• Title/Summary/Keyword: objective function Constraint

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설계변수의 공차를 고려한 구조물의 강건 최적설계 (Robust Structural Optimization Considering the Tolerances of Design Variables)

  • 이권희;박경진
    • 대한기계학회논문집A
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    • 제21권1호
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    • pp.112-123
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    • 1997
  • The optimization techniques have been applied to versatile engineering problems for reducing manufacturing cost and for automatic design. The deterministic approaches or op5imization neglect the effects on uncertainties of design variables. The uncertainties include variation or perturbation such as tolerance band. The optimum may be useless when the constraints considering worst cases of design variables can not be satisfied, which results from constraint variation. The variation of design variables can also give rise to drastic change of performances. The two issues are related to constraint feasibility and insensitive performance. Robust design suggested in the present study is developed to gain an optimum insensitive to variation on design variables within feasible region. The multiobjective function is composed to the mean and the standard deviation of original objective function, while the constraints are supplemented by adding penalty term to original constraints. This method has a advantage that the second derivatives of the constraints are not required. A mathematical problem and several standard problems for structural optimization are solved to check out the usefulness of the suggested method.

복합 유성기어를 이용한 듀얼모드 하이브리드 자동차의 가속성능 최적화 (Accelerating Ability Optimization for Dual Mode Hybrid Vehicle Using Complex Planetary Gears)

  • 양시우;김남욱;양호림;박영일;차석원
    • 한국신재생에너지학회:학술대회논문집
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    • 한국신재생에너지학회 2006년도 추계학술대회
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    • pp.97-100
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    • 2006
  • Accelerating ability is one of the most important performance of the vehicle. Unlike conventional internal combustion vehicles and power-assist hybrid vehicles, the maximized acceleration of dual mode hybrid vehicles is not simply. achieved by maximizing engine or motor torque Because of the dynamic stability of planetary gear, speeds and torques control of engine, motor 1 and motor 2 is essential and according to control value, acceleration performance is changed There are two control values which are velocity and torque for each component totalling six. These six values can be variables for an objective function. However, because three velocity variables can be regarded as only one variable speed ratio and the remaining three torque variables can be solved analytically, without complicated numerical algorithm the solution for the objective function can be obtained. This optimized solution shows the best performance possible to the specified dual mode system.

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등가답면구배를 목적함수로 하는 차륜답면형상 설계기법 (Design Method of Railway Wheel Profile with Objective Function of Eqivalent Conicity)

  • 허현무;유원희;박준혁;김민수
    • 한국정밀공학회지
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    • 제27권8호
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    • pp.13-19
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    • 2010
  • A design method of railway wheel profile with objective function of equivalent conicity considering wheel dimension constraint, two points contact problem between wheel and rail was proposed. New design method shows good results. New wheel profile generated from optimization process shows better dynamic performance compared with initial profile as the purpose of wheel profile design. And to verify the design method with testing the stability of new wheel profile, we conducted a critical speed test for new wheel profile using scale model applied scaling method of railway vehicle dynamics. The result of critical speed test show good agreement with that of numerical analysis. From the above results, it is seen that the design method with objective function of equivalent conicity is feasible and it could be applied to design new wheel profile efficiently.

비선형 분산안전법을 이용한 최적장기송전계률 알고리 (Optimal Long-term Transmission Planning Algorithm using Non-linear Branch-and-bound Method)

  • 박영문;신중린
    • 대한전기학회논문지
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    • 제37권5호
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    • pp.272-281
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    • 1988
  • The problem of optimal transmission system planning is to find the most economical locations and time of transmission line construction under the various constraints such as available rights-of-way, finances, the technical characteristics of power system, and the reliability criterion of power supply, and so on. In this paper the constraint of right-of-way is represented as a finite set of available rights-of-way. And the constructed for a unit period. The electrical constraints are represented in terms of line overload and steady state stability margin. And the reliability criterion is dealt with the suppression of failure cost and with single-contingency analysis. In general, the transmission planning problem requires integer solutions and its objective function is nonlinear. In this paper the objective function is defined as a sum of the present values of construction cost and the minimum operating cost of power system. The latter is represented as a sum of generation cost and failure cost considering the change of yearly load, economic dispatch, and the line contingency. For the calculation of operating cost linear programming is adopted on the base of DC load flow calculation, and for the optimization of main objective function nonlinear Branch-and-Bound algorithm is used. Finally, for improving the efficiency of B & B algorithm a new sensitivity analysis algorithm is proposed.

Quasiconcave Bilevel Programming Problem

  • Arora S.R.;Gaur Anuradha
    • Management Science and Financial Engineering
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    • 제12권1호
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    • pp.113-125
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    • 2006
  • Bilevel programming problem is a two-stage optimization problem where the constraint region of the first level problem is implicitly determined by another optimization problem. In this paper we consider the bilevel quadratic/linear fractional programming problem in which the objective function of the first level is quasiconcave, the objective function of the second level is linear fractional and the feasible region is a convex polyhedron. Considering the relationship between feasible solutions to the problem and bases of the coefficient submatrix associated to variables of the second level, an enumerative algorithm is proposed which finds a global optimum to the problem.

