CN118501564A

CN118501564A - Method and device for determining local maximum electric field intensity of high-frequency transformer

Info

Publication number: CN118501564A
Application number: CN202410054724.8A
Authority: CN
Inventors: 郑泽东; 程旭; 肖云昊; 陈建福; 李驰; 陈勇; 张黎; 赵晓燕; 杨锐雄; 裴星宇; 李建标; 吴宏远
Original assignee: Tsinghua University; Zhuhai Power Supply Bureau of Guangdong Power Grid Co Ltd
Current assignee: Tsinghua University; Zhuhai Power Supply Bureau of Guangdong Power Grid Co Ltd
Priority date: 2024-01-15
Filing date: 2024-01-15
Publication date: 2024-08-16

Abstract

The invention relates to the field of high-frequency transformers, and discloses a method and a device for determining local maximum electric field intensity of a high-frequency transformer, which can be used for engineering simplification of the high-frequency transformer with higher insulation requirements to obtain a transformer simplified model, setting a plurality of line charges on the transformer simplified model by using a mirror image method and a mirror image charge iteration mode, and determining the local maximum electric field intensity of the high-frequency transformer according to all the line charges. The invention provides a new determination mode aiming at the local maximum electric field intensity of the high-frequency transformer, and can effectively enrich the determination mode of the local maximum electric field intensity.

Description

Method and device for determining local maximum electric field intensity of high-frequency transformer

Technical Field

The invention relates to the technical field of high-frequency transformers, in particular to a method and a device for determining local maximum electric field intensity of a high-frequency transformer.

Background

In the application scenes of rail traction or auxiliary power supply systems and the like, the power electronic converter generally adopts a structure with input connected in series and output connected in parallel, and has higher requirements on the insulation of the high-frequency transformer.

In high frequency transformers, the limitation of the power density results in that the insulation distance cannot be too large. When the high-frequency transformer is in rated operation, whether the internal local maximum electric field intensity exceeds the insulation tolerance intensity of the insulating material can be used as a measurement standard of insulation reliability, so that the local maximum electric field intensity of the high-frequency transformer needs to be accurately determined. The related art mainly adopts a uniform electric field model to determine local maximum electric field intensity.

However, the determination method of the local maximum electric field strength in the related art is single.

Disclosure of Invention

The invention provides a method and a device for determining local maximum electric field intensity of a high-frequency transformer, which are used for solving the defect that the determination mode of the local maximum electric field intensity is single in the related technology, and effectively enriching the determination mode of the local maximum electric field intensity.

In a first aspect, the present invention provides a method for determining a local maximum electric field strength of a high frequency transformer, the method comprising:

When the potential of the magnetic core is equal to that of the first winding, and a potential difference exists between the magnetic core and the second winding, determining that the local maximum electric field intensity is positioned near one turn of winding closest to the magnetic yoke in the second winding; the first winding and the second winding are respectively a primary winding and a secondary winding, or the first winding and the second winding are respectively the secondary winding and the primary winding;

Simplifying the high-frequency transformer to generate a transformer simplified model; the transformer simplified model comprises a semi-open electrified cuboid and two electrified cylinders, wherein the two electrified cylinders are positioned in the semi-open electrified cuboid, the two electrified cylinders correspond to two turns of windings closest to the magnetic yoke in the second winding, and boundary potentials in the semi-open electrified cuboid are equal;

Setting a plurality of line charges based on the half-open charged cuboid, the two charged cylinders, a mirroring method and a mirror charge iterative mode in the transformer simplified model;

determining a local maximum electric field strength of the high frequency transformer based on the plurality of line charges that have been set.

In an alternative embodiment, the simplifying the high frequency transformer to generate a simplified transformer model includes:

Simplifying the second winding in the high-frequency transformer to generate a plurality of winding simplified models corresponding to the high-frequency transformer, wherein each winding simplified model at least comprises one turn of winding closest to the magnetic yoke, the magnetic core and the first winding in the second winding;

Finite element simulation is carried out on each winding simplified model, and a simulation result of the local maximum electric field intensity in each winding simplified model is determined;

determining a first winding simplified model from the plurality of winding simplified models according to the simulation result; the first winding simplified model comprises two turns of windings, the magnetic core and the first winding, wherein the two turns of windings are closest to the magnetic yoke, and the two turns of windings are closest to the magnetic yoke;

the transformer reduced model is generated based on the first winding reduced model.

In an alternative embodiment, said determining a first winding reduction model from said plurality of winding reduction models based on said simulation results comprises:

Determining simulation errors and simulation efficiencies corresponding to the simulation results;

And determining the first winding simplified model from the winding simplified models according to the simulation error and the simulation efficiency.

In an alternative embodiment, the generating the transformer reduced model based on the first winding reduced model includes:

Under the condition that the first winding is supposed to be uniformly and densely wound, the first winding in the first winding simplified model is equivalent to an equipotential surface, and a corresponding equivalent model is obtained;

Simplifying the equivalent model to generate a target simplified model; the target simplified model comprises a charged cuboid and two charged cylinders, wherein the charged cuboid corresponds to the equipotential surface, and the two charged cylinders are positioned in the charged cuboid;

simplifying at least one side of the electrified cuboid into an open boundary in the target simplified model to obtain a plurality of boundary simplified models;

Performing finite element simulation on the target simplified model and each boundary simplified model respectively to obtain a simulation result, and determining a first boundary simplified model in the plurality of boundary simplified models according to the simulation result, wherein the first boundary simplified model comprises a first half open charged cuboid and two charged cylinders, and the first half open charged cuboid is obtained by simplifying two sides, far away from the two-turn winding, of the charged cuboid into open boundaries;

the first half open charged cuboid is determined as the half open charged cuboid and the first boundary reduction model is determined as the transformer reduction model.

