• Title/Summary/Keyword: 한국 수학

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Experimental Evaluation of Levitation and Imbalance Compensation for the Magnetic Bearing System Using Discrete Time Q-Parameterization Control (이산시간 Q 매개변수화 제어를 이용한 자기축수 시스템에 대한 부상과 불평형보정의 실험적 평가)

  • ;Fumio Matsumura
    • Journal of KSNVE
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    • v.8 no.5
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    • pp.964-973
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    • 1998
  • In this paper we propose a levitation and imbalance compensation controller design methodology of magnetic bearing system. In order to achieve levitation and elimination of unbalance vibartion in some operation speed we use the discrete-time Q-parameterization control. When rotor speed p = 0 there are no rotor unbalance, with frequency equals to the rotational speed. So in order to make levitatiom we choose the Q-parameterization controller free parameter Q such that the controller has poles on the unit circle at z = 1. However, when rotor speed p $\neq$ 0 there exist sinusoidal disturbance forces, with frequency equals to the rotational speed. So in order to achieve asymptotic rejection of these disturbance forces, the Q-parameterization controller free parameter Q is chosen such that the controller has poles on the unit circle at z = $exp^{ipTs}$ for a certain speed of rotation p ( $T_s$ is the sampling period). First, we introduce the experimental setup employed in this research. Second, we give a mathematical model for the magnetic bearing in difference equation form. Third, we explain the proposed discrete-time Q-parameterization controller design methodology. The controller free parameter Q is assumed to be a proper stable transfer function. Fourth, we show that the controller free parameter which satisfies the design objectives can be obtained by simply solving a set of linear equations rather than solving a complicated optimization problem. Finally, several simulation and experimental results are obtained to evaluate the proposed controller. The results obtained show the effectiveness of the proposed controller in eliminating the unbalance vibrations at the design speed of rotation.

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FEM Electrical Resistivity Modeling in Cylindrical Coordinates (원통 좌표계에서의 전기비저항 유한요소 모델링)

  • Choi Wonseok;Kim Jung-Ho;Park KwonGyu;Kim Hak-Soo;Suh Jung-Hee
    • Geophysics and Geophysical Exploration
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    • v.5 no.3
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    • pp.206-216
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    • 2002
  • The finite element method (FEM), a powerful numerical modeling tool for solving various engineering problems, is frequently applied to three-dimensional (3-D) modeling thanks to its capability of discretizing and simulating the shape of model with finite number of elements. Considering the accuracy of the solution and computing time in modeling of engineering problems, it is preferable to construct physical continuity and simplify mesh system. Although there exist systematic mesh generation systems for arbitrary shaped model, it is hard to model a simple cylinder in terms of 3-D coordinate system especially in the vicinity of the central axis. In this study I adopt cylindrical coordinate system for modeling the 3-D model space and define the origin of the coordinates with mathematically clear coordinate transformation. Since we can simulate the whole space with hexahedral elements, the cylindrical coordinate system is effective in handling the 3-D model structure. The 3-D do resistivity modeling scheme developed in this study provides basie principle for borehole-to-surface resistivity survey, which can be a useful tool for the application to environmental problem.

Out-of-Pile Test for Yielding Behavior of PWR Fuel Cladding Material (노외 실험을 통한 가압경수형 핵연료 피복재의 항복거동연구)

  • Yi, Jae-Kyung;Lee, Byong-Whi
    • Nuclear Engineering and Technology
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    • v.19 no.1
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    • pp.22-33
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    • 1987
  • The confirmed integrity of nuclear fuel cladding materials is an important object during steady state and transient operations at nuclear power plant. In this context, the clad material yielding behavior is especially important because of pellet-clad gap expansion. During the steep power excursion, the in-pile irradiation behavior differences between uranium-dioxide fuel pellet and zircaloy clad induce the contact pressure between them. If this pressure reaches the zircaloy clad yield pressure, the zircaloy clad will be plastically deformed. After the reactor power resumed to normal state, this plastic permanent expansion of clad tube give rise to the pellet-clad gap expansion. In this paper, the simple mandrel expansion test method which utilizes thermal expansion difference between copper mandrel and zircaloy tube was adopted to simulate this phenomenon. That is, copper mandrel which has approximately three times of thermal expansion coefficient of zircaloy-4 (PWR fuel cladding material) were used in this experiment at the temperature range from 400C to 700C. The measured plastic expansion of zircaloy outer radius and derived mathematical relations give the yield pressure, yield stress of zircaloy-4 clad at the various clad wall temperatures, the activation energy of zircaloy tube yielding, and pellet-clad gap expansion. The obtained results are in good agreement with previous experimental results. The mathematical analysis and simple test method prove to be a reliable and simple technique to assess the yielding behavior and gap expansion measurement between zircaloy-4 tube and uranium-dioxide fuel pellet under biaxial stress conditions.

