本文選題：電壓穩(wěn)定性 + PV曲線�。� 參考：《太原理工大學》2014年碩士論文

【摘要】：隨著用戶日益增長的電力需求和地域間電網(wǎng)互聯(lián)程度的提高,局部電力系統(tǒng)已接近電壓極限運行狀態(tài),電壓穩(wěn)定問題日益突出。由電壓穩(wěn)定性所引起的大面積停電事故不僅造成了巨大的經(jīng)濟損失,還給人們的正常生活帶來極大不便。因此,電壓穩(wěn)定性分析問題越來越受到國內(nèi)外專家的廣泛關(guān)注。本文考慮負荷變動對系統(tǒng)靜態(tài)電壓穩(wěn)定性的影響,研究基于潮流算法的靜態(tài)電壓穩(wěn)定性分析方法。主要包括以下內(nèi)容。 (1)研究靜態(tài)電壓穩(wěn)定性分析方法和概率潮流算法。即從電壓穩(wěn)定性的概念出發(fā),分析電壓崩潰的起因等。詳述近些年來靜態(tài)電壓穩(wěn)定性分析方法的研究現(xiàn)狀。介紹概率潮流算法的概念及其研究現(xiàn)狀。 (2)利用改進連續(xù)潮流法(the Improved Continuation Power Flow, ICPF)分析靜態(tài)電壓穩(wěn)定性。介紹了求解常規(guī)潮流方程的常用算法：牛頓-拉夫遜法,并將其作為本文靜態(tài)電壓穩(wěn)定性分析的基礎潮流算法；在此基礎上詳細介紹了用于靜態(tài)電壓穩(wěn)定分析的連續(xù)潮流算法。并詳細敘述對原有連續(xù)潮流算法所做的改進,改進后的連續(xù)潮流算法可分析系統(tǒng)在正�；蚴枪收线\行情況時單節(jié)點、多節(jié)點、隨機節(jié)點增加等方式下的靜態(tài)電壓穩(wěn)定性。 (3)利用改進二分搜索法(the Improved Bisection Searching Technique, IBST)分析靜態(tài)電壓穩(wěn)定性。簡要敘述二分搜索法的基本原理及其在數(shù)學和計算機中的應用,并結(jié)合二項搜索法在求解電力系統(tǒng)處于電壓崩潰時的負荷增長比例、繪制PV曲線的上半分支、獲取電壓崩潰點信息等方面的應用,提出用改進的二分搜索法分析指定負荷增長模式下的靜態(tài)電壓穩(wěn)定性。 (4)利用基于半不變量的概率潮流算法分析靜態(tài)電壓穩(wěn)定性。計及發(fā)電機和負荷的不確定性,建立交流概率潮流的節(jié)點電壓方程,得出節(jié)點電壓的線性化交流概率模型；并結(jié)合半不變量和Gram-Charlier級數(shù)展開計算各節(jié)點電壓概率密度函數(shù)(Probability Density Function, PDF)。據(jù)此可直接判斷出各節(jié)點電壓幅值是否處于在允許波動的范圍內(nèi),定性分析系統(tǒng)網(wǎng)架結(jié)構(gòu)應對負荷波動的能力。 (5)算例分析。將上述三種方法分別應用于IEEE-30節(jié)點和IEEE-14節(jié)點系統(tǒng),并基于MATLAB軟件平臺編程計算。首先,將改進連續(xù)潮流算法和改進二分搜索法應用于IEEE-30節(jié)點系統(tǒng),得到正常運行和線路故障狀態(tài)時,多種負荷增長方式下系統(tǒng)達電壓崩潰點的各節(jié)點電壓幅值和電壓變化率等指標,通過該指標分析各種情況下的靜態(tài)電壓穩(wěn)定性。并將這兩種算法計算結(jié)果加以對比。結(jié)果表明,改進二分搜索法在計算時間和算法收斂性方面優(yōu)于改進的連續(xù)潮流算法。其次,將基于半不變量的的概率潮流算法應用于IEEE-14節(jié)點系統(tǒng),描繪系統(tǒng)正常運行和線路斷線故障狀態(tài)下的節(jié)點電壓概率密度函數(shù)圖像,并利用該圖像分析系統(tǒng)靜態(tài)電壓穩(wěn)定性。最后,將基于半不變量的概率潮流算法與蒙特卡洛法的計算結(jié)果進行對比。結(jié)果表明,基于半不變量的概率潮流算法在計算速度、存儲空間的方面都優(yōu)于蒙特卡洛法。
[Abstract]:With the increasing power demand of users and the increase of inter - regional power grid interconnection , the local power system has approached the operational state of voltage limit , and the problem of voltage stability is increasingly prominent . The problem of large - area power failure caused by voltage stability not only causes huge economic loss , but also brings great inconvenience to the normal life of people . Therefore , the analysis of voltage stability is more and more attracted by experts at home and abroad . Considering the influence of load fluctuation on the static voltage stability of the system , the static voltage stability analysis method based on power flow algorithm is studied .

( 1 ) The static voltage stability analysis method and the probabilistic power flow algorithm are studied , which is based on the concept of voltage stability , analyzes the causes of voltage collapse , and details the current research status of static voltage stability analysis methods in recent years .

( 2 ) The static voltage stability is analyzed by using the improved continuous power flow ( ICPF ) method . A common algorithm for solving the conventional power flow equation is introduced : Newton - Raphson method , which is used as the basic power flow algorithm for static voltage stability analysis in this paper ;
On this basis , the continuous power flow algorithm for static voltage stability analysis is introduced in detail . The improvement of the original continuous power flow algorithm is described in detail . The improved continuous power flow algorithm can analyze the static voltage stability of the system under normal or fault conditions , such as single node , multi - node and random node .

( 3 ) The stability of static voltage is analyzed by improved bisection search technique ( IBST ) . The basic principle of binary search method and its application in mathematics and computer are briefly described , and the application of two - item search method in solving the load growth ratio of power system in voltage collapse is introduced , the upper half branch of PV curve is drawn , voltage collapse point information is obtained , and the static voltage stability in the specified load growth mode is analyzed by improved dichotomy search method .

( 4 ) analyzing the static voltage stability by using the probabilistic power flow algorithm based on the semi - invariant , and establishing a node voltage equation of the alternating current probability flow according to the uncertainty of the generator and the load , and obtaining a linearized AC probability model of the node voltage ;
Probability Density Function ( PDF ) is calculated by combining semi - invariant and Gram - Charlier series . In this way , it can be directly judged whether the voltage amplitude of each node is within the range of allowable fluctuation , and the network frame structure of the qualitative analysis system should be able to cope with the load fluctuation .

( 5 ) The three methods are applied to IEEE - 30 node and IEEE - 14 node system respectively , and are programmed and calculated on the basis of MATLAB software platform . First , the improved continuous power flow algorithm and improved dichotomy search method are applied to IEEE - 30 node system . The results show that the improved dichotomy search method is superior to the improved continuous power flow algorithm in terms of computing time and algorithm convergence . The results show that the improved dichotomy search method is superior to Monte Carlo method in computing speed and storage space .

【學位授予單位】：太原理工大學
【學位級別】：碩士
【學位授予年份】：2014
【分類號】：TM712

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