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非线性振荡电路的一种新算法

更新时间：2020-08-07 16:05:16 大小：372K 上传用户：守着阳光1985 查看TA发布的资源 标签：振荡电路 下载积分：5分评价赚积分（如何评价?）收藏评论(0) 举报

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提出非线性振荡电路的一种新的计算方法，称之为响应频率迭代法。引进相位角作为自变函数，将非线性振荡电路的波形泛函表示成自变函数的余弦泛函，电路的响应频率即为自变函数对自变量的一阶导数，将电路非线性状态方程的求解归结为响应频率的确定，并用迭代法近似计算之；利用响应频率与相位角的微分关系，计算出反变换即时间与相位角的近似关系式，从而将非线性振荡电路的波形泛函随时间变化而变化的关系表示为以自变函数为参量的参数形式，突破摄动法的激励参数远小于1（即弱非线性）的限制，适用于强、弱非线性电路。具体分析了一类三极管振荡电路，取激励参数为0.8和1，经二次频率迭代，计算结果与数值积分法吻合良好，但摄动法已失效。

A new calculation method of nonlinear oscillation circuit is presented and called as the re-sponse frequency alternation method.The phase angle is introduced as the independent functions.The waveform functional of the nonlinear oscillation circuit is shown as the cosine functional of the independ-ent functions.The first derivative of the independent functions about the independent variable is meant by the response frequency of the circuit.The solution of the nonlinear state equation for the circuit is summed the determining of the response frequency for the circuit,and computed it with the alternation method.Using the differential relation o...