从平衡点到振荡
|
摘要
市场条件下重组的电力系统的运行点比以往更接近稳定极限,这促使电力工业界努力获得对于系统稳定性的更深刻的理解并开发出更加有效的稳定控制方法。本文以非线性动力学为背景,探讨了注入功率空间上电力系统潮流可行域边界的几何性质,揭示了负荷模型对小扰动电压稳定域边界分岔性质的影响,深入分析了电压振荡阻尼和互联系统低频振荡阻尼的性质与机理,同时提出了获取潮流可行域边界的可信而有效的新算法——混合法,指出了“两步法”在小扰动电压稳定域边界确定中的重要性,发展出了新的基于Prony分析的多机系统阻尼转矩系数算法。
本文首先结合优化技术与“预测-校正”思想提出了一种在二维空间计算可视化潮流可行域(Power Flow Feasibility Region, PFFR)的新算法——混合法。在将PFFR解耦为“负荷注入子空间的”以及“发电注入子空间的”的基础上,混合法被拓展到了高维空间,能够计算不同子域的“最近”或“最远”边界点。特别重要的是,通过对混合法计算结果的分析,本文发现“发电注入子空间”上的PFFR的边界在电力系统实际可能的运行范围内可以利用超平面近似。
然后,本文研究了计及动态负荷模型下的潮流可行域与小扰动电压稳定域边界的关系,发现感应电动机的存在使得系统在Fold分岔点之前就出现由于电动机滞转引起的SNB点,而这些SNB点不一定会造成系统出现电压崩溃。通过对CPF、分岔方法以及两步法的比较,本文指出对大系统而言,更精确的电压稳定极限判定中需要采用“两步法”(先由潮流解得平衡点,再做特征值分析),且当系统中拥有大量感应电动机负荷时,在“两步法”之后通过时域仿真确定所发现的SNB的性质是非常必要的。为了揭示电压失稳的单调模式与振荡模式的起因,本文在单机系统上推导了新的计及感应电动机负荷的P-H模型以及电压振荡阻尼系数γ,从理论上证明了:与纯静态负荷不同,超过一定比例的感应电动机负荷的存在可使小扰动电压稳定域的边界上只出现SNB点而不出现Hopf分岔点; 慢速励磁和大容量并联电容补偿相互作用可产生负阻尼。这些结论也在实际大系统的仿真中得到验证。
为了明确与互联系统低频振荡相关阻尼的性质与数值确定方法,本文论述了阻尼转矩系数矩阵的来源与含义,分析了现有的基于时间序列数据拟合的阻尼转矩系数算法的局限性,进而针对该局限性提出了新的基于Prony分析的电磁转矩系数算法。同时,本文还以全国联网系统为背景,提出了大区电网弱互联削弱系统阻尼、引发低频振荡的新机理,澄清了人们对机电暂态仿真中所用同步电机模型的疑虑。
Currently, the electric power utility industry in many countries is undergoing a tremendous change. Restructured power systems are expected to be operated at a greater variety of operating points and closer to their operating limits. Concerns for power system stability are prompting utilities to better understand stability problems so as to devise effective, efficient and economic solutions to the stability problems. In this dissertation an attempt is made to give deeper insights into topological characteristic of boundaries of Power Flow Feasibility Region (PFFR) and effects of load modeling on boundaries of Small Disturbance Voltage Stability Region (SDVSR), as well as the inherent meaning behind voltage oscillation damping coefficients and electromechanical oscillation damping coefficients. We propose a new boundary tracing method for PFFR and recommend two-step method for identifying SDVSR’s boundaries more precisely. A novel online identification algorithm of damping coefficients of multimachine systems is also developed. All researches in this dissertation are conducted in the background of nonlinear dynamics.
First, we decouple PFFR into two sub-regions: “Region of Load Injection Space” and “Region of Generator Injection Space”. Then a new ‘Hybrid’ method for tracing boundary of PFFR is developed by adopting the basic idea of “predictor-corrector” and combining it with optimization technique. The hybrid method is also modified to account for concave boundary situation. In the subspace of load injection, we extend the hybrid method to calculate the closest boundary point related to current operating point in high-dimension injection space. In the subspace of generation injection, a new algorithm based on the hybrid method thoughts is presented to obtain the farthest boundary point under L2 and L1 norm definition respectively. It is noted that the topologies of boundaries in these two subspaces are different, especially the boundaries of PFFR in generation injection space can be approximated by hyper-planes within possible operation scope.
Then the relationships between PFFR’s and SDVSR’s boundaries are analyzed with consideration of dynamic load models. We have observed that Saddle Node Bifurcation (SNB) points induced by stalling of motors always occur well before Fold bifurcation point and SNB does not coincide with Fold in general sense. At the same time, we point out that it is not all SNB caused by asynchronous motors stalling would lead to voltage instability and the system behavior at these SNBs depends on the system configuration and the system operating condition. After comparing CPF method, bifurcation method and two-step method, we show that two-step method is the most appropriate method for identifying precise voltage stability limit, and time domain simulations sometimes are also necessary when induction motors occupy major portion of power system’s load.
In order to reveal mechanisms of monotonic voltage instability mode and oscillatory voltage instability mode, a novel Phillips – Heffron (P-H) model based on Single Generator Single Motor system is proposed, and it is used to derive a voltage oscillation damping factor γ. Then we prove that induction motors in load buses of power systems can eliminate Hopf bifurcation points in boundary of SDVSR, and coexistence of slow-acting excitation systems and large shunt capacitor compensation will induce negative damping for voltage oscillation. All these conclusions are validated through simulations of a realistic power system. Since damping analysis is one of basic techniques in low-frequency oscillation studies, we give a series of theoretic explanation of damping torque coefficients. As the current identification algorithm of damping torque coefficient often fails when dealing with multimode oscillations, we propose a new effective algorithm based on Prony analysis and time domain data. To better understand what causes low-frequency oscillations in the interconnection of state power grid of China, we analytically compare damping torques of strong and weak connected systems. It has been shown that the relatively large impedance of tie-lines in weakly interconnected systems can greatly reduce the damping between these systems, and reinforcement of the connection between two bulk power grids is an effective way to mitigate low-frequency oscillations. At the same time, we clarify the doubt about the models of synchronous generators used in dynamic stability studies.
