• 제목/요약/키워드: Progressive quadratic response surface method

검색결과 17건 처리시간 0.027초

대형 설계 시스템의 효율적 반응표면 근사화를 위한 점진적 이차 근사화 기법 (Progressive Quadratic Approximation Method for Effective Constructing the Second-Order Response Surface Models in the Large Scaled System Design)

  • 홍경진;김민수;최동훈
    • 대한기계학회논문집A
    • /
    • 제24권12호
    • /
    • pp.3040-3052
    • /
    • 2000
  • For effective construction of second-order response surface models, an efficient quad ratic approximation method is proposed in the context of trust region model management strategy. In the proposed method, although only the linear and quadratic terms are uniquely determined using 2n+1 design points, the two-factor interaction terms are mathematically updated by normalized quasi-Newton formula. In order to show the numerical performance of the proposed approximation method, a sequential approximate optimizer is developed and solves a typical unconstrained optimization problem having 2, 6, 10, 15, 30 and 50 design variables, a gear reducer system design problem and two dynamic response optimization problems with multiple objectives, five objectives for one and two objectives for the other. Finally, their optimization results are compared with those of the CCD or the 50% over-determined D-optimal design combined with the same trust region sequential approximate optimizer. These comparisons show that the proposed method gives more efficient than others.

순차적 2 차 반응표면법을 이용한 열교환기 최적설계 (Heat Exchanger Optimization using Progressive Quadratic Response Surface Method)

  • 박경우;최동훈;이관수;김양현
    • 대한기계학회:학술대회논문집
    • /
    • 대한기계학회 2004년도 추계학술대회
    • /
    • pp.1022-1027
    • /
    • 2004
  • In this study, the shape of plate-fin type heat sink is numerically optimized to acquire the minimum pressure drop under the required temperature rise. To do this, a new sequential approximate optimization (SAO) is proposed and it is integrated with the computational fluid dynamics (CFD). In thermal/fluid systems for constrained nonlinear optimization problems, three fundamental difficulties such as high cost for function evaluations (i.e., pressure drop and thermal resistance), the absence of design sensitivity information, and the occurrence of numerical noise are confronted. To overcome these problems, the progressive quadratic response surface method (PQRSM), which is one of the sequential approximate optimization algorithms, is proposed and the heat sink is optimize by means of the PQRSM.

  • PDF

Shape Optimization to Minimize The Response Time of Direct-acting Solenoid Valve

  • Shin, Yujeong;Lee, Seunghwan;Choi, Changhwan;Kim, Jinho
    • Journal of Magnetics
    • /
    • 제20권2호
    • /
    • pp.193-200
    • /
    • 2015
  • Direct-acting solenoid valves are used in the automotive industry due to their simple structure and quick response in controlling the flow of fluid. We performed an optimization study of response time in order to improve the dynamic performance of a direct-acting solenoid valve. For the optimal design process, we used the commercial optimization software PIAnO, which provides various tools for efficient optimization including design of experiments (DOE), approximation techniques, and a design optimization algorithm. 35 sampling points of computational experiments are performed to find the optimum values of the design variables. In all cases, ANSYS Maxwell electromagnetic analysis software was used to model the electromagnetic dynamics. An approximate model generated from the electromagnetic analysis was estimated and used for the optimization. The best optimization model was selected using the verified approximation model called the Kriging model, and an optimization algorithm called the progressive quadratic response surface method (PQRSM).

프로그레시브 전단 공정에서 박판 핀 비틀림 최소화를 위한 스프링 배치 최적화 (Optimization of Spring Layout for Minimizing Twist of Sheet Metal Pins in Progressive Shearing)

  • 송호권;심정길;금영탁
    • 소성∙가공
    • /
    • 제23권8호
    • /
    • pp.501-506
    • /
    • 2014
  • Progressive shearing with blanking dies is commonly employed to produce large quantities of tiny sheet metal electronic parts. Sheet metal pins, which are narrow and long, that are sheared with a progressive die set are often twisted. The twist in the sheet metal pins, which usually occurs in the final shearing operation, generally decreases with increasing blank holding force. The blank holding forces in all shearing operations are not the same because of different shearing positions and areas. In the current study, the optimal layout of the springs in a progressive die set to minimize the twist of the sheet metal pin is proposed. In order to find the holding force acting on the tiny narrow blanks produced with the proposed springs during the shearing process, the equivalent area method is used in the structural analysis. The shearing of the sheet-metal pin was simulated to compute the twist angle associated with the blank holding force. The constraint condition satisfying the pre-set blank holding force from the previous shearing operations was imposed. A design of experiments (DOE) was numerically implemented by analyzing the progressive die structure and by simulating the shearing process. From the meta-model created from the experimental results and by using a quadratic response surface method (PQRSM), the optimal layout of the springs was determined. The twist of sheet metal pin associated with the optimal layout of the springs found in the current study was compared with that of an existing progressive die to obtain a minimal amount of twist.

