• 제목/요약/키워드: Extreme Value analysis

검색결과 261건 처리시간 0.026초

베이지안 기법을 이용한 제주지역 극치풍속의 비정상성 빈도해석 (A Nonstationary Frequency Analysis of Extreme Wind Speed in Jeju using Bayesian Approach)

  • 김경민;권현한;권순덕
    • 대한토목학회논문집
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    • 제39권6호
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    • pp.667-673
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    • 2019
  • 지구 온난화로 인해 기후변화가 가속화되고 이에 따라 강풍에 대한 재해가 늘어날 것으로 판단된다. 이에 본 연구에서는 시간에 따른 선형 경향성을 고려한 비정상성 빈도해석 모형을 구축하기 위한 방법으로 Bayesian 기법을 적용하였다. 그리고 제주공항 지점의 연 최대풍속자료를 이용하여 극치분포 매개변수들의 사후분포를 추정하고 비정상성 빈도해석을 수행하였다. 재현기간 100년 빈도의 풍속을 추정한 결과를 보면, 경향성이 통계적으로 유의하며 이로 인해 비정상성 빈도해석에 의한 기본풍속이 정상성 빈도해석의 기본풍속보다 크게 추정되고 있다. 이처럼 기상자료의 정상성을 가정한 현재의 빈도해석 절차는 경향성이 존재하는 지역의 경우에 미래의 기본풍속을 과소 추정할 가능성이 크다고 판단된다.

L 및 LH-모멘트법과 지역빈도분석에 의한 가뭄우량의 추정(I) - L-모멘트법을 중심으로 - (Estimation of Drought Rainfall by Regional Frequency Analysis using L and LH-Moments(I) - On the Method of L-Moments -)

  • 이순혁;윤성수;맹승진;류경식;주호길
    • 한국농공학회지
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    • 제45권5호
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    • pp.97-109
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    • 2003
  • This study is mainly conducted to derive the design drought rainfall by the consecutive duration using probability weighted moments with rainfall in the regional drought frequency analysis. It is anticipated to suggest optimal design drought rainfall of hydraulic structures for the water requirement and drought frequency of occurrence for the safety of water utilization through this study. Preferentially, this study was conducted to derive the optimal regionalization of the precipitation data that can be classified by the climatologically and geographically homogeneous regions all over the regions except Cheju and Ulreung islands in Korea. Five homogeneous regions in view of topographical and climatological aspects were accomplished by K-means clustering method. Using the L-moment ratio diagram and Kolmogorov-Smirnov test, generalized extreme value distribution was confirmed as the best fitting one among applied distributions. At-site and regional parameters of the generalized extreme value distribution were estimated by the method of L-moments. Design drought rainfalls using L-moments following the consecutive duration were derived by the at-site and regional analysis using the observed and simulated data resulted from Monte Carlo techniques. Relative root-mean-square error (RRMSE), relative bias (RBIAS) and relative reduction (RR) in RRMSE for the design drought rainfall derived by at-site and regional analysis in the observed an simulated data were computed and compared. In has shown that the regional frequency analysis procedure can substantially more reduce the RRMSE. RBIAS and RR in RRMSE than those of at-site analysis in the prediction of design drought rainfall. Consequently, optimal design drought rainfalls following the regions and consecutive durations were derived by the regional frequency analysis.

서울시 초미세먼지(PM2.5) 지역별 극단치 분석 (Regional Analysis of Extreme Values by Particulate Matter(PM2.5) Concentration in Seoul, Korea)

  • 오장욱;임태진
    • 품질경영학회지
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    • 제47권1호
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    • pp.47-57
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    • 2019
  • Purpose: This paper aims to investigate the concentration of fine particulate matter (PM2.5) in the Seoul area by predicting unhealthy days due to PM2.5 and comparing the regional differences. Methods: The extreme value theory is adopted to model and compare the PM2.5 concentration in each region, and each best model is selected through the goodness of fitness test. The maximum likelihood estimation technique is applied to estimate the parameters of each distribution, and the fitness of each model is measured by the mean absolute deviation. The selected model is used to estimate the number of unhealthy days (above $75{\mu}g/m^3$ PM2.5 concentrations) in each region, with which the actual number of unhealthy days are compared. In addition, the level of PM2.5 concentration in each region is analyzed by calculating the return levels for periods of 6 months, 1 year, 3 years, and 5 years. Results: The Mapo (MP) area revealed the most unhealthy days, followed by Gwanak (GW) and Yangcheon (YC). On the contrary, the number of unhealthy days was low in Seodaemun (SDM), Songpa (SP) and Gangbuk (GB) areas. The return level of PM2.5 was high in Gangnam (GN), Dongjak (DJ) and YC. It will be necessary to prepare for PM2.5 than other regions. On the contrary, Gangbuk (GB), Nowon (NW) and Seodaemun (SDM) showed relatively low return levels for PM2.5. However, in most of the regions of Seoul, PM25 is generated at a very poor level ($75{\mu}g/m^3$) every 6months period, and more than $100{\mu}g/m^3$ PM2.5 occur every 3 years period. Most areas in Seoul require more systematic management of PM2.5. Conclusion: In this paper, accurate prediction and analysis of high concentration of PM2.5 were attempted. The results of this research could provide the basis for the Seoul Metropolitan Government to establish policies for reducing PM2.5 and measuring its effects.

