• Title/Summary/Keyword: 수학적모델링

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A-priori Comparative Assessment of the Performance of Adjustment Models for Estimation of the Surface Parameters against Modeling Factors (표면 파라미터 계산시 모델링 인자에 따른 조정계산 추정 성능의 사전 비교분석)

  • Seo, Su-Young
    • Spatial Information Research
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    • v.19 no.2
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    • pp.29-36
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    • 2011
  • This study performed quantitative assessment of the performance of adjustment models by a-priori analysis of the statistics of the surface parameter estimates against modeling factors. Lidar, airborne imagery, and SAR imagery have been used to acquire the earth surface elevation, where the shape properties of the surface need to be determined through neighboring observations around target location. In this study, parameters which are selected to be estimated are elevation, slope, second order coefficient. In this study, several factors which are needed to be specified to compose adjustment models are classified into three types: mathematical functions, kernel sizes, and weighting types. Accordingly, a-priori standard deviations of the parameters are computed for varying adjustment models. Then their corresponding confidence regions for both the standard deviation of the estimate and the estimate itself are calculated in association with probability distributions. Thereafter, the resulting confidence regions are compared to each other against the factors constituting the adjustment models and the quantitative performance of adjustment models are ascertained.

Process Modeling System of a Combined Cycle Plant for Steady State Simulation with Model Based Approach (수학적 모델링 방법에 기초한 복합발전 공정의 정상상태 모사시스템 개발)

  • Kim, Shin Hyuk;Hwang, Lee Si;Joo, Yong Jin;Lee, Sang Uk;Shon, Byung Mo;Oh, Min
    • Korean Chemical Engineering Research
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    • v.53 no.5
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    • pp.545-552
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    • 2015
  • Process modeling and simulation is a powerful methodology to quantitatively predict the change of process variables when operating and design conditions are changed. In this study, considering drawbacks of currently used process simulator for combined cycle plants, we developed process modeling system equipped with an ease of use and flexibility for model development. For this purpose, the analysis of combined cycle processes was carried out and consequently, mathematical models and libraries were developed. Furthermore, in view of the fact that the level of the abstraction of process models depends on the purpose of simulation as well as the available data, simple and rigorous models were also developed for some important units. In use of reference combined plant, we executed process simulation using the developed modeling system and the comparison was made between the results of simulation and the reference data. Less than 1% marginal error was identified and we concluded that the modeling system can be applied for commercial combined cycle processes.

Modeling of Two-axis Miniature Fine Sun Sensor for Accuracy Improvement (정밀도 향상을 위한 2축 소형 정밀 태양센서의 모델링)

  • 윤미연;최정원;장영근;이병훈
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.34 no.7
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    • pp.71-78
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    • 2006
  • Sun sensors are frequently implemented by satellites for attitude sensing, due to its simple manufacturability and light weight. A modeling of sun sensors has an important effect on the accuracy of satellite attitude determination. This paper addresses a new modeling of a 2-axis miniature fine sun sensor with improved accuracy. Unlike other previous algebraic modeling methods, the newly suggested physical modeling method takes into account the shadowing effect of the slit thickness. It was shown that a newly proposed sun sensor modeling provides a substantial accuracy improvement of 29% compared to the generic algebraic modeling. The proposed sensor modeling was validated using 2-axis fine sun sensors with FOV(Field of View) of ${\pm}60^{\circ}$ mounted on HAUSAT-2 small satellite, currently under development by SSRL(Space System Research Lab.) at Hankuk Aviation University, Korea.

Fuzzy System Modeling Using New Hierarchical Structure (새로운 계층 구조를 이용한 퍼지 시스템 모델링)

  • 김도완;김문환;주영훈;박진배
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2002.05a
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    • pp.127-130
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    • 2002
  • 본 논문은 수학적으로 모델링하기 어려운 비선형 시스템을 위한 새로운 계층적 규칙 기반 퍼지 시스템 모델링 기법을 제안한다. 제안된 기법은 퍼지 규칙 기반 구조를 상위 규칙 기반과 하위 규칙 기반으로 나누어 계층화 시키는 것이다 계층적 퍼지 규칙을 적용함으로써 퍼지 규칙을 효율적이고 논리적으로 이용할 수 있다. 퍼지 규칙의 효율적, 논리적 사용은 퍼지 시스템의 정확성을 높일 수 있고 구조를 명료화 시킬 수 있다. 유전 알고리즘은 제안된 퍼지 규칙의 파라미터 최적화 과정에 이용된다. 가스로 데이터에 대한 퍼지 모델링 결과를 통해서 제안된 기법의 타당성 및 효용성을 검증하고 타 기법의 결과와 비교한다.

