Modeling Method of a Low-Pass Filter Based on Microstrip T-Lines with Cut-Off Frequency 10 GHz by the Extraction of its Wave-Scattering Parameters from its Causal Bond Graph Model

Abdelkader Mami,Hichem Taghouti

doi:10.3844/ajeassp.2010.631.642

Abstract

Problem statement: This study presented a jointly application of bond graph technique and wave-scattering formalism for a new realization called scattering bond graph model which has the main advantage to show up explicitly the different wave propagation. Approach: For that, we proposed to find the scattering matrix from the causal bond graph model of a low-pass filter based on Microstrip lines and with cut-off frequency 10 GHz, while starting with determination of the integro-differentials operators which is based, in their determination, on the causal ways and causal algebraic loops present in the associated bond graph model and which gives rise to the wave matrix which gathers the incident and reflected waves propagation of the studied filter. Results: The scattering parameters, founded from the wave matrix, will be checked by comparison of the simulation results. Conclusion: Thereafter, we use a procedure to model directly this scattering matrix under a special bond graph model form often called “Scattering Bond Graph Model”.

Highlights

The scattering or the wave-scattering formalism (Paynter and Busch-Vishniac, 1988) was used in vast physique fields such as the characterization of the electric circuits.Several work, since the invention of the bond graph approach (Di-Filippo et al, 2002), showed that the scattering formalism (Newton, 2002) constitutes an alternative approach for the physical systems modeling (Kamel and Dauphin-Tanguy, 1993)
The bond graph language (Di-Filippo et al, 2002) is based on a graphic representation of the physical systems. These representations are based on the identification and the idealization of the intrinsic characteristics of the physical environments and on the structuring of a complex physical system in the networks form (Belevich, 1968)
The propose of this study is to present and apply a new extraction method of the scattering parameters, which constitute the scattering matrix, of any physical systems while basing on its causal and reduced bond graph model (Taghouti and Mami, 2009)

Summary

Introduction

Since the invention of the bond graph approach (Di-Filippo et al, 2002), showed that the scattering formalism (Newton, 2002) constitutes an alternative approach for the physical systems modeling (Kamel and Dauphin-Tanguy, 1993). They pointed out on the one hand some properties and in particular the orthogonality of wave matrix (Magnusson, 2001) respectively the scattering matrix (Ferrero and Pirola, 2006) which respects intrinsically the causal relations and includes explicitly the conservation laws (Pedersen, 2003). In physics, the analogies theory allows bond graph technique (Di-Filippo et al, 2002) to generalize the representation networks with all the traditional physics fields of the systems with localized and/or distributed (based on Microstrip lines) parameters (Byrnes et al, 1999)

Methods

Results

Conclusion