• Title/Summary/Keyword: midpoint method

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A Study on the MPPT Control Method for Grid-connected Multi-String Three-Phase Three-Level PV Inverter (계통연계형 멀티스트링 3상 3레벨 태양광 인버터의 MPPT 제어방법에 관한 연구)

  • Kim, Jinsoo;Yang, Oh
    • Journal of the Semiconductor & Display Technology
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    • v.13 no.4
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    • pp.43-48
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    • 2014
  • Two-level inverter has some disadvantages like high harmonics contained in the output current, efficiency limit and stress to switching device as IGBT and FET. Many researches have reported multi-level inverter to complement two-level inverter of problems. In this paper, we suggest MPPT algorithm of multi-string three-level solar inverter that considered nowadays. We added midpoint controller in order to implement the MPPT algorithm because the three-level inverter has to need midpoint controller and procured the stability of direct current link. We verify the superiority of multi-string T-Type inverter and the algorithm we suggested with solar irradiance variation experiment and MPPT efficiency measurement. The MPPT efficiency was confirmed with a high efficiency more than 99.97%.

Average Phase Current Estimation Method using a DC Link Shunt Resistor in the Three-Phase Inverter (3상 인버터에서의 직류단 단일 션트 저항을 이용한 평균 상전류 추정 방법)

  • Ku, Hyun-Keun;Yeom, Han-Beom;Kim, Jang-Mok
    • The Transactions of the Korean Institute of Power Electronics
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    • v.21 no.4
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    • pp.343-350
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    • 2016
  • Generally, the average phase current is sampled at the midpoint of a PWM signal for the vector control of an AC motor. The three-phase current can also be reconstructed from a DC-link shunt resistor by sampling the shunt voltage during the active vectors of the SVPWM. However, the reconstructed current is different from the average current because of the deviation of the sampling point from the midpoint of the PWM signal. This paper proposes an algorithm to estimate the average current from the reconstructed current in a single-shunt inverter. The proposed method is derived from the phase current slopes based on switching states and corresponding switching time. In addition, the proposed method is generalized for all the six sectors of the space vector hexagon. The validity of the proposed algorithm is verified with simulations and experiments.

The Treatment of the Free-surface Boundary Conditions by Finite-Difference Midpoint-Averaging Scheme for Elastic Wave Equation Modeling (탄성파 파동 방정식 모델링에서 중간점 차분 기법을 이용한 지표 경계 조건의 처리)

  • Park, Kwon-Gyu;Suh, Jung-Hee;Shin, Chang-Soo
    • Geophysics and Geophysical Exploration
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    • v.3 no.2
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    • pp.61-69
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    • 2000
  • The free-surface boundary conditions are persistent problem in elastic wave equation modeling by finite-difference method, which can be summarized with the degradation of the accuracy of the solution and limited stability range in Poisson's ratio. In this paper, we propose the mid-point averaging scheme as an alternative way of implementing the free-surface boundary conditions, and present the solution to Lamb's problem to verify our approach.

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A Modified Bresenham's Line Drawing Algorithm Using Symmetrical Property of Line Segment (직선 선분의 대칭성을 이용한 수정 브레제남 직선 그리기 알고리즘)

  • Lee, Sang-Rak;Hong, Yun-Sik
    • The Transactions of the Korea Information Processing Society
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    • v.6 no.8
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    • pp.2213-2221
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    • 1999
  • A line segment has a symmetrical property about its midpoint. With this symmetrical property for a line segment we have proposed a variant of Bresenham's line drawing algorithm that selects two pixels at the same time. It implies that bi-directional line drawing toward the midpoint of line segment from each-end be possible. Besiders, it can select two pixels using only one decision parameter, instead of two different parameters for each pixel. We also present a theoretical proof for the correctness of such a selection. Thus, we can reduce the time of generating line segment by approximately less than 5% compared to the Bresenham's method. Also, our experimental results show that the shape of line segment generated by the proposed approach is the exactly same as that of Bresenham's method.

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THE CLINICAL STUDY OF THE EFFECT OF OCCLUSAL PLANES ON THE STOMATOGNATHIC SYSTEM I. THE CONSIDERATION OF OCCLUSAL PLANES USING PANORAMIC VIEWS (교합평면이 악구강계에 미치는 영향에 대한 임상적 연구 I. Panoramic View를 이용한 교합평면의 검토)

  • Jo, Byung-Woan;Ahn, Sang-Hun;Kim, Jong-Pil
    • The Journal of Korean Academy of Prosthodontics
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    • v.33 no.4
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    • pp.705-717
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    • 1995
  • In clinical prosthetic dentistry the occlusal planes were represented to the dental arch form sagittally and composed of the occlusion morphologically. From now on the determinations of the occlusal planes were done through the facebow transfer and the cephalometric radiography, but they were not exact method for the diagnosis of the stomagnathic function. The purpose of this study is to examine the sagittal characteristics of occlusal planes using panoramic view between the normal subjects and the subjects with stomatognathic dysfunction. 60 normal subjects and 16 subjects with stomatognathic dysfunction were slectec for this investigation. We measured the inclination of occlusal planes to Frankfurt Horizontal plane. The occlusal planes were divided into 4 groups : 1) The plane between the midpoint of upper central incisor and the mesiobuccal cusp of upper 1st molar, 2) The plane between the midpoint of upper central incisor and the mesiobuccal cusp of upper 2nd molar, 3) The plane between the midpoint of upper central incisor and the distobuccal cusp of upper 2nd molar, 4) The plane between the mesiobuccal cusp of 1st molar and the distobuccal cusp of 2nd molar. The results were as follows : 1) The occlusal planes could be determined very easy by using panoramic view, 2) Among the angles between the occlusal planes and the FH plane, the angles related with the 2nd molar were more steep than those of the 1st molar. The angle between the 1st molar and the 2nd molar is the most steep in the other angles. 3) In the angles between occlusal planes and FH plane, the subjects with stomatognathic dysfunction were more significant steep(p<0.05) than the normal subjects.

