Design of Electrical Networks Through Computer-Aidedoptimization Techniques
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Date
1993-06
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Addis Ababa University
Abstract
The objective of the study reported in this thesis has been to develop a unified algorithm
for the computer-aided design of a wide range of electrical network configurations.
While the design has been based on well-known techniques established earlier by other
researchers, the present work has made significant contributions in simplifying the uses
of nodal equation formulation method, graph theoretic concepts and topological
formulas, as well as applications of a modified least p-th Taylor method, component
damping techniques, sensitivity analyses and related design concepts. The basic
computer-aided design approachfor a selected network was realized byfirst generating
a voltage gain transfer function from the network connectivity details. Information
concerning the gradient vector necessary in the course of an optimization process was
then derived through a direct method of sensitivity analysis, without performing the
normally needed first orderpartial differentiations. Comparison of a transfer function
against desired response was preceded by sampling of the latter at selected frequency
points and the whole adjustment was eventually automated via the least p-th Taylor
method of optimization. It has been established that this approach avoided the time
consuming calculation of a Hessian matrix that is usually required for performing
network optimization. Convergence properties of the least p-th Taylor method were
improved through a use of Fletcher's modification of the classicalLevenberg-Marquardt
method together with component damping techniques. The concept of dynamic memory
allocation has also been exploited. The resulting computer-aided network design
technique was therefore efficient in terms of both processing time and memory
requirements and the entire package has been termed as a Pascal program for optimal
network design or P-POND. The algorithm has beenfully tested in its usefor designing
both passive and active network types by specifying initial network parameters and
input-output relations.
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Networks Through