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Optimal supervisory control of a central chilled water plant with heuristic search sequential quadratic programming

ENGINEERING OPTIMIZATION 2010年第9期42卷 863-885页

作者： Sun, Jian Turbine Air Syst Energy Efficiency Dept Houston TX USA

A new methodology for adapting rigorous simulation programs to optimal supervisory control of a central chilled water plant is proposed in this article, which solves plant operation mode optimization and set points optimization by combining heuristic search with sequential quadratic programming. The mathematical basis of this algorithm is developed. A new derivative calculation strategy is introduced in set points optimization. This approach is applied to a central chilled water plant which consists of three chillers, two 3-cell cooling towers, three chilled water pumps and three condenser water pumps. Model verification study is performed. The optimal sequence of operation, set points of the decision variables at given load demand and weather condition are calculated. The plant performance and optimal control results are discussed.

关键词： chilled water plant supervisory control sequential quadratic programming optimization

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Optimal design of a rod shape ultrasonic motor using sequential quadratic programming and finite element method

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FINITE ELEMENTS IN ANALYSIS AND DESIGN 2012年 59卷 11-17页

作者： Zhang, Jian-Tao Zhu, Hua Zhou, Sheng-Qiang Zhao, Chun-Sheng Shanghai Univ Shanghai Key Lab Mfg Automat & Robot Sch Mechatron Engn & Automat Shanghai 200072 Peoples R China Nanjing Univ Aeronaut & Astronaut Precis Driving Lab Nanjing 210016 Peoples R China

Many design requirements need to be considered in designing an ultrasonic motor. To solve the multi-objective optimization problem, sequential quadratic programming and finite element method are applied to the design process. The finite element method is used for modal analysis and harmonic response analysis of the ultrasonic motor. The sequential quadratic programming is employed to determine the optimal design solution. To validate the effectiveness of the proposed method, it is applied to the optimization of a rod shape ultrasonic motor. Design results show that all the requirements of motor design are satisfied and the design indexes related to motor performance show significant improvements after optimization. A prototype motor with 15 mm in diameter is manufactured using the optimization results. The stator vibration characteristics and the motor performance are tested. The results show that this design method is available and effective for the design of ultrasonic motors. (C) 2012 Elsevier BY. All rights reserved.

关键词： Ultrasonic motor Optimization design sequential quadratic programming Finite element method Vibration mode

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A structured reduced sequential quadratic programming and its application to a shape design problem

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COMPUTATIONAL OPTIMIZATION AND APPLICATIONS 1998年第1期11卷 81-100页

作者： Herdman, TL Kang, KH Virginia Polytech Inst & State Univ Interdisciplinary Ctr Appl Math Blacksburg VA 24061 USA

The objective of this work is to solve a model one dimensional duct design problem using a particular optimization method. The design problem is formulated as an equality constrained optimization, called all at once method, so that the analysis problem is not solved until the optimal design is reached. Furthermore, the sparsity structure in the Jacobian of the linearized constraints is exploited by decomposing the variables into the design and flow parts. To achieve this, sequential quadratic programming with BFGS update for the reduced Hessian of the Lagrangian function is used with the variable reduction method which preserves the structure of the Jacobian in representing the null space basis matrix. By updating the reduced Hessians of which the dimension is the number of design variables, the storage requirement for the Hessians is reduced by a large amount. In addition, the flow part of the Jacobian can be computed analytically. The algorithm with a line search globalization is described. A global and local analysis is provided with a modification of the paper by Byrd and Nocedal [Mathematical programming 49(1991) pp 285-323] in which they analyzed a similar algorithm with the orthogonal factorization method which assumes the orthogonality of the null space basis matrix. Numerical results are obtained and compared favorably with results from the black box method, unconstrained optimization formulation.

关键词： Shape Optimization sequential quadratic programming nonlinear programming variable reduction method

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A globally convergent sequential quadratic programming algorithm for mathematical programs with linear complementarity constraints

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COMPUTATIONAL OPTIMIZATION AND APPLICATIONS 1998年第1期10卷 5-34页

作者： Fukushima, M Luo, ZQ Pang, JS Kyoto Univ Grad Sch Engn Dept Appl Math & Phys Kyoto 60601 Japan McMaster Univ Dept Elect & Comp Engn Commun Res Lab Hamilton ON L8S 4K1 Canada Johns Hopkins Univ Whiting Sch Engn Dept Math Sci Baltimore MD 21218 USA

This paper presents a sequential quadratic programming algorithm for computing a stationary point of a mathematical program with linear complementarity constraints. The algorithm is based on a reformulation of the complementarity condition as a system of semismooth equations by means of Fischer-Burmeister functional, combined with a classical penalty function method for solving constrained optimization problems. Global convergence of the algorithm is established under appropriate assumptions. Some preliminary computational results are reported.

