• Title/Summary/Keyword: appropriate distribution

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Selection of Appropriate Probability Distribution Types for Ten Days Evaporation Data (순별증발량 자료의 적정 확률분포형 선정)

  • 김선주;박재흥;강상진
    • Proceedings of the Korean Society of Agricultural Engineers Conference
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    • 1998.10a
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    • pp.338-343
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    • 1998
  • This study is to select appropriate probability distributions for ten days evaporation data for the purpose of representing statistical characteristics of real evaporation data in Korea. Nine probability distribution functions were assumed to be underlying distributions for ten days evaporation data of 20 stations with the duration of 20 years. The parameter of each probability distribution function were estimated by the maximum likelihood approach, and appropriate probability distributions were selected from the goodness of fit test. Log Pearson type III model was selected as an appropriate probability distribution for ten days evaporation data in Korea.

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Power Distribution System Planning with Demand Uncertainty Consideration

  • Wattanasophon, Sirichai;Eua-arporn, Bundhit
    • Journal of Electrical Engineering and Technology
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    • v.3 no.1
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    • pp.20-28
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    • 2008
  • This paper proposes a method for solving distribution system planning problems taking into account demand uncertainty and geographical information. The proposed method can automatically select appropriate location and size of a substation, routing of feeders, and appropriate sizes of conductors while satisfying constraints, e.g. voltage drop and thermal limit. The demand uncertainty representing load growth is modeled by fuzzy numbers. Feeder routing is determined with consideration of existing infrastructure, e.g. streets and canals. The method integrates planner's experience and process optimization to achieve an appropriate practical solution. The proposed method has been tested with an actual distribution system, from which the results indicate that it can provide satisfactory plans.

Identifying an Appropriate Analysis Duration for the Principal Component Analysis of Water Pipe Flow Data (상수도 관망 유량관측 자료의 주성분 분석을 위한 분석기간의 설정)

  • Park, Suwan;Jeon, Daehoon;Jung, Soyeon;Kim, Joohwan;Lee, Doojin
    • Journal of Korean Society of Water and Wastewater
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    • v.27 no.3
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    • pp.351-361
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    • 2013
  • In this study the Principal Component Analysis (PCA) was applied to flow data in a water distribution pipe system to analyze the relevance between the flow observation dates, which have the outliers of observed night flows, and the maintenance records. The data was obtained from four small size water distribution blocks to which 13 maintenance records such as pipe leak and water meter leak belong. The flow data during four months were used for the analysis. The analysis was carried out to identify an appropriate analysis period for a PCA model for a water distribution block. To facilitate the analyses a computational algorithm was developed. MATLAB was utilized to realize the algorithm as a computer program. As a result, an appropriate PCA period for each of the case study small size water distribution blocks was identified.

Estimation of Design Rainfall Using 3 Parameter Probability Distributions (3변수 확률분포에 의한 설계강우량 추정)

  • Lee, Soon Hyuk;Maeng, Sung Jin;Ryoo, Kyong Sik
    • Proceedings of the Korea Water Resources Association Conference
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    • 2004.05b
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    • pp.595-598
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    • 2004
  • This research seeks to derive the design rainfalls through the L-moment with the test of homogeneity, independence and outlier of data on annual maximum daily rainfall at 38 rainfall stations in Korea. To select the appropriate distribution of annual maximum daily rainfall data by the rainfall stations, Generalized Extreme Value (GEV), Generalized Logistic (GLO), Generalized Pareto (GPA), Generalized Normal (GNO) and Pearson Type 3 (PT3) probability distributions were applied and their aptness were judged using an L-moment ratio diagram and the Kolmogorov-Smirnov (K-S) test. Parameters of appropriate distributions were estimated from the observed and simulated annual maximum daily rainfall using Monte Carlo techniques. Design rainfalls were finally derived by GEV distribution, which was proved to be more appropriate than the other distributions.

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Frequency Analysis of Extreme Rainfall Using 3 Parameter Probability Distributions (3변수 확률분포형에 의한 극치강우의 빈도분석)

  • Kim, Byeong-Jun;Maeng, Sung-Jin;Ryoo, Kyong-Sik;Lee, Soon-Hyuk
    • Journal of The Korean Society of Agricultural Engineers
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    • v.46 no.3
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    • pp.31-42
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    • 2004
  • This research seeks to derive the design rainfalls through the L-moment with the test of homogeneity, independence and outlier of data on annual maximum daily rainfall at 38 rainfall stations in Korea. To select the appropriate distribution of annual maximum daily rainfall data by the rainfall stations, Generalized Extreme Value (GEV), Generalized Logistic (GLO), Generalized Pareto (GPA), Generalized Normal (GNO) and Pearson Type 3 (PT3) probability distributions were applied and their aptness were judged using an L-moment ratio diagram and the Kolmogorov-Smirnov (K-S) test. Parameters of appropriate distributions were estimated from the observed and simulated annual maximum daily rainfall using Monte Carlo techniques. Design rainfalls were finally derived by GEV distribution, which was proved to be more appropriate than the other distributions.

