基于極坐標(biāo)的牛頓－拉夫遜法潮流計(jì)算

摘 要

　　　潮流計(jì)算是電力系統(tǒng)最基本的計(jì)算功能，其基本思想是根據(jù)電力網(wǎng)絡(luò)上某些節(jié)點(diǎn)的已知量求解未知量，潮流計(jì)算在電力系統(tǒng)中有著獨(dú)特的作用。它不僅能確保電力網(wǎng)絡(luò)能夠正常的運(yùn)行工作、提供較高質(zhì)量的電能，還能在以后的電力系統(tǒng)擴(kuò)建中各種計(jì)算提供必要的依據(jù)。
　　　計(jì)算潮流分布的方法很多，本設(shè)計(jì)主要用的是基于極坐標(biāo)的牛頓－拉夫遜法。根據(jù)電力系統(tǒng)網(wǎng)絡(luò)的基本知識(shí)，構(gòu)建出能代表電力系統(tǒng)系統(tǒng)網(wǎng)絡(luò)的數(shù)學(xué)模型，然后用牛頓—拉夫遜法反復(fù)計(jì)算出各個(gè)接點(diǎn)的待求量，直到各個(gè)節(jié)點(diǎn)的待求量滿(mǎn)足電力系統(tǒng)的要求。我們可以畫(huà)出計(jì)算框圖，用MATLAB編寫(xiě)出程序，來(lái)代替?zhèn)鹘y(tǒng)的手算算法。復(fù)雜電力系統(tǒng)是一個(gè)包括大量母線、支路的龐大系統(tǒng)。對(duì)這樣的系統(tǒng)進(jìn)行潮流分析時(shí)，采用人工計(jì)算的方法已經(jīng)不再適用。計(jì)算機(jī)計(jì)算已逐漸成為分析復(fù)雜系統(tǒng)潮流分布的主要方法。本設(shè)計(jì)中還用了一個(gè)五節(jié)點(diǎn)的電力系統(tǒng)網(wǎng)絡(luò)來(lái)驗(yàn)證本設(shè)計(jì)在實(shí)際運(yùn)行中的優(yōu)越性。
　　　
關(guān)鍵詞：牛頓－拉夫遜法，復(fù)雜電力系統(tǒng)，潮流計(jì)算
　　　

The method of Newton- Raphson based on polar

ABSTRACT

　　　Power system load flow calculation is the most basic computing functions, the basic idea is based on some of the electricity network nodes to solve the unknown quantity of known volume,In power system, power flow, which can ensure that electrical net can work well and give the high quality power, but also later provide the necessary datas in the enlargement of the power system. has special function.
　　There are lots of methods about power flow. We mainly use the method of Newton-Raphson based on polar in my design. According to the basic knowledge of the electrical network, we established the mathematics model which can presents the power system ,then computed again and again unknown members of the each bus with the method of Newton-RaphSon until the unknown numbers meet the demand of the power system. We can write down the block diagram and write the order with the Matlab in place of the traditional methods. Complex power system is a large system which involves lots of bus bars and branches. We also chose a five-bus power system for testing the advantages in the relity.
　　　
　　　
　　　
　　　
　　　
KEY WORDS: Newton-Raphson，power system，power flow
目　錄
　　　
前　言 1
第一章 電力系統(tǒng)潮流計(jì)算的基本知識(shí) 2
1.1潮流計(jì)算的定義及目的 2
1.2潮流計(jì)算方法的發(fā)展及前景 2
第二章 潮流計(jì)算的節(jié)點(diǎn) 5
2.1 節(jié)點(diǎn)的分類(lèi) 5
2.2潮流問(wèn)題變量的約束條件 7
第三章 電力網(wǎng)絡(luò)的數(shù)學(xué)模型 8
3.1 節(jié)點(diǎn)導(dǎo)納矩陣的形成 9
3.2 節(jié)點(diǎn)導(dǎo)納矩陣的修改 9
第四章 潮流計(jì)算的原理 12
4.1 牛頓－拉夫遜法 12
第五章 計(jì)算實(shí)例 17
5.1算例 17
5.2 節(jié)點(diǎn)導(dǎo)納的形成 17
5.3 計(jì)算結(jié)果 18
結(jié)　論 20
謝 辭 22
參考文獻(xiàn) 23
附　錄 24
計(jì)算程序 25
外文資料翻譯 41