Head Slider Designs Using Approximation Methods

  • Yoon, Sang-Joon;Park, Dong-Hoon
    • Journal of Mechanical Science and Technology
    • /
    • 제18권1호
    • /
    • pp.37-44
    • /
    • 2004
  • This paper presents an approach to optimally design the air bearing surface (ABS) of the head slider by using the approximation methods. The reduced basis concept is used to reduce the number of design variables. In the numerical calculation, the progressive quadratic response surface modeling (PQRSM) is used to handle the non-smooth and discontinuous cost function. A multi-criteria optimization problem is formulated to enhance the flying performances over the entire recording band during the steady state and track seek operations. The optimal solutions of the sliders, whose target flying heights are 12 nm and 9 nm, are automatically obtained. The flying heights during the steady state operation become closer to the target values and the flying height variations during the track seek operation are smaller than those for the initial one. The pitch and roll angles are also kept within suitable ranges over the recording band.

Multi-Object Optimization of the Switched Reluctance Motor

  • Choi, Jae-Hak;Kim, Sol;Kim, Yong-Su;Lee, Sang-Don;Lee, Ju
    • KIEE International Transaction on Electrical Machinery and Energy Conversion Systems
    • /
    • 제4B권4호
    • /
    • pp.184-189
    • /
    • 2004
  • In this paper, multi-object optimization based on a progressive quadratic response surface method (PQRSM) and a time stepping finite element method (FEM) is proposed. The new PQRSM and FEM are able to decide optimal geometric and electric variables of the switched reluctance motor (SRM) with two objective functions: torque ripple minimization and average torque maximization. The result of the optimum design for SRM demonstrates improved performance of the motor and enhanced relationship between torque ripple and average torque.

점진적 2차 반응 표면 모델링 방법(PQRSM)을 이용한 SRM의 최적 설계 (The Optimal Design of Switched Reluctance Motor Using Progressive Quadratic Response Surface Method)

  • 최재학;정성인;박재범;이주;홍경진;최동훈
    • 대한전기학회:학술대회논문집
    • /
    • 대한전기학회 2002년도 하계학술대회 논문집 B
    • /
    • pp.595-597
    • /
    • 2002
  • This paper presents an optimum design, which is able to determine optimal geometric and electric parameters of Switched Reluctance Motor so as to fit respective operating conditions specified in various industrial fields. Those works describe an approach to maximize the average torque while keeping the torque ripple within 10${\sim}$100(%) of respective limited values. This optimum design is obtained by uniting an optimization algorithm of PQRSM to a time stepping finite element method.

  • PDF

자석 형상 최적화를 통한 축방향 이상 횡자속형 전동기의 토크 특성 향상에 관한 연구 (Improvement of Torque Characteristics of a Rotatory Two-Phase Transverse Flux Machine Optimizing the shape of Rotor Pole)

  • 안희태;장건희;장정환;정시욱;강도현
    • 한국소음진동공학회:학술대회논문집
    • /
    • 한국소음진동공학회 2008년도 추계학술대회논문집
    • /
    • pp.286-292
    • /
    • 2008
  • Transverse flux machine (TFM) has been developed to drive a machine of large input power at low-speed. However, it has complicated structure and large torque ripple due to its inherent structure In this paper the characteristics of torque of a rotatory two-phase TFM are analyzed by using the 3-dimensional finite to element method and optimal design. This research shows that one of the effective design variables is the skew angle of permanent magnet. The skew angles of permanent magnet are optimized by using a Progressive Quadratic Response Surface Method (PQRSM). It also shows that the proposed optimal skew magnet not only increases average torque but also decreases torque ripple of a rotatory two-phase TFM.

  • PDF

스위치드 릴럭턴스 전동기의 다중목적함수의 최적화 방법 연구 (The Multi-objective Optimization of Switched Reluctance Motor)

  • 최재학;신현훈;임진재;이주;이중호;백수현
    • 대한전기학회:학술대회논문집
    • /
    • 대한전기학회 2002년도 추계학술대회 논문집 전기기기 및 에너지변환시스템부문
    • /
    • pp.118-120
    • /
    • 2002
  • In this paper, a multi-object optimization based on a progressive quadratic response surface method (PQRSM) and a time stepping finite element method (FEM) is proposed. The new PQRSM and FEM are able to decide optimal geometric and electric variables of the switched reluctance motor (SRM) with two objective functions: torque ripple minimization and average torque maximization. The result of the optimum design for SRM show an improved performance of motor and a relationship between torque ripple and average torque.

  • PDF

스위치드 릴럭턴스 전동기의 토오크 리플 저감을 위한 기하학적인 파라미터와 전기적인 파라미터의 최적화 (Optimum Geometric and Electrical Parameter for Minimization Torque Ripple of Switched Reluctance Motor)

  • 최재학;김솔;이갑재;이주;홍경진;최동훈
    • 대한전기학회논문지:전기기기및에너지변환시스템부문B
    • /
    • 제52권3호
    • /
    • pp.93-100
    • /
    • 2003
  • Switched reluctance motor(SRM) has some advantages such as low cost, high torque density but SRM has essentially high torque ripple due to its salient structure. In order to apply SRM to industrial field, torque ripple has to be reduced. This paper introduces optimal design process of SRM using an optimization algorithm of Progressive Quadratic Response Surface Modeling(PQRSM) and two-dimensional(2D) Finite Element Method(FEM). The electrical and geometrical design parameters have been adopted as 2D design variables. From this work, it can be obtained both the optimal design minimized torque ripple and the optima1 design maximized the average torque, respectively. Finally, this Paper Presents Performance comparison of two optimal designs and consider influence of the selected design variables in torque characteristics.