• 제목/요약/키워드: quadratic programming problem

검색결과 128건 처리시간 0.021초

QP 방법과 McClellan 변환을 이용한 2차원 FIR Elliptic 필터 설계에 관한 연구 (A Study on QP Method and Two Dimensional FIR Elliptic Filter Design with McClellan Transform)

  • 김남수;이상준;김남호
    • 융합신호처리학회 학술대회논문집
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    • 한국신호처리시스템학회 2003년도 하계학술대회 논문집
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    • pp.268-271
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    • 2003
  • There are several methods for the design of 2D filter. Notable among them is McClellan transform method. This transform allows us to obtain a high order 2D FIR filter through mapping the 1D frequency points of a 1D prototype FIR filter onto 2D frequency contours. We design 2D filter using this transform. Then we notice for mapping deviation of the 2D filter. In this paper, Quadratic programming (QP) method allows us to obtain coefficients of McClellan transform. Then we compare deviation of QP method with least-squares(LS) method. Elliptic filter is used for comparison. The optimal cutoff frequencies of a 1D filter are obtained directly from the QP method. Also several problem of LS method are solved.

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전압제약을 고려한 가용송전용량 결정 및 분석 (ATC Determination and Analysis Considering Voltage Constraints)

  • 김규호;박진욱;김진오;신동준
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2004년도 추계학술대회 논문집 전력기술부문
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    • pp.169-171
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    • 2004
  • Available transfer capability(ATC) is an important indicator of the usable amount of transmission capacity accessible by several parties for commercial trading in power transaction activities. This paper deals with an application of optimization technique for available transfer capability(ATC) calculation and analyzes the results of ATC by considering several constraints. Sequential quadratic programming(SQP) is used to calculate the ATC problem with state-steady security constraints. The proposed method is applied to 10 machines 39 buses model systems to show its effectiveness.

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가용송전용량 계산을 위한 최적화기법 응용 (Application of Optimization Technique for Available Transfer Capability Caculation)

  • 김규호;신동준;김진오;김태균
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2004년도 하계학술대회 논문집 A
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    • pp.183-185
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    • 2004
  • This paper deals with an application of optimization technique for available transfer capability(ATC) calculation. ATC is an important indicator of the usable amount of transmission capacity accessible by several parties for commercial trading. Sequential quadratic programming(SQP) is used to calculate the ATC problem with state-steady security constraints. The proposed method is applied to 10 machines 39 buses model systems. The results are discussed and compared to those obtained by continuation power flow(CPF).

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평판-휜형 방열판의 수치적 형상최적화 (Numerical Shape Optimization for Plate-Fin Type Heat Sink)

  • 김형렬;박경우;최동훈
    • 설비공학논문집
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    • 제16권3호
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    • pp.293-302
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    • 2004
  • In this study the optimization of plate-fin type heat sink for the thermal stability is peformed numerically. The optimum design variables are obtained when the temperature rise and the pressure drop are minimized simultaneously. The flow and thermal fields are predicted using the finite volume method and the optimization is carried out by using the sequential quadratic programming (SQP) method which is widely used in the constrained non-linear optimization problem. The results show that when the temperature rise is less than 34.6K, the optimal design variables are as follows; B$_1$=2.468mm, B$_2$=1.365mm, and t=10.962mm. The Pareto optimal solutions are also presented for the pressure drop and the temperature rise.

곡선부에서 차륜 마모 저감을 위한 차륜답면 형상 설계 (Design of Wheel Profile to Reduce Wear of Railway Wheel)

  • 최하영;이동형;송창용;이종수
    • 한국정밀공학회지
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    • 제29권6호
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    • pp.607-612
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    • 2012
  • The wear problem of wheel flange occurs at sharp curves of rail. This paper proposes a procedure for optimum design of a wheel profile wherein flange wear is reduced by improving an interaction between wheel and rail. Application of optimization method to design problem mainly depends on characteristics of design space. This paper compared local optimization method with global optimization according to sensitivity value of objective function for design variables to find out which optimization method is appropriable to minimize wear of wheel flange. Wheel profile is created by a piecewise cubic Hermite interpolating polynomial and dynamic performances are analyzed by a railway dynamic analysis program, VAMPIRE. From the optimization results, it is verified that the global optimization method such as genetic algorithm is more suitable to wheel profile optimization than the local optimization of SQP (Sequential Quadratic Programming) in case of considering the lack of empirical knowledge for initial design value.

헬리콥터 블레이드 플랜폼 공력 최적설계(I): 최적설계 기법 (Aerodynamic Optimization of Helicopter Blade Planform (I): Design Optimization Techniques)

  • 김창주;박수형;오선구;김승호;정기훈;김승범
    • 한국항공우주학회지
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    • 제38권11호
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    • pp.1049-1059
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    • 2010
  • 본 연구는 헬리콥터 블레이드 플랜폼의 공력최적 설계를 다루었다. 블레이드 3차원 공력형상 설계단계에서 결정해야하는 주요 설계 요소를 정의하고 B$\acute{e}$zier 곡선 등을 이용하여 매개변수화 하였다. 매개변수화와 설계 구속조건은 경험적 요소와 노하우를 반영하여 산업체나 연구소 등에서 사용하고 있는 설계기법을 활용하여 정의하였다. 호버링 FM과 전진비행 등가 양항비를 최적설계 문제의 목적함수로 반영하였다. 유도된 비선형 최적화 문제는 SQP기법으로 풀이하였으며 응용연구를 통해 본 연구의 기법으로 블레이드의 익형배치, 비틀림 및 시위분포 등 중요한 플랜폼 형상을 효과적으로 설계할 수 있음을 보였다.

