用矩阵形式的电路方程分析多层特斯拉线圈

论文引介一种用解析几何原理分析有载二端口网络主要电气量与负载关系的方法。根据二端口网络解析表达式和复变函数映射原理,在复平面绘制一张几何图形。当负载阻抗等参数改变时,会引起该图形某些线段与圆弧的变化,从而直观地观察二端口网络主要电气量的联动变化趋势。该方法具有直观、全局和动态的特点,可以促进解析几何与复变函数在电路分析中的应用。

Analysis of multilayer Tesla"s coil with circuit equation in matrix form

This article introduces a method to analyze the relationship between the main electrical quantities and load of loaded two-port network by using the principle of analytical geometry. According to the analytical expression of two-port network and the principle of complex variable function mapping, a plane geometry is drawn. When the load impedance and other parameters change, some line segments and arcs of the geometry will change accordingly. Therefore, the coordinating change trend of the main electrical performance of the two-port network can be intuitively observed. This method has intuitive, global and dynamic properties, and can promote the application of analytical geometry and complex variable function in circuit analysis.