UNIFIED MODELS OF ELEMENTS OF POWER SUPPLY SYSTEMS BASED ON EQUATIONS IN PHASE COORDINATES

Purpose. The models of electrical machines in the phase coordinates, the universal algorithm for the simulation of separate elements in a d-q coordinates system and in a phase-coordinates system are proposed. Methodology. Computer methods of investigation of transients in electrical systems are base...

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Autores principales:	Yu.N. Vepryk, O.A. Nebera
Formato:	article
Lenguaje:	EN RU UK
Publicado:	National Technical University "Kharkiv Polytechnic Institute" 2015
Materias:	power system transients mathematical model electrical machines synchronous generator induction motor phase coordinates Electrical engineering. Electronics. Nuclear engineering TK1-9971
Acceso en línea:	https://doaj.org/article/508e16b0e069441cb9628aef19475009
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spelling	oai:doaj.org-article:508e16b0e069441cb9628aef194750092021-12-02T17:56:27ZUNIFIED MODELS OF ELEMENTS OF POWER SUPPLY SYSTEMS BASED ON EQUATIONS IN PHASE COORDINATES2074-272X2309-3404https://doaj.org/article/508e16b0e069441cb9628aef194750092015-12-01T00:00:00Zhttp://eie.khpi.edu.ua/article/view/54549/50788https://doaj.org/toc/2074-272Xhttps://doaj.org/toc/2309-3404Purpose. The models of electrical machines in the phase coordinates, the universal algorithm for the simulation of separate elements in a d-q coordinates system and in a phase-coordinates system are proposed. Methodology. Computer methods of investigation of transients in electrical systems are based on a compilation of systems of differential equations and their numerical integration solution methods. To solve differential equations an implicit method of numerical integration was chosen. Because it provides to complete structural simulation possibility: firstly developing models of separate elements and then forming a model of the complex system. For the mathematical simulation of electromagnetic transients in the elements of the electrical systems has been accepted the implicit Euler-Cauchy method, because it provides a higher precision and stability of the computing processes. Results. In developing the model elements identified two groups of elements: - Static elements and electrical machines in the d-q coordinates; - Rotating electrical machines in phase coordinates. As an example, the paper provides a model of synchronous and asynchronous electric machines in the d-q coordinates system and the phase coordinate system. The generalization algorithm and the unified notation form of equations of elements of an electrical system are obtained. It provides the possibility of using structural methods to develop a mathematical model of power systems under transient conditions. Practical value. In addition, the using of a computer model allows to implement multivariant calculations for research and study of factors affecting the quantitative characteristics of the transients. Yu.N. VeprykO.A. NeberaNational Technical University "Kharkiv Polytechnic Institute"articlepower systemtransientsmathematical modelelectrical machinessynchronous generatorinduction motorphase coordinatesElectrical engineering. Electronics. Nuclear engineeringTK1-9971ENRUUKElectrical engineering & Electromechanics, Iss 6, Pp 56-60 (2015)
institution	DOAJ
collection	DOAJ
language	EN RU UK
topic	power system transients mathematical model electrical machines synchronous generator induction motor phase coordinates Electrical engineering. Electronics. Nuclear engineering TK1-9971
spellingShingle	power system transients mathematical model electrical machines synchronous generator induction motor phase coordinates Electrical engineering. Electronics. Nuclear engineering TK1-9971 Yu.N. Vepryk O.A. Nebera UNIFIED MODELS OF ELEMENTS OF POWER SUPPLY SYSTEMS BASED ON EQUATIONS IN PHASE COORDINATES
description	Purpose. The models of electrical machines in the phase coordinates, the universal algorithm for the simulation of separate elements in a d-q coordinates system and in a phase-coordinates system are proposed. Methodology. Computer methods of investigation of transients in electrical systems are based on a compilation of systems of differential equations and their numerical integration solution methods. To solve differential equations an implicit method of numerical integration was chosen. Because it provides to complete structural simulation possibility: firstly developing models of separate elements and then forming a model of the complex system. For the mathematical simulation of electromagnetic transients in the elements of the electrical systems has been accepted the implicit Euler-Cauchy method, because it provides a higher precision and stability of the computing processes. Results. In developing the model elements identified two groups of elements: - Static elements and electrical machines in the d-q coordinates; - Rotating electrical machines in phase coordinates. As an example, the paper provides a model of synchronous and asynchronous electric machines in the d-q coordinates system and the phase coordinate system. The generalization algorithm and the unified notation form of equations of elements of an electrical system are obtained. It provides the possibility of using structural methods to develop a mathematical model of power systems under transient conditions. Practical value. In addition, the using of a computer model allows to implement multivariant calculations for research and study of factors affecting the quantitative characteristics of the transients.
format	article
author	Yu.N. Vepryk O.A. Nebera
author_facet	Yu.N. Vepryk O.A. Nebera
author_sort	Yu.N. Vepryk
title	UNIFIED MODELS OF ELEMENTS OF POWER SUPPLY SYSTEMS BASED ON EQUATIONS IN PHASE COORDINATES
title_short	UNIFIED MODELS OF ELEMENTS OF POWER SUPPLY SYSTEMS BASED ON EQUATIONS IN PHASE COORDINATES
title_full	UNIFIED MODELS OF ELEMENTS OF POWER SUPPLY SYSTEMS BASED ON EQUATIONS IN PHASE COORDINATES
title_fullStr	UNIFIED MODELS OF ELEMENTS OF POWER SUPPLY SYSTEMS BASED ON EQUATIONS IN PHASE COORDINATES
title_full_unstemmed	UNIFIED MODELS OF ELEMENTS OF POWER SUPPLY SYSTEMS BASED ON EQUATIONS IN PHASE COORDINATES
title_sort	unified models of elements of power supply systems based on equations in phase coordinates
publisher	National Technical University "Kharkiv Polytechnic Institute"
publishDate	2015
url	https://doaj.org/article/508e16b0e069441cb9628aef19475009
work_keys_str_mv	AT yunvepryk unifiedmodelsofelementsofpowersupplysystemsbasedonequationsinphasecoordinates AT oanebera unifiedmodelsofelementsofpowersupplysystemsbasedonequationsinphasecoordinates
_version_	1718379044474454016

UNIFIED MODELS OF ELEMENTS OF POWER SUPPLY SYSTEMS BASED ON EQUATIONS IN PHASE COORDINATES

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