广义Julia集的非线性复映射族生成模拟*

研究了非线性复动力系统生成广义Julia集的空间分形可视化问题.首先,对于复迭代映射族z←F(zw)+c(w=α+βi)(其中F(zw)为任一复变多项式),定义适当的数据结构存储相关信息;然后,分别基于牛顿迭代、逃逸时间和陷阱分形三种算法的基本思想,并结合色彩学原理,提出计算机模拟非线性复映射族生成一类广义Julia集...     

基于MATLAB的牛顿拉夫逊法电力潮流计算与实现

牛顿-拉夫逊法是电力系统潮流计算最常用的算法之一,它收敛性好,迭代次数较少。本文基于牛顿一拉夫逊法进行了具体的分析,并由此设计了基于HATLAB的可视化界面。该界面具有良好的操作性和可阅读性,可用于常用的小系统电网的潮流计算。     

模型未知的非双曲型非线性序列去噪算法

针对模型未知的非双曲型非线性序列难以实现去噪和轨迹重影的问题,基于模型选取的最小描述长度准则,从过拟合和欠拟合的角度分析边缘误差算法对离散系统的非最优性和不适应性,利用改进的全局误差算法对系统进行建模,结合梯度下降方法的稳定性和Newton-Raphson算法的快速收敛性提出一种融合算法,用于在机器精度内实现非双曲型非线性离散系统时间序列的去噪和轨迹重影。通过辅以极少点数的无污染序列和仅从单变量受扰观测序列2项实验验证该算法的有效性。     

Kinematics Analysis of Motion Simulation Subsystem for Unmanned Vehicle

Unmanned vehicle has attracted wide attention and interests throughout the world since it first deputed in the 1960s. However, the experimental methods for unmanned vehicle’s intelligent behavior, such as semi-physical simulation and motion subsystem, have not been widely explored. First, the requirements of the motion subsystem in unmanned vehicle semi-physical facility are analyzed, and a six DOF parallel manipulator is selected to reproduce the pose of the vehicle. The link lengths of the motion subsystem are worked out under the given rotational angles of the vehicle. According to the geometric properties of tetrahedron, three joint positions of the top platform are determined, and the rest are obtained from the first three position vectors. Six constraint equations are set up based on the vertices on the top platform and the link lengths. In order to solve the six angle variables, a numerical algorithm built on the Newton-Raphson iterative method is presented, which is based on Taylor series expansion of six constraint equations. The pose of the top platform is ultimately calculated. The eigenvalues of the top platform are solved to obtain the natural frequencies of the motion subsystem. The coordinates of six joint centers on the top platform and six constraint equations can be realized by simple algebraic manipulation, which allows significant abbreviation in the formulation and provides a systematic way of obtaining the kinematic solution of the parallel manipulator. A numerical example is given and its efficacy is demonstrated by the inverse kinematics. The computation strategy based on tetrahedron method and Newton-Raphson iterative method provide a simple and cost-effective method for solving forward kinematics of six DOF parallel manipulators, and this method sheds light on other parallel manipulators.     

基于牛顿-拉夫逊法的光伏面板模型参数计算

光伏面板生产厂家通常只给出该面板通过现场实验获得的若干个主要运行点数据,而在光伏发电的研究与仿真中,则需要详细的光伏面板模型参数.针对该问题,文中给出了基于牛顿一拉夫逊迭代算法的光伏面板模型参数计算方法,其优点是只需根据生产厂家提供的实验数据进行少量迭代计算即可获得精确仿真所需模型参数;对于迭代过程中可能出现的雅可比矩阵奇异化问题,给出了相应的改进方法.在实际光伏面板上进行的仿真实验证明了所述方法的准确性、可靠性.     

Simulink simulator for building hydronic heating systems using the Newton-Raphson algorithm

The efficiency of heating systems is increasingly important because of the increasing need to save energy and protect the environment. This paper presents an innovative technique for modeling multi-zone hydronic heating systems in buildings in an easier and more user friendly manner. An original approach is described in which the thermal and hydronic systems are solved simultaneously by simulating the dynamic behavior of pipe water flow rates, water temperatures, and room air temperatures. The simulation uses mathematical models that apply a Newton-Raphson method (NRM) developed in Matlab^© and Simulink^© environments. A user friendly graphical user interface (GUI) enables the designer to analyze any multi-zone hydronic heating system from the point of view of improving its efficiency.A laboratory heating system was used to validate this modeling technique. A series of trials were conducted in a multi-zone laboratory heating system located within the R&D division of a leading Italian boiler manufacturer, and the results presented in this paper validate the model.     

充水式橡胶坝状态参数的实时软测量研究

为了防止因坝体震动造成坝袋表面磨损及灾难性倒塌，提出了基于模型的充水式橡胶坝状态参数的
实时监测算法.通过流体静力学规律对橡胶坝进行分析，建立了无溢流情况下橡胶坝的静态二维模型.对此
模型进行无量纲化处理，使得对橡胶坝状态参数的监测转化为数学意义下标准的两点边值非线性微分方程
组的求解.采用数值方法“打靶法”，联立四阶Runge Kutta法和Newton Raphson法来求解此两点边值非
线性微分方程组，从微分方程组的解中获得要监测的状态参数.仿真结果表明，该实时监测算法可以清楚
地刻画出橡胶坝横截面的形状，且可以有效地监测橡胶坝参数.     

全牛顿—拉甫森法模拟多元精馏过程——(Ⅱ)极性物系精馏过程的模拟计算

本文研究了全牛顿—拉甫森法在极性物系精馏中的应用。采用了新松弛法提供初值,提出了随机方向搜索法改善其收敛稳定性。     

基于PSPICE的电路仿真收敛问题研究

运用PSPICE对所设计电路进行直流分析和暂态分析时,经常会遇到电路原理设计与连接都没有问题,但是会出现不收敛问题而使仿真羌法完成的情况。从PSPICE所采用的求解非线性方程组算法出发,分析算法的固有特点对收敛性问题的影响,并分别对直流分析不收敛和暂态分析不收敛问题提出了几种有效的解决方法。最后列举了直流分析不收敛和暂...