• Title/Summary/Keyword: State of equations

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Rigorous dynamic simulation and determination of initial operating conditions for two-bed PSA processes (두 탑 PSA공정의 상세 동적모사 및 초기운전조건 결정)

  • Hwang, Deok-Jae;Moon, Il
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.1520-1523
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    • 1997
  • A rigorous dynamic simulation was performed in binary gas mixture H$_{2}$/CO (70:30 vol.%) to determinate start-up operating conditions of PSA(Pressure Swing Adsorption) processes. The rigorous dynamic model for the PSA process contains an Ergun equation for expressing the pressure drop in a bed, and valve equations to compute the boundary pressure change of the bed. As the result of the continuous dynamic simulation of 100 operating cyles in various initial conditions, the unsteady-state appeared in the early period and the cyclic steady-state came out about 20th cycle in feed condition and vaccum condition, and 30th cycle in pure H$_{2}$ condition. As time goes by valve equations made change the pressure at each end of the bed in ressurization, countercurrunt-depressurization and pressure equalization steps. The H$_{2}$ purity and the recovery is 99.99% and 86.73% respectively, which is slightly higher than the experimental data. Main contributiion of this study includes supplying fundamental technologies of handling combined variables PSA processes by developing rigorous models.

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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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An Approximate Analysis of a Stochastic Fluid Flow Model Applied to an ATM Multiplexer (ATM 다중화 장치에 적용된 추계적 유체흐름 모형의 근사분석)

  • 윤영하;홍정식;홍정완;이창훈
    • Journal of the Korean Operations Research and Management Science Society
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    • v.23 no.4
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    • pp.97-109
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    • 1998
  • In this paper, we propose a new approach to solve stochastic fluid flow models applied to the analysis of ceil loss of an ATM multiplexer. Existing stochastic fluid flow models have been analyzed by using linear differential equations. In case of large state space, however. analyzing stochastic fluid flow model without numerical errors is not easy. To avoid this numerical errors and to analyze stochastic fluid flow model with large state space. we develope a new computational algorithm. Instead of solving differential equations directly, this approach uses iterative and numerical method without calculating eigenvalues. eigenvectors and boundary coefficients. As a result, approximate solutions and upper and lower bounds are obtained. This approach can be applied to stochastic fluid flow model having general Markov chain structure as well as to the superposition of heterogeneous ON-OFF sources it can be extended to Markov process having non-exponential sojourn times.

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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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A Study on the 3-D Unsteady State Heat Transfer Coupled by Conductive Currents (전기장 변화에 따른 3차원 비정상 상태 열전달 연계 해석에 관한 연구)

  • Kwac, L.K.;Kim, H.G.
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.17 no.1
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    • pp.29-34
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    • 2008
  • A modeling technique for the 2-way coupling of heat transfer and conduction currents has been performed to inspire a combined analytical simulation. The 3-D finite element method is used to solve steady conduction currents and heat generation in an aluminum film deposited on a silicon substrate. The model investigates the temperature in the device after the current is applied. The conservation equation of energy, the Maxwell equations for conduction currents, the unsteady state heat transfer equation and the Fourier's law for heat transfer are implemented as a bidirectionally coupled problem. It is found that the strongly coupled temperature and time dependent heat equations give a reasonable results and an explicit solving technique.

입도분석과 현장수리시험에 의한 수리전도도의 특성 비교

  • Ham Se-Yeong;Jeong Jae-Yeol;Lee Jeong-Hwan;Kim Hyeong-Su;Han Jeong-Sang
    • Proceedings of the Korean Society of Soil and Groundwater Environment Conference
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    • 2005.04a
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    • pp.446-450
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    • 2005
  • Hydraulic conductivity of unconsolidated media can be determined by aquifer tests, laboratory tests and empirical equations based on grain size analysis. Commonly, the different methods give different hydraulic conductivities. Grain size measurements were done to determine hydraulic conductivity, using 184 soil samples collected from eight boreholes in a riverbank filtration area, Daesan-Myeon, Changwon City, Korea, Pumping tests were conducted at the riverbank filtration area. The average hydraulic conductivity by the empirical relations from grain size measurements comes out around $10^{-2}m/s$, 22 to 55 times higher than by the pumping test analyses. The hydraulic conductivity obtained from the empirical equations is interpreted to have a relationship with steady-state condition while that obtained from the pumping tests is interpreted to have a relationship with unsteady-state condition. Thus, hydraulic conductivity obtained from various methods should be critically analyzed for reasonable management of groundwater development.

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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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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.

A Class of Singular Quadratic Control Problem With Nonstandard Boundary Conditions

  • Lee, Sung J.
    • Honam Mathematical Journal
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    • v.8 no.1
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    • pp.21-49
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    • 1986
  • A class of singular quadratic control problem is considered. The state is governed by a higher order system of ordinary linear differential equations and very general nonstandard boundary conditions. These conditions in many important cases reduce to standard boundary conditions and because of the conditions the usual controllability condition is not needed. In the special case where the coefficient matrix of the control variable in the cost functional is a time-independent singular matrix, the corresponding optimal control law as well as the optimal controller are computed. The method of investigation is based on the theory of least-squares solutions of multi-valued operator equations.

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