• 제목/요약/키워드: quadratic cost function

검색결과 123건 처리시간 0.024초

Secant Method for Economic Dispatch with Generator Constraints and Transmission Losses

  • Chandram, K.;Subrahmanyam, N.;Sydulu, M.
    • Journal of Electrical Engineering and Technology
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    • 제3권1호
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    • pp.52-59
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    • 2008
  • This paper describes the secant method for solving the economic dispatch (ED) problem with generator constraints and transmission losses. The ED problem is an important optimization problem in the economic operation of a power system. The proposed algorithm involves selection of minimum and maximum incremental costs (lambda values) and then the evaluation of optimal lambda at required power demand is done by secant method. The proposed algorithm has been tested on a power system having 6, 15, and 40 generating units. Studies have been made on the proposed method to solve the ED problem by taking 120 and 200 units with generator constraints. Simulation results of the proposed approach were compared in terms of solution quality, convergence characteristics, and computation efficiency with conventional methods such as lambda iterative method, heuristic methods such as genetic algorithm, and meta-heuristic methods like particle swarm optimization. It is observed from different case studies that the proposed method provides qualitative solutions with less computational time compared to various methods available in the literature.

U형 벨로우즈의 유한요소해석과 특정 강성을 위한 형상최적설계 (A Finite Element Analysis and Shape Optimal Design with Specified Stiffness for U-typed Bellows)

  • 고병갑;서용진;박경진
    • 한국자동차공학회논문집
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    • 제3권6호
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    • pp.96-111
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    • 1995
  • A bellows is a component installed in the automobile exhaust system to reduce the impact from an engine. It's stiffness has a great influence on the natural frequency of the system. Therefore, it must be designed to keep the specified stiffness that requires in the system. This study present the finite element analysis of U-typed bellows using a curved conical frustum element and the shape optimal design with specified stiffness. The finite element analysis is verified by comparing with the experimental results. In the shape optimal design, the weight is considered as the cost function. The specified stiffness from the system design is transformed to equality constraints. The formulation has inequality constraints imposed on the fatigue limit, the natural frequencies, the buckling load and the manufacturing conditions. A procedure for shape optimization adopts a thickness, a corrugation radius, and a length of annular plate as optimal design variables. The external loading conditions include the axial and lateral loads with a boundary condition fixed at an end of the bellows. The recursive quadratic programming algorithm is selected to solve the problem. The result are compared with the existing bellows, and the characteristics of the bellows is investigated through the optimal design process. The optimized shape of the bellows are expected to give quite a good guideline to the practical design.

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비젼센서와 DRPG알고리즘을 이용한 차선 유지 보조 시스템 개발 (Development of a Lane Keeping Assist System using Vision Sensor and DRPG Algorithm)

  • 황준연;허건수;나혁민;정호기;강형진;윤팔주
    • 한국자동차공학회논문집
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    • 제17권1호
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    • pp.50-57
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    • 2009
  • Lane Keeping Assistant Systems (LKAS) require the cooperative operation between drivers and active steering angle/torque controllers. An LKAS is proposed in this study such that the desired reference path generation (DRPG) system generates the desired path to minimize the trajectory overshoot. Based on the reference path from the DRPG system, an optimal controller is designed to minimize the cost function. A HIL (Hardware In the Loop) simulator is constructed to evaluate the proposed LKAS system. The single camera is mounted on the simulator and acquires the monitor images to detect lane markers. The performance of the proposed system is evaluated by HIL system using the Carsim and the Matlab Simulink.

병렬유전알고리즘을 응용한 대규모 전력계통의 최적 부하배분 (Optimal Economic Load Dispatch using Parallel Genetic Algorithms in Large Scale Power Systems)

  • 김태균;김규호;유석구
    • 대한전기학회논문지:전력기술부문A
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    • 제48권4호
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    • pp.388-394
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    • 1999
  • This paper is concerned with an application of Parallel Genetic Algorithms(PGA) to optimal econmic load dispatch(ELD) in power systems. The ELD problem is to minimize the total generation fuel cost of power outputs for all generating units while satisfying load balancing constraints. Genetic Algorithms(GA) is a good candidate for effective parallelization because of their inherent principle of evolving in parallel a population of individuals. Each individual of a population evaluates the fitness function without data exchanges between individuals. In application of the parallel processing to GA, it is possible to use Single Instruction stream, Multiple Data stream(SIMD), a kind of parallel system. The architecture of SIMD system need not data communications between processors assigned. The proposed ELD problem with C code is implemented by SIMSCRIPT language for parallel processing which is a powerfrul, free-from and versatile computer simulation programming language. The proposed algorithms has been tested for 38 units system and has been compared with Sequential Quadratic programming(SQP).

