scholarly journals Calculation of the inductance of conductive nonmagnetic conductors by means of finite element method simulations

2018 ◽  
Vol 57 (3) ◽  
pp. 230-252 ◽  
Author(s):  
Jordi-Roger Riba ◽  
Francesca Capelli
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Distribution Systems ◽  
Engineering Students ◽  
Reactive Power ◽  
Power Transmission ◽  
Voltage Drop ◽  
Proximity Effects ◽  
Wide Range ◽  
Element Method

This article analyzes the inductance of different conductive nonmagnetic conductors’ configurations under alternating current supply. The inductance is a key design parameter in tracks of electronic devices, power transmission and distribution systems, and lightning, grounding, and bonding systems. Inductance highly relies on the problem geometry, and under AC supply, it is also influenced by skin and proximity effects. The inductance significantly determines voltage drop in conductors, thus increasing reactive power consumption and limiting conductors’ ampacity. Although this is an important topic, it is seldom studied in detail in undergraduate and even in graduate physics and engineering studies. To this end, this paper compares the results provided by existing closed formulas for simple conductors’ configurations with those attained through two-dimensional finite element method simulations. Finite element method based simulations are increasingly being incorporated in the syllabuses of graduate and undergraduate courses due to their accurate solutions and flexibility, since finite element method models can be applied in a wide range of electrical frequencies and configurations, some of which do not have an analytical solution. The finite element method based approach presented in this paper has been found a valuable complement to the lectures and assignments in electricity courses for engineering students.

scholarly journals Calculation of thermal field and ampacity of overhead power transmission lines using finite element method

2014 ◽  
Vol 17 (1) ◽  
pp. 16-29
Author(s):  
Long Van Hoang Vo ◽  
Tu Phan Vu
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Transmission Lines ◽  
Power Transmission ◽  
Power Lines ◽  
Power Transmission Lines ◽  
Thermal Fields ◽  
Overhead Power Transmission Lines ◽  
Transmission And Distribution ◽  
Element Method

The population explosion and development of the national economy are two main causes of increasing the power demand. Besides, the Distributed Generations (DG) connected with the power transmission and distribution networks increase the transmission power on the existing lines as well. In general, for solving this problem, power utilities have to install some new power transmission and distribution lines. However, in some cases, the install of new power lines can strongly effect to the environment and even the economic efficiency is low. Nowadays, the problem considered by scientists, researchers and engineers is how to use efficiently the existing power transmission and distribution lines through calculating and monitoring their current carrying capacity at higher operation temperature, and thus the optimal use of these existing lines will bring higher efficiency to power companies. Generally, the current carrying capacity of power lines is computed based on the calculation of their thermal fields illustrated in IEEE [1], IEC [2] and CIGRE [3]. In this paper, we present the new approach that is the application of the finite element method based on Comsol Multiphysics software for modeling thermal fields of overhead power transmission lines. In particular, we investigate the influence of environmental conditions, such as wind velocity, wind direction, temperature and radiation coefficient on the typical line of ACSR. The comparisons between our numerical solutions and those obtained from IEEE have been shown the high accuracy and applicability of finite element method to compute thermal fields of overhead power transmission lines.

A Maxwell's Second Equation Approach to the Finite Element Method Applied to Magnetic Field Determination

1987 ◽  
Vol 24 (3) ◽  
pp. 259-272 ◽  
Author(s):  
José Roberto Cardoso
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Undergraduate Students ◽  
Engineering Students ◽  
Numerical Procedure ◽  
The Finite Element Method ◽  
Cad Cam ◽  
New Formulation ◽  
The Galerkin Method ◽  
Element Method

The burst of modern computing systems like CAD/CAM has given rise to the use of the finite element method (FEM), which is, at present, the most used numerical procedure in the determination of fields in continuous media. Undergraduate students find difficulty in understanding the usual way of demonstrating FEM by variational analysis or the Galerkin method. This paper introduces a new formulation of FEM, based on a direct application of Maxwell's second equation, which can be easily understood by undergraduate engineering students.

scholarly journals Finite Element Analysis of Square Aquifers Containing Pumped Wells and Comparison with Finite Difference Method

1983 ◽  
Vol 14 (2) ◽  
pp. 85-92 ◽  
Author(s):  
Tilahun Aberra
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Finite Difference ◽  
Discrete Time ◽  
Surface Element ◽  
Dimensionless Time ◽  
The Finite Element Method ◽  
Element Analysis ◽  
Wide Range ◽  
Element Method

The numerical solution of the behaviour of discrete time steps in digital computer analysis of square aquifers containing pumped wells is examined by using the finite element method with a 4 node linear quadrilateral isoparametric surface element. A wide range of time steps are used in the computation. The calculations show that discrete time steps can cause errors and oscillations in the calculations particularly when wells start and stop pumping. Comparison with known results obtained by theoretical and finite difference procedures has been considered. The main objective of this paper is to demonstrate comparison of the finite element and finite difference simulation results over a regular linear 4 node quadrilateral mesh suitable to represent the two numerical schemes with a marked similarity. The dimensionless time drawdown results of the finite element method agreed well with the finite difference and analytical results for small time increment. However, for large time increments, there are from slight to significant oscillations in the results and notable discrepancies are observed in the solutions of the two numerical methods.

