• Title/Summary/Keyword: rational method

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Study on Optimal Trading Method of REC by Solar Power Generation (태양광 REC 최적 거래 방식에 관한 연구)

  • Nam, Youngsik;Lee, Jaehyung
    • Environmental and Resource Economics Review
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    • v.29 no.1
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    • pp.91-111
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    • 2020
  • While the renewable energy portfolio standard (RPS) is in place to expand the scale of renewable energy generation, the power producer can obtain the renewable energy credit (REC) and use it as an incentive to operate the facility. RECs secured by solar power generation can be traded through spot market or fixed price contracts, and, in the spot market trading, power producers are exposed to the uncertainty of REC spot price. In this study, real option analysis is conducted to analyze the optimal threshold of REC spot price for the conversion of REC trading method by power producer considering the uncertainty of REC spot price. We calculated the optimal threshold of REC spot price that can convert the trading method of REC from spot market to fixed price contract. In conclusion, the spot market trading is a rational trading method when considering the uncertainty of REC price, but the fixed price bidding is a rational trading method when not considering the uncertainty of REC price.

Estimation of Probable Maximum Flood by Duration using Creager Method (Creager 기법을 이용한 지속시간별 가능최대홍수량 산정)

  • Kang, Boo-Sik;Ryu, Seung-Yeop
    • Journal of the Korean Society of Hazard Mitigation
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    • v.11 no.1
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    • pp.77-84
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    • 2011
  • The methods of the rational formula and Kajiyama formula have been widely used for estimating the peak flood for design to all kind of hydraulic structure. However, there are many limitations and we have to apply these methods to ungauged basin. These methods require to calculate the Probable Maximum Precipitation (PMP) before determining the Probable Maximum Flood (PMF). Creager's method (Creager et al., 1945) is a kind of estimation of specipic flood and this method provided nonlinear equations based on relationship between the drainage area and PMF in order to calculate the PMF of multipurpose dams over medium-sized. But this method has not much applied in Korea. Creager's coefficient is not clear about its application because this method has never been applied to dams in Korea. Based on the PMP for rainfull-runoff models with the PMF of small and larger dams in this research, the range and standard of Creager's coefficients with parameters are proposed to apply basin areas in Korea.

Rational Building Energy Assessment using Global Sensitivity Analysis (전역 민감도 분석을 이용한 건물 에너지 성능평가의 합리적 개선)

  • Yoo, Young-Seo;Yi, Dong-Hyuk;Kim, Sun-Sook;Park, Cheol-Soo
    • Journal of the Architectural Institute of Korea Structure & Construction
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    • v.36 no.5
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    • pp.177-185
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    • 2020
  • The building energy performance indicator, called Energy Performance Index (EPI), has been used for the past decades in South Korea. It has a list of design variables assigned with weighting factors (a, b). Unfortunately, the current EPI method is not performance-based but very close to a prescriptive rating. With this in mind, this study aims to propose a new performance-based EPI method. For this purpose, a global sensitivity analysis method, Sobol, is employed. The Sobol method is suitable for complex nonlinear models and can decompose all the output variance due to every input. The Sobol sensitivity index of each variable is defined as 0 to 1 (0 to 100%), and the sum of all sensitivity indices is equal to 1 (100%). In this study, an office building was modeled using EnergyPlus and then the Latin Hypercube Sampling (LHS) was conducted to generate a surrogate model to EnergyPlus. The sensitivity index was suggested to replace weight (a) in the existing EPI. In addition, the discrete weight (b) in the existing EPI was replaced by a set of continuous regression functions. Due to the introduction of the sensitivity index and the continuous regression functions, the new proposed approach can provide far more accurate outcome than the existing EPI (R2: 0.83 vs. R2: 0.01 for cooling, R2: 0.66 vs. R2: 0.01 for total energy). The new proposed approach proves to be more rational, objective and performance-based than the existing EPI method.

