• Title/Summary/Keyword: 비선형 k-모델

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A Numerical Study on the Interaction of Ulleung Warm Eddy with Topography and Lateral Boundary (울릉 난수성 Eddy와 해저지형과의 상호작용에 관한 수치모델 연구)

  • Lim, Keun-Sik;Kim, Kuh
    • 한국해양학회지
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    • v.30 no.6
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    • pp.565-583
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    • 1995
  • We have used a nonlinear quasi-geostrophic model to study effects of lateral friction and bottom topography on the motion of warm eddies. The two empirical orthogonal functions of the stream function, accounting for the vertical structure, represent the barotropic and first baroclinic dynamic modes. This model is integrated 360 days on a 1000 km ${\times}$ 1000 km domain with a resolution of 10 km ${\times}$ 10 km including both the thermocline and idealized topography of the East Sea. Prescribed inflow through the Korea Strait is compensated by outflow through the Tsugaru Strait. The balance between the nonlinear advection term and the planetary ${\beta}$-effect tends to make northward movement of warm eddy over a flat bottom. The motion of a warm eddy over a sloping topography can be dominated by the nonlinear advection, while nonlinearity plays a secondary role over a flat topography. For eddies dispersing over topography, the nonlinear tendency is a function of time. For a strong warm eddy, northward propagation can occur. For intermediate strength of eddies one might expect a balance between the nonlinear term and the topographic ${\beta}$-effect. As nonlinearity decreases with eddy dispersion, southward motion along the slope may occur by such as a topographic Rossby wave. Our numerical simulations have confirmed the importance of lateral friction on eddy motions, in such a way that the northward penetration of the warm eddy increases drastically by the decrease of the lateral friction. The northward motion of warm eddy can be prevented by reducing the Reynolds number sufficiently. We have also demonstrated the crucial role of topographic effects in the eddy motion process.

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Design of Robust Depth Controller of Autonomous Underwater Vehicles under the Stern Angle Constraints (심도각 범위를 고려한 무인 잠수정의 강인 심도 제어기 설계)

  • Jun, Sung-Woo;Kim, Do-Wan;Lee, Ho-Jae
    • Proceedings of the KIEE Conference
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    • 2011.07a
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    • pp.1944-1945
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    • 2011
  • 본 논문은 심도각 범위를 고려한 무인 잠수정(autonomous underwater vehicles: AUVs)의 타카키-수게노 (Takagi-Sugeno: T-S) 퍼지 모델 기반 강인 심도 제어기의 설계 기법을 제안한다. 무인 잠수정의 비선형 시스템은 Sector nonlinearity 기법을 이용하여 T-S 퍼지 시스템으로 모델링된다. 리아푸노프(Lyapunov) 함수를 이용하여 무인 잠수정의 성능을 보장하는 선형 행렬 부등식(Linear matrix inequality: LMI) 형태의 강인 제어기 설계 조건은 유도된다. 또한 무인 잠수정의 심도각 범위를 고려하여 입력 및 출력에 제한 조건을 포함한다. 모의 실험을 통해 제안된 기법의 심도 제어 성능을 검증한다.

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Numerical Simulation of a Conical Diffuser Using the Nonlinear $k-{\epsilon}$ Turbulence Model (비선형 $k-{\epsilon}$ 난류모델에 의한 원추형 디퓨저 유동해석)

  • Lee, Y.W.
    • Journal of Power System Engineering
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    • v.2 no.1
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    • pp.31-38
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    • 1998
  • A diffuser, an important equipment to change kinetic energy into pressure energy, has been studied for a long time. Though experimental and theoretical researches have been done, the understanding of energy transfer and detailed mechanism of energy dissipation is unclear. As far as numerical prediction of diffuser flows are concerned, various numerical studies have also been done. On the contrary, many turbulence models have constraint to the applicability of diffuser-like complex flows, because of anisotropy of turbulence near the wall and of local nonequilibrium induced by an adverse pressure gradient. The existing $k-{\epsilon}$ turbulence models have some problems in the case of being applied to complex turbulent flows. The purpose of this paper is to test the applicability of the nonlinear $k-{\epsilon}$ model concerning diffuser-like flows with expansion and streamline curvature. The results show that the nonlinear $k-{\epsilon}$ turbulence model predicted well the coefficient of pressure, velocity profiles and turbulent kinetic energy distributions, however the shear stress prediction was failed.