유전알고리즘을 이용한 전력계통 안정화 장치의 강인한 $H_\infty$최적 튜닝 ($H_\infty$ Optimal tuning of Power System Stabilizer using Genetic Algorithm)

  • 정형환;이준탁;이정필;한길만
    • 대한전기학회논문지:전력기술부문A
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    • 제49권3호
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    • pp.85-94
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    • 2000
  • In this paper, a robust H$\infty$ optimal tuning problem of a structure-specified PSS is investigated for power systems with parameter variation and disturbance uncertainties. Genetic algorithm is employed for optimization method of PSS parameters. The objective function of the optimization problem is the H$\infty$-norm of a closed loop system. The constraint of the optimization problem are based on the stability of the controller, limits on the values of the parameters and the desired damping of the dominant oscillation mode. It is shown that the proposed H$\infty$ PSS tuned using genetic algorithm is more robust than conventional PSS.

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Dynamic Economic Dispatch for Microgrid Based on the Chance-Constrained Programming

  • Huang, Daizheng;Xie, Lingling;Wu, Zhihui
    • Journal of Electrical Engineering and Technology
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    • 제12권3호
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    • pp.1064-1072
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    • 2017
  • The power of controlled generators in microgrids randomly fluctuate because of the stochastic volatility of the outputs of photovoltaic systems and wind turbines as well as the load demands. To address and dispatch these stochastic factors for daily operations, a dynamic economic dispatch model with the goal of minimizing the generation cost is established via chance-constrained programming. A Monte Carlo simulation combined with particle swarm optimization algorithm is employed to optimize the model. The simulation results show that both the objective function and constraint condition have been tightened and that the operation costs have increased. A higher stability of the system corresponds to the higher operation costs of controlled generators. These operation costs also increase along with the confidence levels for the objective function and constraints.

초고속 충돌을 받는 모자형 보강 패널의 충격 저감 특성에 관한 연구 (A Study of Impact Reduction Characteristics of Hat-Shaped Stiffened Panel Under Hypervelocity Impact)

  • 양태호;이영신
    • 대한기계학회논문집A
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    • 제37권7호
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    • pp.929-935
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    • 2013
  • 본 논문은 사각 보강 패널에 사용되는 모자형 보강재의 크기 최적화에 대한 결과를 제시하였다. 보강 패널은 1500 ~ 2500 m/s 의 속도를 가지는 발사체와 충돌한다. 모자형 보강재의 크기를 결정하기 위해서 크기 최적화가 수행되었다. 크기 최적화를 수행하기 위해서는 3 개의 함수들로 구성되어 있다. 이 함수들은 목적함수, 제한함수 그리고 설계 함수로 이루어져 있다. 목적 함수는 보강 패널의 1 차 고유 진동수의 최대화가 되도록 하는 것이다. 제함 함수는 보강재의 부피가 사각 패널 부피의 10 % 이내가 되도록 하는 것이며, 설계 변수로는 모자형 보강재의 치수가 된다. 최적화된 모자형 보강재를 이용하한 보강 패널을 사용하여 초고속 충돌에 대한 시뮬레이션을 수행하였으며, 최적화된 보강재에 대해서 속도와 운동 에너지 변화에 대한 결과를 얻었다. 보강 패널의 충돌 저감을 평가하기 위해서 발사체의 운동 에너지와 속도를 무차원화 계산을 수행하여 비교 분석 하였다.

Optimum Inventory Level and optimal Selling Price to Realize a Pre-determined Level of Profit

  • Kang, Suk-Ho;Noh, Seung-Jong
    • 대한산업공학회지
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    • 제12권1호
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    • pp.43-48
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    • 1986
  • In this paper, the one period multi-item inventory model is considered in which it is required to determine the production quantity and selling price of each item which maximize the probability of realizing predetermined level of profit. The objective function of this model is the sum of weighted probabilities which represent the possibility of obtaining the predetermined level of profit for each item. Budget constraint, inventory site constraint and constraints of price are considered. Finally this paper shows a numerical example in which random demand of each item has exponential distribution.

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Stochastic optimum design criterion of added viscous dampers for buildings seismic protection

  • Marano, Giuseppe Carlo;Trentadue, Francesco;Greco, Rita
    • Structural Engineering and Mechanics
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    • 제25권1호
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    • pp.21-37
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    • 2007
  • In this study a stochastic approach for linear viscous dampers design adopted for seismic protection of buildings is developed. Devices optimal placement into the main structure and their mechanical parameters are attained by means of a reliability-based optimum design criterion, in which an objective function (O.F.) is minimized, subject to a stochastic constraint. The seismic input is modelled by a non stationary modulated Kanai Tajimi filtered stochastic process. Building is represented by means of a plane shear type frame model. The selected criterion for the optimization searches the minimum of the O.F., here assumed to be the cost of the seismic protection, i.e., assumed proportional to the sum of added dampings of each device. The stochastic constraint limits a suitable approximated measure of the structure failure probability, here associated to the maximum interstorey drift crossing over a given threshold limit, related, according with modern Technical Codes, to the required damage control.