• 제목/요약/키워드: LH-moments

검색결과 19건 처리시간 0.02초

Gamma 및 비Gamma군 분포모형에 의한 강우의 지점 및 지역빈도 비교분석 (I) (Comparative Analysis of Regional and At-site Analysis for the Design Rainfall by Gamma and Non-Gamma Family (I))

  • 류경식;이순혁
    • 한국농공학회논문집
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    • 제46권4호
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    • pp.25-36
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    • 2004
  • This study was conducted to derive the design rainfall by the consecutive duration using the at-site frequency analysis. Using the errors, K-S tests and LH-moment ratios, Log Pearson type 3 (LP3) and Generalized Extreme Value (GEV) distributions of Gamma and Non-Gamma Family, respectively were identified as the optimal probability distributions among applied distributions. Parameters of GEV and LP3 distributions were estimated by the method of L and LH-moments and the Indirect method of moments respectively. Design rainfalls following the consecutive duration were derived by at-site frequency analysis using the observed and simulated data resulted from Monte Carlo techniques. Relative root-mean-square error (RRMSE) and relative efficiency (RE) in RRMSE for the design rainfall derived by at-site analysis in the observed and simulated data were computed and compared. It has shown that at-site frequency analysis by GEV distribution using L-moments is confirmed as more reliable than that of GEV and LP3 distributions using LH-moments and Indirect method of moments in view of relative efficiency.

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.

L-모멘트 및 LH-모멘트 기법에 의한 적정 설계홍수량의 유도( I ) - L-모멘트법을 중심으로 - (Derivation of Optimal Design Flood by L-Moments and LB-Moments ( I ) - On the method of L-Moments -)

  • 이순혁;박명근;맹승진;정연수;김동주;류경식
    • 한국농공학회지
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    • 제40권4호
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    • pp.45-57
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    • 1998
  • This study was conducted to derive optimal design floods by Generalized Extreme Value (GEV) distribution for the annual maximum series at ten watersheds along Han, Nagdong, Geum, Yeongsan and Seomjin river systems. Adequacy for the analysis of flood data used in this study was established by the tests of Independence, Homogeneity, detection of Outliers. L-coefficient of variation, L-skewness and L-kurtosis were calculated by L-moment ratio respectively. Parameters were estimated by the Methods of Moments and L-Moments. Design floods obtained by Methods of Moments and L-Moments using different methods for plotting positions in GEV distribution were compared by the Relative Mean Errors(RME) and Relative Absolute Errors(RAE). The results were analyzed and summarized as follows. 1. Adequacy for the analysis of flood data was acknowledged by the tests of Independence, Homogeneity and detection of Outliers. 2. GEV distribution used in this study was found to be more suitable one than Pearson type 3 distribution by the goodness of fit test using Kolmogorov-Smirnov test and L-Moment ratios diagram in the applied watersheds. 3. Parameters for GEV distribution were estimated using Methods of Moments and L-Moments. 4. Design floods were calculated by Methods of Moments and L-Moments in GEV distribution. 5. It was found that design floods derived by the method of L-Moments using Weibull plotting position formula in GEV distribution are much closer to those of the observed data in comparison with those obtained by method of moments using different formulas for plotting positions from the viewpoint of Relative Mean Errors and Relative Absolute Errors.

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고차확률가중모멘트법에 의한 지역화빈도분석과 GIS기법에 의한 설계강우량 추정 (Estimation of Design Rainfall by the Regional Frequency Analysis using Higher Probability Weighted Moments and GIS Techniques)

  • 이순혁;박종화;류경식;지호근;신용희
    • 한국농공학회:학술대회논문집
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    • 한국농공학회 2002년도 학술발표회 발표논문집
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    • pp.237-240
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    • 2002
  • Design rainfall using LH-moments following the consecutive duration were derived by the regional and at-site analysis using the observed and simulated data resulted from Monte Carlo techniques. RRMSE, RBIAS and RR in RRMSE for the design rainfall were computed and compared in the regional and at-site frequency analysis. Consequently, it was shown that the regional analysis can substantially more reduce the RRMSE, RBIAS and RR in RRMSE than at-site analysis in the prediction of design rainfall. RE for an optimal order of L-moments was also computed by the methods of L, L1, L2, L3 and L4-moments for GEV distribution. It was found that the method of L-moments is more effective than the others for getting optimal design rainfall according to the regions and consecutive durations in the regional frequency analysis. Diagrams for the design rainfall derived by the regional frequency analysis using L-moments were drawn according to the regions and consecutive durations by GIS techniques.

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여러 차수의 확률 가중 모멘트를 이용한 적정 분포함수의 매개변수 추정 (Using Various Order Probability Weighted Moments for the Parameter Estimation of Appropriate Distribution Functions)

  • 이길성;김지영
    • 한국수자원학회:학술대회논문집
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    • 한국수자원학회 2004년도 학술발표회
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    • pp.635-639
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    • 2004
  • 댐과 같은 구조물의 설계시 큰 강우량에 내한 분포함수의 적합성을 놀일 필요가 있다. 이에 대해 Wang (1997a and b)은 큰 설계량에 내한 적합성을 놀이기 위해 LH 모멘트와 고차 PWM(higher Probability Weighted Moments)방법을 제안하였다. 따라서 본 연구에서는 우리나라의 자 지역별로 대표적인 4개 지점의 일 강우량 자료를 사용하여 제안된 고차 PWM 방법의 적용성을 살펴보았다. 그 과정으로 가장 낮은 차수인 일반적인 PWM 방법과 더 높은 차수의 PWM 방법을 이용하여, GEV(Generalized Extreme Value) 분포와 Gumbel 분포에 대한 매개변수를 추정한 후 이 추정치를 확률지에 실측치와 함께 도시하여 결과를 비교하였다. 그리고 PPCC(Probability Plot Correlation Coefficient) 적합도 검정결과를 통해 추정된 매개변수의 적합성을 확인하였다.

