幾種提高牛頓法潮流收斂性的初值給定方法研究 

李智歡1，朱喬木2，蘇寅生1，韓云飛2，黃河1，陳金富2 
1 中國南方電網(wǎng)有限責(zé)任公司，廣東 廣州 510623；
2 華中科技大學(xué) 強(qiáng)電磁工程與新技術(shù)國家重點(diǎn)實(shí)驗(yàn)室，湖北 武漢 430074 
 

摘 要：針對牛頓法潮流計算的初值敏感問題，考慮了兩種含小阻抗支路的病態(tài)系統(tǒng)和重負(fù)荷病態(tài)系統(tǒng)對潮流收斂性的影響，結(jié)合IEEE9、IEEE39和某市電網(wǎng)等多個算例，對比分析了平直啟動、直流潮流法、PQ分解法、高斯-塞德爾法等多種初值給定的方法。算例計算結(jié)果表明，選擇合適的方法給定迭代初值，可較好解決用牛頓法進(jìn)行潮流計算時因?yàn)槌踔颠x取不當(dāng)導(dǎo)致的潮流收斂過慢或者無法收斂的問題。
關(guān)鍵詞：牛頓法潮流計算；初值敏感；潮流收斂；初值
中圖分類號：TM711；TM744 文獻(xiàn)標(biāo)識碼：A 文章編號：1007-3175(2015)10-0001-05

Research on Several Initial Value Methods of Improved Newton-Raphson Power Flow Convergence 

LI Zhi-huan1, ZHU Qiao-mu2, SU Yin-sheng1, HAN Yun-fei2, HUANG He1, CHEN Jin-fu2 
China Southern Power Grid Co., Ltd, Guangzhou 510623, China; 2 State Key Laboratory of Advanced Electromagnetic Engineering and Technology, Huazhong University of Science and Technology, Wuhan 430074, China 
 

Abstract: In allusion to the initial value sensitivity problem of Newton-Raphson power flow calculation, this paper considered the impacts of the morbidity system containing small impedance subcircuits and the heavy loading morbidity system on the power flow calculation convergence of power systems. Combining with several calculated examples of IEEE9, IEEE39 and certain city power grid, this paper compared and analyzed straightness starting, direct current power flow, PQ decomposition, Gauss-Seidel etc multiple initial value methods. The result of calculation shows that the problems of slow convergence rate and no convergence because of improper initial value selection can be effectively solved by using initial values provided by suitable methods.
Key words: Newton-Raphson power flow calculation; initial value sensitivity; power flow convergence; initial value

參考文獻(xiàn)
[1] 孫秋野，陳會敏，楊家農(nóng)，等.牛頓類潮流計算方法的收斂性分析[J].中國電機(jī)工程學(xué)報，2014，34(13)：2196-2200.
[2] CHEN Ying, SHEN Chen.A Jacobian-free Newton-GMRES(m) method with adaptive preconditioner and its application for power flow calculations[J].IEEE Transactions on Power Systems，2006，21(3)：1096-1103.
[3] YANG Hui, WEN Fu-shuan, WANG Li-ping.Newton-Raphson on power flow algorithm and broyden method in the distribution system[C]//IEEE 2nd International Power and Energy Conference，2008.
[4] Moura A A F，Moura A P.Newton-Raphson on decoupled load flow with constant matrices of condutance and susceptance[C]//9th IEEE International Conference on Industry Applications，2010．
[5] YAO Yu-bin，WANG Dan，CHEN Yong，et al.The effect of small impedance branches on the convergence of the Newton Raphson power flow[C]//Third International Conference on Deregulation and Restructuring and Power Technologies，2008．
[6] 姚玉斌，魯寶春.小阻抗支路對牛頓法潮流的影響及其處理方法[J].電網(wǎng)技術(shù)，1999，23(9)：27-31．
[7] 周佃民，廖培金.電力系統(tǒng)病態(tài)潮流的同倫方法求解[J].電力系統(tǒng)及其自動化學(xué)報，1999，11(5/6)：67-71．
[8] Stott B.Effective starting process for Newton-Raphson load flows[C]//Proceedings of the Institution of Electrical Engineers, 1971.
[9] 葉平峰，韓學(xué)山.一種病態(tài)電網(wǎng)潮流的數(shù)值解法[J].電網(wǎng)技術(shù)，2012，36(9)：146-150.