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A RFID Tag Anti-Collision Algorithm Using 4-Bit Pattern Slot Allocation Method (4비트 패턴에 따른 슬롯 할당 기법을 이용한 RFID 태그 충돌 방지 알고리즘)

  • Kim, Young Back;Kim, Sung Soo;Chung, Kyung Ho;Ahn, Kwang Seon
    • Journal of Internet Computing and Services
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    • v.14 no.4
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    • pp.25-33
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    • 2013
  • The procedure of the arbitration which is the tag collision is essential because the multiple tags response simultaneously in the same frequency to the request of the Reader. This procedure is known as Anti-collision and it is a key technology in the RFID system. In this paper, we propose the 4-Bit Pattern Slot Allocation(4-BPSA) algorithm for the high-speed identification of the multiple tags. The proposed algorithm is based on the tree algorithm using the time slot and identify the tag quickly and efficiently through accurate prediction using the a slot as a 4-bit pattern according to the slot allocation scheme. Through mathematical performance analysis, We proved that the 4-BPSA is an O(n) algorithm by analyzing the worst-case time complexity and the performance of the 4-BPSA is improved compared to existing algorithms. In addition, we verified that the 4-BPSA is performed the average 0.7 times the query per the Tag through MATLAB simulation experiments with performance evaluation of the algorithm and the 4-BPSA ensure stable performance regardless of the number of the tags.

A Study on Performance Improvement of Fruit Vegetables Automatic Grafting System (과채류 접목시스템 개선 연구)

  • Kang, Dong Hyeon;Lee, Si Young;Kim, Jong Koo;Park, Min Jung;Son, Jin Kwan;Yun, Sung-Wook;An, Se Woong;Jung, In Kyu
    • Journal of Bio-Environment Control
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    • v.26 no.3
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    • pp.215-220
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    • 2017
  • This study was conducted to improve the insufficiency of fruit vegetable grafting system developed by National Institute of Agricultural Sciences, Rural Development Administration. When the rotary blade cut the stem of scions and rootstocks, the grafting failure at curved cutting surfaces happened. The cutting depth of a tomato seedling by a rotated cutter was calculated 0.11 mm even when the cutting arm length and the maximum stem diameter were 50 mm and 5 mm, respectively. Mathematical analysis and high-speed photography showed that there was no problem by cutting in straight the stem of scions and rootstocks. The compression test of seedling stems to design the optimal shape of gripper showed that stems were not completely restored when they were compressed above 0.8 mm and 0.6 mm in case of rootstocks and scion, respectively. This study found that the bending angle of stem of tomato seedlings at the grafting period was 10 degree on average. The optimal gripper finger was the edge finger type which could be precisely set center point by adjusting the distance between fingers. In addition, it was found that most of seedling could be grasped without damage when the finger-to-finger distances is set to 2.5 mm for scion and 3.0 mm for rootstocks and finger are coated by 1 mm-thick flexible material.

Development of Enlightenment Activity Composition Program Based-on Web (웹을 기반으로 한 계발 활동 편성 프로그램 개발 -제7차 교육과정에서 ICT 활용에 관한 연구 : 특별활동을 중심으로-)

  • Lim, Kyoung-Hee;Yang, Kwon-Woo;Goh, Byung-Oh
    • Journal of The Korean Association of Information Education
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    • v.6 no.3
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    • pp.279-287
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    • 2002
  • These days, school education is making every possible effort to bring up a human able to opposed creatively to 21 century social, because of society is global and informational step by step. For this, the special activity in the seventh curriculum is expended and reorganized from three areas to five areas. On the other hand, the special activity is pushed ahead with the developmental activity in consideration of student's ability and aptitude. However, the teachers are difficult to organize of the developmental activity in based on student's ability and aptitude. Because of developmental activity is organized in the beginning of a term, not only the teachers are fallen to realize student's ability and aptitude but also students ignore ability and aptitude themselves. Therefore this paper designs a program based on MI(Multiple Intelligence) theory to compose developmental activity effectively. Up to now, MI is introduced nine kinds of intelligence, Linguistic Intelligence, Logical-Mathematical Intelligence, Musical Intelligence, Spatial Intelligence, Bodily-Kinesthetic Intelligence, Interpersonal Intelligence, Intrapersonal Intelligence, Naturalist Intelligence, and Existentialist intelligence. this paper designs the K-MIDAS test[1] based on seven kinds of intelligence areas and implements developmental activity program suit to student's ability and aptitude based on the MI test result.

