• 제목/요약/키워드: Equilibrium model

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기능화된 실리카 비드를 이용한 수용액상의 중금속 이온의 제거공정에 대한 모사 연구 (A Simulation Study on the Removal Process of the Heavy Metal Ion in Aqueous Solution by the Functionalized Silica Beads)

  • 우윤환;주창업
    • 청정기술
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    • 제17권2호
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    • pp.150-155
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    • 2011
  • 본 연구에서는 수용액상의 금속이온을 기능화된 구형의 실리카 담체를 이용하여 제거하는 공정에 대하여 유한 차분법을 이용하여 모사하였다. 평형 모델과 비평형 모델을 수립하여 무차원 변수와 각종 변수에 대한 영향을 살펴보았으며 평형 모델과 비평형 모델의 결과를 비교하였다. 평형모델의 경우 Freundlich 등온식을 사용하였으며 비평형 모델의 경우 1차 반응속도를 가정하였다. 평형모델과 비평형 모델의 경우 변수값에 따라 비슷한 경향을 나타내었으며 금속이온 제거공정의 효율을 예측할 수 있었다. 문헌에 제시된 실험값을 활용하여 평형 모델의 예측 결과를 비교한 결과 부합되는 결과를 나타내었다.

도매전력시장에서 N-발전사업자의 보수행렬을 이용한 꾸르노 모델의 내쉬균형점 도출을 위한 방법론 (Approach for Evaluating the Nash Equilibrium of Cournot Game Model for N-Gencos by Using Payoff Matrix in Wholesale Electricity Market)

  • 박종배;임정열;이기송;신중린
    • 대한전기학회논문지:전력기술부문A
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    • 제54권2호
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    • pp.97-106
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    • 2005
  • This paper presents a method for evaluating the nash equilibrium of the Cournot model for N-Gencos in wholesale electricity market. In wholesale electricity market, the strategies of N-Gencos can be applied to the game model under the conditions, which the Gencos determine their strategies to maximize their benefit. Generally, the Lemke algorithm has known as the approach to evaluate the mixed nash equilibrium in the only two-player game model. In this paper, we have developed the necessary condition for obtaining the mixed nash equilibrium of N-player by using the Lemke algorithms. However, it is difficult to find the mixed nash equilibrium of two more players by using the analytic method since those have the nonlinear characteristics. To overcome the above problem, we have formulated the object function satisfied with the proposed necessary conditions for N-player nash equilibrium and applied the modified particle swarm optimization (PSO) method to obtain the equilibrium for N-player. To present the effectiveness the proposed necessary condition and the evaluation approach, this paper has shown the results of equilibrium of sample system and the cournot game model for 3-players.

Strategy Equilibrium in Stackelberg Model with Transmission Congestion in Electricity Market

  • Lee, Kwang-Ho
    • Journal of Electrical Engineering and Technology
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    • 제9권1호
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    • pp.90-97
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    • 2014
  • Nash Cournot Equilibrium (NCE) has been widely used in a competitive electricity market to analyze generation firms' strategic production quantities. Congestion on a transmission network may lead to a mixed strategy NCE. Mixed strategy is complicated to understand, difficult to compute, and hard to implement in practical market. However, Stackelberg model based equilibrium does not have any mixed strategy, even under congestion in a transmission line. A guide to understanding mixed strategy equilibrium is given by analyzing a cycling phenomenon in the players' best choices. This paper connects the concept of leader-follower in Stackelberg model with relations between generation firms on both sides of the congested line. From the viewpoint of social welfare, the surplus analysis is presented for comparison between the NCE and the Stackelberg equilibrium (SE).

A Linearized Transmission Model Based Market Equilibrium In Locational Pricing Environments

  • Joung, Man-Ho;Kim, Jin-Ho
    • Journal of Electrical Engineering and Technology
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    • 제2권4호
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    • pp.494-499
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    • 2007
  • In this paper, we have investigated how transmission network constraints can be modeled in an electricity market equilibrium model. Under Cournot competition assumption, a game model is set up considering transmission line capacity constraints. Based on locational marginal pricing principle, market clearing is formulated as a total consumers# benefit maximization problem, and then converted to a conventional optimal power flow (OPF) formulation with a linearized transmission model. Using market clearing formulation, best response analysis is formulated and, finally, Nash equilibrium is formulated. In order for illustration, a numerical study for a four node system with two generating firms and two loads are presented.