In an alternative embodiment, the two charged cylinders include a first charged cylinder and a second charged cylinder, and the setting a plurality of line charges based on the half-open charged cuboid, the two charged cylinders, a mirroring method, and a mirror charge iterative method in the transformer simplified model includes:

setting the boundary potential of the semi-open charged cuboid, the initial potential of the first charged cylinder and the second charged cylinder to 0 respectively, And

Generating three first mirror cylinders corresponding to the first charged cylinders by using a mirror image method, and generating three second mirror cylinders corresponding to the second charged cylinders; wherein the initial potentials of the first mirror cylinder and the second mirror cylinder are respectivelyAnd

And iteratively setting line charges in the first charged cylinder, the second charged cylinder, the first mirrored cylinder and the second mirrored cylinder by using a mirrored charge iteration mode until all the set line charges meet convergence conditions.

In an alternative embodiment, the iteratively setting line charges in the first charged cylinder, the second charged cylinder, the first mirrored cylinder, and the second mirrored cylinder using the mirrored charge iteration method until all the set line charges meet a convergence condition includes:

Setting a line charge at the centers of the first charged cylinder, the second charged cylinder, the first mirrored cylinder and the second mirrored cylinder, respectively, so that the surface potential of each cylinder is the corresponding initial potential;

Determining a first cylinder to be subjected to mirror image sensing; the first cylinder is one of the first charged cylinder, the second charged cylinder, the first mirrored cylinder, and the second mirrored cylinder;

Mirror line charge sensing is performed in the first cylinder by utilizing other cylinders so as to set a first line charge group in the first cylinder, wherein the first line charge group comprises a plurality of line charges;

Determining whether convergence conditions are met according to all the set line charges, if not, carrying out mirror line charge induction in the first cylinder by utilizing the line charges of the first line charge group respectively so as to set a second line charge group in the first cylinder, wherein the second line charge group comprises a plurality of line charges;

Determining whether convergence conditions are met according to all the set line charges, if not, carrying out mirror image line charge induction in the first cylinder by utilizing all the line charges of the second line charge group respectively until all the set line charges meet the convergence conditions;

the total induced potential generated by the line charges inside and outside the first cylinder on the surface of the first cylinder is equal everywhere, and the total induced potential generated by the line charges inside and outside the first cylinder obtained by a mirror image method on the surface of the first cylinder is 0.

In an alternative embodiment, the mirror line charge sensing with other cylinders in the first cylinder to set a first line charge group in the first cylinder includes:

mirror line charge induction is carried out in the first cylinder by utilizing other cylinders so as to set one mirror line charge and one mirror compensation line charge which correspond to the other cylinders in the first cylinder respectively;

Superposing the mirror compensation line charges respectively corresponding to the other cylinders into a target line charge;

Determining the mirror line charge and the target line charge respectively corresponding to the other cylinders as the first line charge group; wherein the first line charge group includes seven of the mirror line charges and the target line charges.

In an alternative embodiment, the convergence condition is that the absolute value of the difference between the electric potentials at each point of the surfaces of the first charged cylinder, the second charged cylinder, the first mirrored cylinder and the second mirrored cylinder and the corresponding initial electric potential does not exceed a preset threshold.

In an alternative embodiment, the determining the local maximum electric field strength of the high frequency transformer according to the set plurality of line charges includes:

determining a plurality of target points on the charged cylinder; the target point is a potential local maximum electric field intensity point;

respectively determining the electric field intensity of all the line charges on the first target point, and superposing to obtain target electric field intensity; wherein the first target point is one of the plurality of target points;

Determining the maximum electric field intensity from the target electric field intensities corresponding to all the first target points;

the maximum electric field strength is determined as a local maximum electric field strength of the high frequency transformer.

In a second aspect, the present invention provides a local maximum electric field strength determining apparatus for a high frequency transformer, the apparatus comprising:

A first determining unit configured to determine that the local maximum electric field intensity is located near a turn of a winding closest to a yoke in a second winding when a potential difference exists between a core and the first winding is equal; the first winding and the second winding are respectively a primary winding and a secondary winding, or the first winding and the second winding are respectively the secondary winding and the primary winding;

The generation unit is used for simplifying the high-frequency transformer and generating a transformer simplified model; the transformer simplified model comprises a semi-open electrified cuboid and two electrified cylinders, wherein the two electrified cylinders are positioned in the semi-open electrified cuboid, the two electrified cylinders correspond to two turns of windings closest to the magnetic yoke in the second winding, and boundary potentials in the semi-open electrified cuboid are equal;

a setting unit configured to set a plurality of line charges based on the half-open charged cuboid, the two charged cylinders, a mirroring method, and a mirror charge iterative manner in the transformer simplified model;

And a second determining unit for determining a local maximum electric field intensity of the high-frequency transformer according to the set plurality of line charges.

The method and the device for determining the local maximum electric field intensity of the high-frequency transformer can be used for engineering simplification of the high-frequency transformer with higher insulation requirements to obtain a transformer simplified model, a mirror image method and a mirror image charge iteration mode are used for setting a plurality of line charges on the transformer simplified model, and the local maximum electric field intensity of the high-frequency transformer is determined according to all the line charges. The invention provides a new determination mode aiming at the local maximum electric field intensity of the high-frequency transformer, and can effectively enrich the determination mode of the local maximum electric field intensity.

Drawings

In order to more clearly illustrate the invention or the technical solutions of the prior art, the following description will briefly explain the drawings used in the embodiments or the description of the prior art, and it is obvious that the drawings in the following description are some embodiments of the invention, and other drawings can be obtained according to the drawings without inventive effort for a person skilled in the art.

