• 제목/요약/키워드: quadratic curve

검색결과 175건 처리시간 0.029초

P-e 곡선의 타원특성을 고려한 전력계통의 최대 허용부하의 예측 (Estimation of Maximum Loadability in Power Systems By Using Elliptic Properties of P-e curve)

  • 김범식;문영현;권용준
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2005년도 추계학술대회 논문집 전력기술부문
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    • pp.347-349
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    • 2005
  • This paper presents an efficient algorithm to estimate the maximum load level for heavily loaded power systems with the load-generation variation vector obtained by ELD (Economic Load Dispatch) and/or short term load forecasting while utilizing the elliptic pattern of the P-e curve. It is well known the power flow equation in the rectangular coordinate is fully quadratic. However, the coupling between e and f makes it difficult to take advantage of this quadratic characteristic. In this paper, a simple technique is proposed to reflect the e-f coupling effects on the estimation of maximum loadability with theoretical analysis. An efficient estimation algorithm has been developed with the use of the elliptic properties of the P-e curve. The proposed algorithm is tested on IEEE 14 bus system, New England 39 bus system and IEEE 118 bus system, which shows that the maximum load level can be efficiently estimated with remarkable improvement in accuracy.

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Flux Cored Arc용접용 아크센서의 개발 및 이를 이용한 용접선 추적에 관한 연구 (A Study on the Development of Arc Sensor for Flux Cored Arc Welding Process and its Application for Seam Tracking)

  • 김수영;이승영;나석주
    • Journal of Welding and Joining
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    • 제10권4호
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    • pp.190-198
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    • 1992
  • Among the variety of welding processes available, the flux cored arc welding is one of the most frequently used process, because of its wide range of application and high productivity. The weld joint tracking is indispensable to improve the flexibility of the arc welding robot application for the flux cored arc welding (FCAW) process. In this study, an arc sensor which utilizes the electrical signal obtained from the welding arc itself was developed for weld joint tracking in FCAW. Because a model of the welding arc in flux cored arc welding was required to develop the arc sensor, a mathematical model was proposed by analysing the welding arc behaviour, and also an experimental model by using the factorial experiment and least square method. For overcoming the fluctuation in the welding current signal during tracking the weld joint, it was fitted to a curve which is inversely proportional to a trace of tip-to-workpiece distance by using the quadratic curve-fitting method.

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Estimating dose-response curves using splines: a nonparametric Bayesian knot selection method

  • Lee, Jiwon;Kim, Yongku;Kim, Young Min
    • Communications for Statistical Applications and Methods
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    • 제29권3호
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    • pp.287-299
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    • 2022
  • In radiation epidemiology, the excess relative risk (ERR) model is used to determine the dose-response relationship. In general, the dose-response relationship for the ERR model is assumed to be linear, linear-quadratic, linear-threshold, quadratic, and so on. However, since none of these functions dominate other functions for expressing the dose-response relationship, a Bayesian semiparametric method using splines has recently been proposed. Thus, we improve the Bayesian semiparametric method for the selection of the tuning parameters for splines as the number and location of knots using a Bayesian knot selection method. Equally spaced knots cannot capture the characteristic of radiation exposed dose distribution which is highly skewed in general. Therefore, we propose a nonparametric Bayesian knot selection method based on a Dirichlet process mixture model. Inference of the spline coefficients after obtaining the number and location of knots is performed in the Bayesian framework. We apply this approach to the life span study cohort data from the radiation effects research foundation in Japan, and the results illustrate that the proposed method provides competitive curve estimates for the dose-response curve and relatively stable credible intervals for the curve.

