• 제목/요약/키워드: Perturbation approximation

검색결과 62건 처리시간 0.026초

전기 임피던스 단층촬영법에서 SPSA를 이용한 영상복원 (SPSA Approach to Image Reconstruction in Electrical Impedance Tomograhpy)

  • 김호찬;부창진;이윤준
    • 조명전기설비학회논문지
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    • 제18권2호
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    • pp.23-28
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    • 2004
  • 전기 임피던스 단층촬영법(electrical impedance tomography, EIT)은 미지의 내부 저항률 분포를 갖는 물체 주위에 특수하게 제작된 전극을 여러 개 배치하고 적절하게 설계된 전류를 주입하여 이에 따른 인가전압을 물체 경계에서 측정한 후 이를 근거로 EIT의 영상복원 알고리즘에서 물체 내부의 미지의 저항률 분포를 재구성하는 기술이다. 전기 임피던스 단층촬영법의 영상복원 과정은 비선형 방정식으로 기술되며, 그 해석적인 해를 구하기가 매우 어려우므로 수치적인 방법으로 근사해를 구한다. 본 논문에서는 EIT 영상복원 방법으로 동시 인자변환 확률적 근사화(simultaneous perturbation stochastic approximation, SPSA) 방법을 제안한다. SPSA 방법을 이용한 EIT 영상복원의 성능을 컴퓨터시뮬레이션을 통해 살펴보고 기존의 mNR 방법에 의해 얻어진 결과와 비교 분석하도록 한다.

경계요소법(境界要素法)을 이용한 중복파(重複波)의 재현(再現) (Simulation of Standing Wave using Boundary Element Method)

  • 오영민;이길성;전인식
    • 대한토목학회논문집
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    • 제14권6호
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    • pp.1445-1451
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    • 1994
  • 해안구조물에 작용하는 설계파압(設計波壓)을 수치적으로 계산하기 위해서는 먼저 쇄파한계(碎波限界)에 가까운 큰 중복파랑을 수치적으로 재현할 필요가 있다. 이를 위해서는 지배방정식(支配方程式)과 비선형항(非線形項)을 포함하는 경계조건을 효과적으로 반영해야 하며 특히, 자유표면(自由表面) 경계조건(境界條件)에서의 속도의 제곱항의 처리가 중요하다. 본 연구에서는 Newton 방법을 이용하여 제곱항을 충실히 반영하므로써 일반적인 셜계파 성향에 거의 상응하는 중복파랑을 재현하였으며 기존의 섭동법(攝動法) 또는 Fourier 전개 기법 및 수리실험 결과와 비교하여 그 정확도를 검토하였다.

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J-선회 조종성능을 고려한 승용차 현가장치의 최적화 기법 (Optimization Technique of Passenger Car Suspension System Considering J-Turn Handling Performances)

  • 이상범;이춘승;임홍재;김민수
    • 대한기계학회논문집A
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    • 제28권3호
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    • pp.267-273
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    • 2004
  • The purpose of this paper is to develop a systematic design method for the suspension system hard points and compliance elements, which have great influence on the handling stability of a vehicle. In this paper, a method to optimize J-turn responses is presented based on the principles of design of experiments, multi-body dynamic analysis and optimum design technique. The design variables associated with the J-turn maneuver are selected through the experimental design sensitivity analysis using the perturbation method. An objective function is defined as an approximate function for the J-turn characteristics using the TSA(Taylor series approximation). The values of the design variables, which make the optimized J-turn characteristics, are obtained using the conjugate gradient method. The result of the J-turn simulation shows that the optimized vehicle has more improved handling stability than the optimized vehicle.

