• Title/Summary/Keyword: smooth curve

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Reference Point Projection Method for Improved Dynamics of Solar Array Hardware Emulation

  • Wellawatta, Thusitha;Choi, Sung-Jin
    • Proceedings of the KIPE Conference
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    • 2018.07a
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    • pp.126-128
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    • 2018
  • Solar array simulator (SAS) is a special DC power supply that regulates the output voltage or current to emulate characteristics of photovoltaic (PV) panels. Especially, the control of SAS is a challenging task due to the nonlinearity in the output curve, which is dependent on irradiance as well as temperature and is determined by panel materials. Conventionally, both current-mode control and voltage-mode control should be alternated by partitioning the operating curve into multiple sections, which is not only for the measurement noise problem with the feedback sensing but also for the control stability issue near the maximum power point. However, the occurrence of transition among different controllers may deteriorate the overall performance. To eliminate the mode transitions, a novel single controller scheme has been introduced in this paper, where the reference operating projection technique enables simple, smooth and numerically stable control. Theoretical consideration on the loop stability issue is discussed and the performance is verified experimentally for the emulation of a PV panel data in view of stability and response speed.

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A Study on the Interaction between Distributed Cracks (분포 크랙들 사이에서의 상호 간섭에 관한 연구)

  • Han, Moon-Sik;Cho, Ja-Eung
    • Transactions of the Korean Society of Automotive Engineers
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    • v.13 no.6
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    • pp.63-69
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    • 2005
  • For the case that center crack is surrounded by four small cracks which are symmetrically distributed around center crack, the same values of normalized stress intensity factor of center crack according to the position of the tip of small cracks are located on the smooth curve. And the stress intensity factor according to any position of small cracks can be sufficiently obtained from this curve. The plastic zones between distributed cracks are also investigated by changing the positions of nearly small cracks. The occurrence of plastic zone due to the interaction between center crack and small cracks are analyzed by finite element method. The mechanical behavior at the vicinity of crack tips is investigated by plastic areas. The changes of plastic zones according to positions of distributed cracks are drawn schematically. The safety of materials is also analyzed.

B-Spline Representation of Active Contours by Dynamic Programming (동적 프로그래밍에 의한 활성 윤곽선의 B-스플라인 표현)

  • Kim, Dong-Geun
    • The Transactions of the Korea Information Processing Society
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    • v.6 no.7
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    • pp.1962-1969
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    • 1999
  • Active contours are deformable energy minimizing curves controlled by internal energy and external energy. The internal energy is constraint to preserve a smooth curve, and the external energy guides the curve towards image features. B-spline representation of active contours can be of great benefits in the segmentation and description whose shape is characterized by its defining polygon or control points. Menet et al proposed B-spline representation of active contours based on dynamic programming. The method is simple and efficient by comparing over finite difference method.

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THE DIMENSION OF THE SPACE OF STABLE MAPS TO THE RELATIVE LAGRANGIAN GRASSMANNIAN OVER A CURVE

  • Daewoong Cheong
    • Journal of the Chungcheong Mathematical Society
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    • v.36 no.1
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    • pp.1-8
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    • 2023
  • Let C be a smooth projective curve and W a symplectic bundle over C of degree w. Let π : 𝕃𝔾(W) → C be the relative Lagrangian Grassmannian over C and Sd(W) be the space of Lagrangian subbundles of degree w -d. Then Kontsevich's space ${\bar{\mathcal{M}}}_g$(𝕃𝔾(W), βd) of stable maps to 𝕃𝔾(W) is a compactification of Sd(W). In this article, we give an upper bound on the dimension of ${\bar{\mathcal{M}}}_g$(𝕃𝔾(W), βd), which is an analogue of a result in [8] for the relative Lagrangian Grassmannian.

Weierstrass semigroups at inflection points

  • Kim, Seon-Jeong
    • Journal of the Korean Mathematical Society
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    • v.32 no.4
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    • pp.753-759
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    • 1995
  • Let C be a smooth complex algebraic curve of genus g. For a divisor D on C, dim D means the dimension of the complete linear series $\mid$D$\mid$ containing D, which is the same as the projective dimension of the vector space of meromorphic functions f on C with divisor of poles $(f)_\infty \leq D$.

