片上螺旋电感的一种新增强型单π模型

A new modified single-π model for on-chip spiral inductors

针对片上螺旋电感提出了一种新型增强型单π等效电路模型.在宽频范围内,该模型仿真数据和HFSS中电磁仿真数据呈现出很好的拟合结果.所提模型充分考虑了高频下的衬底耦合效应、趋肤效应和邻近效应,基于电磁仿真得到的Y参数,采用拟线性函数法和二端口网络分析法来解析提取电路元件参数值,且所提参数无需进行优化.将各元件参数值应用于该对称单π等效电路,在0-20 GHz范围内可以精确地模拟片上螺旋电感各参数随频率变化的特性,从而验证了等效电路模型的准确性.

A new modified single- π equivalent circuit model for on- chip spiral inductors is presented. It shows a good fitting result between the simulated data of this model and the EM simulated data in HFSS over a wide frequency range.The proposed model takes full account of the substrate coupling effect,the skin and proximity effects at high frequencies,component parameter values of the circuit are analytically extracted based on Y-parameters using the method of quasi-linear functions and the two-port network analysis derived from EM simulation without any optimization. As applied to the symmetric single-π equivalent circuit,it can simulate the frequency variation characteristics of different parameters for on-chip spiral inductors with a high precision from 0 to20 GHz,and verify the accuracy of the equivalent circuit model.