CN112883618A - 10kV cable intermediate joint explosion-proof box optimization method based on response surface method - Google Patents

10kV cable intermediate joint explosion-proof box optimization method based on response surface method Download PDF

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CN112883618A
CN112883618A CN202110242346.2A CN202110242346A CN112883618A CN 112883618 A CN112883618 A CN 112883618A CN 202110242346 A CN202110242346 A CN 202110242346A CN 112883618 A CN112883618 A CN 112883618A
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钱健
王健
张明龙
舒胜文
罗翔
高源�
李衍川
张振宇
张延辉
陈伟铭
朱淑娟
陈秉熙
谢芸
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Electric Power Research Institute of State Grid Fujian Electric Power Co Ltd
State Grid Fujian Electric Power Co Ltd
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State Grid Fujian Electric Power Co Ltd
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Abstract

The invention provides a 10kV cable intermediate joint explosion-proof box optimization method based on a response surface method, which comprises the following steps: 1. establishing the structural parameters of the main body of the explosion-proof box; 2. selecting a variable set of a structure to be optimized of the explosion-proof box; 3. designing a response surface test table by using the deformation of the ring surface with the center of burst as a target and adopting a response surface analysis method; 4. modeling simulation is carried out by adopting finite element software, parameter influence analysis is carried out, and the final structural variable to be optimized is determined; 5. establishing an optimization target and a weight coefficient, and constructing an evaluation function; 6. carrying out experimental design on the final optimized variable response table and carrying out modeling simulation and result normalization processing; 7. obtaining a response curved surface through regression analysis, wherein the minimum value of the curved surface response corresponds to the optimal structural variable, and obtaining an optimized 10kV cable intermediate joint explosion-proof box; 8. and substituting the obtained product into finite element software to perform modeling simulation, and verifying the correctness of the optimization result. The invention can quickly and effectively obtain an optimized 10kV cable intermediate connector explosion-proof box structure.

Description

10kV cable intermediate joint explosion-proof box optimization method based on response surface method
Technical Field
The invention relates to the technical field of power cables, in particular to a 10kV cable intermediate joint explosion-proof box optimization method based on a response curved surface method.
Background
By virtue of excellent insulating properties, mechanical properties and increasingly simple production processes, 10kV cross-linked polyethylene (XLPE) cables have been used in most urban distribution networks at rates exceeding 90%. The cable intermediate head is an important component of a 10kV cable line, and can prolong the length of the cable line while maintaining the insulating property of the cable, so that the continuity and the integrity of the cable line are ensured. Operational experience shows that a cable middle joint fault due to a mistake of an installation process occurs, and even serious accidents such as cable head explosion and cable trench fire occur. In order to effectively avoid secondary damage caused by explosion and fire in cable joint faults and avoid secondary loss caused by fault situation expansion, a series of high-voltage cable joint explosion-proof devices, such as explosion-proof boxes, are widely applied.
With the increasingly wide application of explosion-proof box products, further research on the explosion-proof box products is necessary. Explosion-proof box that circulates in the market at present is mostly variable cross section cylinder plus pressure release hole trompil structure, and the many symmetries of pressure release hole trompil is in the torus both sides of exploding. Specific structural parameters of the explosion-proof box are not unified and standardized at present, and the failure time of the explosion-proof box in practical application still occurs according to the experience of manufacturers in production and design.
Disclosure of Invention
Aiming at the defects and shortcomings of the prior art, the invention provides a 10kV cable intermediate joint explosion-proof box optimization method based on a response curved surface method, an optimization flow and a method thereof are provided, the 10kV cable joint explosion-proof box obtained through optimization can effectively inhibit the destructiveness of the intermediate joint during fault short circuit, reduce the accident rate caused by the short circuit of the cable intermediate joint, ensure the safe production, and realize the optimization of both explosion-proof performance and economy.
The main process comprises the following steps: 1. establishing the structural parameters of the main body of the explosion-proof box; 2. selecting a variable set of a structure to be optimized of the explosion-proof box; 3. designing a response surface test table by using the deformation of the ring surface with the center of burst as a target and adopting a response surface analysis method; 4. modeling simulation is carried out by adopting finite element software, parameter influence analysis is carried out, and the final structural variable to be optimized is determined; 5. establishing an optimization target and a weight coefficient, and constructing an evaluation function; 6. carrying out experimental design on the final optimized variable response table and carrying out modeling simulation and result normalization processing; 7. obtaining a response curved surface through regression analysis, wherein the minimum value of the curved surface response corresponds to the optimal structural variable, and obtaining an optimized 10kV cable intermediate joint explosion-proof box; 8. and substituting the obtained product into finite element software to perform modeling simulation, and verifying the correctness of the optimization result. The invention can quickly and effectively obtain an optimized 10kV cable intermediate connector explosion-proof box structure.
