CN111553089A - Multi-level optimization design method for GIS/GIL basin-type insulator with high power-resisting performance - Google Patents

Multi-level optimization design method for GIS/GIL basin-type insulator with high power-resisting performance Download PDF

Info

Publication number
CN111553089A
CN111553089A CN202010379116.6A CN202010379116A CN111553089A CN 111553089 A CN111553089 A CN 111553089A CN 202010379116 A CN202010379116 A CN 202010379116A CN 111553089 A CN111553089 A CN 111553089A
Authority
CN
China
Prior art keywords
optimization
basin
dielectric
convex
gis
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Granted
Application number
CN202010379116.6A
Other languages
Chinese (zh)
Other versions
CN111553089B (en
Inventor
张冠军
王超
李文栋
江智慧
杨雄
薛建议
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Xian Jiaotong University
Original Assignee
Xian Jiaotong University
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Xian Jiaotong University filed Critical Xian Jiaotong University
Priority to CN202010379116.6A priority Critical patent/CN111553089B/en
Publication of CN111553089A publication Critical patent/CN111553089A/en
Application granted granted Critical
Publication of CN111553089B publication Critical patent/CN111553089B/en
Active legal-status Critical Current
Anticipated expiration legal-status Critical

Links

Images

Classifications

    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00—Computer-aided design [CAD]
    • G06F30/20—Design optimisation, verification or simulation
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06N—COMPUTING ARRANGEMENTS BASED ON SPECIFIC COMPUTATIONAL MODELS
    • G06N3/00—Computing arrangements based on biological models
    • G06N3/004—Artificial life, i.e. computing arrangements simulating life
    • G06N3/006—Artificial life, i.e. computing arrangements simulating life based on simulated virtual individual or collective life forms, e.g. social simulations or particle swarm optimisation [PSO]
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06N—COMPUTING ARRANGEMENTS BASED ON SPECIFIC COMPUTATIONAL MODELS
    • G06N3/00—Computing arrangements based on biological models
    • G06N3/12—Computing arrangements based on biological models using genetic models
    • G06N3/126—Evolutionary algorithms, e.g. genetic algorithms or genetic programming
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F2111/00—Details relating to CAD techniques
    • G06F2111/06—Multi-objective optimisation, e.g. Pareto optimisation using simulated annealing [SA], ant colony algorithms or genetic algorithms [GA]
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F2111/00—Details relating to CAD techniques
    • G06F2111/10—Numerical modelling
    • Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02E—REDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
    • Y02E60/00—Enabling technologies; Technologies with a potential or indirect contribution to GHG emissions mitigation

Landscapes

  • Engineering & Computer Science (AREA)
  • Physics & Mathematics (AREA)
  • Theoretical Computer Science (AREA)
  • Health & Medical Sciences (AREA)
  • Life Sciences & Earth Sciences (AREA)
  • Biophysics (AREA)
  • Evolutionary Computation (AREA)
  • General Physics & Mathematics (AREA)
  • General Engineering & Computer Science (AREA)
  • Computing Systems (AREA)
  • Evolutionary Biology (AREA)
  • Molecular Biology (AREA)
  • Data Mining & Analysis (AREA)
  • Computational Linguistics (AREA)
  • Biomedical Technology (AREA)
  • Mathematical Physics (AREA)
  • Software Systems (AREA)
  • Artificial Intelligence (AREA)
  • General Health & Medical Sciences (AREA)
  • Bioinformatics & Computational Biology (AREA)
  • Bioinformatics & Cheminformatics (AREA)
  • Geometry (AREA)
  • Computer Hardware Design (AREA)
  • Physiology (AREA)
  • Genetics & Genomics (AREA)
  • Insulating Bodies (AREA)

Abstract

The invention discloses a multilevel optimal design method of a GIS/GIL basin-type insulator with high electrical resistance, which comprises an initial design stage and a detailed design stage, wherein in the initial design stage, profile shape optimization is adopted to construct the basic appearance of the GIS/GIL basin-type insulator, a two-dimensional profile function is utilized to describe the shapes of a convex surface and a concave surface of a basin body, the introduction of dielectric function gradient material distribution is considered, the topological optimization is utilized to adjust the dielectric characteristic space distribution to actively regulate and control the electric field distribution, and the surface electric field is further deeply homogenized; in a detailed design stage, according to a result of dielectric distribution topology optimization, the optimized gradient insulation region is converted into a high-dielectric region with constant dielectric constant, the sizes of the high-voltage side metal accessory and the high-dielectric region are finely adjusted, an optimal size parameter is found out by adopting a genetic algorithm or an ant colony algorithm, and the design of the GIS/GIL basin-type insulator is completed. The invention can fully expand the design space, realize the depth inhibition of the surface electric field and achieve the purpose of improving the breakdown voltage of the basin-type insulator.

