• Title/Summary/Keyword: 추계학적 동적 계획법

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Development of the Optimal Joint Operation System for Geumgang (추계학적 특성을 고려한 금강수계 최적 연계운영 시스템 개발)

  • Eum, Hyung-il;Lee, Eun Goo;Kim, Young-Oh;Ko, Ik hwan
    • Proceedings of the Korea Water Resources Association Conference
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    • 2004.05b
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    • pp.272-276
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    • 2004
  • 이수기와 같이 장기적인 관점에서 저수지운영을 해야 하는 관리자는 해당 기간동안의 이익을 최대화하는 전략을 필요로 한다. 이를 위해서는 미래 유입량의 불확실성을 고려한 최적화 모형에 근거한 운영률을 수립해야 할 것이다. 본 연구에서는 금강수계의 이수기를 대상으로 추계학적 최적화 기법인 표본 추계학적 동적계획법(Sampling Stochastic Dynamic Programming)을 적용하여 최적 연계운영 시스템을 개발하였다. 본 연구를 통해 개발된 모형은 상용프로그램인 CSUDP와의 비교를 통해 검증되었으며 이를 기반으로 과거자료를 이용한 SSDP/Hist모형과 앙상블 유량예측(Ensemble Streamflow Prediction)을 이용한 SSDP/ESP모형을 개발하여 두 모형의 장${\cdot}$단점을 비교 분석하였다. 발전부분은 두 모형이 비슷하였으나 용수공급 측면에서는 SSDP/ESP가 SSDP/Hist 보다 우수함을 알 수 있었다.

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Reservoir Operating System Using Sampling Stochastic Dynamic Programming for the Han River Basin (표본 추계학적 동적계획법을 사용한 한강수계 저수지 운영시스템 개발)

  • Eum, Hyung-Il;Park, Myung-Ky
    • Journal of Korea Water Resources Association
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    • v.43 no.1
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    • pp.67-79
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    • 2010
  • Korea water resources corporation (K-Water) has developed the real-time water resources management system for the Nakdong and the Geum River basin to efficiently operate multi-purpose dams in the basins. This study has extended to the Han River basin for providing an effective ending target storage of a month to the real-time water resources management system using Sampling Stochastic Dynamic Programming (SSDP), consequently increasing the efficiency of the reservoir system. The optimization model were developed for three reservoirs, named Soyang, Chungju, and Hwacheon, with high priority in terms of the amounts of effective capacity and water supply for the basin. The number of storage state variable for each dam to set an optimization problem has been assigned from the results of sensitivity analysis. Compared with the K-water operating policy with the target water supply elevations, the optimization model suggested in this study showed that the shortfalls are decreased by 37.22 MCM/year for the required water demands in the basin, even increasing 171 GWh in hydro electronic power generation. In addition, the result of a reservoir operating system during the drawdown period applied to real situation demonstrates that additional releases for water quality or hydro electronic power generation would be possible during the drawdown period between 2007 and 2008. On the basis of these simulation results, the applicability of the SSDP model and the reservoir operating system is proved. Therefore, the more efficient reservoir operation can be achieved if the reservoir operating system is extended further to other Korean basins.

Incorporating Climate Change Scenarios into Water Resources Management (기후 변화를 고려한 수자원 관리 기법)

  • Kim, Yeong-O
    • Journal of Korea Water Resources Association
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    • v.31 no.4
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    • pp.407-413
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    • 1998
  • This study reviewed the recent studies for the climate change impact on water resource systems and applied one of the techniques to a real reservoir system - the Skagit hydropower system in U.S.A. The technique assumed that the climate change results in ±5% change in monthly average and/or standard deviation of the observed inflows for the Skagit system. For each case of the altered average and standard deviation, an optimal operating policy was derived using s SDP(Stochastic Dynamic Programming) model and compared with the operating policy for the non-climate change case. The results showed that the oparating policy of the Skagit system is more sensitive to the change in the streamflow average than that in the streamflow standard deviation. The derived operating policies were also simulated using the synthetic streamflow scenarios and their average annual gains were compared as a performance index. To choose the best operating policy among the derived policies, a Bayesian decision strategy was also presented with an example. Keywords : climate change, reservoir operating policy, stochastic dynamic programming, Bayesian decision theory.

