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OSCULATING VERSUS INTERSECTING CIRCLES IN SPACE-BASED MICROLENS PARALLAX DEGENERACIES

  • Gould, Andrew
    • Journal of The Korean Astronomical Society
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    • v.52 no.4
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    • pp.121-131
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    • 2019
  • I investigate the origin of arc degeneracies in satellite microlens parallax ${\pi}_E$ measurements with only late time data, e.g., t > $t_0+t_E$ as seen from the satellite. I show that these are due to partial overlap of a series of osculating, exactly circular, degeneracies in the ${\pi}_E$ plane, each from a single measurement. In events with somewhat earlier data, these long arcs break up into two arclets, or (with even earlier data) two points, because these earlier measurements give rise to intersecting rather than osculating circles. The two arclets (or points) then constitute one pair of degeneracies in the well-known four-fold degeneracy of space-based microlens parallax. Using this framework of intersecting circles, I show that next-generation microlens satellite experiments could yield good ${\pi}_E$ determinations with only about five measurements per event, i.e., about 30 observations per day to monitor 1500 events per year. This could plausibly be done with a small (hence cheap, in the spirit of Gould & Yee 2012) satellite telescope, e.g., 20 cm.

DC Series Arc Fault Detector Based on the Discrete Wavelet Transform Algorithm for a Large Photovoltaic System (대용량 PV 시스템 적용을 위한 DWT 알고리즘 기반 태양광 직렬 아크 검출기)

  • Cho, Chan-Gi;Ahn, Jae-Beom;Lee, Jin-Han;Ryoo, Hong-Je
    • Proceedings of the KIPE Conference
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    • 2020.08a
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    • pp.1-3
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    • 2020
  • 본 논문은 주파수 분석 방법 중 하나인 Discrete Wavelet Transform (DWT)을 활용하여 태양광 직렬 아크 사고를 검출하는 방법에 관하여 다룬다. DWT 알고리즘은 주파수 도메인에서도 시간 축 정보를 표현할 수 있어 기존의 Fast Fourier Transform (FFT) 주파수 분석 알고리즘과 차이점이 있으며, 대용량 태양광 시스템의 직렬 아크 사고 검출에 최적화 되도록 DWT 알고리즘의 속도를 향상시켜 태양광 DC 아크 사고 안전규격인 UL1699B의 요구 조건을 만족시켰다. DWT 알고리즘의 경우 TMS320F28033 기반으로 구현 되었으며 대용량 PV 시스템 적용을 위해 로고스키코일을 전류 센서로 사용하였다. 또한, 모의 DC 직렬 아크 발생 회로를 구축하여 제작한 사고 검출기의 성능을 실제 아크 발생 조건에서 검증하였다.

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Interpretation of Soil Catena for Agricultural Soils derived from Sedimentary Rocks (퇴적암 유래 농경지 토양에 대한 카테나 해석)

