• Title/Summary/Keyword: Equilibrium property

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The Ramp-Rate Constraint Effects on the Generators' Equilibrium Strategy in Electricity Markets

  • Joung, Man-Ho;Kim, Jin-Ho
    • Journal of Electrical Engineering and Technology
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    • v.3 no.4
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    • pp.509-513
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    • 2008
  • In this paper, we investigate how generators' ramp-rate constraints may influence their equilibrium strategy formulation. In the market model proposed in this study, the generators' ramp-rate constraints are explicitly represented. In order to fully characterize the inter-temporal nature of the ramp-rate constraints, a dynamic game model is presented. The subgame perfect Nash equilibrium is adopted as the solution of the game and the backward induction procedure for the solution of the game is designed in this paper. The inter-temporal nature of the ramp-rate constraints results in the Markov property of the game, and we have found that the Markov property of the game significantly simplifies the subgame perfect Nash equilibrium characterization. Finally, a simple electricity market numerical illustration is presented for the successful application of the approach proposed.

A Discretization Algorithm for Bi-Matrix Game Approach to Power Market Analysis (전력시장 해석을 위한 Bi-matrix 게임의 이산화 알고리즘)

  • 이광호
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.52 no.1
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    • pp.62-67
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    • 2003
  • An important aspect of the study of power system markets involves the assessment of strategic behavior of participants for maximizing their profits. In models of imperfect competition of a deregulated electricity system, the key task is to find the Nash equilibrium. In this paper, the bimatrix approach for finding Nash equilibria in electricity markets is investigated. This approach determines pure and mixed equilibria using the complementarity pivot algorithim. The mixed equilibrium in the matrix approach has the equal number of non-zero property. This property makes it difficult to reproduce a smooth continuous distribution for the mixed equilibrium. This paper proposes an algorithm for adjusting the quantization value of discretization to reconstruct a continuous distribution from a discrete one.

COINCIDENCE THEOREMS ON A PRODUCT OF GENERALIZED CONVEX SPACES AND APPLICATIONS TO EQUILIBRIA

  • Park, Se-Hie;Kim, Hoon-Joo
    • Journal of the Korean Mathematical Society
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    • v.36 no.4
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    • pp.813-828
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    • 1999
  • In this paper, we give a Peleg type KKM theorem on G-convex spaces and using this, we obtain a coincidence theorem. First, these results are applied to a whole intersection property, a section property, and an analytic alternative for multimaps. Secondly, these are used to proved existence theorems of equilibrium points in qualitative games with preference correspondences and in n-person games with constraint and preference correspondences for non-paracompact wetting of commodity spaces.

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ON ASYMPTOTIC PROPERTY IN VARIATION FOR NONLINEAR DIFFERENTIAL SYSTEMS

  • Choi, Sung Kyu;Im, Dong Man;Koo, Namjip
    • Journal of the Chungcheong Mathematical Society
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    • v.22 no.3
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    • pp.545-556
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    • 2009
  • We show that two notions of asymptotic equilibrium and asymptotic equilibrium in variation for nonlinear differential systems are equivalent via $t_{\infty}$-similarity of associated variational systems. Moreover, we study the asymptotic equivalence between nonlinear system and its variational system.

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Bimatrix Game Approach to Power System Market Analysis (전력거래에서의 내쉬균형점 해석을 위한 Bimatrix 게임 기법 연구)

  • Lee, Kwang-Ho
    • Proceedings of the KIEE Conference
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    • 2002.07a
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    • pp.380-382
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    • 2002
  • An important aspect of the study of power system markets involves the assessment of strategic behavior of participants for maximizing their profits. In models of imperfect competition of a deregulated electricity system the key task is to find the Nash equilibrium. In this paper, the bimatrix approach for finding Nash equilibria in electricity markets is investigated. This approach determines pure and mixed equilibria using the complementarity pivot algorithm. The mixed equilibrium in the matrix approach has the equal number of non-zero property. This property makes it difficult to reproduce a smooth continuous distribution for the mixed equilibrium. This paper proposes an algorithm for adjusting the quantization value of discretization to reconstruct a continuous distribution from a discrete one.

