非线性优化

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。

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。

It is difficult for a variety of traditionary methods based grads information to solve the constrained optimization problem with non-differential coefficient,multi-modal,nonconve and non-linear functions.

在现实生活中许多实际问题都可以转化为约束优化问题，并且实际问题通常都很复杂，其函数形态各具特色，传统基于梯度信息的各种求解策略对于具有不可微、多峰及非凸的非线性函数约束优化问题很难凑效。

Because of the random of the membership function, which aggregator to be selected and the non-linearity of system, the fuzzy decision goal function is non-convex commonly.

由于隶属度函数定义的任意性、合成算子选择的不同和控制对象的非线性，模糊决策目标函数的优化一般是非凸优化问题。

A deterministic global optimization algorithm based on Lagrangian dual is proposed for solving the nonconvex quadratic programming with nonconvex quadratic constraints, which is often encountered in technical design and operational research.

针对带有非凸二次函数约束的非凸二次规划问题，提出了一个基于拉格朗日对偶的确定型全局优化算法，这类优化算法可广泛应用于工程设计和非线性系统的鲁棒稳定性分析等实际问题中。

A stochastic nonlinear programming model of production with delay interaction (which is a static optimization model to solve the dynamic optimization problem) is built up and transformed into a deterministic nonlinear programming model and further into a linear programming model by adding constraints.

首先根据实际需要建立关联方程有延迟的车间生产的随机非线性规划模型，即一种求解动态优化问题的静态优化模型。

Due to the discreteness of transformer taps and the switching of shunt capacitance/reactance banks, the rigorous reactive power optimization is the problem of Mixed-Integer Nonlinear Programming involving both discrete and continuous variables.

在电力系统无功优化过程中，由于有载调压变压器分接头的存在和补偿电容／电抗器分组投切的离散特性，使得严格意义上的无功优化问题成为一个离散变量和连续变量共存的混合整数非线性规划(Mixed-Integer Nonlinear Programming，MINLP)问题。

Then base on theweak interference of cable displacement and near influence of hanger tension theories, deducing thesimplified computation method in construction stage. Accouding to the result from optimization, contractwith the result that from using the finite element sofeware ANSYS, we consider the geometric nonlinearand so on. Through the example proving, deduce the simplified optimization method which iseffectiveness, and disproof the weak interference of cable displacement and near influence of hangertension theories is illogicality.

并基于主缆位移的弱干性和吊索索力相邻影响的特性，推导出施工阶段的简化分析方法，然后利用大型有限元程序ANSYS考虑主缆的几何非线性等影响，对成桥索力进行优化，并对两者结果进行对比，通过实桥算例验证，得出有效的简化优化方法，并反证主缆位移的弱干性和吊索索力相邻影响的特性的不合理。

First, by taking into account not only interband effects but also intraband effects, such as carrier heating , spectral hole burning , two-photon absorption and ultrafast nonlinear refraction and the interaction of control pulse and signal pulse in SOA, the relationship between the performance of TOAD (including flatness of switching window, chirp of output signal and extinction ratio of the demultiplexed signal) and the parameters of input pulse (including the wavelength and power of control and signal pulse) are studied.

首先，在考虑到由于带内效应，诸如载流子热效应、谱烧孔效应、超快非线性折射效应和双光子吸收效应而导致得非线性增益压缩效应以及控制光和信号光相互作用情况下，研究了TOAD的各性能参数，包括开关窗口的平坦性、输出信号的啁啾特性、解复用信号的消光比特性等与输入控制光和信号光的波长及功率的关系，在此基础上对TOAD性能进行了优化。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。