  • SONN, Yeon-Kyu;LEE, Dong-Sung;KIM, Keun-Tae;HYUN, Byung-Keun;JUN, Hye-Weon;JEON, Sang-Ho
    • Journal of the Korean Association of Geographic Information Studies
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    • v.20 no.4
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    • pp.1-14
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    • 2017
  • In Korea, the soil series derived from sedimentary rocks are classified into seven soil series of coarse loamy soil such as Dain, Danbug, Dongam, Imdong, Jeomgog, Maryeong, and Yonggog; seventeen soil series of fine loamy soil such as Angye, Anmi, Banho, Bigog, Deoggog, Dogye, Dojeon, Gamgog, Gugog, Jincheon, Maji, Mungyeong, Oggye, Samam, Yanggog, Yeongwol, and Yulgog; six soil series of fine silty soil such as Goryeong, Bonggog, Juggog, Gyeongsan, Yuga, and Yugog; and four soil series of clayey soil such as Mitan, Pyeongan, Pyeongjeon, and Uji. All thirty-four soil series have different drainage rates and topography. However, the soil texture depends on the parent rock. The buffer functions in GIS (Geographic Information System) techniques were used to calculate adjacent soil series from a soil series. The length of the adjacent soil series was adjusted because a side of the buffer area was one meter long. The cluster analysis was conducted using the CCC (Cubic Clustering Criterion) method, in which the number of clusters is calculated based on the individual soil series ratio. Soil survey has been carried out since 1964 as "The reconnaissance soil survey", and 1:5,000 detailed soil survey was completed in 1999 with a five-years plan in Korea. Today, all the soil survey information has been computerized. GIS techniques were used to establish a digital soil map; however, there have not been any studies to interpret pedogenesis using the GIS technique. In this study, the area of the adjacent soil series were obtained using the GIS technique. The area of the adjacent soil series can be calculated based on the information area. The similarities of soil originated from sedimentary rocks were estimated using the length. As a result, the distribution of grain size was different based on the types of sedimentary rocks and the location. The clusters were distinguished into limestone, sandstone, and shale. In addition, the soil derived from shale was divided into red shale and gray shale. This means that quantitative interpretation of the catena and this established method can be used to interpret the relationship between soil series.

Heterogeneity Analysis of the Male Birth Ratio Data (남아 출생률 자료에 대한 이질성 분석)

  • Lim, Hwa-Kyung;Song, Seuck-Heun;Song, Ju-Won
    • The Korean Journal of Applied Statistics
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    • v.22 no.2
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    • pp.365-373
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    • 2009
  • Since 1990, identifying the sex of fetus and illegal abortion has brought the sex ratio imbalance at birth in Korea due to a notion of preferring a son to a daughter, socio-economic development, population policy, and so forth. Although there have been many researches such as time series analysis and region difference analysis to monitor this sex ratio imbalance, they have a defect that time and space could not be included in the analysis simultaneously. This study analyzes the sex ratio imbalance at birth, taking into account time and region at the same time. The analysis considered the numbers of male and female babies, who were born as the third or latter in their families, in 2000 and 2001 at 234 Gu / Si / Goon administrative districts. Here, we suggest a mixture model of binomial distributions, assuming heterogeneous populations. The estimation of the location parameters, weights and correlation coefficient of the mixture model is conducted by the EM algorithm, and the heterogeneity of the regions is expressed as a picture using ArcView GIS.

A Study on the Snap-through Behaviour of Plate Elements due to the Initial Deflection Shape (초기처짐형상에 따른 판부재의 천이거동에 관한 연구)

  • Park, Joo-Shin;Lee, Kye-Hee;Ko, Jae-Yong
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.18 no.1
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    • pp.13-20
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    • 2005
  • Since High Tensile Steel has been widely used to thin plate on the steel structure and marine structure, It has increased possibility of buckling. Especially, initial deflection of ship structure is mainly caused by heat processing of welding or cutting etc. This initial deflection has negative effect to thin plate, which would incur a complicated nonlinear behavior accompanied with secondary buckling. If idealized initial deflection is considered in early marine structure design of secondary buckling, accuracy and reliability will be improved considerably. The measurement data of initial deflection from experiment is applied to finite element series analysis. For FEA(ANSYS), Applied nonlinear buckling analysis is used by Newton-Raphson method & Arc-length method included in this program.

Control of Weld Pool Size in GMA Welding Process Using Neural Networks (신경회로를 이용한 GMA 용접 공정에서의 용융지의 크기 제어)

