• Title/Summary/Keyword: state equations

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State-of-the-art of Pier Scour Prediction for Design Application

  • Choi, Gye-Woon;Ahn, Sang-Jin;Kang, Kwan-Won
    • Korean Journal of Hydrosciences
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    • v.2
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    • pp.39-59
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    • 1991
  • Scour at bridge pier is a complicated three-dimensional problem involving interaction of fluld force on movable aid nonuniformily distributed sand grains. Although several analytical solution approaches, experimental research and field investigations for scout at piers have been conducted, no comprehensive and universally acceptable solution is so far available. Even though many methods and equations for predicting scour at piers are available in the literature, hydraulic and/or bridge design engineers are often at a loss over which method or equation is applicable for the specific bridge sites. To provide better understanding about scour phenomena and better predicting of scour at piers, intensive research is conducted through comprehensive review of published literature. Based on the research the state-of-the-art of pier scour prediction for design application is provided as a design guide for practicing engineers in this field. Recommendations for applying aggradation and degradation, contraction scour, and local scour prediction methods or equations are suggested. It is hoped that this paper may provide good information for the prediction of scour at piers.

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A LQ-PID Controller Tuning for TITO System (TITO 시스템의 LQ-PID 제어기 동조)

  • Lee, Dong-Bae;Suh, Byung-Suhl
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.29 no.9C
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    • pp.1252-1257
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    • 2004
  • This paper presents a decentralized LQ-PID controller for the TITO system which satisfies the performance of good command following, disturbance rejection, and sensor noise reduction that is design specifications in the frequency domain The procedure is developed by establishing the relationship between the closed-loop state equations including the decentralized PID tuning parameters and the closed-loop state equations of LQR and by selecting the weighting factors Q and R of the cost function in order to satisfy the design specifications in the frequency domain.

Steady state Operatong Characteristics (PWM Buck-Boost AC-AC 컨버터의 정상상태 동작특성)

  • 최남섭
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2002.11a
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    • pp.430-434
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    • 2002
  • Recently, lot of researchers pay attention to custom power equipments for power quality improvement, especially, voltage stabilization equipment using PWM AC-AC converter. In this paper, voltage regulation system with PWM Buck-Boost AC-AC converter is proposed and then the system is modelled and analyzed by using of Circuit DQ transformation whereby steady state characteristics such as equations for voltage gain and power factor are obtained. The equations become guide line for system design by showing the effect on system operations. Finally, some experiment will show validity of analysis.

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Vertical vibrations of a multi-span beam steel bridge induced by a superfast passenger train

  • Klasztorny, M.
    • Structural Engineering and Mechanics
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    • v.12 no.3
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    • pp.267-281
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    • 2001
  • Transient and quasi-steady-state vertical vibrations of a multi-span beam steel bridge located on a single-track railway line are considered, induced by a superfast passenger train, moving at speed 120-360 km/h. Matrix dynamic equations of motion of a simplified model of the system are formulated partly in the implicit form. A recurrent-iterative algorithm for solving these equations is presented. Excessive vibrations of the system in the resonant zones are reduced effectively with passive dynamic absorbers, tuned to the first mode of a single bridge span. The dynamic analysis has been performed for a series of types of bridges with span lengths of 10 to 30 m, and with parameters closed to multi-span beam railway bridges erected in the second half of the $20^{th}$ century.

A Study on Bipolar DC-DC Converter for Low Voltage Direct Current Distribution (저압 직류 배전용 양극성 DC-DC 컨버터에 관한 연구)

  • Lee, Jung-Yong;Kim, Ho-Sung;Cho, Jin-Tae;Kim, Ju-Yong;Cho, Younghoon
    • The Transactions of the Korean Institute of Power Electronics
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    • v.24 no.4
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    • pp.229-236
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    • 2019
  • This study proposes a DC-DC converter topology of solid-state transformer for low-voltage DC distribution. The proposed topology consists of a voltage balancer and bipolar DC-DC converter. The voltage and current equations are obtained on the basis of switching states to design the controller. The open-loop gain of the controller is achieved using the derived voltage and current equations. The controller gain is selected through the frequency analysis of the loop gain. The inductance and capacitance are calculated considering the voltage and current ripples. The prototype is fabricated in accordance with the designed system parameters. The proposed topology and designed controller are verified through simulation and experiment.

