• Title/Summary/Keyword: Curve generation method

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Generation of Discrete $G^1$ Continuous B-spline Ship Hullform Surfaces from Curve Network Using Virtual Iso-parametric Curves

  • Rhim, Joong-Hyun;Cho, Doo-Yeoun;Lee, Kyu-Yeul;Kim, Tae-Wan
    • Journal of Ship and Ocean Technology
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    • v.10 no.2
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    • pp.24-36
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    • 2006
  • Ship hullform is usually designed with a curve network, and smooth hullform surfaces are supposed to be generated by filling in (or interpolating) the curve network with appropriate surface patches. Tensor-product surfaces such as B-spline and $B\'{e}zier$ patches are typical representations to this interpolating problem. However, they have difficulties in representing the surfaces of irregular topological type which are frequently appeared in the fore- and after-body of ship hullform curve network. In this paper, we proposed a method that can automatically generate discrete $G^1$ continuous B-spline surfaces interpolating given curve network of ship hullform. This method consists of three steps. In the first step, given curve network is reorganized to be of two types: boundary curves and reference curves of surface patches. Especially, the boundary curves are specified for their surface patches to be rectangular or triangular topological type that can be represented with tensor-product (or degenerate) B-spline surface patches. In the second step, surface fitting points and cross boundary derivatives are estimated by constructing virtual iso-parametric curves at discrete parameters. In the last step, discrete $G^1$ continuous B-spline surfaces are generated by surface fitting algorithm. Finally, several examples of resulting smooth hullform surfaces generated from the curve network data of actual ship hullform are included to demonstrate the quality of the proposed method.

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
    • Proceedings of the Korea Inteligent Information System Society Conference
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    • 2000.04a
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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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Convolution-based Desired Trajectory Generation Method Considering System Specifications (시스템 사양을 고려한 컨볼루션 기반 목표궤적 생성 방법)

  • Lee, Geon;Choi, Young-Jin;Kim, Jin-Hyun
    • Journal of Institute of Control, Robotics and Systems
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    • v.16 no.10
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    • pp.997-1005
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    • 2010
  • Most motion control systems consist of a desired trajectory generator, a motion controller such as a conventional PID controller, and a plant to be controlled. The desired trajectory generator as well as the motion controller is very important to achieve a good tracking performance. Especially, if the desired trajectory is generated actively utilizing the maximum velocity, acceleration, jerk and snap as given system specifications, the tracking performance would be better. For this, we make use of the properties of convolution operator in order to generate a smooth (S-curve) trajectory satisfying the system specifications. Also, the proposed trajectory generation method is extended to more general cases with arbitrary initial and terminal conditions. In addition, the suggested trajectory generator can be easily realized for real-time implementation. Finally, the effectiveness of the suggested method is shown through numerical simulations.

Generation Method of Bezier Curves and Surfaces on Lie Groups (Lie-군상에서의 Bezier 곡선과 Bezier곡면의 생성방법)

  • Im, Jang-Hwan;Kim, Tae-Eun
    • The KIPS Transactions:PartA
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    • v.9A no.1
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    • pp.99-104
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    • 2002
  • The goal of this paper is to generalize the concept of Bezier curves and surfaces defined on the vector space $R_n$ to Lie groups, which is a new generation method of curves (called Bezier curves) on Lie groups. The defined Bezier curves and surfaces are alsways smooth because of the properties of Lie groups. We apply this method to smooth motion interpolation or smooth trajectory generation for moving rigid body in space.

Development of ESS Scheduling Algorithm to Maximize the Potential Profitability of PV Generation Supplier in South Korea

  • Kong, Junhyuk;Jufri, Fauzan Hanif;Kang, Byung O;Jung, Jaesung
    • Journal of Electrical Engineering and Technology
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    • v.13 no.6
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    • pp.2227-2235
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    • 2018
  • Under the current policies and compensation rules in South Korea, Photovoltaic (PV) generation supplier can maximize the profit by combining PV generation with Energy Storage System (ESS). However, the existing operational strategy of ESS is not able to maximize the profit due to the limitation of ESS capacity. In this paper, new ESS scheduling algorithm is introduced by utilizing the System Marginal Price (SMP) and PV generation forecasting to maximize the profits of PV generation supplier. The proposed algorithm determines the charging time of ESS by ranking the charging schedule from low to high SMP when PV generation is more than enough to charge ESS. The discharging time of ESS is determined by ranking the discharging schedule from high to low SMP when ESS energy is not enough to maintain the discharging. To compensate forecasting error, the algorithm is updated every hour to apply the up-to-date information. The simulation is performed to verify the effectiveness of the proposed algorithm by using actual PV generation and ESS information.