本文首先结合优化技术与“预测-校正”思想提出了一种在二维空间计算可视化潮流可行域(Power Flow Feasibility Region, PFFR)的新算法——混合法。在将PFFR解耦为“负荷注入子空间的”以及“发电注入子空间的”的基础上,混合法被拓展到了高维空间,能够计算不同子域的“最近”或“最远”边界点。特别重要的是,通过对混合法计算结果的分析,本文发现“发电注入子空间”上的PFFR的边界在电力系统实际可能的运行范围内可以利用超平面近似。
然后,本文研究了计及动态负荷模型下的潮流可行域与小扰动电压稳定域边界的关系,发现感应电动机的存在使得系统在Fold分岔点之前就出现由于电动机滞转引起的SNB点,而这些SNB点不一定会造成系统出现电压崩溃。通过对CPF、分岔方法以及两步法的比较,本文指出对大系统而言,更精确的电压稳定极限判定中需要采用“两步法”(先由潮流解得平衡点,再做特征值分析),且当系统中拥有大量感应电动机负荷时,在“两步法”之后通过时域仿真确定所发现的SNB的性质是非常必要的。为了揭示电压失稳的单调模式与振荡模式的起因,本文在单机系统上推导了新的计及感应电动机负荷的P-H模型以及电压振荡阻尼系数γ,从理论上证明了:与纯静态负荷不同,超过一定比例的感应电动机负荷的存在可使小扰动电压稳定域的边界上只出现SNB点而不出现Hopf分岔点; 慢速励磁和大容量并联电容补偿相互作用可产生负阻尼。这些结论也在实际大系统的仿真中得到验证。
为了明确与互联系统低频振荡相关阻尼的性质与数值确定方法,本文论述了阻尼转矩系数矩阵的来源与含义,分析了现有的基于时间序列数据拟合的阻尼转矩系数算法的局限性,进而针对该局限性提出了新的基于Prony分析的电磁转矩系数算法。同时,本文还以全国联网系统为背景,提出了大区电网弱互联削弱系统阻尼、引发低频振荡的新机理,澄清了人们对机电暂态仿真中所用同步电机模型的疑虑。
Currently, the electric power utility industry in many countries is undergoing a tremendous change. Restructured power systems are expected to be operated at a greater variety of operating points and closer to their operating limits. Concerns for power system stability are prompting utilities to better understand stability problems so as to devise effective, efficient and economic solutions to the stability problems. In this dissertation an attempt is made to give deeper insights into topological characteristic of boundaries of Power Flow Feasibility Region (PFFR) and effects of load modeling on boundaries of Small Disturbance Voltage Stability Region (SDVSR), as well as the inherent meaning behind voltage oscillation damping coefficients and electromechanical oscillation damping coefficients. We propose a new boundary tracing method for PFFR and recommend two-step method for identifying SDVSR’s boundaries more precisely. A novel online identification algorithm of damping coefficients of multimachine systems is also developed. All researches in this dissertation are conducted in the background of nonlinear dynamics.
First, we decouple PFFR into two sub-regions: “Region of Load Injection Space” and “Region of Generator Injection Space”. Then a new ‘Hybrid’ method for tracing boundary of PFFR is developed by adopting the basic idea of “predictor-corrector” and combining it with optimization technique. The hybrid method is also modified to account for concave boundary situation. In the subspace of load injection, we extend the hybrid method to calculate the closest boundary point related to current operating point in high-dimension injection space. In the subspace of generation injection, a new algorithm based on the hybrid method thoughts is presented to obtain the farthest boundary point under L2 and L1 norm definition respectively. It is noted that the topologies of boundaries in these two subspaces are different, especially the boundaries of PFFR in generation injection space can be approximated by hyper-planes within possible operation scope.
Then the relationships between PFFR’s and SDVSR’s boundaries are analyzed with consideration of dynamic load models. We have observed that Saddle Node Bifurcation (SNB) points induced by stalling of motors always occur well before Fold bifurcation point and SNB does not coincide with Fold in general sense. At the same time, we point out that it is not all SNB caused by asynchronous motors stalling would lead to voltage instability and the system behavior at these SNBs depends on the system configuration and the system operating condition. After comparing CPF method, bifurcation method and two-step method, we show that two-step method is the most appropriate method for identifying precise voltage stability limit, and time domain simulations sometimes are also necessary when induction motors occupy major portion of power system’s load.
In order to reveal mechanisms of monotonic voltage instability mode and oscillatory voltage instability mode, a novel Phillips – Heffron (P-H) model based on Single Generator Single Motor system is proposed, and it is used to derive a voltage oscillation damping factor γ. Then we prove that induction motors in load buses of power systems can eliminate Hopf bifurcation points in boundary of SDVSR, and coexistence of slow-acting excitation systems and large shunt capacitor compensation will induce negative damping for voltage oscillation. All these conclusions are validated through simulations of a realistic power system. Since damping analysis is one of basic techniques in low-frequency oscillation studies, we give a series of theoretic explanation of damping torque coefficients. As the current identification algorithm of damping torque coefficient often fails when dealing with multimode oscillations, we propose a new effective algorithm based on Prony analysis and time domain data. To better understand what causes low-frequency oscillations in the interconnection of state power grid of China, we analytically compare damping torques of strong and weak connected systems. It has been shown that the relatively large impedance of tie-lines in weakly interconnected systems can greatly reduce the damping between these systems, and reinforcement of the connection between two bulk power grids is an effective way to mitigate low-frequency oscillations. At the same time, we clarify the doubt about the models of synchronous generators used in dynamic stability studies.
