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- Article name
- DECOMPOSITION OF LARGE SYSTEMS BASED ON THE DESCRIPTION OF SEPARATION VARIABLES IN A MIXED BASIS
- Authors
- Gridin V. N., , info@ditc.ras.ru, Federal State Institution of Science Center for Information Technology in the Design of Sciences, Moscow, Russia
Anisimov V. I., , vianisimov@inbox.ru, Center for Information Technology in the design of the RAS, Moscow, Russia
- Keywords
- computer-aided design systems / system modeling / generalized signal graph / decomposition methods / technology for calculating loosely coupled systems in parts
- Year
- 2019 Issue 4 Pages 3 - 7
- Code EDN
- Code DOI
- Abstract
- It is noted that the decomposition of large systems based on using a homogeneous system of potential variables to separate the subsystems leads to the description of the original system by a matrix equation containing a bordered block matrix in which the parameters of each kth subsystem are contained in four block matrices Wkk, Wk0, W0k, W00. Such a description structure significantly complicates the organization of iterative computational processes, in the course of which it is necessary to process all of the specified block matrices, which is a disadvantage in choosing a homogeneous basis for describing the separation variables. This disadvantage manifests itself to the greatest extent in solving optimization problems, when it is desirable at each iteration of the process of finding the optimal design solution to recalculate only part of the description containing variable parameters. In the work it is proposed to decompose large systems to localize a certain set of parameters within a single block matrix Wkk to implement the transition to the description of system separation variables in a mixed basis containing both potential and current variables.
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