감조하천의 조석전파 특성에 관한 해석적 연구(금강을 중심으로) (Analytical study on the tide propagation characteristics in tidal rivers)

  • 이재형;김경수
    • 물과 미래
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    • 제24권2호
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    • pp.81-95
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    • 1991
  • 본 연구는 조석과 하천류의 상호작용을 살펴보기 위해 지배방정식을 섭동근사댑을 이용하여 해석 해를 구하였다. 또한 여기에 이류항과 비선형 마찰항을 포함 하였다. 하천류와 조석분조들과의 복잡한 상호작용을 각각의 분조와의 상호작용으로 단순화 시키기 위해 조화분석을 실시하였다 조석의 무차원 매개변수, 특히 감쇄율을 각각의 해에 대하여 구하였다. 평가결과 해석해로부터 구한 감쇄율은 조화분석으로부터 구한 측정치보다 낮게 평가되어 그들의 상관관계를 설정하여 보정 하였다. 해석해를 금강의 감조구간에 적용하여 관측치와 비교한 결과 잘 일치하였다.

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Optimal extended homotopy analysis method for Multi-Degree-of-Freedom nonlinear dynamical systems and its application

  • Qian, Y.H.;Zhang, Y.F.
    • Structural Engineering and Mechanics
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    • 제61권1호
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    • pp.105-116
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    • 2017
  • In this paper, the optimal extended homotopy analysis method (OEHAM) is introduced to deal with the damped Duffing resonator driven by a van der Pol oscillator, which can be described as a complex Multi-Degree-of-Freedom (MDOF) nonlinear coupling system. Ecumenically, the exact solutions of the MDOF nonlinear coupling systems are difficult to be obtained, thus the development of analytical approximation becomes an effective and meaningful approach to analyze these systems. Compared with traditional perturbation methods, HAM is more valid and available, and has been widely used for nonlinear problems in recent years. Hence, the method will be chosen to study the system in this article. In order to acquire more suitable solutions, we put forward HAM to the OEHAM. For the sake of verifying the accuracy of the above method, a series of comparisons are introduced between the results received by the OEHAM and the numerical integration method. The results in this article demonstrate that the OEHAM is an effective and robust technique for MDOF nonlinear coupling systems. Besides, the presented methods can also be broadly used for various strongly nonlinear MDOF dynamical systems.

비선형 정상파의 Fourier급수 해석 (Fourier Approximation of Nonlinear Standing Waves)

  • 전인식;안희도
    • 한국해안해양공학회지
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    • 제4권4호
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    • pp.219-224
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    • 1992
  • 이차원 비선형 정상파의 파낭포텐셜과 수면 파형곡선을 임의 계수를 갖는 Fourier 급수로 대치하고 그 계수를 지배방정식 및 경계조건으로부터 비롯되는 비선형 연립방정식의 Newton 해법에 의하여 결정하는 방법을 제시하였다. 해석결과의 유효성을 검증하기 위하여 본 교치분석을 재내의 4차 미소치 섭동기법과 비교하였으며, 또한 파형과 파염을 관측하기 위한 수리실험을 실시하여 그 결과를 수치해석결과와 비교ㆍ검토하였다. 검토 결과, 본 해석 기법은 수심조건에 관계없이 비교적 큰 파형 경사에서도 정확한 해를 주는 것으로 나타났으며 또한 비선형성이 강한 정상파에서 파염곡선의 파봉부분에 일반적으로 나타나는 이중 돌출부를 잘 예측함으로써 그 타당성을 입증하였다.

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태양광 발전시스템의 새로운 하이브리드 MPPT (A Novel Hybrid MPPT Control for Photovoltaic System)

  • 김수빈;조영민;김형진;송승호;최주엽;최익;이영권
    • 한국태양에너지학회 논문집
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    • 제35권2호
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    • pp.43-52
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    • 2015
  • The performance of a photovoltaic array is affected by temperature, solar insolation, partial shading effect, and array configuration. Maximum power point tracking(MPPT) techniques are employed in photovoltaic systems to make full utilization of the PV array output power which depends on solar irradiation and ambient temperature. As much as MPPT is important in photovoltaic systems, many MPPT techniques have been developed. In this paper, several major existing MPPT methods are comparatively analyzed and novel hybrid MPPT algorithm is proposed. The proposed hybrid MPPT algorithm is developed in combination with traditional MPPT methods to complement each other for improving performance and mitigating partial shading effects. The proposed algorithm is implemented and validated using MATLAB/Simulink simulation tool.