引文
[1] U.S.-Canada Power System Outage Task Force. Final Report on the August 14, 2003 Blackout in the United States and Canada: Causes and Recommendations. Apr., 2004
[2] IEEE/CIGRE Joint Task Force on Stability Terms and Definitions. Definition and Classification of Power System Stability. IEEE Transaction on Power Systems, 2004, 19(3): 1387-1401
[3] 余贻鑫,王成山. 电力系统稳定性的理论与方法. 北京:科学出版社,1999
[4] T.V. Cutsem, C. Vournas. Voltage Stability of Electric Power Systems. Kluwer Academic Publishers, 1998
[5] C.W.Taylor. Power System Voltage Stability. McGraw-Hill, 1994
[6] G. Rogers. Power System Oscillation. Norwell,Ma:Kluwer, 2000
[7] IEEE Power Engineering Society Systems Oscillations Working Group. Inter-Area Oscillations in Power Systems. IEEE Publication 95 TP 101, Oct. 1994
[8] Cigré Task Force 07 of Advisory Group 01 of Study Committee 38. Analysis and Control of Power System Oscillations. Paris, Dec., 1996
[9] 余贻鑫. 电压稳定研究述评. 电力系统自动化,1999,23(21):1-8
[10] P. Kundur. Power System Stability and Control. McGraw-Hill, NY, 1993
[11] 郑肇骥等 译. 电力系统的控制与稳定. 北京:水利电力出版社. 1979
[12] P. Kundur, Lei Wang. Small Signal Stability Analysis: Experiences, Achievements, and Challenges. Proceedings of PowerCon, Kunming, Oct. 2002, 1: 13-17
[13] A.H.M.A.Rahim, A.M.Al-Shehri, A.I.J.Al-Sammak. Optimum Control Strategies for Transient as well as Oscillatory Instability of Power Systems. IEEE Transaction on Power Systems, 1993, 8(2): 491-496
[14] 余贻鑫,陈礼义. 电力系统的安全性和稳定性. 北京:科学出版社,1988
[15] 倪以信, 陈寿孙, 张宝霖. 动态电力系统的理论和分析. 北京:清华大学出版社,2002
[16] L. H. Fink, Ed. Bulk Power System Voltage Phenomena I—Voltage Stability and Security, Potosi, MO, 1988.
[17] L. H. Fink, Ed. Bulk Power System Voltage Phenomena II—Voltage Stability and Security, Deep Creek Lake, MD, 1991.
[18] L. H. Fink, Ed. Bulk Power System Voltage Phenomena III—Voltage Stability and Security, Davos, Switzerland, 1994.
[19] L. H. Fink and C. Vournas, Eds. Bulk Power Systems Dynamics and Control IV — Restructuring, Santorini, Greece, 1998.
[20] T.V.Cutsem. Voltage Instability: Phenomena, Countermeasures, and Analysis Methods. Proceedings of the IEEE,2000,88(2): 208-227
[21] C. A. Ca?izares, Ed. Voltage Stability Assessment: Concepts, Practices and Tools. IEEE/PES Power System Stability Subcommittee. Available: http://www.power.uwaterloo.ca
[22] T.J.Overbye. Effects of Load Modeling on Analysis of Power System Voltage Stability. Electrical Power & Energy Systems, 1994, 6(5): 329-338
[23] N.Yorino, H. Sasaki, Y. Masuda, et. al. An Investigation of Voltage Stability Problems. IEEE Transaction on Power Systems, 1992, 7(2): 600-611
[24] John A. Diaz de Leon II, C. W. Taylor. Understanding and Solving Short-Term Voltage Stability Problems. IEEE Power Engineering Society Summer Meeting, 2002, 2: 21-25
[25] C.C.Liu, K.T.Vu. Analysis of Tap-changer Dynamics and Construction of Voltage Stability Regions. IEEE Transactions on Circuits and Systems, 1989, 36 (4): 575-590
[26] D. J. Hill. Nonlinear Dynamic Load Models with Recovery for Voltage Stability Studies. IEEE Transactions on Power Systems, 1993, 8(1): 166-176
[27] B.W. Kennedy, R.H. Fletcher. Conservation Voltage Reduction (CVR) at Snohomish County PUD. IEEE Transactions on Power Systems, 1991, 6(2): 986-998
[28] I.Dobson, Liming Lu. Voltage Collapse Precipitated by the Immediate Change in Stability When Generator Reactive Power Limits are Encountered. IEEE Transaction on Circuits and Systems, 1992, 39(9): 762-766
[29] V. Ajjarapu, P. L. Lau, S. Battula. An Optimal Reactive Power Planning Strategy Against Voltage Collapse. IEEE Transaction on Power Systems, 1994, 9(2): 906–916
[30] R.S.Tare, P.R.Bijwe. Look-ahead Approach to Power System Loadability Enhancement. IEE Proc.-Gener. Transm. Distrib., 1997, 144(4): 357-362
[31] R.R.Zallapa, B.J.Cory. Reactive Reserve Management. IEE Proc. Gener. Transm. Distrib., 1995,142(1): 17-23
[32] Arrowsmith D K, Place C M. An Introduction to Dynamic Systems. Cambridge University Press, 1990, Cambridge
[33] 陈予恕. 非线性动力学中的现代分析方法,1992,北京:科学出版社
[34] R.Seydel. From Equilibrium to Chaos: Practical Bifurcation and Stability Analysis. 1988, New York : Elsevier
[35] Stephen Wiggins. Introduction to Applied Nonlinear Dynamical Systems and Chaos. 1990, New York : Springer-Verlag
[36] 贾宏杰. 电力系统小扰动稳定域的研究. 天津大学博士学位论文,2000
[37] M.A.Pai. Energy Function Analysis for Power System Stability. Kluwer Academic Publication, Boston, MA. 1989
