• Title/Summary/Keyword: Normalized functions

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Quantification of Entire Change of Distributions Based on Normalized Metric Distance for Use in PSAs

  • Han, Seok-Jung;Chun, Moon-Hyun;Tak, Nam-Il
    • Nuclear Engineering and Technology
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    • v.33 no.3
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    • pp.270-282
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    • 2001
  • A simple measure of uncertainty importance based on normalized metric distance to quantify the entire change of cumulative distribution functions (CDFs) has been developed for use in probability safety assessments (PSAs). The metric distance measure developed in this study reflects the relative impact of distributional changes of inputs on the change of an output distribution, white most of the existing uncertainty importance measures reflect the magnitude of relative contribution of input uncertainties to the output uncertainty. Normalization is made to make the metric distance measure a dimensionless quantity. The present measure has been evaluated analytically for various analytical distributions to examine its characteristics. To illustrate the applicability and strength of the present measure, two examples are provided. The first example is an application of the present measure to a typical problem of a system fault tree analysis and the second one is for a hypothetical non-linear model. Comparisons of the present result with those obtained by existing uncertainty importance measures show that the metric distance measure is a useful tool to express the measure of uncertainty importance in terms of the relative impact of distributional changes of inputs on the change of an output distribution.

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Evaluating High-Degree-and-Order Gravitational Harmonics and its Application to the State Predictions of a Lunar Orbiting Satellite

  • Song, Young-Joo;Kim, Bang-Yeop
    • Journal of Astronomy and Space Sciences
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    • v.32 no.3
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    • pp.247-256
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    • 2015
  • In this work, an efficient method with which to evaluate the high-degree-and-order gravitational harmonics of the non-sphericity of a central body is described and applied to state predictions of a lunar orbiter. Unlike the work of Song et al. (2010), which used a conventional computation method to process gravitational harmonic coefficients, the current work adapted a well-known recursion formula that directly uses fully normalized associated Legendre functions to compute the acceleration due to the non-sphericity of the moon. With the formulated algorithms, the states of a lunar orbiting satellite are predicted and its performance is validated in comparisons with solutions obtained from STK/Astrogator. The predicted differences in the orbital states between STK/Astrogator and the current work all remain at a position of less than 1 m with velocity accuracy levels of less than 1 mm/s, even with different orbital inclinations. The effectiveness of the current algorithm, in terms of both the computation time and the degree of accuracy degradation, is also shown in comparisons with results obtained from earlier work. It is expected that the proposed algorithm can be used as a foundation for the development of an operational flight dynamics subsystem for future lunar exploration missions by Korea. It can also be used to analyze missions which require very close operations to the moon.

An Active filter Design using Normalized High Order Inverse Chebyshev Functions (정규화된 고차 inverse Chebyshev함수를 이용한 능동 필터 설계)

  • 신홍규;김동용
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.13 no.4
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    • pp.322-331
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    • 1988
  • In this thesis, an active RC filter using high order inverse chebyshev function is designed and the design method for cascading blocks with low sensitivity and maximum dynamic range is discussed. To have maximum dynamic range, we have proposed the simple algorithm with a pole-zero pairing, the cascading sequence by flatness matrix and optimum gain distribution for a given transfer function. And 2nd order Block is designed with negative feedback to improve the sensitivity problem which had a defect at active RC circuits. Using the suggested method, we have designed the active RC low pass filter of the normalized 7th order inverse chebyshev function, as a results, we have shown that this accord with the given specification.

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Evaluation of Creep Crack Growth Failure Probability at Weld Interface Using Monte Carlo Simulation (몬테카를로 모사에 의한 용접 계면에서의 크리프 균열성장 파손 확률 평가)