The invention specifically adopts the following technical scheme:
a10 kV cable intermediate joint explosion-proof box optimization method based on a response surface method is characterized by comprising the following steps:
step S1: determining the structural parameters of the main body of the explosion-proof box;
step S2: selecting a variable set of a structure to be optimized of the explosion-proof box;
step S3: designing a response surface test table by using the deformation of the ring surface with the center of burst as a target and adopting a response surface analysis method;
step S4: modeling simulation is carried out by adopting finite element software, parameter influence analysis is carried out, and parameters which have obvious influence on a target are determined as final structural variables to be optimized;
step S5: establishing an optimization target and a weight coefficient of each target, and constructing a final evaluation function;
step S6: adopting a response surface analysis method to carry out experimental design on the final optimization variable response table established in the step S4, sequentially substituting the response table into finite element software to carry out modeling simulation, and carrying out normalization processing on the simulation result;
step S7: and obtaining a response curved surface of the evaluation function about the structural variable to be optimized through regression analysis, wherein the minimum value of the response of the curved surface corresponds to the optimal structural variable, and obtaining the optimized 10kV cable intermediate joint explosion-proof box structure.
Preferably, the method further comprises the step S8: and substituting the optimized 10kV cable intermediate joint explosion-proof box structure into finite element software again for modeling simulation, and verifying the optimization result.
Preferably, in step S1, the explosion-proof box main body structure parameters include: explosion-proof box material, total length, major structure diameter and end length.
Preferably, in step S2, the set of variables of the structure to be optimized of the explosion-proof box is { x }, and specifically includes: end diameter A, shell thickness B, pressure relief hole diameter C and pressure relief hole distance D.
Preferably, in steps S3 and S6, the response surface analysis method is a Box-Behnken Design algorithm.
Preferably, in step S4, the finite element software is an explicit dynamics analysis software LS-DYNA.
Preferably, in step S5: the optimization target is as follows: toroidal deformation peak f1(x) Central stress peak f of end socket2(x) Mass f of explosion-proof case3(x) The weight coefficients are respectively omega1、ω2、ω3And satisfy omega1+ω2+ω3The evaluation function is 1:
f(x)＝ω1f1(x)2+ω2f2(x)2+ω3f3(x)2(1)。
preferably, in step S6: the method for carrying out normalization processing on the simulation result comprises the following steps: selecting a certain inner diameter and shell thickness explosion-proof box ring surface deformation peak value f10Central stress peak f of end socket20Simulation result and self weight f of explosion-proof box30For the reference data set, the mathematical formula for normalization is:
Figure BDA0002962345170000031
preferably, in step S7, the regression analysis is performed using SAS software.
The invention and the optimal scheme thereof are based on a response surface method, and an optimized 10kV cable intermediate joint explosion-proof box can be obtained. The optimized 10kV cable joint explosion-proof box can effectively inhibit the destructiveness of the intermediate joint during fault short circuit, reduce the accident rate caused by the short circuit of the intermediate joint of the cable, ensure the safe production and realize the optimization of both explosion-proof performance and economy.
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The invention is described in further detail below with reference to the following figures and detailed description:
FIG. 1 is a schematic overall flow chart of a method according to an embodiment of the present invention;
FIG. 2 is a schematic diagram illustrating structural parameters of an explosion-proof box main body of a middle joint of a 10kV cable and variables to be optimized according to an embodiment of the invention;
fig. 3 is a schematic diagram 1 of significance analysis results of variables to be optimized, namely the inner diameter a, the shell thickness B, the aperture C and the pitch D of the explosion-proof box of the intermediate joint of the 10kV cable in the embodiment of the invention;
fig. 4 is a schematic diagram 2 of the significance analysis results of the to-be-optimized variables of the inner diameter a, the shell thickness B, the aperture C and the pitch D of the explosion-proof box of the intermediate joint of the 10kV cable in the embodiment of the invention;
fig. 5 is a schematic view of a response surface obtained by regression analysis of an evaluation function of an explosion-proof box of a middle joint of a 10kV cable in an embodiment of the invention.
Detailed Description
In order to make the features and advantages of the present invention comprehensible, embodiments accompanied with figures are described in detail as follows:
the overall flow of the 10kV cable intermediate joint explosion-proof box optimization method based on the response surface method provided by the embodiment is shown in fig. 1, and comprises the following steps:
step S1: according to the basic structure of the explosion-proof box product which is the mainstream in the market, the main structure parameters of the explosion-proof box of the middle joint of the 10kV cable are determined, and the parameters comprise the material, the total length, the diameter and the end head length of the explosion-proof box, see fig. 2.