THE KRAMERS-HEISENBERG FORMULA AND THE GUNN-PETERSON TROUGH

  • Bach, Kiehunn;Lee, Hee-Won
    • 천문학회지
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    • 제47권5호
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    • pp.187-193
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    • 2014
  • Recent cosmological observations indicate that the reionized universe may have started at around z = 6, where a significant suppression around $Ly{\alpha}$ has been observed from the neutral intergalactic medium. The associated neutral hydrogen column density is expected to exceed $10^{21}cm^{-2}$, where it is very important to use the accurate scattering cross section known as the Kramers-Heisenberg formula that is obtained from the fully quantum mechanical time-dependent second order perturbation theory. We present the Kramers-Heisenberg formula and compare it with the formula introduced in a heuristic way by Peebles (1993) considering the hydrogen atom as a two-level atom, from which we find a deviation by a factor of two in the red wing region far from the line center. Adopting a representative set of cosmological parameters, we compute the Gunn-Peterson optical depths and absorption profiles. Our results are quantitatively compared with previous work by Madau & Rees (2000), who adopted the Peebles approximation in their radiative transfer problems. We find deviations up to 5 per cent in the Gunn-Peterson transmission coefficient for an accelerated expanding universe in the red off-resonance wing part with the rest wavelength ${\Delta}{\lambda}{\sim}10{\AA}$.

Structures and Barrier Heights for the Internal Rotation of Ethyl Halides Caculated by ab initio Methods

  • Ryu, Ung-Sik;Lee, Yoon-Sup
    • Bulletin of the Korean Chemical Society
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    • 제15권3호
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    • pp.221-227
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    • 1994
  • The barrier heights of the internal rotations for ethyl halides calculated by ab initio methods differ from those of experiments by more than 0.2 kcal/mol. The use of basis sets larger than the $6-31G^{\ast}$ set and the inclusion of correlation do not improve the agreement between the calculated and experimental values. The zero-point vibration corrections are substantial in the HF calculations with $6-31G^{\ast}$ basis sets, but become negligible in the MP2 calculations with $6-311G^{{\ast}{\ast}}$ basis sets for $C_2H_5F\;and\;C_2H_5Cl$. It is shown that the rigid rotor approximation and the assumed shape of the potential curve as a cos2${\theta}$ curve could also be the sources of discrepancies between calculated and experimental values. Higher order perturbation corrections narrow the gap between experimental and theoretical values, but there still remains about 10% overestimate of 0.3 kcal/mol. Optimized geometries from the HF and MP2 calculations are in good agreement with those from experiments. Dipole moments calculated from the MP2 densities show slightly better agreement with experiments than those from the HF densities.

Multicriteria shape design of a sheet contour in stamping

  • Oujebbour, Fatima-Zahra;Habbal, Abderrahmane;Ellaia, Rachid;Zhao, Ziheng
    • Journal of Computational Design and Engineering
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    • 제1권3호
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    • pp.187-193
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    • 2014
  • One of the hottest challenges in automotive industry is related to weight reduction in sheet metal forming processes, in order to produce a high quality metal part with minimal material cost. Stamping is the most widely used sheet metal forming process; but its implementation comes with several fabrication flaws such as springback and failure. A global and simple approach to circumvent these unwanted process drawbacks consists in optimizing the initial blank shape with innovative methods. The aim of this paper is to introduce an efficient methodology to deal with complex, computationally expensive multicriteria optimization problems. Our approach is based on the combination of methods to capture the Pareto Front, approximate criteria (to save computational costs) and global optimizers. To illustrate the efficiency, we consider the stamping of an industrial workpiece as test-case. Our approach is applied to the springback and failure criteria. To optimize these two criteria, a global optimization algorithm was chosen. It is the Simulated Annealing algorithm hybridized with the Simultaneous Perturbation Stochastic Approximation in order to gain in time and in precision. The multicriteria problems amounts to the capture of the Pareto Front associated to the two criteria. Normal Boundary Intersection and Normalized Normal Constraint Method are considered for generating a set of Pareto-optimal solutions with the characteristic of uniform distribution of front points. The computational results are compared to those obtained with the well-known Non-dominated Sorting Genetic Algorithm II. The results show that our proposed approach is efficient to deal with the multicriteria shape optimization of highly non-linear mechanical systems.