• Title/Summary/Keyword: Series Expansion

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Maximization of Transmission System Loadability with Optimal FACTS Installation Strategy

  • Chang, Ya-Chin;Chang, Rung-Fang
    • Journal of Electrical Engineering and Technology
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    • v.8 no.5
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    • pp.991-1001
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    • 2013
  • Instead of building new substations or transmission lines, proper installation of flexible AC transmission systems (FACTS) devices can make the transmission networks accommodate more power transfers with less expansion cost. In this paper, the problem to maximize power system loadability by optimally installing two types of FACTS devices, namely static var compensator (SVC) and thyristor controlled series compensator (TCSC), is formulated as a mixed discrete-continuous nonlinear optimization problem (MDCP). To reduce the complexity of the problem, the locations suitable for SVC and TCSC installations are first investigated with tangent vector technique and real power flow performance index (PI) sensitivity factor and, with the specified locations for SVC and TCSC installations, a set of schemes is formed. For each scheme with the specific locations for SVC and TCSC installations, the MDCP is reduced to a continuous nonlinear optimization problem and the computing efficiency can be largely improved. Finally, to cope with the technical and economic concerns simultaneously, the scheme with the biggest utilization index value is recommended. The IEEE-14 bus system and a practical power system are used to validate the proposed method.

Theoretical Study on the Flow of Refilling Stage in a Safety Injection Tank (안전주입탱크의 재충수 단계 유동에 대한 이론해석)

  • Park, Jun Sang
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.41 no.10
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    • pp.675-683
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    • 2017
  • In this study, a theoretical analysis was performed to the flow of refilling stage in a safety injection tank, which is the core cooling system of nuclear power plant in an emergency. A theoretical model was proposed with a nonlinear governing equation defining on the flow of the refilling process of the coolant. Utilizing the Taylor-series expansion, the $1^{st}$ - order approximation flow equation was obtained, along with its analytic solution of closed type, which could predict accurately the variations of free surface height and flow rate of the coolant. The availability of theoretical result was confirmed by comparing with previous experimental results.

Fabrication of Hypereutectic Spray-formed Al-Si Alloy and Its Deformation Behavior (분무성형을 통한 과공정 Aㅣ-Si 합금 제조 및 기계적 특성)

  • Ha T. K.;Kim J.;Park W. J.;Lee E. S.;Ahn S.;Chang Y. W.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2001.05a
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    • pp.20-23
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    • 2001
  • Hypereutectic Al-25Si alloy, which is expected to be applied to the cylinder-liner-part of the engine-block of an automobile due to its excellent wear resistance, low density and low thermal expansion coefficient, has been fabricated through a spray forming process. The obtained microstructure of the hypereutectic Al-25Si alloy appeared to consist of Al matrix and equiaxed Si particles of average diameter of 5-7 mm. To characterize the deformation behavior of this alloy, a series of load relaxation and compression tests have been conducted at temperatures ranging from RT to $500^{\circ}C$. The strain rate sensitivity parameter (m) of this alloy has been found to be very low (0.1) below $400^{\circ}C$ and reached maximum value of about 0.2 at $500^{\circ}C$. During the deformation above $300^{\circ}C$ in compression, strain softening has been observed. The diagram of extrusion pressure vs. ram-speed has been constructed. The extrusion has been successfully conducted at the temperatures of $300^{\circ}C$ and above with the ratio of area reduction of 28 and 40 in this study.

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Sea-level Change and Coastal Erosion (해수면 변화와 해안 침식)

  • Jeon, Dong-Chull
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.7 no.4
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    • pp.289-304
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    • 1995
  • Time series of the relative sea levels at the selected tide-gauge stations in the North Pacific and historical aerial photographs in the Hawaiian Islands are analyzed. Long-term rising trend of sea level ranges from +1 to +5 mm/yr at most of the stations, which is primarily due to global warming and tectonic motion of the plates. The annual and interannual fluctuations of sea level result from the thermal expansion/contraction of sea-surface layer due to the annual change of the solar radiation and possibly from a coupled ocean-atmosphere phenomenon associated with an ENSO event, respectively. Sea-level changes in three different time-scales (linear trend. annual oscillation, and interannual fluctuation) and their quantitative contribution to the shoreline changes as a result of long-term cross-shore sediment transport arc hypothesized.

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Buckling of axial compressed cylindrical shells with stepwise variable thickness

  • Fan, H.G.;Chen, Z.P.;Feng, W.Z.;Zhou, F.;Shen, X.L.;Cao, G.W.
    • Structural Engineering and Mechanics
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    • v.54 no.1
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    • pp.87-103
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    • 2015
  • This paper focuses on an analytical research on the critical buckling load of cylindrical shells with stepwise variable wall thickness under axial compression. An arctan function is established to describe the thickness variation along the axial direction of this kind of cylindrical shells accurately. By using the methods of separation of variables, small parameter perturbation and Fourier series expansion, analytical formulas of the critical buckling load of cylindrical shells with arbitrary axisymmetric thickness variation under axial compression are derived. The analysis is based on the thin shell theory. Analytic results show that the critical buckling load of the uniform shell with constant thickness obtained from this paper is identical with the classical solution. Two important cases of thickness variation pattern are also investigated with these analytical formulas and the results coincide well with those obtained from other authors. The cylindrical shells with stepwise variable wall thickness, which are widely used in actual engineering, are studied by this method and the analytical formulas of critical buckling load under axial compression are obtained. Furthermore, an example is presented to illustrate the effects of each strake's length and thickness on the critical buckling load.