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Numerical Simulation of Dynamic Soil-pile Interaction for Dry Condition Observed in Centrifuge Test (원심모형실험에서 관측된 건조 지반-말뚝 동적 상호작용의 수치 모델링)

  • Kown, Sun-Yong;Kim, Seok-Jung;Yoo, Min-Taek
    • Journal of the Korean Geotechnical Society
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    • v.32 no.4
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    • pp.5-14
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    • 2016
  • Numerical simulation of dynamic soil-pile-structure interaction embedded in a dry sand was carried out. 3D model of the dynamic centrifuge model tests was formulated in a time domain to consider nonlinear behavior of soil using the finite difference method program, FLAC3D. As a modeling methodology, Mohr-Coulomb criteria was adopted as soil constitutive model. Soil nonlinearity was considered by adopting the hysteretic damping model, and an interface model which can simulate separation and slip between soil and pile was adopted. Simplified continuum modeling (Kim et al., 2012) was used as boundary condition to reduce analysis time. Calibration process for numerical modeling results and test results was performed through the parametric study. Verification process was then performed by comparing numerical modeling results with another test results. Based on the calibration and validation procedure, it is identified that proposed modeling method can properly simulate dynamic behavior of soil-pile system in dry condition.

Nonlinear Dispersion Model of Sea Waves in the Coastal Zone (연안역에서의 비선형 파낭 분산모형)

  • Pelinovsky, Efim N.;Stepanyants, Yu.;Talipova, Tatiana
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.5 no.4
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    • pp.307-317
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    • 1993
  • The problem of sea wave transformation in the coastal zone taking into account effects of nonlinearity and disperison has been studied. Mathematical model for description of regular wave transformation is based on the method of nonlinear ray theory. The equations for rays and wave field have been produced. Nonlinear wave field is described by the modified Korteweg-de Vries equation. Some analytical solutions of this equation are obtained. Caustic transformation and dissipation effects are included in the mathematical model. Numerical algorithm of solution of the Korteweg-de Vries equation and its stability criterion are described. Results of nonlinear transformation of sea waves in the coastal zone are demonstrated.

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Harmonic Signal Linearization of Nonlinear Power Amplifier Using Digital Predistortion for Multiband Wireless Transmitter (다중 대역 송신을 위한 디지털 사전 왜곡 기법을 이용한 비선형 전력 증폭기의 고조파 신호 선형화)

  • Oh, Kyung-Tae;Ku, Hyun-Chul;Kim, Dong-Su;Hahn, Cheol-Koo
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.19 no.12
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    • pp.1339-1349
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    • 2008
  • In this paper, a nonlinear relationship between an input complex envelope and an output complex envelope of m-th harmonic zone is theoretically analyzed, and AM/$AM_m$ and AM/$PM_m$ are defined. A scheme to extract these characteristics from measured in-phase and quadrature-phase data is suggested. The proposed analysis is verified with a fundamental-fundamental and fundamental-third harmonic measurements for a InGaP power amplifier(PA). Based on the harmonic-band nonlinear analysis and extraction scheme, a new technique to send a signal in m-th harmonic band with a harmonic signal Linearization Digital Predistortion(DPD) scheme is presented. A numerical analysis and a Look-Up Table(LUT) based DPD algorithms to linearize output signal on m-th harmonic zone are developed. For a 16- and a 64-QAM input signals, a DPD for third harmonic signal linearization is implemented, and output spectrum and signal constellation are measured. The wholly distorted signals are linearized, and thus the measured Error Vector Magnitudes (EVM) are 6.4 % and 6.5 % respectively. The results show that a proposed scheme linearizes a nonlinearly distorted harmonic band signals. The proposed nonlinear analysis and predistortion scheme can be applied to multiband transmitter in next generation software defined radio(SDR)/cognitive radio(CR) wireless system.