[38] K.T Vu, C.C Liu. Shrinking Stability Regions and Voltage Collapse in Power Systems. IEEE Transactions on Circuits and Systems, 1992, 39(4): 271-289
[39] F.D.Galiana. Analytic Properties of the Load Flow Problem. Proc. Int. Symp. Circuits Syst. Special Session on Power Syst., 1977, pp. 802-816
[40] F.D.Galiana, K.Lee. On the Steady Stability of Power Systems. Proceedings of Power Industry Computer Applications Conference, 1977, pp.201-210
[41] F.D.Galiana, J.Jarjis. Feasibility Constraints in Power Systems. Proc. IEEE PES Summer Meeting, Los Angeles, CA, 1978, paper A 78 560-5
[42] I.Jarjis, F.D.Galiana. Quantitative Analysis of Steady State Stability in Power Networks. IEEE Transaction on Power Apparatus and Systems, 1981, PAS-100(1): 318-326
[43] F.D.Galiana, M.Banakar. Approximation formulae for dependent load flow variables. IEEE Transaction on Apparatus Syst., 1981, PAS-100(5): 1128-1137
[44] M.H.Banakar, F.D.Galiana, J.Jarjis. Security Regions in Power Networks. Proceedings of IEEE International Symposium on Circuits and Systems, 1981, 3: 750-754
[45] H.G.Kwatny, R.F.Fischl, C.O.Nwankpa. Local Bifurcation in Power Systems: Theory, Computation, and Application. Proceedings of the IEEE, 1995, 83(11): 1456-1483
[46] E.Hnyilicza, S.T.Lee, F.C.Schweppe. Steady-state Security Regions: the Set-theoretic Approach. Proc. PICA, 1975, pp.347-355
[47] R.Fischl, J.A.DeMaio. Fast Identification of the Steady-state Security Regions for Power System Security Enhancement. IEEE PES Winter Meeting, 1976
[48] P.Dersin, A.H.Levis. Feasibility Sets for Steady-state Loads in Electric Power Network. IEEE Transaction on Apparatus and Systems, 1982, PAS-101(1): 60-70
[49] F.F.Wu, Kumagai. Steady-state Security Regions of Power Systems. IEEE Transaction on Circuits and Systems, 1984, CAS-29(9): 117-139
[50] C.C. Liu. A New Method for Construction of Maximal Steady-state Security Regions of Power Systmes. IEEE Transaction on Power Systems, 1986, 4:19-27
[51] Yu Yixin, Huang Chunhua, Feng Fei. A Study on Reactive Power Steady-State Security Regions. Electrical Machines and Power Systems, 1989, 17: 155-166
[52] Yu Yixin, Feng Fei. Active Power Steady-state Security Regions of Power Systems. Science in China, 1990,series A: 664-672
[53] Y.V.Makarov, I.A.Hiskens. A Continuation Method Approach to Finding the Closest Saddle Node Bifurcation Point. In Proc. NSF/ECC Workshop Bulk Power System Voltage Phenomena III, Davos, Switzerland, 1994
[54] I.A.Hiskens, Y.V.Makarov. Calculation of power system critical loading conditions. Proceeding of Electrical Engineering Congress, Sydney, 1994:185-190
[55] Y. V. Makarov, David J. Hill, Zhao-Yang Dong. Computation of Bifurcation Boundaries for Power Systems: A New ?-Plane Method. IEEE Transaction on Circuits and Systems, 2000, 47(4): 536-544
[56] G.B.Price. A Generalized Circle Diagram Approach for Global Analysis of Transmission System Performance. IEEE Transaction on Power Apparatus and Systems, 1984, PAS-103(10): 2881-2890
[57] I.A.Hiskens, R.J. Davy. A Technique for Exploring the Power Flow Solution Space Boundary. In Proc. Int. Symp. Electric Power Engineering Stockholm Power Tech., Stockholm, Sweden, 1995, pp.478-483
[58] I.A.Hiskens, R.J. Davy. Exploring the Power Flow Solution Space Boundary. IEEE Transaction on Power Systems, 2001, 16(3): 389-395
[59] R.Fischl. Decision Support Framework for evaluating Voltage Criteria. In Proc. Bulk Power Voltage Phenomena-Voltage Stability and Security, Potosi, MO, 1988, pp. 7.59-7.109
[60] J.Zaborszky, V.Venkatasubramanian, H.Schattler, et.al. Application of Taxonomy Theory Volume 1: Computation A Hopf Bifurcation-related Segment of the Feasibility Boundary. EPRI Final Report, TR-105492-V1, 1995
[61] V.Venkatasubramanian, H.Schattler, J.Zaborszky. Dynamics of Large Constrained Nonlinear Systems-A Taxonomy Theory. Proceedings of the IEEE, 1995, 83(11): 1530-1561
[62] V.Venkatasubramanian, H.Schattler, J.Zaborszky. A Taxonomy of the Dynamics of the Large Electric Power System with Emphasis on its Voltage Stability. In Proc. NSF Int. Workshop on Bulk Power Syst. Voltage Phenomena-II, 1991, pp. 9-52
[63] V.Venkatasubramanian, X.Jiang, H.Schattler, J.Zaborszky. On the Dynamics of Large Nonlinear Systems with Saturation on Signals and States. Proceedings of the 34th IEEE Conference on Decision and Control, 1995, 4: 3477 – 3478
