内点

使用Matlab软件，利用内点算法，得出各个指标在一段时期的权数。

Using the Matlab software , the use of interior point algorithm , the weighting of each indicator over a long time is given .

结果表明：基于本文提出的FACTS模型和控制参数下，采用路径跟踪内点方法求解含有FACTS的电力系统潮流优化控制问题，具有较好的性能。

It shows a good performance to solve the optimal power flow problem with FACTS control by non-linear interior point method under the model and parameters present in the thesis .

N指标d维广义Wiener过程象集内点存在性

The Existence of Interior Points of Image Set of N Parameter d Dimension Generalized Wiener Process

组合同伦内点法（CombinedHomotopyInteriorPointMethod，简记为CHI方法）不但可以求解凸规划问题，而且对满足一定条件的非凸规划问题也具有大范围的收敛性。

Combined homotopy interior point method is used to solve not only the convex problem , but also the non-convex problem which satisfies some conditions .

研究任意二维平面多连接区域内点生成及AFM三角化算法。

Algorithms of interior nodal generation and AFM triangulation in 2-DIM multi-connected regions are studied .

一个基于QR分解的并行原-对偶内点算法

A Parallel Primal-Dual Interior Point Algorithm Based on the QR Decomposition

以基本额定动载荷Cr作为初期优化的目标函数，选取4个设计变量，分别采用复合形法、内点罚函数法和外点罚函数法对牙轮钻头圆柱滚子轴承进行了优化设计。

By taking the maximum normal dynamic load as the objective function , the rock bit roller bearing is optimized with four variables .

基于图的任意域内点集的Delaunay三角剖分算法

A graph based algorithm for generating the Delaunay triangulation of a point set within an arbitrary 2D domain

一种基于Karmarkar内点法的最优潮流算法

A New OPF Algorithm Based on Karmarkar ' Interior Point Method

设C是实Banach空间X中有界闭凸子集且0是C的内点，G是X中非空闭的有界相对弱紧子集。

Let C be a closed bounded convex subset of a real Banach space X with 0 being an interior point of C. Let G be a nonempty closed , boundedly relatively weakly compact subset of X.

最后提出了一种基于QR分解的并行内点算法，并给出了实验结果。

In conclusion , it proposes a parallel primal-dual interior point algorithm based on the QR decomposition and lists some test results .

当取NT方向时，我们首次得到了对称锥上具有和窄邻域相同复杂性的宽邻域内点算法。

When the NT search direction is used , we get the first wide neighborhood interior-point algorithm with the same complexity as small neighborhood IPMs over symmetric cones .

运用内点法和改进的POWELL方法对有约束条件下双Y结的几何参数进行优化；

Geometry parameters of dual Y junction subjected to stated situations were optimized using inner point solutions method integrated by improved POWELL means .

提出内点罚函数法调用Powell法求优时存在的问题，通过分析Powell法后，做出相应的改进。

Problems concerning internal penalty functions solving minimum values by Powell are pointed out . Modification is made by analysing the method of Powell .

提供非单调内点回代技术的信赖域投影Hessian算法解线性约束优化问题。

We propose a new trust region projected Hessian algorithm with nonmonotonic backtracking interior point technique for linear constrained optimization .

最后，建立了计及UPFC的暂态稳定约束最优潮流的模型，并用内点法进行求解。

Lastly , the model of Transient Stability Constrained OPF ( TSCOPF ) with UPFC is established , and also solved by interior point method .

基于扰动KKT条件的原始-对偶内点法和分支定界法的最优潮流研究

Study on optimal power flow based on primal-dual interior point algorithm under perturbed KKT conditions and branch-and-bound method

对于给定的正整数d，Ad（D）表示网络D中任何距离至少为2的两顶点之间内点不交且长度都不超过d的路的最大条数；

For a given positive integer d , the symbol Ad ( D ) denotes the maximum number of internally disjoint paths of length at most d between any two vertices with distance at least two in the network D ;

对一系列IEEE标准测试系统的数值仿真结果表明，现代内点算法以其收敛性好、鲁棒性强等特点，在求解电力系统优化问题方面有着非常广阔的发展前景。

The simulation results obtained from a series of IEEE standard test systems showed that the algorithm proposed is robust and in good convergence so that it will have a bright future in addressing power system optimization problems .

建立了常规OPF的数学模型，并采用基于扰动KKT条件的原始&对偶内点算法（P-KKT-PDIP）对其进行解算；

Establishing the formulation of conventional OPF problem , and applying a perturbed-KKT-conditions-based primal-dual interior point algorithm ( P-KKT-PDIP ) to solve it .

文中运用改进牛顿法和内点罚函数法相结合进行最优潮流计算，取得相应的单点ATC值；

This paper proposes a methodology of the calculating of available transfer capability ( ATC ), in which Advanced Newton approach and SUMT interior point method are cooperated to calculate optimal power flow for single point ATC .

文章利用内点方法理论中斜对称问题的结果，给出了Farkas引理，Gale定理，Gorden定理的新证明。

By using the result of skew-symmetric problem in interior point methods theory , the new proofs of the theorems of Farkas , Gale and Gordan were obtained .

论文第二章的目的是引入序列线性方程组（SSLE）方法求解问题Pμ，并给出基于SSLE的整个内点方法的框架及其相应的收敛性。

Chapter 2 in this paper introduces the sequential systems of linear equations ( SSLE ) method to solve P_ μ and gives the whole scheme of the IP method and the corresponding convergence .

利用有约束的内点罚函数Powell算法对多环反馈带通滤波器进行了计算机辅助优化设计，并通过实验验证了设计结果的实用性。

T This paper dealt with the problem about the optimum design for multi-loop feedback band-pass filter by the use of the constrained interior penalty function-Powell optimum method , and made an experiment which shows that the optimum result is available .

上层无网络约束的机组组合模型的求解运用Benders分解法将整数变量和连续变量分开求解，下层模型用原对偶内点法求解。

The integer variables and continuous variables of upper-layer unit commitment without network security constrains were solved by Benders decomposition method . The sub-layer model was solved by interior point method .

引入非线性互补函数，将内点法中KKT条件的互补松弛条件约束转化为等式约束，并采用牛顿方法求解。

By leading in the nonlinear complementarity function , the constraints of complementarity relaxation conditions in KKT equation of interior point method are changed into equality constraints and can be solved by Newton method .

提出一种结合L1范数模型和内点理论的潮流计算方法，利用基于扰动KKT条件的原始-对偶内点算法进行一般潮流问题求解。

Based on L1 norm model and interior point , a novel power flow algorithm is presented in this paper . Using the perturbed KKT conditions , an interior point algorithm is proposed to solve the general power flow problems .

通过引入Fletcher罚函数作为势函数，将由两个子问题结合信赖域策略构成的合成方向，并使用非单调线搜索技术回代于可接受的非负约束内点步长。

By adopting the Fletcher 's penalty function as the merit function , combining trust region strategy and nonmonotone line search technique will switch to backtracking interior point direction composed by the two subproblems to obtain an acceptable interior point step .

框式线性规划的多项式预估校正内点算法

A polynomial predictor-corrector interior-point algorithm for linear programming with box constraints

均匀带电圆环内点电荷的非线性振荡

Non-linear oscillation of a charged particle in a uniformly charged circle