• Title/Summary/Keyword: Equilibrium Calculation

Search Result 287, Processing Time 0.025 seconds

Analysis on a Power Transaction with Fuel-Constrained Generations in an Electricity Market (연료제약 발전기를 고려한 전력거래 해석기법 연구)

  • 이광호
    • The Transactions of the Korean Institute of Electrical Engineers A
    • /
    • v.53 no.8
    • /
    • pp.484-489
    • /
    • 2004
  • When the energy resource available to a particular plant (be it coal, oil, gas, water, or nuclear fuel) is a limiting factor in the operation of the plant, the entire economic dispatch calculation must be done differently. Each economic dispatch calculation must account for what happened before and what will happen in the future. This paper presents a formulation and a solution method for the optimization problem with a fuel constraint in a competitive electricity market. Take-or- Pay (TOP) contract for an energy resource is the typical constraint as a limiting factor. Two approaches are proposed in this paper for modeling the dispatch calculation in a market mechanism. The approaches differ in the subject who considers and inserts the fuel-constraint into its optimization problem. Market operator and each power producer having a TOP contract are assumed as such subjects. The two approaches are compared from the viewpoint of profits. surplus. and social welfare on the basis of Nash Equilibrium.

Identifuication of College Student's And Teacher's Conceptions for Chemical Equilibrium and Equilibrium Shift (화학평형과 평형이동에 대한 대학생과 교사들의 개념조사)

  • Park, Jong Yun;Park, Hyeon Ju
    • Journal of the Korean Chemical Society
    • /
    • v.46 no.3
    • /
    • pp.265-278
    • /
    • 2002
  • A concept test was administered to college students and teachers to identify their understanding of chemical equilibrium and equilibrium shift. The subjects were 53 freshmen in the General Chemistry class, 28 juniors in the Physical Chemistry class and 26 seniors from a university and 10 high school teachers in Seoul. Test items include the calculations of partial pressure and concentration of the gas in the mixture, the equilibrium constant cal-culation and the prediction of equilibrium shift when an inert gas is added to the gaseous reaction system, and the equilibrium concentration calculation and the prediction of equilibrium shift when water or common ion is added to the weak acid solution. The test was focused to identify whether the subjects can predict equilibrium shift using the reaction quotient change for the situations in which Le Chatelier principle is difficult to apply. The results showed that the achievements of teachers and juniors were significantly higher than those of freshmen and seniors. Many stu-dents had difficulties in predicting equilibrium shift using the reaction quotient while they could calculate partial pres-sure and concentration for the same situation. It means they are lack of conceptual understanding of chemical equilibrium shift.

Radiative Properties of King Sejong Station in West Antarctica with the Radiative Transfer Model: Climate Change using Radiative Convective Equilibrium Model (대기 복사 모형에 의한 세종기지에서의 복사학적 특징: 복사 대류 평형 모형을 이용한 기후 변화 연구)

  • Lee, Gyu-Tae;Lee, Bang-Yong;Jee, Joon-Bum;Yoon, Young-Jun;Lee, Won-Hak
    • Journal of the Korean Geophysical Society
    • /
    • v.9 no.1
    • /
    • pp.27-36
    • /
    • 2006
  • The radiative convective equilibrium (RCE) temperature was calculated for the climate change study at King Sejong Station in West Antarctica. As a result of RCE model sensitivity test, the increases of surface albedo, solar zenith angle, and cloud optical thickness decrease surface temperature. On the other hand, the increases of carbon dioxide and cirrus cloud amount are caused by surface warming due to the greenhouse effect. According to the model calculation result, annual mean surface temperature shows a upward trend of 0.012oC/year during the period of 1958-2001. During the period of 1989∼2001, the trend of monthly mean surface temperature by model calculation is 0.01oC/month and the observation trend is 0.005oC/month.

