“Regular element” global SLAE of the finite element method when simulating electromagnetic processes of electric devices

Andreeva, Elena G.

doi:10.1088/1742-6596/1050/1/012003

Cited by 4 publications

(5 citation statements)

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“…The above statement largely reflects the definition of a complex system given in GOST 22.2.04-2012 [10], and correlates with a number of definitions adopted in the world and domestic literature [11][12][13][14], including the concept of a complex technical system. The corresponding outline structural energy flowchart of RIETC CTS in terms of systems analysis is shown in Figure 1.…”

Section: Resultsmentioning

confidence: 68%

“…In this case, complications arise in mathematical modeling, associated with the need to consider the interactions and interdependencies carried out by different physical forces. A solution is often sought through the use of a finite element network [13]. The "chain-field" problems can be provided as an example of a fairly effective application of this method, where a combination of computing packages is used, for example, ANSYS and Matlab.…”

Section: Methodsmentioning

confidence: 99%

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Renewable energy sustainability in terms of systems analysis

2020

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The article deals with the application of the principles of systems analysis in the study of sets of isolated power supply systems within the tasks of sustainable development. For such aggregates, in terms of systems analysis, the concept of a regionally isolated electrotechnical complex is introduced. The analyzed electrotechnical complex is proved to be a complex production and technological system. With regard to a complex production and technological system - a regionally isolated electrotechnical complex, the authors provide a meaningful interpretation of the following principles of the theory of systems analysis: consistency, connectivity, hierarchy, emergence, optimality, and equifinality.

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Section: Resultsmentioning

confidence: 68%

Section: Methodsmentioning

confidence: 99%

Renewable energy sustainability in terms of systems analysis

2020

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“…Рекуррентные соотношения для формирования глобальной СЛАУ из элементных уравнений (22): Запишем уравнение для 11-го узла «регулярного элемента» [12,13] (рис. 3):…”

Section: введем в рассмотрение векторный магнитный потенциалunclassified

Mathematical Description of Solution of the Three-Dimensional Boundary Value Problem for the Stationary Magnetic Field in the Cylindrical Coordinate System

Andreeva¹,

Tatevosyan²

2019

DSMM

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Аннотация. В статье предложен метод формирования численного проекционно-сеточного алгоритма на регулярной триангуляционной сети для расчетов трехмерных моделей магнитного поля синхронных магнитоэлектрических генераторов с возбуждением от постоянных магнитов (с использованием рекуррентных выражений, полученных для «регулярного элемента»). Использование «регулярного элемента» позволяет максимально автоматизировать процесс формирования глобальной системы линейных алгебраических уравнений в проекционно-сеточном методе Галеркина в сочетании с методом конечных элементов, минуя этап построения «элементных» систем уравнений. Центральное место в уточнении решения задачи оптимизации конструкций тихоходных синхронных магнитоэлектрических машин занимает расчет магнитного поля. По известному распределению индукции магнитного поля в областях, занятых обмоткой с током, вычисляются индуктивность обмотки, противо-ЭДС, рабочие характеристики. Ключевые слова: метод конечных элементов, метод Галеркина, магнитное поле, магнитная система.

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“…-для постоянного магнита и воздушного пространства уравнение Пуассона можно записать в виде , (15) причем плотность тока намагниченности…”

Section: ; (13)unclassified

“…По методу Галеркина [10-13] с использованием базисной функции формы N m [14,15] приведем уравнение (15) к виду:…”

Section: ; (13)unclassified

Method of formation of numerical projection-grid algorithm on basis of «three-dimensional regular element» for calculation of 3D-models of magnetic field in cylindrical coordinate system for synchronous magnetoelectric machines as part of high-tech electrotechnical complexes

Tatevosyan¹,

Andreeva²

2019

OSB

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“Regular element” global SLAE of the finite element method when simulating electromagnetic processes of electric devices

Cited by 4 publications

References 1 publication

Renewable energy sustainability in terms of systems analysis

Renewable energy sustainability in terms of systems analysis

Mathematical Description of Solution of the Three-Dimensional Boundary Value Problem for the Stationary Magnetic Field in the Cylindrical Coordinate System

Method of formation of numerical projection-grid algorithm on basis of «three-dimensional regular element» for calculation of 3D-models of magnetic field in cylindrical coordinate system for synchronous magnetoelectric machines as part of high-tech electrotechnical complexes

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