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LIMITS OF TRIVIAL BUNDLES ON CURVES

  • Ballico, Edoardo
    • Communications of the Korean Mathematical Society
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    • v.35 no.1
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    • pp.43-61
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    • 2020
  • We extend the work of A. Beauville on rank 2 vector bundles on a smooth curve in several directions. We give families of examples with large dimension, add new existence and non-existence results and prove the existence of indecomposable limits with arbitrary rank. To construct the large dimensional families we use the examples of limits of rank 2 trivial bundles on ℙ2 and ℙ3 due to C. Banica. We also consider a more flexible notion: limits of trivial bundles on nearby curves.

Heights on singular projective curves

  • Choi, Hyun-Joo
    • Communications of the Korean Mathematical Society
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    • v.10 no.1
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    • pp.1-10
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    • 1995
  • In this paper we show that for each divisor class c of degree zero on a projective curve C (not necessarily smooth), there exists a unique function $\hat{h}_c$ on C up to bounded functions. Section 1 contain basic definitions and a brief summary of classical results on Jacobians and heights. In section 2, we prove the existence of "canonical height" on a singular curves and in section 3 we prove the analogouse results on N$\acute{e}$ron functions for singular curves. This is a part of the author's doctorial thesis at Ewha Womens University under the guidence of professor Sung Sik Woo.g Sik Woo.

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Propagation Characteristics of Fatigue Microcracks on Smooth Specimen of $2_{1/4}$ Cr-1 Mo Steel ($2_{1/4}$ Cr-1 Mo강의 평활재상의 미소한 표면피로균열의 성장특성)

  • Suh, Chang-Min;Woo, Byung-Chul;Jang, Hui-Rak
    • Journal of Ocean Engineering and Technology
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    • v.4 no.2
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    • pp.250-250
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    • 1990
  • In this paper, fatigue tests were carried out at stress test levels of 461 MPa, 441 MPa, and 431 MPa by using smooth specimen of$2_{1/4}$ Cr-1 Mo steel with the stress ratio(R) of 0.05. The initiation, growth and coalescense process of the major cracks and sub-cracks among the fatigue cracks on the smooth specimen are investigated and measured under each stress level at a constant cycle ratio by the replica technique with optical microscope. Some of the important results are as follows: In spite of the difference of stress levels, the major crack data gather into a small band in the curve of surface crack length and crack depth against cycle ratio N/Nf. The sub-crack data, however, deviate from the band of the major crack. The growth rates, da/dN, of major and sub-crack plotted against the stress intensity factor range, ${\Delta}K$, have the tendency to be compressed on a relatively small band. But it is more effective to predict fatigue life through major cracks. The propagation behavior of surface microcracks on the smooth specimens coincides with that of the specimen having an artificial small surface defect or through crack.

Finite Element Analysis and Development of Interim Consolidated 5-N Curve for Fatigue Design of Welded Structure (용접구조물의 피로설계를 위한 유한요소 해석 및 통합 피로선도 초안 개발)

  • Kim, Jong-Sung;Jin, Tae-Eun;Hong, Jeong-Kyun;P. Dong
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.27 no.5
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    • pp.724-733
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    • 2003
  • Fatigue design rules for welds in the ASME Boiler and Pressure Vessels Code are based on the use of Fatigue Strength Reduction Factors(FSRF) against a code specified fatigue design curve generated from smooth base metal specimens without the presence of welds. Similarly, stress intensification factors that are used in the ASME B3l.1 Piping Code are based on component S-N curves with a reference fatigue strength based on straight pipe girth welds. But the determination of either the FSRF or stress intensification factor requires extensive fatigue testing to take into account the stress concentration effects associated with various types of component geometry, weld configuration and loading conditions. As the fatigue behavior of welded joints is being better understood, it has been generally accepted that the difference in fatigue lives from one type of weld to another is dominated by the difference in stress concentration. However, general finite element procedures are currently not available for effective determination of such stress concentration effects. In this paper, a mesh-insensitive structural stress method is used to re-evaluate the S-N test data, and then more effective method is proposed for pressure vessel and piping fatigue design.