Leakage flux and force calculation on power transformer windings under short-circuit: 2D and 3D models based on the theory of images and the finite element method compared to measurements

1994 ◽  
Vol 30 (5) ◽  
pp. 3487-3490 ◽  
Author(s):  
A.G. Kladas ◽  
M.P. Papadopoulos ◽  
J.A. Tegopoulos
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Power Transformer ◽  
Short Circuit ◽  
3D Models ◽  
The Finite Element Method ◽  
Leakage Flux ◽  
2D And 3D ◽  
Force Calculation ◽  
Element Method

scholarly journals Computation of Power Transformer Reactance using Finite Element Method

2020 ◽  
Vol 8 (6) ◽  
pp. 1816-1821
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Industrial Revolution ◽  
Classical Method ◽  
Power Transformer ◽  
The Finite Element Method ◽  
3D Design ◽  
Equivalent Circuit Parameters ◽  
And Performance ◽  
Element Method

The reactance of the transformer windings is an important component for the design which has a direct effect on its operation. Reactance is used for computation of not only the transformer equivalent circuit parameters and also for designing its protection. The Roth’s method, Rabin method, method of images, and classical methods are the traditional methods used for its calculation. The finite element method can be used for the calculation of transformer reactance. In the industrial revolution 4.0 all manufactured transformers would be evaluated through their 3D design and performance analyzed by computational methods. In this work the reactance calculated by the finite element method has been compared to that calculated by the classical method. The calculated values of energy stored in the windings and other parts and the reactance can be found.

scholarly journals Cálculo de la impedancia de secuencia cero del transformador Zig-Zag tipo núcleo de tres columnas utilizando el método de elementos finitos

2020 ◽  
Author(s):  
◽  
Alejandro Castillo Pérez
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Magnetic Energy ◽  
3D Models ◽  
The Finite Element Method ◽  
Zero Sequence ◽  
Scalar Potentials ◽  
The University ◽  
Magnetic Energy Storage ◽  
Element Method

In the present work, the zero sequence impedance, of a three column core type grounding Zig-Zag transformer of 9.959 MVA , 34.5 kV is calculated applying the finite element method. A magneto-dynamic analysis is performed to study the grounding transformer in the frequency domain. 2D and 3D models are built, which are solved through the formulations of vector and scalar potentials. Once the behavior of the magnetic field has been studied, the magnetic energy storage technique is used to calculate the value of the zero sequence impedance. The results obtained by the finite element method were experimentally validated in the laboratory. In recent years the classical design of these grounding transformers has not changed. Therefore, this work presents the solution of a problem posed by a Mexican manufacturer of transformers, which represents an excellent relationship between the university-company binomial.

Introduction to Finite Elements in Engineering

2021 ◽  
Author(s):  
Tirupathi Chandrupatla ◽  
Ashok Belegundu
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Time Dependent ◽  
Plate Bending ◽  
The Finite Element Method ◽  
Hands On ◽  
Sparse Solutions ◽  
2D And 3D ◽  
Time Dependent Problems ◽  
Element Method

Thoroughly updated with improved pedagogy, the fifth edition of this classic textbook continues to provide students with a clear and comprehensive introduction the fundamentals of the finite element method. New features include coverage of core topics – including mechanics and heat conduction, energy and Galerkin approaches, convergence and adaptivity, time-dependent problems, and computer implementation – in the context of simple 1D problems, before advancing to 2D and 3D problems; expanded coverage of reduction of bandwidth, profile and fill-in for sparse solutions, time-dependent problems, plate bending, and nonlinearity; over thirty additional solved problems; and downloadable Matlab, Python, C, Javascript, Fortran and Excel VBA code providing students with hands-on experience. Accompanied by online solutions for instructors, this is the definitive text for senior undergraduate and graduate students studying a first course in the finite element method, and for professional engineers keen to shore up their understanding of finite element fundamentals.

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