Fig. 1 is a flowchart of a method for determining local maximum electric field intensity of a high-frequency transformer according to an embodiment of the present invention;

FIG. 2 is a schematic diagram of a typical geometry of a high frequency transformer according to an embodiment of the present invention;

FIG. 3 is a schematic diagram of one of the transformer structures in finite element simulation according to an embodiment of the present invention;

FIG. 4 is a simplified schematic diagram of a local maximum electric field strength solution according to an embodiment of the present invention;

FIG. 5 is a diagram illustrating a second transformer structure in finite element simulation according to an embodiment of the present invention;

FIG. 6 is a third transformer structure in finite element simulation according to an embodiment of the present invention;

FIG. 7 is a diagram illustrating a fourth transformer structure in a finite element simulation according to an embodiment of the present invention;

FIG. 8 is a second simplified schematic diagram of a partial maximum electric field strength solution according to an embodiment of the present invention;

fig. 9 is a schematic diagram of solving the local maximum electric field intensity of a transformer based on the eight-column problem according to an embodiment of the present invention;

FIG. 10 is a schematic diagram of a local maximum electric field intensity correspondence point according to an embodiment of the present invention;

FIG. 11 is a second flowchart of a method for determining local maximum electric field strength of a high-frequency transformer according to an embodiment of the present invention;

FIG. 12 is a third flowchart of a method for determining local maximum electric field strength of a high-frequency transformer according to an embodiment of the present invention;

Fig. 13 is a schematic structural diagram of a local maximum electric field strength determining device of a high-frequency transformer according to an embodiment of the present invention;

fig. 14 is a schematic structural diagram of an electronic device according to an embodiment of the present invention.

Detailed Description

For the purpose of making the objects, technical solutions and advantages of the present invention more apparent, the technical solutions of the present invention will be clearly and completely described below with reference to the accompanying drawings, and it is apparent that the described embodiments are some embodiments of the present invention, not all embodiments. All other embodiments, which can be made by those skilled in the art based on the embodiments of the invention without making any inventive effort, are intended to be within the scope of the invention.

The method for determining the local maximum electric field strength of the high frequency transformer of the present invention is described below with reference to fig. 1 to 12.

As shown in fig. 1, the present embodiment proposes a method for determining a local maximum electric field strength of a first high-frequency transformer, which may include the steps of:

S101, when the potential of the magnetic core is equal to that of the first winding, and when a potential difference exists between the magnetic core and the second winding, determining that the local maximum electric field intensity is located near a turn of winding closest to the magnetic yoke in the second winding. The first winding and the second winding are respectively a primary winding and a secondary winding, or the first winding and the second winding are respectively a secondary winding and a primary winding.

It should be noted that the embodiment may be applied to electronic devices, such as a desktop computer, a tablet computer, a server, a mobile phone, and related power devices.

As shown in fig. 2, the high-frequency transformer of the present embodiment includes a magnetic core, a primary winding, and a secondary winding. The primary winding and the secondary winding are arranged through the core window. In fig. 2, cx is the width of the transformer core window, cy is the height of the transformer core window, d _cp is the distance between the primary winding and the upper and lower yokes of the transformer, d _cs is the distance between the secondary winding and the upper and lower yokes of the transformer, d _rp and d _rs are the diameters of the primary and secondary windings, respectively, and d _ins is the distance between the primary and secondary windings.

For a high-capacity high-frequency transformer with insulation requirement, the magnetic core and the primary winding or the secondary winding have equal potential, and potential differences exist between the windings and the magnetic core. The embodiment can acquire the potentials of the magnetic core, the primary winding and the secondary winding, determine whether the potential of the magnetic core is equal to the potential of the primary winding or the secondary winding according to the potentials of the magnetic core, the primary winding and the secondary winding, and determine whether potential differences exist between the windings and between the windings and the magnetic core.

Specifically, when the magnetic core and the primary winding have equal potential, a potential difference exists between the magnetic core and the secondary winding, and a potential difference exists between the primary winding and the secondary winding.

Specifically, when the magnetic core and the secondary winding are at the same potential, a potential difference exists between the magnetic core and the primary winding, and a potential difference exists between the secondary winding and the primary winding.

The first winding is one of a primary winding and a secondary winding, and the second winding is the other of the primary winding and the secondary winding. That is, when the first winding is a primary winding, the second winding is a secondary winding. When the first winding is a secondary winding, the second winding is a primary winding.

Without loss of generality, the present embodiment assumes that the primary winding and the core have equal potential, that there is a potential difference between the secondary winding and the primary winding, and that there is a potential difference between the secondary winding and the core, and accordingly the following description of the execution of the relevant steps will be given.

Since the secondary winding has a potential difference with the primary winding and the secondary winding with the magnetic core, as shown in fig. 3, the local maximum electric field intensity point of the high-frequency transformer is generally distributed at the secondary winding S _d closest to the yoke, and the local maximum electric field intensity near the secondary winding is related to the potential difference between the primary and secondary windings and the potential difference between the secondary winding and the magnetic core, and is also related to the induced charges of other secondary windings.

S102, simplifying the high-frequency transformer to generate a transformer simplified model. The transformer simplification model comprises a semi-open electrified cuboid and two electrified cylinders, wherein the two electrified cylinders are positioned in the semi-open electrified cuboid, the two electrified cylinders correspond to two windings closest to a magnetic yoke in a second winding, and boundary potentials in the semi-open electrified cuboid are equal.

