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Dynamic economic dispatch combining network flow and interior point method 认领 引用 被引量：1
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作者 韩学山 赵建国 柳焯 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2003年第4期461-466,共6页
Under the environment of electric power market, economic dispatch (ED) problem should consider network constraints, unit ramp rates, besides the basic constraints. For this problem, it is important to establish the ef... Under the environment of electric power market, economic dispatch (ED) problem should consider network constraints, unit ramp rates, besides the basic constraints. For this problem, it is important to establish the effective model and algorithm. This paper examines the decoupled conditions that affect the solution optimality to this problem. It proposes an effective model and solution method. Based on the look-ahead technique, it finds the number of time intervals to guarantee the solution optimality. Next, an efficient technique for finding the optimal solution via the interior point methods is described. Test cases, which include dispatching six units over 5 time intervals on the IEEE 30 test system with line flows and ramp constraints are presented. Results indicate that the computational effort as measured by iteration counts or execution time varies only modestly with the problem size. 展开更多
关键词 Economic dispatch optimization network constraints ramp constraints interior point method
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Low-order Wavefront Error Compensation for Multi-field of Lithography Projection Objective Based on Interior Point Method 认领 引用
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作者 LU Yutong ZHOU Ji +4 位作者 KANG Xia ZHU Xianchang LIU Junbo WANG Jian HU Song 《Instrumentation》 2022年第3期43-50,共8页
Low-order wavefront error account for a large proportion of wave aberrations.A compensation method for low order aberration of projection lithography objective based on Interior Point Method is presented.Compensation ... Low-order wavefront error account for a large proportion of wave aberrations.A compensation method for low order aberration of projection lithography objective based on Interior Point Method is presented.Compensation model between wavefront error and degree of movable lens freedom is established.Converting over-determined system to underdetermined system,the compensation is solved by Interior Point Method(IPM).The presented method is compared with direct solve the over-determined system.Then,other algorithm GA,EA and PS is compared with IPM.Simulation and experimental results show that the presented compensation method can obtained compensation with less residuals compared with direct solve the over-determined system.Also,the presented compensation method can reduce computation time and obtain results with less residuals compare with AGA,EA and PS.Moreover,after compensation,RMS of wavefront error of the experimental lithography projection objective decrease from 56.05 nm to 17.88 nm. 展开更多
关键词 Wavefront Error Compensation Lithography Projection Objective Interior Point Method Computer Aided Alignment
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A Combined Homotopy Interior Point Method for Nonconvex Programming with Pseudo Cone Condition 认领 引用 被引量：15
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作者 于波 刘庆怀 +1 位作者 冯果忱 孙以丰 《Northeastern Mathematical Journal》 2000年第4期383-386,共4页
关键词 nonconvex programming interior point method homotopy method
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Globally Convergent Interior Point Methods for Variational Inequalities in Unbounded Sets 认领 引用
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作者 徐庆 于波 +1 位作者 冯果忱 李荣华 《Northeastern Mathematical Journal》 2002年第1期9-12,共4页
The finite-dimensional variational inequality problem (VIP) has been studied extensively in the literature because of its successful applications in many fields such as economics, transportation, regional science and ... The finite-dimensional variational inequality problem (VIP) has been studied extensively in the literature because of its successful applications in many fields such as economics, transportation, regional science and operations research. Barker and Pang[1] have given an excellent survey of theories, methods and applications of VIPs. 展开更多
关键词 variational inequality homotopy method interior point method
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A Combined Homotopy Infeasible Interior-Point Method for Convex Nonlinear Programming 认领 引用 被引量：3
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作者 杨轶华 吕显瑞 刘庆怀 《Northeastern Mathematical Journal》 2006年第2期188-192,共5页
