• Proceedings of the KAIS Fall Conference
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• 2009.12a
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• pp.226-228
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• 2009

본 논문에서는 분산전원 시스템을 등가회로를 이용하여 수학적으로 모델링하고, 이를 결합하여 제어 가능한 시스템을 모델링하였다. 시뮬레이션과 실험 결과로부터, 선로 모의실험을 통한 고조파 해석을 IEEE Std 1547.1-2005의 고조파 연계 기준을 통하여 모델링의 적합유무를 판단할 수 있었다. 제시한 계통연계 태양광발전 시스템은 점차적으로 활성화되고 있는 태양광발전 시스템 계통연계 연구에 유용하게 활용될 것이다.

• Journal of the Korean Society for Aeronautical & Space Sciences
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• v.45 no.11
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• pp.939-950
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• 2017

In this work, mathematical models are newly presented for three types of double-acting oleo-pneumatic shock absorbers as the first part of a comparative study on the several types of double-acting oleo-pneumatic shock absorbers. After a typical single-acting shock absorber model is presented for the sake of completeness, mathematical models of three types of double-acting shock absorbers are proposed. To derive the models, Bernoulli equation and orifice discharge coefficient are utilized along with the assumptions of incompressibility and poly-tropic process. The proposed models are expected to be used for investigation of the salient features of several types of double-acting oleo-pneumatic shock absorbers.

• 대한공업교육학회지
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• v.34 no.2
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• pp.396-410
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• 2009

The goal of this work is to present an advanced method of an estimation of the Modeling Uncertainties coming up in industrial rigid robot's manipulator and actuators. First, with the given physical robot model, the motion equation was derived. Considering a fictitious model, a new extended motion equation is developed. Based on this extended model, an observer and observer bank are designed for the estimation of modeling uncertainties which are involving the effects of gravity, friction, mass unbalance, and Coriolis which show the nonlinear characteristics in operation states.

• Proceedings of the Korean Institute of Navigation and Port Research Conference
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• 2013.10a
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• pp.83-84
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• 2013

최근 다양한 시스템의 상태를 추정하는데 시스템의 운동 특성을 모델링하는 기법이 많이 연구되고 있다. 이 기법은 시스템의 운동 특성을 수학적으로 모델링하는 것으로 모델링의 정확도에 따라 시스템의 상태 추정 정확도에 많은 영향을 미치게 된다. 따라서 본 논문에서는 표적의 기동 특성을 모델링하고 표적의 현재와 과거의 상태를 이용하여 정의된 기동 모델 중 적합성을 판단하는 기법을 제시하며 시뮬레이션을 통하여 기동하는 표적의 모델을 정확하게 판단하는지를 검증하고자 한다.

• Journal of Educational Research in Mathematics
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• v.14 no.1
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• pp.39-69
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• 2004

This paper investigates the teaching and learning of Linear function relating functional contexts and suggests the improved methods of representation-shift through this analysis. The methods emphasize the link between students' preacquired knowledge of mathematical representations and the way of using those. This methods are explanatory teaching, teaching and teaming based on modelling perspectives or tasks (interpretation, prediction, translation and scaling). We categorize the 8th grade middle school students' errors on the linear function relating real contexts and make a comparative study of the error-remedial effects and the teaching and teaming methods. We present the results of a study in which representation-shift methods based on modelling perspectives and tasks are more effective in terms of flexible connection of representations and error remediation. Also, We describe how students used modelling perspective-taking to explain and justify their conceptual models, to assess the quality of their models and to make connection to other mathematical representation during the problem solving focusing on the students' self-diagnosis.

• Journal of the Korean Institute of Gas
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• v.2 no.1
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• pp.40-46
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• 1998

Mathematical modeling on the corrosion of the steel casing and main pipe due to the protection current resulting from a cathodic protection system was carried out using boundary element method. The model is consisted of Laplace's equation with non-linear boundary conditions(Tafel equations) and the iterative technique to determine the miexed potential of the steel casing. The model is applied to the normal steel casing section as well as abnormal one with defects such as metal touch and insulation defects. From the modeling procedure, we can calculate the potential distributions and current density distributions of the system. The theoretical results of the qualitatiive corrosion aspect along the steel casing and main pipe agree well with the experimental results within the experimental conditions studied.

