• Title/Summary/Keyword: equilibrium point

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A New Approach for Hierarchical Optimization of Large Scale Non-linear Systems (대규모 비선형 시스템의 새로운 계층별 최적제어)

  • Park, Joon-Hoon;Kim, Jong-Boo
    • Journal of the Korean Institute of Telematics and Electronics T
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    • v.36T no.2
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    • pp.21-31
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    • 1999
  • This paper presents a new possibility of calculating optimal control for large scale which consist of non-linear dynamic sub-systems using two level hierarchical structures method. And the proposed method is based on the idea of block pulse transformation to simplify the algorithm and its calculation. This algorithm used an expansion around the equilibrium point of the system to fix the second and higher order terms. These terms are compensated for iteratively at the second level by providing a prediction for the states and controls which form of a part of the higher order terms. In this new approach the quadratic penalty terms are not used in the cost function. This allows convergence over a longer time horizon and also provides faster convergence. And the method is applied to the problem of optimization of the synchronous machine. Results show that the new approach is superior to conventional numerical method or other previous algorithm.

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Selection of an Optimal Entrainer for Extractive Distillation of Azeotropic Acetone/Methanol System (Acetone/Methanol계 공비물의 추출증류를 위한 최적 Entrainer 선정)

  • Lee, JoonMan;Ahn, WonSool
    • Applied Chemistry for Engineering
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    • v.19 no.5
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    • pp.539-546
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    • 2008
  • A study on the selection of an optimal entrainer as the third component among water, aniline, 1,3-diethylbenzene, furfural, and MEK, for the extractive distillation of an azeotropic acetone/methanol system was performed using both the entrainer effect vapor-liquid equilibrium (VLE) and the relative volatility. In the case of water as the entrainer, a VLE curve without azeotropic point in the range of water composition from 0.3 up to 0.7 mole fraction could be obtained by both the experiment and the calculation using modified-UNIFAC model. For aniline and 1,3-diethylbenzene, however, VLE curve without azeotropic point could be obtained only at compositions above 0.7 mole fraction, which exhibited that they could be hardly utilized as the entrainer. Moreover, both furfural and MEK were verified to be improper entrainer since they formed an azeotropic phase. Relative volatility of water showed greater than 1.0 and increased with compositions, while those of the others decreased non-linearly, exhibiting that only water could be utilized as the proper entrainer for the extractive distillation of azeotropic acetone/methanol system.

Height Dependence of Plasma Properties in a Solar Limb Active Region Observed by Hinode/EIS

  • Lee, Kyoung-Sun;Imada, S.;Moon, Y.J.;Lee, Jin-Yi
    • The Bulletin of The Korean Astronomical Society
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    • v.37 no.2
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    • pp.110.2-110.2
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    • 2012
  • We investigate a cool loop and a dark lane over a limb active region on 2007 March 14 by the Hinode/EUV Imaging Spectrometer (EIS). The cool loop is clearly seen in the EIS spectral lines formed at the transition region temperature (log T = 5.8). The dark lane is characterized by an elongated faint structure in coronal spectral lines (log T = 5.8 - 6.1) and rooted on a bright point. We examine their electron densities, Doppler velocities, and non-thermal velocities as a function of distance from the limb using the spectral lines formed at different temperatures (log T = 5.4 - 6.4). The electron densities of the cool loop and the dark lane are derived from the density sensitive line pairs of Mg VII, Fe XII, and Fe XIV spectra. Under the hydrostatic equilibrium and isothermal assumption, we determine their temperatures from the density scale height. Comparing the scale height temperatures to the peak formation temperatures of the spectral lines, we note that the scale height temperature of the cool loop is consistent with a peak formation temperature of the Mg VII (log T = 5.8) and the scale height temperature of the dark lane is close to a peak formation temperature of the Fe XII and Fe XIII (log T = 6.1 - 6.2). It is interesting to note that the structures of the cool loop and the dark lane are most visible in these temperature lines. While the non-thermal velocity in the cool loop slightly decreases (less than 7 km $s^{-1}$) along the loop, that in the dark lane sharply falls off with height. The variation of non-thermal velocity with height in the cool loop and the dark lane is contrast to that in off-limb polar coronal holes which are considered as source of the fast solar wind. Such a decrease in the non-thermal velocity may be explained by wave damping near the solar surface or turbulence due to magnetic reconnection near the bright point.

