• Title/Summary/Keyword: Proportional Concept

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Modeling, Dynamic Analysis and Control Design of Full-Bridge LLC Resonant Converters with Sliding-Mode and PI Control Scheme

  • Zheng, Kai;Zhang, Guodong;Zhou, Dongfang;Li, Jianbing;Yin, Shaofeng
    • Journal of Power Electronics
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    • v.18 no.3
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    • pp.766-777
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    • 2018
  • In this paper, a sliding mode and proportional plus integral (SM-PI) control combined with self-sustained phase shift modulation (SSPSM) for LLC resonant converters is presented. The proposed control scheme improves the transient response while preserving good steady-state performance. An averaged large signal model of an LLC converter with the ZVS modulation technique is developed for the SM control design. The sliding surface is obtained based on the input-output linearization concept. A system identification method is adopted to obtain the transform function of the LLC resonant converter, which is used to design the PI control. In order to reduce the inherent chattering problem in the steady state, the combined SM-PI control strategy is derived with fuzzy control, where the SM control is responsive during the transient state while the PI control prevails in the steady state. The combination of SSPSM and the SM-PI control provides ZVS operation, robustness and a fast transient response against step load variations. Simulation and experimental results validate the theoretical analysis and the attractive features of the proposed scheme.

Estimation of Permeability Coefficient Using Fractal Dimension of Particle Size Distribution Curve in Granular Soils (조립토 입도분포곡선의 프랙탈차원을 이용한 투수계수의 예측)

  • Park Jae-Seong;Chang Pyoung-Wuck;Son Young-Hwan;Kim Seong-Pil
    • Journal of The Korean Society of Agricultural Engineers
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    • v.48 no.4
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    • pp.41-49
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    • 2006
  • Since particle size distribution curves are useful to estimate permeability of soil, many formulae for permeability coefficient (k) have been published using the parameter from the curves and factors, such as grain size, particle shape and void ratio of soils. However, the parameters such as $C_c,\;C_u$ and $D_n$ derived from only some discrete points on the curve are insufficient to represent the whole gradation. In this paper fractal dimension which is quite new concept and known to be able to represent the entire curve of particle size distribution is employed for the parameters. An empirical formula of permeability coefficient has been developed with fractal dimension and percent of finer than 0.075 mm. The formula developed from this study has confirmed its effectiveness by a series of laboratory tests and comparison to other published formulae. It is found that permeability coefficient is proportional to fractal dimension and inversely proportional to percent of fines.

Real-Time Obstacle Avoidance of Autonomous Mobile Robot and Implementation of User Interface for Android Platform (자율주행 이동로봇의 실시간 장애물 회피 및 안드로이드 인터페이스 구현)

  • Kim, Jun-Young;Lee, Won-Chang
    • IEMEK Journal of Embedded Systems and Applications
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    • v.9 no.4
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    • pp.237-243
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    • 2014
  • In this paper we present an real-time obstacle avoidance technique of autonomous mobile robot with steering system and implementation of user interface for mobile devices with Android platform. The direction of autonomous robot is determined by virtual force field concept, which is based on the distance information acquired from 5 ultrasonic sensors. It is converted to virtual repulsive force around the autonomous robot which is inversely proportional to the distance. The steering system with PD(proportional and derivative) controller moves the mobile robot to the determined target direction. We also use PSD(position sensitive detector) sensors to supplement ultrasonic sensors around dead angle area. The mobile robot communicates with Android mobile device and PC via Ethernet. The video information from CMOS camera mounted on the mobile robot is transmitted to Android mobile device and PC. And the user can control the mobile robot manually by transmitting commands on the user interface to it via Ethernet.

A Study on the Improvement of the Load Pressure Feedback Mechanism of the Proportional Pressure Control Valve (비례압력제어밸브의 부하압력 피드백방법 개선에 관한 연구)

  • Oh, In-Ho;Jang, Ji-Seongng;Lee, Ill-Yeong;Chung, Dai-Jong;Cho, Sung-Hyun
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.21 no.5
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    • pp.719-726
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    • 1997
  • The proportional pressure control valve having versatile functions and higher performance is an essential conponent in the open loop controlled rear wheel steering gear of the four wheel steering system in a passenger car. In this study, the authors suggest a new type of load pressure feedback mechanism which can make it easy to change the range of controlled pressure without changing the capacity of solenoid. The concept of suggested mechanism, composed of the pressure chamber with throttles in series, was described. The mathematical model was derived from the rear wheel steering gear consisting of a valve and a cylinder for the purpose of analyzing the valve characteristics. And the programme for computing the characteristic of the valve was developed. Experiments were performed to confirm the performance of the valve and computations were carried out to ascertain the usefulness of the developed programme. The results from computations fairly coincide with those from experiments. And the results from experiments and computations show that the performance of new valve was as good as that of the already developed one and the new valve has advantages such as the easiness of changing the range of controlled pressure and the decrease of power loss at neutral position without the decline of performance.

