Numerical Simulation of Linear Electromagnetic Stirring in Secondary Cooling Region of Slab Caster

According to the theory of alternating magnetohydrodynamics and magnetic boundary renewal method,mathematical models were proposed for electromagnetic stirring in secondary cooling region( SEMS) of slab caster. The magnetic fields and flow fields of melt were simulated with SEMS. It's shown that the electromagnetic forces with inward and sidelong components produced by travel magnetic field at the wide faces of slab make the melt whirling in horizontal section,and the convection of the melt is strengthened obviously there. In addition,magnetic flux density attenuates from the edge to the center of slab,and the profile of the melt velocity along slab thickness in the center of the horizontal section takes a two-opposite-peak configuration. Ultimately,the stirring intensity and features are determined by the electromagnetic parameters,coil arrangement and stirring types.

Model Predictive Control of Nonlinear Systems: Stability Region and Feasible Initial Control

This paper proposes a new method for model predictive control （MPC） of nonlinear systems to calculate stability region and feasible initial control profile/sequence, which are important to the implementations of MPC. Different from many existing methods, this paper distinguishes stability region from conservative terminal region. With global linearization, linear differential inclusion （LDI） and linear matrix inequality （LMI） techniques, a nonlinear system is transformed into a convex set of linear systems, and then the vertices of the set are used off-line to design the controller, to estimate stability region, and also to determine a feasible initial control profile/sequence. The advantages of the proposed method are demonstrated by simulation study.

Hierarchical Linear Model of Monthly Rainfall with Regional and Seasonal Interaction Effects

According to the hierarchical characteristics of monthly rainfall in different regions, the paper takes the geographical factors and seasonal factors into the hierarchical linear model as the level effect. Through clustering methods we select two more representative regional meteorological data. We establish three-layer model by transforming the interactive structure date into nested structure data. According the model theory we perform the corresponding model calculations, optimization and analysis, accordingly to interpret the level effects, and residual test. The results show that most of the difference in Monthly Rainfall was respectively explained by Variables (Meteorological factors, seasonal effects, geographic effects) in different levels.

A CLASS OF TRUST REGION METHODS FOR LINEAR INEQUALITY CONSTRAINED OPTIMIZATION AND ITS THEORY ANALYSIS Ⅱ．LOCAL CONVERGENCE RATE AND NUMERICAL TESTS

In this paper we prove that a class of trust region methods presented in part I is superlinearly convergent. Numerical tests are reported thereafter. Results by solving a set of typical problems selected from literatures have demonstrated that our algorithm is effective.

A CLASS OF TRUST REGION METHODS FOR LINEAR INEQUALITY CONSTRAINED OPTIMIZATION AND ITS THEORY ANALYSIS:I.ALGORITHM AND GLOBAL CONVERGENCEXIU NAIHUA

A class of trust region methods for solving linear inequality constrained problems is proposed in this paper. It is shown that the algorithm is of global convergence.The algorithm uses a version of the two-sided projection and the strategy of the unconstrained trust region methods. It keeps the good convergence properties of the unconstrained case and has the merits of the projection method. In some sense, our algorithm can be regarded as an extension and improvement of the projected type algorithm.

Regional Controllability of Semi-Linear Distributed Parabolic Systems: Theory and Simulation

The aim of this brief paper is to give several results concerning the regional controllability of distributed systems governed by semi-linear parabolic equations. We concentrate on the determination of a control achieving internal and boundary regional controllability. The approach is based on an extension of the Hilbert Uniqueness Method (HUM) and Schauder’s fixed point theorem. We give a numerical example developed in internal and boundary sub region. These numerical illustrations show the efficiency of the approach and lead to conjectures.

Empirical T_m modeling in the region of Guangxi

This paper presents three strategies for modeling the regional empirical Tm （the weighted mean tem- perature of the atmosphere） to obtain more accurate determinations in a regional empirical model that is better adapted to the geographical and climatic characteristics of the applied area. The proposed models utilize data from four radiosonde stations in Guangxi, at Nanning, Guilin, Wuzhou and Baise, over an 11 month period （from Jan. to Nov. of 2011 ）. The experimental results demonstrated the following： （1） there is no significant

Weak and strong stabilization of linear systems

We study the problem of stabilizing a distributed linear system on a subregion of its geometrical domain. We are concerned with two methods： the first approach enables us to characterize a stabilizing control via the steady state Riccati equation, and the second one is based on decomposing the state space into two suitable subspaces and studying the projections of the initial system onto such subspaces. The obtained results are performed through various examples.

