Altmetric

Properties of purely reactive Foster and non-Foster passive networks

File Description SizeFormat 
IET_EL_Muller_Lucyszyn.pdfAccepted manuscript494.86 kBAdobe PDFView/Open
Title: Properties of purely reactive Foster and non-Foster passive networks
Authors: Muller, AA
Lucyszyn, S
Item Type: Journal Article
Abstract: The mathematical concept of strongly real functions of positive and negative types is introduced to network theory for the first time. In this letter we show that the driving point reactance/susceptance of a pure Foster network, made up of only ideal positive inductance and capacitance element, is a strongly real function of real frequency of positive type. As a corollary, for a pure non-Foster network made up of only ideal negative inductance and capacitance elements, we show that the driving point reactance/susceptance is a strongly real function of real frequency of negative type. It is shown that a condition for a purely reactive passive network to exhibit a positive or negative reactance/susceptance-frequency gradient is that the driving point immittance should have alternating poles and zeros lying on the real frequency axis. Finally, it is shown that either purely Foster or non-Foster networks can be constructed by combining ideal Foster and non-Foster reactive elements.
Issue Date: 12-Nov-2015
Date of Acceptance: 25-Sep-2015
URI: http://hdl.handle.net/10044/1/26552
DOI: 10.1049/el.2015.1429
ISSN: 0013-5194
Publisher: Institution of Engineering and Technology (IET)
Start Page: 1882
End Page: 1884
Journal / Book Title: Electronics Letters
Volume: 51
Issue: 23
Keywords: Science & Technology
Technology
Engineering, Electrical & Electronic
Engineering
REACTANCE THEOREM
ANTENNAS
0906 Electrical and Electronic Engineering
0801 Artificial Intelligence and Image Processing
1005 Communications Technologies
Electrical & Electronic Engineering
Publication Status: Published
Open Access location: http://digital-library.theiet.org/content/journals/10.1049/el.2015.1429
Online Publication Date: 2015-11-05
Appears in Collections:Faculty of Engineering
Electrical and Electronic Engineering



Unless otherwise indicated, items in Spiral are protected by copyright and are licensed under a Creative Commons Attribution NonCommercial NoDerivatives License.

Creative Commons