• Title/Summary/Keyword: State equation

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Analysis of an LCLC Resonant Converter with a Capacitive Output Filter

  • Jafarboland, Mehrdad
    • Journal of Power Electronics
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    • v.11 no.5
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    • pp.662-668
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    • 2011
  • This paper presents an analysis of a 4th order LCLC resonant converter with a capacitive output filter using the state-space approach. The analysis of the converter shows that there are four intervals in a half period. In each interval, the state-space equations are obtained. Due to the soft switching of the converter, an exact equation for the Zero Voltage Switching (ZVS) time and the maximum dead time of the inverter switches are presented. The simulation and experimental results obtained from a 10kv, 370w prototype confirm the validity of the theoretical analysis.

Linear system analysis via wavelet-based pole assignment (웨이블릿 기반 극점 배치 기법에 의한 선형 시스템 해석)

  • Kim, Beom-Soo;Shim, Il-Joo
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.57 no.8
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    • pp.1434-1439
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    • 2008
  • Numerical methods for solving the state feedback control problem of linear time invariant system are presented in this paper. The methods are based on Haar wavelet approximation. The properties of Haar wavelet are first presented. The operational matrix of integration and its inverse matrix are then utilized to reduce the state feedback control problem to the solution of algebraic matrix equations. The proposed methods reduce the computation time remarkably. Finally a numerical example is illustrated to demonstrate the validity and applicability of the proposed methods.

Analysis of Output Irregularity from the Transient Behavior of Bundle in a Flow Field (유동계 내 집속체의 과도적 거동에 따른 출력 불균제 해석)

  • Huh Y.;Kim J.S.
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2005.06a
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    • pp.965-968
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    • 2005
  • Roll drafting operation causes variations in the linear density of bundles because the bundle flow cannot be controlled completely by roll pairs. Defects occurring in this operation bring about many problems successively in the next processes. In this paper, we attempt to analyze the draft dynamics and the linear density irregularity based on the governing equation of a bundle motion that has been suggested in our previous studies. For analyzing the dynamic characteristics of the roll drafting operation, it is indispensable to investigate a transient state in time domain before the bundle flux reaches a steady state. However, since governing equations of bundle flow consisting of continuity and motion equations turn out to be nonlinear, and coupled between variables, the solutions for a transient state cannot be obtained by an analytical method. Therefore, we use the Finite Difference Method(FDM), particularly, the FTBS(Forward-Time Backward-Space) difference method. Then, the total equations system yields to an algebraic equations system and is solved under given initial and boundary conditions in an iterative fashion. From the simulation results, we confirm that state variables show different behavior in the transient state; e.g., the velocity distribution in the flow field changes more quickly the linear density distribution. During a transient flow in a drafting zone, the output irregularity is influenced differently by the disturbances, e.g., the variation in input bundle thickness, the drafting speed, and the draft ratio.

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The Characteristics of Undrained Shear Strength for Normally Consolidated Decomposed Weathered Mudstone Soil (정규압밀된 재성형 이암풍화토의 비배수 전단특성)

  • 김영수;김기영;문홍득
    • Journal of the Korean Geotechnical Society
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    • v.18 no.5
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    • pp.7-18
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    • 2002
  • Generally, natural soils are affected by one-dimensional consolidation so that the behavior characteristic could be somewhat different from the isotropic consolidation specimen. But, due to experimental difficulties and the lack of equipment, the isotropic triaxial tests are mainly performed in most lab. tests. So it seems to be very effective if it is possible to predict pore water pressure and undrained shear strength in the $K_o$ state as the results of isotropic triaxial consolidation test. In this study, isotropic triaxial consolidation test and $K_o$ triaxial consolidation test were performed and we obtained parameters related to pore water pressure ratio using the Hyperbolic model. And then we predicted the behavior of pore water pressure that occurred in the $K_o$ state from the results obtained in the isotropic triaxial cosolidation test through the equation suggested by Lo(1969). It is possible to seize the validity of Lo(1969) equation. Also, considering undrained shear strength obtained from consolidation method in relation with water content, we find that consolidation method have an effect on undrained shear strength. Finally, using the Wroth(1984) equation that is based on the theory of critical state, undrained shear strength in the $K_o$ state was predicted from that of the isotropic triaxial consolidation test. The usefulness of the equation was verified by comparing the predicted value with experimental results.

Characteristic equation solution of nonuniform soil deposit: An energy-based mode perturbation method

  • Pan, Danguang;Lu, Wenyan;Chen, Qingjun;Lu, Pan
    • Geomechanics and Engineering
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    • v.19 no.5
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    • pp.463-472
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    • 2019
  • The mode perturbation method (MPM) is suitable and efficient for solving the eigenvalue problem of a nonuniform soil deposit whose property varies with depth. However, results of the MPM do not always converge to the exact solution, when the variation of soil deposit property is discontinuous. This discontinuity is typical because soil is usually made up of sedimentary layers of different geologic materials. Based on the energy integral of the variational principle, a new mode perturbation method, the energy-based mode perturbation method (EMPM), is proposed to address the convergence of the perturbation solution on the natural frequencies and the corresponding mode shapes and is able to find solution whether the soil properties are continuous or not. First, the variational principle is used to transform the variable coefficient differential equation into an equivalent energy integral equation. Then, the natural mode shapes of the uniform shear beam with same height and boundary conditions are used as Ritz function. The EMPM transforms the energy integral equation into a set of nonlinear algebraic equations which significantly simplifies the eigenvalue solution of the soil layer with variable properties. Finally, the accuracy and convergence of this new method are illustrated with two case study examples. Numerical results show that the EMPM is more accurate and convergent than the MPM. As for the mode shapes of the uniform shear beam included in the EMPM, the additional 8 modes of vibration are sufficient in engineering applications.