Specifically, the embodiment can perform engineering simplification on the high-frequency transformer to generate a corresponding transformer simplified model. As shown in fig. 4, the half-open electrified cuboid can correspond to the magnetic core and the primary winding in the high-frequency transformer, the half-open electrified cuboid is an equipotential surface, and the two electrified cylinders can correspond to two turns of windings closest to the magnetic yoke in the secondary winding. Wherein dx and dy are smaller distances between the two charged cylinders and the left and right boundaries and the upper and lower boundaries of the cuboid respectively. Determining the local maximum electric field strength between shaped conductors to be only related to the absolute value of the potential differenceIn relation, therefore, without loss of generality, the cuboid boundary potential in FIG. 4 is set to 0, the potential of the charged cylinder is

S103, setting a plurality of line charges based on a half-open charged cuboid, two charged cylinders, a mirror image method and a mirror image charge iterative mode in a transformer simplified model.

Specifically, in this embodiment, after the simplified transformer model is obtained, a plurality of line charges may be set according to a half-open electrified cuboid, two electrified cylinders, a mirroring method, and a mirroring charge iterative manner.

S104, determining the local maximum electric field intensity of the high-frequency transformer according to the set plurality of line charges.

It will be appreciated that each line charge may generate an electric field, and that for any point on the two charged cylinders, the present embodiment may determine the strength of the electric field induced by each line charge at that point and superimpose the resulting target electric field strength. At this time, the embodiment can determine the target electric field intensity corresponding to each point on the two charged cylinders, and determine the maximum electric field intensity in the target electric field intensity corresponding to each point, where the maximum electric field intensity is the local maximum electric field intensity of the high-frequency transformer.

It should be noted that, in this embodiment, through performing effective engineering simplification on the high-frequency transformer, a transformer simplification model is obtained, and then the local maximum electric field intensity of the high-frequency transformer is solved based on the transformer simplification model, so that the determination efficiency of the electronic device on the local maximum electric field intensity can be improved under the condition that the solving precision, that is, the accuracy of the local maximum electric field intensity is effectively ensured, resources required to be consumed by the electronic device when the local maximum electric field intensity is solved are reduced, and the resource utilization rate of the electronic device is improved.

The method for determining the local maximum electric field intensity of the high-frequency transformer provided by the embodiment can be used for engineering simplification of the high-frequency transformer with higher insulation requirements to obtain a transformer simplified model, setting a plurality of line charges on the transformer simplified model by using a mirror image method and a mirror image charge iteration mode, and determining the local maximum electric field intensity of the high-frequency transformer according to all the line charges. The embodiment provides a new determination mode aiming at the local maximum electric field intensity of the high-frequency transformer, and can effectively enrich the determination mode of the local maximum electric field intensity.

Based on fig. 1, the present embodiment proposes a second method for determining a local maximum electric field strength of a high-frequency transformer, in which step S102 may include:

Simplifying a second winding in the high-frequency transformer to generate a plurality of winding simplified models corresponding to the high-frequency transformer, wherein each winding simplified model at least comprises one turn of winding, a magnetic core and a first winding, which are nearest to a magnetic yoke, in the second winding;

Finite element simulation is carried out on each winding simplified model respectively, and a simulation result of the local maximum electric field intensity in each winding simplified model is determined;

determining a first winding simplified model from the winding simplified models according to the simulation result; the first winding simplified model comprises two turns of windings, a magnetic core and a first winding, wherein the two turns of windings are closest to the magnetic yoke in the second winding;

a simplified transformer model is generated based on the simplified first winding model.

In an alternative embodiment, the determining the first winding simplified model from the plurality of winding simplified models according to the simulation result includes:

determining simulation errors and simulation efficiencies corresponding to simulation results;

a first winding reduction model is determined from the plurality of winding reduction models based on the simulation error and the simulation efficiency.

In an alternative embodiment, the generating the simplified transformer model based on the simplified first winding model includes:

Simplifying at least one side of a charged cuboid into an open boundary in a target simplified model to obtain a plurality of boundary simplified models;

Performing finite element simulation on the target simplified model and each boundary simplified model respectively to obtain a simulation result, determining a first boundary simplified model in a plurality of boundary simplified models according to the simulation result, wherein the first boundary simplified model comprises a first half open electrified cuboid and two electrified cylinders, and the first half open electrified cuboid is obtained by simplifying two sides, far away from two turns of windings, of the electrified cuboid into open boundaries;

the first half open charged cuboid is determined as a half open charged cuboid and the first boundary reduction model is determined as a transformer reduction model.

It should be noted that, in this embodiment, the influence of the induced charges at other windings on the local maximum electric field strength near the secondary winding closest to the yoke may be studied by using finite element simulation.

According to the finite element simulation result, the secondary winding of the transformer with the actual geometric structure can be simplified into two turns of windings close to the magnetic yoke, and then the average relative error of the simulation result of the local maximum electric field intensity is 1.9%. In order to reduce the computational complexity, the secondary winding of the transformer of the actual geometry is reduced to a two-turn winding close to the yoke. The primary winding of the transformer is assumed to be uniformly and densely wound, so that the transformer can be simplified into an equipotential surface, and the problem of local maximum electric field intensity is further simplified into the problem of solving the local maximum electric field intensity of two charged cylinders in a charged cuboid. And under the average error of the local maximum field intensity finite element simulation result of 0.95%, two sides of the electrified cuboid far away from the secondary side winding can be simplified into open boundaries. Finally, the embodiment can simplify the problem of solving the local maximum electric field intensity of the transformer with the actual geometric structure into the problem of solving the local maximum field intensity of the two charged cylinders in the half-open charged cuboid.

Specifically, the influence of the induced charges at other windings on the local maximum electric field intensity near S _d is studied by finite element simulation. According to the simulation results, the simulation average error of the local maximum electric field intensity of the structure shown in fig. 5 and the structure shown in fig. 3 is 0.93%, the simulation average error of the local maximum electric field intensity of the structure shown in fig. 6 (only the transformer structure of the secondary winding close to the two turns of the yoke is reserved) and the structure shown in fig. 3 (actual transformer geometry) is 1.9%, and the simulation average error of the local maximum electric field intensity of the structure shown in fig. 7 and the structure shown in fig. 3 is 7.15%. Considering comprehensive optimization of precision and efficiency, the problem of solving the local maximum electric field intensity under the actual transformer geometry is simplified into the problem of solving the local maximum electric field intensity under the structure shown in fig. 6.

