CN116936009B - Electric field distribution regulation and control method and system for high-voltage insulating dielectric functionally-graded material - Google Patents
Electric field distribution regulation and control method and system for high-voltage insulating dielectric functionally-graded material Download PDFInfo
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Abstract
The application provides a method and a system for regulating and controlling electric field distribution of a high-voltage insulating dielectric functional gradient material, which relate to the field of regulating and controlling electric field distribution, and specifically comprise the following steps: performing grid division on the high-voltage insulating dielectric functional gradient material to be regulated and controlled to obtain a plurality of units; calculating the potential value of the unit based on the current dielectric constant distribution of the unit, and determining the non-uniformity degree of the electric field; when the non-uniformity degree of the electric field exceeds a preset threshold value, optimizing the electric field distribution through iteration until the comprehensive evaluation function of the electric field distribution is met; according to the application, electric field regulation and control are realized by optimizing the dielectric constant and the conductivity, so that the condition of overhigh local electric field is effectively relieved, the distribution of the electric field along the surface is homogenized, the distortion of the electric field is restrained, the utilization rate of the electric field and the electrical resistance of an insulation system are improved, and the problem of optimizing the spatial distribution of dielectric parameters is solved.
Description
Technical Field
The application belongs to the field of electric field distribution regulation and control, and particularly relates to an electric field distribution regulation and control method and system for a high-voltage insulating dielectric functional gradient material.
Background
The statements in this section merely provide background information related to the present disclosure and may not necessarily constitute prior art.
Along with the rapid development of the national power grid and the wide use of the high-voltage switch cabinet, the accidents of the high-voltage switch cabinet are frequent, and mainly manifest in insulation accidents, current carrying faults, mechanical accidents, malfunction accidents, refusal operation accidents and the like, wherein the insulation accidents are particularly prominent. Because the material conductance, dielectric constant and the like in the insulating part cannot realize continuous transition, the electric field distribution born by the insulating part in the high-voltage switch cabinet is extremely uneven, the equipment operates under high field intensity for a long time, the local electric field distortion is serious, even reaches more than several times of the average field intensity, the electric field distortion can cause partial discharge, the insulating material is easy to age, the electrical resistance performance is reduced, and finally, the high-voltage power equipment insulating system is subjected to faults such as surface flashover, body breakdown and the like, the reliability of the equipment is reduced, and the operation and maintenance difficulty is increased.
In the prior art, a method of independently adjusting the dielectric constant of a material or independently adjusting the spatial distribution of conductivity is generally adopted to realize the regulation and control of the electric field distribution, and the two methods can alleviate local high electric field intensity to a certain extent and improve the surface electric field distribution of an insulator, but have limited regulation and control effects, and if only the dielectric constant or the spatial distribution of conductivity is adjusted, the junction structure is more complicated easily, and the complexity, difficulty and cost of equipment manufacture are increased.
Disclosure of Invention
In order to overcome the defects in the prior art, the application reasonably optimizes the integral electric field distribution of a gas-solid interface and improves the distortion degree of a local electric field, and provides the electric field distribution regulating and controlling method and system of the high-voltage insulating dielectric functional gradient material.
To achieve the above object, one or more embodiments of the present application provide the following technical solutions:
the first aspect of the application provides a method for regulating and controlling electric field distribution of a high-voltage insulating dielectric functionally graded material.
The electric field distribution regulating and controlling method of the high-voltage insulating dielectric functionally gradient material comprises the following steps:
performing grid division on the high-voltage insulating dielectric functional gradient material to be regulated and controlled to obtain a plurality of units;
calculating the potential value of the unit based on the current dielectric constant distribution of the unit, and determining the non-uniformity degree of the electric field;
when the non-uniformity degree of the electric field exceeds a preset threshold value, optimizing the electric field distribution through iteration until the comprehensive evaluation function of the electric field distribution is met;
the electric field distribution optimization comprises dielectric constant distribution optimization and conductivity optimization, wherein the dielectric constant distribution optimization is to optimize dielectric constant distribution according to an electric field distortion coefficient and an electric field stability coefficient, and the conductivity optimization is to adjust electric field intensity according to an electric field gradient so as to optimize conductivity.
Further, the potential value of the calculating unit is specifically:
calculating the insulator surface electric field distribution of the unit by using the finite element method and taking the current dielectric constant distribution of the unit as an input parameter;
and calculating the contribution of the electric field in the cell area to the whole area through an interpolation function, and determining the potential value of the cell.
Further, the degree of non-uniformity of the electric field is calculated by the following formula:
wherein,B i represent the firstiThe insulators of the individual cells are distributed along the surface electric field,represent the firstiThe potential values of the individual cells, N, represent the total number of cells.