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Phase behavior of CO2 + H2O + 2,2,3,3,3-pentafluoro-1-propanol mixture (이산화탄소+물+2,2,3,3,3-pentafluoro-1-propanol 혼합물의 상거동)

  • Shin, Hun Yong
    • Clean Technology
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    • v.24 no.4
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    • pp.275-279
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    • 2018
  • In this study, microemulsion formation of water and carbon dioxide was investigated by using surfactant as one of the methods for increasing the mutual solubility between water and carbon dioxide. The surfactant 2,2,3,3,3-Pentafluoro-1-propanol was added to form a microemulsion of water and carbon dioxide. The cloud point change and trend of micro emulsion were investigated by adding water and a certain amount of surfactant, 2,2,3,3,3-Pentafluoro-1-propanol to supercritical carbon dioxide. In the case of surfactant + carbon dioxide system, it was 8.35 ~ 12.69 MPa in temperature range of 313.2 ~ 353.2 K. In the case of water + surfactant + carbon dioxide system, the temperature ranged from 318.2 ~ 338.2 K to pressure range 7.83 ~ 17.28 MPa.

Analysis of Preconcentration Dynamics inside Dead-end Microchannel (막다른 미세유로 내부의 농축 동역학 분석)

  • Hyomin Lee
    • Korean Chemical Engineering Research
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    • v.61 no.1
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    • pp.155-161
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    • 2023
  • Ion concentration polarization (ICP) is one of the essential important mechanisms for biomolecule preconcentration devices as well as a fundamental transport phenomenon found in electrodialysis, electrochemical cell, etc. The ICP triggered by externally applied voltage enables the biomolecular analyte to be preconcentrated at an arbitrary position by a locally amplified electric field inside the microchannel. Conventional preconcentration methodologies using the ICP have two limitations: uncertain equilibrium position and hydrodynamic instability of preconcentration plug. In this work, a new preconcentration method in the dead-end microchannel around cation exchange membrane was numerically studied to resolve the limitations. As a result, the numerical model showed that the analyte was concentrated at a shock front developed in a geometrically confined dead-end channel. Furthermore, the electrokinetic behaviors for preconcentration dynamics were analyzed by changing microchannel's applied voltage and volumetric charge concentration of microchannel as key parameters to describe the dynamics. This work would provide an effective means for a point-of-care platform that requires ultra-fast preconcentration method.

Estimating the Price of Standard Waste Bags Using a Structural Model (구조모형을 이용한 적정 종량제 봉투 가격 추정에 관한 연구)

  • Yang, Jun Seok;Choi, Eun Chul;Lee, Sangheon
    • Environmental and Resource Economics Review
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    • v.31 no.1
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    • pp.31-50
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    • 2022
  • This paper estimates the price of standard waste bags that satisfies the polluter pays principle. Unlike previous studies, this paper suggests a method that can find new equilibrium prices using a structural relationship between the demand and cost function for the wastes. To do this, we employ the fixed-point iteration. The main findings of this paper are as follows. Assuming that the polluter pays principle is achieved at the average cost for the waste treatment, the price need to be set at a level about 3.12 times higher than the current one. The estimation result using a structural model, however, shows that the price should be set at a level four times higher than the present. This results are because the quantities reduced of the wastes make the cost per quantity of wastes due to the fixed costs increase. If applying the estimated price to the demand function, the amount of discharge of waste generated nationwide can be reduced by 10%.

Thermal based adsorption of daily food waste with the test of AI grey calculations

  • ZY Chen;Huakun Wu;Yahui Meng;ZY Gu;Timothy Chen
    • Membrane and Water Treatment
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    • v.15 no.3
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    • pp.107-115
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    • 2024
  • This study proposes the recycling of MVS as a value-added product for the removal of phosphate from aqueous solutions. By comparing the phosphate adsorption capacity of each calcined adsorbent at each temperature of MVS, it was determined that the optimal heat treatment temperature of MVS to improve the phosphate adsorption capacity was 800 ℃. MVS-800 suggests an adsorption mechanism through calcium phosphate precipitation. Subsequent kinetic studies with MVS-800 showed that the PFO model was more appropriate than the PSO model. In the equilibrium adsorption experiment, through the analysis of Langmuir and Freundlich models, Langmuir can provide a more appropriate explanation for the phosphate adsorption of MVS-800. This means that the adsorption of phosphate by MVS-800 is uniform over all surfaces and the adsorption consists of a single layer. Thermodynamic analysis of thermally activated MVS-800 shows that phosphate adsorption is an endothermic and involuntary reaction. MVS-800 has the highest phosphate adsorption capacity under low pH conditions. The presence of anions in phosphate adsorption reduces the phosphate adsorption capacity of MVS-800 in the order of CO 3 2-, SO 4 2-, NO 3- and Cl-. Based on experimental data to date, MVS-800 is an environmentally friendly adsorbent for recycling waste resources and is considered to be an adsorbent with high adsorption capacity for removing phosphates from aqueous solutions. This paper combines the advantages of gray predictor and AI fuzzy. The gray predictor can be used to predict whether the bear point exceeds the allowable deviation range, and then perform appropriate control corrections to accelerate the bear point to return to the boundary layer and achieve.

