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Mathematical aspects for electrical network connections |
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| รหัสดีโอไอ | |
| Creator | Pattrawut Chansangiam |
| Title | Mathematical aspects for electrical network connections |
| Publisher | Faculty of Engineering, Khon Kaen University |
| Publication Year | 2559 |
| Journal Title | KKU Engineering Journal |
| Journal Vol. | 43 |
| Journal No. | 1 |
| Page no. | 47-54 |
| Keyword | Electrical network connection, Maxwell's power principle, Parallel sum, Positive definite matrix, Positive operator |
| ISSN | 0125-8280 |
| Abstract | In this paper, we survey the role of mathematics in electrical network connections. We discuss the behavior of current flows, voltages and impedances mainly for series-parallel networks. In both one-port and multiport electrical networks, the currents through these networks are governed by Maxwell's power principle. The joint impedances of the networks, given in terms of series sum and parallel sum, satisfy the series-parallel inequality. An abstract idea can be formulated in functional analysis aspect in which any network connection is viewed to be a binary operation for positive operators satisfying certain algebraic, order and topological properties. |