Further, the optimizing the dielectric constant distribution according to the electric field distortion coefficient and the electric field stability coefficient specifically includes:
the electric field distortion is restrained by controlling the flashover voltage, and an electric field distortion coefficient is obtained;
calculating an electric field stability coefficient based on the electric field distortion coefficient;
calculating a dielectric constant by using the electric field stability coefficient, and judging whether the dielectric constant distribution is in a constraint range or not;
if the dielectric constant distribution is out of the constraint range, the dielectric constant distribution is linearly scaled.
Further, the formula for controlling the flashover voltage is as follows:
wherein,qfor the amount of charge to be,U C in order to have a flashover voltage,for the angle of deflection of the voltage,scoefficients for adjusting the control rate;
the formula of the electric field distortion coefficient is as follows:
wherein,gthe amount is determined for the cell boundary conditions,rfor the length of the boundary of the cell,E max for the maximum electric field strength of the cell,E min for the minimum electric field strength of the cell,E obj the target field strength is optimized for the unit,ε i is the firstiIndividual unitsu i Is a dielectric constant optimum of (a);
the formula of the electric field stability coefficient is as follows:
wherein,E max for the maximum electric field strength of the cell,E min for the minimum electric field strength of the cell,E kp for the critical electric field strength of the cell,E kp depending on factors such as the degree of non-uniformity of the electric field and the thickness of the insulator,fis the non-uniform coefficient of the electric field,dis the unit range size;
the specific formula for calculating the dielectric constant is as follows:
wherein,ρfor the virtual density to be the same as the virtual density,Uin order to apply an alternating voltage to the material,srepresenting the stability factor of the electric field,Nindicating the total number of units to be used,represents the potential value of the i-th cell,ε i indicating the current dielectric constant profile of the i-th cell.
Further, the electric field strength is adjusted according to the electric field gradient to optimize the electric conductivity, specifically:
according to the influence of the electric field non-uniformity on the electric field variation, the electric field gradient is adjusted;
judging whether the range of the electric field gradient meets the condition or not, and adjusting the electric field intensity;
the conductivity is optimized.
Further, the electric field gradient is defined as:
wherein,indicating the degree of non-uniformity of the electric field,Qin order for the dielectric to consume power,fis the non-uniform coefficient of the electric field,C i is the firstiCapacitance contained in individual cells, < >>Is the thermal conductivity of the insulating material,Sin order to be a unit area,jfor each measurement of the number of electric field gradients +.>Represent the firstiThe potential values of the individual cells;
the formula of the electric field intensity is as follows:
wherein,bas a factor of the correlation of the field strengths,Ufor the magnitude of the externally applied stabilizing voltage,fis the non-uniform coefficient of the electric field,rfor the length of the boundary of the cell,represent the firstiThe potential value of the individual cells is set,Gis the electric field intensity regulation and control coefficient;
the formula of the conductivity is shown as follows:
wherein,is the upper limit of the conductivity of the insulating material, +.>As a lower limit of the conductivity of the insulating material,E i represent the firstiElectric field strength of individual cells, ">Represent the firstiThe potential value of the individual cells is set,rfor the length of the boundary of the cell,Nindicating the total number of units.
Further, the electric field distribution formula is:
wherein,pin order to optimize the coefficient of the coefficients,indicating the conductivity of the insulating material>Represent the firstiThe potential value of each cell, ε represents the firstiThe dielectric constant distribution of the individual cells.
Further, the comprehensive evaluation function specifically includes:
wherein,Brepresenting the optimized electric field distribution,Nindicating the total number of units to be used,B i representing the first before optimizationiElectric field distribution of individual cells.
The second aspect of the application provides an electric field distribution regulating system of the high-voltage insulating dielectric functionally graded material.
The electric field distribution regulation and control system of the high-voltage insulating dielectric functional gradient material comprises a grid division module, a non-uniform calculation module and an iterative optimization module:
a meshing module configured to: performing grid division on the high-voltage insulating dielectric functional gradient material to be regulated and controlled to obtain a plurality of units;
a non-uniformity calculation module configured to: calculating the potential value of the unit based on the current dielectric constant distribution of the unit, and determining the non-uniformity degree of the electric field;
an iterative optimization module configured to: when the non-uniformity degree of the electric field exceeds a preset threshold value, optimizing the electric field distribution through iteration until the comprehensive evaluation function of the electric field distribution is met;
the electric field distribution optimization comprises dielectric constant distribution optimization and conductivity optimization, wherein the dielectric constant distribution optimization is to optimize dielectric constant distribution according to an electric field distortion coefficient and an electric field stability coefficient, and the conductivity optimization is to adjust electric field intensity according to an electric field gradient so as to optimize conductivity.
