DEVELOPMENT OF NEW METHODS FOR ANALYTICAL ESTIMATION OF SELF-OSCILLATION STABILITY IN RELAY CIRCUITS

This article is devoted to the  development of analytically  described self-oscillation  stability  research  technique.  The case when  the  linear part  of the  system contains transfer function with a zero pole is considered. Typically the transfer function study,  where  the  numerator degree  i...

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Main Authors: A. G. Deripaska, M. V. Soklakova, E. P. Chernyshev
Format: Article
Language:Russian
Published: Saint Petersburg Electrotechnical University "LETI" 2018-08-01
Series:Известия высших учебных заведений России: Радиоэлектроника
Subjects:
Online Access:https://re.eltech.ru/jour/article/view/243
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author A. G. Deripaska
M. V. Soklakova
E. P. Chernyshev
author_facet A. G. Deripaska
M. V. Soklakova
E. P. Chernyshev
author_sort A. G. Deripaska
collection DOAJ
description This article is devoted to the  development of analytically  described self-oscillation  stability  research  technique.  The case when  the  linear part  of the  system contains transfer function with a zero pole is considered. Typically the transfer function study,  where  the  numerator degree  is two orders  of magnitude less than  the  denominator degree  is creates no problems. However, the presence of a zero pole makes the case special and requires  investigation.A comparative evaluation of the results of self-oscillation analytical  calculation  and stability analysis is given, by means of technique developed for symmetric self-oscillations with half-period repetitions and asymmetric ones with period repetitions.The presented technique is a significantly  new scientific step  in the development of methods for calculating  non-linear systems. It also allows  us to evaluate the  accuracy  of approximate calculation methods, which  is important for precision systems. The technique is relatively  easy  to  implement. It allows  to  find  a solution  as well as for the  cases  having  been unanalyzable so far.
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spelling doaj.art-d682047f51104b65b372b952abd76c3a2025-03-02T10:13:09ZrusSaint Petersburg Electrotechnical University "LETI"Известия высших учебных заведений России: Радиоэлектроника1993-89852658-47942018-08-010451210.32603/1993-8985-2018-21-4-5-12235DEVELOPMENT OF NEW METHODS FOR ANALYTICAL ESTIMATION OF SELF-OSCILLATION STABILITY IN RELAY CIRCUITSA. G. Deripaska0M. V. Soklakova1E. P. Chernyshev2Concern "Oceanpribor"Saint Petersburg Electrotechnical University "LETI"Saint Petersburg Electrotechnical University "LETI"This article is devoted to the  development of analytically  described self-oscillation  stability  research  technique.  The case when  the  linear part  of the  system contains transfer function with a zero pole is considered. Typically the transfer function study,  where  the  numerator degree  is two orders  of magnitude less than  the  denominator degree  is creates no problems. However, the presence of a zero pole makes the case special and requires  investigation.A comparative evaluation of the results of self-oscillation analytical  calculation  and stability analysis is given, by means of technique developed for symmetric self-oscillations with half-period repetitions and asymmetric ones with period repetitions.The presented technique is a significantly  new scientific step  in the development of methods for calculating  non-linear systems. It also allows  us to evaluate the  accuracy  of approximate calculation methods, which  is important for precision systems. The technique is relatively  easy  to  implement. It allows  to  find  a solution  as well as for the  cases  having  been unanalyzable so far.https://re.eltech.ru/jour/article/view/243self-oscillationstabilityrelay systemtransfer functiondiscrete circuitpulse characteristictransient characteristic
spellingShingle A. G. Deripaska
M. V. Soklakova
E. P. Chernyshev
DEVELOPMENT OF NEW METHODS FOR ANALYTICAL ESTIMATION OF SELF-OSCILLATION STABILITY IN RELAY CIRCUITS
Известия высших учебных заведений России: Радиоэлектроника
self-oscillation
stability
relay system
transfer function
discrete circuit
pulse characteristic
transient characteristic
title DEVELOPMENT OF NEW METHODS FOR ANALYTICAL ESTIMATION OF SELF-OSCILLATION STABILITY IN RELAY CIRCUITS
title_full DEVELOPMENT OF NEW METHODS FOR ANALYTICAL ESTIMATION OF SELF-OSCILLATION STABILITY IN RELAY CIRCUITS
title_fullStr DEVELOPMENT OF NEW METHODS FOR ANALYTICAL ESTIMATION OF SELF-OSCILLATION STABILITY IN RELAY CIRCUITS
title_full_unstemmed DEVELOPMENT OF NEW METHODS FOR ANALYTICAL ESTIMATION OF SELF-OSCILLATION STABILITY IN RELAY CIRCUITS
title_short DEVELOPMENT OF NEW METHODS FOR ANALYTICAL ESTIMATION OF SELF-OSCILLATION STABILITY IN RELAY CIRCUITS
title_sort development of new methods for analytical estimation of self oscillation stability in relay circuits
topic self-oscillation
stability
relay system
transfer function
discrete circuit
pulse characteristic
transient characteristic
url https://re.eltech.ru/jour/article/view/243
work_keys_str_mv AT agderipaska developmentofnewmethodsforanalyticalestimationofselfoscillationstabilityinrelaycircuits
AT mvsoklakova developmentofnewmethodsforanalyticalestimationofselfoscillationstabilityinrelaycircuits
AT epchernyshev developmentofnewmethodsforanalyticalestimationofselfoscillationstabilityinrelaycircuits