Description

Multi-level optimization design method for GIS/GIL basin-type insulator with high power-resisting performance
Technical Field
The invention belongs to the technical field of high-voltage power equipment design and manufacture, and particularly relates to a multi-level optimization design method for a GIS/GIL basin-type insulator with high electrical resistance.
Background
Gas Insulated Switchgear (GIS) is widely applied to ultra-high and extra-high voltage transformer substations due to the advantages of small occupied area, stable operation environment and the like. Gas insulated pipeline (GIL) is a novel advanced power transmission mode, has the advantages of large transmission capacity, small transmission loss, high safety and the like, and is often used as a replacement scheme of an overhead Line and applied to special power transmission environments.
The basin-type insulator is used as an important component in GIS/GIL equipment, and plays roles of supporting a metal guide rod, isolating potential, sealing an air chamber and isolating air and the like. On one hand, because the electric field along the surface is not uniformly distributed, the equipment runs under high field intensity for a long time, and under the condition of external overvoltage, the phenomenon of flashover/breakdown damage is easy to occur on the surface of the insulator, the reliability of the equipment is reduced, and the operation and maintenance difficulty is increased. On the other hand, the size of the basin-type insulator directly determines basic dimensions such as the insulation distance of the equipment, the inner diameter of the cylinder and the like, and further determines the floor area and SF (sulfur hexafluoride) of the equipment6The amount of gas used. Therefore, miniaturization of the basin insulator is also an urgent development requirement in view of economic efficiency and environmental protection. The well-designed basin-type insulator is an important guarantee for ensuring the high reliability of the GIS/GIL equipment and even the safety of the whole power system.
The visualization of the physical process and the accurate quantification of the physical quantity can be realized through a numerical simulation means, the insulation matching and the electrical design are optimized, the geometric shape can be adjusted only in a limited size range by the traditional structural parameter optimization design method, the electric field optimization effect is limited, in addition, due to the fact that the design variables are numerous, the finite element model needs to be called for many times, the calculated quantity is large, and the optimization efficiency is low. How to realize the efficient optimization design of the insulation structure through numerical simulation is the key point for manufacturing the high-performance basin-type insulator.
Disclosure of Invention
The invention aims to solve the technical problem of providing a multi-level optimization design method of a GIS/GIL basin-type insulator with high electrical resistance aiming at the defects in the prior art. In the detailed design stage, the further regulation and control of the electric field are realized by optimizing and selecting specific size parameters and dielectric parameter values of the central insert, the shielding case and the like; the staged and multilevel optimization strategy combines the advantages of structure optimization and material distribution optimization, and is beneficial to avoiding premature trapping into partial optimal solutions; the fully expanded design space can realize the optimization effect of 1+1>2, thereby laying a theoretical foundation for the design and manufacture of the novel basin-type insulator with high electric resistance.
The invention adopts the following technical scheme:
a multilevel optimization design method for a GIS/GIL basin-type insulator with high power-resisting performance comprises a preliminary design stage and a detailed design stage, wherein in the preliminary design stage, outline shape optimization is adopted to construct the basic appearance of the GIS/GIL basin-type insulator, a two-dimensional outline function is used for describing the shapes of a convex surface and a concave surface of a basin body, the introduction of dielectric function gradient material distribution is considered, the topological optimization is used for adjusting the dielectric property so as to actively regulate and control the electric field distribution, and the surface electric field is further deeply homogenized on the basis of the outline optimization; in a detailed design stage, according to a result of topological optimization of dielectric distribution, the optimized gradient insulation region is converted into a high-dielectric region with constant dielectric constant so as to meet the constraint of the existing manufacturing conditions, the sizes of the high-voltage side metal accessory and the high-dielectric region are finely adjusted, an optimal size parameter is found out by adopting a genetic algorithm or an ant colony algorithm, and the design of the GIS/GIL basin-type insulator is completed.
Specifically, the preliminary design stage specifically includes:
s101, describing the shapes of the convex surface and the concave surface of the pot body by using a two-dimensional profile function, wherein the maximum deformation of the starting point of a profile curve is set as T0The deformation at the end point of the contour is zero, and the derivatives at the start point and the end point of the function are set to be zero; adding constraint to the derivative of the curve, and finding out the optimal contour control parameter according to an optimization algorithm;
s102, on the basis of shape contour optimization, discretely dividing the basin body into a plurality of sub-areas, wherein the dielectric constant in each sub-area is the same, searching for optimal dielectric constant distribution in the insulating basin body to enable the convex and concave electric fields to be uniformly distributed, and giving a function independent variable value range in each iteration process by introducing a moving asymptote method so as to find optimal dielectric spatial distribution.
Further, in step S101, the mathematical optimization problem is:
min：E＝max{E_convex,E_concave}
＝f(C12,C13,C22,C23)
Figure BDA0002481339780000031
wherein E _ covex and E _ covave respectively represent the maximum electric field of the convex surface and the concave surface of the pot body, and C12，C13，C22And C23Is a profile control parameter, f is a function of the profile control parameter at the maximum electric field, TminAnd TmaxThe thinnest and thickest thickness, T, of the basin-type insulator1(r) and T2(r) is a profile function of the convex and concave surfaces.
Further, in step S102, a solid isotropic material penalty density interpolation function is applied to each discrete unit to find an optimal density distribution, where the mathematical optimization model is:
find ρ＝{ρ1,ρ2,,ρn}
Figure BDA0002481339780000032
s.t.r＝0((rmax-rmin)ρi p+rmin),
0＜ρmin≤ρi≤1,i＝1,2,...,n
p＞0,q＞0,0≤w≤1
where ρ is the density vector of each grid, fEoptAs a function of the degree of homogeneity of the electric field along the surface, fgradQ is the proportionality coefficient of the gradient penalty term, E _ covex and E _ covave are the convex electric field distribution, EmeanW is the equilibrium coefficient between the degrees of homogeneity of the convex and concave electric fields, l1And l2Respectively convex and concave edge regions, Cref1And Cref2Is an initial reference value, hmeshIs the area of the grid, omega is the integral calculation domain, A is the area of the integral calculation domain, ρminFor the minimum density of the grid, p is a variable parameter of the SIMP interpolation function.
Specifically, the detailed design stage specifically includes:
s201, converting the optimized gradient insulation region into a high dielectric region with constant dielectric constant according to the result of dielectric distribution topology optimization, and finding out the optimal dielectric constant value of the high dielectric region by adopting a parameter scanning mode or a traditional gradient descent algorithm;
