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MATLAB
一、 牛顿-拉夫逊法概要
首先对一般的牛顿-拉夫逊法作一简单说明。已知一个变量X的函数
(4-6)
解此方程式时,由适当的近似值X(0)出发,根据 (4-7)
反复进行计算,当X(n)满足适当的收敛判定条件时就是(4-6)式的根。这样的方法就是所谓的牛顿-拉夫逊法。
式(4-7)就是取第n次近似解X(n)在曲线 上的点 处的切线与X轴的交点作下一次X(n+1)值的方法。参考图4-2(a)。在这一方法中为了能收敛于真解,初值X(0)的选取及函数f(X)必须满足适当的条件,如图4-2(b)所示的那种情况就不能收敛或收敛到别的根上去。
这一方法还可以做下面的解释,设第n次迭代得到的解与真值之差,即 的误差为 时,则
(4-8)
把 在 附近对 用泰勒级数展开
(4-9)
上式略去 以下的项
(4-10)
的误差可近似由上式计算出来
图4-2
(4-11)
比较式(4-7)和(4-11),可以看出牛顿-拉夫逊法的修正量和 的误差的一次项相等。
用同样的方法考虑,给出对n个变量 (:Because of the importance and complexity of power system, better algorithm and programme language
is very important . An interior point method based on the perturbed Karush2Kuhn2Tucker (KKT) condition is pre2
sented in this paper , where the method and process for the optimal power flow is treated through the Matlab’s
symbolic math toolbox and Mfunction is also presented. Using the symbolic code , it can improve the adaptability
of the programme dramatically. The advantage is that , what we need to do is change the model expression. We
can make use of the symbolic programme to check our programme while we write the Mfunctions. Using the Mat2
lab , we find the optimal solutions and calculate quickly and efficiently. It has proposed the powerful and unique
functions of Matlab in the optimization and calculation for power system.
Key words :power system symbolic calculation optimal power flow interior point method)
- 2020-07-08 16:38:56下载
- 积分:1
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jiedian
电力系统中常用的标准节点数据,基于matlab的哈。(data of IEEE based on matlab,get it to use)
- 2013-03-19 00:57:07下载
- 积分:1
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MATLAB答题卡识别(GUI,论文)
说明: MATLAB答题卡识别(GUI,论文)
本课题为基于MATLAB的不变矩答题卡识别。可识别学号,学科,答案,并进行分数统计,以及判断是否及格。后台可设置标准excel答案。经过灰度变换形成灰度图像、二值化处理、图像滤波、边缘检测、hough变换等预处理。带GUI交互式界面。(Matlab answer card recognition (GUI, paper)
This topic is based on MATLAB moment invariant answer card recognition. Can identify student number, subject, answer, and carry out score statistics, as well as judge whether pass. Standard excel answers can be set in the background. After gray-scale transformation, gray-scale image, binary processing, image filtering, edge detection, Hough transform and other preprocessing are formed. With GUI interactive interface.)
- 2020-03-20 00:40:51下载
- 积分:1
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CG1
matlab 最速下降法与共轭梯度法在matlab中的实现(matlab CG)
- 2012-12-29 09:58:38下载
- 积分:1
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压缩感知的基追踪(BP)算法
用于压缩感知的基追踪(BP)算法,可直接运行。(BP ALOGRITHM FOR COMPRESSIVE SENSING)
- 2020-07-03 01:00:01下载
- 积分:1
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modelingapproachtoswarminginhoneybees
A modeling approach to swarming in honey bees
- 2010-01-26 03:06:34下载
- 积分:1
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tftb2002
用matlab写的时频分析工具箱,对数学建模,信号处理有很大的帮助(Using matlab toolbox written in time-frequency analysis, mathematical modeling, signal processing, very helpful)
- 2010-03-14 11:15:03下载
- 积分:1
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work
说明: 本程序为粗糙集属性约简的算法!如有做这方面的请下载!(this is a good program!if anyone need this, please load down!)
- 2010-04-02 09:54:52下载
- 积分:1
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structure-in-matlab
结构体在matlab中的应用,matlab教程,word格式(structure used in matlab)
- 2012-01-19 01:24:18下载
- 积分:1
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DIEDAI
这是用牛顿迭代法求解的关于多元二次非线性方程组的MATLAB程序,正确无误,本人在使用,无误(This is about multiple quadratic nonlinear equations MATLAB program Newton iterative method, and correct, I would use, correct)
- 2021-03-26 14:59:13下载
- 积分:1