• Title/Summary/Keyword: Maxwell Equations

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AC Loss Calculation in High Temperature Superconductors Using Slab model (Slab모델을 이용한 HTS AC 손실의 계산)

  • 최세용;주진호;류경우;나완수
    • Proceedings of the Korea Institute of Applied Superconductivity and Cryogenics Conference
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    • 2001.02a
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    • pp.102-103
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    • 2001
  • In this paper we calculate the AC Loss in the superconducting slab carrying ac transport current. Magnetic diffusion equation for computation of the electric field and current distribution are based on Maxwell's equations and non-linear constitutive equation. The E-J characteristics of superconductor are applied to computation. We will present the result of the high-temperature superconductor case comparison with the slab of low temperature superconductor.

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Calculating Mutual Impedance between Power-Line and Communication-Line with Earth Return Current (대지귀로 전류에 의한 전력선과 통신선의 상호임피던스 해석)

  • Lim, Yong-Hun;Hyun, Duck-Hwa
    • Proceedings of the KIEE Conference
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    • 2003.11a
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    • pp.269-271
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    • 2003
  • A method for calculation of mutual inductance from the parallel power-line and earth conduct to communication-line is studied in the paper. The solution for the electromagnetic field produced by an overhead power-line is derived using Maxwell's equations and treating the as a boundary value problem. Total mutual inductance from direct current and image current to communication-line is used Carson's formula for infinitely long parallel conductors.

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Calculation of Surface Charge Density on Current Carrying Conductors (전류가 흐르는 도체의 표면전하밀도 계산)

  • Lee, Bok-Yong;Lee, Joon-Ho;Lee, Ki-Sik
    • Proceedings of the KIEE Conference
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    • 1995.07a
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    • pp.89-91
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    • 1995
  • This paper deals with calculation of surface charge density on current carrying conductors by FEM. The proposed algorithm is formulated by equation of continutity in conductor region and maxwell's equations outside, respectively, Surface charge density is calculated by electric scalar potential and boundary condition for electrostatic fields.

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Analysis of Starting Torque and Speed Characteristics for Squirrel Cage Induction Motor According to Material Properties of Rotor Slot

  • Kim, Young Sun
    • Transactions on Electrical and Electronic Materials
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    • v.16 no.6
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    • pp.328-333
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    • 2015
  • Squirrel cage induction motors have mostly been used for their small capacity because the starting torque is smaller than the starting current during start-up. However, as more and more mid-to-large capacity motors are developed, the demands for improvements in performance characteristics have also increased. In this study, the starting characteristics of squirrel cage induction motors were analyzed based on the rotor materials and shapes using a finite element method to provide design data suitable for different use purposes and capacities. We further completed analysis by combining electromagnetic equations deduced from Maxwell’s equations and the circuit equations of stators and rotors. A moving coordinator was introduced to rotate the rotor during the analysis, and the torques calculated via the finite element method were combined with the motion equations to calculate the position and angular velocity of the rotors at the next time, thereby analyzing the transient characteristics. The analysis results of the transient characteristics were applied to a 3-phase 4-pole 5-hp induction motor to calculate the starting torque, speed, and rotation angle of the rotors. In the reference model, the materials and shapes of the rotor slot were changed to copper and silicon copper and a deep slot, shallow slot, and long-neck-shaped slot.

Some aspects of load-rate sensitivity in visco-elastic microplane material model

  • Kozar, Ivica;Ozbolt, Josko
    • Computers and Concrete
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    • v.7 no.4
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    • pp.317-329
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    • 2010
  • The paper describes localization of deformation in a bar under tensile loading. The material of the bar is considered as non-linear viscous elastic and the bar consists of two symmetric halves. It is assumed that the model represents behavior of the quasi-brittle viscous material under uniaxial tension with different loading rates. Besides that, the bar could represent uniaxial stress-strain law on a single plane of a microplane material model. Non-linear material property is taken from the microplane material model and it is coupled with the viscous damper producing non-linear Maxwell material model. Mathematically, the problem is described with a system of two partial differential equations with a non-linear algebraic constraint. In order to obtain solution, the system of differential algebraic equations is transformed into a system of three partial differential equations. System is subjected to loadings of different rate and it is shown that localization occurs only for high loading rates. Mathematically, in such a case two solutions are possible: one without the localization (unstable) and one with the localization (stable one). Furthermore, mass is added to the bar and in that case the problem is described with a system of four differential equations. It is demonstrated that for high enough loading rates, it is the added mass that dominates the response, in contrast to the viscous and elastic material parameters that dominated in the case without mass. This is demonstrated by several numerical examples.