Development of a Numerical Analysis Method for the Outage Cost Assessment at Load Points (부하지점별 공급지장비추정을 위한 수치해석적 방법의 개발)

  • Choi, Jae-Seok;Kim, Hong-Sik;Moon, Seung-Pil;Kang, Jin-Jong;Kim, Ho-Yong;Park, Dong-Wook
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.49 no.11
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    • pp.549-557
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    • 2000
  • This study proposes a new numerical analysis method for assessing the outage cost of the composite power system with considering transmission system at load points. The proposed method comes from combination of the expected energy not served curve(EENSC) with the marginal outage cost function obtained at load points. Uncertainty of the outages of the generation and transmission systems was also included in this study. This study can be categorized into three processing parts as like as follows. Firstly, EENSC at load points was developed newly from the composite power system effective load duration curve which has been proposed by the authors. Secondly, this study proposes a new technical method for determining the coefficients of the marginal outage cost functions at load points in the composite power system(Generation and Transmission systems). It is a main key point that the mathematical expression for the marginal outage cost function at a load point is formulated and evaluated using relations between the GNP (or GDP) and the electrical energy demand at the load pint. Finally, the outage cost was calculated in this paper by combining the proposed EENSC with the marginal outage cost function evaluated at each load point. It is another important feature that the average costs for future at load points can be forescasted using the proposed approach. The effectiveness of the proposed new approach is demonstrated by the case studies with the IEEE-RTS.

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A study on the V-I tracer to abstract the characteristic parameter of solar cell (Solar cell 특성 parameter 추출용 V-I tracer에 관한 연구)

  • Park, Sang-Soo;Lee, Seok-Ju;Seo, Hyo-Ryong;Park, Min-Won;Yu, In-Keun
    • Proceedings of the KIEE Conference
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    • 2007.07a
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    • pp.1966-1967
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    • 2007
  • Photovoltaic(PV) power generation system [1-2] has been extensively studied and watched with keen interest as a clean and renewable power source. So hardware and software studies strongly indicate the feasibility of commercially producing a low cost, user-friendly solar cell curve tracer. Generally, V-I curve tracer indicates only the commonly used solar cell parameters. However, with the conventional V-I curve tracer it is almost impossible to abstract the more detail parameters of solar cell ; A, Rs, and Rsh, which satisfies the user, who aims at the analysis of the development PV power generation system; advanced simulation. In this paper, the proposed method gives us the satisfactory results to abstract the detail parameters of solar cell ; A, Rs, and Rsh

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A Novel Parameter Extraction Method for the Solar Cell Model (새로운 태양전지 모델의 파라미터 추출법)

  • Kim, Wook;Kim, Sang-Hyun;Lee, Jong-Hak;Choi, Woo-Jin
    • The Transactions of the Korean Institute of Power Electronics
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    • v.14 no.5
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    • pp.372-378
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    • 2009
  • With the increase in capacity of photovoltaic generation systems, studies are being actively conducted to improve system efficiency. In order to develop the high performance photovoltaic power system it is required to understand the physical characteristics of the solar cell. However, solar cell models have a non-linear form with many parameters entangled and conventional methods suggested to extract the parameters of the solar cell model require some kind of assumptions, which accompanies the calculation errors, thereby lowering the accuracy of the model. Therefore, in this paper a novel method is proposed to calculate the ideality factor and reverse saturation current of the solar cell from the I-V curve measured and announced by solar cell manufacturers, derive the ideal I-V curve, and then extract the series and shunt resistances value from the difference between the ideal and measured I-V curve. Also, validity of the proposed method is demonstrated by calculating the correlation between I-V curve based on modeling parameters and I-V curve actually measured through least squares method.

Investigation on the Description Method of Extrusion Die Surface using B-Spline Surface Scheme (B-스플라인 곡면기법을 이용한 압출금형 곡면의 표현방법에 관한 연구)

  • 유동진;임종훈
    • Transactions of Materials Processing
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    • v.12 no.2
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    • pp.142-150
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    • 2003
  • To construct the extrusion die surface, a B-Spline surface scheme based on the cubic B-Spline curve interpolation method is proposed in the present work. The inlet and outlet profiles are described with B-Spline curves by using the centripetal method for uniform parameterization. The interior control points of surface are generated using the derivative characteristics of B-Spline curve. A complete B-Spline surface is constructed by using appropriate coordinate transformation and knot deletion. In the present study, a quantitative measure for the control of surface is suggested by introducing the tangential vector and inclination angles at the inlet and outlet sections. To verify the validity of the proposed method, automatic surface generation is carried out for the various types of extrusion die surface.

Smooth Path Planning Method for Autonomous Mobile Robots Using Cardinal Spline (카디널스플라인을 이용한 자율이동로봇의 곡선경로 생성방법)

  • Yoon, Hee-Sang;Park, Tae-Hyoung
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.59 no.4
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    • pp.803-808
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    • 2010
  • We propose a smooth path planning method for autonomous mobile robots. Due to nonholonomic constraints by obstacle avoidance, the smooth path planning is a complicated one. We generate smooth path that is considered orientation of robot under nonholonomic constraints. The proposed smooth planning method consists of two steps. Firstly, the initial path composed of straight lines is obtained from V-graph by Dijkstra's algorithm. Then the initial path is transformed by changing the curve. We apply the cardinal spline into the stage of curve generation. Simulation results show a performance of proposed smooth path planning method.