• Title/Summary/Keyword: Sensitivity Equation

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Eigenvalue sensitivity analysis of discrete system based on the RCF method (이산시스템에서 RCF 해석법에 기초한 감도해석)

  • Kim, Deok-Young;Park, Sung-Joo
    • Proceedings of the KIEE Conference
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    • 2007.07a
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    • pp.602-603
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    • 2007
  • In this paper, the RCF method is applied to analyze small signal stability of power systems including thyristor controlled FACTS equipments such as SVC. The eigenvalue sensitivity analysis algorithm in discrete systems by the RCF method are presented and applied to the power system including SVC. As a result of simulation, the RCF analysis method is very powerful to calculate the newly generated unstable oscillation modes precisely after periodic switching operations of SVC. Also the RCF analysis method enabled to precisely calculate eigenvalue sensitivity coefficients of dominant oscillation modes after periodic switching operations. These simulation results are very different from those of the conventional continuous system analysis method such as the state space equation method.

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Structural damage detection based on changes of wavelet transform coefficients of correlation functions

  • Sadeghian, Mohsen;Esfandiari, Akbar;Fadavie Manochehr
    • Structural Monitoring and Maintenance
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    • v.9 no.2
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    • pp.157-177
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    • 2022
  • In this paper, an innovative finite element updating method is presented based on the variation wavelet transform coefficients of Auto/cross-correlations function (WTCF). The Quasi-linear sensitivity of the wavelet coefficients of the WTCF concerning the structural parameters is evaluated based on incomplete measured structural responses. The proposed algorithm is used to estimate the structural parameters of truss and plate models. By the solution of the sensitivity equation through the least-squares method, the finite element model of the structure is updated for estimation of the location and severity of structural damages simultaneously. Several damage scenarios have been considered for the studied structure. The parameter estimation results prove the high accuracy of the method considering measurement and mass modeling errors.

Sensitivity study of parameters important to Molten Salt Reactor Safety

  • Sarah Elizabeth Creasman;Visura Pathirana;Ondrej Chvala
    • Nuclear Engineering and Technology
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    • v.55 no.5
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    • pp.1687-1707
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    • 2023
  • This paper presents a molten salt reactor (MSR) design parameter sensitivity study using a nodal dynamic modelling methodology with explicitly modified point kinetics equation and Mann's model for heat transfer. Six parameters that can impact MSR safety are evaluated. A MATLAB-Simulink model inspired by Thorcon's 550MWth MSR is used for parameter evaluations. A safety envelope was formed to encapsulate power, maximum and minimum temperature, and temperature-induced reactivity feedback. The parameters are perturbed by ±30%. The parameters were then ranked by their subsequent impact on the considered safety envelope, which ranks acceptable parameter uncertainty. The model is openly available on GitHub.

The Influences of Parental Psychological Control on Displaced Aggression -Mediating Effects of Internalized Shame and Rejection Sensitivity- (대학생이 지각한 부모의 심리적 통제가 전위공격성에 미치는 영향 : 내면화된 수치심과 거부민감성의 매개효과)

  • Keum, Da Jeong;Chung, Eun Jung
    • The Journal of the Korea Contents Association
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    • v.20 no.6
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    • pp.609-622
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    • 2020
  • The purpose of this study is to examine the mediating effect of internalized shame and rejection sensitivity between parental psychological control, and displaced aggression in college students. For this purpose, 406 data samples were collected from the college students. SPSS was used for the analysis of descriptive statistics, reliability, correlation, AMOS for the evaluation of structural equation model and the mediating effect, and Mplus for the double mediating effect. Following is the summarization of the study. First, the displaced aggression has a positive relation with parental psychological control, internalized shame, and rejection sensitivity. Also, there were positive relations between internalized shame and parental psychological control, parental psychological control and rejection sensitivity, and internalized shame and rejection sensitivity. Second, internalized shame has a full mediation effect between parental psychological control and displaced aggression. Third, rejection sensitivity has not a mediation effect between parental psychological control and displaced aggression. Fourth, internalized shame and rejection sensitivity were identified as double mediation variables between parental psychological control and displaced aggression. This result inspires the college student's displaced aggression and can be useful in college student's counseling settings. Meanings, limitations and suggest for future research were discussed.

QSPR Studies on Impact Sensitivities of High Energy Density Molecules

  • Kim, Chan-Kyung;Cho, Soo-Gyeong;Li, Jun;Kim, Chang-Kon;Lee, Hai-Whang
    • Bulletin of the Korean Chemical Society
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    • v.32 no.12
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    • pp.4341-4346
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    • 2011
  • Impact sensitivity, one of the most important screening factors for novel high energy density materials (HEDMs), was predicted by use of quantitative structure-property relationship (QSPR) based on the electrostatic potential (ESP) values calculated on the van der Waals molecular surface (MSEP). Among various 3D descriptors derived from MSEP, we utilized total and positive variance of MSEP, and devised a new QSPR equation by combining three other parameters. We employed 37 HEDMs bearing a benzene scaffold and nitro substituents, which were also utilized by Rice and Hare. All the molecular structures were optimized at the B3LYP/6-31G(d) level of theory and confirmed as minima by the frequency calculations. Our new QSPR equation provided a good result to predict the impact sensitivities of the molecules in the training set including zwitterionic molecules.