나노표면개질 용 초음파 진동자 설계 및 제작 (Design and Manufacturing of an Ultrasonic Waveguide for Nano-surface Treatment)

  • 김현세;이양래;임의수
    • 한국정밀공학회지
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    • 제31권12호
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    • pp.1115-1119
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    • 2014
  • In this article, a 20 kHz ultrasonic waveguide for nano-surface treatment was designed and manufactured. When designing the system, finite element analysis with ANSYS software was performed to find optimal dimensions of the waveguide, which can raise energy efficiency. Consequently an anti-resonance frequency of an Al waveguide with a piezoelectric actuator was 20 kHz, which predicted the experimentally obtained value of 18 kHz well. For the assessment of the performance, Steel Use Stainless (SUS) 304 and chromium molybdenum steel (SCM) 435 specimens were tested. Cross-sectional microscopies of SUS304 were taken and they showed that the treated thickness was $30{\mu}m$. Additionally, hardness tests of SCM435 were done and the hardness before the process was 14.0 Rockwell Hardness-C scale (HRC) and after the process was 20.5 HRC, respectively, which means 46% increase. Considering these results, the developed ultrasonic system is thought to be effective in the nano-surface treatment process.

인천해안지역의 식물군집구조 분석을 통한 해안림 식재모델 연구(I) - 곰솔림과 소나무림을 대상으로 - (The Planting Models of Maritime Forest by the Plant Community Structure Analysis in the Seaside, Incheon - A Case Study on Pinus thunbergil Community and P. densiflora Community-)

  • 권전오;이경재;장상항
    • 한국조경학회지
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    • 제31권6호
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    • pp.53-63
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    • 2004
  • Planting models for restoration forest on the seaside have been demanded because coastal reclaimed land has increased for habitation sites, industrial complexes and new towns on the west seaside of Korea. The planting models have to consider endurance for bad environmental conditions in order to make a role to protect the urban space against the extreme seaside environment. The dominant species, relative impotance value, individuals and species number were analysed in natural forests that were exposed to extreme seaside conditions in Deokjeok island and Younghung island, Incheon. The native species such as Pinus thunbergii and Pinus densiflora, which survive on the seaside, were mainly recommended because the coastal reclaimed land had extreme environmental conditions. Stable vegetation structures could be made by multi-layer planing by using these species. A diverse vegetation community could be made according to these planting models. The maritime forests made by these planting models might be more effective for environmental adaptation and a windbreak forest than alone tree, and the young trees below 3m height could easily adapt to these conditions.

Use of beta-P distribution for modeling hydrologic events

  • Murshed, Md. Sharwar;Seo, Yun Am;Park, Jeong-Soo;Lee, Youngsaeng
    • Communications for Statistical Applications and Methods
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    • 제25권1호
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    • pp.15-27
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    • 2018
  • Parametric method of flood frequency analysis involves fitting of a probability distribution to observed flood data. When record length at a given site is relatively shorter and hard to apply the asymptotic theory, an alternative distribution to the generalized extreme value (GEV) distribution is often used. In this study, we consider the beta-P distribution (BPD) as an alternative to the GEV and other well-known distributions for modeling extreme events of small or moderate samples as well as highly skewed or heavy tailed data. The L-moments ratio diagram shows that special cases of the BPD include the generalized logistic, three-parameter log-normal, and GEV distributions. To estimate the parameters in the distribution, the method of moments, L-moments, and maximum likelihood estimation methods are considered. A Monte-Carlo study is then conducted to compare these three estimation methods. Our result suggests that the L-moments estimator works better than the other estimators for this model of small or moderate samples. Two applications to the annual maximum stream flow of Colorado and the rainfall data from cloud seeding experiments in Southern Florida are reported to show the usefulness of the BPD for modeling hydrologic events. In these examples, BPD turns out to work better than $beta-{\kappa}$, Gumbel, and GEV distributions.

