• Title/Summary/Keyword: 집합체 혼합 진화 알고리즘

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Application of a Penalty Function to Improve Performance of an Automatic Calibration Model (벌칙 함수를 이용한 자동 보정 모형의 기능 향상에 관한 연구)

  • Kang, Tae-Uk;Lee, Sang-Ho
    • Proceedings of the Korea Water Resources Association Conference
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    • 2012.05a
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    • pp.853-857
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    • 2012
  • 진화계열 알고리즘은 무제약 최적화 알고리즘이다. 이러한 진화계열 알고리즘에 제약조건을 반영하기 위해서는 제약조건을 다룰 수 있는 추가적인 방법이 요구된다. 연구에서는 SWMM과 집합체 혼합진화 알고리즘을 연계한 자동 보정 모형에 제약조건을 반영하기 위해 벌칙 함수를 적용하였다. 적용된 벌칙 함수는 홍수 유출 해석 시 중요한 요소인 첨두유량과 관계된 제약사항이다. 벌칙 함수를 포함하여 구성된 자동 보정 모형은 밀양댐의 2009년 7월에 발생한 두 개의 호우사상에 대하여 적용되었다. 그 결과, 첨두유량에 관계된 벌칙 함수를 포함하지 않은 자동 보정의 경우, 첨두유량과 첨두유출 발생시간 모두 계산 결과가 관측자료에 부합하지 못하였다. 반면에 벌칙 함수를 적용할 경우, 계산 및 관측 자료의 첨두유량 오차는 확연히 줄었고, 첨두유량의 발생시간은 정확히 일치하였다. 그리고 계산된 수문곡선의 형상도 관측 수문곡선에 적합되었다. 즉, 벌칙 함수를 이용한 제약조건의 반영을 통해 자동 보정 모형의 기능을 향상 시킬 수 있었다.

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Application of a Penalty Function to Improve Performance of an Automatic Calibration for a Watershed Runoff Event Simulation Model (홍수유출 모형 자동 보정의 벌칙함수를 이용한 기능 향상 연구)

  • Kang, Taeuk;Lee, Sangho
    • Journal of Korea Water Resources Association
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    • v.45 no.12
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    • pp.1213-1226
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    • 2012
  • Evolutionary algorithms, which are frequently used in an automatic calibration of watershed runoff simulation models, are unconstrained optimization algorithms. An additional method is required to impose constraints on those algorithms. The purpose of the study is to modify the SCE-UA (shuffled complex evolution-University of Arizona) to impose constraints by a penalty function and to improve performance of the automatic calibration module of the SWMM (storm water management model) linked with the SCE-UA. As indicators related to peak flow are important in watershed runoff event simulation, error of peak flow and error of peak flow occurrence time are selected to set up constraints. The automatic calibration module including the constraints was applied to the Milyang Dam Basin and the Guro 1 Pumping Station Basin. The automatic calibration results were compared with the results calibrated by an automatic calibration without the constraints. Error of peak flow and error of peak flow occurrence time were greatly improved and the original objective function value is not highly violated in the automatic calibration including the constraints. The automatic calibration model with constraints was also verified, and the results was excellent. In conclusion, the performance of the automatic calibration module for watershed runoff event simulation was improved by application of the penalty function to impose constraints.

A Comparison Study of Objective Functions for Automatic Calibration of a Watershed Runoff Continuous Simulation Model (유역 유출 연속모의 모형의 자동 보정을 위한 목적함수 구성에 관한 연구)

  • Ko, Dong-Geun;Lee, Sang-Ho;Kang, Tae-Uk
    • Proceedings of the Korea Water Resources Association Conference
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    • 2012.05a
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    • pp.279-283
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    • 2012
  • 유역 유출 연속모의 모형은 수자원 계획과 효율적인 물 관리 정책 수립에 중요한 도구가 된다. 유역 유출 연속모의 모형에는 다수의 매개변수가 있으며, 이러한 매개변수는 모형 보정을 통해 추정된다. 연구에서 사용한 모형은 SWMM이며 집합체 혼합 진화 알고리즘으로 자동 보정하였다. 자동 보정에 사용되는 최적화 알고리즘은 목적함수에 따라 상이한 결과를 도출하기도 한다. 이에 따라 본 연구에서는 유역 유출 모형의 자동보정에 적합한 목적함수를 선정하기 위하여 4개의 목적함수를 구성하였고, 밀양댐 유역에 적용하였다. 그리고 목적함수에 따른 자동 보정의 결과를 평가하기 위해 5가지의 평가지표를 활용하였다. 보정의 결과, 모든 목적함수에서 공통적으로 첨두유량의 오차는 다소 크게 발생하였다. 그리고 잔차 절대값의 합이 최소가 되도록 구성한 목적함수가 다른 목적함수에 비해 상대적으로 양호한 결과를 도출하였지만, 목적함수에 따른 큰 차이는 없었다. 또한, 유역 유출 연속모의에서는 유역의 물수지가 중요한 요소이므로 향후, 보다 정확도 높은 유역 유출 연속모의 모형의 자동 보정을 위해서는 첨두유량과 물수지와 관련된 오차를 제어할 수 있는 추가적인 기법이 요구된다.