s202, establishing a size parameter optimization model to finely adjust the sizes of the high-voltage side metal accessories and the high-dielectric region.
Further, in step S201, a mathematical model is established, and the optimization objective is to limit the maximum electric field of the convex surface and the concave surface, specifically:
min：E＝max{E_convex,E_concave}
＝f(i)
s.t.min＜i≤max
wherein the content of the first and second substances,minandmaxthe upper and lower bounds for the variation of the dielectric constant,ifor high dielectric zone dielectric constants, E _ covex and E _ covave represent the electric field maximum for the convex and concave basins, respectively.
Further, in step S202, the dimensional variation ranges of the high-side metal attachment and the high-dielectric region are as follows:
min：E＝max{E_convex,E_concave}
＝f(R1,R2,d1,d2,…)
Figure BDA0002481339780000041
wherein R is1And R2Radius of the convex and concave central inserts, d1Is the height of the connecting member, d2Is the length of the high dielectric region, R1_min、R2_min、d1_min、d2_minAnd R1_max、R2_max、d1_max、d2_maxThe upper and lower limits of the corresponding parameters are respectively, and E _ covex and E _ covave respectively represent the maximum values of the electric field of the convex surface and the concave surface of the pot body.
Compared with the prior art, the invention has at least the following beneficial effects:
the invention relates to a multi-level optimization design method of a GIS/GIL basin-type insulator with high electric resistance, which designs the basin-type insulator with high electric resistance by utilizing a multi-level parallel numerical simulation strategy of shape optimization and dielectric distribution optimization. Compared with the traditional size optimization method, the method can fully expand the design space, realize the depth regulation and control of the surface electric field, and achieve the purposes of reducing the size of GIS equipment and improving the breakdown voltage of the basin-type insulator.
Furthermore, in step S101, a shape profile optimization algorithm is firstly adopted, a structural curve is described through a shape function, the design of the overall structure can be controlled by using fewer variables, and compared with the traditional size optimization, the basin body overall profile optimization method has the characteristics of large deformation and small calculation amount, and can realize the basin body overall profile optimization. Meanwhile, constraint conditions can be conveniently adjusted according to design requirements, for example, the thinnest and thickest thicknesses of the pot body can be adjusted according to requirements of different voltage grades, so that the requirements of mechanical performance are met, the processing difficulty in actual manufacturing engineering is reduced by converting the gradient dielectric region into the high dielectric region, and the manufacturing of the gradient insulating structure can be realized on the basis of the existing process. Meanwhile, the most significant value of the high dielectric region can be found out in a parameter scanning mode, so that guidance of designing a formula is provided for specific manufacturing.
Further, in step S102, the adopted dielectric distribution optimization can find out the optimal dielectric property spatial distribution inside the tub body, thereby realizing further depth homogenization of the electric field on the basis of the contour optimization. The combination of the two can realize the optimization effect of '1 +1> 2'. The surface electric field of the insulating structure can be obviously homogenized, and the maximum field intensity can be greatly reduced. The specifically adopted variable density topological optimization algorithm can realize the design of two-dimensional approximate continuous gradient, and can well solve the problems of numerous design variables and high nonlinearity of optimization problem.
Furthermore, the gradient dielectric region is converted into the homogeneous high dielectric region, so that the manufacturing difficulty can be reduced on the basis of ensuring the electric field homogenization effect, the homogeneous high dielectric region can be quickly, simply and conveniently manufactured by utilizing the photocuring 3D printing technology or the traditional mould resin pouring mode, and then the manufacturing of the whole basin-type insulator is realized by the assembling mode.
Further, in step S202, each size parameter is optimized by using a genetic algorithm, details of the structure can be designed and optimized, and a final manufacturing drawing can be given while electric field regulation is realized.
In conclusion, the multilevel optimization design method for the GIS/GIL basin-type insulator with high power-resisting performance, which is provided by the invention, can greatly reduce the surface electric field intensity of the basin-type insulator and homogenize the electric field distribution by combining the advantages of shape optimization and dielectric distribution optimization. The multi-layer sub-optimization strategy can fully utilize the design space and search the global optimal value of the design. Meanwhile, the design method described by the invention can realize the insulation design with high electric resistance performance without increasing the difficulty of the existing manufacturing process, the designed insulation structure has high electric resistance performance, and the mechanical and thermal performances can be still maintained, so that the actual industrial application requirements can be met, and the reliability of the insulation structure is improvedThe floor area of the power equipment is reduced, and the greenhouse gas SF is reduced6The amount of (2) used.
The technical solution of the present invention is further described in detail by the accompanying drawings and embodiments.
Drawings
FIG. 1 is a graph of the results of the optimization steps of the method of the present invention, wherein (a) is the insulation system before optimization, (b) is the insulation profile shape after profile optimization, (c) is the dielectric constant spatial distribution after topology optimization, and (d) is the insulation system after size/dielectric parameter optimization;
FIG. 2 is a work flow chart of the multi-level optimized design method of the GIS/GIL basin-type insulator with high electrical resistance.
Detailed Description
The invention relates to a multilevel optimal design method of a GIS/GIL basin-type insulator with high electrical resistance, which comprises an initial design stage and a detailed design stage, wherein in the initial design stage, the overall contour of a concave surface and a convex surface of a basin body is obtained by the contour optimization of a geometric shape, and on the basis, the dielectric constant spatial distribution in the insulator is adjusted by the topological optimization of dielectric distribution to realize the regulation and control of an electric field along the surface, so that the overall optimal design of an insulating structure is realized; in a detailed design stage, based on the result of geometric shape and dielectric distribution topological optimization, searching an optimal dielectric constant and optimal size parameters of local key structures such as the height of a connecting piece through parameter optimization; the proposed multilevel comprehensive optimization strategy can utilize the design space to the maximum extent, and realize the optimization effect of geometric shape and dielectric distribution of 1+1> 2. Compared with the original basin-type insulator before optimization, the maximum electric field reduction amplitude of the convex surface and the concave surface of the optimized basin body can reach 25 percent respectively, so that the overall electric field distribution of the basin-type insulator is greatly improved, and the development requirements of miniaturization, environmental protection and higher voltage level of GIS/GIL power equipment are met. The method specifically comprises the following steps:
