电感储能型脉冲电源系统的半解析参数分析

Semi-analytical analysis on system parameters of inductive pulsed power supply

针对电感储能型脉冲电源这一复杂动态系统的性能分析,提出了理论推导辅以数值计算的半解析参数分析法。以STRETCH meat grinder拓扑为例,选取了系统设计和运行阶段的二项关键参数,即充电截止电流I0和电感比nL。分时段采用拉氏变换和数值求解,得到电源系统各支路电流和电压。以此可便捷地获得八项系统性能指标,即充电时间T0、充电效率η、一次/二次电流倍增比m1/m2、换流电容最大储能百分比ηC、主管耐压Vsopm、电枢出射速度正比项∝v和电感内阻总能损ER。讨论了电源系统运行阶段I0对性能指标影响的单参数分析问题和设计阶段I0和nL对性能指标影响的多参数分析问题。该方法可方便地用图形方式呈现出复杂动态系统某性能指标随任一项或多项系统参数的变化趋势,快速发现元件和控制参数对性能指标的影响及灵敏度,以选定合适的参数。

For performance analysis of inductive pulsed power supplies, a method of semi-analytical parametric a- nalysis based on theoretical derivation combined with numerical computation is proposed. Taking the STRETCH meat grinder circuit as an example, this paper has selected two key parameters during stage of system design and operation, i.e. charging cut-off current I0 and inductance ratio nL. Currentand voltage of any branch can be calcu- lated based on time-slicing Laplace transformation and numerical calculation. Thus eight performance indices, i.e. charging time To, charging efficiency η, primary / secondary current multiplication ratio m1/m2 , ratio of the maxi- mum capacitive energy over the total inductive energy ηc, the maximum voltage across the main switch Vsopm , muz- zle velocity proportional term ∝ v, total energy loss caused by the inductors＇ internal resistances E_R, can be easily obtained. The influences of the operation parameter I0 and the design parameter I0 and nL on the indices are particu- larly discussed. The change trend of any concerned index with one or more arbitrary parameters can be drawn in a diagram easily by using this method, thus the influences and sensitivities of component and control parameters on performance indices can be discovered quickly in order to select suitable parameters.