The one or more of the above technical solutions have the following beneficial effects:
(1) According to the application, the complex area is equivalent to a plurality of limited, simple and easy-to-solve subunits through grid division, so that the processing process is simpler, and the unit calculation is more accurate due to the introduction of interpolation functions.
(2) When the dielectric constant distribution is optimized, the electric field distortion coefficient and the electric field stability coefficient are introduced, so that the electric field distortion severity is effectively reduced, the flashover occurrence frequency is reduced, and the electric field utilization rate is improved.
(3) When the electric conductivity is optimized, the gradient distribution of the electric conductivity in the whole electric field is analyzed by adjusting the electric field gradient, the electric field intensity is adjusted conveniently, and the insulation breakdown phenomenon caused by overlarge field intensity is reduced effectively.
Additional aspects of the application will be set forth in part in the description which follows and, in part, will be obvious from the description, or may be learned by practice of the application.
Drawings
The accompanying drawings, which are included to provide a further understanding of the application and are incorporated in and constitute a part of this specification, illustrate embodiments of the application and together with the description serve to explain the application.
Fig. 1 is a flow chart of a method of a first embodiment.
Fig. 2 is a flowchart of a specific method of the first embodiment.
Fig. 3 is a schematic diagram of cell division of the first embodiment.
FIG. 4 is a specific process diagram of dielectric constant distribution optimization according to the first embodiment.
Fig. 5 is a specific process diagram of the conductivity optimization of the first embodiment.
Fig. 6 is a system configuration diagram of the second embodiment.
Detailed Description
It should be noted that the following detailed description is illustrative and is intended to provide further explanation of the application. Unless defined otherwise, all technical and scientific terms used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this application belongs.
It is noted that the terminology used herein is for the purpose of describing particular embodiments only and is not intended to be limiting of exemplary embodiments according to the present application. As used herein, the singular is also intended to include the plural unless the context clearly indicates otherwise, and furthermore, it is to be understood that the terms "comprises" and/or "comprising" when used in this specification are taken to specify the presence of stated features, steps, operations, devices, components, and/or combinations thereof.
Example 1
In one or more embodiments, a method for regulating and controlling electric field distribution of a high-voltage insulating dielectric functionally graded material is disclosed, as shown in fig. 1, comprising the steps of:
step S1: performing grid division on the high-voltage insulating dielectric functional gradient material to be regulated and controlled to obtain a plurality of units;
step S2: calculating the potential value of the unit based on the current dielectric constant distribution of the unit, and determining the non-uniformity degree of the electric field;
step S3: when the non-uniformity degree of the electric field exceeds a preset threshold value, optimizing the electric field distribution through iteration until the comprehensive evaluation function of the electric field distribution is met;
the electric field distribution optimization comprises dielectric constant distribution optimization and conductivity optimization, wherein the dielectric constant distribution optimization is to optimize dielectric constant distribution according to an electric field distortion coefficient and an electric field stability coefficient, and the conductivity optimization is to adjust electric field intensity according to an electric field gradient so as to optimize conductivity.
Further, the potential value of the calculating unit is specifically:
calculating the insulator surface electric field distribution of the unit by using the finite element method and taking the current dielectric constant distribution of the unit as an input parameter;
and calculating the contribution of the electric field in the cell area to the whole area through an interpolation function, and determining the potential value of the cell.
Further, the degree of non-uniformity of the electric field is calculated by the following formula:
wherein,B i represent the firstiThe insulators of the individual cells are distributed along the surface electric field,represent the firstiThe potential values of the individual cells, N, represent the total number of cells.
Further, the optimizing the dielectric constant distribution according to the electric field distortion coefficient and the electric field stability coefficient specifically includes:
the electric field distortion is restrained by controlling the flashover voltage, and an electric field distortion coefficient is obtained;
calculating an electric field stability coefficient based on the electric field distortion coefficient;
calculating a dielectric constant by using the electric field stability coefficient, and judging whether the dielectric constant distribution is in a constraint range or not;
if the dielectric constant distribution is out of the constraint range, the dielectric constant distribution is linearly scaled.
Further, the formula for controlling the flashover voltage is as follows:
wherein,qfor the amount of charge to be,U C in order to have a flashover voltage,for the angle of deflection of the voltage,scoefficients for adjusting the control rate;
the formula of the electric field distortion coefficient is as follows:
wherein,gthe amount is determined for the cell boundary conditions,rfor the length of the boundary of the cell,E max for the maximum electric field strength of the cell,E min for the minimum electric field strength of the cell,E obj the target field strength is optimized for the unit,ε i is the firstiIndividual unitsu i Is a dielectric constant optimum of (a);
the formula of the electric field stability coefficient is as follows:
wherein,E max for the maximum electric field strength of the cell,E min for the minimum electric field strength of the cell,E kp for the critical electric field strength of the cell,E kp depending on factors such as the degree of non-uniformity of the electric field and the thickness of the insulator,fis the non-uniform coefficient of the electric field,dis the unit range size;
the specific formula for calculating the dielectric constant is as follows:
wherein,ρfor the virtual density to be the same as the virtual density,Uin order to apply an alternating voltage to the material,srepresenting the stability factor of the electric field,Nindicating the total number of units to be used,represents the potential value of the i-th cell,ε i indicating the current dielectric constant profile of the i-th cell.