s1, preliminary design stage
The outline shape of the pot body is optimized by adopting a shape optimization means. Because the basin-type insulator is of an axisymmetric structure, a three-dimensional modeling is not needed, and the complete structure of the basin-type insulator can be described through a two-dimensional axisymmetric model (comprising an r axis and a z axis).
And S101, describing the shapes of the convex surface and the concave surface of the pot body by using a two-dimensional contour function. A bernstein polynomial of fourth order and above of the contour function, or a fourier polynomial.
Taking the bernstein polynomial as an example, the shape function is shown in equation (1), where the r-axis has been represented by a normalized size and the function has been scaled down such that the polynomial coefficient is close to 1 in order of magnitude. At the same time, some reasonable constraints are imposed on the shape of the basin body due to practical manufacturing process considerations. The amount of deformation at the starting point of the profile curve, i.e. at the high voltage electrode, should be maximal, set to T0(maximum deflection) and zero deflection at the end of the profile. To ensure that the curve transitions smoothly so that the optimization process does not have electric field distortion points, the derivatives at the start and end of the function are also set to zero.
In addition, in order to prevent the pot body from being thin and thick, the design space is further limited, constraints are added to the derivative of the curve, the outline of the optimization process is guaranteed to be kept monotonously and gradually reduced, and the constraint conditions are summarized in the formula (1).
Figure BDA0002481339780000081
Wherein, C0、C1、C2、C3、C4、C5For adjusting the parameters, T, for the shape0For maximum thickness, T (r) is the derivative of the profile function.
According to the constraint condition, the Bernstein polynomial can be reduced to the formula (2), and at the moment, the unknown variable only has C with a limited value range2And C3In other words, the contour shape of the insulator can be adjusted by changing 2 variables, which is one of the advantages of shape optimization compared with the conventional size optimization.
Figure BDA0002481339780000082
According to the starting point and the ending point of the pot body,after the normalized curve is expanded to the actual proportion, the curve function T respectively describing the convex surface contour and the concave surface contour can be obtained1(r) and T2(r)。
The decision variable is C describing the change of the contour12，C13，C22And C23. Usually in view of limiting the maximum electric field, the optimization goal is the maximum of the convex and concave electric fields.
The mathematical model can be extracted as formula (3):
Figure BDA0002481339780000083
wherein E _ covex and E _ covave respectively represent the maximum electric field of the convex surface and the concave surface of the pot body, and TminAnd TmaxThe thinnest and thickest thicknesses of the basin insulator respectively. And the optimal shape parameters can be found by utilizing an optimization algorithm. The optimization algorithm can be an intelligent optimization algorithm genetic algorithm or a particle swarm algorithm, and can also be an algorithm based on gradient descent, such as a moving asymptote.
S102, optimizing the dielectric distribution on the basis of optimizing the shape profile. The electric field distribution can be actively regulated and controlled by adjusting the dielectric property space distribution, and the first problem is how to find the optimal dielectric distribution.
To this end, through discrete division of the basin, several sub-regions are formed, the permittivity in each sub-region being the same. The optimization problem can be described as: and searching the optimal dielectric constant distribution in the insulating pot body so that the convex and concave electric fields are distributed most uniformly. The mathematical model is shown as formula (4), faAnd fbRespectively describing the uniformity of the concave and convex electric field distribution, w is the balance coefficient between the two, and is initially set to 0.5, EmeanIn order to average the electric field strength,minandmaxthe upper and lower dielectric constants. l1And l2Respectively convex and concave edge surface regions, it can be seen that if1And l2The closer the electric field intensity at each point in the region is to the average field intensity, the smaller the integral value in equation (4), and when E is equal to E at each position in the regionmeanWhen the integral value reaches 0, the electric field distribution becomes uniform. Further, the integrated value under the initial condition is introduced as a reference value CrefRealization of faAnd fbThe normalization of (3) eliminates the influence of the geometrical structure and the size on the design optimization process.
Figure BDA0002481339780000091
In the optimization solving process of the above problems, due to the high nonlinearity of the optimization problem and the complexity of the structure to be optimized, some unstable phenomena of numerical calculation often occur, wherein the most typical unstable phenomena include two types of checkerboard and grid dependency, and a phenomenon of a fine branch structure in a topological structure when the grid density is large. The convergence of the numerical calculation process is seriously affected by the occurrence of such numerical instability phenomena. In order to suppress the instability, the sub-target function faAnd fbOn the basis, a numerical instability phenomenon suppression method based on global gradient penalty is provided, and a gradient penalty term f is introduced into an objective functiongradThe optimization problem can be further derived as equation (5):
Figure BDA0002481339780000101
gradient penalty term fgradIn q is the proportionality coefficient of the gradient penalty term, hmeshIs the area of the grid, Ω1For the design area (basin), A is the area of the design area.
In the optimization design model of the point-by-point functional gradient insulating part, the design variable dimension is higher, and the difficulty of processing by using a conventional optimization algorithm is higher. Therefore, the design optimization of the point-by-point functional gradient insulator is carried out by utilizing a topological optimization technology. And (3) performing point-by-point functional gradient insulation piece optimization design by adopting a variable density method. On each discrete unit, a Solid Isotropic Material with pealization (SIMP) density interpolation function is applied to find the optimal density distribution, so equation (5) can be further derived as equation (6), where ρ is the density of each grid and p is the variable parameter of the SIMP interpolation function.
Figure BDA0002481339780000102
Compared with a size and shape optimization method, the topological optimization design method has more variables and larger calculation scale, and is difficult to solve by using a general numerical optimization algorithm. The mobile approximation algorithm (MMA) is one of the most widely used algorithms in the field of topology optimization today. But also can be widely applied to the multi-constraint situation. The method constructs an approximate function according to a function value and a first derivative value of an original function at a current design point, and provides a function independent variable value range in each iteration process by introducing a moving asymptote, so that the optimal dielectric space distribution is found.
S2, detailed design stage
