• 제목/요약/키워드: Modified equation

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수정한 전압방정식을 이용한 발전기의 입출력 귀환선형화 제어기 설계 (Input-Output Feedback Linearizing Controller Design of a Power System Using a Modified Voltage Equation)

  • 김석균;윤태웅
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2006년도 심포지엄 논문집 정보 및 제어부문
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    • pp.183-185
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    • 2006
  • This paper presents a SISO nonlinear controller for the power system consisting of a synchronous generator connected to an infinite bus. The proposed controller is based on input-output feedback linearization, with a modified version of the terminal voltage equation used as the output. The resulting closed-loop has no internal dynamics, and thus stability is guaranteed. The controller performance is seen to be effective through simulations.

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예측수정된 Stanitz 방정식을 이용한 임펠러 출구 조건 해석 (Analysis of impeller exit condition using a modified Stanitz equation in a centrifugal refrigerant compressor)

  • 정진희;김춘동;이현구;이용덕
    • 유체기계공업학회:학술대회논문집
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    • 유체기계공업학회 1999년도 유체기계 연구개발 발표회 논문집
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    • pp.61-68
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    • 1999
  • We have measured pressure distributions within the diffuser and pressures at the inlet and outlet of the compressor in orde to match impeller and low-solidity diffuser of 500RT centrifugal refrigerant-compressor which has been developed in LG Cable Ltd. Modified Stanitz equation is used to predict the measured data by tuning several parameters and then is validated. Using the validated parameters and modified Stanitz equation, we have obtained data necessary to design the diffuser.

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THE STABILITY OF THE GENERALIZED FORM FOR THE GAMMA FUNCTIONAL EQUATION

  • Kim, Gwang-Hui;Lee, Young-Whan
    • 대한수학회논문집
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    • 제15권1호
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    • pp.45-50
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    • 2000
  • The modified Hyers-Ulam-Rassias Stability Of the generalized form g(x+p) : $\phi$(x)g(x) for the Gamma functional equation shall be proved. As a consequence we obtain the stability theorems for the gamma functional equation.

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THE ($\frac{G'}{G}$)- EXPANSION METHOD COMBINED WITH THE RICCATI EQUATION FOR FINDING EXACT SOLUTIONS OF NONLINEAR PDES

  • Zayed, E.M.E.
    • Journal of applied mathematics & informatics
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    • 제29권1_2호
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    • pp.351-367
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    • 2011
  • In this article, we construct exact traveling wave solutions for nonlinear PDEs in mathematical physics via the (1+1)- dimensional combined Korteweg- de Vries and modified Korteweg- de Vries (KdV-mKdV) equation, the (1+1)- dimensional compouned Korteweg- de Vries Burgers (KdVB) equation, the (2+1)- dimensional cubic Klien- Gordon (cKG) equation, the Generalized Zakharov- Kuznetsov- Bonjanmin- Bona Mahony (GZK-BBM) equation and the modified Korteweg- de Vries - Zakharov- Kuznetsov (mKdV-ZK) equation, by using the (($\frac{G'}{G}$) -expansion method combined with the Riccati equation, where G = $G({\xi})$ satisfies the Riccati equation $G'({\xi})=A+BG^2$ and A, B are arbitrary constants.

TRAVELING WAVE SOLUTIONS FOR HIGHER DIMENSIONAL NONLINEAR EVOLUTION EQUATIONS USING THE $(\frac{G'}{G})$- EXPANSION METHOD

  • Zayed, E.M.E.
    • Journal of applied mathematics & informatics
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    • 제28권1_2호
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    • pp.383-395
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    • 2010
  • In the present paper, we construct the traveling wave solutions involving parameters of nonlinear evolution equations in the mathematical physics via the (3+1)- dimensional potential- YTSF equation, the (3+1)- dimensional generalized shallow water equation, the (3+1)- dimensional Kadomtsev- Petviashvili equation, the (3+1)- dimensional modified KdV-Zakharov- Kuznetsev equation and the (3+1)- dimensional Jimbo-Miwa equation by using a simple method which is called the ($\frac{G'}{G}$)- expansion method, where $G\;=\;G(\xi)$ satisfies a second order linear ordinary differential equation. When the parameters are taken special values, the solitary waves are derived from the travelling waves. The travelling wave solutions are expressed by hyperbolic, trigonometric and rational functions.

