Fig. 1. Schematic diagram of the mesh grid generation in nonparallel two-electrode gap典型非平行电极间的计算节点划分示意图
Fig. 2. Computational method of the
in the gap of non-uniform pressure distribution
间隙压强不均布时的
计算方法
Fig. 3. The computational stability of DCP model as a function of N0: (a) n0 = 1; (b) n0 = 10; (c) n0 = 50; (d) n0 = 100; (e) n0 = 200; (f) n0 = 500 (An example of case 1, gap pressure: 60 Pa, critical breakdown voltage: 345 V )
DCP计算结果稳定性随N0的依变关系(a) n0 = 1; (b) n0 = 10; (c) n0 = 50; (d) n0 = 100; (e) n0 = 200; (f) n0 = 500 (case 1, 间隙压强60 Pa, 临界击穿电压345 V)
Fig. 4. The computational deviation of total ionization number in one path at different
: (a) Potential path of No.1; (b) potential path of No.21
路径总电离次数的计算值随
变化的偏差 (a) No.1候选路径; (b) No.21候选路径
Fig. 5. A diagram of the test layout击穿试验系统布置
Fig. 6. VI-t curve of the discharge process in case 1
放电过程的VI-t曲线(数据来自case 1工况)
Fig. 7. The geometry and potential path generation in the laddered plate electrode (f = 3.97)
圆片阶梯电极的结构及候选路径划分(f = 3.97)
Fig. 8. The comparison of the calculation and test results in case 1 (working medium: Xe)Case 1试验与计算结果对比(气体工质: Xe)
Fig. 9. The relevant information of the MPDT: (a) Physical photograph; (b) the electrode geometry and potential path generationMPDT电极的相关信息 (a)实物照片; (b)电极结构及候选路径划分(f = 2.47)
Fig. 10. The comparison of the calculation and test results in case 2 (working medium: Ar)Case 2试验与计算结果对比(气体工质: Ar)
Fig. 11. The input conditions and calculation results in case 3 (working medium: Xe): (a) The electrode geometry and potential path generation; (b) the calculation results of the V-p curve and the critical path distribution
Case 3的计算输入条件及计算结果(气体工质: Xe) (a)电极结构及候选路径划分(f = 2.45); (b)V-p曲线的计算结果及起始路径分布
Fig. 12. The input conditions and calculation results in case 4(working medium: Xe): (a) The electrode geometry and potential path generation; (b) the calculation results of the V-p curve and the critical path distribution
Case 4的计算输入条件及计算结果(气体工质: Xe) (a)电极结构及候选路径划分(f = 3.76); (b)V-fr曲线的计算结果及起始路径分布
Fig. 13. The input conditions and calculation results in case 5 (working medium: Ar): (a) The electrode geometry and potential path generation; (b) the calculation results of the V-p curve and the critical path distribution
Case 5的计算输入条件及计算结果(气体工质: Ar): (a) 电极结构及候选路径划分(f = 3.43); (b) V-p曲线的计算结果及起始路径分布
Fig. 14. The input conditions and calculation results in case 6(working medium: Xe): (a) The electrode geometry and potential path generation; (b) the calculation results of the V-p curve and the critical path distribution
Case 6的计算输入条件及计算结果(气体工质: Xe) (a)电极结构及候选路径划分(f = 2.84); (b)V-p曲线的计算结果及起始路径分布
Fig. 15. The formation reason of the entire V-p curve in the whole gap of case 3
整个电极的V-p曲线形成原因(case 3)
Fig. 16. The ionization collision number distribution at different gap pressures in case 3: (a) p = 40 Pa; (b) p = 80 Pa
