曾嵘,程浩忠.面向电压稳定分析的局部分岔理论及数值计算综述[J].电网技术,1999,23(6):47-49. Zeng Rong,Cheng Haozhong.Review of theory and numerical computation of local bifurcation in voltage stability analysis[J].Power System Technology,1999,23(6):47-49(in Chinese).
[2]
Zambroni A C,Lopes L,Guedes R B L,et al.Saddle-node index as bounding value for Hopf bifurcations detection[J].IEE Proc-Gener,Transm,Distrib,2005,152(5):737-742.
[3]
Zhou Y,Ajjarapu V.A fast algorithm for identification and tracing of voltage and oscillatory margin boundaries[J].IEEE Proc,2005,93(5):934-946.
[4]
Arrogo J,Dobson I.Counterexamples to a method for identifying Hopf bifurcations without eigenvalue calculation[J].IEEE Transactions on Circuits and Systems,2007,54(5):432-434.
[5]
Roose D,Hlavacek V.A direct method for the computation of Hopf bifurcation points[J].Slam J Applied Mathematics,1985(45):879-894.
[6]
Cupta C P,Varma R K,Srivastava S C.A method to determine closest Hopf bifurcation in power systems considering exciter and load dynamics[DB/DL].http://ieeexplore.ieee.org.[2008-04-29].
[7]
库比切克M,马雷克M.分岔理论和耗散结构的计算方法[M].北京:科学出版社,1990:49-50.
[8]
Ye R S.A new approach for the computation of Hopf bifurcation points[J].Applied Mathematics and Mechanics,2000,21(2):1300-1307.
[9]
李宏仲,程浩忠,滕乐天,等.以简化直接法求解电力系统动态电压稳定Hopf分岔点[J].中国电机工程学报,2006,26(8):28-32. Li Hongzhong,Cheng Haozhong,Teng Letian,et al.A direct method for computing Hopf bifurcation point in power system[J].Proceedings of the CSEE,2006,26(8):28-32(in Chinese).
[10]
Holdniok M,Kubicek M.New algorithm for the evaluation of complex bifurcation points in ordinary differential equations[J].A Comparative Numerical Study,1984(15):261-274.
[11]
黄象鼎,曾钟钢,马亚南.非线性数值分析[M].武汉:武汉大学出版社,2000:105-109.
[12]
曹国云,刘丽霞,赵亮,等.延拓法追踪电力系统稳定模型中二维参数局部分岔边界[J].上海交通大学学报,2005,39(增刊):1-4. Cao Guoyun,Liu Lixia,Zhao Liang,et al.Continuation method to trace two-parameter local bifurcation segment in power systems electro-mechanical stability model[J].Journal of Shanghai Jiaotong University,2005,39(add):1-4(in Chinese).
[13]
魏军强.非线性分歧理论及其在电力系统中的应用[J].电网技术, 2008,32(S1):37-39. Wei Junqiang.Nonlinear bifurcation theory and its application in power system[J].Power System Technology,2008,32(S1):37-39(in Chinese).
[14]
李勇,张勇军,刘巍,等.电压稳定极限点的快速判定及其灵敏度算法[J].电网技术,2008,32(18):47-51. Li Yong,Zhang Yongjun,Liu Wei,et al.Fast determination of voltage stability critical point and its sensitivity algorithm[J].Power System Technology,2008,32(18):47-51(in Chinese).
[15]
马幼捷,张继东,周雪松.基于分岔理论的含风电场电力系统静态电压稳定问题研究[J].电网技术,2008,32(9):74-79. Ma Youjie,Zhang Jidong,Zhou Xuesong.Study on steady state voltage stability of power system containing wind farm based on bifurcation theory[J].Power System Technology,2008,32(9):74-79(in Chinese).
[16]
杜晓明,赵冬梅.改进连续潮流法追踪PV曲线[J].电网技术,2006,30(S1):278-281. Du Xiaoming,Zhao Dongmei.An improved continuation power flow tracing PV curve[J].Power System Technology,2006,30(S1):278-281(in Chinese).
[17]
陆启韶.分岔与奇异性[M].上海:科学教育出版社,1995:32.
[18]
彭志炜,胡国根,韩祯祥.电力系统平衡解流形的追踪与电压失稳分叉点的搜索[J].中国电机工程学报,1998,18(3):173-177. Peng Zhiwei,Hu Guogen,Han Zhenxiang.Tracing of the power system equilibrium solution manifold and searching for the instability bifurcation point[J].Proceedings of the CSEE,1998,18(3):173-177 (in Chinese).
[19]
Srivastava K N,Singh S N,Srivastava S C.Effect of multiple equilibrium on power system stability[J].Electric Power System Research,2000,55(3):165-172.