• Title/Summary/Keyword: gradient calculation

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Economic Dispatch of Thermal Units of a GENCO Using the Gradient Projection Method (경사 투영법을 이용한 발전사업자의 경제급전)

  • 정정원
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.52 no.9
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    • pp.550-556
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    • 2003
  • Price-based unit commitment is one of bidding strategies which a Genco may take in a practical manner. For that purpose, it is required for a Genco to decide output levels of its generators at each trade period. In this paper, an economic dispatch of thermal units is proposed considering the quantity of reserve contracts. A gradient projection algorithm is adopted as an optimization tool. A direct form of a projection matrix without any calculation of matrix inverse and multiplications is induced. Besides, it is proved that there is no need to check one of the two optimality conditions in the gradient projection method, which also requires matrix inverse and multiplications.

Modeling and Analysis of Size-Dependent Structural Problems by Using Low-Order Finite Elements with Strain Gradient Plasticity (변형률 구배 소성 저차 유한요소에 의한 크기 의존 구조 문제의 모델링 및 해석)

  • Park, Moon-Shik;Suh, Yeong-Sung;Song, Seung
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.35 no.9
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    • pp.1041-1050
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    • 2011
  • An elasto-plastic finite element method using the theory of strain gradient plasticity is proposed to evaluate the size dependency of structural plasticity that occurs when the configuration size decreases to micron scale. For this method, we suggest a low-order plane and three-dimensional displacement-based elements, eliminating the need for a high order, many degrees of freedom, a mixed element, or super elements, which have been considered necessary in previous researches. The proposed method can be performed in the framework of nonlinear incremental analysis in which plastic strains are calculated and averaged at nodes. These strains are then interpolated and differentiated for gradient calculation. We adopted a strain-gradient-hardening constitutive equation from the Taylor dislocation model, which requires the plastic strain gradient. The developed finite elements are tested numerically on the basis of typical size-effect problems such as micro-bending, micro-torsion, and micro-voids. With respect to the strain gradient plasticity, i.e., the size effects, the results obtained by using the proposed method, which are simple in their calculation, are in good agreement with the experimental results cited in previously published papers.

A New Approach to Optimal Power Flow using Conjugate Gradient Method (공액 경사법을 사용한 최적조류계산에 대한 새로운 접근법)

  • Jo, Han-Hyung;Kim, Weon-Kyum;Kim, Kern-Joong
    • Proceedings of the KIEE Conference
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    • 1990.07a
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    • pp.139-142
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    • 1990
  • This paper presents a new approach to optimal power flow (OPF) problem using conjugate gradient method, using this method. We can obtain initial feasible solution and lagrangian multiplier without calculation of matrix inversion.Test experiment shows a desiriable result and a stable convergence characteristic.

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ZORA DFT Calculation of $^{11}$B Electric Field Gradient Tensor for Lithium Borates

  • Woo, Ae-Ja;Wasylishen, Roderick E.
    • Journal of the Korean Magnetic Resonance Society
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    • v.8 no.2
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    • pp.70-76
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    • 2004
  • ZORA-DFT calculations of $^{11}$B EFG (electric field gradient) tensors for lithium borates, LiB$_3O_5$ (LBO) and Li$_2B_4O_7$ (LTB), were performed. The calculated values of 11B quadrupole coupling constant and asymmetry parameter are in good agreement with the experimental values. The sign of the quadrupole coupling constant for the tetrahedral boron site was deduced from the distortion from the ideal tetrahedral symmetry.

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Prediction of Bypass Transition Flow on Surface with Changing Pressure Gradient (압력구배가 변하는 표면 위의 Bypass 천이 유동의 예측)

  • Baek-Seong-Gu;Chung, Myung-Kyoon;Lim, Hyo-Jae
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.26 no.6
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    • pp.823-832
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    • 2002
  • A modified $textsc{k}$-$\varepsilon$model is proposed for calculation of transitional boundary-layer flows with changing pressure gradient. In order to develop the model for this problem, the flow is divided into three regions; pre-transition region, transition region and fully turbulent region. The effect of pressure gradient is taken into account in stream-wise intermittency factor, which bridges the eddy-viscosity models in the pre-transition region and the fully turbulent region. From intermittency data in various flows, Narashima's intermittency function, F(${\gamma}$), has been found to be proportional to $\chi$$^{n}$ according to the extent of pressure gradient. Three empirical correlations of intermittency factor being analyzed, the best one was chosen to calculate three benchmark cases of bypass transition flows with different free-stream turbulence intensity under arbitrary pressure gradient. It was found that the variations of skin friction and shape factor as well as the profiles of mean velocity in the transition region were very satisfactorily predicted.

