Title :
Microstrip transmission lines delayed in time power limiters stability analysis
Author_Institution :
Phys. Dept., Ben-Gurion Univ., Beer-Sheva, Israel
Abstract :
In this article, Very Crucial subject discussed is Microstrip transmission lines with power limiters, stability analysis under time delayed. Many receivers are often at risk of having their front end burned out by high power RF. Receivers are traditionally protected by a power limiter circuit. The limiter diode is a special type of PIN diode. Due to parasitic effects of microstrip transmission lines there is delay in time for input RF signal result in the end. Power limiters use with transmission line face stability behavior for different delay time values. We define Va(t) as Vi(t-τ1) after the first microstrip segment and Vi(t-τ1-τ2) after the second microstrip segment. The delayed voltage microstrip segments can be express respectively (τ1≠τ2). The limiter PIN diode equivalent circuit with microstrip segments can be represent as a delayed differential equation which depending on variable parameters and delays. The investigation of our transmission lines with power limiters system differential equation based on bifurcation theory [1], the study of possible changes in the structure of the orbits of a delayed differential equation depending on variable parameters. The article first illustrate certain observations and analyze local bifurcations of an appropriate arbitrary scalar delayed differential equation [2]. Transmission lines with power limiters stability analysis is done under different time delays respect to microstrip segments voltage and voltage derivative. Additional analyze the bifurcations system delayed differential equation on the circle. Bifurcation behavior of specific delayed differential equations can be encapsulated in certain pictures called bifurcation diagrams. All of that for optimization of power limiter equivalent circuit parameters analysis with microstrip transmission lines to get the best performance.
Keywords :
bifurcation; delays; difference equations; equivalent circuits; microstrip lines; microwave limiters; p-i-n diodes; PIN diode; bifurcation diagrams; bifurcation theory; delay time values; differential equation; limiter diode; microstrip segments; microstrip transmission lines; power limiter equivalent circuit parameters analysis; power limiters; stability analysis; time delays; voltage derivative; Delay; Differential equations; Equations; Mathematical model; Microstrip; Power transmission lines; Stability analysis;
Conference_Titel :
Microwaves, Communications, Antennas and Electronics Systems (COMCAS), 2011 IEEE International Conference on
Conference_Location :
Tel Aviv
Print_ISBN :
978-1-4577-1692-8
DOI :
10.1109/COMCAS.2011.6105771