풍하중의 변동성을 고려한 LNG 하역구조물의 신뢰성해석 (Reliability analysis of LNG unloading arm considering variability of wind load)

  • 김동현;임종권;고재필
    • 한국강구조학회 논문집
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    • 제19권2호
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    • pp.223-231
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    • 2007
  • 풍속의 확률분포를 고려한 통영생산기지 LNG 하역설비인 Unloading arm의 신뢰성해석을 수행하였다. 기상대의 풍속 관측기록을 이용하여 풍속의 극치분포를 추정하였으며 구조물에 가해지는 풍하중은 풍속과 풍압계수를 적용한 분포하중으로 고려하였다. 하역설비는 판요소와 입체요소를 이용하여 모델링하였고 지면접촉부는 접촉요소를 이용하여 압축력에만 저항하도록 하였다. 신뢰성해석을 위해서 주요부위의 최대응력을 표현하는 응답면을 구하였으며 이 값이 허용응력 및 항복응력을 초과하는지의 여부를 신뢰함수로 정의하여 파괴확률을 구하였다. 또한, 재료강도의 저하가 파괴확률에 미치는 영향을 파악하기 위하여 민감도 분석을 수행하였다.

불확실한 인자 표본을 이용한 시스템 고유진동수의 신뢰성 설계 (Reliability Design of the Natural frequency of a System based on the Samples of Uncertain Parameters)

  • 최찬규;유홍희
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2014년도 추계학술대회 논문집
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    • pp.467-471
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    • 2014
  • The natural frequencies of a mechanical system are determined by the system parameters such as masses and stiffness of the system. Since material irregularities and manufacturing tolerances always exist in most of practical engineering situations, the system parameters always have uncertainties. As the uncertainties of the parameters increase, the uncertainties of the system natural frequencies also increases. Then, the reliability of the system deteriorates. So, the uncertainty of the system natural frequencies should be analyzed accurately and considered in the design of the system. In order to analyze the uncertainty of the system natural frequencies employing most of existing uncertainty analysis methods, the probability distributions of the uncertain system parameters should be identified. In most practical situations, however, identification of the probability distributions is almost impossible because of limited time and cost. For that case, the reliability should be estimated based on finite samples of the system parameters. In this paper, sample based reliability estimation method employing extreme value theory was proposed. Using the proposed estimation method, sample based reliability design of the system natural frequencies was conducted.

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가뭄빈도해석을 통한 가뭄심도-지속시간-생기빈도 곡선의 유도 (Derivation of Drought Severity-Duration-Frequency Curves Using Drought Frequency Analysis)

  • 이주헌;김창주
    • 한국수자원학회논문집
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    • 제44권11호
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    • pp.889-902
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    • 2011
  • 본 연구에서는 한반도에서 발생했던 과거 가뭄사상의 정량적 평가를 위한 가뭄심도-지속기간-생기빈도(Severity-Duration-Frequency, SDF) 곡선을 유도하기 위해서 가뭄지수를 이용한 빈도해석을 실시하였다. 분석지점으로는 4대강 유역을 중심으로 하는 기상청 산하의 서울, 대전, 대구, 광주, 부산관측소를 선정하였으며 강수자료는 1974~2010년(37년)의 강수 자료를 이용하였다. 가뭄빈도해석에는 기상학적 가뭄지수인 SPI (Standardized Precipitation Index)를 선정하였으며 확률분포형에 대한 적합도 검정에서는 일반극치분포(GEV, Generalized Extreme Value)가 최적의 확률분포형으로 선정되었다. 가뭄지수의 빈도해석 통하여 유도된 주요 관측소별 SDF (Severity-Duration-Frequency) 곡선을 이용하여 과거의 주요 가뭄사상에 대한 재현기간을 제시하였으며 1994~1995년 가뭄의 경우 남부지방을 중심으로 하는 극심한 가뭄으로서 광주관측소에서는 50~100년, 부산관측소에서는 100~200년의 높은 재현기간을 나타내었다. 그밖에 1988~1989년 가뭄의 경우 서울관측소에서는 300년의 재현기간을 나타내었다.

LH-모멘트에 의한 극치홍수량의 빈도분석을 위한 적정분포형 유도 (Derivation of Optimal Distribution for the Frequency Analysis of Extreme Flood using LH-Moments)

  • 맹승진;이순혁
    • 한국농공학회:학술대회논문집
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    • 한국농공학회 2002년도 학술발표회 발표논문집
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    • pp.229-232
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    • 2002
  • This study was conducted to estimate the design flood by the determination of best fitting order of LH-moments of the annual maximum series at six and nine watersheds in Korea and Australia, respectively. Adequacy for flood flow data was confirmed by the tests of independence, homogeneity, and outliers. Gumbel (GUM), Generalized Extreme Value (GEV), Generalized Pareto (GPA), and Generalized Logistic (GLO) distributions were applied to get the best fitting frequency distribution for flood flow data. Theoretical bases of L, L1, L2, L3 and L4-moments were derived to estimate the parameters of 4 distributions. L, L1, L2, L3 and L4-moment ratio diagrams (LH-moments ratio diagram) were developed in this study.

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