Design and Analysis of Dynamic Positioning System Using a Nonlinear Robust Observer

  • Myung-Hyun Kim
    • Journal of Ocean Engineering and Technology
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    • v.16 no.4
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    • pp.54-60
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    • 2002
  • 본 연구는 슬라이딩 모드개념을 이용한 비선형 견실 상태 추정기의 선박 위치제어시스템에 대한 적용에 관한 연구이다. 개발된 상태추정기는 제어기 설계에 필요한 동적 모델에 있어서 고려되지 않은 비선형성과 불확실성 및 외란이 존재하더라도 견실히 상태추정을 수행할 수 있는 장점을 가지고 있다. 또한 선박의 속도 및 유체력으로 인한 외란의 추정이 가능하며, 파랑으로 인한 고주파 운동응답을 여과시킴으로 불필요한 작동기의 동작과 과도한 연료손실을 방지할 수 있다. 특히 상태 추정기에 불연속 함수를 도입함으로 비선형성, 외란 및 불확실성에 대해 강인한 특성을 가지고 있다. 제안된 상태추정기에 기초하여 Observer backstepping 방법을 이용한 위치 제어기가 설계되었으며, 제어시스템의 안정성을 Lyapunov 법을 이용하여 검증하였다. 일련의 수치 시뮬레이션을 수행함으로서 제안된 상태추정기 및 제어기의 선박위치제어시스템으로서의 성능을 예증하였다.

Comparison of PID Controllers by Using Linear and Nonlinear Models for Control of Mobile Robot Driving System (모바일 로봇 구동 시스템 제어를 위한 선형 및 비선형 모델 기반 PID 제어기 성능 비교)

  • Jang, Tae Ho;Kim, Youngshik;Kim, Hyeontae
    • Journal of the Korean Society for Precision Engineering
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    • v.33 no.3
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    • pp.183-190
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    • 2016
  • In this study, we conduct linear and nonlinear modeling of the DC motor driving system of a wheeled mobile robot, which is a nonlinear system involving dead zone, friction, and saturation. The DC motor driving system consists of a DC motor, a wheel, and gears. A linear DC motor driving system is modeled using a steady-state response and parameter measurements. A nonlinear DC motor driving model is identified with the use of the Hammerstein-Wiener method. By using these models, PID controllers for the DC motor system are then established. Each PID controller is applied as a low-level controller in order to achieve posture stabilization control for the real mobile robot. We also compare the performance of the proposed PID controllers in posture stabilization experiments by using several different final robot postures.

A Relaxed Stabilization Condition for Discrete T-S Fuzzy Model under Imperfect Premise Matching (불완전한 전반부 정합 하에서의 이산 T-S 퍼지 모델에 대한 완화된 안정화 조건)

  • Lim, Hyeon Jun;Joo, Young Hoon;Park, Jin Bae
    • Journal of the Korean Institute of Intelligent Systems
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    • v.27 no.1
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    • pp.59-64
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    • 2017
  • In this paper, a controller for discrete Takagi-Sugeno(T-S) fuzzy model under imperfect premise matching is proposed. Most of previous papers have obtained the stabilization condition using common quadratic Lyapunov function. However, the stabilization condition may be conservative due to the typical disadvantage of the common quadratic Lyapunov function. Hence, in order to solve this problem, we propose the stabilization condition of discrete T-S fuzzy model using fuzzy Lyapunov function. Finally, the proposed approach is verified by the simulation experiments.

Fracture Behavior of Dowel Joint of Concrete Slab Track (콘크리트궤도 슬래브의 다웰 연결부 파괴 거동)

  • Kwon, Kusung;Jang, Seung Yup;Chung, Wonseok
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.33 no.5
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    • pp.2125-2133
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    • 2013
  • Recently, an interest on joint behavior between adjacent concrete slab tracks has increasing due to large application of such track system. Dowel bars are widely used to improve load transfer capacity across the joints. Dowel bars reduce the deflections and stresses by transferring the load between the slabs. This study proposes the lumped shear spring model to efficiently model dowel joints of adjacent slabs. This model includes bearing stiffness between dowel bar and concrete as well as dowel gap. Strength of the proposed spring model is evaluated based on Concrete Capacity Design method under the assumption of shear failure mode in the joints. Experiments are also performed up to failure to evaluate the accuracy of the proposed model. It has been observed that the proposed model is able to predict initial nonlinearity due to dowel gap, and capture material nonlinearity of the test slabs. Thus, it is recommended that the proposed model can be effectively applied to the dowel joints of concrete slab track.