Use of Mode Variables in the Analysis of Certain Time-Varying Networks

Abstract

The paper describes a technique of the use of mode variables in the analysis of certain time-varying two-port networks. The mode variables V₁⁺, V₁^-, V₂⁺, V₂^- are defined in such a manner that the actual voltage variables V₁ and V₂ are given by the sum of the respective plus and minus components. It is found that under special circumstances, the use of mode variables enables the behaviour of the network to be described by two uncoupled equations, which can be reduced to Mathieu type of equations with the help of appropriate transformations.

Indexing Terms:

• Mode Variables
• Time-Varying Networks

Additional information

Notes on contributors

K.D. Dikshit

Dikshit, K D (Dr): (b. Nov. 1935, U.P.). Obtained the degree of BSc in 1955, MSc (Tech.) in Electronics and Radio Engineering in 1958 and DPhil in 1971 from the University of Allahabad. He has been on the Faculty of the Department of Electronics and Communication, J.K. Institute of Applied Physics and Technology, University of Allahabad since 1960. His research interests are in time-varying circuits, holography and digital communication. He is Fellow of the Institution of Electronics and Telecommunication Engineers and Member of the Institution of Engineers (India).