Further, the electric field strength is adjusted according to the electric field gradient to optimize the electric conductivity, specifically:
according to the influence of the electric field non-uniformity on the electric field variation, the electric field gradient is adjusted;
judging whether the range of the electric field gradient meets the condition or not, and adjusting the electric field intensity;
the conductivity is optimized.
Further, the electric field gradient is defined as:
wherein,indicating the degree of non-uniformity of the electric field,Qin order for the dielectric to consume power,fis the non-uniform coefficient of the electric field,C i is the firstiCapacitance contained in individual cells, < >>Is the thermal conductivity of the insulating material,Sin order to be a unit area,jfor each measurement of the number of electric field gradients +.>Represent the firstiThe potential values of the individual cells;
the formula of the electric field intensity is as follows:
wherein,bas a factor of the correlation of the field strengths,Ufor the magnitude of the externally applied stabilizing voltage,fis electric powerThe non-uniformity coefficient of the field is,rfor the length of the boundary of the cell,represent the firstiThe potential value of the individual cells is set,Gis the electric field intensity regulation and control coefficient;
the formula of the conductivity is shown as follows:
wherein,is the upper limit of the conductivity of the insulating material, +.>As a lower limit of the conductivity of the insulating material,E i represent the firstiElectric field strength of individual cells, ">Represent the firstiThe potential value of the individual cells is set,rfor the length of the boundary of the cell,Nindicating the total number of units.
Further, the electric field distribution formula is:
wherein,pin order to optimize the coefficient of the coefficients,indicating the conductivity of the insulating material>Represent the firstiThe potential value of each cell, ε represents the firstiThe dielectric constant distribution of the individual cells.
Further, the comprehensive evaluation function specifically includes:
wherein,Brepresenting the optimized electric field distribution,Nindicating the total number of units to be used,B i representing the first before optimizationiElectric field distribution of individual cells.
The implementation process of the electric field distribution control method of the high-voltage insulating dielectric functionally graded material of this embodiment is described in detail below.
The application mainly aims to provide an electric field distribution regulation and control implementation method suitable for a high-voltage insulating dielectric functional gradient material, which is used for realizing electric field regulation and control by optimizing dielectric constant and conductivity, effectively inhibiting electric field distortion, improving the utilization rate of an electric field, improving the problem of dielectric parameter spatial distribution optimization and improving the electrical resistance performance of an insulating system.
In order to achieve the above objective, the present embodiment provides a method for implementing electric field distribution regulation of a high-voltage insulating dielectric functionally graded material, as shown in fig. 2, which is as follows:
step one: completing grid division, and determining the potential value of a unit;
(1) Processing material using finite element meshing method, as shown in FIG. 3, sampling mesh lengthr=5cm，(x,y)Represent the firstiIndividual unitsu i Coordinates of the center position, and the divided unit set is expressed as:wherein, the method comprises the steps of, wherein,Nindicating the total number of units.
(2) By finite element method, in the followingiIndividual unitsu i Current dielectric constant distributionε i To input parameters, calculate the firstiIndividual unitsu i Insulator in-plane electric field distributionB i 。
(3) And calculating the contribution of the electric field in the cell area to the whole area through an interpolation function, and determining the potential value of the cell.
The interpolation function is defined as:
wherein,v(x,y)indicating the strength of the electric field within the cell area,(x,y)represent the firstiIndividual unitsu i The coordinates of the central location of the lens,、/>for the constant to be calculated, the specific formula is:
wherein,B i represent the firstiIndividual unitsu i The insulator is distributed along the surface electric field,ε i represent the firstiIndividual unitsu i Current dielectric constant distribution.
From this, the electric field strength in the cell area is calculatedv(x,y)Contribution to the entire Material areag i The specific formula is as follows:
wherein,v(x,y)indicating the strength of the electric field within the cell area,(x,y)represent the firstiIndividual unitsu i Coordinates of the center position.
To sum up, the unit can be obtainedu i Potential value of (2)The formula is:
wherein,B i represent the firstiIndividual unitsu i The insulator is distributed along the surface electric field,g i represent the firstiIndividual unitsu i Is a contribution of the electric field strength of (c) to the whole area.