[64] V.Venkatasubramanian, H.Schattler, J.Zaborszky. A Stability Theory of Large Differential Algebraic Systems – A Taxonomy. Report SSM 9201 – Part 1, Dept. Syst. Sci. and Mathematics, Washington Univ., School of Eng. And Applied Sci., St. Louis, MO
[65] V.Venkatasubramanian, X.Jiang, H.Schattler, J.Zaborszky. Current Status of the Taxonomy Theory of Large Power System Dynamics: DAE Systems with Hard Limits. In Proc. NSF Int. Symp. On Bulk Power Systems Phenomena: Voltage Stability and Security III, Davos, Switzerland, 1994, pp.15-103
[66] D.V. Anosov, V.I.Arnold, Eds. Encyclopedia of Mathematics, Vol. 1: Ordinary Differential Equations and Smooth Dynamical Systems, New York: Springer-Verlag, 1980
[67] J.Guckenheimer, P.Homes. Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields. New York: Springer-Verlag, 1983
[68] Yu Yixin, Jia Hongjie, Wang Chengshan. Chaotic Phenomena and Small Signal Stability Region of Electrical Power Systems. SCIENCE IN CHINA (Series E), 2001, 44(2): 187-199
[69] 贾宏杰,余贻鑫,王成山. 考虑励磁顶值与 PSS 的混沌和分岔现象. 电力系统自动化,2001, 25(1): 11-14
[70] 贾宏杰,余贻鑫,李鹏. 电力系统环面分岔与混沌现象. 中国电机工程学报,2002,22(8): 6-10
[71] 贾宏杰,余贻鑫,李鹏,宿吉峰. 电力系统混沌现象与不同失稳模式之间的关系. 中国电机工程学报,2003,23(2): 1-4
[72] F.L.Alvarodo, T.H.Jung. Direct Detection of Voltage collapse Mechanisms. in Proc. Bulk Power Voltage Phenomena, Potosi, Mo, Sept. 1988
[73] V.Ajjarappu, C.Christy. The Continuation Power Flow: A Tool for Steady State Voltage Stability Analysis. in IEEE PICA Conf. Proc., May 1991, pp. 304-311
[74] K.Kim, H.Schattler, V.Venkatasubramanian, J.Zaborszky, P.Hirsch. Methods for Calculating Oscillations in Large Power Systems. IEEE Transactions on Power Systems, 1997, 12(4): 1639-1648
[75] Y.V. Makarov, Zhao Yang Dong, D.J. Hill. A General Method for Small Signal Stability Analysis. IEEE Transaction on Power Systems, 1998, 13(3): 979-985
[76] Zhao Yang Dong. Advanced Methods for Small Signal Stability Analysis and Control in Modern Power Systems. Ph. D dissertation, The University of Sydney, 1998
[77] Yuan Zhou, Ajjarapu, V. Identification and Tracing of Voltage and Oscillatory Stability Margins. IEEE Power Engineering Society Winter Meeting, 2002, 1:27-31
[78] Yuan Zhou. Manifold Based Voltage Stability Boundary Tracing, Margin Control Optimization and Time Domain Simulation. Ph.D dissertation, Iowa State University, 2001
[79] F. F. Wu, Y. K. Tsai, Y. X. Yu. Probabilistic Steady-State and Dynamic Security Assessment. IEEE Transactions on Power Systems, 1988, PWRS-3 (1): 1~9
[80] R. J. Kaye, F. F. Wu. Dynamic Security Regions of Power Systems. IEEE Transactions on Circuits and Systems, 1982, CAS-29 (9): 612~623
[81] 杨卫. 多机电力系统的概率动态安全性估计. 硕士学位论文, 天津大学, 1987
[82] 余贻鑫, 栾文鹏. 利用拟合技术决定实用电力系统动态安全域. 中国电机工程学报, 1990, 10 (增刊): 22~28
[83] 余贻鑫, 栾文鹏. 电力系统动态安全域的研究. 电力系统及其自动化学报, 1990, 2 (1): 11~21
[84] Y. X. Yu and F. Feng. A Study on Dynamic Security Regions of Power Systems. Proceedings of International Conference on PES, Beijing China, 1991
[85] 冯飞, 余贻鑫. 电力系统功率注入空间的动态安全域. 中国电机工程学报, 1993, 13 (3): 14~22
[86] 冯飞, 余贻鑫, 林济铿. 网络拓扑与 I 型相关不稳定平衡点的定量关系. 电力系统及其自动化学报, 1994, 6 (4): 1~12
[87] 余贻鑫,曾沅,冯飞. 电力系统注入空间动态安全域的微分拓扑特性. 中国科学 E 辑,2002,32(4): 503-509
[88] 余贻鑫, 林济铿. 电力系统动态安全域边界的实用解析表示. 天津大学学报, 1997, 30 (1): 1~8
[89] 林济铿, 余贻鑫. 基于混合决策树——人工神经网络的电力系统动态安全评价. 中国电机工程学报, 1996, 16 (6): 378~383
[90] 余贻鑫,曾沅. 电力系统动态安全域的实用解法. 中国电机工程学报, 2003, 23(5): 24-28
[91] V.A. Venikov, V.A. Stroev, V.I. Idelchick, et. al. Estimation of Electrical Power System Steady-state Stability in Load Flow Calculations. IEEE Transactions on Power Apparatus and Systems, 1975, PAS-94(3): 1034-1041
[92] Y.Tamure, H.Mori, S.Iwamoto. Relationship Between Voltage Instability and Multiple Load Flow Solutions in Electric Power Systems. IEEE Transaction on Power Systems, 1983, 102(5): 1115-1123
[93] Zhihong Feng, Venkataramana Ajjarapu, Bo Long. Identification of Voltage Collapse Through Direct Equilibrium Tracing. IEEE Transaction on Power Systems, 15(1): 2000
[94] M.A.Pai, P.W.Sauer, B.C.Lesieutre. Static and Dynamic Nonlinear Loads and Structural Stability in Power Systems. Proceedings of the IEEE, 1995, 83(11): 1562-1572
[95] I.Dobson, H.D.Chiang. Towards a Theory of Voltage Collapse in Electric Power Systems. Systems & Control Letters, 1989, 13(3): 253-262
