Use this URL to cite or link to this record in EThOS: | https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.474463 |
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Title: | Multimodal behaviour and transition characteristics of the nonlinear jump phenomenon in mutually coupled circuits | ||||
Author: | Taha, M. F. |
ISNI:
0000 0001 3495 744X
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Awarding Body: | University of Sussex | ||||
Current Institution: | University of Sussex | ||||
Date of Award: | 1969 | ||||
Availability of Full Text: |
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Abstract: | |||||
This thesis is concerned with the analysis of the multimodal
behaviour and transition characteristics of the jump phenomenon in
nonlinear coupled circuits. The work is based on earlier work done
in studying second order nonlinear systems whereby a graphical
method based on the describing function and integral curve
representation is employed to estimate transients. The analysis
of a simple series nonlinear L.C.R. cirucit is carried further to
include a shorted secondary coil. A further step in the analysis
is reached when a voltage in series with the shorted secondary is
considered and. the analysis carried out to determine the effect of
this secondary voltage on the behaviour of the system. This is
done for different phases and amplitudes of the secondary voltage
when applied to the system at different instants of time. These
two cases are fully analysed both in the steady state and transiently.
The overall transformer coupled circuit is then considered and
due to the complexity of the circuit the analysis is done by
assuming that the transformer coupled circuit be replaced by an
equivalent T-network of inductances. This representation results
in three second order nonlinear differential equations for the
system which can be solved for the steady state. With some
approximations a transient transpose analysis even is possible
and the simulation of the system gives more insight into its
transitional behaviour.
In all these systems considerable use is made of the digital
computer to plot the integral curves and the transients derived
from them. The analogue computer is also extensively used to
verify the theoretical results. Methods whereby integral
curves can be related to the time varying quantities in the systems
are given and it is shown how initial conditions leading to a given
mode of response can be estimated.
The whole work in this thesis is directed mostly to the
question of the transition of the current (or flux) by means of
a mutually coupled circuit so that it can be applied to the
development of an amplitude oontrol scheme for the application of
osoillating motors to bobbin winders.
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Supervisor: | Not available | Sponsor: | Not available | ||
Qualification Name: | Thesis (Ph.D.) | Qualification Level: | Doctoral | ||
EThOS ID: | uk.bl.ethos.474463 | DOI: | Not available | ||
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