A minimal order model from zero to high frequencies and its fast generation for finite-element based 3-d electromagnetic analysis

2012 ◽  
Author(s):  
Feng Sheng ◽  
Dan Jiao
Keyword(s):  
Finite Element ◽  
Electromagnetic Analysis ◽  
Minimal Order ◽  
Order Model ◽  
High Frequencies

A Minimal Order Model From Zero to High Frequencies for Finite-Element Based Analysis of General 3-D Electromagnetic Problems

2013 ◽  
Author(s):  
Feng Sheng ◽  
Dan Jiao
Keyword(s):  
Finite Element ◽  
Low Frequency ◽  
Electromagnetic Analysis ◽  
Reduced Order Models ◽  
Minimal Order ◽  
Order Model ◽  
Package Design ◽  
High Frequencies ◽  
Reduced Order ◽  
Right Hand

Modern integrated circuits (IC) and package design has scaled into the deep submicron regime and the nanometer regime. Fast and broadband frequency-domain electromagnetic analysis has become increasingly important. The large problem size encountered in the analysis of ICs and packages is a major challenge especially for a finite element method (FEM) based electromagnetic analysis. To reduce the computational cost for large-scale electromagnetic analysis, model order reduction (MOR) methods have been developed to preprocess the huge linear system into reduced order models. However, in order to meet the modeling and simulation challenges arising from the IC and package design, existing MOR methods still have to overcome the following shortcomings. First, many existing MOR methods lack a closed-form error bound. Given an accuracy requirement, the model generated from existing methods may not be compact enough. Second, most of the existing reduced order models depend on frequency and right hand side. They lose efficiency when analyzing frequency-dependent problems with a large number of right hand sides. Last but not least, many existing MOR methods suffer from low frequency breakdown problem. Additional models have to be built if low frequency solutions, including DC solution, are required. This paper proposes a minimal order model for any prescribed accuracy for the finite element based solution of general 3-D problems having arbitrary lossless/lossy structures and inhomogeneous materials. This model entails no theoretical approximations. It is frequency and right hand side independent, and hence can be employed for both fast frequency and right hand side sweep. Moreover, the model does not suffer from low-frequency breakdown and is accurate from zero to high frequencies. To facilitate the application of such a minimal order model, we have also developed an efficient algorithm to generate this model. Numerical experiments have demonstrated the accuracy and efficiency of the proposed method. In addition to frequency-domain analysis, the proposed model can also be used for fast time-domain analysis.

Hybrid Reduced Model of Rotor

2013 ◽  
Vol 60 (3) ◽  
pp. 319-333
Author(s):  
Rafał Hein ◽  
Cezary Orlikowski
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Hybrid Model ◽  
Rotor System ◽  
Reduced Model ◽  
Order Model ◽  
Gyroscopic Effect ◽  
Reduced Models ◽  
Rigid Finite Element Method ◽  
Low Order

Abstract In the paper, the authors describe the method of reduction of a model of rotor system. The proposed approach makes it possible to obtain a low order model including e.g. non-proportional damping or the gyroscopic effect. This method is illustrated using an example of a rotor system. First, a model of the system is built without gyroscopic and damping effects by using the rigid finite element method. Next, this model is reduced. Finally, two identical, low order, reduced models in two perpendicular planes are coupled together by means of gyroscopic and damping interaction to form one model of the system. Thus a hybrid model is obtained. The advantage of the presented method is that the number of gyroscopic and damping interactions does not affect the model range

Design of an Induction Glass Melting Furnace by Means of Mathematical Modelling Using the Finite Element Method

2007 ◽  
Vol 553 ◽  
pp. 124-129 ◽  
Author(s):  
Isaac Arellano ◽  
Gabriel Plascencia ◽  
Elías Carrillo ◽  
Miguel A. Barrón ◽  
Adolfo Sánchez ◽  
...  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Glass Melting ◽  
Melting Furnace ◽  
The Finite Element Method ◽  
Glass Melting Furnace ◽  
High Frequencies ◽  
Harmful Emissions ◽  
The Mathematical Model ◽  
Element Method

In this paper we propose the design of a novel induction furnace for glass melting. The design is based on a mathematical analysis and performed numerically by means of the Finite Element Method. Several induction coils configurations were tested. The results from the mathematical model show that it is possible to melt glass in a furnace whose hearth is no larger than half a metre by using axial induction coils and high frequencies. This furnace configuration may result in increased glass melting rates along with the elimination of harmful emissions.

