特斯拉线圈电网络模型的宽频等值化简

针对特斯拉线圈复杂的电网络模型,提出了利用求解非线性方程和优化目标函数建立等值网络的方法。该等值网络在宽频范围内,在阻抗参数、有载增益、输入阻抗、传输功率与传输效率方面,均与原网络近似等值。该方法应用电压、电流之积计算灵敏度,方便地获得雅可比矩阵和目标函数梯度。本文方法对“网络分析与综合”课程或“电路理论”课程的师生,以及科研人员,具有切实的启发作用。

Frequency independent equivalent simplification of Tesla''s coil electric network model

Aiming at the complex electrical network model of Tesla''s coil, a method of establishing value-equivalent network by solving nonlinear equation and optimizing objective function is proposed. The value-equivalent network is approximately equivalent to the original network in impedance parameters, loaded gain, input impedance, transmission power and transmission efficiency in a wide range of frequency. This method uses the product of voltage and current to calculate the sensitivity, and conveniently obtains the Jacobian matrix and the gradient of the objective function. The method has practical inspiration for teachers and students in the course of "network analysis and synthesis" or "circuit theory", as well as scientific researchers.