Synthesis of Linear Passive One-ports and Their Applications

Linear electric circuits consisting only of resistors, coils, and capacitors are always stable i.e., the transients occurring in them are convergent and stabilize in steady-state modes. In synthesizing such circuits, it is advisable to represent them by separate linear passive LC one-ports (2-terminals) connected in typical structures. In this paper, the Foster's and Cauer's representations are used. They are based on the decomposition of the circuit's impedance or admittance in Laplace's form, by elementary and chain products, respectively. Linear passive one-ports based on a given desired transfer function are synthesized. They are based on elementary LC and RC one-ports and have been applied in more complex circuits. At the end of the paper, the need and the advantages of this representation of the studied electric circuit are analyzed.