约束优化

Aiming at the characteristic of this problem, this paper proposes an optimization strategy called ＂the active restriction relaxation approach＂ which can classify the contingency set into two subsets.

针对该优化问题的特点，提出了一种＂积极约束松弛法＂的优化策略，它能将预想事故集分解成使控制总成本最小的2个子集，并分别由预防控制和紧急控制保证其中事故的安全性。

To overcome the shortcomings of existing algorithms, the distributed parallel reactive power optimization algorithm based on sub-area division of the power systems is proposed according to the distributed and decentralized charac

针对目前无功电压优化算法存在的不足，根据电力系统分布、分散的特点，提出了基于电网分区的分布式并行无功优化算法，并对其进行了多目标、软约束的模糊化处理和离散控制变量的罚函数处理，利用直接非线性原—对偶内点法寻优求解。

To overcome the shortcomings of existing algorithms, the distributed parallel reactive power optimization algorithm based on sub-area division of the power systems is proposed according to the distributed and decentralized characteristics of the power system. Here, multi-objective function and soft constraints are modeled using fuzzy sets, and the multi-objective reactive power optimization problem is solved by the direct nonlinear primal-dual interior point algorithm.

针对目前无功电压优化算法存在的不足，根据电力系统分布、分散的特点，提出了基于电网分区的分布式并行无功优化算法，并对其进行了多目标、软约束的模糊化处理和离散控制变量的罚函数处理，利用直接非线性原—对偶内点法寻优求解。

Experiment results and relative data supports that lowpass filter designed by such method can reach the optimization objectives under various constraints. This method could be applied to analogous engineering optimization problems.

实验结果和相关数据表明所设计的低通滤波器达到了带约束条件的多目标优化目的，且该方法也可用于类似的工程优化设计。

In allusion to the characteristics that Luannan County is a county which majors in agriculture and its area is small and its water resources allocation is relatively easy and the contradiction of water resources allocation among industries is severe and so on, based on the predicted water supply and demand for Luannan County, water resources multi-objective optimal allocation model is founded. The model are made up of primary object which is that the district economical benefit is most and by-end which is that the district social benefit is most and restricts which contain water supply capability and water transportation capability and water demand capability and so on.

更多分配矛盾较为突出等特点，在滦南县供需水预测成果的基础上，建立了以区域经济效益最大为主要目标、区域社会效益最大为次要目标、以区域供水能力、输水能力、需水能力等因素为约束条件的水资源多目标优化配置模型，根据Excel和Matlab的特点，把Excel作为数据输入端，调用Matlab中的linprog工具函数求解该模型，得到了滦南县水资源优化配置成果。

Second, On the basis of analysis of density distribution of sequence points on the chaotic orbit of one-dimension chaotic mapping, a mutative interval chaotic optimization algorithm is presented in search for the solution optimums of the non-linear constrained problems with multi-variables and multi-peak values. With the objective function probability measurement approaching a limit 1, the convergence of the algorithm on the global optimal solution is proofed by aid of Chebyshev inequality.

二、基于一维混沌映射混沌点集的概率测度分析，提出了一种适于解决多变量多峰值非线性约束问题的新的混沌优化算法——变区间混沌优化算法，并应用切比雪夫不等式论证了算法依概率收敛于全局最优解。

The parameters of GHM model are determined by nonlinear curve fitting in complex frequency domain. This is converted into nonlinear optimization problem with constrained condition. The corresponding program is completed.

GHM模型的参数通过复频域内的非线性曲线拟合确定，最终转化为具有约束条件的非线性优化问题，并编制了相应的非线性优化程序。

Based on analyzing the problems,we propose an evolutionary algorithm by using niches technology and multi-parent-crossover technology to experiment on complex multimodal function optimization with samples.

在分析了简单遗传算法求解带约束的多峰值函数优化中存在的问题的基础上，提出了利用小生境技术和多父体杂交的演化算法，对复杂的多峰值函数优化问题进行了测试，证实该算法能够快速求出多峰函数的所有全局最优解，而且搜索效率高，达到了令人满意的效果。

This is the optimization method in a way, is a condition for constrained optimization.

详细说明：这个是优化方法中的一种方法，，是一种用于带约束条件的优化。

This optimization method is a method, called the penalty function method, is a condition for constrained optimization.

详细说明：这个是优化方法中的一种方法，叫做罚函数法，是一种用于带约束条件的优化。

The concept of equivalent rotationally rigidity is offered and the formula of rotationally rigidity is obtained.

主要做了如下几个方面的工作：对伸臂位于顶部的单层框架—筒体模型进行分析，提出了等效转动约束的概念和转动约束刚度的表达式。

Male cats normally do not need aftercare with the exception of the night after the anesthetic.

男猫通常不需要善后除了晚上的麻醉。