In this paper a general n-port network’s equivalent current theorem has been derived out, for n = 1, 2…. the traditional Norton’s Theorem is only a special case of it for n=1. When an n-port passive linear time-invariant network is connected to another n-port linear time-invariant network which contained sinusoidal sources with same frequency, this theorem provides a new way to calculate the port-current of the n-port passive network. But the short-port currents of the n-port network contained sinusoidal sources must be known at first. In sinusoidal networks, currents are vector quantity or complex quantity, including magnitude and phase angle. Ammeter can only be used to measure the magnitude of the current, not including its phase angle. So it is impossible to get the short-port currents by the short-port experiment. Moreover the short-port experiment may cause some dangerous events. So a special method to get the short-port currents is introduced in this paper, First to find out the open-port voltage vector ( including magnitude and phase angle), by measuring the voltages magnitude between some two points of the open-port with a voltmeter and by drawing a series of voltage vector triangles that one side vector is the sum of other two side vectors , if the phase angle of one side vector in a triangle is known, the phase angles of the other side vectors in the same triangle can be decided. In the first triangle, the first open-port voltage vector is contained, its phase angle can be assigned to be zero, then the phase angles of the other two voltage vectors in the first triangle can be decided. In the second triangle, one of the two above voltage vectors is contained, then the phase angles of the other two voltage vectors in the second triangle can be decided. Thus go on step by step, all the open-port voltage vectors can be obtained. And the open-port voltage complex matrix has been obtained. The equation related the short-port current complex matrix and the open-port voltage complex matrix has been derived out in this paper. So the short-port current complex matrix can be obtained.
| Published in | Journal of Electrical and Electronic Engineering (Volume 6, Issue 6) |
| DOI | 10.11648/j.jeee.20180606.11 |
| Page(s) | 142-145 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2024. Published by Science Publishing Group |
Admittance Matrix, Equivalent Current Sources, Short-port Currents
| [1] | RS Liang: A General n-Port Network’s Reciprocity Theorem, Journal of Wuhan Iron and Steel Intitute, VOL.24, NO.3, September 1985. |
| [2] | W. K. Cheng and RS Liang: A General n-Port Network’s Reciprocity Theorem, IEEE on education, VOL.33, NO.4, November 1990. |
| [3] | RS Liang: A General n-Port Network’s Equivalent voltage Source Theorem Hans Open Journal of Circuits and Systems. VOL.5, NO.2, June 2016. |
| [4] | RS Liang: A General n-Port Network’s Maximum Transfer Power Theorem Hans Open Journal of Circuits and Systems, VOL.5, NO.2, June 2016. |
APA Style
Runsheng Liang. (2018). A General n-Port Network’s Equivalent Current Sources Theorem. Journal of Electrical and Electronic Engineering, 6(6), 142-145. https://doi.org/10.11648/j.jeee.20180606.11
ACS Style
Runsheng Liang. A General n-Port Network’s Equivalent Current Sources Theorem. J. Electr. Electron. Eng. 2018, 6(6), 142-145. doi: 10.11648/j.jeee.20180606.11
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Download@article{10.11648/j.jeee.20180606.11,
author = {Runsheng Liang},
title = {A General n-Port Network’s Equivalent Current Sources Theorem},
journal = {Journal of Electrical and Electronic Engineering},
volume = {6},
number = {6},
pages = {142-145},
doi = {10.11648/j.jeee.20180606.11},
url = {https://doi.org/10.11648/j.jeee.20180606.11},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.jeee.20180606.11},
abstract = {In this paper a general n-port network’s equivalent current theorem has been derived out, for n = 1, 2…. the traditional Norton’s Theorem is only a special case of it for n=1. When an n-port passive linear time-invariant network is connected to another n-port linear time-invariant network which contained sinusoidal sources with same frequency, this theorem provides a new way to calculate the port-current of the n-port passive network. But the short-port currents of the n-port network contained sinusoidal sources must be known at first. In sinusoidal networks, currents are vector quantity or complex quantity, including magnitude and phase angle. Ammeter can only be used to measure the magnitude of the current, not including its phase angle. So it is impossible to get the short-port currents by the short-port experiment. Moreover the short-port experiment may cause some dangerous events. So a special method to get the short-port currents is introduced in this paper, First to find out the open-port voltage vector ( including magnitude and phase angle), by measuring the voltages magnitude between some two points of the open-port with a voltmeter and by drawing a series of voltage vector triangles that one side vector is the sum of other two side vectors , if the phase angle of one side vector in a triangle is known, the phase angles of the other side vectors in the same triangle can be decided. In the first triangle, the first open-port voltage vector is contained, its phase angle can be assigned to be zero, then the phase angles of the other two voltage vectors in the first triangle can be decided. In the second triangle, one of the two above voltage vectors is contained, then the phase angles of the other two voltage vectors in the second triangle can be decided. Thus go on step by step, all the open-port voltage vectors can be obtained. And the open-port voltage complex matrix has been obtained. The equation related the short-port current complex matrix and the open-port voltage complex matrix has been derived out in this paper. So the short-port current complex matrix can be obtained.},
year = {2018}
}
TY - JOUR T1 - A General n-Port Network’s Equivalent Current Sources Theorem AU - Runsheng Liang Y1 - 2018/12/24 PY - 2018 N1 - https://doi.org/10.11648/j.jeee.20180606.11 DO - 10.11648/j.jeee.20180606.11 T2 - Journal of Electrical and Electronic Engineering JF - Journal of Electrical and Electronic Engineering JO - Journal of Electrical and Electronic Engineering SP - 142 EP - 145 PB - Science Publishing Group SN - 2329-1605 UR - https://doi.org/10.11648/j.jeee.20180606.11 AB - In this paper a general n-port network’s equivalent current theorem has been derived out, for n = 1, 2…. the traditional Norton’s Theorem is only a special case of it for n=1. When an n-port passive linear time-invariant network is connected to another n-port linear time-invariant network which contained sinusoidal sources with same frequency, this theorem provides a new way to calculate the port-current of the n-port passive network. But the short-port currents of the n-port network contained sinusoidal sources must be known at first. In sinusoidal networks, currents are vector quantity or complex quantity, including magnitude and phase angle. Ammeter can only be used to measure the magnitude of the current, not including its phase angle. So it is impossible to get the short-port currents by the short-port experiment. Moreover the short-port experiment may cause some dangerous events. So a special method to get the short-port currents is introduced in this paper, First to find out the open-port voltage vector ( including magnitude and phase angle), by measuring the voltages magnitude between some two points of the open-port with a voltmeter and by drawing a series of voltage vector triangles that one side vector is the sum of other two side vectors , if the phase angle of one side vector in a triangle is known, the phase angles of the other side vectors in the same triangle can be decided. In the first triangle, the first open-port voltage vector is contained, its phase angle can be assigned to be zero, then the phase angles of the other two voltage vectors in the first triangle can be decided. In the second triangle, one of the two above voltage vectors is contained, then the phase angles of the other two voltage vectors in the second triangle can be decided. Thus go on step by step, all the open-port voltage vectors can be obtained. And the open-port voltage complex matrix has been obtained. The equation related the short-port current complex matrix and the open-port voltage complex matrix has been derived out in this paper. So the short-port current complex matrix can be obtained. VL - 6 IS - 6 ER -
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