Broadband equivalent circuit modelling of spiral resonators for printed circuit board applications

Abstract

This study presents a new equivalent circuit modelling methodology for various-type spiral resonators in printed circuit board environment. The N-turn spiral resonator can be decomposed into an N Π-equivalent circuit model, and each Π-model is comprised of a series inductance, parallel capacitance, two shunt capacitors and the resistances of the conductor and dielectric. Both the inductance and capacitance of the equivalent circuit are calculated by the proposed formulas, which are based on the electromagnetic theory. It has been demonstrated that the proposed equivalent circuit model of the spiral resonator is well matched in S-parameters, Q-factor and inductance values as well as in self-resonance frequency values within 8% tolerance with measurement and full-wave electromagnetic field solver.

A highly accurate and robust source reconstruction method of printed circuit boards based on complex‐valued neural network

“…The study of equivalent models resorting to simpler structures with similar EMI characteristics to the original model is of great importance in analysis of radiation properties of PCBs working in microwave frequency band. [2][3][4][5] As shown in Figure 1, an equivalent dipole model of a PCB can be constructed by using effective source reconstruction methods (SRMs) likes Tikhonov regularization method (TRM). Then, the equivalent model can be adopted to replace the original PCB in the system-level electromagnetic compatibility (EMC) problem, as illustrated in Figure 2.…”

“…Due to the complexity of practical PCBs, direct and detailed modeling of their electrical properties and intricate structure is cumbersome or unrealistic to even attempt. The study of equivalent models resorting to simpler structures with similar EMI characteristics to the original model is of great importance in analysis of radiation properties of PCBs working in microwave frequency band 2–5 . As shown in Figure 1, an equivalent dipole model of a PCB can be constructed by using effective source reconstruction methods (SRMs) likes Tikhonov regularization method (TRM).…”

Power Noise Suppression Methods Using Bead with Spiral Resonator

“…나아가 EBG의 주파수 대역 을 보다 낮은 대역까지 확장하기 위하여 분기 지점 의 길이를 늘여준 광대역용 EBG 구조 연구 [2] 와 주기 적으로 분리되어 있는 패턴으로 인해 신호선의 귀환 경로(return path)를 확보하는 것이 용이하지 않아서 나빠진 신호 무결성(signal integrity)을 보완하기 위한 국부적인 EBG 배치 구현 [3] 까지 다양한 방법의 연구 [7] . [8] .…”