Intentional Mistuning With Predominant Aerodynamic Effects

2018 ◽  
Author(s):  
Carlos Martel ◽  
José J. Sánchez
Keyword(s):  
Finite Element ◽  
Traveling Waves ◽  
Element Model ◽  
Simple Expression ◽  
Reduced Order Model ◽  
Action Mechanism ◽  
Aerodynamic Forces ◽  
Order Model ◽  
Reduced Order ◽  
Random Mistuning

Intentional mistuning is a well known procedure to decrease the uncontrolled vibration amplification effects of the inherent random mistuning and to reduce the sensitivity to it. The idea is to introduce an intentional mistuning pattern that is small but much larger that the existing random mistuning. The frequency of adjacent blades is moved apart by the intentional mistuning, reducing the effect of the blade-to-blade coupling and thus the effect of the random mistuning. The situation considered in this work is more complicated because the main source for the blade damping is the effect of the aerodynamic forces (as it happens in a blisk for a family of blade dominated modes with very similar frequencies). In this case the damping is clearly defined for the tuned traveling waves but not for each blade. The problem is analyzed using the Asymptotic Mistuning Model methodology. A reduced order model is derived that allows us to understand the action mechanism of the intentional mistuning, and gives a simple expression for the estimation of its beneficial effect. The results from the reduced model are compared with those from a finite element model of a more realistic rotor under different forcing conditions.

Application of the free-mesh finite element method to electromagnetic analysis

1999 ◽  
Vol 121-122 ◽  
pp. 664
Author(s):  
S. Ido ◽  
M. Kawashima ◽  
R. Hirose ◽  
H. Shoji ◽  
M. Kashiwagi
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Electromagnetic Analysis ◽  
Element Method

Finite element electromagnetic analysis of the jet error field correction coils

2002 ◽  
Vol 63-64 ◽  
pp. 455-460 ◽  
Author(s):  
A Masiello ◽  
M Bigi ◽  
R Buttery ◽  
V Riccardo
Keyword(s):  
Finite Element ◽  
Electromagnetic Analysis ◽  
Error Field

Use of the full-wave Finite Element Method for the numerical electromagnetic analysis of LEMP and its coupling to overhead lines

2013 ◽  
Vol 94 ◽  
pp. 24-29 ◽  
Author(s):  
Fabio Napolitano ◽  
Alberto Borghetti ◽  
Carlo Alberto Nucci ◽  
Farhad Rachidi ◽  
Mario Paolone
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Electromagnetic Analysis ◽  
Overhead Lines ◽  
Full Wave ◽  
Element Method

GPU accelerated finite-element computation for electromagnetic analysis

2014 ◽  
Vol 56 (2) ◽  
pp. 39-62 ◽  
Author(s):  
Huan-Ting Meng ◽  
Bao-Lin Nie ◽  
Steven Wong ◽  
Charles Macon ◽  
Jian-Ming Jin
Keyword(s):  
Finite Element ◽  
Electromagnetic Analysis ◽  
Element Computation ◽  
Finite Element Computation

scholarly journals Analysis of Very Fast Transients Using Black Box Macromodels in ATP-EMTP

Energies ◽  
2020 ◽  
Vol 13 (3) ◽  
pp. 698
Author(s):  
Jonathan James ◽  
Maurizio Albano ◽  
David Clark ◽  
Dongsheng Guo ◽  
Abderrahmane (Manu) Haddad
Keyword(s):  
Finite Element ◽  
Electromagnetic Transients ◽  
Element Analysis ◽  
Simple Method ◽  
Model Order ◽  
High Frequencies ◽  
Transient Simulations ◽  
Improved Stability ◽  
Fast Transients ◽  
Gas Insulated Substation

Modelling for very fast transients (VFTs) requires good knowledge of the behaviour of gas insulated substation (GIS) components when subjected to high frequencies. Modelling usually takes the form of circuit-based insulation coordination type studies, in an effort to determine the maximum overvoltages and waveshapes present around the system. At very high frequencies, standard transmission line modelling assumptions may not be valid. Therefore, the approach to modelling of these transients must be re-evaluated. In this work, the high frequency finite element analysis (FEA) was used to enhance circuit-based models, allowing direct computation of parameters from geometric and material characteristics. Equivalent models that replicate a finite element model’s frequency response for bus-spacer and 90° elbow components were incorporated in alternative transients program-electromagnetic transients program (ATP-EMTP) using a pole-residue equivalent circuit derived following rational fitting using the well-established and robust method of vector fitting (VF). A large model order is often required to represent this frequency dependent behaviour through admittance matrices, leading to increased computational burden. Moreover, while highly accurate models can be derived, the data extracted from finite element solutions can be non-passive, leading to instability when included in time domain simulations. A simple method of improved stability for FEA derived responses along with a method for identification of a minimum required model order for stability of transient simulations is proposed.

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