Step two: determining the non-uniformity degree of the electric field of the material, and improving the dielectric constant and the conductivity;
(1) The degree of non-uniformity of the electric field is determined based on the potential value of the cell.
Wherein,B i represent the firstiIndividual unitsu i The insulator is distributed along the surface electric field,represent the firstiIndividual unitsu i Is used for the electric potential value of (a),Nindicating the total number of units.
The degree of non-uniformity of the electric field is classified as class R,each level has its own non-uniformity value range, and the non-uniformity level of the electric field is judged according to the obtained non-uniformity level of the electric field.
(2) And the dielectric constant distribution and the conductivity are optimized.
If the degree of non-uniformity is calculated to be greater than 1 level, iterative optimization of the dielectric constant distribution and conductivity is performed.
The specific process of optimizing the dielectric constant distribution is as shown in fig. 4, specifically:
1) The electric field is distorted due to the non-uniformity of the electric field, so that the electric field distribution is changed, and the uniformity of the electric field distribution is adversely affected; thus by reducing the electric field distortion coefficientTo improve the utilization rate of the electric field, the method is as follows:
the electric field is distorted, and the flashover voltage is changed at the same time, so that the electric field distortion is restrained by controlling the flashover voltage, and the electric field distortion coefficient is reduced.
The formula for controlling the flashover voltage is as follows:
wherein,qfor the amount of charge to be,U C in order to have a flashover voltage,for voltage deflection angle, in the range +.>~/>，sThe larger the numerical value is, the larger the regulating amplitude of the flashover voltage is represented, and the faster the convergence speed is; to ensure a faster control speed, the present embodiment uses coefficientssSet to 2.
The electric field distortion coefficient formula is as follows:
wherein,gthe amount is determined for the cell boundary conditions,rfor the length of the boundary of the cell,E max for the maximum electric field strength of the cell,E min for the minimum electric field strength of the cell,E obj the target field strength is optimized for the unit,ε i is the firstiIndividual unitsu i Is used for the dielectric constant.
2) Based on the distortion coefficient of the electric field, the stability coefficient of the electric field is proposedsThe formula is as follows:
wherein,E max for the maximum electric field strength of the cell,E min for the minimum electric field strength of the cell,E kp for the critical electric field strength of the cell,E kp depending on factors such as the degree of non-uniformity of the electric field and the thickness of the insulator,fis defined as the non-uniformity coefficient of the electric field, as a constant,dis the unit range size.
3) And calculating the dielectric constant and judging whether the dielectric constant distribution is in the constraint range.
The calculation formula of the dielectric constant distribution is as follows:
wherein,ρfor virtual density, the variable can normalize the material, the data range is (0-1),Uin order to apply an alternating voltage to the material,srepresenting the stability factor of the electric field,Nindicating the total number of units to be used,represent the firstiIndividual unitsu i Is used for the electric potential value of (a),ε i is the firstiIndividual unitsu i Current dielectric constant distribution.
Judging whether the dielectric constant distribution is in the constraint range, if so, linearly scaling the dielectric constant distribution and recalculating the electric field distribution.
The scaling formula is as follows:
wherein,εanddielectric constant distribution before and after scaling, respectively; />And->Respectively a maximum value and a minimum value of dielectric constant distribution before scaling; 60 and 3 are the upper and lower limits, respectively, of the dielectric constant constraint range.
After scaling, the dielectric constant distribution is recalculated using the calculation formula for dielectric constant distribution until the constraint range is satisfied.
The specific process of conductivity optimization is shown in fig. 5, and specifically includes:
1) And adjusting the electric field gradient according to the influence of the electric field non-uniformity on the electric field change.
According to the change of the electric field gradient, the corresponding electric field strength also changes, so the electric field gradient can be defined as:
wherein,indicating the degree of non-uniformity of the electric field,Qin order for the dielectric to consume power,fis the non-uniform coefficient of the electric field,C i is the firstiIndividual unitsu i The capacitance of>Is the thermal conductivity of the insulating material,Sin order to be a unit area,jfor each measurement of the number of electric field gradients +.>Represent the firstiIndividual unitsu i Is a potential value of (a).
2) Judging whether the range of the electric field gradient meets the condition or not, and adjusting the electric field intensity.
The electric field gradient needs to satisfy the following conditions:
wherein,Y j as a result of the previous measurement value,Y j-1 as a measure value of this time, the current time,kis an error.
When the electric field gradient meets the conditions, the electric field strength can just reach the maximum working field strength of the insulating material; however, when the electric field gradient does not meet the above conditions, the electric field strength needs to be adjusted, so the electric field strength formula of the definition unit is:
wherein,bfor the field strength correlation coefficient, typically 0.8,Ufor the magnitude of the externally applied stabilizing voltage,fis the non-uniform coefficient of the electric field,rfor the length of the boundary of the cell,represent the firstiIndividual unitsu i Is used for the electric potential value of (a),Gfor the electric field intensity regulation and control coefficient, the calculation formula is as follows:
wherein,U 0 to be the voltage at the time when the external voltage is just started to be applied,ais a constant coefficient of the degree of nonlinearity of the electric field strength,ris the boundary length of the cell.