  • 임태균;조형석;부광석
    • Journal of Welding and Joining
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    • v.12 no.1
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    • pp.59-72
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    • 1994
  • This paper presents an on-line quality monitoring and control method to obtain a uniform weld quality in gas metal arc welding (GMAW) processes. The geometrical parameters of the weld pool such as the top bead width and the penetration depth plus half back width are utilized to assess the integrity of the weld quality. Since a good quality weld is characterized by a relatively high depth-to-width ratio in its dimensions, the second geometrical parameter is regulated to a desired one. The monitoring variables are the surface temperatures measured at various points on the top surface of the weldment which are strongly related to the formation of the weld pool The relationship between the measured temperatures and the weld pool size is implemented on the multilayer perceptrons which are powerful for realization of complex mapping characteristics through training by samples. For on-line quality monitoring and control, it is prerequisite to estimate the weld pool sizes in the region of transient states. For this purpose, the time history of the surface temperatures is used as the input to the neural estimator. The control purpose is to obtain a uniform weld quality. In this research, the weld pool size is directly regulated to a desired one. The proposed controller is composed of a neural pool size estimator, a neural feedforward controller and a conventional feedback controller. The pool size estimator predicts the weld pool size under growing. The feedforward controller compensates for the nonlinear characteristics of the welding process. A series of simulation studies shows that the proposed control method improves the overall system response in the presence of changes in torch travel speed during GMA welding and guarantees the uniform weld quality.

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Stabilization of Heavy Metals in Glasses Containing EAF Dust (전기로 분진이 첨가된 유리의 중금속 안정화 특성)

  • Eun, Hee-Tai;Kang, Seung-Gu;Kim, Yoo-Taek;Lee, Gi-Kang;Kim, Jung-Hwan
    • Journal of the Korean Ceramic Society
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    • v.41 no.11
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    • pp.851-857
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    • 2004
  • The stabilizing characteristics of heavy metals in the silicate glass (SD), borosilicate glass (BD), and leadsilicate glass (PD) containing Electric Arc furnace (EAF) dust were studied by the Toxic Characterization Leaching Procedure (TCLP) test. Also, the dependence of the amount of EAF dust upon structural changes of SD, BD, and PD glasses and the TCLP results were investigated by the XRD and FT-IR spectroscopy. In the XRD results, all of SD, BD, and PD specimens containing dust up to 30 wt% were amorphous without crystallizing. In the TCLP test, the concentration of heavy metals leached from the glasses increased with the amount of EAF dust added. The SD specimen series showed the lowest heavy metal leaching and the heavy metal leachate of the PD specimens were lower than those of the BD specimens. But, the Pb leaching from the PD specimens was the highest in the PD glass composition due to the high Pb content. The value of oxygen/network former ratio could be used to compare the chemical durability within the same glass series, but not proper to do between the different glass series. Adding the EAF dust to the SD mother glass, decreased the Si-O-Si symmetry and increased the non-bridging oxygen, which weakened the structure and decreased the chemical durability of glasses. In the BD series glasses, the addition of EAF dust caused the structural changes from tetra-borate group to di-borate group and the formation of the 2-dimensional layer structure of pyre- and ortho- borate, which decreased the chemical durability of glasses. It is concluded that SD series glass among the 3 kinds of glasses is the most effective to stabilize the heavy metals of EAF dust.

Petrological Study on Basaltic Rocks of the Daljeon-ri Columnar Joint and the Noeseongsan Noerok Site in Pohang, Korea (포항 달전리 주상절리와 뇌성산 뇌록산지의 현무암 비교 분석)

  • Kim, Jae hwan;Yu, Yeong-wan;Jung, Seung-Ho;Kim, Tae-Hyeong;Moon, Dong Hyeok;Kong, Dal-Yong
    • The Journal of the Petrological Society of Korea
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    • v.27 no.4
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    • pp.185-194
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    • 2018
  • The basaltic rocks of Daljeon-ri columnar joint (Natural Monuments # 415) and Noeseongsan Noerok site (Natural Monuments # 547) were analysed in order to understand basalt types of two areas. The basaltic rocks of the Pohang Daljeon-ri columnar joint show a typical porphyritic texture containing phenocrysts (olivine and clinopyroxene) and groundmasses composed of clinopyroxene, plagioclase, and opaque minerals,. In contrast, basaltic rocks of Noeseongsan Noerok are characterized by fine-grained groundmass with large phenocrysts of plagioclase. Other analysis such as magnetic susceptibility, X-ray diffraction and X-ray fluorescence also support the petrological differences of two basalt rocks. The Daljeon-ri basaltic rocks are plotted on phonotephrite volcanic rocks of alkaline series in TAS(total alkali silica), and on within plate basalt in Zr-Ti diagram. The Noeseongsan basalts, on the other hand, are plotted on basaltic andesite to andesite of sub-alkaline series in TAS, and on volcanic arc basalt in Zr-Ti diagram. These results indicate that the original mantle materials between two basalt rocks were different each other, which probably originated from the change of a tectonic setting in the southeastern Korean peninsula during the Miocene.

