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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National Technical University "Kharkiv Polytechnic Institute" and Аnatolii Pidhornyi Institute of Power Machines and Systems of NAS of Ukraine
2015
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eiekhpieduua-article-545492016-11-22T17:10:02Z UNIFIED MODELS OF ELEMENTS OF POWER SUPPLY SYSTEMS BASED ON EQUATIONS IN PHASE COORDINATES УНИФИЦИРОВАННЫЕ МОДЕЛИ ЭЛЕМЕНТОВ СИСТЕМ ЭЛЕКТРОСНАБЖЕНИЯ НА ОСНОВЕ УРАВНЕНИЙ В ФАЗНЫХ КООРДИНАТАХ УНИФИЦИРОВАННЫЕ МОДЕЛИ ЭЛЕМЕНТОВ СИСТЕМ ЭЛЕКТРОСНАБЖЕНИЯ НА ОСНОВЕ УРАВНЕНИЙ В ФАЗНЫХ КООРДИНАТАХ Vepryk, Yu. M. Nebera, O. A. power system transients mathematical model electrical machines synchronous generator induction motor phase coordinates 621.311.014 энергосистема переходные процессы математическая модель электрические машины синхронный генератор асинхронный двигатель фазные координаты 621.311.014 енергосистема перехідні процеси математична модель електричні машини синхронний генератор асинхронний двигун фазні координати 621.311.014 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. В статье рассматриваются методы математического моделирования элементов электрических систем, которые основаны на составлении систем дифференциальных уравнений и их решении методами численного интегрирования. Представлены дискретные уравнения электрических машин в системе координат d-q-0 и в системе фазных координат. Предложен алгоритм моделирования отдельных элементов электрических систем для разработки математической модели систем электроснабжения в переходных режимах. У статті розглядаються методи математичного моделювання елементів електричних систем, що засновані на складанні систем диференціальних рівнянь та їх розв'язанні методами чисельного інтегрування. Представлені дискретні рівняння електричних машин в системі координат d-q-0 і в системі фазних координат. Запропоновано алгоритм моделювання окремих елементів електричних систем для розробки математичної моделі систем електропостачання в перехідних режимах. National Technical University "Kharkiv Polytechnic Institute" and Аnatolii Pidhornyi Institute of Power Machines and Systems of NAS of Ukraine 2015-11-26 Article Article application/pdf http://eie.khpi.edu.ua/article/view/2074-272X.2015.6.10 10.20998/2074-272X.2015.6.10 Electrical Engineering & Electromechanics; No. 6 (2015); 56-60 Электротехника и Электромеханика; № 6 (2015); 56-60 Електротехніка і Електромеханіка; № 6 (2015); 56-60 2309-3404 2074-272X ru http://eie.khpi.edu.ua/article/view/2074-272X.2015.6.10/50788 Copyright (c) 2015 Yu. M. Vepryk, O. A. Nebera https://creativecommons.org/licenses/by-nc/4.0 |
| institution |
Electrical Engineering & Electromechanics |
| baseUrl_str |
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| datestamp_date |
2016-11-22T17:10:02Z |
| collection |
OJS |
| language |
Russian |
| topic |
power system transients mathematical model electrical machines synchronous generator induction motor phase coordinates 621.311.014 |
| spellingShingle |
power system transients mathematical model electrical machines synchronous generator induction motor phase coordinates 621.311.014 Vepryk, Yu. M. Nebera, O. A. UNIFIED MODELS OF ELEMENTS OF POWER SUPPLY SYSTEMS BASED ON EQUATIONS IN PHASE COORDINATES |
| topic_facet |
power system transients mathematical model electrical machines synchronous generator induction motor phase coordinates 621.311.014 энергосистема переходные процессы математическая модель электрические машины синхронный генератор асинхронный двигатель фазные координаты 621.311.014 енергосистема перехідні процеси математична модель електричні машини синхронний генератор асинхронний двигун фазні координати 621.311.014 |
| format |
Article |
| author |
Vepryk, Yu. M. Nebera, O. A. |
| author_facet |
Vepryk, Yu. M. Nebera, O. A. |
| author_sort |
Vepryk, Yu. M. |
| 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 |
| title_alt |
УНИФИЦИРОВАННЫЕ МОДЕЛИ ЭЛЕМЕНТОВ СИСТЕМ ЭЛЕКТРОСНАБЖЕНИЯ НА ОСНОВЕ УРАВНЕНИЙ В ФАЗНЫХ КООРДИНАТАХ УНИФИЦИРОВАННЫЕ МОДЕЛИ ЭЛЕМЕНТОВ СИСТЕМ ЭЛЕКТРОСНАБЖЕНИЯ НА ОСНОВЕ УРАВНЕНИЙ В ФАЗНЫХ КООРДИНАТАХ |
| 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. |
| publisher |
National Technical University "Kharkiv Polytechnic Institute" and Аnatolii Pidhornyi Institute of Power Machines and Systems of NAS of Ukraine |
| publishDate |
2015 |
| url |
http://eie.khpi.edu.ua/article/view/2074-272X.2015.6.10 |
| work_keys_str_mv |
AT veprykyum unifiedmodelsofelementsofpowersupplysystemsbasedonequationsinphasecoordinates AT neberaoa unifiedmodelsofelementsofpowersupplysystemsbasedonequationsinphasecoordinates AT veprykyum unificirovannyemodeliélementovsistemélektrosnabženiânaosnoveuravnenijvfaznyhkoordinatah AT neberaoa unificirovannyemodeliélementovsistemélektrosnabženiânaosnoveuravnenijvfaznyhkoordinatah |
| first_indexed |
2025-07-17T11:45:39Z |
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2025-07-17T11:45:39Z |
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