Step S2: selecting a structure variable set { x } to be optimized of the 10kV cable intermediate joint explosion-proof box, and specifically comprising the following steps: tip diameter a, shell thickness B, vent diameter C, and vent distance D, see fig. 2.
Step S3: designing a response surface experiment table by adopting a Box-Behnken Design algorithm in a response surface analysis method by taking the deformation amount of the ring surface with the explosive center as a target;
step S4: modeling simulation is carried out by adopting explicit dynamic analysis software LS-DYNA, parameter influence analysis is carried out, and parameters which have obvious influence on a target are determined as final structural variables to be optimized;
step S5: by the deformation peak f of the ring surface with the center of burst1(x) Central stress peak f of end socket2(x) And explosion-proof boxMass f3(x) To optimize the objectives, a weight factor ω is established for each objective1、ω2、ω3And satisfy omega1+ω2+ω3The final evaluation function was constructed as 1:
f(x)＝ω1f1(x)2+ω2f2(x)2+ω3f3(x)2 (5)
step S6: and (4) carrying out experimental design on the final optimization variable response table established in the step S4 by adopting a response surface analysis method, sequentially substituting the response table into explicit dynamic analysis software LS-DYNA to carry out modeling simulation, and carrying out normalization processing on the simulation result.
The specific normalization processing process comprises the following steps: selecting a certain inner diameter and shell thickness explosion-proof box ring surface deformation peak value f10Central stress peak f of end socket20Simulation result and self weight f of explosion-proof box30For the reference data set, the normalized mathematical formula is:
Figure BDA0002962345170000041
step S7: performing regression analysis through SAS software to obtain a response curved surface of an evaluation function about a structural variable to be optimized, wherein the minimum value of the response of the curved surface corresponds to the optimal structural variable, and obtaining an optimized 10kV cable intermediate joint explosion-proof box;
step S8: and substituting the optimized 10kV cable intermediate joint explosion-proof box into the explicit dynamic analysis software LS-DYNA again for modeling simulation, and verifying the correctness of the optimization result.
Example 1:
in this embodiment, an explosion-proof box structure of a middle joint of a certain mainstream 10kV cable is taken as an example.
1) The parameters of the main structure of the explosion-proof box of the middle joint of the 10kV cable are determined, as shown in fig. 2, wherein the material of the explosion-proof box is 304 stainless steel, the total length is 1400mm, the diameter of the main structure is 200mm, and the length of the end is 100 mm.
2) Selecting a structure variable set { x } to be optimized of the 10kV cable intermediate joint explosion-proof box, and specifically comprising the following steps: tip diameter a, shell thickness B, vent diameter C, and vent distance D, as shown in fig. 2. In order to design a response surface experimental table by using a response surface analysis method, four variables to be optimized are all three levels, as shown in table 1.
TABLE 1 parameter levels of variables to be optimized
Level of Inner diameter A/mm Shell thickness B/mm Pore diameter C/mm Pitch D/mm
-1 95 1.5 25 200
0 100 2 30 300
1 105 2.5 35 400
3) The table 1 is designed by adopting a Box-Behnken Design algorithm, 25 groups of parameters can be obtained, as shown in table 2, modeling simulation is carried out by adopting explicit dynamic analysis software LS-DYNA, and a simulation result of the toroidal deformation of the burst center is obtained, as shown in table 2.
TABLE 2 simulation results of response surface experiment table
Figure BDA0002962345170000051
Figure BDA0002962345170000061
And substituting the corresponding simulation calculation results, and further calculating and analyzing by using Box-Behnken Design to obtain an analysis of variance table shown in a table 3.
Table 3 Box-Behnken Design ANOVA table
Figure BDA0002962345170000062
Figure BDA0002962345170000071
As can be seen by designing the ANOVA table with Box-Behnken Design, the F value of the model is 179.17, which means that the model is significant. Wherein, the P value represents the significance of the influencing factor, and when the P value is less than 0.05, the influencing factor is significant. In this example, A, B were all <0.0001, with high significance. It can be seen that C, D was not significantly affected in any of the references. The significance of the effect was further analyzed A, B, C, D, and the results are shown in fig. 3 and 4, which further validate the above analysis results.
Therefore, the tip diameter a and the shell thickness B are optimally designed as the subsequent main target variables.