S201, after the primary design of the insulation structure is completed, specific variable parameters need to be adjusted, and therefore the surface electric field is further reduced. In the detailed design stage, firstly, according to the result of the topological optimization of the dielectric distribution, in order to coordinate the contradiction between the manufacturing process and the design, the optimized gradient insulation region is converted into a high-dielectric region with invariable dielectric constant, and the manufacturing difficulty of the actual insulation structure is reduced. To find the dielectric constant of the high dielectric regioniThe influence of the dielectric constant change on the distribution of the electric field along the surface is researched. The mathematical model can be described as equation (7), the optimization goal is still to limit the maximum electric field of the convex and concave surfaces, the upper and lower bounds of the permittivity variation areminAndmax。
Figure BDA0002481339780000111
the optimal dielectric constant value can be found by adopting a parameter scanning mode or a traditional gradient descent algorithm.
S202, the insulator surface electric field distribution after the optimization of the contour shape and the optimization of the dielectric distribution is remarkably improved. The size parameter optimization is that on the basis, the sizes and the like of the high-voltage side metal accessories and the high-dielectric region are finely adjusted, and the electric field intensity along the surface is further reduced.
The optimization model can be extracted as equation (8), and the optimization variable is the fillet radius R of the convex and concave central inserts1And R2Height d of the connecting piece1And a high dielectric region length d2And (5) the size parameters are equal, and the corresponding variation range is given.
Figure BDA0002481339780000112
The multivariable multi-target optimization problem can find out the optimal size parameter by adopting a common genetic algorithm, an ant colony algorithm and the like. Thus, the design of the basin-type insulator for the GIS/GIL is completed.
In order to make the objects, technical solutions and advantages of the embodiments of the present invention clearer, the technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are some, but not all, embodiments of the present invention. The components of the embodiments of the present invention generally described and illustrated in the figures herein may be arranged and designed in a wide variety of different configurations. Thus, the following detailed description of the embodiments of the present invention, presented in the figures, is not intended to limit the scope of the invention, as claimed, but is merely representative of selected embodiments of the invention. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
Taking 550kVGIS basin-type insulator as an example, the steps of the design method of the invention are explained in detail.
Referring to fig. 1, fig. 1(a) shows a simplified simulation model of a 550kV basin-type insulator, in which a basin body is connected to a central guide rod through a connector, and the other end extends to a flange of a box body, so as to realize isolation between two electrodes at high and low potentials. The original structure has serious potential distortion on the high-voltage side, especially the concave surfaceElectric fields, it is imperative to employ appropriate electric field regulation strategies. By T1(r) and T2(r) respectively representing the contour shapes of the convex surface and the concave surface, wherein the shape optimization aims to find an optimal contour curve and relieve the local electric stress concentration phenomenon, so that the electric field distribution along the surface is more uniform.
Referring to fig. 2, according to the optimization design strategy shown in fig. 2, in the preliminary design stage i, the basin body profile is described by using a bernstein polynomial of 5 th order, and the optimization problem can be described as formula (9), which defines the thickest thickness of the basin body to be 50mm, and adjusts the thinnest thickness to realize the optimization design of structures with different thicknesses.
Figure BDA0002481339780000131
The multi-objective optimization problem is solved by using a Levenberg-Marquardt optimization algorithm, and different thickness variable parameters are obtained according to different constraint conditions, and the result is shown in Table 1. It can be seen that the maximum electric field of the convex and concave surfaces can be significantly reduced by profile optimization, and the thinner the minimum thickness, the better the optimization. However, since thinner basins result in a deterioration of the mechanical properties, in the subsequent optimization process, the T is aimed atminA structure of 40mm was developed (the structure is shown in fig. 1 (b)).
TABLE 1 contour shape optimized numerical simulation results
Figure BDA0002481339780000132
In the preliminary design stage II, the dielectric parameters in the basin body are optimally designed, the spatial distribution of the dielectric constant in the insulation is optimized by referring to the basin-type insulator under the action of the alternating voltage, the optimization problem is as shown in formula (10), the upper bound of the dielectric constant is 20, and the lower bound is epoxy/Al2O3The dielectric constant of the composite material (5.8).
Figure BDA0002481339780000141
And solving the optimization problem by using a moving asymptote optimization algorithm. The optimized dielectric distribution is shown in fig. 1(c), a gradient region with the dielectric constant of about 8 is grown on the high-voltage side, and the maximum value of the convex and concave electric fields can be further reduced to 9.12 and 9.08kV/mm, so that the electric field is further reduced on the basis of profile optimization.
In step S201, firstly, in order to reduce the difficulty of the manufacturing process, the gradient dielectric region of the tub head is replaced by a homogeneous high dielectric region according to the geometric profile, and an optimization algorithm is used to find an optimal dielectric constant value, where the optimization problem can be described as formula (11), the lower limit of the dielectric constant variation is 5.8, and the upper limit is 30, and the convex and concave electric fields are optimized.
Figure BDA0002481339780000142
The optimal dielectric constant is searched by adopting a parameter scanning mode, and the optimization result shows thatiThe optimum effect is best when the maximum value of the convex and concave electric fields is 9.34 and 9.28kV/mm respectively.
In step S202, fillet radii R for convex and concave center inserts1And R2Height d of the connecting piece1And a high dielectric region length d2The optimal parameter selection is developed, and the optimization problem is extracted as the formula (12).
Figure BDA0002481339780000151
And (3) finding out the optimal parameters by adopting a multi-target multi-parameter genetic algorithm. The numerical calculation result is shown in fig. 1(d), and the optimal parameter of the height of the connecting piece is 70 mm; the optimal parameter of the radius of the central insert at the concave side is 120 mm; the optimal value of the convex central insert is 110 mm; the optimal length parameter of the high dielectric region is 32 mm. At this time, the maximum values of the convex and concave electric fields can be reduced to 8.94 and 9.03 kV/mm.
In summary, the multilevel optimization design method for the GIS/GIL basin-type insulator with high electrical resistance, provided by the invention, divides the optimization design process of the basin-type insulator into two stages of preliminary design and detailed design, adopts a method combining shape optimization and dielectric distribution optimization, widens the design space, searches for the global optimum value, enables the maximum electric field reduction amplitude to reach more than 30%, and realizes the deep homogenization of the electric field distribution of the basin-type insulator.
The above-mentioned contents are only for illustrating the technical idea of the present invention, and the protection scope of the present invention is not limited thereby, and any modification made on the basis of the technical idea of the present invention falls within the protection scope of the claims of the present invention.

