• Title/Summary/Keyword: Pi

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Chemical reaction at Cu/polyimide interface (Cu/polyimide 계면에서의 화학반응)

  • 이연승
    • Journal of the Korean Crystal Growth and Crystal Technology
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    • v.7 no.3
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    • pp.494-503
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    • 1997
  • We investigated the initial stages of formation of the Cu/polyimide interface using another two methods by X-ray photoelectron spectroscopy. : One, in-situ measurement with increasing of Cu deposition thickness onto polyimide(PI), the other, measurement with decreasing of Cu thickness of Cu/pI film by $Ar^+$ ion etching. From these results, we find that the chemical reactions exist in Cu/PI interface. However, the measured chemical reactions were different according to experimental method.

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The Nature of Pi as a Constant and Archimedes' Calculation Method (원주율의 상수성과 아르키메데스의 계산법)

  • Choi, Young-Gi;Hong, Gap-Ju
    • The Mathematical Education
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    • v.47 no.1
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    • pp.1-10
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    • 2008
  • Some of school mathematics contents that have deep mathematical meanings are regarded as obvious and their importance is frequently overlooked. We first reexamined the mathematical meaning of pi as a constant. Then we indicated the educational implications of Archimedes' calculation method of pi and finally underlined the availability of pi as a valuable research topic in school mathematics.

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Design of Two-Degree-of-Freedom PI Controllers using the Mixed $H_2/H_{\infty}$ Methods ($H_2 / H_{\infty}$ 혼합 기법을 이용한 2자유도 PI 제어기의 설계)

  • 조용석;박기헌
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.33B no.6
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    • pp.12-22
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    • 1996
  • A numerous designs of PI controllers have been suggested to solve out trade-off between tracing and regulating problems. We constructed the PI controller system with two-degree-of-freedom that is more analytic and a better approach to a practical one. In the conventional H$_{2}$ design of optimal PI controllers, the cost function includes only the plant output terms due to the divergent problems. Since the platn input temr is not considered in PI controller design, occasionally, the plant input thends to be either very large or saturated. To solve the prior mentioned problems, we employed a mixed $H_2/H_{\infty}$ method that combines the H$_{2}$ design method to decide optimal parameters of PI controller and the $H_2/H_{\infty}$ design method to minimize the maximum amplitude of plant input. The calculation time of the H$_{infty}$ norm was considerably reduced by the simple scalar function obtained by the wiener-hopf factorization of non-scalar functions.

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Design of Fuzzy PI Controller for Variable Speed Drive of Switched Reluctance Motor (SRM의 가변속 구동을 위한 퍼지 PI 제어기 설계)

  • Yoon, Yong-Ho;Park, Jun-Suk;Song, Sang-Hoon;Won, Chung-Yuen;Kim, Jae-Moon
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.61 no.10
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    • pp.1529-1535
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    • 2012
  • This paper presents the application algorithm for speed control of Switched Reluctance Motor. The conventional PI controller has been widely used in industrial applications. But it is very difficult to find the optimal PI control gain. Fuzzy control does not need any model of plant. It is based on plant operator experience and heuristics. The proposed fuzzy logic modifier increases the control performance of conventional PI controller. Simulation and experimental results show that the proposed fuzzy control method was superior to the conventional PI controller in the respect of system performance. The experiments are performed to verify the capability of proposed control method on 6/4 salient type SRM.

AN INJECTIVITY THEOREM FOR CASSON-GORDON TYPE REPRESENTATIONS RELATING TO THE CONCORDANCE OF KNOTS AND LINKS

  • Friedl, Stefan;Powell, Mark
    • Bulletin of the Korean Mathematical Society
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    • v.49 no.2
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    • pp.395-409
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    • 2012
  • In the study of homology cobordisms, knot concordance and link concordance, the following technical problem arises frequently: let ${\pi}$ be a group and let M ${\rightarrow}$ N be a homomorphism between projective $\mathbb{Z}[{\pi}]$-modules such that $\mathbb{Z}_p\;{\otimes}_{\mathbb{Z}[{\pi}]}M{\rightarrow}\mathbb{Z}_p{\otimes}_{\mathbb{Z}[{\pi}]}\;N$ is injective; for which other right $\mathbb{Z}[{\pi}]$-modules V is the induced map $V{\otimes}_{\mathbb{Z}[{\pi}]}\;M{\rightarrow}\;V{\otimes}_{\mathbb{Z}[{\pi}]}\;N$ also injective? Our main theorem gives a new criterion which combines and generalizes many previous results.

