• Title/Summary/Keyword: 부등식 제약

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A Derivation of the Representative Unit Hydrograph from Multiperiod Complex Storm by Linear Programming (선형계획법(線型計劃法)에 의한 대표단위도(代表單位圖) 유도(誘導))

  • Kwon, Oh Hun;Ryu, Tae Sang;Yoo, Ju Hwan
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.13 no.2
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    • pp.173-182
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    • 1993
  • This paper presents an algorithm to derive the representative unit hydrograph for the real environment of a watershed. For a given watershed, the conventional methods give several different unit hydrographs by storm events. In this study the LP model is somewhat modified based on the previous study by Mays et also as follows: the objective function is designed to minimize the sum of weighted residuals. An additional constraint of moving average is added to prevent the unit hydrograph from the occurence of oscillation which was not active in Mays's paper. Configuration of rainfall matrix was improved to reduce its dimension in accordance with Diskin's review point. In spite of the superiority of LP approach in terms of representativeness, all the methods were very sensitive to the validity of baseflow separation and rainfall-loss. Several methods of the separations for rainfall excesses and direct runoffs were applied and no preferred methods were identified. This is the matter of judgement considering catchment and rainfall characteristics. This algorithm was applied to a real watershed of the Wi stream in the Nak-dong river. Compared with the IHP results by conventional methods, this optimized representative unit hydrograph demonstrated relatively smaller and shorter values in terms of the peak discharge and the basin lag respectively, and the oscillation of its falling limb successfully eliminated owing to the additional constraints of moving averages.

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The analysis for mathematics education system, algebra curriculum and textbooks of Chinese Taipei and Korea by TIMSS 2007 results (대만과 우리나라의 수학 교육체계 및 대수 교육과정과 교과서 비교 -TIMSS 2007 결과를 중심으로-)

  • Kim, Sun-Hee;Kim, Kyeong-Hee
    • Journal for History of Mathematics
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    • v.23 no.4
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    • pp.101-122
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    • 2010
  • Chinese Taipei won the first place at the mathematics achievement of TIMSS 2007. Especially, there was a significant difference in the percentage of correct answers between Chinese Taipei and Korea, and Chinese Taipei' percentage of correct answers was higher than Korea. This study compared the education system, mathematics instruction environment, and instructional activities of two countries. And for algebra, curriculum and textbooks were compared between two countries based on TIMSS 2007 framework. It was found that Chinese Taipei emphasized homework and test, and MCFL of that was low. Their textbook was formal, and induced the hasty abstraction, Also, some themes were introduced earlier than Korea and repeated across different grades.

The Introduction of EMS Network Optimization Field Test in KPX (EMS 최적화기능의 실계통 적용시험 소개)

  • Kang, Hyung-Koo;Hwang, Kyung-Sik;Kim, Kwang-Ho;Lee, Kun-Woong
    • Proceedings of the KIEE Conference
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    • 2007.11b
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    • pp.106-108
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    • 2007
  • EMS 계통해석 최적화기능은 전압계획(VVD), 안전도개선(SENH), 최적조류계산(OPF) 기능을 지원하고 있다. 그러나 이들 기능은 부등호 제약처리, 이산 제어요소 처리, 제어DB 구축과 최적화 파라미터 튜닝의 어려움, 급전 가능한 제어대상 최소화, 수렴특성 난조 등 프로그램의 강인성의 문제로 전 세계적으로 실 계통에서 활발히 사용되지 못하고 있다. 본고에서는 전력거래소(KPX) EMS 최적화 프로그램 기능소개와 실계통 활용을 위한 제어DB 재구축, 튜닝, 특성시험 결과와 향후계획을 소개하고자 한다.

