• Title/Summary/Keyword: Quadratic transfer function

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Perpendicular Spin-transfer Torque in Asymmetric Magnetic Tunnel Junctions: Material Parameter Dependence (비대칭 자기터널접합에서의 수직 스핀 전달 토크: 물질 변수에 대한 의존성)

  • Han, Jae-Ho;Lee, Hyun-Woo
    • Journal of the Korean Magnetics Society
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    • v.21 no.2
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    • pp.52-55
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    • 2011
  • Spin-transfer torque is a useful tool to control the magnetic state in nanostructures. In magnetic tunnel junctions, the spin-transfer torque has two components, the in-plane spin torque and the perpendicular spin torque. While properties of the in-plane spin-transfer torque are relatively well understood, properties of the perpendicular spin-transfer torque still remain controversial. A recent experiment demonstrated that in asymmetric magnetic tunnel junctions, the bias voltage dependence of the perpendicular spin-transfer torque contains both linear and quadratic terms in the bias. However it still remains unexplored how the bias voltage dependence changes as a function of material parameters. In this paper, we systematically investigate the perpendicular spin-transfer torque in asymmetric magnetic tunnel junction by varying spin splitting energy, work function difference, and Fermi energy of the ferromagnetic metal leads.

A Far Field Solution of the Slowly Varying Drift Force on the Offshore Structure in Bichromatic Waves-Three Dimensional Problems

  • Lee, Sang-Moo
    • Journal of Ocean Engineering and Technology
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    • v.24 no.6
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    • pp.1-6
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    • 2010
  • A far field approximate solution of the slowly varying force on a 3 dimensional offshore structure in gravity ocean waves is presented. The first order potential, or at least the far field form of the Kochin function, of each frequency wave is assumed to be known. The momentum flux of the fluid domain is formulated to find the time variant force acting on the floating body in bichromatic waves. The second order difference frequency force is identified and extracted from the time variant force. The final solution is expressed as the circular integration of the product of Kochin functions. The limiting form of the slowly varying force is identical to the mean drift force. It shows that the slowly varying force components caused by the body disturbance potential can be evaluated at the far field.

Total Transfer Capability Based on Optimal Power Flow (최적조류계산을 기초로한 총송전용량 결정)

  • Kim, Kyu-Ho;Song, Kyung-Bin;Rhee, Sang-Bong;Lee, Sang-Keun
    • Proceedings of the KIEE Conference
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    • 2008.07a
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    • pp.570-571
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    • 2008
  • This paper presents a method for the determination of total transfer capability in interconnected power systems, which is based on sequential quadratic programming (SQP). The objective function is the maximization of the interconnected line flow. To calculate TTC the control variables are the active power of the generating units, the voltage magnitude of the generator, transformer tap settings and SVC setting. The state variables are the bus voltage magnitude, the reactive power of the generating unit, line flows and the tie line flow. The method proposed is applied to the modified IEEE 14 buses model system.

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Development of a Nonlinear Near-Wall Model for Turbulent Flow and Heat Transfer (난류유동 및 대류열전달에 대한 비선형 난류모형의 개발)

  • Park, Tae-Seon;Seong, Hyeong-Jin
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.25 no.11
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    • pp.1569-1580
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    • 2001
  • A new nonlinear near-wall turbulence model is developed to predict turbulent flow and heat transfer in strongly nonequilibrium flows. The k-$\varepsilon$-f$\sub$${\mu}$/, model of Park and Sung$\^$(1)/ is extended to a nonlinear formulation. The stress-strain relationship is the thrid-order in the mean velocity gradients. The strain dependent coefficients are obatined from the realizability constraints and the singular behavior at large strains. An improved explicit heat flux model is proposed with the aid of Cayley-Hamilton theorem. This new model includes the quadratic effects of flow deformations. The near-wall asymptotic behavior is incorporated by modifying the f$\sub$λ/ function. The model performance is shown to be satisfactory.

Determination of the Degree of Nonlinearity in the Response of Offshore Structures Using Higher Order Transfer Functions (고차 전이함수를 이용한 해양구조물 거동의 비선형도 결정)

  • 백인열
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.7 no.1
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    • pp.116-125
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    • 1995
  • Higher order nonlinear transfer functions are applied to model the nonlinear responses obtained Inn dynamic analysis of single degree of freedom systems (SDOF) subjected to wave and current loadings. The structural systems are subjected to single harmonic, two wave combination and irregular wave loading. Three different sources of nonlinearities are examined for each of the wave loading condition and it is shown that the nonlinear response appear at the resonance frequencies of the SDOF even when virtually no wave energy exists at those resonance frequencies. Higher order nonlinear transfer functions based on Volterra series representation are used to model the nonlinear responses mainly f3r the flexible systems and clearly shows the degrees of nonlinearity either as quadratic or cubic.

