A procedure for the synthesis of a fundamental loop or cut set matrix

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Authors
Lohse, Hans Jurgen
Subjects
Advisors
Parker, Sydney R.
Date of Issue
1968-12
Date
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Monterey, California. U.S. Naval Postgraduate School
Language
en_US
Abstract
Existing realization procedures for a fundamental loop or cut set matrix are reviewed, compared, and classified broadly on the basis of their underlying approach. A new combinatorial synthesis technique is presented utilizing the concepts of trunk branches, main branches, limbs, and unique connections which are introduced. This procedure is direct, easy to apply and learn, general, and yields an expression for the number of physically different or alternate realizations which are possible. A general computer program for realization of the graphs is presented and illustrated with some examples.
Existing realization procedures for a fundamental loop or cut set matrix are reviewed, compared, and classified broadly on the basis of their underlying approach. A new combinatorial synthesis technique is presented utilizing the concepts of trunk branches, main branches, limbs, and unique connections which are introduced. This procedure is direct, easy to apply and learn, general, and yields an expression for the number of physically different or alternate realizations which are possible. A general computer program for realization of the graphs is presented and illustrated with some examples.
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Thesis
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Approved for public release; distribution is unlimited.
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