In this paper, on the basis of the logarithmic barrier function and KKT conditions, we propose a combined homotopy infeasible interior-point method （CHIIP） for convex nonlinear programming problems. For any convex n... In this paper, on the basis of the logarithmic barrier function and KKT conditions, we propose a combined homotopy infeasible interior-point method （CHIIP） for convex nonlinear programming problems. For any convex nonlinear programming, without strict convexity for the logarithmic barrier function, we get different solutions of the convex programming in different cases by CHIIP method. 展开更多
关键词 convex nonlinear programming infeasible interior point method homotopy method global convergence
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A New Infeasible Interior-point Method for Linear Complementarity Problem Based on Full Newton Step 认领 引用 被引量：1
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作者 龚小玉 胡振鹏 王先甲 《Chinese Quarterly Journal of Mathematics》 CSCD 2012年第4期624-632,共9页
This paper proposes an infeasible interior-point algorithm with full-Newton step for linear complementarity problem,which is an extension of Roos about linear optimization. The main iteration of the algorithm consists... This paper proposes an infeasible interior-point algorithm with full-Newton step for linear complementarity problem,which is an extension of Roos about linear optimization. The main iteration of the algorithm consists of a feasibility step and several centrality steps. At last,we prove that the algorithm has O(nlog n/ε) polynomial complexity,which coincides with the best known one for the infeasible interior-point algorithm at present. 展开更多
关键词 complementarity problem infeasible interior-point methods full-Newton step polynomial complexity
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Element-free Galerkin method for free vibration of rectangular plates with interior elastic point supports and elastically restrained edges 认领 引用 被引量：1
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作者 王砚 王忠民 阮苗 《Journal of Shanghai University(English Edition)》 2010年第3期187-195,共9页
The element-free Galerkin method is proposed to solve free vibration of rectangular plates with finite interior elastic point supports and elastically restrained edges.Based on the extended Hamilton＇s principle for t... The element-free Galerkin method is proposed to solve free vibration of rectangular plates with finite interior elastic point supports and elastically restrained edges.Based on the extended Hamilton＇s principle for the elastic dynamics system,the dimensionless equations of motion of rectangular plates with finite interior elastic point supports and the edge elastically restrained are established using the element-free Galerkin method.Through numerical calculation,curves of the natural frequency of thin plates with three edges simply supported and one edge elastically restrained,and three edges clamped and the other edge elastically restrained versus the spring constant,locations of elastic point support and the elastic stiffness of edge elastically restrained are obtained.Effects of elastic point supports and edge elastically restrained on the free vibration characteristics of the thin plates are analyzed. 展开更多
关键词 element free method rectangular thin plates interior elastic point supports elastically restrained edges free vibration
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A PRIMAL-DUAL INTERIOR POINT METHOD FOR PARAMETRIC SEMIDEFINITE PROGRAMMING PROBLEMS 认领 引用
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作者 王哲民 周昆平 黄正海 《Acta Mathematicae Applicatae Sinica》 2000年第2期171-179,共9页
On the basis of primal-dual approach, we present in this paper an interior point method that gives parametric E-approximate solutions to parametric semi-definite programming problems. The method is finite, and the num... On the basis of primal-dual approach, we present in this paper an interior point method that gives parametric E-approximate solutions to parametric semi-definite programming problems. The method is finite, and the number of its iterations is quasi-polynomially bounded. 展开更多
关键词 Interior-point method semidefinite programming problem ε-approximate solution
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Kernel Function-Based Primal-Dual Interior-Point Methods for Symmetric Cones Optimization 认领 引用
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作者 ZHAO Dequan ZHANG Mingwang 《Wuhan University Journal of Natural Sciences》 CAS 2014年第6期461-468,共8页
In this paper, we present a large-update primal-dual interior-point method for symmetric cone optimization（SCO） based on a new kernel function, which determines both search directions and the proximity measure betwe... In this paper, we present a large-update primal-dual interior-point method for symmetric cone optimization（SCO） based on a new kernel function, which determines both search directions and the proximity measure between the iterate and the center path. The kernel function is neither a self-regular function nor the usual logarithmic kernel function. Besides, by using Euclidean Jordan algebraic techniques, we achieve the favorable iteration complexity O（ √r（1/2）（log r）^2 log（r/ ε））, which is as good as the convex quadratic semi-definite optimization analogue. 展开更多
