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How to Find Wave-Scattering Parameters from the Causal Bond Graph Model of a High Frequency Filter | Science Publications

机译:如何从高频滤波器的因果关系图模型中找到波散射参数科学出版物

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> Problem statement: The aim of this study is to use the bond graph technique and the wave-scattering formalism, jointly, to determine the scattering matrix of a high frequency filter with cut-off frequency 10 GHz. Approach: The first step consist to model the high frequency filter by bond graph approach, afterward, we decomposed the obtained causal bond graph model under an elementary structures of a cascaded sub-model, where, each one containing only 0-junction (parallel admittance) and 1-junction (series impedance). The causal ways and algebraic loops present in each causal bond graph sub-model, allows us to derive the elementary wave matrix W(i) of each sub-model. Results: The total or global wave matrix W(T) of the high frequency filter is given by the product of all elementary wave matrixes W(i). Conclusion: The scattering matrix S of the studied filter can be inferred by use of the founded wave matrix W(T) which relates the incident and reflected waves at one port directly to the incident and reflected waves at the adjacent port and the relations linking the S coefficients to the W coefficients. Finally, the scattering parameters, founded from the wave matrix, will be checked by comparison of the simulation results.
机译: > 问题陈述:本研究的目的是结合使用键合图技术和波散射形式,以确定带切口的高频滤波器的散射矩阵。截止频率10 GHz。 方法:第一步包括通过键合图方法对高频滤波器进行建模,然后,在级联子模型的基本结构下分解获得的因果键合图模型,其中每个都包含仅0结(并联导纳)和1结(串联阻抗)。每个因果关系图子模型中存在的因果方式和代数环,使我们能够推导每个子模型的基本波矩阵W (i)。 结果:高频滤波器的总或整体波矩阵W (T)由所有基本波矩阵W (i)的乘积给出。 sup>。 结论:可以通过使用建立的波矩阵W (T)来推断所研究的滤波器的散射矩阵S,该矩阵将一个端口处的入射波和反射波直接与相邻端口的入射波和反射波,以及将S系数与W系数联系起来的关系。最后,将通过比较仿真结果检查从波矩阵建立的散射参数。

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