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A Computation of Efficient Generation Voltage for Reactive Power Market (무효전력시장 구축을 위한 효율적인 발전전압 결정에 관한 연구)

  • Jung, Seung-Wan;Song, Sung-Hwan;Yoon, Yong-Tae;Moon, Seung-Il
    • Proceedings of the KIEE Conference
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    • 2004.11b
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    • pp.201-203
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    • 2004
  • 본 논문에서는 먼저 유효전력 시장과 무효전력 시장을 분리하여 운영한다는 가정하에서 발전기의 무효전력 생산을 위한 최적의 전압값을 산정하고자 한다. 유효전력 시장에서 경제 급전(Economic Dispatch)을 통해 발전기의 유효전력 생산 비용을 최소화시키는 최적의 유효전력량 결정원리를 응용하여, 무효전력 시장에서의 발전기의 무효전력 생산 비용을 최소화시키는 최적의 발전기 전압 profile을 결정하는 무효전력시장 구축 알고리즘을 제시한다. 이 알고리즘에는 기본적으로 주효전력-전압의 조류방정식과 목적함수로서 무효진력 비용의 최소화 문제, 그리고 부하측 전압과 관련된 부등식제약조건의 선형화 문제 등이 포함된다. 이렇게 산출된 발전전압에 의한 무효전력의 가격은 실제 전압제어에 의한 가격산정이라는 측면에서 그 의미를 찾아볼 수가 있다.

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A Dynamic assignment model for Dynamic Traffic Management in AM Peak (오전 첨두시의 동적 교통관리를 위한 동적 통행배정모형에 관한 연구)

  • 박준식;박창호;전경수
    • Journal of Korean Society of Transportation
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    • v.19 no.4
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    • pp.97-108
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    • 2001
  • A dynamic transportation management should be applied specially in AM peak because AM peak is more critical than PM peak in traffic volume and demand. AM peak trip can be characterized by commuting and schooling. which have the high level of usage on public transportation, and constraint on arrival time. So transportation management applied in AM peak could deal with a mode choice and an arrival time constrain. Researchers were involved in the dynamic transportation assignment models for management of congested traffic network. But, there were no models which considered a mode choice and an arrival time constrain should be included in management of AM peak. So there are limits to use exist models to control and analyze AM peak traffic. In this study, it is proposed the combined dynamic transportation model, considering a mode choice and the start time selection with arrival time constrains, based on Ran and Boyce's model. The proposed model is verified the compatibility by applying to the newly designed time space expanded network. The result shows that proposed model consistent with dynamic user optimal travel pattern. From this we certificate the applicability of the proposed model to control and analyze AM peak traffic.

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Optimal Fuzzy Filter for Nonlinear Systems with Variance Constraints (분산 제약을 갖는 비선형 시스템의 최적 퍼지 필터)

  • Noh, Sun-Young;Park, Jin-Bae;Joo, Young-Hoon
    • Journal of the Korean Institute of Intelligent Systems
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    • v.22 no.5
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    • pp.549-554
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    • 2012
  • In this paper, we consider the optimal fuzzy filter of nonlinear discrete-time with estimation error variance constraint. First, the Takagi and Sugeno(T-S) fuzzy model is employed to approximate the nonlinear system. Next, the error state is mean square bounded, and the steady state variance of the estimation error of each state is not more than the individual predefined value. It is shown that, the addressed problem can be carried out by solving linear matrix inequality(LMI) and some algebraic quadratic matrix inequalities. Finally, some examples are provided to illustrate the design procedure and expected performance through simulations.

Improvement of the Design Space Feasibility Using the Response Surface and Kriging Method (반응면 기법과 크리깅 기법을 이용한 설계공간의 타당성 향상)

  • Ku, Yo-Cheon;Jeon, Yong-Heu;Kim, Yu-Shin;Lee, Dong-Ho
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.33 no.2
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    • pp.32-38
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    • 2005
  • In this research, a procedure to improve the feasibility of design space is proposed by an approximation model. The Chebyshev Inequality is used as the criterion of modification of design space. This procedure is applied to the aero-elastic transonic wing design problem and the feasibility of the design space is greatly improved. Also the optimization results are improved by appling this procedure. That is, the probability to satisfy all imposed constraints is increased and the better design points are included in design space after this procedure. And the use of both a second-order response surface model and the Kriging model is investigated and compared in accuracy, efficiency, and robustness as approximation models in this procedure for different sampling methods. As a result, the second-order response surface model is more appropriate for our application than the Kriging model, because it is linear enough to be fitted well by the response surface model.