关键词 symmetric cones optimization Kernel function Interior-point method polynomial complexity
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Solving Fixed Point Problems in More General Nonconvex Sets Via an Interior Point Homotopy Method 认领 引用
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作者 SU Meng-long LIU Mai-xue 《Chinese Quarterly Journal of Mathematics》 CSCD 2012年第1期74-78,共5页
In this paper,we are mainly devoted to solving fixed point problems in more general nonconvex sets via an interior point homotopy method.Under suitable conditions,a constructive proof is given to prove the existence o... In this paper,we are mainly devoted to solving fixed point problems in more general nonconvex sets via an interior point homotopy method.Under suitable conditions,a constructive proof is given to prove the existence of fixed points,which can lead to an implementable globally convergent algorithm. 展开更多
关键词 nonconvex sets interior point homotopy method
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Power Generation Expansion Planning Using an Interior Point with Cutting Plane (IP/CP) Method 认领 引用
11
作者 Moon, Guk-Hyun Seo, In-Yong Jaehee, Lee 《Journal of Mechanics Engineering and Automation》 2015年第11期640-645,共6页
The generation expansion planning is one of complex mixed-integer optimization problems, which involves a large number of continuous or discrete decision variables and constraints. In this paper, an interior point wit... The generation expansion planning is one of complex mixed-integer optimization problems, which involves a large number of continuous or discrete decision variables and constraints. In this paper, an interior point with cutting plane （IP/CP） method is proposed to solve the mixed-integer optimization problem of the electrical power generation expansion planning. The IP/CP method could improve the overall efficiency of the solution and reduce the computational time. Proposed method is combined with the Bender＇s decomposition technique in order to decompose the generation expansion problem into a master investment problem and a slave operational problem. The numerical example is presented to compare with the effectiveness of the proposed algorithm. 展开更多
关键词 Benders＇ decomposition technique power generation expansion planning interior point with cutting plane method mixed integer programming.
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Penalized interior point approach for constrained nonlinear programming 认领 引用 被引量：1
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作者 陆文婷 姚奕荣 张连生 《Journal of Shanghai University(English Edition)》 2009年第3期248-254,共7页
A penalized interior point approach for constrained nonlinear programming is examined in this work. To overcome the difficulty of initialization for the interior point method, a problem equivalent to the primal proble... A penalized interior point approach for constrained nonlinear programming is examined in this work. To overcome the difficulty of initialization for the interior point method, a problem equivalent to the primal problem via incorporating an auxiliary variable is constructed. A combined approach of logarithm barrier and quadratic penalty function is proposed to solve the problem. Based on Newton＇s method, the global convergence of interior point and line search algorithm is proven. Only a finite number of iterations is required to reach an approximate optimal solution. Numerical tests are given to show the effectiveness of the method. 展开更多
关键词 nonlinear programming interior point method barrier penalty function global convergence
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A Continuation Method for Solving Fixed Point Problems in Unbounded Convex Sets 认领 引用
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作者 Su MENG-LONG LU XIAN-RUI MA YONG 《Communications in Mathematical Research》 2009年第2期137-142,共6页
In this paper, an unbounded condition is presented, under which we are able to utilize the interior point homotopy method to solve the Brouwer fixed point problem on unbounded sets. Two numerical examples in R3 are pr... In this paper, an unbounded condition is presented, under which we are able to utilize the interior point homotopy method to solve the Brouwer fixed point problem on unbounded sets. Two numerical examples in R3 are presented to illustrate the results in this paper. 展开更多
关键词 unbounded condition interior point homotopy method Brouwer fixed point problem
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A New Interior Path Following Method for Nonconvex Nonlinear Programming 认领 引用
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作者 Huang Chunyi Yu Bo +1 位作者 Wang Yu Feng Guochen 《Northeastern Mathematical Journal》 1997年第3期257-260,共4页
Consider the following nonlinear programming problem:min f(x),s.t.gi(x)≤0,i=1,2,…,m(1)where f,gi’s are sufficiently smooth functions in Rn.