Comparing Computational and Experimental Failure of Composites Using XFEM

2016 ◽  
Author(s):  
Andrew W. Hulton ◽  
Paul V. Cavallaro
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Composite Materials ◽  
Composite Structures ◽  
Experimental Testing ◽  
Composite Cylinder ◽  
Lateral Compression ◽  
Flat Plates ◽  
Wide Range ◽  
Element Method

Fiber reinforced polymer (FRP) composites have been used as a substitute for more conventional materials in a wide range of applications, including in the aerospace, defense, and auto industries. Due to the widespread availability of measurement techniques, experimental testing of composite materials has outpaced the computational modeling ability of such complicated materials. With advancements in computational physics-based modeling (PBM) such as the finite element method (FEM), strides can be made to reduce the efforts required in building and testing future composite structures. In this work, the extended finite element method (XFEM) is implemented to model fracture of composite materials under quasistatic loading. XFEM is applied to a three-dimensional (3D) computational model of a carbon fiber/epoxy composite cylinder, in half symmetry, that is subjected to lateral compression between two flat plates. Independent material properties are instituted for each composite layer, depending on individual layer orientation. The crack path produced by the analytical results is compared to experimental testing of lateral compression of a composite cylinder. Fracture site initiation and growth path are consistent in both the experimental and computational results.

scholarly journals Finite element method for stress and strain analysis of FGM hollow cylinder under effect of temperature profiles and inhomogeneity parameter

2021 ◽  
Vol 10 (1) ◽  
pp. 477-487
Author(s):  
Dinkar Sharma ◽  
Ramandeep Kaur ◽  
Munish Sandhir ◽  
Honey Sharma
Keyword(s):  
Differential Equation ◽  
Finite Element Method ◽  
Finite Element ◽  
Hollow Cylinder ◽  
Functionally Graded ◽  
Stress And Strain ◽  
Temperature Profiles ◽  
Wide Range ◽  
Inhomogeneity Parameter ◽  
Element Method

Abstract This study represents a numerical analysis of stress and strain in the functionally graded material (FGM) hollow cylinder subjected to two different temperature profiles and inhomogeneity parameter. The thermo-mechanical properties of a cylinder are assumed to vary continuously as power law function along the radial coordinate of a cylinder. Based on equilibrium equation, Hooke's law, stress-strain relationship in the cylinders, and other theories from mechanics second order differential equation is obtained that represents the thermoelastic field in hollow FGM cylinder. To find a numerical solution of governing differential equation, the finite element method (FEM) with standard discretization approach is used. The analysis of numerical results reveals that stress and strain in the FGM cylinder are significantly depend upon variation made in temperature profile and inhomogeneity parameter n. The results show good agreement with results available in the literature. It is shown that thermoelastic characteristics of the FGM cylinder are controlled by controlling the value of the above discussed parameters. Moreover, these results are very useful in various fields of engineering and science as FGM cylinders have a wide range of applications in these fields.

scholarly journals Stability Charts for Pseudostatic Stability Analysis of 3D Homogeneous Soil Slopes Using Strength Reduction Finite Element Method

2019 ◽  
Vol 2019 ◽  
pp. 1-18 ◽  
Author(s):  
Chaowei Sun ◽  
Junrui Chai ◽  
Bin Ma ◽  
Tao Luo ◽  
Ying Gao ◽  
...  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Stability Analysis ◽  
Slope Failure ◽  
Strength Reduction ◽  
Seismic Load ◽  
Wide Range ◽  
Soil Slopes ◽  
Homogeneous Soil ◽  
Element Method

This paper uses the modified strength reduction finite element method to propose stability charts for pseudostatic stability analysis of three-dimensional (3D) homogeneous soil slopes subjected to seismic excitation. These charts are developed in a wide range of input parameters for purely cohesive slopes and cohesive-frictional slopes, respectively. Effect of the horizontal seismic load is approximately considered using the quasistatic approach. The stability charts allow to determine the factor of safety without any iterative procedure and identify the corresponding critical slope failure mechanism. A slope example is employed to illustrate the application and reliability of these stability charts.

Comparison of Bending Stress of a Helical Gear for Different Materials and Modules Using AGMA Standards in FEA

2013 ◽  
Vol 376 ◽  
pp. 423-427 ◽  
Author(s):  
S. Prabhakaran ◽  
S. Ramachandran
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Power Transmission ◽  
Three Dimensional ◽  
Element Model ◽  
Element Analysis ◽  
Helical Gears ◽  
Dimensional Finite Element ◽  
Three Dimensional Finite Element ◽  
Element Method

Gearing is one of the most critical components in mechanical power transmission systems.. This paper explains about the comparison of the geometry of Helical gears for two different modules by modeling and mathematical equations, load distribution at various positions of the contact line and the stress analysis of Helical gears using three-dimensional finite element method. The bending stresses were examined using three-dimensional finite element model.. These stresses of different modules obtained from the finite element analysis were compared and the considerable reduction of weight occurred was found and also the values are compared with the theoretical values. Both results agree very well. This indicates that the finite element method model is accurate.

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