The Use of Hyper-Complex Number Systems for Mathematical Modeling of Limit Modes Electrical Systems

It has been considered restrictions of classical complex variable theory to analyze complex equa-tions for steady-state mode electrical systems due non-analyticity complex power as a function of com-plex voltages. It is shown that the vector components of complex real hyper-complex solutions appear...

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Bibliographic Details
Date:2012
Main Author: Klipkov, S. I.
Format: Article
Language:rus
Published: Інститут проблем реєстрації інформації НАН України 2012
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Online Access:http://drsp.ipri.kiev.ua/article/view/105242
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Journal Title:Data Recording, Storage & Processing

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Data Recording, Storage & Processing
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Summary:It has been considered restrictions of classical complex variable theory to analyze complex equa-tions for steady-state mode electrical systems due non-analyticity complex power as a function of com-plex voltages. It is shown that the vector components of complex real hyper-complex solutions appear in a subset of the domain of existence of established modes of the confluent complex matrices first approximation, the formation of which uses the notion pseudo-derivative of the. Thus, that significantly simplifies the mathematical modeling of limit modes for electrical systems. Tabl.: 2. Fig.: 1. Refs: 15 titles.