省会城市首位度对省域创新的影响

基于中国2007—2021年省级面板数据,借助面板门槛模型,实证考察省会城市首位度对省域创新的影响方向和作用程度。结果表明:省会城市首位度对省域创新水平存在双重门槛的非线性影响,并呈现先抑制后促进再抑制的演化特征;省会城市首位度的创新效应受市场化程度与区域吸收能力的异质性正向调节,且呈现单门槛特征。当前,中国多数省(区)的省会城市首位度处在过高水平,较低的市场化程度和区域吸收能力制约了省会城市首位度的创新效应。各省(区)应基于经济发展规律在省域空间发展上作出“因省施策”的选择,加强市场化改革力度并提高区域吸收能力,最大化释放省会城市首位度对省域创新水平的积极影响,有效实现区域创新协同和省域一体化发展。

LMI Approach to Robust H_∞/H_2 Controller Design with Regional Poles Constraint of a Pump-Motor System

The time domain guideposts requirements of a pump-motor system is transfered into a series of constraints which express the robust performance upper bound and regional poles limits of the closed loop system. Then the servo system control problem is transferred into the problem of robust performance optimizing under regional poles constrains described by linear matrix inequality （LMI）. These LMIs are easy to solve through the Matlab LMI-toolbox. Simulations indicate that the controller has excellent dynamic, static and disturbance rejection performance, and the control system is robust and has perfect H2 performance to the bounded external torque disturbance.

A SELF-ADAPTIVE ALGORITHM FOR NONLINEAR LEAST SQUARES WITH LINEAR CONSTRAINTS

An algorithm for solving nonlinear least squares problems with general linear inequality constraints is described.At each step,the problem is reduced to an unconstrained linear least squares problem in a subs pace defined by the active constraints,which is solved using the quasi-Newton method.The major update formula is similar to the one given by Dennis,Gay and Welsch (1981).In this paper,we state the detailed implement of the algorithm,such as the choice of active set,the solution of subproblem and the avoidance of zigzagging.We also prove the globally convergent property of the algorithm.

制造业与生产性服务业协同集聚能否推动绿色创新效率提升?

本文在提出理论机制与测算中国30个省市产业协同集聚和绿色创新效率水平的基础上,深入探究了两者的非线性关系和多重影响机制。研究结果表明:2011-2021年间,全国绿色创新效率波动上升,产业协同集聚水平呈缓慢下降;产业协同集聚对绿色创新效率的影响呈显著“U”型特征,且这一结果在处理稳健性问题后依旧成立;长江经济带产业协同集聚对绿色创新效率的影响呈“U”型且即将跨越拐点,而非长江经济带仅具有线性关系;知识溢出及税收竞争在产业协同集聚与绿色创新效率的非线性关系中发挥了显著的中介作用;此外,知识产权保护及环境规制还在两者的关系中起到了不同方向的调节作用。

Simulation of Quasi-Linear Mesoscale Convective Systems in Northern China：Lightning Activities and Storm Structure

Two intense quasi-linear mesoscale convective systems（QLMCSs） in northern China were simulated using the WRF（Weather Research and Forecasting） model and the 3D-Var（three-dimensional variational） analysis system of the ARPS（Advanced Regional Prediction System） model.A new method in which the lightning density is calculated using both the precipitation and non-precipitation ice mass was developed to reveal the relationship between the lightning activities and QLMCS structures.Results indicate that,compared with calculating the results using two previous methods,the lightning density calculated using the new method presented in this study is in better accordance with observations.Based on the calculated lightning densities using the new method,it was found that most lightning activity was initiated on the right side and at the front of the QLMCSs,where the surface wind field converged intensely.The CAPE was much stronger ahead of the southeastward progressing QLMCS than to the back it,and their lightning events mainly occurred in regions with a large gradient of CAPE.Comparisons between lightning and non-lightning regions indicated that lightning regions featured more intense ascending motion than non-lightning regions;the vertical ranges of maximum reflectivity between lightning and non-lightning regions were very different;and the ice mixing ratio featured no significant differences between the lightning and non-lightning regions.

多元广义线性模型经验似然方法分析

针对多元广义线性模型,基于估计相关阵、广义估计方程和经验似然方法,本文构造出经验似然比统计量,此统计量能克服“工作相关阵”方法的误设定问题.在一定的条件下,本文也获得了经验似然比统计量渐近Wilks性质,该结果可用作未知参数向量置信域的构造.最后,通过数值模拟对所提方法的有效性进行验证.

地方环境对流动人口回流意愿的非线性影响——基于流入地与户籍地的比较分析

基于2017年流动人口动态监测调查数据,以流动人口回流意愿为响应变量,以流入地和户籍地的地方环境、个人及家庭因素为解释变量,引入机器学习领域的梯度提升决策树模型,重点探究不同地区地方环境对流动人口回流意愿的非线性影响及阈值效应。研究发现:①户籍地和流入地的地方环境对流动人口回流意愿的总体贡献率达44.1%,是影响回流意愿的重要因素,且两地贡献率大致相当。②地方环境因素与回流意愿间的非线性与线性关系并存。其中,医疗卫生资源、基础教育资源、空气污染状况等因素对回流意愿具有明显的非线性影响,而经济增长、气温条件则以线性影响为主。研究揭示了中国国内城-乡人口回流的特殊性与复杂性,有助于深化新时期人口迁移研究,并为地方人口政策制定提供科学借鉴。