[96] H.D.Chiang, I.Dobson, R.J.Thomas, et. al. On Voltage Collapse in Electric Power Systems. IEEE Transactions on Power Systems, 1990, 5(2): 601-611
[97] I.Dobson. Observation on the Geometry of Saddle Node Bifurcation and Voltage Collapse in Electrical Power Systems. IEEE Transaction on Circuits and Systems-I, 1992, 39(3): 240-243
[98] M.M.Begovic, A.G.Phadke. Dynamic Simulation of Voltage Collapse. IEEE Transaction on Power Systems, 1990, 5(1): 198-203
[99] V.Ajjarapu, B.Lee. Bifurcation Theory and its Application to Nonlinear Dynamical Phenomena in an Electrical Power System. IEEE Transaction on Power Systems, 1992, 7(1): 424-431
[100] C.A.Ca?izares. On Bifurcation, Voltage Collapse and Load Modeling. IEEE Transaction on Power Systems, 1995, 10(1): 512-522
[101] C.Rajagopalan, B.Lesieutre, P.W.Sauer, M.A.Pai. Dynamic Aspects of Voltage/Power Characteristics. IEEE Transaction on Power Systems, 1992, 7(3): 990-1000
[102] N.Yorino, H.Sasaki, Y.Masuda, et. al. An Investigation of Voltage Instability Problems. IEEE Transaction on Power Systems, 1992, 7(2): 600-611
[103] A.Gebreselassie, J.H.Chow. Investigation of the Effects of Load Models and Generator Voltage Regulators on Voltage Stability. Electrical Power & Energy Systems, 1994, 16(2): 83-89
[104] W.D.Rosehart, C.A. Ca?izares. Bifurcation Analysis of Various Power System Models. Electrical Power & Energy Systems, 1999, 21(1): 171-182
[105] K.G.Rajesh, K.R.Padiyar. Bifurcation Analysis of a three Node Power System with Detailed Models. Electrical Power & Energy Systems, 1999, 21(2): 375-393
[106] Chin-Woo Tan, M.Varghese, P.Varaiya, F.F.Wu. Bifurcation, Chaos, and Voltage Collapse in Power Systems. Proceedings of the IEEE, 1995, 83(11): 1484 – 1496
[107] H.O.Wang, E.H.Abed, A.M.A.Hamdan. Bifurcations, Chaos, and Crises in Voltage Collapse of a Model Power System. IEEE Transaction on Circuits and Systems I, 1994, 41(4): 294 – 302
[108] E.H.Abed, H.O.Wang, A.M.A.Hamdan, et. al. Dynamic Bifurcations in a Power System Model exhibiting Voltage Collapse. International Journal of Bifurcation and Chaos, 1993, 3(5): 1169-1176
[109] 薛禹胜, 周海强 等. 电力系统分岔与混沌研究述评. 电力系统自动化,2002, 26(16): 9-15
[110] C.A. Ca?izares. Conditions for Saddle-Node Bifurcations in AC/DC Power System. Electrical Power & Energy System, 1995, 17(1): 61-68
[111] 王梅义,吴竞昌,蒙定中. 大电网系统技术. 北京:中国电力出版社,1995
[112] 韩祯祥. 电力系统稳定. 北京:中国电力出版社,1995
[113] 袁季修. 电力系统安全稳定控制. 北京:中国电力出版社,1996
[114] T.V. Cutsem, V.Jacquemart, J.N.Marquet, et al. A Comprehensive Analysis of Mid-term Voltage Stability. IEEE Transaction on Power Systems, 1995, 10(3): 1173-1182
[115] T.V. Cutsem, C.D.Vournas. Voltage Stability Analysis in Transient and Mid-term Time Scales. IEEE Transaction on Power Systems, 1996, 11(1): 146-154
[116] T.V. Cutsem, C. Moisse, R. Mailhot. Determination of Secure Operating Limits with Respect to Voltage Collapse. IEEE Transactions on Power Systems, 1999, 14(2): 327-335.
[117] Morison K, Yirga S. System Disturbance Stability Studies for WSCC. In EPRI Final Report TR-108256, 1997, 2-11
[118] C.D. Vournas, T.V. Cutsem. Voltage Oscillations with Cascaded Load Restoration. IEEE/KTH Stockholm Power Tech Proceedings (Power Systems), 1995, 173-178
[119] K.L.Praprost, K.A.Loparo. An Energy Function Method for Determining Voltage Collapse During a Power System Transient. IEEE Transaction on Circuits & Systems, 1994, 41(10): 635-651
[120] I.A,Hiskens, D.J.Hill. Energy Functions, Transient Stability and Voltage Behavior in Power Systems with Nonlinear Loads, IEEE Transaction on Power Systems, 1989, 4(4): 1525-1533
[121] 吴浩. 电力系统电压稳定研究. 浙江大学博士学位论文,2002.10
[122] C.L.DeMaco, T.J.Overbye. An Energy Based Security Measure for Assessing Vulnerability to Voltage Collapse. IEEE Transaction on Power Systems, 1990, 5(2): 419-427
[123] W.Xu, Y.Mansour. Voltage Stability Analysis Using Generic Dynamic Load Models. IEEE Transactions on Power Systems, 1994, 9(1): 479 – 493
[124] A.Borghetti, R.Caldon, A. Mari, C.A.Nucci. On Dynamic Load Models for Voltage Stability Studies. IEEE Transactions on Power Systems, 1997, 12(1): 293-303
[125] K. Walve. Modelling of Power System Components at Severe Disturbance. International Conference on Large High Voltage Electric Systems, 1986, pp. 38. 18. 1-38. 18. 9
[126] D. Karlsson, D.J. Hill. Modeling and Identification of Non-linear Dynamic Loads in Power Systems. IEEE Transactions on Power Systems, 1994, 9(1): 157-166.