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A Study on Objective Functions for the Multi-purpose Dam Operation Plan in Korea (국내 다목적댐 운영계획에 적합한 목적함수에 관한 연구)

  • Eum, Hyung-Il;Kim, Young-Oh;Yun, Ji-Hyun;Ko, Ick-Hwan
    • Journal of Korea Water Resources Association
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    • v.38 no.9 s.158
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    • pp.737-746
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    • 2005
  • Optimization is a process that searches an optimal solution to obtain maximum or minimum value of an objective function. Many researchers have focused on effective search algorithms for the optimum but few researches were interested in establishing the objective function. This study compares two approaches for the objective function: one allows a tradeoff among the objectives and the other does not allow a tradeoff by assigning weights for the absolute priority between the objectives. An optimization model using sampling stochastic dynamic programming was applied to these two objective functions and the resulting optimal policies were compared. As a result, the objective function with no tradeoff provides a decision making process that matches practical reservoir operations than that with a tradeoff allowed. Therefore, it is more reasonable to establish the objective function with no a tradeoff among the objectives for multi-purpose dam operation plan in Korea.

Optimal Water Allocation considering Reservoir Operation Rules (저수지 운영률을 고려한 최적용수배분)

  • Kang Jaewon;Rieu Seung-yup;Cha Donghoon;Ko Ick Hwan
    • Proceedings of the Korea Water Resources Association Conference
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    • 2005.05b
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    • pp.1430-1434
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    • 2005
  • 금강 유역과 같이 복잡한 하천유역 시스템의 관리를 위해서는 시스템 요소들을 통합적으로 분석할 수 있는 효과적인 의사결정지원 도구가 필요하다. K-MODSIM 모형은 단기 물관리, 장기 운영계획, 가뭄 대비계획 및 물관련 분쟁 해결을 위해 보다 개선된 유역관리 전략을 수립하기 위한 컴퓨터 기반 도구로 개발되었으며, 본 연구에서는 K-MODSIM 모형에 저수지 운영률을 반영하여 유역의 용수배분을 평가하였다. 유역 저수지군 운영 환경 및 제약조건을 반영한 네트워크를 구성한 후, 두 단계의 모형 검정을 수행하였다. 먼저 물리적 검정을 통해서 전체 대상 수계의 상하류 물수지를 검토하고, 다음 단계인 운영 측면의 검정에서 물리적으로 나타나는 상황이 댐 운영이나 제약 조건 등에 부합하는지의 여부를 검토하였다. 대청댐과 용담댐의 통합 운영을 위한 최적 운영률의 개발은 동적계획법 소프트웨어인 CSUDP를 이용하여 수행하였으며, 여기서 사유한 접근법은 음해 추계학적 동적계획법이다. 이 접근방법은 유입량 시계열을 추계학적으로 모의발생시키고, CSUDP 모형은 모의발생시킨 유입량 시계열에 대한 최적운영률을 찾기 위해 사용하며, CSUDP의 최적화 결과에 대한 통계적인 분석을 통해 월단위 운영률을 도출하였다. K-MODSIM 모형에 저수지 운영률을 반영하여 유역의 용수배분을 평가하였다. 유역 저수지군 운영 환경 및 제약조건을 반영한 네트워크를 구성하고, 대청댐과 용담댐의 통합 운영을 위한 최적연계 운영를을 개발하여 다음과 같은 운영 시나리오들을 개발하고 평가하였다. $\cdot$ 금강수계에 대한 용당댐의 영향 평가 $\cdot$ 댐 연계운영시 수요량 변화에 따른 영향 평가 $\cdot$ 하도추적을 고려한 일별모형의 검증 개발된 운영률과 하도추적방법을 K-MODSIM 모형에서 검증하기 위해서 vb.net 스크립트 파일을 개발하여 적용하였다.L이하로 이를 유등천 상류부에 공급할 경우 유등천의 수질은 BOD 6.7mg/L, TN 9.80mg/L, TP 0.90mg/L를 나타낼 것으로 예측된다. 고도처리시설의 도입 후 금강 합류점에서 갑천의 예측 BOD는 7.4mg/L로 현재 9.0mg/L에 비하여 개선되지만 이는 금강수계 오염총량 관리계획의 시$\cdot$도 경계지점 목표수질인 5.9mg/L를 만족시키지 못하므로, 이를 만족시키기 위해서는 방류수 BOD 7.2mg/L이하로 처리해야 할 것으로 판단된다.which support only concepts or image features.방하는 것이 선계기준에 적합한 것으로 나타났다. 밸브 개폐에 따른 수압 변화를 모의한 결과 밸브 개폐도를 적절히 유지하여 필요수량의 확보 및 누수방지대책에 활용할 수 있을 것으로 판단된다.8R(mm)(r^2=0.84)$로 지수적으로 증가하는 경향을 나타내었다. 유거수량은 토성별로 양토를 1.0으로 기준할 때 사양토가 0.86으로 가장 작았고, 식양토 1.09, 식토 1.15로 평가되어 침투수에 비해 토성별 차이가 크게 나타났다. 이는 토성이 세립질일 수록 유거수의 저항이 작기 때문으로 생각된다. 경사에 따라서는 경사도가 증가할수록 증가하였으며 $10\% 경사일 때를 기준으로 $Ro(mm)=Ro_{10}{\times}0.797{\times}e^{-0.021s(\%)}$로 나타났다.천성 승모판 폐쇄 부전등을 초래하는 심각한 선천성 심질환이다. 그러나 진단 즉시 직접 좌관상동맥-대동맥 이식술로 수술적 교정을 해줌으로써 좋은 성적을 기대할 수 있음을 보여주었다.특히 교사들이 중요하게 인식하는 해방적 행동에 대한 목표를 강조하여 적용할 필요가 있음을 시사하고 있다.교하여 유의한 차이가 관찰되지 않았다. 또한 HSP 환자군에서도 $IL1RN^{*}2$ allele 빈도와