Claims (7)

1. A multilevel optimization design method for a GIS/GIL basin-type insulator with high power-resisting performance is characterized by comprising a preliminary design stage and a detailed design stage, wherein in the preliminary design stage, outline shape optimization is adopted to construct the basic appearance of the GIS/GIL basin-type insulator, a two-dimensional outline function is used for describing the shapes of a convex surface and a concave surface of a basin body, the introduction of dielectric function gradient material distribution is considered, the topological optimization is used for adjusting the dielectric property so as to actively regulate and control the electric field distribution, and the surface electric field is further deeply homogenized on the basis of the outline optimization; in a detailed design stage, according to a result of topological optimization of dielectric distribution, the optimized gradient insulation region is converted into a high-dielectric region with constant dielectric constant so as to meet the constraint of the existing manufacturing conditions, the sizes of the high-voltage side metal accessory and the high-dielectric region are finely adjusted, an optimal size parameter is found out by adopting a genetic algorithm or an ant colony algorithm, and the design of the basin-type insulator for the GIS/GIL is completed.
2. The multi-level optimized design method of the GIS/GIL basin-type insulator with high electrical endurance performance according to claim 1, wherein the preliminary design stage specifically comprises:
s101, describing the shapes of the convex surface and the concave surface of the pot body by using a two-dimensional profile function, wherein the maximum deformation of the starting point of a profile curve is set as T0The deformation at the end point of the contour is zero, and the derivatives at the start point and the end point of the function are set to be zero; adding constraint to the derivative of the curve, and finding out the optimal contour control parameter according to an optimization algorithm;
s102, on the basis of shape contour optimization, discretely dividing the basin body into a plurality of sub-areas, wherein the dielectric constant in each sub-area is the same, searching for optimal dielectric constant distribution in the insulating basin body to enable the convex and concave electric fields to be uniformly distributed, and giving a function independent variable value range in each iteration process by introducing a moving asymptote method so as to find optimal dielectric spatial distribution.
3. The multi-level optimization design method of the GIS/GIL basin-type insulator with high electrical endurance performance according to claim 2, wherein in step S101, the mathematical optimization problem is as follows:
min：E＝max{E_convex,E_concave}
＝f(C12,C13,C22,C23)
Figure FDA0002481339770000021
wherein E _ covex and E _ covave respectively represent the maximum electric field of the convex surface and the concave surface of the pot body, and C12，C13，C22And C23Is a profile control parameter, f is a function of the profile control parameter at the maximum electric field, TminAnd TmaxThe thinnest and thickest thickness, T, of the basin-type insulator1(r) and T2(r) is a profile function of the convex and concave surfaces.
4. The multi-level optimization design method for the GIS/GIL basin insulator with high electrical endurance performance according to claim 2, wherein in step S102, a solid isotropic material punishment density interpolation function is applied to each discrete unit to find an optimal density distribution, and a mathematical optimization model is as follows:
findρ＝{ρ1,ρ2,…,ρn}
Figure FDA0002481339770000022
Figure FDA0002481339770000023
0＜ρmin≤ρi≤1,i＝1,2,...,n
p＞0,q＞0,0≤w≤1
where ρ is the density vector of each grid, fEoptAs a function of the degree of homogeneity of the electric field along the surface, fgradQ is the proportionality coefficient of the gradient penalty term, E _ covex and E _ covave are the convex electric field distribution, EmeanW is the equilibrium coefficient between the degrees of homogeneity of the convex and concave electric fields, l1And l2Respectively convex and concave edge regions, Cref1And Cref2Is an initial reference value, hmeshIs the area of the grid, omega is the integral calculation domain, A is the area of the integral calculation domain, ρminFor the minimum density of the grid, p is a variable parameter of the SIMP interpolation function.
5. The multi-level optimized design method of the GIS/GIL basin-type insulator with high electrical endurance performance according to claim 1, wherein the detailed design stage specifically comprises:
s201, converting the optimized gradient insulation region into a high dielectric region with constant dielectric constant according to the result of dielectric distribution topology optimization, and finding out the optimal dielectric constant value of the high dielectric region by adopting a parameter scanning mode or a traditional gradient descent algorithm;
s202, establishing a size parameter optimization model to finely adjust the sizes of the high-voltage side metal accessories and the high-dielectric region.
6. The multi-level optimization design method of the GIS/GIL basin insulator with high electrical endurance performance according to claim 5, wherein in step S201, a mathematical model is established, and the optimization objective is to limit the maximum electric fields of the convex surface and the concave surface, specifically:
min：E＝max{E_convex,E_concave}
＝f(i)
s.t.min＜i≤max
wherein the content of the first and second substances,minandmaxthe upper and lower bounds for the variation of the dielectric constant,ifor high dielectric zone dielectric constants, E _ covex and E _ covave represent the electric field maximum for the convex and concave basins, respectively.
7. The multi-level optimized design method for GIS/GIL basin insulator with high electrical resistance as claimed in claim 5, wherein in step S202, the dimensional variation ranges of the high-voltage side metal accessories and the high-dielectric region are as follows:
min：E＝max{E_convex,E_concave}
＝f(R1,R2,d1,d2,…)
Figure FDA0002481339770000031
wherein R is1And R2Radius of the convex and concave central inserts, d1Is the height of the connecting member, d2Is the length of the high dielectric region, R1_min、R2_min、d1_min、d2_minAnd R1_max、R2_max、d1_max、d2_maxThe upper and lower limits of the corresponding parameters are respectively, and E _ covex and E _ covave respectively represent the maximum values of the electric field of the convex surface and the concave surface of the pot body.
CN202010379116.6A 2020-05-07 2020-05-07 Multilevel optimal design method for GIS/GIL basin-type insulator with high power resistance Active CN111553089B (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
CN202010379116.6A CN111553089B (en) 2020-05-07 2020-05-07 Multilevel optimal design method for GIS/GIL basin-type insulator with high power resistance

