| Issue |
E3S Web Conf.
Volume 139, 2019
Rudenko International Conference “Methodological problems in reliability study of large energy systems” (RSES 2019)
|
|
|---|---|---|
| Article Number | 01069 | |
| Number of page(s) | 6 | |
| DOI | https://doi.org/10.1051/e3sconf/201913901069 | |
| Published online | 16 December 2019 | |
Synthesis of fast and superfast solvers of large systems of linear algebraic equations in Power Flow Calculation
1 Moscow Power Engineering Institute, Department of Electric Power Systems, Krasnokazarmennaya 14, Moscow, Russia
2 Bauman State Technical University, 2nd Baumanskaya str., 5, Moscow, Russia
* Corresponding author ryabchenko.vn@yandex.ru
Algorithms for fast and superfast solvers of large systems of linear algebraic equations, used in solving mathematical problems of electric power industry, are proposed. These algorithms are constructed based on a novel method of multistep decomposition of a multidimensional linear dynamic system. Examples of the analytical synthesis of iterative solvers for matrices of the general form and for large numerical systems of linear algebraic equations are presented.
© The Authors, published by EDP Sciences, 2019
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