| Issue |
E3S Web Conf.
Volume 25, 2017
Methodological Problems in Reliability Study of Large Energy Systems (RSES 2017)
|
|
|---|---|---|
| Article Number | 03002 | |
| Number of page(s) | 5 | |
| Section | Models and methods of research and ensuring the reliability of modern and prospective energy systems | |
| DOI | https://doi.org/10.1051/e3sconf/20172503002 | |
| Published online | 01 December 2017 | |
Construction of equivalents of large equations systems of electrical network based on matrix annulators
National research university "MPEI",Institute of Electrical Power Engineering, 14 Krasnokazarmennaya St, Moscow, Russia
* Corresponding author: gadzhiev_mg@interrao.ru
An original method of reducing the equations of node voltages is proposed with the aim of equivalence of the electric network. The method is based on the matrix transformations of the indicated equations with the help of matrix annulators. It is shown that this method, in comparison with the traditional one, makes it possible to improve the conditionality of the solved equations by an order of magnitude or more. This has a significant effect on the numerical stability of the resulting electrical network equivalents. The results of reduction of a small, large, and very large system of nodal stress equations are presented.
© The Authors, published by EDP Sciences, 2017
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (http://creativecommons.org/licenses/by/4.0/).
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