用基波平衡原理分析非线性电子网络的稳定性

Analysing Stability of Nonlinear Electronic Networks Using Fundamental-wave Balance Princple

对于一个非线性非保守的电子网络,根据等效推力理论,可以求出变阻尼力在一周期中贡献能量的等效平均值Df。文中在等效推力的基础上,提出基波平衡原理。若在适当端口施加正弦电压源,则网络的稳定性取决于进入端口基波电流的实功与虚功成份的符号值。这种原理适用于含几个非线性器件的三阶电子网络。

For the nonlinear non-conservative electronic networks, the equivalent average value Df of energy contributed by the variational damping force in a cycle can be derived according to the equivalent thrust theory. Fundamental-wave balance princple based on equivalent thrust is presented in this paper. When exciting Sin voltage source is applied to proper port, the stability of network depends on the sign of active and reactive components for fundamental-wave current entering port of networks. The princple is suited for the third order electronic networks which comprise several nonlinear devices.