Shape Design Sensitivity Analysis Using Isogeometric Approach (등기하 해석법을 이용한 설계 민감도 해석)

  • Ha, Seung-Hyun;Cho, Seon-Ho
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.20 no.3
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    • pp.339-345
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    • 2007
  • In this paper, a variational formulation for plane elasticity problems is derived based on an isogeometric approach. The isogeometric analysis is an emerging methodology such that the basis functions for response analysis are generated directly from NURBS (Non-Uniform Rational B-Splines) geometry. Furthermore, the solution space for the response analysis can be represented in terms of the same functions to represent the geometry, which enables to provide a precise construction method of finite element model to exactly represent geometry using B-spline base functions in CAD geometric modeling and analyze arbitrarily shaped structures without re-meshing. In this paper, a continuum-based adjoint sensitivity analysis method using the isogeometric approach is extensively derived for the plane elasticity problems. The conventional shape optimization using the finite element method has some difficulties in the parameterization of geometry In the isogeometric analysis, however, the geometric properties are already embedded in the B-spline basis functions and control points so that it has potential capability to overcome the aforementioned difficulties. Through some numerical examples, the developed isogeometric sensitivity analysis method is verified to show excellent agreement with finite difference sensitivity.

A Simplified Numerical Model for an Integral Abutment Bridge Considering the Restraining Effects Due to Backfill

  • Hong, Jung-Hee;Jung, Jae-Ho;You, Sung-Kun;Yoon, Soon-Jong
    • Journal of the Korea Concrete Institute
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    • v.15 no.5
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    • pp.759-767
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    • 2003
  • This paper presents the simplified but more rational analysis method for the prediction of additional internal forces induced in integral abutment bridges. These internal forces depend upon the degree of restraint provided tc the deck by the backfill soil adjacent to the abutments and piles. In addition, effect of the relative flexural stiffness ratio among pile foundations, abutment, and superstructure on the structural behavior is also an important factor. The first part of the paper develops the stiffness matrices, written in terms of the soil stiffness, for the lateral and rotational restraints provided by the backfill soil adjacent to the abutment. The finite difference analysis is conducted and it is confirmed that the results are agreed well with the predictions obtained by the proposed method. The simplified spring model is used in the parametric study on the behavior of simple span and multi-span continuous integral abutment PSC beam bridges in which the abutment height and the flexural rigidity of piles are varied. These results are compared with those obtained by loading Rankine passive earth pressure according to the conventional method. From the results of parametric study, it was shown that the abutment height, the relative flexural rigidity of superstructure and piles, and the earth pressure induced by temperature change greatly affect the overall structural response of the bridge system. It may be possible to obtain more rational and economical designs for integral abutment bridges by the proposed method.

A Study of Modelling Methods Used for the Analysis on Cut-and-Cover Tunnel Lining (복개터널 라이닝 해석을 위한 모델링 기법에 관한 연구)

  • Bae, Gyu-Jin;Lee, Gyu-Pil
    • Journal of Korean Tunnelling and Underground Space Association
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    • v.3 no.2
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    • pp.13-22
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    • 2001
  • In this study, numerical analyses on cut-and-cover tunnel linings were performed using different modeling methods based on both structural and geotechnical engineering. The purpose was to find a relatively more reasonable modeling method and boundary conditions. The results of the study revealed problems associated with each modeling method and factors influencing the behavior of cut-and-cover tunnel lining. A method was proposed allowing the simulation of field condition in a more rational way. It was indicated that, under the given conditions, displacements and member forces occurring on concrete lining could be different as much as 53% depending on the type of modeling method applied; and 32% depending on the boundary conditions employed. Determination of boundary conditions properly simulating actual field conditions and verification of prediction based on instrumentation are essential for rational design and analysis.

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Multi-material topology optimization for crack problems based on eXtended isogeometric analysis

  • Banh, Thanh T.;Lee, Jaehong;Kang, Joowon;Lee, Dongkyu
    • Steel and Composite Structures
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    • v.37 no.6
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    • pp.663-678
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    • 2020
  • This paper proposes a novel topology optimization method generating multiple materials for external linear plane crack structures based on the combination of IsoGeometric Analysis (IGA) and eXtended Finite Element Method (X-FEM). A so-called eXtended IsoGeometric Analysis (X-IGA) is derived for a mechanical description of a strong discontinuity state's continuous boundaries through the inherited special properties of X-FEM. In X-IGA, control points and patches play the same role with nodes and sub-domains in the finite element method. While being similar to X-FEM, enrichment functions are added to finite element approximation without any mesh generation. The geometry of structures based on basic functions of Non-Uniform Rational B-Splines (NURBS) provides accurate and reliable results. Moreover, the basis function to define the geometry becomes a systematic p-refinement to control the field approximation order without altering the geometry or its parameterization. The accuracy of analytical solutions of X-IGA for the crack problem, which is superior to a conventional X-FEM, guarantees the reliability of the optimal multi-material retrofitting against external cracks through using topology optimization. Topology optimization is applied to the minimal compliance design of two-dimensional plane linear cracked structures retrofitted by multiple distinct materials to prevent the propagation of the present crack pattern. The alternating active-phase algorithm with optimality criteria-based algorithms is employed to update design variables of element densities. Numerical results under different lengths, positions, and angles of given cracks verify the proposed method's efficiency and feasibility in using X-IGA compared to a conventional X-FEM.