• Transactions of the Korean Society of Mechanical Engineers B
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• v.36 no.2
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• pp.145-151
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• 2012

Evaluation of the heart work is starting to emerge as a new diagnostic tool for arterial diseases. The aim of this study is to develop a mathematical model for the estimation of heart work utilizing the pulse waves between two points of a vessel. In order to calculate heart work, medical data such as blood pressure waveforms (which are measured using a cuff) are utilized. The heart work is calculated by employing the modified Windkessel model together with the viscosity models of Casson or Herschel-Bulkely (H-B). The results indicate that the compliance values at the proximal and distal locations differ for the Casson and H-B models.

• Proceedings of the Korea Information Processing Society Conference
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• 2015.10a
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• pp.1065-1067
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• 2015

시스템 모델링은 규모와 크기에 따라서 방법이 모두 다르며, 시스템 요구사항에 따라서 설계를 하는 방법이다. 하지만 현재까지의 기법은 개별적인 방법만 고려했기 때문에 시스템 요구사항의 모든 것을 적용하기 어려운 단점이 있다. 따라서 요구사항에 따른 시스템의 완성도를 높이기 위해서는 복합적인 모델링 방법의 접근이 필요하다. 본 논문에서는 절차지향 및 객체지향 모델링 방법에 대한 접근을 통합 할 수 있는 DEVS기반 하이브리드 모델링 기법에 대해 제안한다. 제안하는 기법은 프로세스와 객체와의 관계를 계층형으로 구조화 시킬 수 있으며, 수학적 명세가 가능하다. 또한, 하이브리드 모델링의 시뮬레이션을 위한 분산처리 환경에서 DEVS 기반 하이브리드 시뮬레이션에 대해 제안을 한다. 제안하는 모델을 통해서 복잡한 시스템에 대한 명세와 검증이 가능하다.

• Journal of the Korea Academia-Industrial cooperation Society
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• v.21 no.5
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• pp.516-522
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• 2020

Water trees can cause considerable damage to the performance of underground cables. Theymay formwithin the dielectric used in buried or water-immersed high voltage cables. They grow in a bush-like or tree-like form, often taking decades before causing damage to a cable's performance. They are usually found on very old underground cables, often in an inaccessible place. It is costly and time-consuming to detect watertrees in underground cables. Tree detection technology, including mathematical modeling,can reduce the maintenance cost and time necessary for detecting these trees.To simulate detection of water trees in this study, a mathematical model ofan XLPE cable and a water tree were developed. The complex water tree structure was simplified, based on two identified patterns of aventedtree. A Matlab simulation was performed to calculate and analyze the capacitance and resistance of a cable insulation layer,based on growth of a watertree. Capacitance size increased about 0.025×10^-13[Farads/mm] compared to normal when the tree area of the cable was advanced to 95% of the insulation layer. The resistance value decreased by about 0.5×10¹⁶[ohm/m]. These changesand changesshowninaBurkes paper physical modeling simulation are similar.The value of mathematical modeling for detecting water trees and damage to underground cables has been demonstrated.

• The Mathematical Education
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• v.57 no.4
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• pp.371-391
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• 2018

The purpose of this study is to analyze manifestation examples and effects of group creativity in mathematical modeling and to discuss teaching and learning methods for group creativity. The following two points were examined from the theoretical background. First, we examined the possibility of group activity in mathematical modeling. Second, we examined the meaning and characteristics of group creativity. Six students in the second grade of high school participated in this study in two groups of three each. Mathematical modeling task was "What are your own strategies to prevent or cope with blackouts?". Unit of analysis was the observed types of interaction at each stage of mathematical modeling. Especially, it was confirmed that group creativity can be developed through repetitive occurrences of mutually complementary, conflict-based, metacognitive interactions. The conclusion is as follows. First, examples of mutually complementary interaction, conflict-based interaction, and metacognitive interaction were observed in the real-world inquiry and the factor-finding stage, the simplification stage, and the mathematical model derivation stage, respectively. And the positive effect of group creativity on mathematical modeling were confirmed. Second, example of non interaction was observed, and it was confirmed that there were limitations on students' interaction object and interaction participation, and teacher's failure on appropriate intervention. Third, as teaching learning methods for group creativity, we proposed students' role play and teachers' questioning in the direction of promoting interaction.