Absorption Spectroscopic Studies of Prodigiosin Extracted from Serratia Marcescens Strain (Serratia marcescens 균주로부터 추출한 Prodigiosin의 흡수분광학적 연구)

  • Park, Hee-Aurk
    • Journal of the Korean Applied Science and Technology
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    • v.36 no.1
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    • pp.355-361
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    • 2019
  • The red pigment extracted from Serratia marcescens 2354 (ATCC 25419) was prodigiosin (PG), which was dissolved in methanol and measured for ultraviolet and visible light absorption spectra. It was the typical absorption spectrum of PG in an acid solution with ${\lambda}_{max}=537nm$. When the concentration of PG was increased from $1.0{\times}10-5M$ to $9.0{\times}10-5M$ in the methanol solution, the absorption intensity at 537 nm was increased, the absorption intensity at 467 nm was decreased, and the isosbestic point at 500 nm was observed. This phenomenon can be regarded as a result of reversible acid-base equilibrium reaction considering 537 nm and 467 nm of PG absorption band in acid and base solution respectively and isosbestic point of 500 nm. On the other hand, when the concentration of PG was reduced from $6.0{\times}10-4$ to $1.0{\times}10-4M$ in acetic acid buffer solution at pH 4.75, a new absorption band with ${\lambda}$ max at 500 nm appeared. This absorption band appears only in the aqueous solution of pH 4.75 and does not appear in the pure methanol solution of the same pH. This is due to the conversion of the PG molecule from the ${\alpha}$-isomer to the ${\beta}$-isomer by $H_2O$. In other words, it was confirmed that the color change of the PG can be caused by the concentration of the solution and the characteristics of the solvent.

Redox Behavior of Sn and S in Alkaline Earth Borosilicate Glass Melts with 1 mol% Na2O

  • Kim, Ki-Dong;Kim, Hyo-Kwang
    • Journal of the Korean Ceramic Society
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    • v.46 no.3
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    • pp.271-274
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    • 2009
  • Redox investigation of Sn and S ion was attempted in alkaline earth borosilicate glass melts with only 1 mol% $Na_2O$ by means of Square Wave Voltammetry (SWV). According to voltammograms, there was only one peak due to $Sn^{4+}/Sn^{2+}$ in melt doped with $SnO_2$. The calculated standard enthalpy and entropy of the reduction of $Sn^{4+}$ to $Sn^{2+}$ were 116kJ/mole and 62 J/mol K, respectively. The determined redox ratio, [$Sn^{2+}$] / [$Sn^{4+}$] in the temperature range of $1300{\sim}1600^{\circ}C$ was in $0.4{\sim}2.1$. On the contrary, in the voltammogram of melt doped with $BaSO_4$ there was no peak due to $S^{4+}/S^o$ but shoulder that might be attributed to the adsorption of sulfur at the electrode. The absence of the peak related with $S^{4+}/S^o$ was discussed from the view-point of the thermal decomposition behavior of $BaSO_4$ in the glass batch.

Mesh topological form design and geometrical configuration generation for cable-network antenna reflector structures

  • Liu, Wang;Li, Dong-Xu;Jiang, Jian-Ping
    • Structural Engineering and Mechanics
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    • v.45 no.3
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    • pp.411-422
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    • 2013
  • A well-designed mesh shape of the cable net is of essential significance to achieve high performance of cable-network antenna reflectors. This paper is concerned with the mesh design problem for such antenna reflector structure. Two new methods for creating the topological forms of the cable net are first presented. Among those, the cyclosymmetry method is useful to generate different polygon-faceted meshes, while the topological mapping method is suitable for acquiring triangle-faceted meshes with different mesh grid densities. Then, the desired spatial paraboloidal mesh geometrical configuration in the state of static equilibrium is formed by applying a simple mesh generation approach based on the force density method. The main contribution of this study is that a general technical guide for how to create the connectivities between the nodes and members in the cable net is provided from the topological point of view. With the new idea presented in this paper, multitudes of mesh configurations with different net patterns can be sought by a certain rule rather than by empiricism, which consequently gives a valuable technical reference for the mesh design of this type of cable-network structures in the engineering.