질량분석기를 위한 스펙트럼 검출 알고리즘의 개선 (Improvement of Spectrum Detection Algorithm for Mass Spectrometer)

  • 이영학;최훈
    • 한국정보통신학회논문지
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    • 제23권1호
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    • pp.47-54
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    • 2019
  • 질량 스펙트럼 분석 시스템을 위한 스펙트럼 검출 알고리즘의 개선 방법을 제안하였다. 질량지수별 이온신호블록에 대한 선형 근사 및 2차 커브피팅의 결과를 활용한 기존의 스펙트럼 검출 알고리즘에서 무효 이온신호 제거조건을 추가 개선함으로써 질량 스펙트럼 검출 시 발생하는 오검출을 개선할 수 있다. 또한 제안한 방법은 피크위치오차가 보정된 유효이온신호블록에 대한 2차 피팅 커브 의 결과를 사용하여 질량 스펙트럼의 피크값 추정오차를 줄일 수 있다. 제안한 방법의 유효성을 보이기 위해 실제 취득한 이온신호를 입력으로 알고리즘 단계별 컴퓨터 시뮬레이션을 수행하였다. 또한 다수의 입력에 대한 오검출 율을 비교함으로써 제안한 방법이 기존 방법에 비해 검출 성능이 우수함을 보였다.

Quick and Accurate Computation of Voltage Stability Margin

  • Karbalaei, Farid;Abasi, Shahriar
    • Journal of Electrical Engineering and Technology
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    • 제11권1호
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    • pp.1-8
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    • 2016
  • It is well known that the behavior of PV curves is similar to a quadratic function. This is used in some papers to approximate PV curves and calculate the maximum-loading point by minimum number of power flow runs. This paper also based on quadratic approximation of the PV curves is aimed at completing previous works so that the computational efforts are reduced and the accuracy is maintained. To do this, an iterative method based on a quadratic function with two constant coefficients, instead of the three ones, is used. This simplifies the calculation of the quadratic function. In each iteration, to prevent the calculations from diverging, the equations are solved on the assumption that voltage magnitude at a selected load bus is known and the loading factor is unknown instead. The voltage magnitude except in the first iteration is selected equal to the one at the nose point of the latest approximated PV curve. A method is presented to put the mentioned voltage in the first iteration as close as possible to the collapse point voltage. This reduces the number of iterations needed to determine the maximum-loading point. This method is tested on four IEEE test systems.

A Study on the Relationship between Properties of the Elliptic Curves and Performance of Elliptic Curve Method (ECM)

  • Jizhe Cui;Shin, Seung-won;Park, Jong-Uk
    • 한국지능정보시스템학회:학술대회논문집
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    • 한국지능정보시스템학회 2000년도 춘계정기학술대회 e-Business를 위한 지능형 정보기술 / 한국지능정보시스템학회
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    • pp.475-478
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    • 2000
  • Recently encryption algorithms based on difficulties of factorization have been used with popularization. Prime number factorizations are progressed rapidly. In this paper, characteristics of elliptic curve are analyzed and generation of elliptic curves suitable for prime number factorization is discussed.

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CAD/CAE를 이용한 세선 성형용 필거밀 공정의 최적설계 (Optimum design of a pilger mill process for wire forming using CAD/CAE)

  • 정용수;박훈재;김승수;나경환;이형욱;한창수
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 2003년도 추계학술대회논문집
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    • pp.84-88
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    • 2003
  • In this paper, The optimum design of a die shape has been carried out the FEM analysis of a pilger mill process considering various factors. The pilger mill forming process consists of a pair of rotating die which has appropriate surface shape. The important design parameters of the pilger mill are the feed rate and the profile of grooved die. Optimum design procedure was performed in order to investigated effects on the forming load and the deformed shape of material depending on the die radius profile. Profile of the die surface for the optimum design were suggested with the linear, the cosine and the quadratic curve considering a physical forming process. The surface of each die was modeled using the 3DAutoCAD and the analysis of pilger forming process was performed using the LS-DYNA3D. The optimum profile of the die shape for the pilger mill was determined to the quadratic profile. Since the analysis results provide that the model of the quadratic profile gives the lowest forming load and a proper deformed shape.