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Equilibrium Property of Ion Exchange Resin for Silica Removal at Ultralow Concentration (초저이온농도에서 이온교환수지에 의한 실리카제거 평형특성)

  • Yoon, Tae-Kyung;Lee, Gang-Choon;Noh, Byeong-Il
    • Journal of Environmental Science International
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    • v.16 no.8
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    • pp.907-912
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    • 2007
  • Ion exchange resin was used to remove silica ion at ultralow concentration. The effects of temperature, type of ion exchange resin and single/mixed-resin systems on removal efficiency were estimated. As temperature increased, the slope of concentration profile became stiff, and the equilibrium concentration was higher. In the single resin system, the removal of silica was continued up to 400 min, but the silica concentration was recovered to initial concentration after 400 min due to the effect of dissolved $CO_2$. In the mixed-resin system it took about 600 min to reach equilibrium. Because of faster cation exchange reaction than anion exchange reaction, the effect of $CO_2$ could be removed. Based on the experimental results carried out in the mixed-resin system, the selectivity coefficients of silica ion for each ion exchange resin were calculated at some specific temperatures. The temperature dependency of the selectivity coefficient was expressed by the equation of Kraus-Raridon type.

Reduction Method of Shoaling of Navigation Channel Using Composite Channel Slope (복단면 항로를 이용한 항로매몰 저감공법)

  • 배기성;김규한;백승화
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.7 no.3
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    • pp.233-240
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    • 1995
  • A large part of shoaling of navigation channel surrounded by fine sand is caused by suspended sediment in non-equilibrium state. We develop a numerical model for predicting shoaling of navigation channel where concentration of suspended sediment in such state is accurately simulated. In this study, effects of channel geometry on the shoaling of the channel are investigated numerically. A composite slope of navigation channel is also proposed to reduce non-equilibrium property of suspended sediment. It is found that the composite slope can effectively reduce non-equilibrium property of suspended sediment and the amount of sediment deposited in the main channel.

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A Modeling Study on Aerosol Property Changes due to Sea-Salts (해염성분에 의한 에어로솔 물성변화 모사연구)

  • 김용표
    • Journal of Korean Society for Atmospheric Environment
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    • v.16 no.2
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    • pp.113-120
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    • 2000
  • Effects of sea-salts on the properties of aerosol collected in a coastal region were studied by applying a gas-particle equilibrium model SCAPE to the measurement data from Korea Cheju Island in summer 1994. It was found that the observed higher ammonium concentrations in fine particles (PM2.5) than in TSP were caused by forced evaporation of ammonium in coarse fraction of aerosol by sea-salts and the degree of evaporation was quantified through an application of SCAPE. By subtracting the sea-salt fraction from the measured concentra-tions the changes of aerosol property were also studied. The concentrations of nitrate at both TSP and PM2.5 decreased when alkaline sea-salt fraction was removed from the measured data. Estimates of aerosol acidity increased for most samples with sea salt loadings, However in some cases with high mass fractions of sea-salt components the aerosol acidity of PM2.5 decreased slightly. This is though to be related with the formation of solid salt with the removal of sea-salts.

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Congested Market Equilibrium Analysis

  • Oh, Hyung-Sik
    • Journal of Korean Institute of Industrial Engineers
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    • v.13 no.2
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    • pp.65-77
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    • 1987
  • Congestion occurs whenever users interfere with each other, while competing for scarce resources. In a congested market, such as a telecommunication service market, users of telecommunication services incur costs in using the service in addition to the price. The user's own time costs involved in learning to use the service, waiting for the service, and making use of the service are typically greater than the price of telecommunication services. A market equilibrium analysis is performed in which a method for user demand aggregation is developed. The effects of price changes on user demands and market demands for congested services are examined. It is found that total market demands may increase as the price for less-congested services increase under certain demand conditions. This suggests that a nonuniform pricing scheme for a congested service may improve the utilization of the congested system. The sign of price cross-elasticity for congested services is show to vary with demand conditions. A possible complementary property of congested services is found and the implication of such a property is discussed. It is argued that such a complementary property may lead to a cross subsidy in a market with congestion. Finally, comparisons between uniform pricing and nonuniform pricing policies are made. A specific numerical example is given to show that a nonuniform pricing policy may be Pareto superior to a uniform pricing policy.

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Preparation and Characteristics of High Voltage Liquid Silicone Rubber by Modified Cross-linking Agent

  • Jung, Se-Young;Kim, Byung-Kyu
    • Transactions on Electrical and Electronic Materials
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    • v.10 no.1
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    • pp.9-15
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    • 2009
  • There is a growing demand for a high voltage silicone rubber composite with high mechanical property and high electrical property. The effect of modified cross-linking agent on the mechanical, electrical properties, and short-circuit test performance of silicone rubber insulators have been investigated. To use base polymer, the various silicone polymers were prepared by the equilibrium polymerization. Aluminum trihydrate surface was treated by vinyl silane. Liquid silicone rubber nanocomposite was prepared from the compounding of VPMPS, HPDMS, catalyst, and alumina trihydrate modified with 1,3,5-trivinyl-l,3,5-trimethylcyclotrisiloxane. The mechanical property and electrical property for insulation materials were measured, indicating the high tensile strength and the good short-circuit property.