[127] IEEE Task Force. Standard Load Models for Power Flow and Dynamic Performance Simulation. IEEE Transactions on Power Systems, 1995, 10(3): 1302-1313
[128] S.G. Casper, C.O. Nwankpa. Bibliography on Load Models for Power Flow and Dynamic Performance Simulation. IEEE Transactions on Power Systems, 1995, 10(1): 523-538
[129] CIGRE Task Force 38.02.10. Criteria and Countermeasures for Voltage Collapse. CEGRE, Oct., 1995
[130] CIGRE Task Force 38.08. Protection Against Voltage Collapse. Edited by D.Karlsson, CIGRE, 21 rue d’Artois-F-750008 PARIS
[131] CIGRE Task Force 38.02.10. Cigré Technical Brochure: Modeling of Voltage Collapse including Dynamic Phenomena. ELECTRA No.147, 1993
[132] A.Kurita, T.Sakurai. The Power System Failure on July 23, 1987 in Torkyo. Proceedings of the 27th Conference on Decision and Control, Texas, Dec. 1988
[133] K.T.Vu, Liu Chen-Ching, C.W.Taylor, K.M.Jimma. Voltage Instability: Mechanisms and Control Strategies. Proceedings of the IEEE, 1995, 83(11): 1442 -1455
[134] Hiroshi Ohtsuki, Akihiko Yokoyama, Yasuji Sekine. Reverse Action of On-load Tap Changer in Association with Voltage Collapse. IEEE Transactions on Power Systems, 1991, 6(2): 300-306
[135] 段献忠,何仰赞,陈德树. 有载调压变压器与电压稳定性关系的动态分析. 电力系统自动化,1995,19(1): 14-19
[136] 孙元章,王志芳. OLTC 仿真模型及其对电压无功稳定性的影响. 电力系统自动化,1998,22(5): 10-13
[137] 彭志炜,胡国根,韩祯祥. 有载调压变压器对电力系统电压稳定性影响的动态分析. 中国电机工程学报,1999,19(2): 61-65
[138] M.A.Pai, M.G.Grady. Voltage Collapse Analysis with Reactive Generation and Voltage Dependent Load Constraints. Electric Machines and Power Systems, 1989, 17: 379-390
[139] K.T.Vu, C.C.Liu. Dynamic Mechanisms of Voltage Collapse. Systems and Control Letters, 1990, 15: 329-338
[140] T.V. Cutsem. A Method to Compute Reactive Power Margins with Respect to Voltage Collapse. IEEE Transaction on Power Systems, 1991, 6:1196-1202
[141] C.R. Mummert. Excitation System Limiter Models for Use in System Stability Studies. Proceedings of the 1999 PES Winter Meeting, 1999, New York, pp. 187-192.
[142] Voltage Stability of Power Systems: Concepts, Analytical Tools and Industry Experience. IEEE Special Publication, 90TH0358-2-PWR, 1990.
[143] N.Flatabo, R.Ognedel, T.Carlsen. Voltage Stability Condition in a Power Transmission Systems Calcultated by Sensitivity Methods. IEEE Transaction on Power Systems, 1990, 5(4): 1286-1293
[144] 周双喜,姜勇,朱凌志. 电力系统电压静态稳定性指标评述. 电网技术,2001,25(1): 3-7
[145] S.Greene, I. Dobson, F. L. Alvarado. Sensitivity of the Loading Margin to Voltage Collapse with Respect to Arbitrary Parameters. IEEE Transaction on Power Systems, 1997, 12(1): 262-272
[146] P.A. Lof, G.Anderson, D.J.Hill. Voltage Stability Indices for Stressed Power Systems. IEEE Transaction on Power Systems, 1993,8(1): 326-335
[147] 陈浩忠,祝达康,张焰. 临近电压崩溃点处的系统最优控制方向. 电力系统自动化,1999,23(21): 29-31
[148] A.O.Ekwue, H.B.Wan, D.T.Y. Cheng, Y.H.Song. Singular Value Decomposition Method for Voltage Stability Analysis on the National Grid System (NGC). Electrical Power & Energy System, 1999, 21: 425-432
[149] Y.H.Song, C.T.Pan, W.W.Lin. Fast Calculation of a Voltage Stability Index of Power System. IEEE Transaction on Power Systems, 1997, 12(4): 1555-1560
[150] C.A. Ca?izares, A.C.Z. de Souza, V.H.Quintana. Comparison of Performance Indices for Detection of Proximity to Voltage Collapse. IEEE Transaction on Power Systems, 1996, 11(3): 1441-1450
[151] B. Gao, G.K.Morison, P. Kundur. Voltage Stability Evaluation using Modal Analysis. IEEE Transaction on Power Systems, 1992, 7(4): 1529-1542
[152] M.Suzuki, S.Wada, M.Sato, et. al. Newly Developed Voltage Security Monitoring System. IEEE Transaction on Power Systems, 1992, 7(3): 965-972
[153] T.J.Overbye, C.L.Demaco. Voltage Security Enhancement using Energy based Sensitivities. IEEE Transaction on Power Systems, 1991, 6(3): 1196-1202
[154] T.J.Overbye, C.L.Demaco. Improved Techniques for Power System Voltage Stability Assessment using Energy Methods. IEEE Transaction on Power Systems, 1991, 6(4): 1446-1452
[155] T.J.Overbye. Use of Energy Methods for On-line Assessment of Power System Voltage Security. IEEE Transaction on Power Systems, 1993, 8(2): 452-458
[156] T.J.Overbye, I. Dobson, C.L.Demaco. Q-V Curve Interpretations of Energy Measures for Voltage Security. IEEE Transaction on Power Systems, 1994, 9(1): 331-340
[157] P. Kessel. H.Glavitsch. Estimating the Voltage Stability of a Power System. IEEE Transactions on Power Delivery, PWRD-1(3): 346-354
[158] 余贻鑫,贾宏杰,严雪飞,等. 可准确追踪鞍节分岔的改进局部电压稳定指标LI. 电网技术,1999,23(5): 19-23
[159] C.A. Ca?izares, N. Mithulananthan, A. Berizzi, J.Reeve. On the Linear Profile of Indices for the Prediction of Saddle-node and Limit-induced Bifurcation Points in Power Systems. IEEE Transactions on Circuits and Systems I, 2003, 50(12): 1588-1595
