棒-板间隙放电过程的建模与仿真对于长空气间隙放电机理研究及特高压输电工程的外绝缘设计具有重要意义。为此建立了棒-板间隙动态流注分形发展模型,在已有的分形流注模型的基础上,提出了基于动态边界修正的电场计算方法以及基于电荷累...棒-板间隙放电过程的建模与仿真对于长空气间隙放电机理研究及特高压输电工程的外绝缘设计具有重要意义。为此建立了棒-板间隙动态流注分形发展模型,在已有的分形流注模型的基础上,提出了基于动态边界修正的电场计算方法以及基于电荷累积的时间参数求取方法。通过对间隙空间进行网格剖分,求解电场分布方程与电荷累积方程,得出间隙电场变化以及流注步进式发展的时间及动态电荷累积。本模型针对流注起始、流注发展、放电结束和电荷累积等过程进行了建模,并运用模型对于不同电压幅值(230 k V、590 k V)1 m棒-板间隙雷电冲击(2.0/50μs)流注放电过程进行了仿真,并和试验结果进行了对比分析。结果表明,雷电冲击电压为230 k V时,流注发展长度约为20 cm,流注发展时间为5.02μs,流注发展平均速度为3.98×104 m/s,流注通道电荷累积总量达到23.2μC;雷电冲击电压为590 k V时,1 m棒-板间隙被击穿,流注发展时间为9.92μs,流注发展平均速度为1.01×105 m/s,击穿前其速度达到1.60×105 m/s,整个击穿过程流注电荷累积总量为258.3μC。新的模型在放电通道长度变化,放电过程电场波形,流注发展过程电荷粒子的累积等方面均与试验结果基本一致,具有一定合理性。展开更多
Although multi-stage incremental sheet forming has always been adopted instead of single-stage forming to form parts with a steep wall angle or to achieve a high forming performance, it is largely dependent on empiric...Although multi-stage incremental sheet forming has always been adopted instead of single-stage forming to form parts with a steep wall angle or to achieve a high forming performance, it is largely dependent on empirical designs. In order to research multi-stage forming further, the effect of forming stages(n) and angle interval between the two adjacent stages(Δα) on thickness distribution was investigated. Firstly, a finite element method(FEM) model of multi-stage incremental forming was established and experimentally verified. Then, based on the proposed simulation model, different strategies were adopted to form a frustum of cone with wall angle of 30° to research the thickness distribution of multi-pass forming. It is proved that the minimum thickness increases largely and the variance of sheet thickness decreases significantly as the value of n grows. Further, with the increase of Δα, the minimum thickness increases initially and then decreases, and the optimal thickness distribution is achieved with Δα of 10°.Additionally, a formula is deduced to estimate the sheet thickness after multi-stage forming and proved to be effective. And the simulation results fit well with the experimental results.展开更多
文摘棒-板间隙放电过程的建模与仿真对于长空气间隙放电机理研究及特高压输电工程的外绝缘设计具有重要意义。为此建立了棒-板间隙动态流注分形发展模型,在已有的分形流注模型的基础上,提出了基于动态边界修正的电场计算方法以及基于电荷累积的时间参数求取方法。通过对间隙空间进行网格剖分,求解电场分布方程与电荷累积方程,得出间隙电场变化以及流注步进式发展的时间及动态电荷累积。本模型针对流注起始、流注发展、放电结束和电荷累积等过程进行了建模,并运用模型对于不同电压幅值(230 k V、590 k V)1 m棒-板间隙雷电冲击(2.0/50μs)流注放电过程进行了仿真,并和试验结果进行了对比分析。结果表明,雷电冲击电压为230 k V时,流注发展长度约为20 cm,流注发展时间为5.02μs,流注发展平均速度为3.98×104 m/s,流注通道电荷累积总量达到23.2μC;雷电冲击电压为590 k V时,1 m棒-板间隙被击穿,流注发展时间为9.92μs,流注发展平均速度为1.01×105 m/s,击穿前其速度达到1.60×105 m/s,整个击穿过程流注电荷累积总量为258.3μC。新的模型在放电通道长度变化,放电过程电场波形,流注发展过程电荷粒子的累积等方面均与试验结果基本一致,具有一定合理性。
基金Project(51005258) supported by the National Natural Science Foundation of ChinaProject(CDJZR12130065) supported by the Fundamental Research Funds for the Central Universities,China
文摘Although multi-stage incremental sheet forming has always been adopted instead of single-stage forming to form parts with a steep wall angle or to achieve a high forming performance, it is largely dependent on empirical designs. In order to research multi-stage forming further, the effect of forming stages(n) and angle interval between the two adjacent stages(Δα) on thickness distribution was investigated. Firstly, a finite element method(FEM) model of multi-stage incremental forming was established and experimentally verified. Then, based on the proposed simulation model, different strategies were adopted to form a frustum of cone with wall angle of 30° to research the thickness distribution of multi-pass forming. It is proved that the minimum thickness increases largely and the variance of sheet thickness decreases significantly as the value of n grows. Further, with the increase of Δα, the minimum thickness increases initially and then decreases, and the optimal thickness distribution is achieved with Δα of 10°.Additionally, a formula is deduced to estimate the sheet thickness after multi-stage forming and proved to be effective. And the simulation results fit well with the experimental results.