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윤곽 가공을 위한 삼각 스플라인을 이용한 오프셋 곡선의 생성 (Offsetting Curves Using Trigonometric Splines for Contour Cutting)

  • 고구용;윤재득;정융호
    • 한국CDE학회논문집
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    • 제15권4호
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    • pp.253-260
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    • 2010
  • This paper presents algorithms for computing offsets of freeform curves. The approach first divides the original curve into several segments at the inflexion points. Based on the obtained new control polygon and its offsets, quadratic trigonometric splines are constructed to approximate the offset curves. Finally, the shape parameter value of trigonometric spline is determined to satisfy the required tolerance. The degree of the output curve is two, independent of the original curve's degree. Because of the great controllability, the proposed method can generate a completely overestimating offset curve by adjusting the value of the shape parameter, which guarantees no overcutting in NC machining. Furthermore, it also produces the lowest number of control points compared with other works.

사범대학의 이차곡선 영역 교육에 대한 교수 및 교사의 인식 (The Perception of the Professors and Teachers about the Education on Quadratic Curves in Various Universities)

  • 이승훈;조완영
    • 대한수학교육학회지:학교수학
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    • 제16권4호
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    • pp.827-845
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    • 2014
  • 본 연구의 목적은 이차곡선에 관한 대학교 사범대학 수학교육과의 교육이 고등학교 교육과정과 관련하여 어떻게 이루어지고 있는지, 이에 대한 교수, 교사, 예비교사의 인식은 어떠한지에 대하여 알아보는 것이다. 이를 위해 3개 대학의 수학교육과와 1개 고등학교를 선정하여, 이차곡선이 강의되는 강좌의 강의담당 교수와 그 강좌를 수강했던 예비교사, 그리고 경기도 소재 1개 고등학교의 수학교사를 대상으로 교육내용과 이에 대한 인식에 관한 연구를 수행하였다. 본 연구의 결과는 다음과 같다. 첫째, 이차곡선에 관한 사범대학 교육과정은 고등학교 교육과정과 관련하여 적절하게 운영되고 있는 것으로 판단된다. 사범대학 교육과정에는 이차곡선에 관한 내용이 강의되는 강좌가 포함되어 있으며, 그 강좌에서 이차곡선에 관한 학교수학과 연결된 학문적 수학 내용이 충분히 강의되고 있으며, 그 강의를 수강한 학생들의 66.1%가 이차곡선에 관한 이해도가 좋아졌다고 인식했으며, 현직교사들 또한 대부분의 내용에 대하여 필요한 것으로 인식하고 있다. 둘째, 사범대학 교육과정에서 실제 고등학교 교육 현장과의 연결성 강화가 요구된다. 사범대학 교육과정에서 배우는 이차곡선에 관한 내용은 고등학교 교육과정과의 관련성이 크고, 사범대학에서 이에 대하여 배울 필요성 또한 큰 것으로 인식하고 있지만, 사범대학에서 학습하는 내용들이 현장에서의 활용과는 유리되어 배우고 있다는 인식과 함께 이에 대한 개선의 필요성을 느끼고 있다. 셋째, 이차곡선에 관한 내용지식의 범위를 학교수학과 연결된 학문적 수학의 범위로 확대하려는 자발적 노력을 촉진, 장려하는 제도적 장치의 마련과 지원이 요구된다.

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점 집합의 보로노이 다이어그램을 이용한 원 집합의 보로노이 다이어그램의 계산: II.기하학적 측면 (The Computation of the Voronoi Diagram of a Circle Set Using the Voronoi Diagram of a Point Set: II. Geometry)

  • 김동욱;김덕수;조동수
    • 한국CDE학회논문집
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    • 제6권1호
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    • pp.31-39
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    • 2001
  • Presented in this paper are algorithms to compute the positions of vertices and equations of edges of the Voronoi diagram of a circle set. The circles are located in a Euclidean plane, the radii of the circles are not necessarily equal and the circles are not necessarily disjoint. The algorithms correctly and efficiently work when the correct topology of the Voronoi diagram was given. Given three circle generators, the position of the Voronoi vertex is computed by treating the plane as a complex plane, the Z-plane, and transforming it into another complex plane, the W-plane, via the Mobius transformation. Then, the problem is formulated as a simple point location problem in regions defined by two lines and two circles in the W-plane. And the center of the inverse-transformed circle in Z-plane from the line in the W-plane becomes the position of the Voronoi vertex. After the correct topology is constructed with the geometry of the vertices, the equations of edge are computed in a rational quadratic Bezier curve farm.

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