脉冲放电破岩等离子体通道长度预测方法

刘毅; 廖洪彬; 程晋; 李柳霞; 林福昌; 赵勇

doi:10.11884/HPLPB202436.230432

脉冲放电破岩等离子体通道长度预测方法

doi: 10.11884/HPLPB202436.230432

刘毅^{1, 2,},
廖洪彬¹,
程晋³,
李柳霞^{1, 2},
林福昌^{1, 2},
赵勇¹

1.
华中科技大学电气与电子工程学院强电磁技术全国重点实验室，武汉 430074
2.
华中科技大学脉冲功率技术教育部重点实验室，武汉 430074
3.
中国石油集团工程技术研究院有限公司，北京 102206

基金项目: 国家自然科学基金项目(52177144)

详细信息

作者简介:
刘　毅，yiliu@hust.edu.cn

中图分类号: TM89
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- 被引次数: 0
出版历程
- 收稿日期: 2023-12-07
- 修回日期: 2024-02-19
- 录用日期: 2024-02-23
- 网络出版日期: 2024-02-29
- 刊出日期: 2024-05-15

Method for predicting plasma channel length for rock breaking by pulsed discharge

Liu Yi^{1, 2
,},
Liao Hongbin¹,
Cheng Jin³,
Li Liuxia^{1, 2},
Lin Fuchang^{1, 2},
Zhao Yong¹

1.
State Key Laboratory of Advanced Electromagnetic Technology, School of Electrical and Electronic Engineering, Huazhong University of Science and Technology, Wuhan 430074, China
2.
Key Laboratory of Pulsed Power Technology of Ministry of Education, Huazhong University of Science and Technology, Wuhan 430074, China
3.
CNPC Engineering Technology R&D Company Limited, Beijing 102206, China

摘要

摘要: 针对高压脉冲放电破岩电弧等离子体通道长度难以预测的问题，构建了高压脉冲放电破岩综合试验平台，测量了花岗岩-自来水组合介质下电弧等离子体通道发展特性及典型电流、电压参数，提取了不同电极间距和脉冲放电次数下岩石表面形成的破碎区域。基于能量平衡方程建立了岩石中电弧等离子体通道的阻抗模型，采用迭代优化算法获取阻抗模型参数的近似最优解，模型计算结果与试验结果的相对误差小于7%。基于优化参数，利用实测电流电压数据预测了等离子体通道的长度。模型预测的等离子体通道长度与实测值的绝对误差均处于毫米量级，且两者的相对误差小于10%，为高压脉冲放电破岩系统电源-电极负载的匹配设计提供了理论支撑。
- 脉冲放电 /
- 高压脉冲放电破岩 /
- 电弧等离子体 /
- 等离子体通道长度预测
Abstract: Aiming at the difficulty of predicting the length of rock-breaking arc plasma channel by high voltage pulse discharge, a comprehensive test platform for rock-breaking arc plasma channel by high voltage pulse discharge was constructed. The development characteristics and typical current and voltage parameters of arc plasma channel under granite-tap water combined medium were measured, and the broken region formed on the rock surface under different electrode spacing and pulse discharge times was extracted. Based on the energy balance equation, the impedance model of the arc plasma channel in rock is established. The approximate optimal solution of the impedance model parameters is obtained by iterative optimization algorithm. The relative error between the calculated results and the experimental results is less than 7%. Based on the optimized parameters, the length of plasma channel is predicted by the measured current and voltage data. The absolute error between the plasma channel length predicted by the model and the measured value is in the order of mm, and the relative error is less than 10%, which provides theoretical support for the matching design of power-electrode load in the high-voltage pulse discharge rock breaking system.
- pulse discharge /
- high voltage pulse discharge rock breaking /
- arc plasma /
- plasma channel length prediction

HTML全文

图 1 高压脉冲放电破岩综合试验平台

Figure 1. Comprehensive test platform for rock breaking by high voltage pulse discharge

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图 2 典型试验结果

Figure 2. Results of typical test

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图 3 破碎区域脱模结果

Figure 3. Demolding results of the crushing area

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图 4 高压脉冲放电破岩等效电气回路

Figure 4. Equivalent electrical circuit of high voltage pulse discharge rock breaking

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图 5 等离子体通道长度预测流程图

Figure 5. Flow chart of plasma channel length prediction

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图 6 破碎区域切面轮廓长度测量方法

Figure 6. Method for measuring the length of the section profile of the crushing area

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图 7 模型参数优化帕累托前沿

Figure 7. Pareto front of model parameter optimization

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图 8 试验数据与模型数据对比

Figure 8. Comparison between test data and model data

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图 9 等离子体通道长度预测帕累托前沿

Figure 9. Pareto front of plasma channel length prediction

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表 1 No.2破岩试验数据

Table 1. Data of rock breaking test No.2

I_emax/kA	I_emin/kA	T_Ie/μs	V_emax/kV	V_emin/kV	T_Ve/μs	l_ch/cm
13.258	−9.285	5.132	300.321	−46.507	5.144	3.380

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表 2 最优解OS的取值

Table 2. The value of optomal solution

ξ	γ	f	ε_s	r(0)/cm	T(0)/K	n(0)
0.0039	1.1309	0.4228	1.7456×10⁻²⁰	7.0717×10⁻⁶	1.7998×10⁴	3.4254×10²⁹

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表 3 试验数据与模型数据误差

Table 3. Errors between test data and model data

I_max/kA	I_min/kA	T_I/μs	V_max/kV	V_min/kV	T_V/μs
13.229(0.22%)	−8.631(7.00%)	5.318(3.62%)	300.54(0.07%)	−48.869(5.08%)	5.028(2.26%)

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表 4 长度预测值与脱模结果对比

Table 4. Comparison of length between predicted values and results of demolding

No.	predicted value/cm	length of section contour of last crushing area/cm	length of section contour of the crushing area/cm	average/cm	error/%
1	2.362	2.190	2.936	2.563	7.842
4	5.194	5.107	5.222	5.164	0.581
6	6.494	6.382	7.111	6.746	3.736
7	7.736	7.061	7.407	7.234	6.939
9	7.324	6.874	7.727	7.300	0.309

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