不同压强下电极间隙的电离碰撞次数分布(case 3) (a) p = 40 Pa; (b) p = 80 Pa
Fig. 17. The distribution of
,
and
at different gap pressures and different potential paths in case 3: (a) The average
, p = 40 Pa; (b) the average
, p = 80 Pa; (c) the average
, p = 40 Pa; (d) the average
, p = 80 Pa; (e) the average
, p = 40 Pa; (f) the average
, p = 80 Pa
,
和
在不同压强、不同候选路径上的分布规律(case 3) (a)平均
, p = 40 Pa; (b)平均
, p = 80 Pa; (c)平均
, p = 40 Pa; (d)平均
, p = 80 Pa; (e)平均
, p = 40 Pa; (f)各节点的平均
, p = 80 Pa
Fig. 18. The excitation collision number distribution at different gap pressures in case 3: (a) p = 40 Pa; (b) p = 80 Pa
不同压强下电极间隙的激发碰撞次数分布(case 3) (a) p = 40 Pa; b) p = 80 Pa
碰撞类型 | 碰撞截面公式/m2 | 弹性碰撞 | $1.699 \times {10^{ - 19}}$![]() ![]() | ${E_{k,e}} \leqslant 0.159\; {\rm{ eV}}$![]() ![]() | $(0.076E_{k,e}^2 - 0.345E_{k,e}^{1.5} + 0.585{E_{k,e}} - 0.427E_{k,e}^{0.5} + 0.114)\times {10^{ - 17}}$![]() ![]() | $0.16\; {\rm{ eV}} < {E_{k,e}} \leqslant 2.8\; {\rm{ eV}}$![]() ![]() | $( - 0.002E_{k,e}^2 + 0.03E_{k,e}^{1.5} - 0.166{E_{k,e}} + 0.402E_{k,e}^{0.5} - 0.317)\times {10^{ - 17}}$![]() ![]() | $2.8\; {\rm{ eV}} < {E_{k,e}} \leqslant 24.7\; {\rm{ eV}}$![]() ![]() | $( - 0.0022E_{k,e}^{1.5} + 0.043{E_{k,e}} - 0.28567E_{k,e}^{0.5} + 0.6518)\times {10^{ - 17}}$![]() ![]() | $24.7\; {\rm{ eV}} < {E_{k,e}} \leqslant 50\; {\rm{ eV}}$![]() ![]() | $0.00064 \times {10^{ - 17}}$![]() ![]() | ${E_{k,e}} > 50\; {\rm{ eV}}$![]() ![]() | 激发碰撞 | $0.0$![]() ![]() | ${E_{k,e}} \leqslant 8.4\; {\rm{ eV}}$![]() ![]() | $(0.002E_{k,e}^2 - 0.023E_{k,e}^{1.5} + 0.098{E_{k,e}} - 0.188E_{k,e}^{0.5} + 0.135)\times {10^{ - 16}}$![]() ![]() | $8.4\; {\rm{ eV}} < {E_{k,e}} \leqslant 11\; {\rm{ eV}}$![]() ![]() | $(0.0007E_{k,e}^2 - 0.012E_{k,e}^{1.5} + 0.08{E_{k,e}} - 0.23E_{k,e}^{0.5} + 0.23)\times {10^{ - 17}}$![]() ![]() | $11\; {\rm{ eV}} < {E_{k,e}} \leqslant 25\; {\rm{ eV}}$![]() ![]() | $\begin{gathered}(0.1 \times {10^{ - 6}}E_{k,e}^2 + 0.8 \times {10^{ - 5}}E_{k,e}^{1.5} - 0.0002{E_{k,e}} + 0.002E_{k,e}^{0.5} + 0.001)\hfill \\ \times {10^{ - 17}} \hfill \\ \end{gathered} $![]() ![]() | $25\; {\rm{ eV}} < {E_{k,e}} \leqslant 500\; {\rm{ eV}}$![]() ![]() | 电离碰撞 | $0.0$![]() ![]() | ${E_{k,e}} \leqslant 12.1\; {\rm{ eV}}$![]() ![]() | $(0.00136E_{k,e}^2 - 0.0226E_{k,e}^{1.5} + 0.14{E_{k,e}} - 0.38E_{k,e}^{0.5} + 0.387)\times {10^{ - 17}}$![]() ![]() | $12.1\; {\rm{ eV}} < {E_{k,e}} \leqslant 20\; {\rm{ eV}}$![]() ![]() | $( - 0.0006E_{k,e}^2 + 0.014E_{k,e}^{1.5} - 0.133{E_{k,e}} + 0.574E_{k,e}^{0.5} - 0.93)\times {10^{ - 17}}$![]() ![]() | $20\; {\rm{ eV}} < {E_{k,e}} \leqslant 44\; {\rm{ eV}}$![]() ![]() | $( - 1.6 \times {10^{ - 6}}E_{k,e}^2 + 0.1E_{k,e}^{1.5} - 0.024{E_{k,e}} + 0.022E_{k,e}^{0.5} - 0.02)\times {10^{ - 17}}$![]() ![]() | $44\; {\rm{ eV}} < {E_{k,e}} \leqslant 360\; {\rm{ eV}}$![]() ![]() |
|
Table 1. The e-Xe collision cross-section[18].
e-Xe的碰撞截面公式[18]