• Title/Summary/Keyword: simple derivation

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The Integration of Automatic Width Control and Gap Control Systems in Hot Plate Mills (열간 압연공정에서 판폭과 판두께의 통합제어)

  • 김병만;조형석
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.327-327
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    • 2000
  • Derivation of a slab dimension from the desired tolerance degrades the product quality, resulting in significant yield loss by trimming. This necessitates the dimensional control system to be operated in tighter dimensional accuracy. This paper presents an integral approach to a dimensional control system design taking into account the interaction between the edging process and the gap rolling process. To investigate the effects of each process controller, a simple PID controller is adopted as a preliminary study. The control performance is analyzed in detail in terms of the system response accuracy for various operating conditions.

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DERIVATIONS OF A RESTRICTED WEYL TYPE ALGEBRA ON A LAURENT EXTENSION

  • Choi Seul-Hee
    • Communications of the Korean Mathematical Society
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    • v.21 no.2
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    • pp.227-236
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    • 2006
  • Several authors find all the derivations of an algebra [1], [3], [7]. A Weyl type non-associative algebra and its sub algebra are defined in the paper [2], [3], [10]. All the derivations of the non-associative algebra $\overline{WN_{0,0,s1}$ is found in this paper [4]. We find all the derivations of the non-associative algebra $\overline{WN_{0,s,01}$ in this paper [5].

A Study on the Contactless Transportation of Electrostatically-suspended Plates (정전기력에 의해 지지된 판상체의 비접촉반송에 관한 연구)

  • Chung, Il-Jin;Jeon, Jong-Up
    • Journal of the Korean Society for Precision Engineering
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    • v.22 no.12 s.177
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    • pp.34-41
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    • 2005
  • There is a strong demand fur the contactless transportation device fur a hard disk and silicon wafer without contaminating and damaging them. To fulfill this requirements, A transportation device fur them has been proposed. But the device needs many of costly displacement sensors positioned along the transportation interval and possesses a very complicated controller and driving scheme. To overcome those kinds of drawback, in this paper, we present a very simple and cost-effective transportation device which only consists of a linear guide, very simple electrostatic suspension system and driving circuit of stepping motor. The principle of stable suspension by relay feedback control, derivation of lateral restoring force, the design of transportation system are described, fellowed by the experimental system. Experimental results show that a 3.5-inch hard disk has been transported with a speed of approximately 20mm/s while being suspended stably at a gap of 0.25mm.

A Simple Matrix Factorization Approach to Fast Hadamard Transform (단순한 메트릭스계승 접근에 의한 고속아다마르변환)

  • Lee, Moon-Ho;Ahn, Seung-Choon
    • Journal of the Korean Professional Engineers Association
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    • v.20 no.1
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    • pp.14-20
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    • 1987
  • The development of the FHT (fast Hadamard transform) was presented and based on the derivation by Cooley-Tukey algorithm. Alternately, it can be derived by matrix partitioning or matrix factorization techniques. This paper proposes a simple sparse matrix technique by Kronecker product of successive lower Hadamard matrix. The following shows how the Kronecker product can be mathematically defined and efficiently implemented using a matrix factorization methods.

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A Derivation of ROM and Its Application to Design of Discrete PID Controller using DWT (DWT를 이용한 ROM 유도 및 이산 PID 제어기 설계에의 적용)

  • 김윤상;오현철;안두수
    • Journal of Institute of Control, Robotics and Systems
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    • v.4 no.5
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    • pp.579-584
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    • 1998
  • This paper presents an efficient algorithm which determines the parameters of discrete PID controller. The proposed algorithm is an algebraic method to obtain controller parameters using ROM(Reduced Order Model), which can not only make design procedure simple but also reduce the computational burden required for controller implementation. Also, by solving a set of linear equations based on least squares method, the proposed method can make the controller design procedure systematic. Simple examples are given to demonstrate the effectiveness of our method when compared with widely-used conventional method.

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Efficient Computations for Evaluating Extended Stochastic Petri Nets using Algebraic Operations

  • Kim, Dong-Sung;Moon, Hong-Ju;Bahk, Je-Hyeong;Kwon, Wook-Hyun;Zygmunt J. Haas
    • International Journal of Control, Automation, and Systems
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    • v.1 no.4
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    • pp.431-443
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    • 2003
  • This paper presents an efficient method to evaluate the performance of an extended stochastic Petri net by simple algebraic operations. The reachability graph is derived from an extended stochastic Petri net, and then converted to a timed stochastic state machine, using a semi-Markov process. The n-th moments of the performance index are derived by algebraic manipulations with each of the n-th moments of transition time and transition probability. For the derivation, three reduction rules are introduced on the transition trajectories in a well-formed regular expression. Efficient computation algorithms are provided to automate the suggested method. The presented method provides a proficient means to derive both the numerical and the symbolic solutions for the performance of an extended stochastic Petri net by simple algebraic manipulations.

