• Title/Summary/Keyword: power-law function

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Comparison of the Damped Oscillations in between the Solar and Stellar flares

  • Cho, Kyung-Suk;Cho, Il-Hyun;Kim, Su-Jin
    • The Bulletin of The Korean Astronomical Society
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    • v.41 no.1
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    • pp.46.2-46.2
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    • 2016
  • We explore the similarity and difference of the quasi-periodic pulsations (QPPs) observed during the solar and stellar X-ray flares. For this, we identified 59 solar QPPs in the X-ray observed by the Reuven Ramaty High-Energy Solar Spectroscopic Imager (RHESSI) and 52 stellar QPPs from X-ray Multi Mirror Newton observatory (XMM-Newton). The Empirical Mode Decomposition (EMD) method and least-square-fit with the damped sine function are applied to obtain the periods and damping times of the QPPs. We found that (1) the periods and damping times of the stellar QPPs are 7.80 and 13.80 min, which are comparable with those of the solar QPPs 0.55 and 0.97 min. (2) The ratio of the damping times to the periods observed in the stellar QPPs are found to be statistically identical to the solar QPPs, (3) The damping times are well describe by the power law. The power indices of the solar and stellar QPPs are $0.891{\pm}0.172$ and $0.953{\pm}0.198$, which are consistent with the previous results. Thus, we conclude that the underlying mechanism responsible for the stellar QPPs are the natural oscillations of the flaring or adjacent coronal loops as in the Sun.

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A Robust Dynamic Decoupling Control Scheme for PMSM Current Loops Based on Improved Sliding Mode Observer

  • Shen, Hanlin;Luo, Xin;Liang, Guilin;Shen, Anwen
    • Journal of Power Electronics
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    • v.18 no.6
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    • pp.1708-1719
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    • 2018
  • A complete current loop decoupling control strategy based on a sliding mode observer (SMO) is proposed to eliminate the influence of current dynamic coupling and back electromotive force (EMF) in the vector control of permanent magnet synchronous motors. With this strategy, current dynamic decoupling and back EMF compensation can be simultaneously achieved. Unlike conventional methods, the proposed strategy can avoid the disturbances caused by the parametric variations of motor systems and maintain the advantages of proportional integral (PI) controllers, which are robust and easy to operate. An improved SMO, which uses a special PI regulator other than a linear saturation function as the equivalent control law in the boundary layer of a sliding surface, is proposed to eliminate the estimated errors caused by the quasi-sliding mode and obtain a satisfactory decoupling performance. The stability and parameter robustness of the proposed strategy are also analyzed. Physical experimental results are presented to verify the validity of the method.

Distributed plasticity approach for nonlinear analysis of nuclear power plant equipment: Experimental and numerical studies

  • Tran, Thanh-Tuan;Salman, Kashif;Kim, Dookie
    • Nuclear Engineering and Technology
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    • v.53 no.9
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    • pp.3100-3111
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    • 2021
  • Numerical modeling for the safety-related equipment used in a nuclear power plant (i.e., cabinet facilities) plays an essential role in seismic risk assessment. A full finite element model is often time-consuming for nonlinear time history analysis due to its computational modeling complexity. Thus, this study aims to generate a simplified model that can capture the nonlinear behavior of the electrical cabinet. Accordingly, the distributed plasticity approach was utilized to examine the stiffness-degradation effect caused by the local buckling of the structure. The inherent dynamic characteristics of the numerical model were validated against the experimental test. The outcomes indicate that the proposed model can adequately represent the significant behavior of the structure, and it is preferred in practice to perform the nonlinear analysis of the cabinet. Further investigations were carried out to evaluate the seismic behavior of the cabinet under the influence of the constitutive law of material models. Three available models in OpenSees (i.e., linear, bilinear, and Giuffre-Menegotto-Pinto (GMP) model) were considered to provide an enhanced understating of the seismic responses of the cabinet. It was found that the material nonlinearity, which is the function of its smoothness, is the most effective parameter for the structural analysis of the cabinet. Also, it showed that implementing nonlinear models reduces the seismic response of the cabinet considerably in comparison with the linear model.