A Concrete Model for Analysis of Concrete Structure with Confinement (구속응력을 받는 콘크리트 구조물 해석을 위한 콘크리트 구성모델)

  • Kwon, Min-Ho;Cho, Chang-Geun
    • Journal of the Korea Concrete Institute
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    • v.15 no.3
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    • pp.433-442
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    • 2003
  • This paper presents a hypoplastic model for three-dimensional analysis of concrete structures under monotonic, cyclic, proportional and non-proportional loading. The constitutive model is based on the concept of equivalent uniaxial strains that allows the assumed orthotropic model to be described via three equivalent uniaxial stress-strain curves. The characteristics of these curves are obtained from the ultimate strength surface in the principal stress space based on the Willam-Warnke curve. A cap model is added to consider loading along or near the hydrostatic axis. The equivalent uniaxial curve is based on the Popovics and Saenz models. The post-peak behavior is adjusted to account for the effects of confinement and to describe the change in response from brittle to ductile as the lateral confinement increases. Correlation studies with available experimental tests are presented to demonstrate the model performance. Tests with monotonic loading on specimens under constant lateral confinement are considered first, followed by biaxial and triaxial tests with cyclic loads. The triaxial test example considers non-proportional loading.

REA를 고려한 Lineament density map의 작성 방안 연구

  • 김규범;조민조;이강근
    • Proceedings of the Korean Society of Soil and Groundwater Environment Conference
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    • 2003.04a
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    • pp.97-99
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    • 2003
  • Lineament density maps can be used for the quantitative evaluation of relationship between lineaments and groundwater occurrence. There are several kinds of lineament density maps including lineament length density, lineament cross-points density, and lineament counts density maps. This paper reports the usefulness of the representative elementary area (REA) concept for lineament analysis. This concept refers to the area size of the unit circle to calculate the lineament density factors distributed within the circle: length, counts and cross-points counts. The circle is a unit circle that calculates the sum of the lineament length, lineament counts and the number of cross-points within it. The REA is needed to obtain the best representative lineament density map prior to the analysis of relation between lineaments and groundwater well yield or other groundwater characteristics. A basic lineament map for the Yongsangang-Seomjingang watershed of Korea, drawn from aerial black-and-white photographs of 1/20, 000 scale was used for demonstrating the concept. From this study, the conclusions were as follows: (1) the REA concept can be efficiently applied to the lineament density analysis and mapping, (2) for whole Yongsangang-Seomjingang watershed which has 6, 502 lineaments with an average lineament length of 3.3 km, the lower limits of each REA used for drawing the three density maps were about 1.77 $\textrm{km}^2$ (r=750 m) for lineament length density, 7.07 $\textrm{km}^2$ (r=1, 500 m) for lineament counts density, and 4.91 $\textrm{km}^2$ (r=1, 250 m) for lineament cross-points density, respectively, (3) the lineament densities are inversely proportional to the size of REA, and the REA can be calculated with this inversely linear regression model, (4) if the average lineament density values for the whole study area are known, the most accurate density maps can be drawn using the REAs obtained from each linear regression model, and (5) but critical attention should be paid to draw lineament counts density and lineament cross-points density maps because.

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Study on Applicability of Nonproportional Model for Teaching Second Graders the Number Concept (초등학교 2학년 수 개념 지도를 위한 비비례모델의 적용 가능성 탐색)

  • Kang, Teaseok;Lim, Miin;Chang, Hyewon
    • Journal of Elementary Mathematics Education in Korea
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    • v.19 no.3
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    • pp.305-321
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    • 2015
  • This study started with wondering whether the nonproportional model used in unit assessment for 2nd graders is appropriate or not for them. This study aims to explore the applicability of the nonproportional model to 2nd graders when they learn about numbers. To achieve this goal, we analyzed elementary mathematics textbooks, applied two kinds of tests to 2nd graders who have learned three-digit numbers by using the proportional model, and investigated their cognitive characteristics by interview. The results show that using the nonproportional model in the initial stages of 2nd grade can cause some didactical problems. Firstly, the nonproportional models were presented only in unit assessment without any learning activity with them in the 2nd grade textbook. Secondly, the size of each nonproportional model wasn't written on itself when it was presented. Thirdly, it was the most difficult type of nonproportional models that was introduced in the initial stages related to the nonproportional models. Fourthly, 2nd graders tend to have a great difficulty understanding the relationship of nonproportional models and to recognize the nonproportional model on the basis of the concept of place value. Finally, the question about the relationship between nonproportional models sticks to the context of multiplication, without considering the context of addition which is familiar to the students.