In particular, the present embodiment may further simplify the problem of local maximum electric field strength. The primary winding is assumed to be uniformly densely wound and can be equivalently an equipotential surface. The problem of solving the local maximum electric field intensity of the transformer with the structure shown in fig. 6 can be further simplified into the problem of solving the local maximum electric field intensity of two charged cylinders in the charged rectangular parallelepiped shown in fig. 8. Wherein dx and dy are smaller distances between the two charged cylinders and the left and right boundaries and the upper and lower boundaries of the cuboid respectively. A total of 1000 sets of finite element electric field simulations were performed under the two structures shown in fig. 8. According to the simulation results, the average relative error of the local maximum electric field intensity of the structure shown in fig. 8 and the structure shown in fig. 4 is 0.95%. The problem of solving the local maximum electric field intensity of the transformer with the actual geometric structure can be further equivalent to the problem of solving the local maximum electric field intensity of the structure shown in fig. 4.

According to the method for determining the local maximum electric field intensity of the high-frequency transformer, engineering simplification can be carried out on the geometric structure of the high-frequency transformer according to the geometric structure and the potential distribution characteristics of the high-frequency transformer, and engineering simplification of the high-frequency transformer is effectively achieved, so that the determination efficiency of the electronic equipment on the local maximum electric field intensity can be improved under the condition that the solving precision, namely the accuracy of the local maximum electric field intensity, is effectively ensured, resources required to be consumed by the electronic equipment when the local maximum electric field intensity is solved are reduced, the resource utilization rate of the electronic equipment is improved, and the consideration of the calculation efficiency and the calculation precision is achieved.

Based on fig. 1, the present embodiment proposes a third method of determining the local maximum electric field strength of a high-frequency transformer, in which the two charged cylinders include a first charged cylinder and a second charged cylinder. At this time, step S103 may include:

The boundary potential of the semi-open charged cuboid, the initial potential of the first charged cylinder and the second charged cylinder are respectively set to 0, And

Generating three first mirror cylinders corresponding to the first charged cylinders by using a mirror image method, and generating three second mirror cylinders corresponding to the second charged cylinders; wherein the initial potential of the first mirror cylinder and the second mirror cylinder are respectivelyAnd

And setting line charges in the first charged cylinder, the second charged cylinder, the first mirrored cylinder and the second mirrored cylinder in an iterative manner by using the mirrored charges until all the set line charges meet convergence conditions.

In an alternative embodiment, the above-mentioned iterative manner of using the image charges iteratively sets the line charges in the first charged cylinder, the second charged cylinder, the first mirrored cylinder and the second mirrored cylinder until all the set line charges meet the convergence condition, including:

Setting a line charge at the centers of the first charged cylinder, the second charged cylinder, the first mirror cylinder and the second mirror cylinder respectively so that the surface potential of each cylinder is the corresponding initial potential;

Determining a first cylinder to be subjected to mirror image sensing; the first cylinder is one of a first charged cylinder, a second charged cylinder, a first mirrored cylinder and a second mirrored cylinder;

mirror line charge sensing is performed in the first cylinder by using other cylinders to set a first line charge group in the first cylinder, wherein the first line charge group comprises a plurality of line charges;

Determining whether convergence conditions are met according to all the set line charges, if not, carrying out mirror line charge induction in the first cylinder by utilizing each line charge of the first line charge group so as to set a second line charge group in the first cylinder, wherein the second line charge group comprises a plurality of line charges;

Determining whether convergence conditions are met according to all the set line charges, if not, carrying out mirror line charge induction in the first cylinder by utilizing each line charge of the second line charge group respectively until all the set line charges meet the convergence conditions;

In an alternative embodiment, the mirror line charge sensing in the first cylinder by using other cylinders to set a first line charge group in the first cylinder includes:

Mirror line charge induction is carried out in the first cylinder by utilizing other cylinders so as to set one mirror line charge and one mirror compensation line charge which correspond to the other cylinders respectively in the first cylinder;

Superposing the mirror image compensation line charges corresponding to the other cylinders respectively into a target line charge;

Determining the mirror line charges and target line charges corresponding to the other cylinders as a first line charge group; wherein the first line charge set includes seven mirror line charges and a target line charge.

In an alternative embodiment, the convergence condition is that the absolute value of the difference between the electric potentials of the respective points of the surfaces of the first charged cylinder, the second charged cylinder, the first mirrored cylinder and the second mirrored cylinder and the respective initial electric potentials does not exceed a preset threshold.

It should be noted that, as shown in fig. 9, the problem can be solved for the field intensity of two charged cylinders in the half-open charged rectangular body according to the mirror image method in electromagnetic field analysis, two equipotential sides are taken as coordinate axes, two charged cylinders can be respectively equivalent in other three quadrants, and the problem is equivalent to the field intensity solving problem of eight charged cylinders (including two original charged cylinders and six mirror image charged cylinders) in the quadrant of the original charged cylinder. In this embodiment, the line charges of the charged cylinder may be placed at the center of the circle, so that in order to ensure that the surface of the charged cylinder is an equipotential surface, each external line charge induces a mirror line charge in the cylinder. Meanwhile, in order to ensure that the total induced potential generated by the external line charge and the mirror line charge on the surface of the cylinder is 0, a compensation line charge needs to be arranged at the center of the cylinder. In this embodiment, it may be assumed that there is an initial line charge at the center of each of the eight charged cylinders, and according to the iterative method, mirror line charges and compensation line charges are induced in the cylinder 1, and further these mirror line charges and compensation line charges induce more mirror line charges and compensation line charges in the cylinders 2 to 8. The result of solving the problem of the field intensity of the two charged cylinders in the semi-open charged cuboid can be obtained by calculating the convergence condition that the errors of the surface potential and the initial potential of the two charged cylinders are smaller than a preset threshold delta.