Vibration of multilayered functionally graded deep beams under thermal load

  • Bashiri, Abdullateef H.;Akbas, Seref D.;Abdelrahman, Alaa A.;Assie, Amr;Eltaher, Mohamed A.;Mohamed, Elshahat F.
    • Geomechanics and Engineering
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    • v.24 no.6
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    • pp.545-557
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    • 2021
  • Since the functionally graded materials (FGMs) are used extensively as thermal barriers in many of applications. Therefore, the current article focuses on studying and presenting dynamic responses of multilayer functionally graded (FG) deep beams placed in a thermal environment that is not addressed elsewhere. The material properties of each layer are proposed to be temperature-dependent and vary continuously through the height direction based on the Power-Law function. The deep layered beam is exposed to harmonic sinusoidal load and temperature rising. In the modelling of the multilayered FG deep beam, the two-dimensional (2D) plane stress continuum model is used. Equations of motion of deep composite beam with the associated boundary conditions are presented. In the frame of finite element method (FEM), the 2D twelve-node plane element is exploited to discretize the space domain through the length-thickness plane of the beam. In the solution of the dynamic problem, Newmark average acceleration method is used to solve the time domain incrementally. The developed procedure is verified and compared, and an excellent agreement is observed. In numerical examples, effects of graduation parameter, geometrical dimension and stacking sequence of layers on the time response of deep multilayer FG beams are investigated with temperature effects.

A Study on the Short-circuit Protection System for Learning Teaching Instruction Using Incandescent Light Bulb (백열전구를 이용한 학습 교구용 단락보호장치에 대한 고찰)

  • Hong-yong Kim
    • Journal of the Society of Disaster Information
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    • v.19 no.4
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    • pp.844-850
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    • 2023
  • Purpose: This paper is about the development of a short-circuit protection power supply device using incandescent bulbs and its application for educational materials. This article, which considers electrical safety and energy conservation at the same time, has many kinds of potential applications for both educational and industrial areas. The above mentioned short-circuit protection power supply device using incandescent bulbs enhances safety and efficiency compared to normal current power supply devices. Additionally, as an educational materials, it can be used for electric safety training, and provides practical electrical safety knowledge on our actual life. Method: Using incandescent bulbs, design new type of short-circuit protection power supply device, and through verifying the function and safety of the device, make new type device, and applying it for an educational tool. Conclusion: This study is to develop new type of power supply device, and verify the possibility of the application for the device as an educational materials. Through this research, show an innovative solution, which contribute to electrical safety and energy conservation, and open the potential possibility on educational and industrial sectors.This kind of research is expected to contributes to enhanced research, and education on electrical safety and energy conservation management.

Analysis of Static Crack Growth in Asphalt Concrete using the Extended Finite Element Method (확장유한요소법을 이용한 아스팔트의 정적균열 성장 분석)

  • Zi, Goangseup;Yu, Sungmun;Thanh, Chau-Dinh;Mun, Sungho
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.30 no.4D
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    • pp.387-393
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    • 2010
  • This paper studies static crack growth of asphalt pavement using the extended finite element method (XFEM). To consider nonlinear characteristics of asphalt concrete, a viscoelastic constitutive equation using the Maxwell chain is used. And a linear cohesive crack model is used to regularize the crack. Instead of constructing the viscoelastic constitutive law from the Prony approximation of compliance and retardation time measured experimentally, we use a smooth log-power function which optimally fits experimental data and is infinitely differentiable. The partial moduli of the Maxwell chain from the log-power function make analysis easy because they change more smoothly in a more stable way than the ordinary method such as the least square method. Using the developed method, we can simulates the static crack growth test results satisfactorily.