  • PDF

A Calculation Method of the Ship's Posture Based on the Static Equilibrium for the Refloating Plan of the Stranded Ship (좌초선의 이초 계획 수립을 위한 정적 평형 기반의 자세 계산 방법)

  • Lee, Woo-yong;Ham, Seung-Ho;Ku, Namkug
    • Journal of the Society of Naval Architects of Korea
    • /
    • v.59 no.1
    • /
    • pp.55-63
    • /
    • 2022
  • A stranded ship means a ship which is stuck on a rock or a seabed, and cannot move by itself. The lightening plan is required to refloat the stranded ship. For this, we have to understand the forces and moments acting on the ship, which is composed of the gravity, buoyancy, and reaction force due to the touched area below the ship. This study defines those forces and moments, and proposed the calculation method to find the posture based on the static equilibrium. It is divided by two steps. In the first step, the magnitude and position of the reaction force are obtained based on the known information such as initial trim angle and draft of the ship. In the second step, the reaction force and the posture is calculated due to the three cases such as addition, reduction, and movement of the cargo. It is applied to three examples in order to calculate the reaction force, and the trim angle due to changes of the cargo. As a results, we successfully obtain the magnitudes and positions of forces acting on the stranded ship and to check the posture of the stranded ship.

Reasonably completed state assessment of the self-anchored hybrid cable-stayed suspension bridge: An analytical algorithm

  • Kai Wang;Wen-ming Zhang;Jie Chen;Zhe-hong Zhang
    • Structural Engineering and Mechanics
    • /
    • v.90 no.2
    • /
    • pp.159-175
    • /
    • 2024
  • In order to solve the problem of calculating the reasonable completed bridge state of a self-anchored hybrid cable-stayed suspension bridge (SA-HCSB), this paper proposes an analytical method. This method simplifies the main beam into a continuous beam with multi-point rigid supports and solves the support reaction forces. According to the segmented catenary theory, it simultaneously solves the horizontal forces of the main span main cables and the stay cables and iteratively calculates the equilibrium force system on the main beam in the collaborative system bridge state while completing the shape finding of the main span main cable and stay cables. Then, the horizontal forces of the side span main cables and stay cables are obtained based on the balance of horizontal forces on the bridge towers, and the shape finding of the side spans are completed according to the segmented catenary theory. Next, the difference between the support reaction forces of the continuous beam with multiple rigid supports obtained from the initial and final iterations is used to calculate the load of ballast on the side span main beam. Finally, the axial forces and strains of each segment of the main beam and bridge tower are obtained based on the loads applied by the main cable and stay cables on the main beam and bridge tower, thereby obtaining analytical data for the bridge in the reasonable completed state. In this paper, the rationality and effectiveness of this analytical method are verified through a case study of a SA-HCSB with a main span of 720m in finite element analysis. At the same time, it is also verified that the equilibrium force of the main beam under the reasonably completed bridge state can be obtained through iterative calculation. The analytical algorithm in this paper has clear physical significance, strong applicability, and high accuracy of calculation results, enriching the shape-finding method of this bridge type.

A Study on Transverse Stability of Ships in Following Seas (추파중에서 항행하는 선박의 복원성능에 관한 연구)

  • K.H.,Son;S.D.,Yun
    • Bulletin of the Society of Naval Architects of Korea
    • /
    • v.26 no.1
    • /
    • pp.1-10
    • /
    • 1989
  • When a ship is travelling in following seas, the encounter frequency is reduced to be very low. n that case surf-riding, broaching-to and capsizing phenomena are most likely to occur. In the present paper, the emphasis is laid upon the transverse stability of ships in following seas, which is related to capsizing phenomenon. The authors intend to clarify the mechanism of the stability variation in following seas. In order to predict that variation, the theoretical calculation method and computer programming are developed. The theoretical calculation is based on Froude-Krylov Hypothesis and static equilibrium condition in waves. Through the application of present calculation method to cargo vessel and fishing boat, it is verified that the transverse stability in following seas with crest amidships can be reduced to a half extent in comparison with calm water stability. On the other hand, the present calculation results are compared with existing experimental data.