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Application of the SCE-UA to Derive Zone Boundaries of a Zone Based Operation Rule for a Dam (저수지 수위 구간별 운영률의 구간 경계 도출을 위한 집합체 혼합진화 알고리즘의 적용)

  • Kang, Shinuk;Kang, Taeuk;Lee, Sangho
    • Journal of Korea Water Resources Association
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    • v.47 no.10
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    • pp.921-934
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    • 2014
  • The purpose of the study is to derive a long term reservoir operation method that is easy to understand and apply to practical use for dam operators. The zone based operation rule is a simple method to make operation decisions by criteria corresponding to storage zones. The reservoir storage levels dividing a reservoir, however, must be determined by some methods. We developed a reservoir operation model based on the zone based operation rule and the shuffled complex evolution algorithm (SCE-UA) was used to determine storage levels for zone division. The model was applied to Angat Dam in the Philippines that has trouble in water supply due to imbalance between supply and demand. We derived a zone based operation rule for Angat Dam and applied it to the reservoir simulation of Angat Dam using the historical inflow. The simulation results showed water supply deficit and power generation were improved by 34.5% and 21.2%, respectively, when compared with the historical records. The current study results may be used to derive a long term reservoir operation rule.

A Study for an Automatic Calibration of Urban Runoff Model by the SCE-UA (집합체 혼합진화 알고리즘을 이용한 도시유역 홍수유출 모형의 자동 보정에 관한 연구)

  • Kang, Tae-Uk;Lee, Sang-Ho;Kang, Shin-Uk;Park, Jong-Pyo
    • Journal of Korea Water Resources Association
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    • v.45 no.1
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    • pp.15-27
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    • 2012
  • SWMM (Storm Water Management Model) has been widely used in the world as a typical model for flood runoff analysis of urban areas. However, the calibration of the model is difficult, which is an obstacle to easy application. The purpose of the study is to develop an automatic calibration module of the SWMM linked with SCE-UA (Shuffled Complex Evolution-University of Arizona) algorithm. Generally, various objective functions may produce different optimization results for an optimization problem. Thus, five single objective functions were applied and the most appropriate one was selected. In addition to the objective function, another objective function was used to reduce peak flow error in flood simulation. They form a multiple objective function, and the optimization problem was solved by determination of Pareto optima. The automatic calibration module was applied to the flood simulation on the catchment of the Guro 1 detention reservoir and pump station. The automatic calibration results by the multiple objective function were more excellent than the results by the single objective function for model assessment criteria including error of peak flow and ratio of volume between observed and calculated flow. Also, the verification results of the model calibrated by the multiple objective function were reliable. The program could be used in various flood runoff analysis in urban areas.

Development on an Automatic Calibration Module of the SWMM for Watershed Runoff Simulation and Water Quality Simulation (유역유출 및 수질모의에 관한 SWMM의 자동 보정 모듈 개발)

  • Kang, Taeuk;Lee, Sangho
    • Journal of Korea Water Resources Association
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    • v.47 no.4
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    • pp.343-356
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    • 2014
  • The SWMM (storm water management model) has been widely used in the world and is a watershed runoff simulation model used for a single event or a continuous simulation of runoff quantity and quality. However, there are many uncertain parameters in the watershed runoff continuous simulation module and the water quality module, which make it difficult to use the SWMM. The purpose of the study is to develop an automatic calibration module of the SWMM not only for watershed runoff continuous simulation, but also water quality simulation. The automatic calibration module was developed by linking the SWMM with the SCE-UA (shuffled complex evolution-University of Arizona) that is a global optimization algorithm. Estimation parameters of the SWMM were selected and search ranges of them were reasonably configured. The module was validated by calibration and verification of the watershed runoff continuous simulation model and the water quality model for the Donghyang Stage Station Basin. The calibration results for watershed runoff continuous simulation model were excellent and those for water quality simulation model were generally satisfactory. The module could be used in various studies and designs for watershed runoff and water quality analyses.