• Title/Summary/Keyword: approximate method

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Development of New Algorithm for Maximum Power Point Tracking of Photovoltaic system (Photovoltaic 시스템의 MPPT를 위한 새로운 알고리즘 개발)

  • Park, Ki-Tae;Ko, Jae-Sub;Choi, Jung-Sik;Park, Byung-Sang;Chung, Dong-Hwa
    • Journal of Korean Institute of Fire Investigation
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    • v.10 no.1
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    • pp.87-95
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    • 2007
  • This paper is proposed a novel method to approximate the maximum power for a photovoltaic inverter system and tracking method. It is designed for power systems application and utilities. The proposed Maximum Power Point Tracking (MPPT) control has the advantage to provide a new simple way to approximate the optimal or rated voltage, the optimal or rated current and maximum power rating produced by a solar panel and the photovoltaic inverter. And this straightforward method will be named linear reoriented coordinates method (LRCM) with the advantage that Pmax and $V_{op}$ can be approximated using the same variable as the dynamic model without using complicate approximations or Taylor series. Furthermore tracking method is improved over 50% photovoltaic efficiency. This paper is proposed MPPT using LRMC and tracking method using weather condition of domestic moderate program technique. This paper is proposed the experimental results to verify the effectiveness of the new methods.

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SYSTEMATIC APPROXIMATION OF THREE DIMENSIONAL FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS IN FLUID MECHANICS

  • KHAN, FIRDOUS;GHADLE, KIRTIWANT P.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.23 no.3
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    • pp.253-266
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    • 2019
  • In this article, a systematic solution based on the sequence of expansion method is planned to solve the time-fractional diffusion equation, time-fractional telegraphic equation and time-fractional wave equation in three dimensions using a current and valid approximate method, namely the ADM, VIM, and the NIM subject to the estimate initial condition. By using these three methods it is likely to find the exact solutions or a nearby approximate solution of fractional partial differential equations. The exactness, efficiency, and convergence of the method are demonstrated through the three numerical examples.

The Multi-step Adomian Decomposition Method for Approximating a Fractional Smoking Habit Model

  • Zuriqat, Mohammad;Freihat, Asad
    • Kyungpook Mathematical Journal
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    • v.60 no.4
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    • pp.753-765
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    • 2020
  • Smoking is one of the main causes of health problems and continues to be one of the world's most significant health challenges. In this paper, we use the multi-step Adomian decomposition method (MSADM) to obtain approximate analytical solutions for a mathematical fractional model of the evolution of the smoking habit. The proposed MSADM scheme is only a simple modification of the Adomian decomposition method (ADM), in which ADM is treated algorithmically with a sequence of small intervals (i.e. time step) for finding accurate approximate solutions to the corresponding problems. A comparative study between the new algorithm and the classical Runge-Kutta method is presented in the case of integer-order derivatives. The solutions obtained are also presented graphically. The results reveal that the method is effective and convenient for solving linear and nonlinear differential equations of fractional order.

An Imprevement of the Approximate-Factorization Scheme and Its Application to the Analysis of Incompressible Viscous Flows (근사인자화법의 개량과 비압축성 유동해석에의 응용)

  • 신병록
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.8
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    • pp.1950-1963
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    • 1995
  • A modification of the approximate-factorization method is made to accelerate the convergency rate and to take sufficiently large Courant number without loss of accuracy. And a stable implicit finite-difference scheme for solving the incompressible Navier-Stokes equations employed above modified method is developed. In the present implicit scheme, the volume fluxes with contravariant velocity components and the pressure formulation in curvilinear coordinates is adopted. In order to satisfy the continuity condition completely and to remove spurious errors for the pressure, the Navier-Stokes equations are solved by a modified SMAC scheme using a staggered gird. The upstream-difference scheme such as the QUICK scheme is also employed to the right hand side. The implicit scheme is unconditionally stable and satisfies a diagonally dominant condition for scalar diagonal linear systems of implicit operator on the left hand side. Numerical results for some test calculations of the two-dimensional flow in a square cavity and over a backward-facing step are obtained using both usual approximate-factorization method and the modified one, and compared with each other. It is shown that the present scheme allows a sufficiently large Courant number of O(10$^{2}$) and reduces the computing time.

Improved Speed of Convergence in Self-Organizing Map using Dynamic Approximate Curve (동적 근사곡선을 이용한 자기조직화 지도의 수렴속도 개선)

  • Kil, Min-Wook;Kim, Gui-Joung;Lee, Geuk
    • Journal of Korea Multimedia Society
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    • v.3 no.4
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    • pp.416-423
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    • 2000
  • The existing self-organizing feature map of Kohonen has weakpoint that need too much input patterns in order to converse into the learning rate and equilibrium state when it trains. Making up for the current weak point, B.Bavarian suggested the method of that distributed the learning rate such as Gaussian function. However, this method has also a disadvantage which can not achieve the right self-organizing. In this paper, we proposed the method of improving the convergence speed and the convergence rate of self-organizing feature map converting the Gaussian function into dynamic approximate curve used in when trains the self-organizing feature map.

