• Title/Summary/Keyword: Expansion Method

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Reliability Calculation of Power Generation Systems Using Generalized Expansion

  • Kim, Jin-O
    • Journal of Electrical Engineering and information Science
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    • v.2 no.6
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    • pp.123-130
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    • 1997
  • This paper presents a generalized expansion method for calculating reliability index in power generation systems. This generalized expansion with a gamma distribution is a very useful tool for the approximation of capacity outage probability distribution of generation system. The well-known Gram-Charlier expansion and Legendre series are also studied in this paper to be compared with this generalized expansion using a sample system IEEE-RTS(Reliability Test System). The results show that the generalized expansion with a composite of gamma distributions is more accurate and stable than Gram-Charlier expansion and Legendre series as addition of the terms to be expanded.

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Analysis of the Residual Stress due to Cold Expansion and Stress Intensity Factor in CT Specimen Using Finite Element Method (유한요소법을 이용한 CT 시편의 홀확장 잔류응력 및 응력확대계수 해석)

  • Jang, Jae-Soon;Yang, Won-Ho;Kim, Cheol;Ko, Myung-Hoon;Cho, Myoung-Rae
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.26 no.5
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    • pp.890-895
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    • 2002
  • Cold expansion method is retarded of crack initiation due to the compressive residual stress developed on the hole surface. Previous research has just been study about residual stress distribution in the hole surrounding. But, The purpose of this study was to improve the understanding of the residual stress effect in hole surrounding as crack growth from another hole. In this paper, it is shown that residual stress is redistributed due to the application of cold expansion process for CT specimen using finite element method. It is further shown that tensile stress increases in proportion to cold expansion ratio in the vicinity of crack. It is thought that stress intensity factor increases with cold expansion ratio.

The Analysis of Load Management Effect in Shor-Term Generation Expansion Planning (단기 전력우급계획에서의 부하관리 효과 분석연구)

  • 김준현;정도영
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.41 no.9
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    • pp.994-1002
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    • 1992
  • With regard to price elasticity and cross elasticity of electricity, optimal generation expansion planning method including load management effect is suggested. In addition, optimal peak time price can be determined simultaneously, and we adopt peak time tariff as load management strategy. Instead of using hourly marginal demand curves where we can get customer surplus, we used chronological load curve with constraints to preserve social welfare. This method is proved useful in short-term generation expansion planning.

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Prediction of the Fundamental Mode Lamb Wave Reflection from a Crack-Like Discontinuity Using Eigen-Mode Expansion

  • Park, Jae-Seok;Jang, Chang-Heui;Lee, Jong-Po
    • Journal of the Korean Society for Nondestructive Testing
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    • v.30 no.3
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    • pp.194-199
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    • 2010
  • Based on the idea of eigen-mode expansion, a method to analyze the reflection of Lamb wave from a finite vertical discontinuity of plate is theoretically derived and verified by experiment. The theoretical prediction is in good agreement with the experimental result, and this strongly suggests that eigen-mode expansion method could be used for solution of inverse scattering problem for ultrasonic testing using Lamb wave.

Using the Finite Element Method, 3 Dimensional FE Analysis of Residual Stress by Cold Expansion Method in the Plate Baying Adjacent Holes (인접홀에서 홀확장법 적용시, 유한요소법을 이용한 잔류응력해석)

  • Yang Won-Ho;Cho Myoung-Rae;Jang Jae-Soon
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.30 no.5 s.248
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    • pp.528-532
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    • 2006
  • In the aerospace industry, Cold expansion has been used the most important method that is retarded of crack initiation from fastener hole surface. Cold expansion method(CEM) is that a oversized tapered mandrel goes through the hole in order to develop a compressive residual stress as the passing of the mandrel around the hole. Therefore, because of characteristic of mandrel inserting, Residual Stress Distributions (RSD) are differently generated form Entry, Mid and Exit position of the plate. Also, it is respected that RSD are changed as distances between holes. In this paper, It is performed a FE analysis of RSD by CEM and it is respectively shown RSD in the Entry, Mid and Exit position. It is compared residual stress results form the cold expansion in these two cases: the concurrent CEM and the sequential CEM. From this research, it has been found that compressive residual stress of Entry position is lower than other positions. Also, the concurrent CE of adjacent holes leads to much higher compressive residual stress than the sequential CE. In addition, in the sequential CE case, a compressive RSD of 1 step's hole around is lower than compressive RSD of 2 step's hole around.