Application of a non-equilibrium ionization model to rapidly heated solar plasmas

  • Lee, Jin-Yi;Raymond, John C.;Reeves, Katharine K.;Shen, Chengcai;Moon, Yong-Jae;Kim, Yeon-Han
    • 천문학회보
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    • 제44권1호
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    • pp.53.1-53.1
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    • 2019
  • We apply a non-equilibrium ionization (NEI) model to a supra-arcade plasma sheet, shocked plasma, and current sheet. The model assumes that the plasma is initially in ionization equilibrium at low temperature, and it is heated rapidly by a shock or magnetic reconnection. The model presents the temperature and characteristic timescale responses of the Atmospheric Imaging Assembly (AIA) on board Solar Dynamic Observatory and X-ray Telescope (XRT) on board Hinode. We compare the model ratios of the responses between different passbands with the observed ratios of a supra-arcade plasma sheet on 2012 January 27. We find that most of observations are able to be described by using a combination of temperatures in equilibrium and the plasma closer to the arcade may be close to equilibrium ionization. We also utilize the set of responses to estimate the temperature and density for shocked plasma associated with a coronal mass ejection on 2010 June 13. The temperature, density, and the line of sight depth ranges we obtain are in reasonable agreement with previous works. However, a detailed model of the spherical shock is needed to fit the observations. We also compare the model ratios with the observations of a current sheet feature on 2017 September 10. The long extended current sheet above the solar limb makes it easy to analyze the sheet without background corona. We find that the sheet feature is far from equilibrium ionization while the background plasma is close to equilibrium. We discuss our results with the previous studies assuming equilibrium ionization.

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집적 (불)경제와 공간경제로서의 지역 경제 성장 (Agglomeration (Dis-) Economies and Regional Economic Growth as a Spatial Economy)

  • 김홍배;박재룡
    • 지역연구
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    • 제13권2호
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    • pp.45-54
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    • 1997
  • A regional economy is characterized as a spatial economy. However the literature shows that it has been treated as a point economy since space is little recognized in regional modeling due to mathematical complication. This leads to the fact that regional model does not sufficiently represent regional characteristic. This paper attempts to construct a regional growth model in a partial equilibrium framework specifically taking into consideration land as a primary factor. The model is formulated largely neoclassical. Labor is assumed to move in response to differences in the wage rate, while capital is perfectly mobile across regions. The paper shows that two growth equilibrium points exist, one stable equilibrium point and the other unstable equilibrium point. The unstable growth equilibrium indicates the existence of minimum threshold that a region must overcome the minimum threshold to grow constantly. Consequently, directions of regional growth are characterized by two growth paths depending on the initial condition of a region. That is to say, a region below the minimum threshold is converging toward the lower stable equilibrium point over time. When a regional economy initially lies above the minimum threshold, it will grow forever. A regional economy is not thus necessarily converging a stationary is not thus necessarily converging a stationary equilibrium point through factor movement. Finally, the impacts of the presence of agglomeration economies and diseconomies are analyzed through the phase diagram. The paper also shows that agglomeration economies result in lowering the minimum threshold and in escalating the level of stable equilibrium However, when agglomeration diseconomies prevail, the results are opposite, i.e., rising the minimum threshold of growth and lowering the growth level of stable equilibrium.

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균형 통행분포모형연구 (Equilibrium trip distribution model)

