Abstract
Abstract. Network modelling of general, lossy or lossless, one-port and symmetric two-port passive electromagnetic structures in systematic manner is presented. Rational function representation of the numerical data of Z- or Y-parameters is obtained with the use of Vector Fitting procedure. A systematic strategy for obtaining equivalent lumped element circuit from the rational function, applying Brune's circuit synthesis, is also presented.
Highlights
In microwave circuit design compact models for distributed circuits are a valuable tool for efficient modeling of complex circuits
Otto Brune published in 1931 a method for the synthesis of a finite one-port network whose driving–point impedance is a prescribed function of frequency (Brune, 1931; Guillemin, 1957, 343–358 pp.)
This method allows to synthesize lumped element equivalent circuits with a minimum number of elements which are positive if the function describing the one-port impedance is positive real (PR)
Summary
In microwave circuit design compact models for distributed circuits are a valuable tool for efficient modeling of complex circuits. One can try to apply the Foster method synthesis to lossy structures This works in principle, yields in the general case lumped element equivalent circuits exhibiting negative elements. Otto Brune published in 1931 a method for the synthesis of a finite one-port network whose driving–point impedance is a prescribed function of frequency (Brune, 1931; Guillemin, 1957, 343–358 pp.) This method allows to synthesize lumped element equivalent circuits with a minimum number of elements which are positive if the function describing the one-port impedance is positive real (PR). In this work we describe a systematic strategy for Brune’s synthesis of one-ports described by positive real impedance functions This method is applied to symmetric twoports.
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