Determining the appropriate resting energy expenditure requirement for severe trauma patients using indirect calorimetry in Korea: a retrospective observational study

  • Hak-Jae Lee;Sung-Bak Ahn;Jung Hyun Lee;Ji-Yeon Kim;Sungyeon Yoo;Suk-Kyung Hong
    • Journal of Trauma and Injury
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    • v.36 no.4
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    • pp.337-342
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    • 2023
  • Purpose: This study aimed to compare the resting energy expenditure (REE) measured using indirect calorimetry with that estimated using predictive equations in severe trauma patients to determine the appropriate caloric requirements. Methods: Patients admitted to the surgical intensive care unit between January 2020 and March 2023 were included in this study. Indirect calorimetry was used to measure the patients' REE values. These values were subsequently compared with those estimated using predictive equations: the weight-based equation (rule of thumb, 25 kcal/kg/day), Harris-Benedict, Ireton-Jones, and the Penn State 2003 equations. Results: A total of 27 severe trauma patients were included in this study, and 47 indirect calorimetric measurements were conducted. The weight-based equation (mean difference [MD], -28.96±303.58 kcal) and the Penn State 2003 equation (MD, - 3.56±270.39 kcal) showed the closest results to REE measured by indirect calorimetry. However, the REE values estimated using the Harris-Benedict equation (MD, 156.64±276.54 kcal) and Ireton-Jones equation (MD, 250.87±332.54 kcal) displayed significant differences from those measured using indirect calorimetry. The concordance rate, which the predictive REE differs from the measured REE value within 10%, was up to 36.2%. Conclusions: The REE values estimated using predictive equations exhibited substantial differences from those measured via indirect calorimetry. Therefore, it is necessary to measure the REE value through indirect calorimetry in severe trauma patients.

An Accurate Model of Multi-Type Overcurrent Protective Devices Using Eigensystem Realization Algorithm and Practice Applications

  • Cheng, Chao-Yuan;Wu, Feng-Jih
    • Journal of Electrical Engineering and Technology
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    • v.11 no.1
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    • pp.9-19
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    • 2016
  • Accurate models of the characteristics of typical inverse-time overcurrent (OC) protective devices play an important role in the protective coordination schemes. This paper presents a novel approach to determine the OC protective device parameters. The approach is based on the Eigensystem Realization Algorithm which generates a state space model to fit the characteristics of OC protective devices. Instead of the conventional characteristic curves, the dynamic state space model gives a more exact fit of the OC protective device characteristics. This paper demonstrates the feasibility of decomposing the characteristic curve into smooth components and oscillation components. 19 characteristic curves from 13 typical and 6 non-typical OC protective devices are chosen for curve-fitting. The numbers of fitting components required are determined by the maximum absolute values of errors for the fitted equation. All fitted equations are replaced by a versatile equation for the characteristics of OC protective devices which represents the characteristic model of a novel flexible OC relay, which in turn may be applied to improve the OC coordination problems in the sub-transmission and distribution systems.

Numerical Computation of Vertex Behind a Bluff Body in the Flow between Parallel Plates (평행평판 내의 지주에 의한 와동 유동에 관한 수치해석)

  • 김동성;유영환
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.6
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    • pp.1163-1170
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    • 1992
  • A computer program was developed to analyze the two-dimensional unsteady incompressible viscous flow behind a rectangular bluff body between two parallel plates. The Peaceman-Rachford alternating direction implicit numerical method and Wachspress parameter were adopted to solve the governing equations in vorticity-transport and stream function formulation. The steady state flow and the vortex flow behind a rectangular bluff body in a chemical were investigated for Reynolds numbers of 200 and 500. The vortex shedding was generated by a physical pertubation numerically imposed at the center of the flow field for a short time. It was observed that the perturbed flow became periodic after a transient period.

A Comparative Study Between One- and Two-Stage Refrigeration System for the Natural Gas Cooling Process (천연가스 냉각을 위한 1단 냉동과 2단 냉동 사이의 비교연구)

  • Cho, Jung-Ho;Kim, Dong-Min
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.11 no.8
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    • pp.3106-3111
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    • 2010
  • In this study, a comparative study was performed between one- and two-stage refrigeration system to cool the natural gas temperature down to $-40^{\circ}C$ using propane as a chilling medium. As a thermodynamic model, Peng-Robinson equation of state equation was applied and PRO/II with PROVISION release 8.3 at Invensys company was utilized for the simulation of the refrigeration system. Through this study, optimization work showed that two-stage refrigeration system was proven to save about 33.5% refrigeration power consumption compared to the one-stage refrigeration cycle.

A novel analytical approach for advection diffusion equation for radionuclide release from an area source

  • Esmail, S.;Agrawal, P.;Aly, Shaban
    • Nuclear Engineering and Technology
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    • v.52 no.4
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    • pp.819-826
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    • 2020
  • The method of the Laplace transform has been used to obtain an analytical solution of the three-dimensional steady state advection diffusion equation for the airborne radionuclide release from any nuclear installation such as the power reactor in an area source. The present treatment takes into account the removal of the pollutants through the nuclear reaction. We assume that the pollutants are emitted as a constant rate from the area source. This physical consideration is achieved by assuming that the vertical eddy diffusivity coefficient should be a constant. The prevailing wind speed is a constant in 𝑥- direction and a linear function of the vertical height z. The present model calculations are compared with the other models and the available data of the atmospheric dispersion experiments that were carried out in the nuclear power plant of Angra dos Reis (Brazil). The results show that the present treatment performs well as the analytical dispersion model and there is a good agreement between the values computed by our model and the observed data.