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Mathematical Modeling of Energy Management and Packet Scheduling to Guarantee QoS of Multi-level Priority Packets in Energy Harversting Sensors Networks (에너지 수급 센서망에서 다중 우선순위 패킷의 QoS를 보장하는 에너지 관리 및 패킷 스케쥴링 기법의 수학적 모델링)

  • Kim, Sung-Ryul;Yoo, Young-Hwan
    • Proceedings of the Korean Information Science Society Conference
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    • 2012.06d
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    • pp.216-218
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    • 2012
  • 최근 센서 네트워크의 제약적 전력 공급 문제를 해결하기 위한 하나의 방법으로 에너지 수급 센서 기술이 연구되고 있다. 에너지 수급 센서의 수급 효율은 가변적인 환경에 의존하기 때문에 수급률을 고려한 저전력 통신 기법이 요구된다. 또한 다중 우선순위 데이터가 존재하는 네트워크에선 에너지 수급률과 배터리 잔량을 고려한 차별적인 데이터 처리가 필요하다. 이에 본 논문에서는 각 계층들이 에너지 소모에 미치는 영향을 고려하며 동시에 높은 우선순위 데이터의 빠른 처리를 가능하게 하는 패킷 스케쥴링 기법 및 에너지 관리 방법을 제안하고 이를 수학적 모델링을 통해 분석할 것이다.

Mathematical Modeling of Two-Dimensional Diffraction Analysis in Anisotropic Media (비등방성 매질에서의 2차원적 회절현상의 수학적 모델링)

  • Chung, Yeong-Jee;Jin,
    • The Journal of the Acoustical Society of Korea
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    • v.7 no.4
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    • pp.86-97
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    • 1988
  • 본 논문에서는 비등방성 매질에서의 2차원적 회절현상을 수학적으로 모델링하였다. 비등방성 매질의 2차 포물선 근사법과 프레즈넬 근사법을 적용하기 위하여 전파방향에 따른 표면파 속도의 역수를 포물선으로 가정하였다. 128${\circ}$ Rotated $LiNbO_{3}$ 기판을 사용한 SAW IF Bandpass Filter에서의 회절현상을 모의 설계하여 그 결과를 회절현상이 없는 이상적인 경우와 비교하였다. 또한 전산화 모의 설계 결과와 실제로 제작된 SAW Filter 특성결과를 비교하여 $LiNbO_{3}$ 기판을 사용한 SAW Filter에서도 프레즈넬 근사법이 대체적으로 일치하는 것을 알 수 있었다.

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An analysis of U.S. pre-service teachers' modeling and explaining 0.14m2 (넓이 0.14m2에 대한 미국 예비교사들의 모델링과 설명 분석)

  • Lee, Ji-Eun;Lim, Woong
    • The Mathematical Education
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    • v.58 no.3
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    • pp.367-381
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    • 2019
  • This investigation engaged elementary and middle school pre-service teachers in a task of modeling and explaining the magnitude of $0.14m^2$ and examined their responses. The study analyzed both successful and unsuccessful responses in order to reflect on the patterns of misconceptions relative to pre-service teachers' prior knowledge. The findings suggest a need to promote opportunities for pre-service teachers to make connections between different domains through meaningful tasks, to reason abstractly and quantitatively, to use proper language, and to refine conceptual understanding. While mathematics teacher educators (MTEs) could use such mathematical tasks to identify the mathematical content needs of pre-service teachers, MTEs generally use instructional time to connect content and pedagogy. More importantly, an early and consistent exposure to a combined experience of mathematics and pedagogy that connects and deepens key concepts in the program's curriculum is critical in defining the important content knowledge for K-8 mathematics teachers.