Steady and Transient Solution of heat Conduction from hurried Pipes of panel heating Slab (상-파넬 히-팅의 해석법)

  • Lee Kun
    • The Magazine of the Society of Air-Conditioning and Refrigerating Engineers of Korea
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    • v.3 no.3
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    • pp.185-190
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    • 1974
  • Floor panel heating system is popular in Korea as dwelling house heating system. There are two methods for keeping floor surface warm. One method is delivering warm air under the floor such as Roman Hypocaust and Korean traditional Ondol. The other method is imbedding hot water pipes into the concrete floor slab. This paper gives basic equations for steady and transient solutions of heat conduction from hurried pipes. For steady-state solution, fin Efficiency Method and Sink and Source Method were introduced. Sink and Source Method is applied to transient state and basic solution is given in the form of Exponential Integral Function. Numerical solutions can be solved easily by digital computer from these equations.

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Caculating Ship Rudder Angle and Real-Time Mass Estimator Under Dynamic State (동적 상태의 선박 조향각 및 실시간 질량 추정 시스템)

  • Jin–hyuk Myung
    • Proceedings of the Korean Institute of Navigation and Port Research Conference
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    • 2022.06a
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    • pp.31-32
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    • 2022
  • In Early vessels did not provide an exact equation for preventig the capsizing vessels. On land, many vehicle rollover prevention technologies using the steady-state Conrning Equations were developed, which showed better performance than the exiting method at sea. For better performance, It is proposed to improve safety mangement when turning vessel using the Ackerman geometic model-based Cornering Equations in this paper.

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NUMERICAL RESULTS ON ALTERNATING DIRECTION SHOOTING METHOD FOR NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS

  • Kim, Do-Hyun
    • The Pure and Applied Mathematics
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    • v.15 no.1
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    • pp.57-72
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    • 2008
  • This paper is concerned with the numerical solutions to steady state nonlinear elliptical partial differential equations (PDE) of the form $u_{xx}+u_{yy}+Du_{x}+Eu_{y}+Fu=G$, where D, E, F are functions of x, y, u, $u_{x}$, and $u_{y}$, and G is a function of x and y. Dirichlet boundary conditions in a rectangular region are considered. We propose alternating direction shooting method for solving such nonlinear PDE. Numerical results show that the alternating direction shooting method performed better than the commonly used linearized iterative method.

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PARALLEL ALGORITHMS FOR INTEGRATION OF NAVIER-STOKES EQUATIONS BASED ON THE ITERATIVE SPACE-MARCHING METHOD

  • Skurin Leonid I.
    • Journal of computational fluids engineering
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    • v.10 no.1
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    • pp.67-72
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    • 2005
  • This research is based on the iterative space-marching method for incompressible and compressible Navier-Stokes equations[1-4]. A principle of parallel computational schemes construction for steady and unsteady problems is suggested. It is analytically proven that convergence of these schemes is unconditional for incompressible case. When the parallel scheme is used the total volume of computations is the sum of a large number of independent and equal parts. Estimation of the speed-up K shows that K > 1000 in ideal case. First results of using the parallel schemes are presented.

Optimal Control of Dualistic Economic Growth

  • Park, Sung-Joo
    • Journal of Korean Institute of Industrial Engineers
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    • v.4 no.2
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    • pp.107-118
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    • 1978
  • The paper illustrates a possible application of control theory to an economic growth system. Simultaneous nonlinear system of differential equations has been modeled which is different from the traditional formulation, based on the theory of economic growth for a two-sector (dual) economy. Necessary and sufficient conditions for the existence of the optimal control are derived directly from the Hamiltonian, and the optimal controls are also obtained by solving simultaneous equations. Obtaining the trajectories of the optimal control and state variables, however, should rely on the numerical procedures. Empirical application has been conducted for the case of the Korean economy as an illustration.

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