Applications of the theory of matrices to electric networks
| dc.contributor.advisor | Newhouse, Albert | |
| dc.contributor.committeeMember | Schneider, William P. | |
| dc.contributor.committeeMember | Rider, John A. | |
| dc.creator | Scroggs, James E. | |
| dc.date.accessioned | 2022-02-03T17:17:52Z | |
| dc.date.available | 2022-02-03T17:17:52Z | |
| dc.date.issued | 1954 | |
| dc.description.abstract | The objective of thia thesis is the investigation of the application of the theory of matrices to analysis of electric networks. Various theorems from the theory of matrices which are applicable to matrix analysis of electric networks are stated and proved in Part I. Part II, Chapters III and IV, consists of problems of electric network theory whose solutions are facilitated by use of the theory of matrices. Using matrix methods, the mesh and node pair equations are developed and solved In Chapter III. Applications of matrix methods to transmission networks and transmission lines are considered in Chapter IV. It is the opinion of the author that the method of developement of equation (3.2.13), Theorems 4.1.1 and 4.2.1, and the proofs of Theorems 4.4.1 and 4,4.2 are original contributions. Equation (3.2.13) is one of the principal equations used in node pair analysis of electric networks. Theorems 4.1.1 and 4.2.1 are concerned with the matrix associated with a transmission network. Some interesting properties of a particular matrix are stated in Theorems 4.4.1 and 4.4.2. This matrix is useful in the analysis of fully transposed transmission lines. | |
| dc.description.department | Mathematics, Department of | |
| dc.format.digitalOrigin | reformatted digital | |
| dc.format.mimetype | application/pdf | |
| dc.identifier.other | 13673595 | |
| dc.identifier.uri | https://hdl.handle.net/10657/8666 | |
| dc.language.iso | en | |
| dc.rights | This item is protected by copyright but is made available here under a claim of fair use (17 U.S.C. §107) for non-profit research and educational purposes. Users of this work assume the responsibility for determining copyright status prior to reusing, publishing, or reproducing this item for purposes other than what is allowed by fair use or other copyright exemptions. Any reuse of this item in excess of fair use or other copyright exemptions requires express permission of the copyright holder. | |
| dc.title | Applications of the theory of matrices to electric networks | |
| dc.type.dcmi | Text | |
| dc.type.genre | Thesis | |
| thesis.degree.department | Mathematics, Department of | |
| thesis.degree.discipline | Mathematics | |
| thesis.degree.grantor | University of Houston | |
| thesis.degree.level | Masters | |
| thesis.degree.name | Master of Arts in Mathematics |
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