Use this URL to cite or link to this record in EThOS: http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.605602
Title: Passive electrical and mechanical network synthesis
Author: Jiang, Z.
Awarding Body: University of Cambridge
Current Institution: University of Cambridge
Date of Award: 2010
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Abstract:
This dissertation is concerned with low-complexity mechanical and electrical network synthesis. This dissertation first formalises the concept of regular positive real function and develops a series of lemmas characterising the basic properties of regularity. This concept will be shown to be useful in the classification of low-complexity two-terminal networks. We classify the positive-real biquadratic functions which can be realised by five-element networks. It will be shown that a biquadratic can be realised by a series-parallel network with two reactive elements if and only if it is regular. Moreover, there are two such networks quartets which can realise all regular biquadratics. It will also be shown that the only five-element networks which can realise non-regular biquadratics can be arranged into three network quartets. We then investigate the series-parallel six-element networks with three reactive elements. We will describe a classification procedure to find an efficient subset of such networks which may realise any non-regular biquadratic that can be synthesised by this class of networks. Four network quartets will be identified which serve this purpose. We will then derive the non-regular biquadratics which can be realised by each quartet. We will show that the set of non-regular realisable biquadratics are identical for three of the quartets. The series-parallel six-element networks with four reactive elements will then be investigated. We describe a classification procedure to find an efficient subset of such networks which may realise any non-regular biquadratic that can be synthesised by this class of networks. Five network quartets will be identified which serve this purpose. We will then derive the non-regular biquadratics which can be realised by each quartet.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID: uk.bl.ethos.605602  DOI: Not available
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