关键词 Nonconvex Programming Homotopy Method Interior Point Method
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Interior-Point Algorithm for Linear Optimization Based on a New Kernel Function 认领 引用 被引量：2
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作者 CHEN Donghai ZHANG Mingwang LI Weihua 《Wuhan University Journal of Natural Sciences》 CAS 2012年第1期12-18,共7页
In this paper, we design a primal-dual interior-point algorithm for linear optimization. Search directions and proximity function are proposed based on a new kernel function which includes neither growth term nor barr... In this paper, we design a primal-dual interior-point algorithm for linear optimization. Search directions and proximity function are proposed based on a new kernel function which includes neither growth term nor barrier term. Iteration bounds both for large-and small-update methods are derived, namely, O（nlog（n/c）） and O（√nlog（n/ε））. This new kernel function has simple algebraic expression and the proximity function has not been used before. Analogous to the classical logarithmic kernel function, our complexity analysis is easier than the other pri- mal-dual interior-point methods based on logarithmic barrier functions and recent kernel functions. 展开更多
关键词 linear optimization interior-point algorithms pri- mal-dual methods kernel function polynomial complexity
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A CORRECTOR-PREDICTOR ARC SEARCH INTERIOR-POINT ALGORITHM FOR SYMMETRIC OPTIMIZATION 认领 引用
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作者 M.PIRHAJI M.ZANGIABADI H.MANSOURI 《Acta Mathematica Scientia》 SCIE CSCD 2018年第4期1269-1284,共16页
In this paper, a corrector-predictor interior-point algorithm is proposed for sym- metric optimization. The algorithm approximates the central path by an ellipse, follows the ellipsoidal approximation of the central-p... In this paper, a corrector-predictor interior-point algorithm is proposed for sym- metric optimization. The algorithm approximates the central path by an ellipse, follows the ellipsoidal approximation of the central-path step by step and generates a sequence of iter- ates in a wide neighborhood of the central-path. Using the machinery of Euclidean Jordan algebra and the commutative class of search directions, the convergence analysis of the algo- rithm is shown and it is proved that the algorithm has the complexity bound O （√τL） for the well-known Nesterov-Todd search direction and O （τL） for the xs and sx search directions. 展开更多
关键词 symmetric optimization ellipsoidal approximation wide neighborhood interior-point methods polynomial complexity
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A novel PID controller tuning method based on optimization technique 认领 引用 被引量：6
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作者 梁昔明 李山春 HASSAN A B 《Journal of Central South University》 SCIE EI CAS 2010年第5期1036-1042,共7页