A New Calculation of Generator Penality Factors through transposition of System Angle Reference (위상각기준의 이동을 통한 새로운 패널티 계수의 계산방법)

  • Lee, Sang-Joong
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.50 no.1
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    • pp.1-5
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    • 2001
  • In this paper, a new method for calculating the penalty factors of all generators including the slack bus is presented. A simple transposition of the angle reference, from the conventional slack bus to another bus where no generation exists, enables the derivation of the loss sensitivity of the slack bus. Penalty factors are obtained without any physical assumption through a simple substitution of the bus loss sensitivities. Penalty factors calculated by proposed method are not dependent on reference bus and can also be directly substituted into the general ELD equation for computing the optimal dispatch. Equations for loss sensitivities, Penalty factors and ELD are calculated simultaneously in normal power flow computation. A case study on a test system has proved the effectiveness of the proposed' angle reference transposition' method.

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Establishment of Spermatogonial Stem Cells using Total Testicular Cell Culture System in Mouse (정소세포의 체외 혼합배양 방법을 이용한 생쥐 정원 줄기세포 확립)

  • Lee, Won Young;Kim, Hee Chan;Kim, Dong Hoon;Chung, Hak Jae;Park, Jin Ki;Song, Hyuk
    • Reproductive and Developmental Biology
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    • v.37 no.3
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    • pp.143-148
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    • 2013
  • Spermatogenesis is initiated from spermatogonial stem cells (SSCs) that has an ability of self-renewal and unipotency to generate differentiating germ cells. The objective of this study is to develop the simple method for derivation of SSCs using non-sorting of both spermatogonia and feeder cells. Simply uncapsulated mouse testes were treated with enzymes followed by surgical mincing, and single cells were cultured in stempro-$34^{TM}$ cell culture media at $37^{\circ}C$. After 5 days of culture, aciniform of SSC colony was observed, and showed a strong alkaline phosphatase activity. Molecular characterization of mouse SSCs showed that most of the mouse SSC markers such as integrin ${\alpha}6$ and ${\beta}1$, CD9 and Stra8. In addition, pluripotency embryonic stem cell (ESC) marker Oct4 were expressed, however Sox2 expression was lowered. Interestingly, expression of SSC markers such as Vasa, Dazl and PLZF were stronger than mouse ESC (mESC). This data suggest that generated mouse SSCs (mSSCs) in this study has at least similar biomarkers expression to mESC and mSSCs derived from other study. Immunocytochemistry using whole mSSC colony also confirmed that mSSCs generated from this study expressed SSC specific biomarkers such as c-kit, Thy1, Vasa and Dazl. In conclusion, mSSCs from 5 days old mouse testes were successfully established without sorting of spermatogonia, and this cells expressed both mESC and SSC specific biomarkers. This simple derivation method for mSSCs may facilitate the study of spermatogenesis.

Analytical and experimental study on natural sloshing frequencies in annular cylindrical tank with a bottom gap

  • Lee, H.W.;Jeon, S.H.;Cho, J.R.;Seo, M.W.;Jeon, W.B.
    • Structural Engineering and Mechanics
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    • v.57 no.5
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    • pp.877-895
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    • 2016
  • This paper is concerned with the analytical derivation of natural sloshing frequencies of liquid in annular cylindrical tank and its verification by experiment. The whole liquid domain is divided into three simple sub-regions, and the region-wise linearized velocity potentials are derived by the separation of variables. Two sets of matrix equations for solving the natural sloshing frequencies are derived by enforcing the boundary conditions and the continuity conditions at the interfaces between sub-regions. In addition, the natural sloshing frequencies are measured by experiment and the numerical accuracy of the proposed analytical method is verified through the comparison between the analytical and experimental results. It is confirmed that the present analytical method provides the fundamental sloshing frequencies which are in an excellent agreement with the experiment. As well, the effects of the tank radial gap, the bottom flow gap and the liquid fill height on the fundamental sloshing frequency are parametrically investigated.

Reexamination and Derivation of Empirical Dynamic Model for a Hydraulic Bleed-Off Circuit (유압 블리드-오프 회로의 특성 재검토 및 실험적 동특성 모델링)

  • Jeong, Heon-Sul;Lee, Gwang-Heon;Kim, Hyeong-Ui
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.26 no.8
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    • pp.1552-1564
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    • 2002
  • Meter-in, meter-out and bleed-off circuits are widely utilized in order to adjust the speed of a hydraulic actuator by using a flow control valve and in order to regulate the pressure of a hydraulic volume by using a simple on-off valve. In these circuits, a relief valve serves either to maintain constant system pressure or to protect the system from over-pressure loading. The relief valve of a bleed-off circuit is the second case frequently undergoing on-off action during operation. It makes the analysis of the pressure control characteristics of the circuit highly difficult. In this paper, steady-state flow rate, pressure, heat loss and efficiency of the three circuits are reexamined and basic experiments far obtaining the characteristics of a pump and relief valve are conducted. Finally, simple empirical first-order dynamic models of decreasing and increasing pressure were separately proposed and verified by comparison with experiment. As the result, the basis for the theoretical analysis of the pressure control characteristics of a bleed-off circuit using a simple on-off valve is established.