电场积分方程(electric field integral equation,EFIE)“低频崩溃”现象是指当电磁波波长远大于离散单元的尺寸时,分析结果不准确的现象。它的发生与计算机浮点数的字长有关,高精度浮点数的普及有助于缓解低频崩溃现象的发生,但目前还...电场积分方程(electric field integral equation,EFIE)“低频崩溃”现象是指当电磁波波长远大于离散单元的尺寸时,分析结果不准确的现象。它的发生与计算机浮点数的字长有关,高精度浮点数的普及有助于缓解低频崩溃现象的发生,但目前还没有关于不同精度的浮点数的低频崩溃临界阈值的研究报道。本文定量研究了不同字长浮点数的EFIE不发生低频崩溃的适用范围,以便在该适用范围内,研究人员仅须简单地修改现有EFIE代码的浮点数字长就可以进行电磁特性的准确分析而不发生低频崩溃,避免现有低频问题都需要修改基函数或积分方程等分析技术,为低频电磁分析增加了一种可选择的简便解决办法。经过数值算例的验证,高精度浮点数的EFIE可以将低频崩溃现象发生的离散网格的电尺寸降低到2.5×10^(−13),这已经能够处理我们常见的低频崩溃问题。展开更多
Investigating the characteristics of synchronous electrical explosions of multiple exploding foil initiators(EFI)in the same circuit,a four-point series-connected EFI circuit utilizing flexible flat cables was designe...Investigating the characteristics of synchronous electrical explosions of multiple exploding foil initiators(EFI)in the same circuit,a four-point series-connected EFI circuit utilizing flexible flat cables was designed to analyze the electrical explosion characteristics.Loop current and terminal voltages of each EFI were recorded to characterize the multi-point series-connected EFI explosion.The effects of voltage,capacitance,and loop length on the response time,energy deposition,and energy utilization efficiency of the multi-point series-connected EFI were explored.Based on the FIRESET model,a mathematical model for the multi-point series-connected EFI explosion was developed,and the influence of initial resistivity on the peak voltage during electrical explosion was quantitatively analyzed.Results indicate that the primary factor influencing the response time is the conduction performance of the switch,while the synchronization deviation is minimally affected by variations in voltage and capacitance.At an inter-electrode spacing of 50 mm,within the voltage range of 1,500–3,000 V and capacitance range of 0.22–1.5μF,the minimum and maximum synchronization deviations of the four-point EFI were 2 ns and 11 ns,respectively.As input energy increases,the deposited energy of the EFI rises,but the overall energy utilization efficiency decreases.The computational results of the proposed model align well with the experimental data.Furthermore,higher initial resistivity in the series-connected circuit corresponds to a higher peak voltage during electrical explosion.This work elucidates the characteristics of multi-point series-connected EFI explosions,offering valuable insights for the design of multi-point EFI circuits.展开更多
文摘电场积分方程(electric field integral equation,EFIE)“低频崩溃”现象是指当电磁波波长远大于离散单元的尺寸时,分析结果不准确的现象。它的发生与计算机浮点数的字长有关,高精度浮点数的普及有助于缓解低频崩溃现象的发生,但目前还没有关于不同精度的浮点数的低频崩溃临界阈值的研究报道。本文定量研究了不同字长浮点数的EFIE不发生低频崩溃的适用范围,以便在该适用范围内,研究人员仅须简单地修改现有EFIE代码的浮点数字长就可以进行电磁特性的准确分析而不发生低频崩溃,避免现有低频问题都需要修改基函数或积分方程等分析技术,为低频电磁分析增加了一种可选择的简便解决办法。经过数值算例的验证,高精度浮点数的EFIE可以将低频崩溃现象发生的离散网格的电尺寸降低到2.5×10^(−13),这已经能够处理我们常见的低频崩溃问题。
文摘Investigating the characteristics of synchronous electrical explosions of multiple exploding foil initiators(EFI)in the same circuit,a four-point series-connected EFI circuit utilizing flexible flat cables was designed to analyze the electrical explosion characteristics.Loop current and terminal voltages of each EFI were recorded to characterize the multi-point series-connected EFI explosion.The effects of voltage,capacitance,and loop length on the response time,energy deposition,and energy utilization efficiency of the multi-point series-connected EFI were explored.Based on the FIRESET model,a mathematical model for the multi-point series-connected EFI explosion was developed,and the influence of initial resistivity on the peak voltage during electrical explosion was quantitatively analyzed.Results indicate that the primary factor influencing the response time is the conduction performance of the switch,while the synchronization deviation is minimally affected by variations in voltage and capacitance.At an inter-electrode spacing of 50 mm,within the voltage range of 1,500–3,000 V and capacitance range of 0.22–1.5μF,the minimum and maximum synchronization deviations of the four-point EFI were 2 ns and 11 ns,respectively.As input energy increases,the deposited energy of the EFI rises,but the overall energy utilization efficiency decreases.The computational results of the proposed model align well with the experimental data.Furthermore,higher initial resistivity in the series-connected circuit corresponds to a higher peak voltage during electrical explosion.This work elucidates the characteristics of multi-point series-connected EFI explosions,offering valuable insights for the design of multi-point EFI circuits.