关键词： mathematical programs with equilibrium constraints sequential quadratic programming linear complementarity

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Seismic Design of Structures by sequential quadratic programming with Trust Region Strategy and Endurance Time Method

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KSCE JOURNAL OF CIVIL ENGINEERING 2024年第11期28卷 5104-5115页

作者： Feng, Yue Hainan Univ Dept Civil Engn & Architecture Hainan 570228 Peoples R China

The optimal design of structures subjected to seismic loading poses significant challenges due to the presence of high nonlinearity and computational complexity. To address these challenges, this paper presents a novel methodology that combines sequential quadratic programming with Trust-Region strategy (SQP-TR) and Endurance Time Method (ETM). SQP-TR is initially presented as a numerical optimization approach to address optimization problems by linearizing the constraints and approximating the objective function with Taylor expansion, as well as employing the filter method and trust region strategy to ensure convergence and feasibility. A five-story linear frame validates its effectiveness and demonstrates promising outcomes. ETM is successfully implemented as a seismic analysis approach to perform nonlinear time history analyses in order to capture the dynamic input feature of the seismic load and evaluate the nonlinear dynamic behaviors of structures. Its practical application is demonstrated by a nine-story structure with nonlinearity, which shows satisfactory results. Finally, the proposed methodology is applied to optimize a twelve-story three-Dimensional (3D) Reinforced Concrete (RC) nonlinear building under seismic load, and the results demonstrate that the method can accomplish optimal seismic design with high accuracy and efficiency.

关键词： Optimization Seismic sequential quadratic programming Trust region Endurance time analysis

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Structural shape optimization using MSC/NASTRAN and sequential quadratic programming

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COMPUTERS & STRUCTURES 1999年第5期70卷 487-514页

作者： Holzleitner, L Mahmoud, KG Siemens AG PSE A-1100 Vienna Austria AVL List GmbH A-8020 Graz Austria

This work is a continuation of a work done by the authors on sizing optimization where the structure is optimized with respect to the thickness. In this work shape optimization is performed. The implementation is described and a comparison has been made between three different methods for sensitivity analysis calculation. An efficient coupling with an optimization module and the commercial finite element package MSC/NASTRAN using DMAP (direct matrix abstraction program) is made. A sequential quadratic programming algorithm is used for optimization. Differences in the implementation of these sensitivity analysis methods as well as advantages and disadvantages are outlined. In order to give a practical comparison between the three methods and to demonstrate the feasibility of the proposed methodology, the shape optimization of a disk with a hole at the center and a unit injector rocker arm are presented as examples. (C) 1999 Elsevier Science Ltd. All rights reserved.

关键词： finite element structural optimization shape optimization sensitivity analysis adjoint method for sensitivity analysis sequential quadratic programming

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Optimal design of heating system in rapid thermal cycling blow mold by a two-step method based on sequential quadratic programming

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INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER 2018年 96卷 114-121页

作者： Xiao, Cheng-Long Huang, Han-Xiong Univ South China Dept Mech Engn Hengyang 421001 Peoples R China South China Univ Technol Lab Micro Molding & Polymer Rheol Guangzhou 510640 Guangdong Peoples R China

The blow molded parts made of engineering resins usually possess poor surface quality, and thus cannot satisfy the requirement of high-gloss appearance in some applications. For this reason, a rapid thermal cycling extrusion blow molding (RTCEBM) technology was developed, the process principle was presented and its process procedure optimization was also analyzed. Aiming at obtaining uniform temperature distribution on both mold cavity and core surfaces, a two-step optimization method based on sequential quadratic programming (SQP) algorithm was proposed for designing the heating system in RTCEBM mold, and its effectiveness was demonstrated by optimizing the electric-heating system for the RTCEBM mold of an automotive spoiler. After optimization, the maximum core surface temperature difference is reduced by 77% from the initial value of 22.06 degrees C to the optimal value of 5.05 degrees C;meanwhile, the molding process coordination can also be ensured. This work may provide an effective method to optimize the heating system for these molds with cavity and core sides to be heated simultaneously.