Stochastic optimal control analysis of a piezoelectric shell subjected to stochastic boundary perturbations

  • Ying, Z.G.;Feng, J.;Zhu, W.Q.;Ni, Y.Q.
    • Smart Structures and Systems
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    • v.9 no.3
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    • pp.231-251
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    • 2012
  • The stochastic optimal control for a piezoelectric spherically symmetric shell subjected to stochastic boundary perturbations is constructed, analyzed and evaluated. The stochastic optimal control problem on the boundary stress output reduction of the piezoelectric shell subjected to stochastic boundary displacement perturbations is presented. The electric potential integral as a function of displacement is obtained to convert the differential equations for the piezoelectric shell with electrical and mechanical coupling into the equation only for displacement. The displacement transformation is constructed to convert the stochastic boundary conditions into homogeneous ones, and the transformed displacement is expanded in space to convert further the partial differential equation for displacement into ordinary differential equations by using the Galerkin method. Then the stochastic optimal control problem of the piezoelectric shell in partial differential equations is transformed into that of the multi-degree-of-freedom system. The optimal control law for electric potential is determined according to the stochastic dynamical programming principle. The frequency-response function matrix, power spectral density matrix and correlation function matrix of the controlled system response are derived based on the theory of random vibration. The expressions of mean-square stress, displacement and electric potential of the controlled piezoelectric shell are finally obtained to evaluate the control effectiveness. Numerical results are given to illustrate the high relative reduction in the root-mean-square boundary stress of the piezoelectric shell subjected to stochastic boundary displacement perturbations by the optimal electric potential control.

CLUSTERING OF EXTREMELY RED OBJECTS IN THE SUBARU GTO 2DEG2 FIELD

  • Shin, Jihey;Shim, Hyunjin;Hwang, Ho Seong;Ko, Jongwan;Lee, Jong Chul;Utsumi, Yousuke;Hwang, Narae;Park, Byeong-Gon
    • Journal of The Korean Astronomical Society
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    • v.50 no.3
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    • pp.61-70
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    • 2017
  • We study the angular correlation function of bright ($K_s{\leq}19.5$) Extremely Red Objects (EROs) selected in the Subaru GTO 2$deg^2$ field. By applying the color selection criteria of $R-K_s$ > 5.0, 5.5, and 6.0, we identify 9055, 4270, and 1777 EROs, respectively. The number density is consistent with similar studies on the optical - NIR color selected red galaxies. The angular correlation functions are derived for EROs with different limiting magnitude and different $R-K_s$ color cut. When we assume that the angular correlation function $w({\theta})$ follows a form of a power-law (i.e., $w({\theta})=A{\theta}^{-{\delta}}$), the value of the amplitude A was larger for brighter EROs compared to the fainter EROs. The result suggests that the brighter, thus more massive high-redshift galaxies, are clustered more strongly compared to the less massive galaxies. Assuming that EROs have redshift distribution centered at ~ 1.1 with ${\sigma}_z=0.15$, the spatial correlation length $r_0$ of the EROs estimated from the observed angular correlation function ranges ${\sim}6-10h^{-1}Mpc$. A comparison with the clustering of dark matter halos in numerical simulation suggests that the EROs are located in most massive dark matter halos and could be progenitors of $L_{\ast}$ elliptical galaxies.

The Revision Trend of UNCITRAL Model Law on International Commercial Arbitration (국제상사중재에 관한 UNCITRAL 모델법의 개정동향)