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Shape Optimization of a Trapezoidal Micro-Channel (사다리꼴 미세유로의 형상최적화)

  • Husain, Afzal;Kim, Kwang-Yong
    • Proceedings of the KSME Conference
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    • 2007.05b
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    • pp.2666-2671
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    • 2007
  • This work presents microchannel heat sink shape optimization procedure using Kriging method. Design variables relating to microchannel width, depth and fin width are selected, and thermal resistance has been taken as objective function. Design points are selected through a three-level fractional factorial design of sampling method. Navier-Stokes and energy equations for laminar flow and conjugate heat transfer are solved at these design points using a finite volume solver. Solutions are carefully validated with experimental results. Using the numerically evaluated objective function, a surrogate model (Kriging) is constructed and optimum point is searched by sequential quadratic programming. The process of shape optimization greatly improves the thermal performance of microchannel heat sink under constant pumping power.

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Tolerance Analysis and Optimization for a Lens System of a Mobile Phone Camera (휴대폰용 카메라 렌즈 시스템의 공차최적설계)

  • Jung, Sang-Jin;Choi, Dong-Hoon;Choi, Byung-Lyul;Kim, Ju-Ho
    • Korean Journal of Computational Design and Engineering
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    • v.16 no.6
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    • pp.397-406
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    • 2011
  • Since tolerance allocation in a mobile phone camera manufacturing process greatly affects production cost and reliability of optical performance, a systematic design methodology for allocating optimal tolerances is required. In this study, we proposed the tolerance optimization procedure for determining tolerances that minimize production cost while satisfying the reliability constraints on important optical performance indices. We employed Latin hypercube sampling for evaluating the reliabilities of optical performance and a function-based sequential approximate optimization technique that can reduce computational burden and well handle numerical noise in the tolerance optimization process. Using the suggested tolerance optimization approach, the optimal production cost was decreased by 30.3 % compared to the initial cost while satisfying the two constraints on the reliabilities of optical performance.

On the Properties of $\gamma$-.$\varepsilon$ for $H_\infty$ Control by State Feedback and Computation of the Infimum of $H_\infty$ Norm

  • Tian, Dong;Ohta, Michio
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10b
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    • pp.562-565
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    • 1993
  • It is well known that H$_{\infty}$ control problem involves solving an algebraic Riccati equation which includes a pair of parameters (.gamma., .epsilon.). Focusing on .epsilon. the maximum of .epsilon.. We discuss in this paper about the properties between the H$_{\infty}$ norm of a trnsfer function matrix and the parameters(.gamma., .epsilon.). We can change the algebraic relattion between .gamma. and .epsilon. by the similarity transformation of a considered system and we can find a proper transformation to get a simple quadratic algebraic equation between .gamma. and .epsilon.. This relation provide the H$_{\infty}$ norm of a transfer function.on.

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Shape Optimization of a Micro-Channel Using Kriging Model (크리깅 모델을 이용한 미세유로의 형상최적설계)

  • Husain, Afzal;Kim, Kwang-Yong
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.31 no.9
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    • pp.733-740
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    • 2007
  • Microchannel heat sink shape optimization is performed using Kriging method. Design variables relating to microchannel width, depth and fin width are selected, and thermal resistance has been taken as objective function. Design points are selected through a three-level fractional factorial design of sampling method. Navier-Stokes and energy equations for laminar flow and conjugate heat transfer are solved at these design points using a finite volume solver. Solutions are carefully validated with experimental results. Using the numerically evaluated objective function, a surrogate model (Kriging) is constructed and optimum point is searched by sequential quadratic programming. The process of shape optimization greatly improves the thermal performance of microchannel heat sink under constant pumping power.

A Far Field Solution of the Slowly Varying Drift Force on an Offshore Structure in Bichromatic Waves - Two Dimensional Problems

  • Lee, Sang-Moon
    • Journal of Ocean Engineering and Technology
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    • v.22 no.2
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    • pp.7-12
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    • 2008
  • A far field solution of the slowly varying force on an offshore structure by gravity ocean waves was shown as a function of the reflection and transmission of the body disturbed waves. The solution was obtained from the conservation of the momentum flux, which simply describes various wave forces, while making it unnecessary to compute complicated integration over a control surface. The solution was based on the assumption that the frequency difference of the bichromatic incident waves is small and its second order term is negligible. The final solution is expressed in term of the reflection and transmission waves, i.e. their amplitudes and phase angles. Consequently, it shows that not only the amplitudes but also the phase differences make critical contributions to the slowly varying force. In a limiting case, the slowly varying force solution gives the one of the mean drift force, which is only dependent on the reflection wave amplitude. An approximation is also suggested in a case where only the mean drift force information is available.