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Robust optimization of reinforced concrete folded plate and shell roof structure incorporating parameter uncertainty

  • Bhattacharjya, Soumya;Chakrabortia, Subhasis;Dasb, Subhashis
    • Structural Engineering and Mechanics
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    • 제56권5호
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    • pp.707-726
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    • 2015
  • There is a growing trend of considering uncertainty in optimization process since last few decades. In this regard, Robust Design Optimization (RDO) scheme has gained increasing momentum because of its virtue of improving performance of structure by minimizing the variation of performance and ensuring necessary safety and feasibility of constraint under uncertainty. In the present study, RDO of reinforced concrete folded plate and shell structure has been carried out incorporating uncertainty in the relevant parameters by Monte Carlo Simulation. Folded plate and shell structures are among the new generation popular structures often used in aesthetically appealing constructions. However, RDO study of such important structures is observed to be scarce. The optimization problem is formulated as cost minimization problem subjected to the force and displacements constraints considering dead, live and wind load. Then, the RDO is framed by simultaneously optimizing the expected value and the variation of the performance function using weighted sum approach. The robustness in constraint is ensured by adding suitable penalty term and through a target reliability index. The RDO problem is solved by Sequential Quadratic Programming. Subsequently, the results of the RDO are compared with conventional deterministic design approach. The parametric study implies that robust designs can be achieved by sacrificing only small increment in initial cost, but at the same time, considerable quality and guarantee of the structural behaviour can be ensured by the RDO solutions.

Optimal dimension design of a hatch cover for lightening a bulk carrier

  • Um, Tae-Sub;Roh, Myung-Il
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제7권2호
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    • pp.270-287
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    • 2015
  • According to the increase of the operating cost and material cost of a ship due to the change of international oil price, a demand for the lightening of the ship weight is being made from various parties such as shipping companies, ship owners, and shipyards. To satisfy such demand, many studies for a light ship are being made. As one of them, an optimal design method of an existing hull structure, that is, a method for lightening the ship weight based on the optimization technique was proposed in this study. For this, we selected a hatch cover of a bulk carrier as an optimization target and formulated an optimization problem in order to determine optimal principal dimensions of the hatch cover for lightening the bulk carrier. Some dimensions representing the shape of the hatch cover were selected as design variables and some design considerations related to the maximum stress, maximum deflection, and geometry of the hatch cover were selected as constraints. In addition, the minimization of the weight of the hatch cover was selected as an objective function. To solve this optimization problem, we developed an optimization program based on the Sequential Quadratic Programming (SQP) using C++ programming language. To evaluate the applicability of the developed program, it was applied to a problem for finding optimal principal dimensions of the hatch cover of a deadweight 180,000 ton bulk carrier. The result shows that the developed program can decrease the hatch cover's weight by about 8.5%. Thus, this study will be able to contribute to make energy saving and environment-friendly ship in shipyard.

SQP법을 사용한 복합재 조류력 발전용 블레이드의 스파 캡에 대한 두께 최적화 (Thickness Optimization for Spar Cap of Composite Tidal Current Turbine Blade using SQP Method)

  • 차명찬;김상우;정민수;이인;유승재;박천진
    • Composites Research
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    • 제26권4호
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    • pp.207-212
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    • 2013
  • 본 연구에서는 유리강화섬유폴리머(GFRP)와 탄소강화섬유폴리머(CFRP)로 적층된 조류력 블레이드의 스파 캡(Spar cap)을 대상으로 끝단 처짐의 제한에 따른 단방향(UD) GFRP의 적층 두께를 최적화 하였다. 또한 도출된 적층 두께에 따른 블레이드 내부의 응력의 변화와 블레이드의 재료비용을 확인하였다. 비선형 최적화에 뛰어난 순차 이차방정식 프로그래밍(SQP) 알고리즘을 사용하였고, 목적함수를 계산하기 위하여 상용 유한요소해석 프로그램인 Abaqus/Standard와 연계하였다. UD CFRP의 적층 두께가 9 mm로 제한된 경우, 끝단 처짐이 감소함에 따라 UD GFRP의 적층 두께가 증가하였다. 즉, 최적화된 스파 캡의 무게는 최대 96.2% 증가였으며 최대 인장응력은 최대 24.6% 감소하였다. 끝단 처짐이 126.83 mm로 제한된 경우, UD CFRP의 적층 두께가 줄어듦에 따라 UD GFRP의 적층 두께가 증가하였다. 이로 인하여 무게는 최대 40.1% 증가하였지만 재료비용은 최대 16.97% 감소하였다. 본 연구에서 제시한 블레이드 스파 캡의 최적화된 두께를 바탕으로 조류력 블레이드의 무게, 내부의 최대 응력과 재료비용의 상관관계를 제시하였다.