When the external applied voltage is increased, the fluctuation range of the electric field intensity regulation coefficient is reduced, the electric field intensity is increased, and the effect of conductivity optimization is better.
3) Optimizing conductivity
The formula of the conductivity is shown below:
wherein,is the upper limit of the conductivity of the insulating material, +.>Is the lower limit of the conductivity of the insulating material, +.>Represent the firstiIndividual unitsu i Is>Represent the firstiIndividual unitsu i Is used for the electric potential value of (a),rfor the length of the boundary of the cell,Nindicating the total number of units.
Step three: controlling electric field distribution
(1) The electric field stability and the change of the electric field intensity are monitored on line through the sensor measuring electrode and the charge potential.
(2) The electric field distribution is regulated and controlled through optimizing and adjusting the dielectric constant and the conductivity, so that the electric field distribution meets the comprehensive evaluation function.
The electric field distribution is calculated as follows:
wherein,pin order to optimize the coefficients, constant, the value of this embodiment is 1,indicating the conductivity of the insulating material>Represent the firstiIndividual unitsu i Is used for the electric potential value of (a),εrepresent the firstiIndividual unitsu i Is a dielectric constant distribution of (a).
The calculation formula of the comprehensive evaluation function is as follows:
wherein,Brepresenting the optimized electric field distribution,Nrepresenting the sum of unitsThe number of the components is equal to the number,B i representing the first before optimizationiIndividual unitsu i Is set in the above-described range.
The electric field distribution optimized by the embodiment is improved by 25% -30% compared with the electric field distribution before being optimized, and the purpose of regulating and controlling the electric field distribution can be achieved.
(3) If the requirements of the evaluation function are not met, the dielectric constant and the conductivity are required to be continuously adjusted until the comprehensive evaluation function is met.
Example two
In one or more embodiments, an electric field distribution regulation system of a high-voltage insulating dielectric functionally graded material is disclosed, as shown in fig. 6, comprising a meshing module, a non-uniformity calculation module, and an iterative optimization module:
a meshing module configured to: performing grid division on the high-voltage insulating dielectric functional gradient material to be regulated and controlled to obtain a plurality of units;
a non-uniformity calculation module configured to: calculating the potential value of the unit based on the current dielectric constant distribution of the unit, and determining the non-uniformity degree of the electric field;
an iterative optimization module configured to: when the non-uniformity degree of the electric field exceeds a preset threshold value, optimizing the electric field distribution through iteration until the comprehensive evaluation function of the electric field distribution is met;
the electric field distribution optimization comprises dielectric constant distribution optimization and conductivity optimization, wherein the dielectric constant distribution optimization is to optimize dielectric constant distribution according to an electric field distortion coefficient and an electric field stability coefficient, and the conductivity optimization is to adjust electric field intensity according to an electric field gradient so as to optimize conductivity.
The above description is only of the preferred embodiments of the present application and is not intended to limit the present application, but various modifications and variations can be made to the present application by those skilled in the art. Any modification, equivalent replacement, improvement, etc. made within the spirit and principle of the present application should be included in the protection scope of the present application.