Sizing Design Sensitivity Analysis and Optimization of Radiated Noise from a Thin-body (박판 구조물의 방사 소음에 대한 크기설계 민감도 해석 및 최적 설계)

  • 이제원;왕세명
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2003.05a
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    • pp.1038-1043
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    • 2003
  • There are many industrial applications including thin-body structures such as fins. For the numerical modeling of radiation of sound from thin bodies, the conventional boundary element method (BEM) using the Helmholtz integral equation fails to yield a reliable solution. Therefore, many researchers have tried to solve the thin-body acoustic problems. In the area of the design sensitivity analysis (DSA) and optimization methods, however, there has been just a few study reported. Especially fur the thin-body acoustics, however, no further study in the DSA and optimization fields has been reported. In this research, the normal derivative integral equation is adopted as an analysis formulation in the thin-body acoustics, and then used for the sizing DSA and optimization. Since the gradient-based method is used for the optimization, it is important to have accurate gradients (design sensitivities) of the objective function and constraints with respect to the design variables. The DSA formulations are derived through chain-ruled derivatives using the finite element method (FEM) and BEM by using the direct differentiation and continuum variation concepts. The proposed approaches are implemented and validated using a numerical example.

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A Study on Evaluating of Voltage Stability Using the Line Flow Equation. (선로조류방정식 특성을 이용한 전압안정도 평가에 관한 연구)

  • Song, Kil-Young;Kim, Sae-Young;Kim, Yong-Ha
    • Proceedings of the KIEE Conference
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    • 1996.07b
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    • pp.797-799
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    • 1996
  • This paper presents a simple method for evaluating of voltage stability using the line flow equation. Line flow equations($P_{ij}$, $Q_{ij}$) are comprised of state variable, $V_i$, ${\delta}_i$, $V_j$ and ${\delta}_j$, and line parameter, r and x. Using the feature of polar coordinate, these equations become one equation with two variables, $V_i$ and $V_j$. Moreover, if bus j is slack bus or generator bus, which is specified voltage magnitude, it becomes One equation with one variable $V_i$, that is, may be formulated with the second-order equation for $V_i^2$. Therefore, solutions are obtained with simple computation. Solutions obtained are used for evaluating of voltage stability through sensitivity analysis. Also, considering of reactive power source, method for evaluating the voltage stability is introduced. The proposed method was validated to 2-bus and IEEE 6-bus system.

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Improved Sensitivity Method for Natural Frequency and Mode Shape of Damped Systems (감쇠 시스템의 고유진동수와 모드의 개선된 만감도 기법)

  • 조홍기
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 2000.10a
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    • pp.176-183
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    • 2000
  • A simplified for the eigenpair sensitivities of damped systems is presented. This approach employs a reduced equation to determine the sensitivities of eigenpairs of the damped vibratory systems with distinct eigenvalues. The derivatives of eigenpairs are obtained by solving an algebraic equation with a symmetric coefficient matrix of (n+1) b (n+1) dimension where n is the number of degree of freedom. This is an improved method of the previous work of Lee and Jung. Two equations are used to find eigenvalues derivatives and eigenvector derivatives in their paper. A significant advantage of this approach over Lee and Jung is that one algebraic equation newly developed is enough to compute such eigenvalue derivatives and eigenvector derivatives. Simulation results indicate that the new method is highly efficient in determining the sensitivities of engenpairs of the damped vibratory systems with distrinct eigenvalues.

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Comparison of Alternate Approaches for Reversible Geminate Recombination

  • Khokhlova, Svetlana S.;Agmon, Noam
    • Bulletin of the Korean Chemical Society
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    • v.33 no.3
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    • pp.1020-1028
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    • 2012
  • This work compares various models for geminate reversible diffusion influenced reactions. The commonly utilized contact reactivity model (an extension of the Collins-Kimball radiation boundary condition) is augmented here by a volume reactivity model, which extends the celebrated Feynman-Kac equation for irreversible depletion within a reaction sphere. We obtain the exact analytic solution in Laplace space for an initially bound pair, which can dissociate, diffuse or undergo "sticky" recombination. We show that the same expression for the binding probability holds also for "mixed" reaction products. Two different derivations are pursued, yielding seemingly different expressions, which nevertheless coincide numerically. These binding probabilities and their Laplace transforms are compared graphically with those from the contact reactivity model and a previously suggested coarse grained approximation. Mathematically, all these Laplace transforms conform to a single generic equation, in which different reactionless Green's functions, g(s), are incorporated. In most of parameter space the sensitivity to g(s) is not large, so that the binding probabilities for the volume and contact reactivity models are rather similar.

The Energy Release Rate for Cracks in a Rotating Continuum (균열을 내재한 회전체의 에너지방출률)

  • 이태원
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.2
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    • pp.330-337
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    • 1995
  • For a rotating body with cracks, the new energy release rate equation is presented. The derived equation is different from the other researcher's results. It is a path-independent integral which excluded the derivatives of displacements near the crack tip, thereby improving the numerical accuracy of the energy release rate computation. Moreover, as the equation was derived on basis of the energy principle and non-linear elasticity without assumptions, it can applied to the cracked body with arbitrary shape under elastic-plastic deformation. Several examples are treated to demonstrate the efficiency and accuracy of the proposed method compared to existing methods.