비대칭 급확대 관로 유동장 내의 열전달 해석에 수정된 경계층 방정식의 적용 가능성 추정 (Prediction of Heat Transfer in Asymmetric Sudden Expansion Flows by using the Modified Boundary Layer Equations)

  • 류명석;맹주성
    • 대한설비공학회지:설비저널
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    • 제14권4호
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    • pp.293-299
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    • 1985
  • This paper describes an economical prediction procedure for heat transfer phenomenon through a channel containing an abrupt asymmetric expansion in flow cross-seetional area. Numerical solutions for the flow field are obtained by the finite difference numerical method applied to the modified boundary layer equations. Modified boundary energy equation is used to analyze heat transfer as modified boundary momentum equation. Predictions of the method compare very favorable with exprimental data. Results of this study by modified boundary layer equation are as follows : 1. The computation time required for the scheme is at least an order of magnitude less than for the numerical solution of the full Navier-stokes and Energy eguations. 2. In laminar flow, the maximum heat transfer occurs downstream of the reattachment point.

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CRT 모니터의 감성품질 정량화를 위한 심물리학적 접근: White Uniformity 품질 평가 (A Psychophysical Approach to evaluating the perceived image quality of CRT: White Uniformity Quality)

  • 이욱기;김성환;이선규;이광희;김상수
    • 대한인간공학회지
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    • 제20권2호
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    • pp.59-70
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    • 2001
  • White uniformity is one of the important inspection factors determining the image quality of CRT screen. In the full white pattern, white uniformity means the degree of uniform distribution of white color across the whole screen. To elicit the sensitivity factors affecting the decision of the white uniformity quality, experiments in which participants were confronted with 6 evaluation points embedded in 3 measurement groups on a CRT screen were conducted to gather the psychophysical data that are the level of white uniformity subjects perceived and CA100 produced. These data were used to develop a modified CIE1976 equation for calculating white uniformity. Performance comparison between the original CIE1976 equation and the modified equation was conducted in terms of accuracy test and magnitude estimation. It was concluded the modified equation is more sensitive in the change of white uniformity, compared to the original CIE1976 equation.

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THE CONVERGENCE OF HOMOTOPY METHODS FOR NONLINEAR KLEIN-GORDON EQUATION

  • Behzadi, Shadan Sadigh
    • Journal of applied mathematics & informatics
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    • 제28권5_6호
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    • pp.1227-1237
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    • 2010
  • In this paper, a Klein-Gordon equation is solved by using the homotopy analysis method (HAM), homotopy perturbation method (HPM) and modified homotopy perturbation method (MHPM). The approximation solution of this equation is calculated in the form of series which its components are computed easily. The uniqueness of the solution and the convergence of the proposed methods are proved. The accuracy of these methods are compared by solving an example.

소프트웨어 비용-일정 타협을 위한 수정된 소프트웨어 공식 (Modified Software Equation for Software Cost-Schedule Tradeoff)

  • 이상운;최명복
    • 한국컴퓨터정보학회논문지
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    • 제16권9호
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    • pp.35-43
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    • 2011
  • 하나의 소프트웨어를 개발하기 위해서는 개발조직의 생산성, 투입되는 노력, 개발일정, 소프트웨어 규모 간에 관계가 있다. 이들 관계를 유도한 식이 소프트웨어 공식이다. 소프트웨어 공식은 근본적으로 규모-노력, 규모-일정 관계가 적용되었다. 이 관계가 적절하지 않을 경우 소프트웨어 공식으로부터 유도되는 비용-일정 타협 공식, 투입인력 프로파일 등의 효용성이 없어진다. 본 논문에서는 이러한 문제점을 해결하고자 수정된 소프트웨어 공식을 유도하였으며, 수정된 소프트웨어 공식에 기반하여 소프트웨어 규모별로 비용-일정을 타협하는 모델들을 제안하였다. 소프트웨어 개발 성공률을 향상시키기 위해 제안된 모델을 적용하면 계약 협상이나 입찰에 도움이 될 것이다.

KINK WAVE SOLUTIONS TO KDV-BURGERS EQUATION WITH FORCING TERM

  • Chukkol, Yusuf Buba;Muminov, Mukhiddin
    • 대한수학회논문집
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    • 제35권2호
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    • pp.685-695
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    • 2020
  • In this paper, we used modified tanh-coth method, combined with Riccati equation and secant hyperbolic ansatz to construct abundantly many real and complex exact travelling wave solutions to KdV-Burgers (KdVB) equation with forcing term. The real part is the sum of the shock wave solution of a Burgers equation and the solitary wave solution of a KdV equation with forcing term, while the imaginary part is the product of a shock wave solution of Burgers with a solitary wave travelling solution of KdV equation. The method gives more solutions than the previous methods.