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CIRCLE APPROXIMATION USING PARAMETRIC POLYNOMIAL CURVES OF HIGH DEGREE IN EXPLICIT FORM

  • Ahn, Young Joon
    • Communications of the Korean Mathematical Society
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    • v.37 no.4
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    • pp.1259-1267
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    • 2022
  • In this paper we present a full circle approximation method using parametric polynomial curves with algebraic coefficients which are curvature continuous at both endpoints. Our method yields the n-th degree parametric polynomial curves which have a total number of 2n contacts with the full circle at both endpoints and the midpoint. The parametric polynomial approximants have algebraic coefficients involving rational numbers and radicals for degree higher than four. We obtain the exact Hausdorff distances between the circle and the approximation curves.

Computation of Two-Fluid Flows with Submerged hydrofoil by Interface Capturing Method (접면포착법에 의한 수중익 주위의 이층류 유동계산)

  • 곽승현
    • Journal of Korean Port Research
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    • v.13 no.1
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    • pp.167-174
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    • 1999
  • Numerical analysis of two-fluid flows for both water and air is carried out. Free-Surface flows with an arbitrary deformation have been simulated around two dimensional submerged hydrofoil. The computation is performed using a finite volume method with unstructured meshes and an interface capturing scheme to determine the shape of the free surface. The method uses control volumes with an arbitrary number of faces and allows cell-wise local mesh refinement. the integration in space is of second order based on midpoint rule integration and linear interpolation. The method is fully implicit and uses quadratic interpolation in time through three time levels The linear equation systems are solved by conjugate gradient type solvers and the non-linearity of equations is accounted for through picard iterations. The solution method is of pressure-correction type and solves sequentially the linearized momentum equations the continuity equation the conservation equation of one species and the equations or two turbulence quantities.

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AN OVERLAPPING SCHWARZ METHOD FOR SINGULARLY PERTURBED THIRD ORDER CONVECTION-DIFFUSION TYPE

  • ROJA, J. CHRISTY;TAMILSELVAN, A.
    • Journal of applied mathematics & informatics
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    • v.36 no.1_2
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    • pp.135-154
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    • 2018
  • In this paper, an almost second order overlapping Schwarz method for singularly perturbed third order convection-diffusion type problem is constructed. The method splits the original domain into two overlapping subdomains. A hybrid difference scheme is proposed in which on the boundary layer region we use the combination of classical finite difference scheme and central finite difference scheme on a uniform mesh while on the non-layer region we use the midpoint difference scheme on a uniform mesh. It is shown that the numerical approximations which converge in the maximum norm to the exact solution. We proved that, when appropriate subdomains are used, the method produces convergence of second order. Furthermore, it is shown that, two iterations are sufficient to achieve the expected accuracy. Numerical examples are presented to support the theoretical results. The main advantages of this method used with the proposed scheme are it reduce iteration counts very much and easily identifies in which iteration the Schwarz iterate terminates.

Computation of Water and Air Flow with Submerged Hydrofoil by Interface Capturing Method

  • Kwag, Seung-Hyun
    • Journal of Mechanical Science and Technology
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    • v.14 no.7
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    • pp.789-795
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    • 2000
  • Free-surface flows with an arbitrary deformation, induced by a submerged hydrofoil, are simulated numerically, considering two-fluid flows of both water and air. The computation is performed by a finite volume method using unstructured meshes and an interface capturing scheme to determine the shape of the free surface. The method uses control volumes with an arbitrary number of faces and allows cell wise local mesh refinement. The integration in space is of second order, based on midpoint rule integration and linear interpolation. The method is fully implicit and uses quadratic interpolation in time through three time levels. The linear equations are solved by conjugate gradient type solvers, and the non-linearity of equations is accounted for through Picard iterations. The solution method is of pressure-correction type and solves sequentially the linearized momentum equations, the continuity equation, the conservation equation of one species, and the equations for two turbulence quantities. Finally, a comparison is quantitatively made at the same speed between the computation and experiment in which the grid sensitivity is numerically checked.

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Study on vibration energy characteristics of vehicle-track-viaduct coupling system considering partial contact loss beneath track slab

  • Liu, Linya;Zuo, Zhiyuan;Zhou, Qinyue;Qin, Jialiang;Liu, Quanmin
    • Structural Engineering and Mechanics
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    • v.75 no.4
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    • pp.497-506
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    • 2020
  • CA mortar layer disengagement will give rise to the overall structural changes of the track and variation in the vibration form of the ballastless track. By establishing a vehicle-track-viaduct coupling analysis and calculation model, it is possible to analyze the CRTS-I type track structure vibration response while the track slab is disengaging with the power flow evaluation method, to compare the two disengaging types, namely partial contact loss at one edge beneath track slab and partial contact loss at midpoint beneath track slab. It can also study how the length of disengaging influences the track structures vibration power. It is showed that when the partial contact loss beneath track slab, and the relative vibration energy level between the rail and the track slab increases significantly within [10, 200]Hz with the same disengaging length, the partial contact loss at one edge beneath track slab has more prominent influence on the vibration power than the partial contact loss at midpoint beneath track slab. With the increase of disengaging length, the relative vibration energy level of the track slab grows sharply, but it will change significantly when it reaches 1.56 m. Little effect will be caused by the relative vibration energy level of the viaduct. The partial contact loss beneath the track slab will cause more power distribution and transmission between the trail and track slab, and will then affect the service life of the rail and track slab.