Multiscale method and pseudospectral simulations for linear viscoelastic incompressible flows

  • Zhang, Ling;Ouyang, Jie
    • Interaction and multiscale mechanics
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    • v.5 no.1
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    • pp.27-40
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    • 2012
  • The two-dimensional incompressible flow of a linear viscoelastic fluid we considered in this research has rapidly oscillating initial conditions which contain both the large scale and small scale information. In order to grasp this double-scale phenomenon of the complex flow, a multiscale analysis method is developed based on the mathematical homogenization theory. For the incompressible flow of a linear viscoelastic Maxwell fluid, a well-posed multiscale system, including averaged equations and cell problems, is derived by employing the appropriate multiple scale asymptotic expansions to approximate the velocity, pressure and stress fields. And then, this multiscale system is solved numerically using the pseudospectral algorithm based on a time-splitting semi-implicit influence matrix method. The comparisons between the multiscale solutions and the direct numerical simulations demonstrate that the multiscale model not only captures large scale features accurately, but also reflects kinetic interactions between the large and small scale of the incompressible flow of a linear viscoelastic fluid.

ADJOINT SYSTEM FOR A MAGNETO-CONVECTIVE FLOW IN AN ACTIVE MUSHY LAYER

  • Bhatta, Dambaru;Riahi, Daniel N.
    • Journal of applied mathematics & informatics
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    • v.29 no.5_6
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    • pp.1269-1283
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    • 2011
  • Here we consider magneto-convection in a mushy layer which is formed during solidification of binary alloys. The mushy layer is treated as an active porous media with variable permeability. The equations governing the layer are conservation of mass, conservation of heat, conservation of solute, magnetic induction equation, momentum equation governed by the Darcy's law and Maxwell's equations for the magnetic field. To study the second order effects on the flow without solving the second order system, we need to obtain the adjoint system for the flow. This motivates the authors we derive the adjoint system analytically for the mushy layer case. Numerical results of the adjoint system are presented for passive and active mushy layers at the onset of the motion using a set of parameters experimentalists use.

A Study on the Electromagnetic wave properties of microstrip antenna using finite difference time domain method (FDTD법을 이용한 마이크로스트립 안테나의 전자파 특성에 관한 연구)

  • 홍용인;정명덕;홍성일;이흥기
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.2 no.4
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    • pp.653-660
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    • 1998
  • The purpose of this paper is to analyze the electromagnetic field characteristics of microstrip array antenna with the FDTD(finite difference-time domain method). Finite difference equations of Maxwell's equations are defined in rectangular coordinate systems. To simulate the unbounded problem like a free space, the Mur's absorbing boundary condition is also used. After modeling the microstrip array antenna with the grid structure, the transient response of the field distribution is depicted in the time domain.

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A study on AR, HR coating simulations for the high power laser diode (고출력 laser diode를 위한 AR, HR coating simulation에 관한 연구)

  • 류정선;윤영섭
    • Electrical & Electronic Materials
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    • v.9 no.5
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    • pp.498-505
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    • 1996
  • In the present work, we have developed the simulator to optimize the process conditions of the AR(antireflection) and HR(high-reflection) coatings for the high power laser diode. The simulator can run on the PC. After making the simple optical model, we establish the Maxwell equations for the model by the operator conversion. By using the Mathematica, we derive a matrix for the multilayer system by applying the equations to the model and optimize the AR and HR coating process conditions by obtaining the reflection rate from the matrix. We also prove the validity of the simulator by comparing the simulation with the characteristics of the laser diode which is AR and HR coated according to the optimized conditions.

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A study on the electromagnetic wave properties of the leaky coaxial cable with the finite difference time domain (FDTD) algorithm (유한차분 시간영역 알고리듬을 이용한 누설 동축 케이블의 전자파 특성에 관한 연구)

  • 홍용인;김정기
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.21 no.11
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    • pp.2954-2965
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    • 1996
  • In this paper, the electromagnetic field characteristics of leaky caxial cable are anlyzed by using the finite difference-time domain(FDTD) technique. Finite difference equations of Maxwell's equations are definedin cylindrical coordinate systems. To simulate the open boundary problem like a free space, the Mur's Absorbing Boundary condition(Mur-ABC) is also used. After modeling the leaky coaxial cable with the three dimensional grid structure, the transient response of the field distribution and the current distribution, the field pattern, the coupling effect are depicted in the time domain.

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