Most models of PN junction diode are mathematical models rather than circuit models, and there is a necessary trade-off between model versatility and accuracy. The small-signal fractional-order circuit model of PN junction long-base diode based upon the device’s physical operating principles and fractional-order vector fitting is obtained. This model consists of fractional elements and traditional elements; at the same time, the conventional diffusion model, that is two-element diode model, is included as a special one. In particular, only two model parameters, inverse saturation current and minority carrier lifetime of the PN junction diode, need to be extracted for formulating fractional-order model. And it is proved that the simulation effect is perfect by comparing the normalized admittances of different diode models. So the efficiency and accuracy of the model can be greatly improved compared with the high-speed dynamic model of PN junction diode. The presented equivalent model is shown to be capable of reproducing the frequency-dependent characteristics of PN junction long-base diode, and it can be applied to different small-signal circuit environments. Finally, experiment of junction diode can also validate the efficiency of the small-signal fractional model.

中文翻译：

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PN结长基极二极管的小信号分数阶模型

大多数 PN 结二极管模型是数学模型而不是电路模型，在模型通用性和准确性之间存在必要的权衡。基于器件的物理工作原理和分数阶矢量拟合，得到了PN结长基极二极管的小信号分数阶电路模型。该模型由分数元素和传统元素组成；同时，传统的扩散模型，即二元二极管模型，作为一个特殊的模型被包括在内。特别是，只需要提取反向饱和电流和 PN 结二极管的少数载流子寿命两个模型参数来制定分数阶模型。并通过比较不同二极管模型的归一化导纳，证明仿真效果是完美的。因此与PN结二极管的高速动态模型相比，该模型的效率和精度可以大大提高。所提出的等效模型能够再现 PN 结长基极二极管的频率相关特性，并且可以应用于不同的小信号电路环境。最后，结二极管的实验也可以验证小信号分数模型的效率。