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN202010379116.6A CN111553089B (en) 2020-05-07 2020-05-07 Multilevel optimal design method for GIS/GIL basin-type insulator with high power resistance

Publications (2)

Publication Number Publication Date
CN111553089A true CN111553089A (en) 2020-08-18
CN111553089B CN111553089B (en) 2023-04-18

Family

ID=72004453

Family Applications (1)

Application Number Title Priority Date Filing Date
CN202010379116.6A Active CN111553089B (en) 2020-05-07 2020-05-07 Multilevel optimal design method for GIS/GIL basin-type insulator with high power resistance

Country Status (1)

Country Link
CN (1) CN111553089B (en)

Cited By (7)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN111983403A (en) * 2020-08-21 2020-11-24 西南大学 Method for analyzing dielectric characteristics of composite insulation structure by adopting reverse finite element technology
CN112613215A (en) * 2020-12-23 2021-04-06 平高集团有限公司 Basin-type insulator optimization method
CN113284684A (en) * 2021-06-23 2021-08-20 西安交通大学 Preparation method of three-layer gradient GIS/GIL supporting insulator
CN113470907A (en) * 2021-06-23 2021-10-01 西安交通大学 Method for inhibiting partial discharge at flange of GIS/GIL supporting insulator
CN114005628A (en) * 2021-09-29 2022-02-01 云南电网有限责任公司电力科学研究院 Preparation method of gradient insulating part
CN115408965A (en) * 2022-10-31 2022-11-29 西安交通大学 High-power chip insulation packaging local field intensity optimization method and device
CN117059212A (en) * 2023-10-11 2023-11-14 国网山东省电力公司东营供电公司 Method and system for optimizing dielectric constant distribution of functionally-graded insulating partition plate

Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN105574266A (en) * 2015-12-16 2016-05-11 西安交通大学 Multi-population genetic algorithm based comprehensive optimization design method for electrical and mechanical performance of basin-type insulator
CN109992851A (en) * 2019-03-15 2019-07-09 天津大学 A kind of dielectric constant distribution optimization method of GIS functionally gradient insulator
WO2019148758A1 (en) * 2018-02-01 2019-08-08 清华大学 Direct-current basin type insulator

