Research Article Open Access
Volume 3 • Issue 3 • 1000132
J Electr Electron Syst
ISSN: 2332-0796 JEES an open access journal
Open Access Research Article
Rana, J Electr Electron Syst 2014, 3:3
DOI: 10.4172/2332-0796.1000132
Keywords: Feedback; LC combination; Multisim; Tank circuit; VFO;
Resonance; Magnetic energy leakage; Microfarad(uF); Oscillators;
Sinusoidal
Introduction
Back in mid-1912, Edwin Armstrong while carrying out
experiments with triodes wasn’t aware of a spectacular phenomena
due to a component which was going to serve as the basis of coupling
and amplifcation amongst many other applications. Until then, the
experiments had incorporated these devices as a detector for amplitude
modulated waves. Having utilized them for this functionality, nobody
was aware of the reasons as to why that was happening. By means of
coupling one terminal of the device to another, it was observed that
he could achieve large signal gain. We today term the phenomenon as
positive feedback in circuits. He, with his invention of the radio had
produced a unique oscillator. Te uniqueness was justifed since the
limitation of other oscillators producing output in the kHz domain had
now been extended to the MHz domain [1].
Ever since then, there has been a plethora of oscillator circuits that
have been invented and employed industrially worldwide. Continuous
Sine Wave oscillators or Square wave oscillators fnd their application
in a myriad of felds in converting DC input to a variant A.C. output, in
amplifcation of signals, synchronization purposes to name a few. One
such circuit which utilizes storage and dissipation of magnetic energy,
namely the Colpitts Oscillator has formed the basis of this study. A few
of modifcations in the conventional circuit have hereby been inferred.
Te Colpitts Oscillator
Classifcation
Te Colpitts Oscillator is known to work on feedback from the
divider setup that is used in the circuit. Te voltage divider is either
made by 2 inductors or by using tapping on the single inductor. In
either of the cases, if the desired application is that of a VFO, the usage
is not as much preferred as with the case of Clapp Oscillator. In the
latter, an extra capacitor is used for tuning to the optimum frequency
and hence a better sustained waveform is achievable readily [2,3].
However, Colpitts form the basis of either of these circuitries,
capacitor-tuned Clapp or the conventional circuit. And consequently, is
believed in this experimental study to be encompassing the behavioral
results for the counterpart circuits as well [2].
Frequency tuning and parameters that efect it
Since the Colpitts oscillator is a type of tank circuit (LC
*Corresponding author: Ankit Rana, B. Tech. (ECE), Bharati Vidyapeeth’s
College of Engineering, A-4, Paschim Vihar, New Delhi-110063, India, E-mail:
ankitrana1709@gmail.com
Received September 01, 2014; Accepted September 19, 2014; Published
October 01, 2014
Citation: Rana A (2014) Colpitts Oscillator: Design and Performance Optimization.
J Electr Electron Syst 3: 132. doi:10.4172/2332-0796.1000132
Copyright: © 2014 Rana A. This is an open-access article distributed under the
terms of the Creative Commons Attribution License, which permits unrestricted
use, distribution, and reproduction in any medium, provided the original author and
source are credited.
Colpitts Oscillator: Design and Performance Optimization
Ankit Rana*
B. Tech. (ECE), Bharati Vidyapeeth’s College of Engineering, A-4, Paschim Vihar, New Delhi, India
combination) and works on feedback of energy, the mathematical
expression underlying its operation is the same as that of frst-order
LC circuit i.e.
) * 2 / 1 ( C L f π =
(1)
And since, the Colpitts must have two capacitors for compensating
purposes, the mathematical expression to obtain the frequency of
operation is depicted as [4,5]:
) 2 1 (
) 2 * 1 (
2 / 1
C C
C C L
f
+
= π
(2)
It can be noted that the two capacitors in series with each other
result in the expression in the denominator.
From the study of its parasitic elements and the transconductance
(g
m
) concept, it is known that a negative value of input resistance only
would be able to sustain oscillations at the output [6,7].
Oscillations are obtained only for a large value of transconductance
(g
m
) and for smaller values of capacitor elements used.
Experimental Approach to Colpitts Oscillator Design
A industrially acclaimed simulator, namely Multisim was used to
observe the infuence of several parameters on a Colpitts oscillator
design with multiple modifcations and optimization aims in mind
[5,7].
A frst order Colpitts Oscillator has been drawn as a schematic
over the simulator. Tis schematic circuit was introduced with several
modifcations viz. change in input resistance, changes in capacitors and
the inductor coil’s inductance. Te parameters mentioned herewith
are the fundamental governing dependencies in the performance of a
Colpitts Oscillator. Increase in the value of any of these would leave
Abstract
From the very fundamental oscillator, a simple pendulum wherein there is a constant energy switch between
potential and kinetic energy, oscillators have seen groundbreaking changes in setup, operation and their applicability.
There are harmonic oscillators which produce a continuous sine wave output of certain frequencies as per the passive
components involved. Additionally, are known Relaxation oscillator which yield triangular, square and sawtooth waves
as output to name a few. The present paper deals with the details of how a fundamental Colpitts oscillatory circuit
can be designed. Furthermore, we would take a look at optimizing its performance with change in several dependent
characteristics in oscillation. We would conclude with an inference pertaining to the best customization with could be
put to practical usage.
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Electrical & Electronic Systems
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ISSN: 2332-0796