DocumentCode :
1163786
Title :
The Nonlinear Theory of a Class of Transistor Oscillators
Author :
Hester, Donald L.
Volume :
15
Issue :
2
fYear :
1968
fDate :
6/1/1968 12:00:00 AM
Firstpage :
111
Lastpage :
117
Abstract :
The nonlinear theory of a class of transistor oscillators linear differential equation of the form is developed, using the Ebers-Moll large-signal model for the transistors. Simplified versions of tuned-collector, tuned-base, and Hart ley transistor oscillators are shown to be characterized by a nonlinear differential equation of the form ![\\ddot{x} - \\mu[e^{a dot{x}} - \\kappa e^{(a+b)dot{x}}] + \\gamma dot{x} + x = 0](/images/tex/11078.gif)
where 
, and 
are positive constants and 
. Approximate solutions of the above equation, which are derived in a very simple manner using the phase plane approach, are compared favorably with experimental results. A push-pull version of the tunedcollector oscillator characterized by the above equation with the exponential terms replaced by hyperbolic sines is discussed.
where , and are positive constants and . Approximate solutions of the above equation, which are derived in a very simple manner using the phase plane approach, are compared favorably with experimental results. A push-pull version of the tunedcollector oscillator characterized by the above equation with the exponential terms replaced by hyperbolic sines is discussed.Keywords :
Ebers-Moll model; Nonlinear circuit theory; Transistor oscillators; Circuits; Control systems; Differential equations; Filters; Harmonic analysis; NASA; NIST; Nonlinear equations; Oscillators; Printing;
fLanguage :
English
Journal_Title :
Circuit Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9324
Type :
jour
DOI :
10.1109/TCT.1968.1082786
Filename :
1082786
Link To Document :