  • Lee Jin-Sang;Yoon Kee-Bong
    • Journal of Welding and Joining
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    • v.23 no.6
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    • pp.61-66
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    • 2005
  • A probabilistic approach for evaluating failure risk is suggested in this paper. Probabilistic fracture analyses were performed for a pressurized pipe of a Cr-Mo steel reflecting variation of material properties at high temperature. A crack was assumed to be located along the weld fusion line. Probability density functions of major variables were determined by statistical analyses of material creep and creep crack growth data measured by the previous experimental studies by authors. Distributions of these variables were implemented in Monte Carlo simulation of this study. As a fracture parameter for characterizing growth of a fusion line crack between two materials with different creep properties, $C_t$ normalized with $C^*$ was employed. And the elapsed time was also normalized with tT, Resultingly, failure probability as a function of operating time was evaluated fur various cases. Conventional deterministic life assessment result was turned out to be conservative compared with that of probabilistic result. Sensitivity analysis for each input variable was conducted to understand the most influencing variable to the analysis results. Internal pressure, creep crack growth coefficient and creep coefficient were more sensitive to failure probability than other variables.

Dynamic analysis of Pine Flat dam-reservoir system utilizing Hagstrom-Warburton truncation boundary condition

  • Solmaz Dehghanmarvasty;Vahid Lotfi
    • Coupled systems mechanics
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    • v.12 no.4
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    • pp.365-389
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    • 2023
  • Dynamic analysis of a typical concrete gravity dam-reservoir system is formulated by FE-(FE-TE) approach (i.e., Finite Element-(Finite Element-Truncation Element)). In this technique, dam and reservoir are discretized by plane solid and fluid finite elements. Moreover, the H-W (i.e., Hagstrom-Warburton) high-order condition imposed at the reservoir truncation boundary. This task is formulated by employing a truncation element at that boundary. It is emphasized that reservoir far-field is excluded from the discretized model. The formulation is initially reviewed which was originally proposed in a previous study. Thereafter, the response of Pine Flat dam-reservoir system is studied due to horizontal and vertical ground motions for two types of reservoir bottom conditions of full reflective and absorptive. It should be emphasized that study is carried out under high order of H-W condition applied on the truncation boundary. The initial part of study is focused on the time harmonic analysis. In this part, it is possible to compare the transfer functions against corresponding responses obtained by FE-(FE-HE) approach (referred to as exact method). Subsequently, the transient analysis is carried out. In that part, it is only possible to compare the results for low and high normalized reservoir length cases. Therefore, the sensitivity of results is controlled due to normalized reservoir length values.

Comparison of Snow Cover Fraction Functions to Estimate Snow Depth of South Korea from MODIS Imagery

  • Kim, Daeseong;Jung, Hyung-Sup;Kim, Jeong-Cheol
    • Korean Journal of Remote Sensing
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    • v.33 no.4
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    • pp.401-410
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    • 2017
  • Estimation of snow depth using optical image is conducted by using correlation with Snow Cover Fraction (SCF). Various algorithms have been proposed for the estimation of snow cover fraction based on Normalized Difference Snow Index (NDSI). In this study we tested linear, quadratic, and exponential equations for the generation of snow cover fraction maps using data from the Moderate Resolution Imaging Spectroradiometer (MODIS) Aqua satellite in order to evaluate their applicability to the complex terrain of South Korea and to search for improvements to the estimation of snow depth on this landscape. The results were validated by comparison with in-situ snowfall data from weather stations, with Root Mean Square Error (RMSE) calculated as 3.43, 2.37, and 3.99 cm for the linear, quadratic, and exponential approaches, respectively. Although quadratic results showed the best RMSE, this was due to the limitations of the data used in the study; there are few number of in-situ data recorded on the station at the time of image acquisition and even the data is mostly recorded on low snowfall. So, we conclude that linear-based algorithms are better suited for use in South Korea. However, in the case of using the linear equation, the SCF with a negative value can be calculated, so it should be corrected. Since the coefficients of the equation are not optimized for this area, further regression analysis is needed. In addition, if more variables such as Normalized Difference Vegetation Index (NDVI), land cover, etc. are considered, it could be possible that estimation of national-scale snow depth with higher accuracy.

