基于Kriging模型的水中放电沉积能量优化分析

赵景林; 王志强; 王进君; 张东东; 李国锋

doi:10.11884/HPLPB202335.220240

基于Kriging模型的水中放电沉积能量优化分析

doi: 10.11884/HPLPB202335.220240

大连理工大学电气工程学院，辽宁大连 116024

基金项目: 国家自然科学基金项目(51607023)；辽宁省科学技术计划项目（2021-BS-293）

详细信息

作者简介:
赵景林，2855806591@qq.com

通讯作者:
王志强，wangzq@dlut.edu.cn

中图分类号: TM89
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出版历程
- 收稿日期: 2022-08-05
- 修回日期: 2022-10-12
- 录用日期: 2022-10-14
- 网络出版日期: 2022-10-18
- 刊出日期: 2023-03-01

Deposited energy optimization analysis of discharge in water based on Kriging model

College of Electrical Engineering, Dalian University of Technology, Liaoning Dalian 116024

摘要

摘要: 水中脉冲放电过程较为复杂，放电参数与放电沉积能量之间没有明确的函数关系。为了获得最佳沉积能量，明晰不同放电参数相互作用对沉积能量的影响，获得最佳放电参数组合，本文搭建了水中高压脉冲放电实验平台，结合Kriging代理模型探究了电压、电极间距和电导率三种放电参数对水中放电沉积能量的影响；利用遗传算法进行全局寻优，确定了最佳放电参数组合。研究结果表明：通过交叉验证评估该模型的均方根误差为6.95%，满足精度要求；外加电压一定时，在电极间距和电导率的协同作用下，沉积能量的变化呈现多峰值特性；在电压、电极间距和电导率分别为17 kV、2.28 mm和0.8 mS/cm的条件下产生的沉积能量最大，为最佳参数组合；通过实验验证了在最佳点的预测值和实际值相对偏差在8%以内。
- 水中放电 /
- 代理模型 /
- 沉积能量 /
- 放电参数 /
- 交叉验证
Abstract: The pulsed discharge process in water is complex and there is no clear functional relationship between the discharge parameters and the discharge deposition energy. To obtain the optimum deposition energy, clarify the influence of different discharge parameters on the deposition energy and obtain the best combination of discharge parameters, this paper builds a high-voltage pulse discharge test platform in water and investigates the influence of three discharge parameters, namely voltage, electrode spacing and conductivity, on the deposition energy of discharge in water by combining with the Kriging agent model. The optimal combination of discharge parameters was determined by using a genetic algorithm. The results of the study show that: the root mean square error of the model is 6.95%, which satisfies the accuracy requirement through cross-validation; the deposition energy varies with multiple peaks under the synergistic effect of electrode spacing and conductivity at a certain applied voltage; the best combination of voltage, electrode spacing and conductivity is 17 kV, 2.28 mm and 0.8 mS/cm respectively, which produces the highest deposition energy. The relative deviation between predicted and actual values at the optimum point were experimentally verified to be within 8%.
- discharge in water /
- surrogate model /
- deposited energy /
- discharge parameters /
- cross validation

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图 1 水中高压脉冲放电实验平台示意图

Figure 1. Schematic diagram of underwater high-voltage pulse discharge experiment system

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图 2 水中高压脉冲放电典型电压电流波形图

Figure 2. Typical voltage and current waveform of high voltage pulse discharge in water

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图 3 流注发展过程

Figure 3. Plasma channel development process

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图 4 沉积能量的计算结果图

Figure 4. Results of deposited energy calculation

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图 5 优化设计流程图

Figure 5. Flowchart of the optimization search analysis

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图 6 20个初始样本点的空间分布

Figure 6. Spatial distribution of the 20 initial sample points

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图 7 交叉验证计算过程

Figure 7. Cross-validation of the computational process

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图 8 均方根误差随加点次数的变化

Figure 8. Variation of root mean square error with the number of additions

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图 9 沉积能量的多峰值特性

Figure 9. Multi-peak characteristics of deposited energy

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图 10 全局寻优流程图

Figure 10. Global optimization search flow chart

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图 11 实验结果与最优值的对比

Figure 11. Comparison between experimental results and optimal deposited energy

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表 1 实验变量及其范围

Table 1. Experimental variables and their scope

voltage/kV	electrode spacing/mm	conductivity/(mS·cm⁻¹)
13−17	2−5	0.2−0.8

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表 2 反归一化后的部分初始样本点及对应的实验结果

Table 2. Some of the initial sample points after inverse normalization and the corresponding experimental results

voltage/kV	conductivity/(mS·cm⁻¹)	electrode spacing/mm	deposited energy/J
14.1	0.26	4.53	40.46
13.4	0.77	4.37	26.00
16.2	0.33	2.16	62.3
15.1	0.45	4.68	46.87
15.7	0.64	2.32	51.81
14.5	0.52	2.00	41.74
13.8	0.39	2.79	40.09
16.8	0.55	2.95	59.76

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表 3 反归一化后的部分新增点及对应的实验结果

Table 3. After the normalization of some of the new points and the corresponding experimental results

voltage/kV	conductivity/(mS·cm⁻¹)	electrode spacing/mm	deposited energy/J
17	0.331	2.28	67.41
17	0.425	2	66.78
17	0.2	2.04	66.51
17	0.8	3.5	65.6
17	0.65	2.19	66.93

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表 4 不同电导率下，电极间距变化对沉积能量的影响

Table 4. Effect of electrode spacing variation on deposited energy at different conductivities

conductivity/(mS·cm⁻¹)	spacing variation Δd/mm	deposited energy variation/J
0.2	4	17.59
0.4	4	5.04
0.6	4	8.96
0.8	4	13.56
1	4	11.4

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表 5 模型的全局最优解

Table 5. Global optimal solution of the model

voltage/kV	conductivity/(mS·cm⁻¹)	electrode spacing/mm	optimal deposited energy/J
17	0.8	2.28	68.73

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