DYNAMICS OF OPEN II-RAYS (META PHYSICS) AND CLOSED II-RAYS

  • Oh, Hung-Kuk
    • Proceedings of the Korean Society for Emotion and Sensibility Conference
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    • 2000.04a
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    • pp.39-46
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    • 2000
  • The imploded open $\pi$-rays comprise of the space and their diameters are distributed from nearly zero to infinite. The change of the potential energy in the open $\pi$-ray produces an attraction force between them and it is sensible to the geometric shape factor and its frequency. The equivalent principle of general relativity means that in the wave equation its velocity of the force wave is infinite. The change of the state in a open $\pi$-ray(or any force wave) can be transferred to any sensible open $\pi$-ray via space at a finite velocity. Many properties of the light wave can be deduce from the motions of open $\pi$-rays.The nonsteady and steady Schr dinger equations include the dynamics of open $\pi$-rays and closed $\pi$-rays.$\prod$-ray is a tool of entity for constructing physics and metaphysics at the same time.

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Design of a Surface-Mounted PMSM Current Controller Using Uncertainty Estimation with a PI Observer (PI 관측기의 불확실성 추정을 이용한 표면부착형 영구자석 동기기의 전류 제어기 설계)

  • Kim, In-Hyuk;Choi, Dae-Sik;Son, Young-Ik
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.60 no.5
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    • pp.1011-1016
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    • 2011
  • This paper presents a robust current controller for a surface-mounted permanent magnet synchronous motor(SPMSM) by using a PI observer. The decoupling PI(proportional-integral) controller combined with an additional feed-forward compensation has been used for the current controller. The classical feed-forward compensation using velocity information and system parameters is not expected to achieve a robust performance against parameter uncertainties. This paper has adopted a PI observer for the feed-forward compensation to cope with parameter uncertainties without using velocity information. A simple PI observer has been designed to compensate the disturbances that represent velocity coupled terms and parameter uncertainties. Experimental results as well as computer simulations with 630W SPMSM confirm that the proposed approach can deal with the effects of the disturbance and improve the control performance.

BEST CONSTANT IN ZYGMUND'S INEQUALITY AND RELATED ESTIMATES FOR ORTHOGONAL HARMONIC FUNCTIONS AND MARTINGALES

  • Osekowski, Adam
    • Journal of the Korean Mathematical Society
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    • v.49 no.3
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    • pp.659-670
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    • 2012
  • For any $K$ > $2/{\pi}$ we determine the optimal constant $L(K)$ for which the following holds. If $u$, $tilde{u}$ are conjugate harmonic functions on the unit disc with $\tilde{u}(0)=0$, then $$ {\int}_{-\pi}^{\pi}{\mid}\tilde{u}(e^{i\phi}){\mid}\frac{d{\phi}}{2{\pi}}{\leq}K{\int}_{-\pi}^{\pi}{\mid}u(e^{i{\phi}}){\mid}{\log}^+{\mid}u(e^{i{\phi}}){\mid}\frac{d{\phi}}{2{\pi}}+L(K).$$ We also establish a related estimate for orthogonal harmonic functions given on Euclidean domains as well as an extension concerning orthogonal martingales under differential subordination.

(A Simulation of Neural Networks Control for Building HVAC) (신경망을 이용한 건물 공조시스템의 최적제어 관한 연구)

  • Yuk, Sang-Jo;Yoo, Seung-Sun;Lee, Geuk
    • Journal of the Korea Computer Industry Society
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    • v.3 no.9
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    • pp.1199-1206
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    • 2002
  • This study is to verify the application characteristics of PI control and to simulate the applicability of Neural Networks control HVAC TRNSYS program. Each performance of HVAC by PI control and by Neural Networks is compared. According to the result of simulation, Neural Networks control is favorably applicable than previous PI control for the variation of weather condition and systematic changes.

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Design of Complex Fault Detection and Isolation for Sensor and Actuator by Using Unknown Input PI Observer (미지 입력 PI 관측기를 이용한 센서 및 구동기의 복합 고장진단)

  • 김환성
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 1999.05a
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    • pp.437-441
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    • 1999
  • In this paper, a fault diagnosis method using unknown-input proportional integral (PI) observers including the magnitude of actuator failures is proposed. It is shown that actuator failures are detected and isolated perfectly by monitoring the integrated error between the actual output and the estimated output using an unknown-input PI observer. Also in presence of complex actuator and sensor failures, these failures are detected and isolated by multiple unknown-input PI observers perfectly.

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