Specifically, as shown in FIG. 9, the initial potentials of the true charged cylinders 1 (i.e., the first charged cylinder) and 2 (i.e., the second charged cylinder) are set to be respectively, without losing generality, in this embodimentAndAt this time, the mirror charged cylinders 3 and 5 have the potential ofThe mirror charged cylinders 4 and 6 have a potential ofThe mirror charged cylinder 7 has a potential ofThe mirror charged cylinder 8 has a potential ofIn fig. 9, d ₁ is the distance from the center of the charged cylinder 1 to the vertical axis, d ₂ is the distance from the center of the charged cylinder 1 to the horizontal axis, and d ₃ is the distance between the center of the charged cylinder 1 and the center of the charged cylinder 2. R ₀ is the radius of the circle of the charged cylinder.

In this embodiment, the electric field intensity of any point in space of the plurality of charged cylinders may be solved, which is equivalent to solving the electric field intensity of any point in space of countless line charges. Taking two charged cylinders as an example, the mirror line charges lambda ₁₁ and lambda ₂₁,λ₂₁ respectively at the center of the circle induce 1 mirror line charge lambda ₁₂ in the charged cylinder 1, and lambda ₁₁ and lambda ₁₂ respectively induce 2 mirror line charges in the charged cylinder 2, so that the number of the mirror line charges tends to be infinite in repeated iterations. When the iteration number is larger than a certain value, the surface potential of the charged cylinders 1 and 2 is extremely small from the initial potential value, and the charged cylinders can be regarded as iteration convergence. At this time, the present embodiment can solve the electric field at any point in space with a limited number of line charges.

The embodiment can solve the electric field intensity of a plurality of charged cylinders at any point in space based on a multiple iteration mirror method. The present embodiment can perform the equivalent of the charged cylinder with a plurality of line charges under the boundary condition that the surface potential of the charged cylinder is constant. First, the present embodiment can set the line charge λ ₁ at the center of the charged cylinder 1 in order to ensure that the initial potential of the surface of the charged cylinder 1 isSimilarly, the center of the charged cylinders 2 to 8 is also provided with line charges λ ₁, i=2, 3, …,8, respectively.

In the first iteration, taking the charged cylinder 1 as an example, λ ₂～λ₈ respectively induce mirror line charges λ _m in the charged cylinder 1, the distance of the mirror line charges from the center of the charged cylinder 1 is d'.

λ_m＝-λ_f；

Wherein lambda _f is the charge quantity of the external charge of the charging cylinder 1, and d is the distance between the external charge of the charging cylinder 1 and the center of the charging cylinder 1. In order to ensure that the sum of the induced potential of the external charges of the cylinder 1 and the mirror image induced line charges in the cylinder 1 on the surface of the charged cylinder 1 is 0, the compensation line charges lambda _c need to be disposed at the center of the charged cylinder 1.

Where d _f0 and d _mo are the distances of the mirror line charge and the charged cylinder 1 external line charge from the origin o, respectively. In the first iteration, the charged cylinders 2-8 sense 7 mirror line charges and 7 mirror compensation line charges in the charged cylinder 1, and because the positions of the mirror compensation line charges are overlapped and can be overlapped into 1 compensation line charge, 8 mirror line charges are sensed in the charged cylinder 1 in the first iteration, and similarly, 8 mirror line charges are sensed in the charged cylinders 2-8 respectively, and the total is 8× (7+1) line charges.

In the second iteration process, similarly, 56 line charges induced by the charged cylinders 2-8 in the first iteration sense 56 mirror line charges and 56 compensation line charges in the charged cylinder 1, and the compensation line charges can be overlapped to be 1, so 57 mirror line charges are sensed in the charged cylinder 1 in the second iteration, similarly, 8 mirror line charges are also respectively induced by the charged cylinders 2-8, and 8× (8× 7+1) line charges are sensed in total.

The n-th iteration induces (14 multiplied by 7 n-26)/9 line charges, and usually 4-5 iterations can reach convergence (the convergence condition is that the potential of each point on the surface of each charged cylinder is different from the initial potential by not more than a preset threshold delta).

It will be appreciated that the cylinder may be a charged cylinder or a mirrored cylinder, and the line charge may be a line charge disposed in the center of the cylinder, an induced mirrored line charge, or a compensated line charge.

Alternatively, the convergence condition may be iterated for a certain number of times, for example, 4 times or 5 times, which may be set by the skilled person according to the actual situation, which is not limited in this embodiment.

According to the method for determining the local maximum electric field intensity of the high-frequency transformer, which is provided by the embodiment, six mirror image cylinders corresponding to the two charged cylinders can be determined through a mirror image method, a plurality of line charges can be induced in each cylinder through a mirror image charge iteration mode, the electric field intensity of any point of the plurality of charged cylinders in space is solved, the electric field intensity of any point of countless mirror image line charges can be equivalently solved, engineering simplification of the geometric structure of the high-frequency transformer is effectively realized, therefore, the determination efficiency of the electronic equipment on the local maximum electric field intensity is improved, resources required to be consumed by the electronic equipment when the local maximum electric field intensity is solved are reduced, the resource utilization rate of the electronic equipment is improved, and both the calculation efficiency and the calculation precision are realized.