  • Lee, Kang-Bin
    • Journal of Arbitration Studies
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    • v.16 no.3
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    • pp.53-89
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    • 2006
  • At its thirty-second session(Vienna, 17 May-4 June 1999), the UNCITRAL decided that the priority items for the Working Group(Arbitration and Conciliation) should include enforceability of interim measures and the requirement of written (on for the arbitration agreement. The Working Group, at its forty-third session(Vienna, 3-7 October 2005), it had undertaken a detailed review of the text of the revised article 17 of UNCTTRAL Model Law on International Commercial Arbitration, and it had resumed discussions on a draft model legislative provision revising article 7, paragraph (2) of UNCITRAL Model Law. The purpose of this paper is to make research on the contents and issues of the draft legislative provisions on interim measures and preliminary orders, and on the form of arbitration agreement which the Working Group discussed and adopted at its forth-fourth session(New York, 23-27 January 2006). The draft legislative provisions on interim measures and preliminary orders are composed of the following provisions : Article 17-power of arbitral tribunal to order interim measures; article 17 bis-conditions for granting interim measures; article 17 ter-applications for preliminary orders and conditions for granting preliminary orders; article 17 quater-specific regime for preliminary orders; article 17 quinquies- modification, suspension, termination; article 17 sexies-provision of security; article 17 septies-disclosure; article 17 octies-costs and damages; article 17 novies recognition and enforcements; article 17 decies-grounds for refusing recognition or enforcement; article 17 undecies-court-ordered interim measures. There are the following issues in the draft legislative provisions on interim measures and preliminary orders : form of issuance of an interim measures in article 17(2); conditions for granting interim measures in article 17 bis; purpose, function and legal regime of preliminary orders in article 17 ter; obligation of arbitral tribunal to give notice, and non-enforceability of preliminary orders in article 17 quater; burden of proof, interplay between article 17 decies and article 34, and decision on the recognition and enforcement of the interim measures in article 17 decies; placement of article 17 undecies; amendment of scope exception of application in article 1(2). The draft legislative provisions on the form of arbitration agreement are composed of the following provisions : article 7(1) definition of arbitration agreement; article 7(2) arbitration agreement in writing; article 7(3) arbitration agreement if its terms(content) are (is) recorded in any form; article 7(4) arbitration agreement by an electronic communication; article 7(5) arbitration agreement in an exchange of statements of claim and defence; article 7(6) reference to any document containing an arbitration clause. There are the following issues in the draft legislative provisions on the form of arbitration agreement : arbitration agreement in writing in article 7(2); terms or contents of arbitration agreement in article 7(3); arbitration agreement by electronic communication in article 7(4); existence of arbitration agreement in article 7(5); reference to any document containing an arbitration clause in article 7(6); the alternative proposal on article 7; amendment to article 35(2).

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Legal Transformation of Advisory Procedure of the ITLOS into an Alternative Dispute Settlement Mechanism - From the Evaluation of Request for an Advisory Opinion Submitted by the Sub-Regional Fisheries Commission (Case No. 21), ITLOS (분쟁해결을 위한 대체적 수단으로서 ITLOS 권고적 의견 절차 활용 - SRFC 권고적 의견 사건(사건번호 21)을 중심으로 -)

  • Choi, Jee-hyun
    • Ocean and Polar Research
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    • v.44 no.2
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    • pp.147-160
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    • 2022
  • SRFC (Sub-Regional Fisheries Commission) requested to the ITLOS (International Tribunal for the Law of the Sea) an advisory opinion relating to the IUU (Illegl, Unreported, and Unregulated) fishing (Case No-21 of the ITLOS). Since, in the UNCLOS, there is no article authorizing the jurisdiction of the ITLOS full court's Advisory opinion, so various scholarly opinion wad divided. But ITLOS delivered its Advisory opinion confirming its jurisdictional competence over the Advisory proceedings with its legal opinion about the IUU issues. It opens new possibility of the alternative dispute settlement mechanism of the ITLOS through the advisory procedures. In reality, there has been a view that ICJ (International Court of Justice) could take the part of a kind of dispute settlement through its Advisory procedures. But the advisory procedures of the ITLOS, with no definite clause in UNCLOS about the advisory procedures, which provides more allowances for the function of advisory opinion as the alternative dispute settlement mechanism. ITLOS accepted the requests of the advisory opinion by the State parties through international organization or themselves directly. And the advisory opinion of the ITLOS aims the interpretation and application into the special issues-specially IUU fishing in Case No. 21 of the ITLOS-. Those factors could enable more enhanced role of the ITLOS as an alternative dispute settlement mechanism. But those possibility has contain risk of excessive and unlimited advisory role of the ITLOS. So it is important to focus on the restriction on the role of the State parties in the request of the advisory opinion to the ITLOS. In this regard it is meaningful that the ITLOS has suggested a kind of legal standing in the advisory procedures in that only coastal States could request the Advisory opinion about the IUU in their EEZ. Furthermore the discretionary power of the ITLOS in the Article 138 of the Rules of the Tribunal could curtail the abuse of the Advisory opinion initiated by the States parties of the UNCLOS. Under this framework, Advisory opinion could broaden more alternative option to the disputes between State parties of the UNCLOS in that after being delivered detailed interpretation of the UNCLOS about the specific issues, States parties could devote themselves to searching for flexible solution for the disputes between State parties. It could obtain legal explanation about the dispute under the Article 297 and Article 298 by detouring the jurisdiction limits through advisory procedures.