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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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lle
LLE算法是一种非线性数据降维方法,其特点是简单。(LLE algorithm is a kind of nonlinear data dimension reduction method.
Its characteristic is simple
)
- 2012-04-12 20:41:58下载
- 积分:1
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ocl
实现了指纹图像的质量措施ocl(方向确定度),并以网格形式显示(Measures to achieve the quality of the fingerprint image ocl (direction determining degrees), and displays a grid)
- 2013-12-22 00:00:36下载
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DOA_BSMUSIC
说明: 波束空间处理:在波束空间应用MUSIC算法实现DOA估计。( MUSIC algorithm for DOA estimation in the beam space.)
- 2021-03-30 17:09:10下载
- 积分:1
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0
matlab数据处理程序设计实现垃圾分类清理与清运方案的设计(failed to translate)
- 2013-05-05 16:22:15下载
- 积分:1
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data_avg
averaging filter moving average filter
- 2010-06-25 03:07:59下载
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filter
读入语音信号,加入噪声后将其滤除再还原声音(Adding a pulse noise to an existed speech then filt it with a specified FIR filter.)
- 2010-07-18 23:24:53下载
- 积分:1
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armaAnalysismethod
基于arma模型分析方法的具体实现代码, 可以用,放心下载(Arma model-based analysis code, you can rest assured download)
- 2012-07-05 00:11:53下载
- 积分:1
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multiclass_svm
非常有用的多类支持向量机的程序实例,包含实例(multi-class support vector machine instance, contains examples)
- 2020-10-27 23:00:00下载
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Copula理论及应用
Copula理论及应用实例
从xls文件中读取数据 绘制频率直方图 计算偏度和峰度 正态性检验 求经验分布函数值 核分布估计 求Copula中参数的估计值 绘制Copula的密度函数和分布函数图(sample for copula theory)
- 2017-10-09 19:54:46下载
- 积分:1