Claims (8)
1. The electric field distribution regulation and control method of the high-voltage insulating dielectric functionally-graded material is characterized by comprising the following steps of:
performing grid division on the high-voltage insulating dielectric functional gradient material to be regulated and controlled to obtain a plurality of units;
calculating the potential value of the unit based on the current dielectric constant distribution of the unit, and determining the non-uniformity degree of the electric field;
when the non-uniformity degree of the electric field exceeds a preset threshold value, optimizing the electric field distribution through iteration until the comprehensive evaluation function of the electric field distribution is met;
the electric field distribution optimization comprises dielectric constant distribution optimization and conductivity optimization, wherein the dielectric constant distribution optimization is to optimize dielectric constant distribution according to an electric field distortion coefficient and an electric field stability coefficient, and the conductivity optimization is to adjust electric field intensity according to an electric field gradient so as to optimize conductivity;
the dielectric constant distribution is optimized according to the electric field distortion coefficient and the electric field stability coefficient, and specifically comprises the following steps:
the electric field distortion is restrained by controlling the flashover voltage, and an electric field distortion coefficient is obtained;
calculating an electric field stability coefficient based on the electric field distortion coefficient;
calculating a dielectric constant by using the electric field stability coefficient, and judging whether the dielectric constant distribution is in a constraint range or not;
if the dielectric constant distribution exceeds the constraint range, linearly scaling the dielectric constant distribution;
the formula for controlling the flashover voltage is as follows:
wherein,qfor the amount of charge to be,U C in order to have a flashover voltage,for the angle of deflection of the voltage,scoefficients for adjusting the control rate;
the formula of the electric field distortion coefficient is as follows:
wherein,gthe amount is determined for the cell boundary conditions,rfor the length of the boundary of the cell,E max for the maximum electric field strength of the cell, E min for the minimum electric field strength of the cell,E obj the target field strength is optimized for the unit,ε i is the firstiIndividual unitsu i Is a dielectric constant optimum of (a);
the formula of the electric field stability coefficient is as follows:
wherein,E max for the maximum electric field strength of the cell,E min for the minimum electric field strength of the cell,E kp for the critical electric field strength of the cell,E kp depending on factors such as the degree of non-uniformity of the electric field and the thickness of the insulator,fis the non-uniform coefficient of the electric field,dis the unit range size;
the specific formula for calculating the dielectric constant is as follows:
wherein,ρfor the virtual density to be the same as the virtual density,Uin order to apply an alternating voltage to the material,srepresenting the stability factor of the electric field,Nindicating the total number of units to be used,represents the potential value of the i-th cell,ε i representing the current dielectric constant distribution of the ith cell;
the electric field strength is adjusted according to the electric field gradient to optimize the conductivity, specifically:
according to the influence of the electric field non-uniformity on the electric field variation, the electric field gradient is adjusted;
judging whether the range of the electric field gradient meets the condition or not, and adjusting the electric field intensity;
optimizing the conductivity;
the electric field gradient is defined as:
wherein,indicating the degree of non-uniformity of the electric field,Qin order for the dielectric to consume power,fis the non-uniform coefficient of the electric field,C i is the firstiCapacitance contained in individual cells, < >>Is the thermal conductivity of the insulating material,Sin order to be a unit area,jfor each measurement of the number of electric field gradients +.>Represent the firstiThe potential values of the individual cells;
the formula of the electric field intensity is as follows:
wherein,bas a factor of the correlation of the field strengths,Ufor the magnitude of the externally applied stabilizing voltage,fis the non-uniform coefficient of the electric field,rfor the length of the boundary of the cell,represent the firstiThe potential value of the individual cells is set,Gis the electric field intensity regulation and control coefficient;
the formula of the conductivity is shown as follows:
wherein,is the upper limit of the conductivity of the insulating material, +.>As a lower limit of the conductivity of the insulating material,E i represent the firstiElectric field strength of individual cells, ">Represent the firstiThe potential value of the individual cells is set,rfor the length of the boundary of the cell,Nrepresenting the total number of units;
the formula of the electric field distribution is as follows:
wherein,pin order to optimize the coefficient of the coefficients,indicating the conductivity of the insulating material>Represent the firstiThe potential value of each cell, ε represents the firstiThe dielectric constant distribution of the individual cells.
2. The method for controlling electric field distribution of high-voltage insulating dielectric functionally graded material according to claim 1, wherein the electric potential value of the calculating unit is specifically:
calculating the insulator surface electric field distribution of the unit by using the finite element method and taking the current dielectric constant distribution of the unit as an input parameter;
and calculating the contribution of the electric field in the cell area to the whole area through an interpolation function, and determining the potential value of the cell.
3. The method for controlling electric field distribution of high voltage insulating dielectric functionally graded material according to claim 1, wherein the degree of non-uniformity of the electric field is calculated by the following formula:
wherein,B i represent the firstiThe insulators of the individual cells are distributed along the surface electric field,represent the firstiThe potential values of the individual cells, N, represent the total number of cells.
4. The method for regulating and controlling electric field distribution of high-voltage insulating dielectric functionally graded material according to claim 1, wherein the comprehensive evaluation function is specifically:
wherein,Brepresenting the optimized electric field distribution,Nindicating the total number of units to be used,B i representing the first before optimizationiElectric field distribution of individual cells.