Based on fig. 1, the present embodiment proposes a fourth method for determining a local maximum electric field strength of a high-frequency transformer, in which step S104 may include:

respectively determining the electric field intensity of all the line charges on the first target point, and superposing to obtain target electric field intensity; wherein the first target point is one of a plurality of target points;

Determining the maximum electric field intensity in the target electric field intensities corresponding to all the first target points;

Specifically, in this embodiment, each target point may be used as the first target point, and the target electric field intensity corresponding to each target point may be determined.

It is to be understood that the present embodiment can obtain the electric field strength at any point given the charge amounts and coordinates of the respective line charges.

The local maximum electric field intensity points generally appear in six points a to f as shown in fig. 10, electric field intensity vectors induced by each induction line charge at each point are superimposed, and the maximum electric field intensity in the six points a to f is taken as the local maximum electric field intensity of the high-frequency transformer.

The method for determining the local maximum electric field intensity of the high-frequency transformer provided by the embodiment can determine a certain number of target points, namely potential local maximum electric field intensity points, calculate the electric field intensity of the target points, determine the local maximum electric field intensity of the transformer from the target electric field intensities of all the target points, effectively reduce the number of points needed to calculate the electric field intensity, further reduce the operation amount of electronic equipment, and improve the operation efficiency of the electronic equipment on the local maximum electric field intensity of the high-frequency transformer.

As shown in fig. 11, the present embodiment proposes a fifth method for determining a local maximum electric field strength of a high-frequency transformer, which may include:

S1101, according to the structure of the high-frequency transformer, the engineering of the winding part is simplified.

S1102, simplifying the problem of local electric field intensity after winding simplification into the problem of local maximum electric field intensity of a charged cylinder in a half-open charged cuboid.

S1103, according to a mirror image method in electromagnetic field analysis, the problem of local maximum electric field intensity of the charged cylinder in the semi-open charged cuboid is equivalent to the problem of local maximum electric field intensity of eight charged cylinders in the open boundary.

S1104, solving the local maximum electric field strength by using an image charge iteration method and taking the condition that the absolute value of the difference between the iteration solving potential and the initial potential does not exceed a certain designated constant as a convergence condition.

As shown in fig. 12, the present embodiment proposes a sixth local maximum electric field strength determination method of a high-frequency transformer, which may include:

And S1201, setting initial line charges at the circle centers of the charged cylinders 1-8.

S1202, calculating the charge quantity of the line charges and the compensation line charges induced by the mirror line charges of the charged cylinders 2-8 obtained by the previous iteration in the charged cylinder 1 and the position coordinates.

S1203, calculating the charge amounts and position coordinates of the line charges and the compensation charges induced in the charged cylinder 2 by the charged cylinder 1 and the 3-8 mirror line charges obtained by the previous iteration.

And S1204, obtaining the charge quantity and the position coordinates of the line charges and the compensation line charges induced in the charged cylinders 3-8 in the current round of iteration based on symmetry.

S1205, calculating the potentials of six points a to f, and judging whether the error between the potential of the corresponding point and the initial potential is smaller than delta. If yes, go to step S1206; if not, the process returns to step S1202.

S1206, solving the electric field intensities of points a to f based on the position coordinates and the electric charge amounts of all the mirror line charges, and determining the maximum value as the local maximum electric field intensity of the high-frequency transformer. Wherein points a to f comprise points a, b, c, d, e and f.

The local maximum electric field strength determining device of the high-frequency transformer provided by the invention is described below, and the local maximum electric field strength determining device of the high-frequency transformer described below and the local maximum electric field strength determining method of the high-frequency transformer described above can be referred to correspondingly with each other.

As shown in fig. 13, the present embodiment proposes a local maximum electric field strength determining apparatus of a high frequency transformer, the apparatus comprising:

a first determining unit 1301 for determining that the local maximum electric field intensity is located near a turn of the second winding closest to the yoke when there is a potential difference between the core and the second winding when the potential of the core and the first winding are equal; the first winding and the second winding are respectively a primary winding and a secondary winding, or the first winding and the second winding are respectively a secondary winding and a primary winding;

A generating unit 1302 for simplifying the high-frequency transformer to generate a transformer simplified model; the transformer simplified model comprises a semi-open electrified cuboid and two electrified cylinders, wherein the two electrified cylinders are positioned in the semi-open electrified cuboid, the two electrified cylinders correspond to two turns of windings closest to the magnetic yoke in the second winding, and boundary potentials in the semi-open electrified cuboid are equal;

a setting unit 1303 for setting a plurality of line charges based on a half-open charged cuboid, two charged cylinders, a mirroring method, and a mirror charge iterative manner in the transformer simplified model;

a second determining unit 1304 for determining a local maximum electric field strength of the high frequency transformer according to the set plurality of line charges.

Optionally, the generating unit 1302 is further configured to:

Optionally, the two charged cylinders include a first charged cylinder and a second charged cylinder. The setting unit 1303 is further configured to:

Optionally, the setting unit 1303 is further configured to:

Optionally, the convergence condition is that the absolute value of the difference between the electric potentials of the surface points of the first charged cylinder, the second charged cylinder, the first mirrored cylinder and the second mirrored cylinder and the corresponding initial electric potentials does not exceed a preset threshold.

Optionally, the second determining unit 1304 is further configured to:

Note that, the specific processing procedures of the first determining unit 1301, the generating unit 1302, the setting unit 1303, and the second determining unit 1304 may refer to the relevant descriptions of the steps in fig. 1 in this embodiment, and are not repeated.

The device for determining the local maximum electric field intensity of the high-frequency transformer provided by the embodiment can be used for engineering simplification of the high-frequency transformer with higher insulation requirements to obtain a transformer simplified model, setting a plurality of line charges on the transformer simplified model by using a mirror image method and a mirror image charge iteration mode, and determining the local maximum electric field intensity of the high-frequency transformer according to all the line charges. The embodiment provides a new determination mode aiming at the local maximum electric field intensity of the high-frequency transformer, and can effectively enrich the determination mode of the local maximum electric field intensity.