Petrology of the Volcanic Rocks in Geoje Island, South Korea (거제도 화산암의 암석학적 연구)

  • 윤성효;이준동;이상원;고정선;서윤지
    • The Journal of the Petrological Society of Korea
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    • v.6 no.1
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    • pp.1-18
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    • 1997
  • Andesitic pyroclastics and lava flows are deposited as a part of composite volcanoes by Cretaceous volcanic activity in Geojae Island, off the coast of Korea. The andesitic pyroclastics are composed of tuff breccia and lapilli tuff minor intercalated tuff. Lava flows are divided into dense and porphyritic andesite containing phenocrysts of plagioclase, pyroxene, and/or hornblende. The andesitic rocks represent charactersitcs of carc-alkaline BAR association with basalt, basaltic andesite, andesite, and dacite to rhyolite. Major element variations of the volcanic rocks show that $Al_2O_3$, total FeO, CaO, MgO and $TiO_2$ decrease with increasing $SiO_2$ but $K_2O$ and total alkalis increase, and represent differntiation trend of calc-alkaline rock series. In spider diagram, contents of Sr, K, Rb, Ba, and Th are relatively high, but contents of Nb, P, Ti and Cr are low. These petrochemcial characteristics are similar to those of rocks from island arc or continental margein related to plate subduction. Chondrite-normalized REE patterns of volcanic rocks are paralle to subparallel, with LREE enriched than HREE, and show gradual increase of negative Eu anomaly from basalt to dacite and rhyolite, suggesting comagmatic fractional crystallization with minor effects of assimilation and magma mixing. Andesitic rocks are assumed medium-K orogenic andesites that formed in the tectomagmatic environment of subduction zone under normal continental margin arc.

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Petrology of the Cretaceous Volcanic Rocks in Eastern Part of the Kyeongsan Caldera (경산칼데라 동부지역에 분포하는 백악기 화산암류의 암석학적 특징)

  • Park Sung-Ok;Jang Yun-Deuk;Hwang Sang-Koo;Kim Jeong-Jin
    • The Journal of the Petrological Society of Korea
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    • v.15 no.2 s.44
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    • pp.90-105
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    • 2006
  • The Cretaceous volcanic rocks in the study area represented by andesitic rocks occupy eastern part of the Kyeongsan Caldera. The volcanic rocks comprise andesite I, andesitic tuff, andesite II, and andesitic tuff breccia in their stratigraphic succession, and andesitic porphyry. Andesite I is distinguished from andesite II in their color, texture, phenocryst mineralogy and petrochemisty. In outcrops, andesite I is compact and dark-green, and andesite II is brick red in color and porphyritic in texture. In their phenocryst mineralogy, andesite I contains olivine phenocryst in addition to plagioclase and pyroxene which occur in both of andesites. Compared to andesite II, andesite I is higher in $SiO_2$ and $K_2O$ contents and lower in CaO, MgO, MnO, $TiO_2,\;Fe_2O_3$, and $P_2O_5$. Major elements petrochemistry shows that magma series of the volcanic rocks spread widely from calc-alkaline to alkaline series. On the other hand, immobile trace elements petrochemistry shows that the magma series is calc-alkaline without exception, suggesting that the volcanics has experienced more or less alkali enrichment after their eruption. Trace element diagrams for discrimination of tectonic setting show that the volcanics of the study area might be originated from calc-alkaline continental volcanic arc.