구조물 최적화를 위한 선형화 기법 (Application of linearization method for large-scale structure optimizations)

  • 이희각
    • 전산구조공학
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    • 제1권1호
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    • pp.87-94
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    • 1988
  • 반복 비선형 계획법의 하나인 선형화 기법을 절대수렴의 전제아래 합성 구조물의 최적 설계에 응용한다. 선형화 기법은 설계문제의 제약조건을 선형화된 등가 제약조건으로 변형시키며 active-set 정책을 구사한다. 결과, 매 설계단계에서 풀어야 할 상태 및 수반 방정식의 수를 줄임으로써 실질적인 계산의 절감을 기한다. 기둥으로 받쳐진 판-보 구조물은 최적화 기법의 능력을 시험키 위한 합성구조물의 좋은 예로서, 설계결과 선형화 기법은 만족할만한 수렴치로써 최적해를 산출함을 알 수 있고 나아가 이 방법은 모든 종류의 최적화 문제에 적용될 수 있을 것으로 보인다.

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프리스트레스트 프리캐스트 더블 티형보의 최적설계 (Design and Optimization of Prestressed Precast Double-tee Beams)

  • 유승룡;민창식
    • 콘크리트학회논문집
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    • 제11권6호
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    • pp.57-67
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    • 1999
  • Optimization scheme is presented for the design of precast prestressed double-tee beams used as slabs in the parking or market structures. The objective considered is defined by a function that minimizes the hight of the double-tee beam, including the prefabricated element and the concrete topping poured in a second phase. The Sequential Quadratic Programming method is adopted to solve the problem. As an example 12 double-tee beams are designed with the design loads of the current design code of our country. The results from optimization process show that at least 29cm less in overall height than that designed by PCI design handbook. The section determined from the optimization process was refined for practical considerations. A MathCad 7.0 Pro Spreadsheet was prepared to verify all ACI requirements for flexure, shear and deflections. Flexural tests are performed on four full-scale 12.5m prototype models and show that all the specimens are fully comply the flexural strength requirements as specified by ACI 318-95. The present optimization scheme can be used for wider application of the design of precast prestressed double-tee beams with different materials and configurations particularly for in a large scale or for important designs.

Shape Optimization of a Plate-Fin Type Heat Sink with Triangular-Shaped Vortex Generator

  • Park, Kyoungwoo;Park, Dong-Hoon
    • Journal of Mechanical Science and Technology
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    • 제18권9호
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    • pp.1590-1603
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    • 2004
  • In this study the optimization of plate-fin type heat sink with vortex generator for the thermal stability is performed numerically. The optimum solutions in the heat sink are obtained when the temperature rise and the pressure drop are minimized simultaneously. Thermal performance of heat sink is influenced by the heat sink shape such as the base-part fin width, lower-part fin width, and basement thickness. To acquire the optimal design variables automatically, CFD and mathematical optimization are integrated. The flow and thermal fields are predicted using the finite volume method. The optimization is carried out by means of the sequential quadratic programming (SQP) method which is widely used for the constrained nonlinear optimization problem. The results show that the optimal design variables are as follows; B$_1$=2.584 mm, B$_2$=1.741 mm, and t=7.914 mm when the temperature rise is less than 40 K. Comparing with the initial design, the temperature rise is reduced by 4.2 K, while the pressure drop is increased by 9.43 Pa. The relationship between the pressure drop and the temperature rise is also presented to select the heat sink shape for the designers.

신경회로망 기법을 사용한 액체금속원자로 봉다발의 형상최적화 (Shape Optimization of LMR Fuel Assembly Using Radial Basis Neural Network Technique)

  • 라자 와심;김광용
    • 대한기계학회논문집B
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    • 제31권8호
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    • pp.663-671
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    • 2007
  • In this work, shape optimization of a wire-wrapped fuel assembly in a liquid metal reactor has been carried out by combining a three-dimensional Reynolds-averaged Navier-Stokes analysis with the radial basis neural network method, a well known surrogate modeling technique for optimization. Sequential Quadratic Programming is used to search the optimal point from the constructed surrogate. Two geometric design variables are selected for the optimization and design space is sampled using Latin Hypercube Sampling. The optimization problem has been defined as a maximization of the objective function, which is as a linear combination of heat transfer and friction loss related terms with a weighing factor. The objective function value is more sensitive to the ratio of the wire spacer diameter to the fuel rod diameter than to the ratio of the wire wrap pitch to the fuel rod diameter. The optimal values of the design variables are obtained by varying the weighting factor.