Fig. 14 illustrates a physical structure diagram of an electronic device, as shown in fig. 14, which may include: processor 1410, communication interface (CommunicationsInterface) 1420, memory 1430, and communication bus 1440, wherein processor 1410, communication interface 1420, memory 1430 perform communication with each other via communication bus 1440. Processor 1410 may invoke logic instructions in memory 1430 to perform a method of determining local maximum electric field strength of a high frequency transformer, the method comprising:

When the potential of the magnetic core is equal to that of the first winding, and a potential difference exists between the magnetic core and the second winding, determining that the local maximum electric field intensity is positioned near one turn of winding closest to the magnetic yoke in the second winding; the first winding and the second winding are respectively a primary winding and a secondary winding, or the first winding and the second winding are respectively a secondary winding and a primary winding;

setting a plurality of line charges based on a half-open charged cuboid, two charged cylinders, a mirror image method and a mirror image charge iterative mode in a transformer simplified model;

The local maximum electric field strength of the high frequency transformer is determined from the set plurality of line charges.

In addition, the logic instructions in the memory 1430 described above may be implemented in the form of software functional units and may be stored in a computer readable storage medium when sold or used as a stand alone product. Based on this understanding, the technical solution of the present invention may be embodied essentially or in a part contributing to the prior art or in a part of the technical solution in the form of a software product stored in a storage medium, comprising several instructions for causing a computer device (which may be a personal computer, a server, a network device, etc.) to perform all or part of the steps of the method of the embodiments of the present invention. And the aforementioned storage medium includes: a usb disk, a removable hard disk, a Read-only memory (ROM), a random access memory (RAM, randomAccessMemory), a magnetic disk, or an optical disk, or other various media capable of storing program codes.

In another aspect, the present invention also provides a computer program product, the computer program product including a computer program, the computer program being storable on a non-transitory computer readable storage medium, the computer program, when executed by a processor, being capable of executing the method for determining a local maximum electric field strength of a high frequency transformer provided by the above methods, the method comprising:

In yet another aspect, the present invention also provides a non-transitory computer readable storage medium having stored thereon a computer program which, when executed by a processor, is implemented to perform the method of determining local maximum electric field strength of a high frequency transformer provided by the above methods, the method comprising:

The apparatus embodiments described above are merely illustrative, wherein the elements illustrated as separate elements may or may not be physically separate, and the elements shown as elements may or may not be physical elements, may be located in one place, or may be distributed over a plurality of network elements. Some or all of the modules may be selected according to actual needs to achieve the purpose of the solution of this embodiment. Those of ordinary skill in the art will understand and implement the present invention without undue burden.

From the above description of the embodiments, it will be apparent to those skilled in the art that the embodiments may be implemented by means of software plus necessary general hardware platforms, or of course may be implemented by means of hardware. Based on this understanding, the foregoing technical solution may be embodied essentially or in a part contributing to the prior art in the form of a software product, which may be stored in a computer readable storage medium, such as ROM/RAM, a magnetic disk, an optical disk, etc., including several instructions for causing a computer device (which may be a personal computer, a server, or a network device, etc.) to execute the method described in the respective embodiments or some parts of the embodiments.

Finally, it should be noted that: the above embodiments are only for illustrating the technical solution of the present invention, and are not limiting; although the invention has been described in detail with reference to the foregoing embodiments, it will be understood by those of ordinary skill in the art that: the technical scheme described in the foregoing embodiments can be modified or some technical features thereof can be replaced by equivalents; such modifications and substitutions do not depart from the spirit and scope of the technical solutions of the embodiments of the present invention.

Claims

1. A method for determining a local maximum electric field strength of a high frequency transformer, the method comprising;

2. The method of claim 1, wherein said simplifying the high frequency transformer to generate a transformer simplified model comprises:

3. The method of claim 2, wherein said determining a first winding reduction model from among said plurality of winding reduction models based on said simulation results comprises:

4. The method of claim 2, wherein the generating the transformer reduced model based on the first winding reduced model comprises:

5. The method of claim 1, wherein the two charged cylinders include a first charged cylinder and a second charged cylinder, wherein the setting a plurality of line charges based on the half open charged cuboid, the two charged cylinders, a mirroring method, and a mirror charge iterative manner in the transformer reduced model includes:

Setting the boundary potential of the half-open charged cuboid, the initial potentials of the first charged cylinder and the second charged cylinder to 0, phi ₁ and phi ₂, respectively;

Generating three first mirror cylinders corresponding to the first charged cylinders by using a mirror image method, and generating three second mirror cylinders corresponding to the second charged cylinders; wherein the initial potentials of the first mirrored cylinder and the second mirrored cylinder are phi ₁ and phi ₂, respectively;

6. The method of claim 5, wherein iteratively setting line charges within the first charged cylinder, the second charged cylinder, the first mirrored cylinder, and the second mirrored cylinder using a mirrored charge iterative approach until all line charges that have been set meet a convergence condition comprises:

7. The method of claim 6, wherein the mirror line charge sensing within the first cylinder with the other cylinders to set a first set of line charges within the first cylinder comprises:

8. The method according to any one of claims 5 to 7, wherein the convergence condition is that absolute values of differences between the electric potentials of the respective points of the surfaces of the first charged cylinder, the second charged cylinder, the first mirrored cylinder and the second mirrored cylinder and the respective initial electric potentials do not exceed a preset threshold.

9. The method of claim 1, wherein said determining a local maximum electric field strength of the high frequency transformer from the plurality of line charges that have been set comprises:

10. A local maximum electric field strength determining apparatus of a high frequency transformer, the apparatus comprising: