Research Article Open Access

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

Hichem Taghouti1 and Abdelkader Mami1
  • 1 ,
American Journal of Engineering and Applied Sciences
Volume 3 No. 4, 2010, 631-642

DOI: https://doi.org/10.3844/ajeassp.2010.631.642

Submitted On: 16 May 2010
Published On: 4 November 2010

How to Cite: Taghouti, H. & Mami, A. (2010). 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. American Journal of Engineering and Applied Sciences, 3(4), 631-642. https://doi.org/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”.

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Keywords

  • Wave matrix
  • bond graph modeling
  • microstrip lines
  • integro-differentials operators