A study of shrinkage and expansion for dental casting process (치과 주조공정의 수축 및 팽창에 관한 연구)

  • Kim, Yung-Hoon
    • Journal of Technologic Dentistry
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    • v.42 no.2
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    • pp.107-112
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    • 2020
  • Purpose: This study compares how accurately the specimen produced by the machining method and the rapid prototyping method is produced and how much dimensional error occurs with the finished casting body, and presents the results as experimental comparative data. Methods: Specimens produced using a digital processing method were cast by a conventional dental casting process, and dimensional changes of the finished casting body were measured to compare shrinkage and expansion. Results: In the control group that did not artificially induce large swelling, the dimensional error was the smallest, and the shrinkage and expansion reactions cannot be elimainated in all processes. Conclusion: The shrinkage and expansion depend on the given conditions, so if there is a change in the traditional dental casting process, it is necessary to adjust all the parameters to obtain an accurate casting body.

Improved Scalar Multiplication on Elliptic Curves Defined over $F_{2^{mn}}$

  • Lee, Dong-Hoon;Chee, Seong-Taek;Hwang, Sang-Cheol;Ryou, Jae-Cheol
    • ETRI Journal
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    • v.26 no.3
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    • pp.241-251
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    • 2004
  • We propose two improved scalar multiplication methods on elliptic curves over $F_{{q}^{n}}$ $q= 2^{m}$ using Frobenius expansion. The scalar multiplication of elliptic curves defined over subfield $F_q$ can be sped up by Frobenius expansion. Previous methods are restricted to the case of a small m. However, when m is small, it is hard to find curves having good cryptographic properties. Our methods are suitable for curves defined over medium-sized fields, that is, $10{\leq}m{\leq}20$. These methods are variants of the conventional multiple-base binary (MBB) method combined with the window method. One of our methods is for a polynomial basis representation with software implementation, and the other is for a normal basis representation with hardware implementation. Our software experiment shows that it is about 10% faster than the MBB method, which also uses Frobenius expansion, and about 20% faster than the Montgomery method, which is the fastest general method in polynomial basis implementation.

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An improved interval analysis method for uncertain structures

  • Wu, Jie;Zhao, You Qun;Chen, Su Huan
    • Structural Engineering and Mechanics
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    • v.20 no.6
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    • pp.713-726
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    • 2005
  • Based on the improved first order Taylor interval expansion, a new interval analysis method for the static or dynamic response of the structures with interval parameters is presented. In the improved first order Taylor interval expansion, the first order derivative terms of the function are also considered to be intervals. Combining the improved first order Taylor series expansion and the interval extension of function, the new interval analysis method is derived. The present method is implemented for a continuous beam and a frame structure. The numerical results show that the method is more accurate than the one based on the conventional first order Taylor expansion.

Active Distribution Network Expansion Planning Considering Distributed Generation Integration and Network Reconfiguration

  • Xing, Haijun;Hong, Shaoyun;Sun, Xin
    • Journal of Electrical Engineering and Technology
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    • v.13 no.2
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    • pp.540-549
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    • 2018
  • This paper proposes the method of active distribution network expansion planning considering distributed generation integration and distribution network reconfiguration. The distribution network reconfiguration is taken as the expansion planning alternative with zero investment cost of the branches. During the process of the reconfiguration in expansion planning, all the branches are taken as the alternative branches. The objective is to minimize the total costs of the distribution network in the planning period. The expansion alternatives such as active management, new lines, new substations, substation expansion and Distributed Generation (DG) installation are considered. Distribution network reconfiguration is a complex mixed-integer nonlinear programming problem, with integration of DGs and active managements, the active distribution network expansion planning considering distribution network reconfiguration becomes much more complex. This paper converts the dual-level expansion model to Second-Order Cone Programming (SOCP) model, which can be solved with commercial solver GUROBI. The proposed model and method are tested on the modified IEEE 33-bus system and Portugal 54-bus system.

The Finite Element Analysis for Prediction of Residual Stresses Induced by Cold Expansion (홀확장 잔류응력 예측을 위한 유한요소해석)

  • Kim, Cheol;Yang, Won-Ho;Ko, Myung-Hoon;Heo, Sung-Pil;Hyun, Cheol-Seung
    • Proceedings of the KSME Conference
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    • 2000.11a
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    • pp.470-474
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    • 2000
  • Cold expansion of fastener holes is a mechanical process widely used in the aerospace industry. This treatment leads to an improvement of fatigue behavior due to the developed compressive residual stresses on the hole surface. The residual stress profile depends on the parameters of cold expansion, which are, expanding rate, inserting direction of mandrel, material properties etc. and the method to confirm this profile is only measurement by X-ray diffractometer. Despite its importance to aerospace industries, little attention has been devoted to the accurate modelling of the process. In this paper, Two-dimensional axisymmetric finite element simulations have been conducted for the cold expansion in an aluminium plate in order to predict the magnitude and distribution of the residual stress and plastic deformation. Maximum compressive residual stress could be increase about 7 percent using the 2-step cold expansion method.

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