基于动态振荡剪切的砒砂岩浆体流变行为研究

[目的]随着全球变暖及强降水极端事件频发,砒砂岩区滑塌泥流灾害可能将不断增加。为探明水-土互馈作用如何导致脆弱岩土松动变形进而发展为泥流,系统认识其演化过程的关键科学问题。[方法]以4种典型砒砂岩为研究对象,采用流变学方法,开展动态振荡剪切下砒砂岩浆体的流变特性研究,探索砒砂岩浆体的液化过程及流变特性。[结果](1)随着剪切应变增加,4种砒砂岩浆体储能模量和损耗模量减小,表现出应变变稀特点。(2)在含水率较低(w<50%)的样品中,紫、棕色砒砂岩浆体与红、白色砒砂岩浆体相比,线性黏弹区的应力和应变更大。在含水率较高(w≥50%)的样品中,红、白色砒砂岩浆体与紫、棕色砒砂岩浆体相比,流动点的应力和应变更大。(3)随含水率增加,4种砒砂岩浆体的储能模量和损耗模量降低,线性黏弹区的应力和应变降低。[结论]细颗粒物质可增加浆体在线性黏弹区的抗剪强度和弹性,但细颗粒浆体受含水率影响较大,水分加入后,浆体结构破坏、抵抗变形的能力立即减弱,同时,更容易发生相态转变。粗颗粒的存在使浆体非线性黏弹区弹性主导的范围增大,阻碍浆体的相态转变。该研究结果为砒砂岩区泥流灾害的认识和防治提供一定的科学基础。

基于改进灰度重心法的线结构光中心提取算法

针对传统算法无法准确提取线结构光条中曲率变化较大区域中心线的缺陷,提出了一种基于改进灰度重心法的线结构光中心线提取算法。基于阈值法提取感兴趣区域和开闭运算滤除图像中的噪声点,获取质量相对较高的待处理图像;利用灰度重心法提取光条中心点,得到初始坐标并设置一个矩形计算区域,根据最小二乘法计算每个初始点的方向向量和法向量;在设定的矩形区域内计算初始点在其法线方向上的偏移量,得到精确的中心点坐标。实验结果表明:提出的算法能在线结构光中心中曲率变化较大区域精确提取中心线,提取精度均值为0.096 pixels,精度比率为44.2%,平均提取速度为0.082 s。

考虑灵活性区域互济的电力系统源-网-储协同规划

为应对新型电力系统灵活性需求增加与灵活性资源分布不均的矛盾,提出考虑灵活性区域互济的电力系统源-网-储协同规划方法。首先,计及风光出力的相关性与不确定性,利用场景法和区间法对电力系统的灵活性需求进行量化;进一步地,分析源-网-储多类型灵活性资源的运行特性,量化其灵活性供给能力;在此基础上,确立考虑灵活性区域互济的灵活性供需平衡条件,以此平衡条件为核心,建立兼顾新型电力系统投资决策与运行模拟的双层优化模型,实现广域范围内源-网-储多类型资源的协同规划,并利用分段线性化的方法将该模型转化为混合整数线性规划问题以进行求解;最后,以西南某区域互联电网为例进行算例分析,结果表明所提规划方法在有效提升电力系统灵活调节能力的同时,能够降低系统的投资建设成本。

C3和C5航线运价影响因素研究

为了更好地掌握C3和C5航线运价指数的波动规律,降低航运经营者和投资者贸易投资的风险,基于AIS数据建立短期运价回归模型。在船舶运力和油价的基础上,提出区域运力作为影响航线运价的新因素,并采用多元线性逐步回归法在未加入区域因素和加入区域因素的2种情况下分别对C3和C5航线运价进行回归分析。实例验证表明,加入区域因素后C3和C5的短期运价回归模型拟合度较未加入区域因素时回归模型的拟合度分别提高了0.072和0.071,短期预测的效果较好,可为航运经营者提供一定的决策支持。

考虑光伏随机性的交直流混合配电网鲁棒机会约束安全域模型

为实现高比例光伏接入下交直流混合配电网的安全评估,构建了交直流混合配电网的鲁棒机会约束安全域模型。首先,提出一种基于区间划分的自适应带宽核密度估计方法,以获取光伏预测误差概率分布,构建光伏出力机会约束不确定集合;其次,采用功率与节点电压幅值比值为状态变量,在已有交流线性化潮流模型的基础上推导一种交直流混合配电网线性化潮流模型;然后,提出交直流混合配电网鲁棒机会约束安全域的概念和模型,结合列与约束生成算法和径向迭代搜索算法生成可观测的鲁棒机会约束安全域空间。最后,算例分析验证了所提模型能够在鲁棒机会约束安全域上准确、直观的反映光伏出力的随机性,进而为交直流混合配电网的准确安全评估提供支撑。