4) By the deformation peak f of the ring surface with the center of burst1(x) Central stress peak f of end socket2(x) And explosion proof case mass f3(x) For optimizing the targets, a judgment matrix method is adopted to determine the weight coefficient omega of each target1、ω2、ω3And satisfy omega1+ω2+ω3The final evaluation function was constructed as 1:
Figure BDA0002962345170000072
5) and (3) carrying out experimental design on the two final optimization variable response tables established in the last step by adopting a response surface analysis method, sequentially substituting the two final optimization variable response tables into the explicit dynamic analysis software LS-DYNA to carry out modeling simulation, and carrying out normalization processing on a simulation result.
The specific normalization processing process comprises the following steps: selecting an explosion-proof box simulation result with the end diameter of 200mm and the shell thickness of 3mm as datum data, and specifically: toroidal deformation peak f105.569mm, head center stress peak value f201.719GPa and self weight f of explosion-proof box30The normalized mathematical formula is 3.192 kg:
Figure BDA0002962345170000081
the normalized simulation results are shown in table 4.
TABLE 4 simulation results after normalization
Group of End diameter A/mm Shell thickness B/mm Evaluation function f (x)
1 95.00 1.50 134.512
2 105.00 1.50 115.179
3 95.00 2.50 104.946
4 105.00 2.50 112.81
5 92.93 2.00 117.232
6 107.07 2.00 102.542
7 100.00 1.29 171.805
8 100.00 2.71 118.492
9 100.00 2.00 100
6) Regression analysis is performed through SAS software to obtain a response surface of the evaluation function about the structural variable to be optimized, and the result is shown in FIG. 5. The minimum value 97.350 of the curved surface response corresponds to the optimal structural variable, namely A is 100.97mm, B is 2.27mm, and therefore the optimized explosion-proof box for the intermediate joint of the 10kV cable is obtained.
7) And substituting the optimized 10kV cable intermediate joint explosion-proof box into an explicit dynamic analysis software LS-DYNA again for modeling simulation, setting the diameter A of an end head to be 101mm, setting the thickness B of a shell to be 2.3mm, setting the simulation calculation result P of an evaluation function to be 100.781, and setting the regression analysis error to be 3.52%, so that the requirement of engineering application errors is met.
The patent is not limited to the above-mentioned preferred embodiments, and any other various methods for optimizing the explosion-proof box of the middle joint of the 10kV cable based on the response surface method can be derived from the teaching of the patent, and all the equivalent changes and modifications made according to the claims of the present invention shall fall within the scope of the present patent.

Claims (9)

1.一种基于响应曲面法的10kV电缆中间接头防爆盒优化方法，其特征在于，包括以下步骤：1. a 10kV cable intermediate joint explosion-proof box optimization method based on response surface method, is characterized in that, comprises the following steps: 步骤S1：确定防爆盒主体结构参数；Step S1: determine the main structural parameters of the explosion-proof box; 步骤S2：选取防爆盒的待优化结构变量集；Step S2: select the structural variable set to be optimized of the explosion-proof box; 步骤S3：以爆心环面形变量为目标，采用响应曲面分析法设计响应面实验表；Step S3: Designing a response surface experiment table by using the response surface analysis method with the shape variable of the blast center torus as the target; 步骤S4：采用有限元软件进行建模仿真，开展参数影响分析，确立对目标有显著影响的参数作为最终的待优化结构变量；Step S4: use finite element software for modeling and simulation, carry out parameter influence analysis, and establish parameters that have a significant impact on the target as the final structural variables to be optimized; 步骤S5：确立优化目标和各目标的权重系数，构建最终的评价函数；Step S5: establishing the optimization target and the weight coefficient of each target, and constructing the final evaluation function; 步骤S6：采用响应曲面分析法对步骤S4确立的最终优化变量响应表进行实验设计，依次代入有限元软件中进行建模仿真，并对仿真结果进行归一化处理；Step S6: using the response surface analysis method to carry out experimental design on the final optimized variable response table established in step S4, successively substitute it into the finite element software for modeling and simulation, and perform normalization processing on the simulation results; 步骤S7：通过回归分析得到评价函数关于待优化结构变量的响应曲面，曲面响应最小值即对应最优结构变量，获得优化后的10kV电缆中间接头防爆盒结构。