서울시 오피스빌딩 규모의 경제에 관한 실증분석 (Empirical study of the scale economies of office buildings in Seoul)

  • 금상수
    • 한국산학기술학회논문지
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    • 제15권11호
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    • pp.6630-6638
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    • 2014
  • 국내의 금리상황은 국제시장과의 동조가 현실적일 수밖에 없기 때문에 국내외 투자자들의 관심은 안정적이고 현금흐름이 최소한의 현재의 저금리보다 수익이 높은 투자처에 대한 관심이 증가하고 있다. 이에 본 연구는 오피스빌딩 관리비용을 중심으로 규모의 경제에 의한 오피스빌딩 최적 규모를 도출함으로써 개인 및 간접투자자 등 오피스 빌딩 이해당사자들에게 정확한 투자수익율을 산정하는 기초자료를 제공하는데 그 목적이 있다. 연구방법은 규모의 경제이론과 선행연구를 검토하고, 선행연구에서 변수들을 추출하여 회귀분석의 통계적 방법을 활용하여 교차분석 및 독립변수들과의 U자형 2차 함수, 3차 함수 평균관리비용 곡선함수를 분석하여 적정규모 도출하였다. 분석결과, 오피스빌딩 평균관리비용은 권역별로 약 6~11%, 등급별로 약 10~13%, 규모별로 8~9% 차이가 있는 것으로 분석되었다. 법인소유빌딩의 평균관리비용이 가장 높게 분석되었고, 자체관리에 비해 전문업체에 위탁관리의 경우 약 11.5% 차이가 있는 것으로 분석되었다. 또한 경과년도는 약 5.3년이 가장 낮아 U자형 평균관리비용곡선을 만족시키는 것으로 나타났다. 연면적은 7.2만평까지 계속해서 증가하다가 그 이후 감소하는 ${\bigcap}$형태의 비용곡선을 나타내었다. 이러한 연구결과는 부동산 전문 관리회사의 효율적인 부동산관리경영에 대한 기초 자료를 제공하고, LCC개념을 도입하여 사회적 비용의 절감 및 향후 유지 관리, 임대 등의 운영에 최적규모의 오피스빌딩기준을 제시할 수 있을 것으로 기대된다.

최적화 기법을 이용한 LNG FPSO 액화 공정 장비의 다층 배치 (Multi-floor Layout for the Liquefaction Process Systems of LNG FPSO Using the Optimization Technique)

  • 구남국;이준채;노명일;황지현;이규열
    • 대한조선학회논문집
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    • 제49권1호
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    • pp.68-78
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    • 2012
  • A layout of an LNG FPSO should be elaborately determined as compared with that of an onshore plant because many topside process systems are installed on the limited area; the deck of the LNG FPSO. Especially, the layout should be made as multi-deck, not single-deck and have a minimum area. In this study, a multi-floor layout for the liquefaction process, the dual mixed refrigerant(DMR) cycle, of LNG FPSO was determined by using the optimization technique. For this, an optimization problem for the multi-floor layout was mathematically formulated. The problem consists of 589 design variables representing the positions of topside process systems, 125 equality constraints and 2,315 inequality constraints representing limitations on the layout of them, and an objective function representing the total layout cost. To solve the problem, a hybrid optimization method that consists of the genetic algorithm(GA) and sequential quadratic programming(SQP) was used in this study. As a result, we can obtain a multi-floor layout for the liquefaction process of the LNG FPSO which satisfies all constraints related to limitations on the layout.

고고도에서의 피탐성 최소화 유도탄 최적자세 연구 (Optimum Missile Attitude to Minimize Radar Exposure at a High Altitude)

  • 문규진;정의택;김정훈;유창경
    • 한국항공우주학회지
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    • 제47권12호
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    • pp.865-873
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    • 2019
  • 유도탄의 생존율을 향상시키기 위해서는 레이더에 의한 피탐성을 낮춰야 하는데 이는 레이더 반사 면적과 레이더에서 목표까지의 상대 거리의 함수로 주어진다. 또한 유도탄의 레이더 반사 면적은 레이더에서 방출되는 전자기파에 대한 목표물의 입사각에 의해 결정된다. 본 논문에서는 유도탄이 적절한 자세 제어 시스템을 갖추고 있다는 가정 하에 고고도에서 레이더에 의한 피탐성을 최소화하기 위한 유도탄의 자세를 조사한다. 레이더 반사 면적의 총합과 신호 대 잡음 비의 총합, 두 가지 다른 유형의 성능 비용을 고려한다. SQP 기법을 이용하여 단일 레이더 및 다수의 레이더에 대한 최적해를 산출한다.