Mathematical Modelling and Simulation of Band Pass Filters using the Floating Admittance Matrix Method

This article aims to develop a band pass filter's mathematical model using the Floating Admittance Matrix (FAM) method. The use of the conventional methods of analysis based KCL, KVL, Thevenin's, Norton's depends on the type of the particular circuit. The proposed mathematical modeling using the floating admittance matrix method is unique, and the same can be used for all types of circuits. This method uses the partitioning technique for large network. The sum property of all the elements of any row or any column equal to zero provides the assurance to proceed further for analysis or re-observe the very first equation. This saves time and energy. The FAM method presented here is so simple that anybody with slight knowledge of electronics but understating the matrix maneuvering, can analyze any circuit to derive all types of transfer functions. The mathematical modeling using the FAM method provides leverage to the designer to comfortably adjust their design at any stage of analysis. These statements provide compelling reasons for the adoption of the proposed process and demonstrate its benefits

[1]  Ahmed F. Zobaa,et al.  Different Design Approaches of Shunt Passive Harmonic Filters Based on IEEE Std. 519-1992 and IEEE Std. 18-2002 , 2013 .

[2]  B. P. Singh,et al.  A null method for measuring the parameters of a FET , 1978 .

[3]  George S. Moschytz,et al.  Low-sensitivity SAB band-pass active-RC filter using impedance tapering , 2001, ISCAS 2001. The 2001 IEEE International Symposium on Circuits and Systems (Cat. No.01CH37196).

[4]  David G. Haigh,et al.  Admittance Matrix Models for the Nullor Using Limit Variables and Their Application to Circuit Design , 2006, IEEE Transactions on Circuits and Systems I: Regular Papers.

[5]  Shady H. E. Abdel Aleem,et al.  Effective utilization of cables and transformers using passive filters for non-linear loads , 2015 .

[6]  Sanjay Kumar Roy,et al.  On Demand Realization of Input and Output Resistances of MOSFET Amplifier , 2011 .

[7]  E. Hollós.  TWO-PORT MODELS CONTAINING NULLATORS AND NORATORS , 1981 .

[8]  Md. Tawfiq Amin,et al.  Comparative analysis and simulation of active inductors for RF applications in 90 nm CMOS , 2017, 2017 3rd International Conference on Electrical Information and Communication Technology (EICT).

[9]  R. Senani,et al.  Improved grounded-capacitor SRCO using only a single PFTFN , 2007 .

[10]  . D.S.Sargar.  LCLR FILTER DESIGN AND MODELLING FOR HARMONIC MITIGATION IN INTERCONNECTED MICRO GRID SYSTEM , 2015 .

[11]  Aslan Deniz Karaoglan,et al.  Optimal design of single-tuned passive filters using Response Surface Methodology , 2015, 2015 International School on Nonsinusoidal Currents and Compensation (ISNCC).

[12]  Sidney Darlington.  A history of network synthesis and filter theory for circuits composed of resistors, inductors, and capacitors , 1984 .

[13]  Wai-Kai Chen.  Circuit analysis and feedback amplifier theory , 1980 .

[14]  M. Bogdan,et al.  LabVIEW modeling and simulation, of the low-pass and high-pass analog filters , 2015, 2015 13th International Conference on Engineering of Modern Electric Systems (EMES).