电子网络振荡与稳定的基波分析法

若在网络的适当端口施加正弦电压源u,用基波平衡原理求得注入网络电流的基波分量iS1,用Gi代表注入网络实功电流的输入电导。可以证明:网络的稳定性取决于sgnGi,基波平衡原理可以推广应用于三阶非线性电子网络。结论的普遍性可以推广到数学力学学科,并给出了这一类三阶非线性微分方程求定性解的一般方法。

Fundamental Wave Analysis of Oscillation and Stability for Electronic Networks

When sine voltage source u is applied to the proper port of networks, the fundamental harmonic component iS1 of injecting current of networks can be found by fundamental-wave balance principle, The active component of input current is represented by the input conductance Gi. It can be proved that the stability of networks depends on the sgnGi. The Fundamental-wave balance principle can be spread and applied to the third-order nonlinear network. The universality of the conclusion can be spread to mathematics and mechanics science also and give a popular method to solving this third-order nonlinear differential equation qualitatively.