한국수자원학회논문집 (Journal of Korea Water Resources Association)

  • 제42권8호
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  • Pages.643-657
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  • 2009
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  • 2799-8746(pISSN)
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  • 2799-8754(eISSN)
한국수자원학회 (Korea Water Resources Association)
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Hedging Rule을 이용한 댐 연계 운영 최적화: 한강수계 사례연구

Optimization of Multi-reservoir Operation with a Hedging Rule: Case Study of the Han River Basin

  • 류관형 (고려대학교 건축.사회환경공학부) ;
  • 정건희 (고려대학교 방재과학기술연구센터) ;
  • 이정호 (고려대학교 방재과학기술연구센터) ;
  • 김중훈 (고려대학교 건축.사회환경공학부)
  • Ryu, Gwan-Hyeong (School of Civil, Environmental and Architectural Engineering, Korea Univ.) ;
  • Chung, Gun-Hui (Research Center for Disaster Prevention Science and Technology, Korea Univ.) ;
  • Lee, Jung-Ho (Research Center for Disaster Prevention Science and Technology, Korea Univ.) ;
  • Kim, Joong-Hoon (School of Civil, Environmental and Architectural Engineering, Korea Univ.)
  • 발행 : 2009.08.31
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초록

홍수기에 집중되는 유출량을 갈수기에 적절히 활용하기 위한 대표적인 구조물이 댐이다. 제한된 용수공급량을 적절히 분배해 용수수요량을 만족시키면서 미래 갈수기시 용수공급을 대비하여 댐 저류량을 조절하는 것이 댐 운영의 중요한 목적 중 하나이다. 본 연구에서는 갈수 시 댐 저류량에 따라 댐 계획방류량을 일정비율 줄여주는 Hedging Rule을 5단계로 적용하여 댐의 상시만수위 저류량에 대한 실제 저류량의 편차, 수요에 대한 용수공급 부족량, 그리고 하천유지용수 부족량을 목적함수로 하여 혼합정수 선형계획법(MILP, Mixed Integer Linear Programming)으로 저수지 연계운영모형을 구성하였다. 한강수계의 다목적댐인 충주, 횡성, 소양강 댐과 용수전용댐인 광동 댐, 그리고 발전용 댐이지만 비교적 큰 저류용량을 가진 화천 댐을 연계 운영 대상으로 하여, 수자원장기종합계획에 사용된 2003년 유출량 및 수요량 자료와 댐 운영 실무편람의 댐 계획방류량 자료를 10일 단위로 입력하여 GAMS/CPLEX를 이용해 최적화하였다. 그 결과 생공용수 수요량 99.99%, 농업용수 수요량 99.91%, 그리고 하천유지용수 수요량 100.00%를 충족시키면서도, 실제 2003년 운영자료에 비교하여 댐 저류효율이 10.04% 개선된 결과를 도출하였다.

The major reason to construct large dams is to store surplus water during rainy seasons and utilize it for water supply in dry seasons. Reservoir storage has to meet a pre-defined target to satisfy water demands and cope with a dry season when the availability of water resources are limited temporally as well as spatially. In this study, a Hedging rule that reduces total reservoir outflow as drought starts is applied to alleviate severe water shortages. Five stages for reducing outflow based on the current reservoir storage are proposed as the Hedging rule. The objective function is to minimize the total discrepancies between the target and actual reservoir storage, water supply and demand, and required minimum river discharge and actual river flow. Mixed Integer Linear Programming (MILP) is used to develop a multi-reservoir operation system with the Hedging rule. The developed system is applied for the Han River basin that includes four multi-purpose dams and one water supplying reservoir. One of the fours dams is primarily for power generation. Ten-day-based runoff from subbasins and water demand in 2003 and water supply plan to water users from the reservoirs are used from "Long Term Comprehensive Plan for Water Resources in Korea" and "Practical Handbook of Dam Operation in Korea", respectively. The model was optimized by GAMS/CPLEX which is LP/MIP solver using a branch-and-cut algorithm. As results, 99.99% of municipal demand, 99.91% of agricultural demand and 100.00% of minimum river discharge were satisfied and, at the same time, dam storage compared to the storage efficiency increased 10.04% which is a real operation data in 2003.

키워드

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피인용 문헌

  1. Development and Assessment of Hedging Rule for Han River Reservoir System Operation against Severe Drought vol.47, pp.10, 2014, https://doi.org/10.3741/JKWRA.2014.47.10.891
  2. Study of the Lower Duration Curve Characteristic by Reservoir and Weir Couple-operating System in Geum River Basin vol.44, pp.4, 2011, https://doi.org/10.3741/JKWRA.2011.44.4.285
  3. Analysis of the Coordinated Operation of Reservoirs and Weirs during the Management of Nakdong River Water Resources vol.143, pp.8, 2017, https://doi.org/10.1061/(ASCE)WR.1943-5452.0000780
  4. A Study on Efficiency of Water Supply through Conjunctive Operation of Reservoirs and Multi-function Weirs in the Nakdong River vol.30, pp.2, 2014, https://doi.org/10.15681/KSWE.2014.30.2.138
  5. Assessing the Coordinated Operation of Reservoirs and Weirs for Sustainable Water Management in the Geum River Basin under Climate Change vol.10, pp.1, 2018, https://doi.org/10.3390/w10010030
  6. Improving Reservoir Operation Criteria to Stabilize Water Supplies in a Multipurpose Dam: Focused on Nakdong River Basin in Korea vol.10, pp.9, 2018, https://doi.org/10.3390/w10091236