. A linear phase-shifting transformer core loss calculation system applying the linear phase-shifting transformer core loss calculation method as described in any one of claims 1 to 5, characterized in that, The linear phase-shifting transformer core loss calculation system includes: The model improvement module is used to calculate the loss coefficient based on the classic trinomial loss separation model using the least squares method; the loss separation model and loss coefficient are modified to obtain an improved loss separation model. The magnetic flux density calculation module is used to build a linear finite element simulation model based on ANSYS software, and calculate the static magnetic flux density characteristics of the linear phase-shifting transformer based on finite element simulation and an improved loss separation model. The core loss calculation module is used to separate the tangential and radial magnetic flux density at each characteristic point and perform Fourier analysis. The fundamental magnetic flux density and each harmonic magnetic flux density are substituted into the improved loss separation model to calculate the core loss.

7. A computer device, characterized in that, The computer device includes a memory and a processor. The memory stores a computer program, which, when executed by the processor, causes the processor to perform the steps of the method for calculating the core loss of a linear phase-shifting transformer as described in any one of claims 1 to 5.

8. A computer-readable storage medium storing a computer program, which, when executed by a processor, causes the processor to perform the steps of the method for calculating the core loss of a linear phase-shifting transformer as described in any one of claims 1 to 5.

9. An information data processing terminal, characterized in that, The information data processing terminal is used to implement the linear phase-shifting transformer core loss calculation system as described in claim 6.