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Stochastic River Water Quality Management by Dynamic Programming (동적계획법을 이용한 추계학적 하천수질관리)

  • Cho, Jae-Heon
    • Journal of Korean Society of Water and Wastewater
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    • v.11 no.3
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    • pp.87-95
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    • 1997
  • A river water quality management model was made by Dynamic programming. This model optimizes the wastewater treatment cost of the application area, and computed water quality with it must meet the water quality standard. And this model takes into consideration tributary input, wastewater treatment plant effluent, withdrawls for several purposes. Modified Streeter-Phelps equation was used to calculate BOD and DO. Optimization problem was solved with particular exceedance probability flow, and the water quality of each point was calculated with the decided treatment efficiencies. At that time, the probability satisfying the water quality standard of constraints to the exceedance probability of the flow. The developed model was applied to the lower part of the Han-River. The reliability to meet the water quality standard is 70 % when 4 wastewater treatment plants of Seoul City are operated by activated sludge system at autumn of the year 2001. Treatment cost of this case is 121.288 billion won per year.

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Sensitivity Analysis for Operation a Reservoir System to Hydrologic Forecast Accuracy (수문학적 예측의 정확도에 따른 저수지 시스템 운영의 민감도 분석)

  • Kim, Yeong-O
    • Journal of Korea Water Resources Association
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    • v.31 no.6
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    • pp.855-862
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    • 1998
  • This paper investigates the impact of the forecast error on performance of a reservoir system for hydropower production. Forecast error is measured as th Root Mean Square Error (RMSE) and parametrically varied within a Generalized Maintenance Of Variance Extension (GMOVE) procedure. A set of transition probabilities are calculated as a function of the RMSE of the GMOVE procedure and then incorporated into a Bayesian Stochastic Dynamic Programming model which derives monthly operating policies and assesses their performance. As a case study, the proposed methodology is applied to the Skagit Hydropower System (SHS) in Washington state. The results show that the system performance is a nonlinear function of RMSE and therefor suggested that continued improvements in the current forecast accuracy correspond to gradually greater increase in performance of the SHS.

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Analysis of ensemble streamflow prediction effect on deriving dam releases for water supply (용수공급을 위한 댐 방류량 결정에서의 앙상블 유량 예측 효과 분석)

  • Kim, Yeonju;Kim, Gi Joo;Kim, Young-Oh
    • Journal of Korea Water Resources Association
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    • v.56 no.12
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    • pp.969-980
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    • 2023
  • Since the 2000s, ensemble streamflow prediction (ESP) has been actively utilized in South Korea, primarily for hydrological forecasting purposes. Despite its notable success in hydrological forecasting, the original objective of enhancing water resources system management has been relatively overlooked. Consequently, this study aims to demonstrate the utility of ESP in water resources management by creating a simple hypothetical exercise for dam operators and applying it to actual multi-purpose dams in South Korea. The hypothetical exercise showed that even when the means of ESP are identical, different costs can result from varying standard deviations. Subsequently, using sampling stochastic dynamic programming (SSDP) and considering the capacity-inflow ratio (CIR), optimal release patterns were derived for Soyang Dam (CIR = 1.345) and Chungju Dam (CIR = 0.563) based on types W and P. For this analysis, Type W was defined with standard deviation equal to the mean inflow, and Type P with standard deviation ten times of the mean inflow. Simulated operations were conducted from 2020 to 2022 using the derived optimal releases. The results indicate that in the case of Dam Chungju, more aggressive optimal release patterns were derived under types with smaller standard deviations, and the simulated operations demonstrated satisfactory outcomes. Similarly, Soyang Dam exhibited similar results in terms of optimal release, but there was no significant difference in the simulation between types W and P due to its large CIR. Ultimately, this study highlights that even with the same mean values, the standard deviation of ESP impacts optimal release patterns and outcomes in simulation. Additionally, it underscores that systems with smaller CIRs are more sensitive to such uncertainties. Based on these findings, there is potential for improvements in South Korea's current operational practices, which rely solely on single representative values for water resources management.