On the absolute maximum dynamic response of a beam subjected to a moving mass

  • Lotfollahi-Yaghin, Mohammad Ali;Kafshgarkolaei, Hassan Jafarian;Allahyari, Hamed;Ghazvini, Taher
    • Structural Engineering and Mechanics
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    • v.54 no.1
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    • pp.55-67
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    • 2015
  • Taking the mid-span/center-point of the structure as the reference point of capturing the maximum dynamic response is very customary in the available literature of the moving load problems. In this article, the absolute maximum dynamic response of an Euler-Bernoulli beam subjected to a moving mass is widely investigated for various boundary conditions of the base beam. The response of the beam is obtained by utilizing a robust numerical method so-called OPSEM (Orthonormal Polynomial Series Expansion Method). It is underlined that the absolute maximum dynamic response of the beam does not necessarily take place at the mid-span of the beam and thus the conventional analysis needs modifications. Therefore, a comprehensive parametric survey of the base beam absolute maximum dynamic response is represented in which the contribution of the velocity and weight of the moving inertial objects are scrutinized and compared to the conventional version (maximum at mid-span).

Optimal design of Base Isolation System considering uncertain bounded system parameters

  • Roy, Bijan Kumar;Chakraborty, Subrata
    • Structural Engineering and Mechanics
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    • v.46 no.1
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    • pp.19-37
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    • 2013
  • The optimum design of base isolation system considering model parameter uncertainty is usually performed by using the unconditional response of structure obtained by the total probability theory, as the performance index. Though, the probabilistic approach is powerful, it cannot be applied when the maximum possible ranges of variations are known and can be only modelled as uncertain but bounded type. In such cases, the interval analysis method is a viable alternative. The present study focuses on the bounded optimization of base isolation system to mitigate the seismic vibration effect of structures characterized by bounded type system parameters. With this intention in view, the conditional stochastic response quantities are obtained in random vibration framework using the state space formulation. Subsequently, with the aid of matrix perturbation theory using first order Taylor series expansion of dynamic response function and its interval extension, the vibration control problem is transformed to appropriate deterministic optimization problems correspond to a lower bound and upper bound optimum solutions. A lead rubber bearing isolating a multi-storeyed building frame is considered for numerical study to elucidate the proposed bounded optimization procedure and the optimum performance of the isolation system.

Substructuring-Based Structural Reanalysis by Global-Local Approximations (전역-부분 근사화에 의한 부구조화 기반 구조재해석)

  • 서상구;김경일;황충열;황진하
    • Computational Structural Engineering
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    • v.9 no.1
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    • pp.141-149
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    • 1996
  • Efficient approximate reanalysis techniques based on substructuring are presented. In most optimal design problems, the analysis precedure must be repeated many times. In particular, one of the main obstacles in the structural optimization systems is high computational cost and time required for the repeated analysis of large-scale structural systems. The purpose of this paper is to show how to evaluate efficiently the sturctural behavior of new designs using information from the previous ones, instead of the multiple repeated analysis of basic equations for successive modification in the optimal design. The proposed reanalysis method is a combined Taylor series expansion and reduced basis method based on substructuring. Several numerical examples illustrate the effectiveness of the method.

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Dynamic Stiffness of the Scaled Boundary Finite Element Method for Non-Homogeneous Elastic Space (비동질 탄성 무한공간에 대한 비례경계유한요소법의 동적강도행렬)

  • Lee, Gye-Hee
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.23 no.2
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    • pp.165-173
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    • 2010
  • In this paper, the dynamic stiffness of scaled boundary finite element method(SBFEM) was analytically derived to represent the non-homogeneous space. The non-homogeneous parameters were introduced as an expotential value of power function which denoted the non-homogeneous properties of analysis domain. The dynamic stiffness of analysis domain was asymptotically expanded in frequency domain, and the coefficients of polynomial series were determined to satify the radiational condition. To verify the derived dynamic stiffness of domain, the numerical analysis of the typical problems which have the analytical solution were performed as various non-homogeneous parameters. As results, the derived dynamic stiffness adequatlly represent the features of the non-homogeneous space.

A Study on the Renewal Plan and Practical Use Way according to Architectural Features of Jungam Temple (정암사의 건축적 특징에 따른 정비계획과 활용방안에 관한 연구)

  • Choi, Jang-Soon
    • Journal of the Korean Institute of Rural Architecture
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    • v.18 no.1
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    • pp.67-74
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    • 2016
  • Establishing a renewal plan and practical use of Jungam temple, which exists natural monuments, including national treasures and Gangwondo cultural materials, at Jungseon is as important as anything else. To discuss the renewal plan and the practical use of Jungam temple, this thesis is composed with the next series of processes. First, this thesis presents examining a relationship between Jajang, who was a buddhist monk and caused a departure point of foundation of the temple, and Jungam temple is necessary; thus, the relationship of his architectural consciousness and Jungam temple was showed in this thesis. Second, this thesis demonstrates present conditions for extant facilities and features of the space structure for Jungam temple to look into architectural characteristics of Jungam temple. Third, this thesis shows preservation of Jungam temple because this temple is the historic cultural resource; in addition, this thesis explains restoring of lost elements for points, repairing shipments regarding the whole area of preservation targets, expansion of the area nearby historic cultural resources to make plans for maintaining Jungam temple. Finally, this thesis concludes the final result of Jungam temple to work towards becoming the contemporarily historic cultural resource by designating Jungam temple as the historic site and suggesting energization by public participation and experience programs to continuously manage Jungam temple.