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Study of Reliability-Based Robust Design Optimization Using Conservative Approximate Meta-Models (보수적 근사모델을 적용한 신뢰성 기반 강건 최적설계 방법)

  • Sim, Hyoung Min;Song, Chang Yong;Lee, Jongsoo;Choi, Ha-Young
    • Journal of Ocean Engineering and Technology
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    • v.26 no.6
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    • pp.80-85
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    • 2012
  • The methods of robust design optimization (RDO) and reliability-based robust design optimization (RBRDO) were implemented in the present study. RBRDO is an integrated method that accounts for the design robustness of an objective function and for the reliability of constraints. The objective function in RBRDO is expressed in terms of the mean and standard deviation of an original objective function. Thus, a multi-objective formulation is employed. The regressive approximate models are generated via the moving least squares method (MLSM) and constraint-feasible moving least squares method (CF-MLSM), which make it possible to realize the feasibility regardless of the multimodality/nonlinearity of the constraint function during the approximate optimization processes. The regression model based RBRDO is newly devised and its numerical characteristics are explored using the design of an actively controlled ten bar truss structure.

Prediction of acoustic radiation efficiency for trapezoidal corrugated plates (사다리꼴 주름평판의 음향방사효율 해석)

  • Jungsoo Ryue;Seungho Jang
    • The Journal of the Acoustical Society of Korea
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    • v.42 no.2
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    • pp.83-93
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    • 2023
  • Trapezoidal corrugated plates are often treated as orthotropic plates to simplify the modelling of the corrugation. However, this simplification is not valid at high frequencies in which the localized vibration within the parts of corrugation takes place. In this study, the vibrational and acoustical characteristics of corrugated plates are investigated up to high frequencies by means of the wavenumber domain numerical approach. Based on the findings from this numerical analysis, an approximate method to predict vibro-acoustic characteristics of corrugated plates is proposed. This approximate model consists of four equivalent plates which can represent global and local behaviours of corrugated plates. The radiation efficiency of corrugated plates is predicted from the approximate model and validated through the comparison with those of the numerical method.

Approximate Detection Method for Image Up-Sampling

  • Tu, Ching-Ting;Lin, Hwei-Jen;Yang, Fu-Wen;Chang, Hsiao-Wei
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.8 no.2
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    • pp.462-482
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    • 2014
  • This paper proposes a new resampling detection method for images that detects whether an image has been resampled and recovers the corresponding resampling rate. The proposed method uses a given set of zeroing masks for various resampling factors to evaluate the convolution values of the input image with the zeroing masks. Improving upon our previous work, the proposed method detects more resampling factors by checking for some periodicity with an approximate detection mechanism. The experimental results demonstrate that the proposed method is effective and efficient.

Automatic Detection of Left Ventricular Endocardial Boundary on B-mode Short Axis Echocardiography (B 모드 단축 심초음파 영상의 좌심실 내벽 윤곽선 자동 검출)

  • 김명남;원철호;조진호
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.32B no.10
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    • pp.1294-1304
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    • 1995
  • In this paper, a method has been proposed for the fully automatic detection of left ventricular endocardial boundary in B-mode short axis echocardiography without manual intervention by human operator. The proposed method makes use of the weighted model that approximates to endocardium and incomplete edge information for echocardiography. Therefore, this method is more effective than boundary detection by only edge information. The implementation of this method is as follows. First, the proposed algorithms are used in order to detect the approximate boundary, then a weighted model with the approximate boundary is constructed. Finally, the cavity center of the left ventricle performing the Hough transform with the weighted model and edge image can be found automatically, and then the endocardial boundary using detected center, original image, weighted model, and edge image can be detected. validations of this method with experimental results on echo image of dog's heart and clinical echocardiography is verified.

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Nonlinear Dynamic Anslysis of R/C Structures Using Approximate Modal Approach (근사모드법을 이용한 철근콘크리트 구조물의 비선형해석)

  • 장극관;이리형
    • Proceedings of the Korea Concrete Institute Conference
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    • 1994.04a
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    • pp.77-84
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    • 1994
  • An approximate method of normal coordinate idealization for use in nonlinear R/C frames has been developed. Normal coordinate apporaches have been used for nonlinear problems in the past, but they are not received wide acceptance because of the need for eigenvector computation in each time step. The proposed method cicumvents the eigenvector recalculation problem by evaluating a limited number of sets of mode shapes in performing the dynamic analysis. Then the predetermined sets of eigenvectors are used in the nonlinear dynamic analysis, repeatedly. The method is applied to frame structures with ductiles R/C elements. The plastic hinge zones are modeled with hysteresis loops which evince degrading stiffness and pinching effects. The method is applied to frames with local nonlinearities. Efficiencies and accuracies of the method for this application are presented.

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