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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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comtest
自己写的串口中断程序
带有详细注释
适合新手 个人推荐 (Serial interrupt program to write notes with detailed personal recommendation for novice)
- 2020-10-10 11:07:34下载
- 积分:1
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Neuro-Fuzzy-master
说明: 模糊神经网络的实现 用于控制,优化等自动领域(Algoritmo de inferencia difusa ANFIS Takagi-sugeno)
- 2019-04-02 16:03:46下载
- 积分:1
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homework2(YUV)
说明: 采用YUV+K-means对路标进行提取,效果十分不错。(YUV+ k-means is adopted to extract road signs, and the effect is very good.)
- 2020-06-20 09:20:01下载
- 积分:1
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CONP
平衡反应器,用来分析在不同的时间尺度内的化学反应进行程度和气体生成(the conp code is used to analysis the degree of chemical reactions and the productions.)
- 2014-11-20 23:23:34下载
- 积分:1
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Buck_PID
PID control of Boost converter simulink model
- 2015-04-07 20:52:44下载
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support-vector-machine
support vector machine-used for feature classification for matlab10
- 2012-02-28 18:54:59下载
- 积分:1
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guangfu
搭建光伏系统仿真模型,运用最大功率跟踪,能够使系统输出电压稳定(Build a photovoltaic system simulation model, using MPPT, enabling the system output voltage stability)
- 2016-06-30 17:46:16下载
- 积分:1
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Matlab-Toolbox-application-guide
说明: 书名是《Matlab工具箱应用指南——信息工程篇》,对于信息类的matlab仿真比较有用。(Title is " Matlab Toolbox application guide- Information Engineering articles" matlab simulation for the information more useful class.)
- 2011-04-18 01:12:55下载
- 积分:1
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GA-shortcut
在matlab实现,用遗传算法计算最短路径。很好用。不错,分享下了!(GA)
- 2010-05-06 09:29:18下载
- 积分:1