关键词： Rapid thermal cycling molding sequential quadratic programming Extrusion blow molding Automotive spoiler Optimal design

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Application of sequential quadratic programming based on active set method in cleaner production

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CLEAN TECHNOLOGIES AND ENVIRONMENTAL POLICY 2022年第1期24卷 413-422页

作者： Xia, Li Ling, Jianyang Xu, Zhen Bi, Rongshan Zhao, Wenying Xiang, Shuguang Qingdao Univ Sci & Technol Coll Chem Engn State Key Lab Base Ecochem Engn Zhengzhou Rd 53 Qingdao 266042 Peoples R China Qilu Normal Univ Chem & Chem Engn Fac Jinan 250013 Shandong Peoples R China

On the platform of general chemical process simulation software (it was named Optimization Engineer, OPEN), a general optimization algorithm for chemical process simulation is developed using C + + code. The algorithm is based on sequential quadratic programming (SQP). We adopt the activity set algorithm and the rotation axis algorithm to generate the activity set to solve the quadratic programming sub-problem. The active set method can simplify the number of constraints and speed up the calculation. At the same time, we used limited memory BFGS algorithm (L-BFGS) to simplify the solution of second derivative matrix. The special matrix storage mode of L-BFGS algorithm can save the storage space and speed up the computing efficiency. We use exact penalty function and traditional step-size rule in the algorithm. These two methods can ensure the convergence of the algorithm, a more correct search direction and suitable search step. The example shows that the advanced optimization function can meet the requirements of General Chemical Process Calculation. The number of iterations can reduce by about 6.0%. The computation time can reduce by about 6.5%. We combined this algorithm with chemical simulation technology to develop the optimization function of chemical engineering simulation. This optimization function can play an important role in the process optimization calculation aiming at energy saving and green production.

关键词： sequential quadratic programming Active set method Chemical process simulation Chemical optimization Green production

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NACA four-digit airfoil series optimization: a comparison between genetic algorithm and sequential quadratic programming

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JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY 2023年第5期37卷 2375-2382页

作者： Korpe, Durmus Sinan Guzelbey, Ibrahim Halil Hasan Kalyoncu Univ Dept Aerosp Engn TR-27010 Gaziantep Turkiye

In this study, the results of genetic algorithm and sequential quadratic programming are discussed for NACA four-digit airfoil series optimization. The lift-to-drag ratio is defined as the objective function. The aerodynamic constraints related to the lift, drag, moment values of the airfoil at high and low angle of attack, and the geometric constraints related to the wetted length and internal volume are set. Results show that the sequential use of the former and latter methods and the stand-alone use of the latter method yield an increment of approximately 20 % in the objective function. The change in the geometric design variables reveals that the optimum airfoils are obtained by the variation in the maximum camber and thickness. sequential quadratic programming is proven to converge to the global optimum in a significantly shorter solution time than genetic algorithm when the practical constraints are defined into the optimization problems.

关键词： Aerodynamic optimization Genetic algorithm NACA four-digit airfoils sequential quadratic programming Xfoil

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Conicity error evaluation using sequential quadratic programming algorithm

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PRECISION ENGINEERING-JOURNAL OF THE INTERNATIONAL SOCIETIES FOR PRECISION ENGINEERING AND NANOTECHNOLOGY 2014年第2期38卷 330-336页

作者： He, Gaiyun Liu, Peipei Guo, Longzhen Wang, Kai Tianjin Univ Sch Mech Engn Minist Educ Key Lab Mech Theory & Equipment Design Tianjin 300072 Peoples R China

Form error evaluation plays an important role in processing quality evaluation. Conicity error is evaluated as a typical example in this paper based on sequential quadratic programming (SQP) algorithm. The evaluation is carried out in three stages. Signed distance function from the measured points to conical surface is defined and the cone is located roughly by the method of traditional least-squares (LS) firstly;the fitted cone and the measured point coordinates are transformed to simplify the optimal mathematical model of conicity error evaluation secondly;and then optimization problem on conicity error evaluation satisfying the minimum zone criterion is solved by means of SQP algorithm and kinematic geometry, where approximate linear differential movement model of signed distance function is deduced in order to reduce the computational complexity. Experimental results show that the conicity error evaluation algorithm is more accurate, and has good robustness and high efficiency. The obtained conicity error is effective. (C) 2013 Elsevier Inc. All rights reserved.

关键词： Conicity error Signed distance function Minimum zone criterion sequential quadratic programming

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