  • 임용택
    • 대한교통학회지
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    • 제28권6호
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    • pp.159-166
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    • 2010
  • 통행분포(trip distribution)에서는 첫 단계인 통행발생(trip generation)에서 구해진 통행 유출량(trip production)과 통행 유입량(trip attraction)을 연결시키는 작업이 행해진다. 즉 하나의 존에서 유출되는 통행량을 다른 존에 분포시키는 과정이라 할 수 있다. 그런데, 통행분포모형에 사용되는 통행시간이나 비용 등의 통행저항들이 통행수요가 변함에 따라 함께 변함에도 불구하고 현재 사용하고 있는 중력모형에서는 이를 고려하지 못하는 한계를 갖고 있다. 즉, 목적지까지의 통행비용이 커지면 통행수요는 줄어들며, 반대로 통행비용이 적으면 통행수요가 커지는 것과 같은 관계가 존재하게 된다. 이런 측면에서 본 연구는 통행분포시 목적지간에 균형(equilibrium condition of trip distribution)이 존재함을 증명한다. 이를 위하여 대표적인 통행분포모형인 중력모형을 이용하여 통행분포시 균형조건을 유도하며, 이런 균형조건을 만족시키는 통행분포를 구하는 방법론을 제시한다. 또한, 본 연구에서 제시된 모형은 간단한 예제를 통하여 평가하며, 통행분포시 균형상태의 해가 도출됨을 확인한다.

폐 활성슬러지를 이용한 Rhodamine B의 생체흡착:흡착평혀여 및 흡착속도 모델링 (Biosorption of Rhodamine B onto Waste Activated Sludge: Equilibrium and Kinetic Modelling)

  • 이창한;안갑환
    • 한국환경과학회지
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    • 제14권9호
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    • pp.881-888
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    • 2005
  • The biosorption of dye, Rhodamine B(Rh-B), onto waste activated sludge was investigated. The biosorption capacity and contact time were shown as a simulation of dye adsorption equilibrium and kinetics models. We observed that biosorption of Rh-B occurred rapidly less than 4 hr. These experimental data could be better fitted by a pseudo-second-order rate equation than a pseudo-first-order rate equation. The equilibrium dependence between biosorption capacity and initial concentration of Rh-B was estimated and it was found that the equilibrium data of biosorption were fitted by four kinds of model such as Langmuir, Freundlich, Redlich-Peterson, and Koble-Corrigan model. The average percentage errors, $\varepsilon(\%)$, observed between experimental and predicted values by above each model were $21.19\%,\;9.97\%,\;10.10\%\;and\;11.76\%$, respectively, indicating that Freundlich and Redlich-Peterson model could be fitted more accrately than other models.

교통망에서 다차종 통행을 고려하는 통행배정모형 수립 (A Traffic Assignment Model in Multiclass Transportation Networks)

  • 박구현
    • 한국경영과학회지
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    • 제32권3호
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    • pp.63-80
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    • 2007
  • This study is a generalization of 'stable dynamics' recently suggested by Nesterov and de Palma[29]. Stable dynamics is a new model which describes and provides a stable state of congestion in urban transportation networks. In comparison with user equilibrium model that is common in analyzing transportation networks, stable dynamics requires few parameters and is coincident with intuitions and observations on the congestion. Therefore it is expected to be an useful analysis tool for transportation planners. An equilibrium in stable dynamics needs only maximum flow in each arc and Wardrop[33] Principle. In this study, we generalize the stable dynamics into the model with multiple traffic classes. We classify the traffic into the types of vehicle such as cars, buses and trucks. Driving behaviors classified by age, sex and income-level can also be classes. We develop an equilibrium with multiple traffic classes. We can find the equilibrium by solving the well-known network problem, multicommodity minimum cost network flow problem.

만성질환 노인의 건강 평형감에 대한 개념분석 (Concept Analysis of Health Equilibrium in the Community-dwelling Elderly With Chronic Diseases)

  • 김정수
    • 한국보건간호학회지
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    • 제26권3호
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    • pp.428-439
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    • 2012
  • Purpose: The purpose of this study was to define and clarify the concept of 'equilibrium' in community-dwelling elderly persons with chronic diseases. Methods: A hybrid model was used for development of the concept of equilibrium. The model included a field study conducted in Seoul, Korea. Participants in this study included 12 elderly persons with chronic diseases who were taking medicine regularly. Results: The concept of equilibrium was found to be a complex phenomenon having meaning in two dimensions: the family-friendly and social relation-oriented dimensions. Four attributes and nine indicators were defined. Conclusion: Equilibrium was defined as the state of having health recognition, will power, and motive power (family-friendly dimension) and having a feeling of participation (social relation-oriented). Therefore, nurses who work with elderly persons with chronic disease in the community should be aware of the attributes and indicators of equilibrium in order to enhance the equilibrium of their elderly clients with chronic diseases.