Patent Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN105574266A (en) * 2015-12-16 2016-05-11 西安交通大学 Multi-population genetic algorithm based comprehensive optimization design method for electrical and mechanical performance of basin-type insulator
WO2019148758A1 (en) * 2018-02-01 2019-08-08 清华大学 Direct-current basin type insulator
CN109992851A (en) * 2019-03-15 2019-07-09 天津大学 A kind of dielectric constant distribution optimization method of GIS functionally gradient insulator

Non-Patent Citations (2)

* Cited by examiner, † Cited by third party
Title
白晓萍等: "盆式绝缘子击穿分析及防范措施", 《高压电器》 *
贾志杰等: "±500kV气体绝缘金属封闭输电线路绝缘尺寸设计", 《电网技术》 *

Cited By (15)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN111983403A (en) * 2020-08-21 2020-11-24 西南大学 Method for analyzing dielectric characteristics of composite insulation structure by adopting reverse finite element technology
CN111983403B (en) * 2020-08-21 2023-03-14 西南大学 Method for analyzing dielectric characteristics of composite insulation structure by adopting reverse finite element technology
CN112613215A (en) * 2020-12-23 2021-04-06 平高集团有限公司 Basin-type insulator optimization method
CN113470907B (en) * 2021-06-23 2022-07-12 西安交通大学 Method for inhibiting partial discharge at flange of GIS/GIL supporting insulator
CN113284684B (en) * 2021-06-23 2022-04-22 西安交通大学 Preparation method of three-layer gradient GIS/GIL supporting insulator
CN113470907A (en) * 2021-06-23 2021-10-01 西安交通大学 Method for inhibiting partial discharge at flange of GIS/GIL supporting insulator
WO2022267985A1 (en) * 2021-06-23 2022-12-29 西安交通大学 Partial discharge suppression method at flange of gis/gil supporting insulator
WO2022267986A1 (en) * 2021-06-23 2022-12-29 西安交通大学 Method for preparing three-layer gradient gis/gil support insulator
CN113284684A (en) * 2021-06-23 2021-08-20 西安交通大学 Preparation method of three-layer gradient GIS/GIL supporting insulator
CN114005628A (en) * 2021-09-29 2022-02-01 云南电网有限责任公司电力科学研究院 Preparation method of gradient insulating part
CN114005628B (en) * 2021-09-29 2022-09-16 云南电网有限责任公司电力科学研究院 Preparation method of gradient insulating part
WO2023050531A1 (en) * 2021-09-29 2023-04-06 南方电网科学研究院有限责任公司 Preparation method for gradient insulating component
CN115408965A (en) * 2022-10-31 2022-11-29 西安交通大学 High-power chip insulation packaging local field intensity optimization method and device
CN117059212A (en) * 2023-10-11 2023-11-14 国网山东省电力公司东营供电公司 Method and system for optimizing dielectric constant distribution of functionally-graded insulating partition plate
CN117059212B (en) * 2023-10-11 2024-01-05 国网山东省电力公司东营供电公司 Method and system for optimizing dielectric constant distribution of functionally-graded insulating partition plate

Also Published As

Publication number Publication date
CN111553089B (en) 2023-04-18

Similar Documents

Publication Publication Date Title
CN111553089B (en) Multilevel optimal design method for GIS/GIL basin-type insulator with high power resistance
CN113470907B (en) Method for inhibiting partial discharge at flange of GIS/GIL supporting insulator
Bamji et al. Electric field calculations with the boundary element method
CN113284684B (en) Preparation method of three-layer gradient GIS/GIL supporting insulator
CN110931184B (en) Method and device for manufacturing insulating part
CN115408965B (en) High-power chip insulation packaging local field intensity optimization method and device
CN102543323A (en) Staging dielectric constant composite insulator
CN116579040A (en) Method for optimizing geometry and material parameters of insulator based on finite element simulation
CN114005628B (en) Preparation method of gradient insulating part
Chen et al. Contour optimization of suspension insulators using dynamically adjustable genetic algorithms
Salhi et al. Corona ring improvement to surface electric field stress mitigation of 400 kV composite insulator
CN111507029A (en) Optimization method of basin-type insulator external shielding structure
CN109003797A (en) A kind of high voltage pulse transformer
Zhu et al. Optimal insulation design for new-type transmission tower with composite cross-arm
Kato et al. Optimization technique for electrical insulation design of vacuum interrupters
CN113779736B (en) Design method of dielectric gradient stress tube for cable accessory
Hisaki et al. Optimization of three-dimensional electrode contour based on surface charge method and its application to insulation design
CN110795861B (en) Optimization method for ground knife edge parameters of shielding ball of post insulator of current conversion station
Melgoza et al. Analysis of the magnetic characteristics of virtual-gap reactors
Cheng et al. A study on the profile of HVDC insulators-mathematical modeling and design considerations
CN114337294A (en) Method and device for designing magnetic integrated converter with LLC topological structure
Petkov Design issues of the high-power high-frequency transformer
KR102557170B1 (en) Calculation method of creeping distance of DC polymer insulator
CN101752042B (en) AC hanging-type composite insulator
Techaumnat et al. Optimization of a post-type spacer in a gas insulated system under three-dimensional conditions

Legal Events

Date Code Title Description
PB01 Publication
PB01 Publication
SE01 Entry into force of request for substantive examination
SE01 Entry into force of request for substantive examination
GR01 Patent grant
GR01 Patent grant