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 PDFInfo
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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
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:
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.
Drawings
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:
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
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
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:
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:
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. 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.
2. The response surface method-based 10kV cable intermediate joint explosion-proof box optimization method according to claim 1, further comprising 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.
3. The response surface method-based 10kV cable intermediate joint explosion-proof box optimization method according to claim 1, characterized in that: in step S1, the structural parameters of the main body of the explosion-proof box include: explosion-proof box material, total length, major structure diameter and end length.
4. The response surface method-based 10kV cable intermediate joint explosion-proof box optimization method according to claim 3, characterized in that: in step S2, the set of variables of the structure to be optimized of the explosion-proof box is { x }, which specifically includes: end diameter A, shell thickness B, pressure relief hole diameter C and pressure relief hole distance D.
5. The response surface method-based 10kV cable intermediate joint explosion-proof box optimization method according to claim 4, characterized in that: in steps S3 and S6, the response surface analysis method is Box-Behnken Design algorithm.
6. The response surface method-based 10kV cable intermediate joint explosion-proof box optimization method according to claim 5, characterized in that: in step S4, the finite element software is an explicit dynamics analysis software LS-DYNA.
7. The response surface method-based 10kV cable intermediate joint explosion-proof box optimization method according to claim 6, characterized in that: 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)。
8. the response surface method-based 10kV cable intermediate joint explosion-proof box optimization method according to claim 7, characterized in that: 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:
9. the response surface method-based 10kV cable intermediate joint explosion-proof box optimization method according to claim 8, characterized in that: in step S7, the regression analysis is completed using SAS software.
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