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확률가중모멘트의 차수 변화에 따른 홍수량 변동 특성 분석 (Analysis on Characteristics of Variation in Flood Flow by Changing Order of Probability Weighted Moments)

  • 맹승진;황주하
    • 한국산학기술학회논문지
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    • 제10권5호
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    • pp.1009-1019
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    • 2009
  • 본 연구에서는 우리나라 수위관측소들 중에서 관측 유량이 검증된 총 19개 유역을 선정하고 관측된 홍수량을 사용하여 적정 설계홍수량을 유도함으로써 우리나라의 설계홍수량 특성을 분석하였다. 대상유역별로 관측개시 년도에서부터 분석 시작년을 기준으로 1년씩 증가 시키는 점진적 구성 방식으로 연최대홍수량에 대한 빈도분석을 실시하기 위해, 변동특성을 이동평균법에 의해 분석하였다. 19개 대상유역에 대한 연최대홍수량 계열 구성기간별로 기본통치를 산정하고 독립성, 동질성 및 Outiler 검정을 실시하였다. Gumbel, Generalized Extreme Value, Generalized Logistic 및 Generalized Pareto 분포의 적합도 검정을 LH-모멘트비도와 Kolmogorov-Smirnov 검정에 의해 수행하였다. 적정 확률분포로 선정된 GEV 분포의 매개변수를 확률가중모멘트의 치수 변화에 의한 L, L1, L2, L3 및 L4-모멘트법에 의해 추정하고 대상유역 및 연최대홍수량 계열 구성 기간별 설계홍수량을 유도하였다. 본 연구에서 사용한 변동률 분석에 따라 최근 지구온난화에 따른 우리나라 기후 변화를 고려한 적절한 수리구조물의 설계 조건변경시기는 2002년 전후로 하여야 할 것이다.

Gamma 및 비Gamma군 분포모형에 의한 강우의 지점 및 지역빈도 비교분석 (Ⅱ) (Comparative Analysis of Regional and At-site Analysis for the Design Rainfall by Gamma and Non-Gamma Family (Ⅱ))

  • 이순혁;류경식
    • 한국농공학회논문집
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    • 제46권5호
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    • pp.15-26
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    • 2004
  • This study was conducted to derive the regional design rainfall by the regional frequency analysis based on the regionalization of the precipitation. The optimal regionalization of the precipitation data were classified by the above mentioned regionalization for all over the regions except Jeju and Ulleung islands in Korea. Design rainfalls following the consecutive duration were derived by the 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 rainfall were computed and compared between the regional and at-site frequency analysis. It 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 rainfall. Consequently, optimal design rainfalls following the classified regions and consecutive durations were derived by the regional frequency analysis using Generalized extreme value distribution which was identified to be more optimal one than the other applied distributions. Diagrams for the design rainfall derived by the regional frequency analysis using L-moments were drawn according to the regions and consecutive durations by GIS techniques.

사례 분석을 통한 복합말뚝 이음위치의 설계 기준식 개선 연구 (A Study for Improved Design Criteria of Composite Pile Joint Location based on Case Analysis)

  • 황의성
    • 한국지반환경공학회 논문집
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    • 제20권3호
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    • pp.21-30
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    • 2019
  • 복합말뚝(Composite Pile)이란, 수평력이 크게 작용하는 구간에는 강관말뚝, 작게 작용하는 구간에는 PHC말뚝을 특수한 연결 장치로 결합한 말뚝으로서 토목 구조물의 기초 재료로써 상용화되는 추세에 있다. 이러한 복합말뚝의 핵심은 강관말뚝과 PHC말뚝을 연결하는 연결 장치의 안정성과, 이음 위치를 산정하는 설계기준이라고 할 수 있는데 국내에서는 복합말뚝 이음부 위치에 대한 정확한 시방규정이 없어서, LH 설계처(한국토지주택공사, 2009)에서는 도로설계요령 제3권(한국도로공사, 2001)을 참고하여 작성한 "복합말뚝 설계적용 및 설계도서 표기 방안 검토"를 복합말뚝 설계의 기준으로 사용해 오고 있지만 복합말뚝의 단면변화라고 볼 수 없어 적용에 한계성을 가지고 있는 실정이다. 이에 따라 본 연구에서는 복합말뚝의 단면 변화부(강관말뚝과 PHC말뚝의 이음부) 위치에 대한 설계기준을 제안하고 이에 대한 안정성 및 경제성을 검토하고자 실험적인 방법과 해석적인 방법을 이용하여 연결장치에 대한 안정성을 검증하였으며, 국내 교량공사 교대 79개소에 시공된 복합말뚝 설계자료를 분석하여 말뚝 본체 및 이음부에 작용하는 응력, 휨모멘트, 변위 등의 경향성을 파악하였고, 개선식이 적용된 재설계 과정을 통해 이음부에서 발생한 응력들이 연결장치와 PHC말뚝의 허용응력 수치 내로 발생하는 것을 확인하였다. 결론적으로 사례분석을 통한 복합말뚝 이음위치의 설계 제안식은 복합말뚝을 설계함에 있어서 안정성과 경제성을 모두 고려한 개선된 설계기법임을 알 수 있었다.