A Study on the Estimation of Electricity Demand for Heating and Cooling using Cross Temperature Response Function (교차기온반응함수로 추정한 전력수요의 냉난방 수요 변화 추정)

  • Park, Sung Keun;Hong, Soon Dong
    • Environmental and Resource Economics Review
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    • v.27 no.2
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    • pp.287-313
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    • 2018
  • This paper measures and analyzes cooling and heating demand in Korean electricity demand using time-varying temperature response functions and cooling and heating temperature effects. We fit the model to Korean data for residential and commercial sector over 1999:01~2016:12 and the estimation results show that the growth rate of heating demand is much higher than that of base and cooling demand, and especially the growth rate of heating demand in commercial sector is much higher. And we define the temperature-normalized demand conditioning that monthly temperatures are assumed as average monthly temperatures. The growth rate of heating demand in the estimated temperature-normalized demand is higher than that in the real demand. Our results are expected to be a base data for Winter Demand Management and short-term electricity demand forecasting.

Analysis of the Electromagnetic Scattering by Conducting Strip Gratings with 2 Dielectric Layers On a Grounded Plane (접지평면위에 2개의 유전체층을 가지는 저항띠 격자구조에서의 전자파산란 해석)

  • 윤의중
    • The Journal of Information Technology
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    • v.4 no.3
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    • pp.77-86
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    • 2001
  • In this paper, Electromagnetic scattering problem by a resistive strip grating with 2 dielectric layers on a ground plane according as resistivity of resistive strip, relative permittivity and thickness of dielectric layers, and incident angles of a electric wave is analyzed by applying the PMM (Point Matching Method) known as a numerical procedure. The scattered electromagnetic fields are expanded in a series of floquet mode functions. The boundary conditions are applied to obtain the unknown field coefficients and the resistive boundary condition is used for the relationship between the tangential electric field and the electric current density on the strip. According as the relative permittivity and the thickness of layers are increased, the values of the geometrically normalized reflected power have a high value and the values of strip width are moved toward a high value going from left to right. When the resistivity of this paper has a value of zero, the numerical results of the geometrically normalized reflected power show in good agreement with those by the PMM of existing paper. Then, the most energys of the sharp variation point in minimum values of the geometrically normalized reflected power are scattered in direction of the other angles except incident angle.

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Determining the priority order of wetland functions (내륙습지 기능의 우선순위 결정)

  • Lee, Seungjun;Choi, Hyun-Ah;Lee, Woo-Kyun;Lee, Jong Yeol;Jeon, Seong Woo;Kim, Joonsoon
    • Journal of Environmental Impact Assessment
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    • v.23 no.3
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    • pp.197-207
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    • 2014
  • In this study, the functional priority of wetlands was determined through analysis of previous research. To determine relative importance, three processes were performed. First, quantitative values from the case studies were normalized. Second, non-quantitative values were prioritized based on standard criteria. Third, equal weight was applied as long as there was no special consideration regarding a particular value's disproportionate priority in the research. Finally, results were grouped into large, medium, and small classes.In this study, the functions of the medium class were found to be the most significant, in the following order of priority: water supply and ground water recharge; culture and recreation; biodiversity; product; water quality control; flood control; erosion control; moderation of climate change; and provision of biochemical matter. To verify these results, we compared our findings with those of an assessment that used the Rapid Assessment Method (RAM) on the same type of study area. Whereas this comparison indicated some correlations by the culture, water storage, and genetic sustainability functions, it suggested a lack of such relationship by the water purification and flood prevention functions.

A Study on the Product Searching Database Optimization Based on Association Rules (연관 규칙 기반의 상품 검색 데이터베이스 최적화 연구)

  • 황현숙;박규석
    • Journal of Korea Multimedia Society
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    • v.7 no.2
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    • pp.145-155
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    • 2004
  • It is very important for Internet searching systems to have user-friendly and rapid searching functions at the managers'point of view. The former finds optimized input parameters to support the various searching requirements of user. The latter has fast searching results which are effectively normalized to various input parameters having different attributes. In this paper we basically focus on optimized database construction not only to have searching functions with multiple attributes to support maximal various input requirements of the user but also to have more rapid searching functions. For this research, we suggest a modified association algorithm that takes into consideration to the support and confidence that is the criteria of the association mining rule in order to reflect the searching characteristics of internet shopping malls. We also propose the model management systems for rapid searching functions. The following results are from a processed simulation: the more the number of searching transactions of the users increase, the less the total relative average searching time becomes.

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