The calculation of elongation coefficients of forest roads - National forest roads of Kangnung national forest office - (임도(林道)의 우회계수(迂廻係數) 산출(算出) - 강릉영림서(江陵營林署)의 국유임도(國有林道)를 대상으로 -)

  • Cha, Du-Song;Ji, Byung-Yun;Cho, Koo-Hyun
    • Journal of Forest and Environmental Science
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    • v.10 no.1
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    • pp.49-56
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    • 1994
  • This study was carried out to estimate forest road elongation coefficients for providing the basic information of forest road construction. As the results, road elongation coefficients were calculated 0.33 less than 5% of road gradient, 0.39 between the gradient of 6% and 10%, 0.50 between the gradient of 11% and 15%, 0.58 between the gradient of 16% and 20%, and 0.60 greater than the gradient of 20%.

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A New Calculation Method of Equalizer algorithms based on the Probability Correlation (확률분포 상관도에 기반한 Equalizer 알고리듬의 새로운 연산 방식)

  • Kim, Namyong
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.15 no.5
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    • pp.3132-3138
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    • 2014
  • In many communication systems, intersymbol interference, DC and impulsive noise are hard-to-solve problems. For the purpose of cancelling such interferences, the concept of lagged cross-correlation of probability has been used for blind equalization. However, this algorithm has a large burden of computation. In this paper, a recursive method of the algorithm based on the lagged probability correlation is proposed. The summation operation in the calculation of gradient of the cost is transformed into a recursive gradient calculation. The recursive method shows to reduce the high computational complexity of the algorithm from O(NM) to O(M) for M symbols and N block data having advantages in implementation while keeping the robustness against those interferences. From the results of the simulation, the proposed method yields the same learning performance with reduced computation complexity.

Theoretical Potential Calculation of Coal Seam in Various Structures (복잡(複雜)한 탄층구조(炭層構造)에서의 이논전위곡선(理論電位曲線)의 계산(計算))

  • Kim, Woong-Soo;Suh, Baek-Soo
    • Journal of Industrial Technology
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    • v.1
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    • pp.27-33
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    • 1981
  • Due to intense tectonic activities and volcanic movements, coal mines exploration have been conflicted with problems so far. In this paper, computer calculation was specially applied for various model structures of inclined, anticlined and synclined coal beds. Of all these structures, the gradient of equipotential curves showed great as the dip of coal beds increases. Especially at synclined structure, the concaves appeared sharply in both sides of equipotential curves as the dip of coal beds increases. By above results, interpretation of coal exploration can be done by comparing field data one another.

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Wind-induced mechanical energy analyses for a super high-rise and long-span transmission tower-line system

  • Zhao, Shuang;Yan, Zhitao;Savory, Eric;Zhang, Bin
    • Wind and Structures
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    • v.34 no.2
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    • pp.185-197
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    • 2022
  • This study aimed to analyze the wind-induced mechanical energy (WME) of a proposed super high-rise and long-span transmission tower-line system (SHLTTS), which, in 2021, is the tallest tower-line system with the longest span. Anew index - the WME, accounting for the wind-induced vibration behavior of the whole system rather than the local part, was first proposed. The occurrence of the maximum WME for a transmission tower, with or without conductors, under synoptic winds, was analyzed, and the corresponding formulae were derived based on stochastic vibration theory. Some calculation data, such as the drag coefficient, dynamic parameters, windshielding areas, mass, calculation point coordinates, mode shape and influence function, derived from wind tunnel testing on reducedscale models and finite element software were used in calculating the maximum WME of the transmission tower under three cases. Then, the influence of conductors, wind speed, gradient wind height and wind yaw angle on WME components and the energy transfer relationship between substructures (transmission tower and conductor) were analyzed. The study showed that the presence of conductors increases the WME of transmission towers and changes the proportion of the mean component (MC), background component (BC) and resonant component (RC) for WME; The RC of WME is more susceptible to the wind speed change. Affected by the gradient wind height, the WME components decrease. With the RC decreasing the fastest and the MC decreasing the slowest; The WME reaches the its maximum value at the wind yaw angle of 30°. Due to the influence of three factors, namely: the long span of the conductors, the gradient wind height and the complex geometrical profile, it is important that the tower-line coupling effect, the potential for fatigue damage and the most unfavorable wind yaw angle should be given particular attention in the wind-resistant design of SHLTTSs

3-Dimensional Design of Gradient Coils for Magnetic Resonance Imaging (자기공명영상촬영용 경사자계코일의 3차원설계)

  • Ryu, Yeun-Chul;Hyun, Jung-Ho;Lee, Heung-K.;Oh, Chang-Hyun
    • Proceedings of the KIEE Conference
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    • 2006.10c
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    • pp.235-237
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    • 2006
  • In this paper, the previous 2-D gradient coil design method using loop current elements is extended to 3-D or multi-layer structures which is useful for various MRI applications including MR microscopic imaging where relatively large space may be available for the implementation of the gradient coils. Either the power consumption or the stored energy (thus, inductance), or the combination of the two can be minimized with a set of chosen target field constraints. Complete 3-D design equations for the optimization as well as inductance or resistance calculation are derived. An effective coil shape correction method for a curved current pattern is also developed. The design method can also be easily extended to the active shielding structure.

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