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A Study of STEAM Education for Elementary Science Subject with Robots (교육용 로봇을 활용한 초등학교 과학교과의 STEAM교육 수업 방안)

  • Hong, Ki-Cheon;Shim, Jae-Kuk
    • Journal of The Korean Association of Information Education
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    • v.17 no.1
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    • pp.83-91
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    • 2013
  • The Ministry of Education issues STEAM education as a part of convergence. Most important is "How to achieve goals of STEAM education". The goal of this paper searches possibilities that robot is a good tool for STEAM education. The main topic is photosynthesis unit as circumstantiation and "Deep sea exploration robot", is creative activity, in elementary science subject. Students complete 13 basic course about robot, then accomplish subject-oriented 10 robot application course about above topic. Basic course contains math and science elements that students learn in regular curriculum. Application course is organized following steps, photosynthesis with oxygen sensors, brainstorming, idea derivation, robot design, robot construction, demo and presentation and so on. These courses have elements of STEAM. Finally teacher has face-to-face meeting with parents and students. Most have positive aspects about this process in terms of creativity, study attitude, and school life. Specially low-ranking students win a prize in robot competition. So they can gain confidence and accomplishment. This paper don't show statistic chart, but we surely knew that robot education for STEAM education seriously affect creativity huminity and job search.

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A Study on TDMG Pulse Performance and Structure for Performance Improvement of UWB system (UWB 시스템의 성능개선을 위한 TDMG 펄스 발생기의 성능과 구조에 관한 연구)

  • Ko, Young-Eun;Bang, Sung-Il
    • The KIPS Transactions:PartC
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    • v.11C no.3
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    • pp.395-400
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    • 2004
  • Being aware of growing needs for wireless communication led to the development of UWB systems, this study proposed an impulse for single band UWB systems which does not count a carrier; analyzed the characteristics and the problems of pulses suggested by the existing poise of the Un system; finally, proposed TDMG(Time Delay Multiple Gaussian) pulse that generates signals of UWB without attenuation of pulse width. The hardware structure of the TDMC pulse for the single band UWB system was modelled after describing the pulse in a mathematical method in an attempt to compare with performances of the existing pulses through computer simulation. The outcome of the test unveiled the fact that each center frequency of the TDMG pulse rose approximately 1GHz, and also each l0dB fractional bandwidth of the TDMG pulse was widened over 1GHz. In the case of derivative, center frequencies of the TDMG pulse rose over 1GHz each. As a consequence, the TDMG pulse appeared to have better quality frequency, satisfying the characteristics of spectrum and the band of frequency recommended by the FCC and decreasing interference with other wireless communication systems.

Modeling of the Cycle Life of a Lithium-ion Polymer Battery (리튬 이온 폴리머 전지의 사이클 수명 모델링)

  • Kim, Ui Seong;Lee, Jungbin;Yi, Jaeshin;Shin, Chee Burm;Choi, Je Hun;Lee, Seokbeom
    • Korean Chemical Engineering Research
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    • v.47 no.3
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    • pp.344-348
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    • 2009
  • One-dimensional modeling was carried-out to predict the capacity loss of a lithium-ion polymer battery during cycling. The model not only accounted for electrochemical kinetics and ionic mass transfer in a battery cell, but also considered the parasitic reaction inducing the capacity loss. In order to validate the modeling, modeling results were compared with the measurement data of the cycling behaviors of the lithium-ion polymer batteries having nominal capacity of 5Ah from LG Chem. The cycling was performed under the protocol of the constant current discharge and the constant current and constant voltage charge. The discharge rate of 1C was used. The range of state of charge was between 1 and 0.2. The voltage was kept constant at 4.2 V until the charge current tapered to 50 mA. The retention capacity of the battery was measured with 1C and 5C discharge rates before the beginning of cycling and after every 100 cycles of cycling. The modeling results were in good agreement with the measurement data.

The Learning Effect of Test that Worked Examples Used as Options (풀이 과정을 답지로 이용한 시험 방식의 학습 효과)

  • Lim, Jeong-Man;Park, Joo-Yong
    • Korean Journal of Cognitive Science
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    • v.21 no.4
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    • pp.627-653
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    • 2010
  • The present study proposes and examines a new type of multiple-choice math test. In this format, the options are the intermediate derivatives of the math problem solution process rather than the final answers. This idea originates from the studies on the effect of worked-out examples. In these studies, it has been shown that students learn better when they were presented with worked-out examples than when presented with final answers by themselves. In line with these findings, we introduced the intermediate derivatives of the solution process as the options of multiple-choice items so that the test-taker will have a chance to examine the solution process. The test was implemented as a computerized test in which students can solve problems in a short answer format, and then pick a multiple-choice option which appears when requested. The experimental group had multiple-choice options which were intermediate derivatives of the solution process, and the control group had the final answers as the options as in most multiple-choice tests. The participants were 6th graders in elementary school. The posttest results revealed that the average score of the experimental group was higher than that of the control group. The results suggest that tests that use intermediate derivatives of the problem solution process as options can be used as learning tools in the classrooms. Finally, directions for further studies were discussed.

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