5. The electric field distribution regulation and control system of the high-voltage insulating dielectric functional gradient material is characterized by comprising a grid division module, a non-uniform calculation module and an iterative optimization module:
a meshing module configured to: performing grid division on the high-voltage insulating dielectric functional gradient material to be regulated and controlled to obtain a plurality of units;
a non-uniformity calculation module configured to: calculating the potential value of the unit based on the current dielectric constant distribution of the unit, and determining the non-uniformity degree of the electric field;
an iterative optimization module configured to: when the non-uniformity degree of the electric field exceeds a preset threshold value, optimizing the electric field distribution through iteration until the comprehensive evaluation function of the electric field distribution is met;
the electric field distribution optimization comprises dielectric constant distribution optimization and conductivity optimization, wherein the dielectric constant distribution optimization is to optimize dielectric constant distribution according to an electric field distortion coefficient and an electric field stability coefficient, and the conductivity optimization is to adjust electric field intensity according to an electric field gradient so as to optimize conductivity;
the dielectric constant distribution is optimized according to the electric field distortion coefficient and the electric field stability coefficient, and specifically comprises the following steps:
the electric field distortion is restrained by controlling the flashover voltage, and an electric field distortion coefficient is obtained;
calculating an electric field stability coefficient based on the electric field distortion coefficient;
calculating a dielectric constant by using the electric field stability coefficient, and judging whether the dielectric constant distribution is in a constraint range or not;
if the dielectric constant distribution exceeds the constraint range, linearly scaling the dielectric constant distribution;
the formula for controlling the flashover voltage is as follows:
wherein,qfor the amount of charge to be,U C in order to have a flashover voltage,for the angle of deflection of the voltage,scoefficients for adjusting the control rate;
the formula of the electric field distortion coefficient is as follows:
wherein,gthe amount is determined for the cell boundary conditions,rfor the length of the boundary of the cell,E max for the maximum electric field strength of the cell, E min for the minimum electric field strength of the cell,E obj the target field strength is optimized for the unit,ε i is the firstiIndividual unitsu i Is a dielectric constant optimum of (a);
the formula of the electric field stability coefficient is as follows:
wherein,E max for the maximum electric field strength of the cell,E min for the minimum electric field strength of the cell,E kp for the critical electric field strength of the cell,E kp depending on factors such as the degree of non-uniformity of the electric field and the thickness of the insulator,fis the non-uniform coefficient of the electric field,dis the unit range size;
the specific formula for calculating the dielectric constant is as follows:
wherein,ρfor the virtual density to be the same as the virtual density,Uin order to apply an alternating voltage to the material,srepresenting the stability factor of the electric field,Nindicating the total number of units to be used,represents the potential value of the i-th cell,ε i representing the current dielectric constant distribution of the ith cell;
the electric field strength is adjusted according to the electric field gradient to optimize the conductivity, specifically:
according to the influence of the electric field non-uniformity on the electric field variation, the electric field gradient is adjusted;
judging whether the range of the electric field gradient meets the condition or not, and adjusting the electric field intensity;
optimizing the conductivity;
the electric field gradient is defined as:
wherein,indicating the degree of non-uniformity of the electric field,Qin order for the dielectric to consume power,fis the non-uniform coefficient of the electric field,C i is the firstiCapacitance contained in individual cells, < >>Is the thermal conductivity of the insulating material,Sin order to be a unit area,jfor each measurement of the number of electric field gradients +.>Represent the firstiThe potential values of the individual cells;
the formula of the electric field intensity is as follows:
wherein,bas a factor of the correlation of the field strengths,Ufor the magnitude of the externally applied stabilizing voltage,fis the non-uniform coefficient of the electric field,rfor the length of the boundary of the cell,represent the firstiThe potential value of the individual cells is set,Gis the electric field intensity regulation and control coefficient;
the formula of the conductivity is shown as follows:
wherein,is the upper limit of the conductivity of the insulating material, +.>As a lower limit of the conductivity of the insulating material,E i represent the firstiElectric field strength of individual cells, ">Represent the firstiThe potential value of the individual cells is set,rfor the length of the boundary of the cell,Nrepresenting the total number of units;
the formula of the electric field distribution is as follows:
wherein,pin order to optimize the coefficient of the coefficients,indicating the conductivity of the insulating material>Represent the firstiThe potential value of each cell, ε represents the firstiThe dielectric constant distribution of the individual cells.
6. The electric field distribution control system of the high-voltage insulating dielectric functionally graded material according to claim 5, wherein the electric potential value of the calculation unit is specifically:
calculating the insulator surface electric field distribution of the unit by using the finite element method and taking the current dielectric constant distribution of the unit as an input parameter;
and calculating the contribution of the electric field in the cell area to the whole area through an interpolation function, and determining the potential value of the cell.
7. The electric field distribution control system of the high voltage insulating dielectric functionally graded material according to claim 5, wherein the degree of non-uniformity of the electric field is calculated by the following formula:
wherein,B i represent the firstiThe insulators of the individual cells are distributed along the surface electric field,represent the firstiThe potential values of the individual cells, N, represent the total number of cells.
8. The electric field distribution control system of the high-voltage insulating dielectric functionally graded material according to claim 5, wherein the comprehensive evaluation function is specifically:
wherein,Brepresenting the optimized electric field distribution,Nindicating the total number of units to be used,B i representing the first before optimizationiElectric field distribution of individual cells.
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