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本文提出了一种新的分析单频激励或多频激励非线性电路的波形平衡法.该方法利用线性网络的性质和相量的概念,直接在时域上建立电路的解析波形平衡方程,从而避免了对准周期信号进行离散的时频城变换.与其它各种混合域的非线性电路分析方法相比,该方法具有计算简单,通用性强的特点.文中讨论了用牛顿法求解波形平衡方程的过程,并推导了雅可比矩阵的求解公式,计算结果证明了文中所提方法的有效性和正确性.
This paper presents a new waveform analysis method for single-frequency excitation or multi-frequency excitation nonlinear circuits. By using the concept of linear network property and phasor, the method establishes the analytic waveform balance equation of the circuit directly in the time domain, so as to avoid the discrete time-frequency city transformation of the alignment periodic signal. Compared with the nonlinear circuit analysis methods of other hybrid domains, this method has the characteristics of simple calculation and high universality. The paper discusses the process of solving the wave equation by Newton’s method and deduces the solving formula of Jacobian matrix. The calculation results prove the validity and correctness of the proposed method.