A Stochastic Analysis in Fatigue Strength of Degraded Steam Turbine Blade Steel (열화된 증기 터빈블레이드의 피로강도에 대한 확률론적 해석)

  • Kim, Chul-Su;Jung, Hwa-Young;Kim, Jung-Kyu
    • Proceedings of the KSME Conference
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    • 2001.06a
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    • pp.262-267
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    • 2001
  • In this study, the Reliability of degraded steam turbine blade was evaluated using the limited fatigue data. The statistical estimation of limited fatigue data implies that some unknown uncertainties which may be involved in fatigue reliability analysis. Therefore, an appropriate distribution in the fatigue strength was determined by the characteristic distribution - linear correlation coefficient, fatigue physics, error parameter. 3-parameter Weibull distribution is the most appropriate distribution to assume for infinite region. The load applied on the blade is mainly tensile. The maximum Von-Mises stress is 219.4 MPa at the steady state service condition. The failure probability($F_p$) derived from the strength-stress interference model using Monte carlo simulation under variable service condition is 0.25% at the 99.99% confidence level.

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The Appropriate Distribution of the Number of Observed Defects When Inspector Errors are Present (불량(不良)갯수의 분포(分布)에 대한 검사과오(檢査過誤)의 영향)

  • Lee, Jong-Seong;Ahn, Se-Hee
    • Journal of Industrial Technology
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    • v.4
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    • pp.11-13
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    • 1984
  • This paper presents a proof that b(r;n, ppd) is the appropriate distribution of the number of observed defects when inspector errors are present. And the effect of inspector errors on the probability of type 1 and type 2 errors is discussed.

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An Application of Enhanced Genetic Algorithm to solve the Distribution System Restoration Problem (배전계통 사고복구 문제에 갠선된 유전 알고리즘 적용)

  • Lee, Jung-Kwan;Mun, Kyeong-Jun;Hwang, Gi-Hyun;Seo, Jeong-Il;Lee, H.S.;Park, J.H.
    • Proceedings of the KIEE Conference
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    • 1999.07c
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    • pp.1123-1125
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    • 1999
  • This paper proposes an optimization technique using Genetic Algorithm(GA) for service restoration in the distribution system. Restoration planning problem can be treated as a combinatorial optimization problem. So GA is appropriate to solve the service restoration problem in the distribution network. But searching capabilities of the GA can be enhanced by developing relevant repairing operation and modifying GA operations. In this paper, we aimed at finding appropriate open sectionalizing switch position for the restoration of distribution networks after disturbances using enhanced GA with repairing operation and modified mutation. Simulation results show that proposed method found the open sectionalizing switches with less out of service area and minimize transmission line losses and voltage drop.

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Optimization of Distribution Basin Weirs at a Sewage Treatment Plant Based on Computational Fluid Analysis Using the Taguchi and Minitab Method (전산유체해석과 다구찌 및 미니탭 방법을 활용한 하수처리장 분배조 웨어 최적화)

  • Jung, Yong-Jun;Park, Hae-Sik;Cho, Young-Man
    • Journal of Environmental Science International
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    • v.30 no.12
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    • pp.983-991
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    • 2021
  • The role of the distribution basin role is to apportion incoming raw water to the primary sedimentation basin as part of the water treatment process. The purpose of this study was to calculate the amount of water in the distribution basin using computational fluid dynamics (CFD) analysis and to find a way to improve any non-uniformity. We used the Taguchi method and the minitab tool as optimization methods. The results of the CFD calculation showed that the distribution flow had a deviation of 5% at the minimum inflow, 10% at the average inflow, and 22% at the maximum inflow. At maximum flow, the appropriate heights of the 7 weirs(C, D, A, B, E, F, G) were 40 mm, 20 mm, 20 mm, 0, 0, 0, and 20 mm, respectively, according to the Taguchi optimization tool. Here, the maximum deviation of the distribution amount was 9% and the standard deviation was 23.7. The appropriate heights of the 7 weirs, according to the Minitab tool, were 40 mm, 20 mm, 20 mm, 0, 0, 0, and 20 mm, respectively, for weirs C, D, A, B, E, F, and G. Therefore, the maximum deviation of the distribution amount was 8% and the standard deviation was 17.1, which was slightly improved compared to the Taguchi method.

A Study on the Evaluation of Probable Snowfall Depth in Korea (우리나라의 확률적설량 산정에 관한 연구)

  • Lee, Jae-Joon;Jung, Young-Hoon;Lee, Sang-Won
    • Journal of the Korean Society of Hazard Mitigation
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    • v.7 no.2 s.25
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    • pp.53-63
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    • 2007
  • This study is to evaluate the probable snowfall depth by the point frequency analysis and to draw the map of probable snowfall depth in Korea. The 14 probability distributions which has been widely used in hydrologic frequency analysis are applied to the annual maximum depth of snowfall data. The parameters of each probability distribution are estimated by method of moments, maximum likelihood method and method of probability weighted moments. The estimated parameters were checked by parameter validity conditions of each assumed probability distribution. Four tests that are $X^2-test$, Kolmogorov-Smirnov test, Cramer von Mises test and probability plot correlation coefficient test are used in this study to determine the goodness of fit of the distributions. Mostly the 2-parameter gamma distribution was determined as appropriate distribution for the annual maximum new snowfall depth. The probable snowfall depth were obtained from appropriate distribution for the selected return periods and the maps of probable snowfall depth were presented. It will be useful to specify the snowfall load for the design of agricultural facilities such as vinyl house and cattle shed.