An approach for parameter estimation of proportional-integral-derivative(PID) control system using a new nonlinear programming(NLP) algorithm was proposed.SQP/IIPM algorithm is a sequential quadratic programming(SQP) ... An approach for parameter estimation of proportional-integral-derivative(PID) control system using a new nonlinear programming(NLP) algorithm was proposed.SQP/IIPM algorithm is a sequential quadratic programming(SQP) based algorithm that derives its search directions by solving quadratic programming(QP) subproblems via an infeasible interior point method(IIPM) and evaluates step length adaptively via a simple line search and/or a quadratic search algorithm depending on the termination of the IIPM solver.The task of tuning PI/PID parameters for the first-and second-order systems was modeled as constrained NLP problem. SQP/IIPM algorithm was applied to determining the optimum parameters for the PI/PID control systems.To assess the performance of the proposed method,a Matlab simulation of PID controller tuning was conducted to compare the proposed SQP/IIPM algorithm with the gain and phase margin(GPM) method and Ziegler-Nichols(ZN) method.The results reveal that,for both step and impulse response tests,the PI/PID controller using SQP/IIPM optimization algorithm consistently reduce rise time,settling-time and remarkably lower overshoot compared to GPM and ZN methods,and the proposed method improves the robustness and effectiveness of numerical optimization of PID control systems. 展开更多
关键词 PID controller optimization infeasible interior point method sequential quadratic programming simulation
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基于核函数求解一般Fisher市场均衡问题的全牛顿步可行内点算法 认领 引用
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作者 迟晓妮 杨玉萍 +1 位作者 刘三阳 杨绮丽 《运筹学学报（中英文）》 CSCD 北大核心 2026年第2期98-113,共16页
给出全牛顿步可行内点算法(interior-point method,IPM)求解一般Fisher市场均衡问题的线性权互补问题(weighted linear complementarity problem,WLCP)模型。作为互补问题(complementarity problem,CP)的非平凡推广,权互补问题(weight c... 给出全牛顿步可行内点算法(interior-point method,IPM)求解一般Fisher市场均衡问题的线性权互补问题(weighted linear complementarity problem,WLCP)模型。作为互补问题(complementarity problem,CP)的非平凡推广,权互补问题(weight complementarity problem,WCP)可以建模经济、科学和工程等领域中更广泛的一大类均衡问题。然而,WCP中存在非负权向量,使得WCP的理论和算法比CP更复杂。本文推广CP的IPM来求解WCP。基于一个核函数,得到定义中心路径的等价方程组,运用牛顿法求解该方程组得新搜索方向,从而提出求解一般Fisher市场均衡问题的全牛顿步可行IPM。算法采用全牛顿步,因而无需计算步长。在适当的假设下,证明算法全局收敛且具有多项式复杂度。最后数值算例验证了算法的有效性。 展开更多
关键词 一般Fisher市场均衡问题 线性权互补问题 内点算法 全牛顿步 核函数 多项式复杂度
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光伏跟踪用开关磁阻电机动态步进驱动策略研究 认领 引用
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作者 胡艳芳 刘长城 李方正 《电力系统及其自动化学报》 CSCD 北大核心 2026年第8期14-25,共12页
针对传统时控光伏跟踪系统因依赖减速机构导致效率损失、综合发电效益偏低的问题,提出一种基于开关磁阻电机直接驱动的动态步进光伏跟踪策略。首先,通过对12/10极开关磁阻电机的电磁特性进行分析,验证其高起动转矩等特性满足直接驱动需... 针对传统时控光伏跟踪系统因依赖减速机构导致效率损失、综合发电效益偏低的问题,提出一种基于开关磁阻电机直接驱动的动态步进光伏跟踪策略。首先,通过对12/10极开关磁阻电机的电磁特性进行分析,验证其高起动转矩等特性满足直接驱动需求;进而,采用高精度各向异性辐照接收模型,以系统综合收益(发电收益与跟踪能耗之差)最大化为目标,利用内点法对跟踪系统的步进角与时间间隔参数进行动态优化,提出变步长动态跟踪策略;最后建立了基于开关磁阻电机的位置-转速-电流闭环控制的光伏跟踪系统模型。仿真与实验结果表明,所提出方法在保证跟踪精度的同时,有效降低了动作频次,全天电能收益较固定式安装提升15.5%,系统综合收益较传统时控跟踪策略提升最高达50.1%。 展开更多
关键词 光伏跟踪 开关磁阻电机 动态跟踪 内点法 综合收益
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异区均匀磁场线圈结构的优化设计 认领 引用
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作者 刘旭菲 伏吉庆 +1 位作者 彭丽莎 黄松岭 《电工技术学报》 EI CSCD 北大核心 2026年第6期1817-1827,共11页
针对海洋磁力仪现场校准中高均匀磁场装置体积庞大、仪器串扰严重等问题,该文采用异区高阶均匀磁场线圈结构,提出一种基于混合整数规划与内点法的协同优化策略。该系统通过多线圈对称布局与参数优化设计,在满足装置尺寸和异区间距等约... 针对海洋磁力仪现场校准中高均匀磁场装置体积庞大、仪器串扰严重等问题,该文采用异区高阶均匀磁场线圈结构,提出一种基于混合整数规划与内点法的协同优化策略。该系统通过多线圈对称布局与参数优化设计,在满足装置尺寸和异区间距等约束条件的同时,实现两个独立的高均匀磁场区域。为提升磁场均匀性,该文基于磁场的泰勒展开构建目标函数,建立非线性规划模型,采用混合整数规划与内点法协同优化策略,实现了线圈位置系数与匝数的多参数耦合优化。所设计的七段异区线圈系统在长度0.2R区间内的磁场均匀度理论计算值达到10-6量级,实测线圈装置在6 cm均匀区内的磁场均匀度小于1×10-5,验证了优化设计的有效性。相较于传统的单区均匀线圈,该设计通过调整异区间距,有效地降低了仪器间串扰,突破了传统单区均匀线圈尺寸对均匀区域长度的限制,为磁力仪现场校准提供了小型化解决方案,并具有良好的通用性。 展开更多
关键词 异区均匀磁场 多线圈系统 混合整数规划 内点法
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