  • PDF

Science High School Students' Understandings on Chemical Cells : In Relation to Chemical Equilibrium from the Microscopic Viewpoint at Molecular Level (과학고등학교 학생의 화학 전지에 대한 이해 분석: 분자적 수준의 미시적 관점에서 화학 평형과 연계하여)

  • Kim, Hyun-Jung;Hong, Hun-Gi
    • Journal of the Korean Chemical Society
    • /
    • v.56 no.6
    • /
    • pp.731-738
    • /
    • 2012
  • The purpose of this study is to analyze the understandings of science high school students on the conception of chemical cell in relation to chemical equilibrium from the microscopic viewpoint at molecular level through questionnaires and follow-up interviews. The results show that they have high understandings on the chemical equilibrium states in the electrochemical cell and on the redox reaction taking place simultaneously when a metal electrode is immersed in the metal ion solution. However, they do not fully comprehend the development of electrical potential difference, electron movement, electrode potential measurement in the half-cells, and calculation of the net cell voltage between anode and cathode in the chemical cell because of difficulties in the microscopic understanding the interaction on the interface at the electrode and the electrolyte solution.

Equilibrium calculations for HyBRID decontamination of magnetite: Effect of raw amount of CuSO4 on Cu2O formation

  • Lee, Byung-Chul;Kim, Seon-Byeong;Moon, Jei-Kwon
    • Nuclear Engineering and Technology
    • /
    • v.52 no.11
    • /
    • pp.2543-2551
    • /
    • 2020
  • Calculations of chemical equilibrium for multicomponent aqueous systems of the HyBRID dissolution of magnetite were performed by using the HSC Chemistry. They were done by using a Pitzer-based aqueous solution model with the recipe of raw materials in experiments conducted at KAERI. The change in the amounts of species and ions and the pH values of the solution at equilibrium was observed as functions of temperature and raw amount of CuSO4. Precipitation of Cu2O occurred at a large amount of CuSO4 added to the solution, while no precipitation of Cu(OH)2 was found at any amounts of CuSO4. The E-pH diagrams for Cu were constructed at various Cu concentrations to provide the effect of the Cu concentration on the pH values at boundaries where the coexistence of Cu+ ion and Cu2O solid occurred. To prevent Cu+ ions from being precipitated to Cu2O, the raw amount of CuSO4 should be adjusted so that the pH value of the solution from the equilibrium calculation is less than that from the E-pH diagram. We provided guidelines for the raw amount of CuSO4 and the pH value of the solution, which prevent the formation of Cu2O precipitates in the HyBRID dissolution experiments for magnetite.

Calculation of the Activity Coefficients of Ions in Weak Electrolyte Solutions (묽은 전해질용액에서 이온의 활동도계수 계산)

  • Lee, Man-Seung;Son, Seong Ho
    • Resources Recycling
    • /
    • v.27 no.5
    • /
    • pp.9-13
    • /
    • 2018
  • The equilibrium constant of a chemical reaction is related to the standard Gibbs free energy change. Since equilibrium constant is defined as the ratio of the activities of the chemical species, it is necessary to consider the non-ideal behavior of the solutes as ionic strength of the solution increases. In this paper, the derivation of Debye-$H{\ddot{u}}ckel$ limiting law and its modification by which the activity coefficient of an ion can be calculated was explained. Moreover, the method to obtain the activity coefficient of an ion from the experimentally determined mean activity coefficients of an electrolyte was explained.

Analysis of Microsegregation in Fe-Cr-Ni Weld Metal (Fe-Cr-Ni강 용접금속부의 미세편석에 관한 해석)

  • 박준민;박종민;안상곤;이창희;윤의박
    • Journal of Welding and Joining
    • /
    • v.16 no.5
    • /
    • pp.56-66
    • /
    • 1998
  • During solidification or welding of alloys, the solute redistribution brings out microsegregation. The microsegregation causes the formation of non-equilibrium second phases, shrinkage and porosity degrading mechanical/chemical properties Therefore, it has been required to predict microsegregation quantitatively. To predict the degree of microsegregation, more exact and appropriate computer simulation technique has been actively used during last two decades. To predict the degree of microsegregation in weld metal, an advanced two dimensional model was suggested. In the new model, both primary and secondary arm regions were defined for the analysis region. The growth in the primary arm regina was assumed to be a planar for effective calculation. Especially, for the growth of a secondary arm, a simple and effective mathematical function was established to show the growing pattern, the solute diffusion in the solid phase was calculated by finite difference method (FDM). The solid-liquid interface movement was considered to be in local equilibrium state. The experiments for welding of 310S stainless steel were carried out in order to examined the reasonability and feasibility of this model. The concentration profiles of the solute predicted by this model were compared with those obtained from experimental works.

  • PDF