고양 종합운동장의 환경색채 디자인 개발 연구

  • 최은희
    • Archives of design research
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    • v.16 no.2
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    • pp.335-344
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    • 2003
  • There are various schemes to improve the environment of a rir in which we dwell. Among them environment color is one of formative elements that compose a city environment, the recognition about it is coming to be high gradually. A stabilized appropriate color of city environment gives a psychological social cultural effect to the people and also can be a useful method even in public information of city image, To give a citizen sensitive aesthetic and emotional satisfaction, a systematic rational design approach is necessary in an environment color plan. Hereupon, this study suggests one model of a concrete substantial color design through analyzing a present condition, for example, an existing environment, a case study about similar space, and a question investigation for finding out preference image and applying them to the color design. Through a rational systematic environment color design one can expect several effects making identity in a region, increasing a peculiar image or unity reinforcement by total application of color scheme, creating a visual environment with aesthetic characteristic, and efficiency of continuous color management system.

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Effects of the Parenting Attitude on Children's Thinking Ability (유아의 사고능력에 대한 부모 양육태도의 영향)

  • Lim, Ho-Chan
    • Journal of Gifted/Talented Education
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    • v.18 no.3
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    • pp.613-634
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    • 2008
  • This Study focused on understanding the relationship between the child ren's thinking ability which is based on the genius and the parenting attitude according to their level of age. There were 401subjects including mothers and their children who lived in Seoul city ages from four to six. The Raven CPM testing method for children and the parenting attitude test were used as research tools. Subcategories of the parenting attitude test consisted of the supportive expression, the rational explanation, the achievement press, high involvement, punishment, superintendence, high expectation, and inconsequence. Results showed that by age four children's thinking abilities were affected by the rational explanation, the achievement press, punishment, and superintendence. At age five, the supportive expression and superintendence were important factors to the thinking ability. By age six children were affected by the supportive expression, the rational explanation, punishment and high expectation. It was also discussed the positive or negative effects of the parenting attitude sub-scales to the development of the thinking ability. These results showed the parenting attitudes need to be changed according to the child's age for getting more resonable results to their children's thinking ability.

EXISTENCE OF POLYNOMIAL INTEGRATING FACTORS

  • Stallworth, Daniel T.;Roush, Fred W.
    • Kyungpook Mathematical Journal
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    • v.28 no.2
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    • pp.185-196
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    • 1988
  • We study existence of polynomial integrating factors and solutions F(x, y)=c of first order nonlinear differential equations. We characterize the homogeneous case, and give algorithms for finding existence of and a basis for polynomial solutions of linear difference and differential equations and rational solutions or linear differential equations with polynomial coefficients. We relate singularities to nature of the solution. Solution of differential equations in closed form to some degree might be called more an art than a science: The investigator can try a number of methods and for a number of classes of equations these methods always work. In particular integrating factors are tricky to find. An analogous but simpler situation exists for integrating inclosed form, where for instance there exists a criterion for when an exponential integral can be found in closed form. In this paper we make a beginning in several directions on these problems, for 2 variable ordinary differential equations. The case of exact differentials reduces immediately to quadrature. The next step is perhaps that of a polynomial integrating factor, our main study. Here we are able to provide necessary conditions based on related homogeneous equations which probably suffice to decide existence in most cases. As part of our investigations we provide complete algorithms for existence of and finding a basis for polynomial solutions of linear differential and difference equations with polynomial coefficients, also rational solutions for such differential equations. Our goal would be a method for decidability of whether any differential equation Mdx+Mdy=0 with polynomial M, N has algebraic solutions(or an undecidability proof). We reduce the question of all solutions algebraic to singularities but have not yet found a definite procedure to find their type. We begin with general results on the set of all polynomial solutions and integrating factors. Consider a differential equation Mdx+Ndy where M, N are nonreal polynomials in x, y with no common factor. When does there exist an integrating factor u which is (i) polynomial (ii) rational? In case (i) the solution F(x, y)=c will be a polynomial. We assume all functions here are complex analytic polynomial in some open set.

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