Step S7: Obtain the response surface of the evaluation function with respect to the structural variables to be optimized through regression analysis, the minimum value of the surface response corresponds to the optimal structural variable, and the optimized 10kV cable intermediate joint explosion-proof box structure is obtained. 2.根据权利要求1所述的基于响应曲面法的10kV电缆中间接头防爆盒优化方法，其特征在于，还包括步骤S8：将优化后的10kV电缆中间接头防爆盒结构重新代入有限元软件中进行建模仿真，验证优化结果。2. the 10kV cable intermediate joint explosion-proof box optimization method based on the response surface method according to claim 1, is characterized in that, also comprises step S8: the optimized 10kV cable intermediate joint explosion-proof box structure is re-substituted in finite element software to carry out Modeling and simulation to verify the optimization results. 3.根据权利要求1所述的基于响应曲面法的10kV电缆中间接头防爆盒优化方法，其特征在于：步骤S1中，所述防爆盒主体结构参数包括：防爆盒材质、总长度，主体结构直径和端头长度。3. The method for optimizing the explosion-proof box of the 10kV cable intermediate joint based on the response surface method according to claim 1, wherein in step S1, the main structural parameters of the explosion-proof box include: material of the explosion-proof box, total length, diameter of the main structure and end length. 4.根据权利要求3所述的基于响应曲面法的10kV电缆中间接头防爆盒优化方法，其特征在于：步骤S2中，所述防爆盒的待优化结构变量集为{x}，具体包括：端头直径A、壳体厚度B、泄压孔直径C和泄压孔距离D。4. The method for optimizing the explosion-proof box of the 10kV cable intermediate joint based on the response surface method according to claim 3, wherein: in step S2, the set of structural variables to be optimized of the explosion-proof box is {x}, which specifically includes: Head diameter A, shell thickness B, pressure relief hole diameter C and pressure relief hole distance D. 5.根据权利要求4所述的基于响应曲面法的10kV电缆中间接头防爆盒优化方法，其特征在于：步骤S3和步骤S6中，所述响应曲面分析法为Box-Behnken Design算法。5. The method for optimizing the explosion-proof box of the 10kV cable intermediate joint according to the response surface method according to claim 4, characterized in that: in step S3 and step S6, the response surface analysis method is the Box-Behnken Design algorithm. 6.根据权利要求5所述的基于响应曲面法的10kV电缆中间接头防爆盒优化方法，其特征在于：步骤S4中，所述有限元软件为显式动力分析软件LS-DYNA。6 . The method for optimizing the explosion-proof box of the 10kV cable intermediate joint according to the response surface method according to claim 5 , wherein in step S4 , the finite element software is an explicit dynamic analysis software LS-DYNA. 7 . 7.根据权利要求6所述的基于响应曲面法的10kV电缆中间接头防爆盒优化方法，其特征在于：步骤S5中：7. the 10kV cable intermediate joint explosion-proof box optimization method based on response surface method according to claim 6, is characterized in that: in step S5: 所述优化目标为：爆心环面形变量峰值f1(x)、封头中心应力峰值f2(x)、防爆盒质量f3(x)，权重系数分别为ω1、ω2、ω3，且满足ω1+ω2+ω3＝1，评价函数为：The optimization objectives are: the peak value f 1 (x) of the deformation variable of the blast center toroid, the peak stress f 2 (x) of the head center, and the mass f 3 (x) of the explosion-proof box, and the weight coefficients are ω 1 , ω 2 , ω 3 respectively , and satisfy ω 1 +ω 2 +ω 3 =1, the evaluation function is: f(x)＝ω1f1(x)2+ω2f2(x)2+ω3f3(x)2 (1)。f(x)=ω 1 f 1 (x) 2 +ω 2 f 2 (x) 2 +ω 3 f 3 (x) 2 (1). 8.根据权利要求7所述的基于响应曲面法的10kV电缆中间接头防爆盒优化方法，其特征在于：步骤S6中：8. the 10kV cable intermediate joint explosion-proof box optimization method based on response surface method according to claim 7, is characterized in that: in step S6: 所述对仿真结果进行归一化处理的方法为：选择某一内径和壳厚防爆盒爆心环面形变量峰值f10、封头中心应力峰值f20的仿真结果和防爆盒自重f30为基准数据组，进行归一化的数学公式为：The method for normalizing the simulation results is as follows: selecting a certain inner diameter and shell thickness of the explosion-proof box with the peak value f 10 of the toroidal deformation of the explosion-proof box, the simulation result of the peak center stress of the head f 20 and the self-weight f 30 of the explosion-proof box as the benchmarks The data set, the mathematical formula for normalization is:
Figure FDA0002962345160000021
Figure FDA0002962345160000021
 9.根据权利要求8所述的基于响应曲面法的10kV电缆中间接头防爆盒优化方法，其特征在于：步骤S7中，所述回归分析采用SAS软件完成。9 . The method for optimizing the explosion-proof box of the 10kV cable intermediate joint according to the response surface method according to claim 8 , wherein in step S7 , the regression analysis is completed by using SAS software. 10 .
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