-
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
-
OFDM_QPSK
OFDM using Quadrature phase shift keying modulation scheme
- 2011-10-14 20:19:26下载
- 积分:1
-
problem2
matlab 感知机实验源码(神经网络课程实验一)(Perceptron test matlab source)
- 2009-04-28 13:29:54下载
- 积分:1
-
20051224192310-2
翻译了3GPP 25213-700扩频部分的协议内容,此标准翻译的还算标准,可以直接使用(translated 3GPP 25213-700 spreading part of the agreement, Such standards are fairly standard translation can be used directly)
- 2006-12-04 11:01:56下载
- 积分:1
-
MELP_m
melp 2400bps coder-decoder the new federal standard to use in transform speech in digital signals
- 2011-01-13 15:38:50下载
- 积分:1
-
MATLAB 线性方程组的数值解法.part5
是MATLAB 线性方程组的数值解法....
Gauss消去法.. 顺序Gauss消去法.. Gauss-Jordan消去法... 追赶法... 1 LU分解... Cholesky分解.....Jacobi迭代法..Gauss-Seidel迭代法.. 逐次超松弛迭代法... 梯度法..
奇异值分解法...
rref函数... lu函数... chol函数. mrdivide函数(MATLAB Efficient Programming Skills and Applications 25 Cases Analysis of Example Code Compression Section5)
- 2020-06-23 22:20:02下载
- 积分:1
-
zhengqihuanxiang
蒸气幻想简单挂机脚本.jar供研究Script的玩家学习(steam fantasy simple hook script. Script jar for research study of the player. .)
- 2014-09-18 10:35:53下载
- 积分:1
-
cPPmathlib-for-matlab(2.48mb)
matlab的c++ 数学库的使用手册,方便嵌入到c++开发中(matlab in c++ math library user' s manual, easy to c++ embedded development)
- 2011-10-12 21:20:46下载
- 积分:1
-
lanczos
matlab源码,可以实现lanczos过程(matlab source code can achieve lanczos process)
- 2021-02-01 14:40:00下载
- 积分:1
-
TransResp1
说明: 利用matlab编程求解瞬态问题,内容简单,利于入门(Using MATLAB programming to solve transient problems, the content is simple and easy to get started)
- 2021-01-21 23:48:40下载
- 积分:1