The Introduction and the Use of Number Line on the Learning of Number Concept (수 개념 학습에서 수직선의 도입과 활용)

  • Kim, Yang Gwon;Hong, Jin-Kon
    • Journal of Elementary Mathematics Education in Korea
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    • v.20 no.3
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    • pp.431-456
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    • 2016
  • The purpose of this study is to investigate the appropriate time of introduction and the usage of the number line, in order to suggest the right point of learning the number concept to the elementary school students. For the efficient achievement of this purpose, we investigated the mathematical models for constructing the number concept such as number line, empty number line and double number line, counting and development of number concept. Then, we conducted case study on the time of introduction and the usage of the number line. Finally, we analyzed the result. First, there is need for adjustment to conduct the introduction of the number line from the second year of elementary school, so to help the students understand the continuing number concept through the understanding on the metaphorical concept of the number line. Second, there is the need of positive introduction and the use on the mathematical models; empty number line which helps to draw various thinking strategy visually through the process of operations such as addition and subtraction; the division into equal part and division by equal part in which multiplicative comparative situation or division takes place; the double number line which helps to understand the rate or proportional distribution. Finally, when adopting the number line, the empty number line, or the double number line, we suggested the necessity of learning about elaborate guidance and the usage in order to fully understand the metaphorical concept of the number line.

A Study on the Characteristics of Flexibility in Interior Architectural Composition -focused on Mathematical Arrangement Organization- (실내공간구성의 가변적 표현특성에 관한 연구 -수학적 배열원리를 중심으로-)

  • 이주현;신홍경
    • Korean Institute of Interior Design Journal
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    • no.21
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    • pp.10-16
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    • 1999
  • Mathematics is considered to the beginning of designing thinking because of the sense of logical order system. In this study, it was regarded the mathematics as the logic and the measurement of design system. as is often the case in history, mathematics, it is regard as conceptual model of architectural though, as aesthetic proportional measure and the mirror of thought. The direction of this study is rather multi-sided approaching to the spatial concept than one-sided plane. It is multi-acceptable way to apply mathematical principle to the pace and to be a flexible one. And boundary of interpretation of the flexibility means potential use-ability, and the strictly meaning of flexibility means that the acception of the various Secession and the Change of space. And the various interpretation of the flexibility only can expressed in the relation of opposite concept: the assembly and the disassembly, the expand and the decease, the open and the close and the construct and the de-construct. Mathematics provide the resonable way in architectural thinking and endow the order as logical organizatiov. Regarding these facts, this research is for making it possible to consider the expression property of interior space combination as the way of understanding the accepting of the changes of the times with the mathematical induction, using the rational method like the mathematical arrangement organizatiov.

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A Conceptual Study on Sensibility of Space Design (공간디자인의 감성에 대한 개념적 연구)

  • Lee, Sung-Mi
    • Korean Institute of Interior Design Journal
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    • v.17 no.1
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    • pp.102-109
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    • 2008
  • Recently, as emotional elements have been applied to many fields including marketing, architecture, and design, new understanding on and interest in sensibility are emerging. The sensibility, as opposite meaning to the reason, has been excluded from academic object, and researches in sensibility have been diversified for the meaning, scope, application methods and even application target of sensibility without consistency. This study aims to redefine meaning of sensibility by examining documents related to sensibility, and to examine the features of sensibility in design, especially in space design. Consequently, sensibility was defined to function as a filter which deals with numerous stimulative informations intuitively and uniformly while human gives significance to a stimulus. According to the examination on apparent features of sensibility and studies of sensibility engineering, the sensibility occurs not only by visual and physical stimulus but also by meaningful stimulus, and both are known to have mutual influence on each other. In space design, spaces of many purposes can be categorized into the spaces of routine and out of routine following the empirical time, and physical stimulus and interesting factor pursued by these spaces are inversely proportional. This study is meaningful insofar as it enabled to explain interaction between physical stimulus, meaning, and other factors within sensibility as a comprehensive concept by redefining its concept.