Research On Broadband Lumped Circuit Model For Inductive Components Based On PEEC

It is well known that high switching frequency is still a strong driving force to electronics industry in foreseeable future.The high switching frequency is benefit to reduce costs and the volume.However,the higher frequency means more strict requirements on the frequency domain characteristics of the passive component or interconnector in the same time.For example,the switching frequency of a modern switch-mode power supply has increased to tens MHz with up-to-date a gallium nitride(Ga N)device.This Ga N power supply requires the characteristic of passive components and interconnectors in wider frequency band.The electromagnetic compatibility design of an electronic device needs precise parasitic circuit parameters to help analyze or predict its electromagnetic noise emission.This dissertation proposes a novel method to get a reduced order circuit and its parameters from a large-scale partial element equivalent circuit(PEEC)model.Moreover,the obtained circuit elements are easily correlated with geometry,or with physical properties of system components,so it has theoretical significance and application value.The large-scale equivalent circuits of planar inductors and air core transformers are obtained by using PEEC method in frequency domain.In this dissertation,the physical meaning and mathematical background of PEEC are analyzed in detail,and the basic principle of meshing is introduced.The PEEC modeling of the inductive components should consider both copper and FR4 dielectric material in printed circuit board(PCB).The modeling method of dielectric material is introduced with full current.The physical equivalent circuit of planar inductor and air core transformer on PCB is built up,and the high-frequency model with parasitic parameters is obtained.A PEEC circuit model can keep quite good accuracy even to very high frequency so long as meshing number is large enough.However,a large quantity of components easily make designer lost his physical insight in electromagnetic problems.In order to obtain the lumped parameter model with more intuitive physical meaning,the model reduction method based on PEEC is proposed in this dissertation.The correlation between eigen-frequency and self-resonance frequency of port impedance of PEEC network is found.By retaining low resonance frequencies information,the parameters of the reduced order model are calculated,and the error of the model is also analyzed and discussed.The impedance of the inductive devices is measured by Agilent 4396 B impedance analyzer,and the result of the PEEC model and the reduced order model is analyzed.All models can well describe the frequency domain characteristics of the inductive devices.Simulations and measurements are conducted to validate the feasibility of the model.