空心双谐振脉冲变压器的仿真研究

Simulation of Tesla Transformer

对空心双谐振高压脉冲变压器(即Tesla变压器)进行了仿真试验研究,以了解Tesla变压器运行时的耦合参数及其他相关数据。首先,根据Tesla变压器的基本原理,在考虑电路损耗的情况下,建立其双谐振回路的数学模型。然后运用解析解的方法研究双谐振回路次极为振荡电压幅值时的系列脉冲耦合系数,并给出振幅充电时的特点。分析有损Tesla变压器的等效电路时,由于其结论的表达式比较复杂,无法运用数学解析的方法对其进行进一步的分析,因而转至运用MATLAB软件对其进行研究。主要分析了空心双谐振回路出现最大幅值时的条件和时间,满足幅值输出时的回路参数,同时研究了回路参数的改变对其电压输出波形的影响。

Simulation tests on Tesla transformer are made to find out the coupling parameters and other relevant data during operation of Tesla transformer. First, the mathematical model of its double-resonance circuit is built according to the basic principle of Tesla transformer and taking circuit loss into account. Then, by the method of analytical solution, the series pulse coupling coefficients when the secondary voltage is the highest are studied with amplitude charging features offered. While analyzing the equivalent circuit of Tesla transformer considering loss, mathematical analysis method is not proper for further analysis because the expression of the conclusion is complicated. As a result, MATLAB software is used instead. The condition and the time when the secondary voltage of the transformer is the highest are mainly analyzed; the influence of circuit parameter changes on the secondary output voltage is also studied.