[160] C.A. Ca?izares, N. Mithulananthan, F. Milano. Linear Performance Indices to Predict Oscillatory Stability Problems in Power Systems. IEEE Transactions on Power Systems, 2004, 19(2): 1104-1114
[161] I.Dobson, F.Alvarado, C.L.DeMarco. Sensitivity of Hopf Bifurcation to Power System Parameters. Proceedings of the 31st Conference on Decision and Control, Artzona, 1992, pp. 2928-2993
[162] P.Kundur, D.Y.Wong, G.J.Rogers. Extended Transient-Midterm Stability Package: User’s Manual. EPRI EL-6648, 1989
[163] L.Loud, P.Rousseaux, D.Lefbvre, T.V.Cutsem. A Time-Scale Decomposition-Based Simulation Tool for Voltage Stability Analysis. Proceedings of IEEE Power Tech Conference, Portugal, 2001
[164] P. Rousseaux, T.V.Cutsem. Fast Small-Disturbance Analysis of Long-term Voltage Stability. Proceedings of the 12th Power Systems Computation Conference, 1996, 1(1): 295-302
[165] 顾群,徐泰山,陈怡等. 中期电压稳定的建模与快速仿真. 电力系统自动化,1999,23(21): 25-28
[166] 张尧,宋文南,贺家李. 临界电压稳定极限的潮流和静稳极限算法. 中国电机工程学报,1994,14(6): 17-23
[167] 李国庆. 基于连续型方法的大型互联电力系统区域间输电能力的研究. 天津大学博士学位论文,1998
[168] I.Dobson, Lu Liming. A Direct Method for Computing a Closest Saddle Node Bifurcation in the Load Power Parameter Space of an Electric Power System. IEEE International Symposium on Circuits and Systems, 1991, 5: 3019-3022
[169] I.Dobson, Lu Liming. New Methods for Computing a Closest Saddle Node Bifurcation and Worst Case Load Power Margin for Voltage. IEEE Transactions on Power Systems, 1993, 8(3): 905-913
[170] F. Alvarado, I. Dobson, Y. Hu. Computation of Closest Bifurcations in Power Systems. IEEE Transactions on Power Systems, 1994, 9(2): 918-928
[171] 宿吉锋,余贻鑫,贾宏杰等. 电力大系统电压稳定可行域可视化初探. 电力系统自动化,1999,25(22): 1-5
[172] Jifeng Su, Yixin Yu, Hongjie Jia, et. al. Visualization of Voltage Stability Region of Bulk Power System. International Conference on Power System Technology, Oct. 2002, 3: 1665 – 1668
[173] 王成山,许晓菲,余贻鑫等. 基于割集功率空间上的静态电压稳定域局部可视化方法. 中国电机工程学报,2004,24(9): 13-18
[174] 王成山,许晓菲,余贻鑫等. 电力系统电压稳定域的局部可视化描述及其应用. 中国电机工程学报,2004, 24(3): 1-5
[175] 余贻鑫. 安全域的方法学及实用性结果. 天津大学学报,2003,36(5): 525-528
[176] S.Abe, N.Hamada, A.Isono, et. al. Load Flow Convergence in the Vicinity of a Voltage Instability Limit. IEEE Transaction on Power Apparatus & Systems, 1978, PAS-97(6): 1983-1993
[177] F. D. Galiana. Load Flow Feasibility and the Voltage Collapse Problem. In Proc. 23rd Conf. on Decision and Control, Dec. 1984, pp.485-487
[178] 王锡凡. 现代电力系统分析. 北京:科学出版社,2003
[179] K.S.Shah, G.R.Berube, R.E.Beaulieu. Testing and Modelling of the Union Electric Generator Excitation Systems. Missouri Valley Electric Association Engineering Conference, Kansas City, Apr., 1995
[180] D.N.Kosterev, C.Taylor, W.A.Mittelstadt. Model Validation for the August 10,1996 WSCC System Outage. IEEE Transaction on Power Systems, 1999, 14(3): 967-979
[181] D.N.Losterev, W.A.Mittelstadt, M.Viles, et. al. Model Validation and Analysis of WSCC System Oscillations Following Alberta Separation on August 4, 2000. Final Report By Bonneville Power Administration and BC Hydro, 2001
[182] Guoping Liu, Zheng Xu, Ying Huang, Wulue Pan. Analysis of Inter-area Oscillations in the South China Interconnected Power System. Electric Power Systems Research, 2004, 70:38-45
[183] 毛晓明,吴小辰. 南方交直流并联电网运行问题分析. 电网技术,2004,28(2): 6-13
[184] 肖晋宇,谢小荣,胡志祥,韩英铎. 电力系统低频振荡在线辨识的改进 Prony 算法. 清 华大学学报(自然科学版),2004,44(7): 883-887
[185] 朱方,汤涌,张东霞,张文朝. 我国交流互联电网动态稳定性问题的研究及解决策略. 国家电网公司电力系统稳定工作研讨会论文集,2004,pp. 14-20
[186] Powertech Labs Inc. System Disturbance Stability Studies for Western System Coordinating Council (WSCC). EPRI Report TR-108256, 1997
[187] 余耀南著,何大愚,刘肇旭,周孝信译. 动态电力系统. 水利电力出版社,1983
[188] Xiaoqing Yang, A. Feliachi, R.Adapa. Damping Ehnancement in the Western U.S. Power System: A Case Study IEEE Transaction on Power Systems, 1995, 10(3): 1271-1278
[189] Y.Mansour. Application of Eignanalysis to the Western North American Power System. IEEE Tutorial, Publication # 90TH029-3-PWR, pp. 97-100
[190] E.H.Abed, P.Varaiya. Nonlinear Oscillations in Power Systems. Electric Power and Energy System, 1984, 6(1):37～43
[191] N.Mithulananthan. Hopf Bifurcation Control and Indices for Power System with Interacting Generator and FACTS Controllers. Ph.D dissertation, University of Waterloo, 2002
[192] Y.V.Makarov, V.A.Maslennikov, D.J.Hill. Calculation of Oscillatory Stability Margin in the Space of Power System Controlled Parameters. Proceedings Stockholm Power Tech, Stockholm, 1995, pp. 416-421
[193] 刘洪波, 邓集祥. 多机电力系统非线性振荡的研究. 中国电机工程学报,2002,22(10): 67-70
[194] 张芳, 邓集祥. 电力系统在一种极限运行状态下的稳定性分析. 电力系统自动化,2002,26(24): 18-21
[195] V.Vittal, N.Bhatia, A.A.Fouad. Analysis of the Inter-area mode Phenomena in Power Systems Following Large Disturbances. IEEE Transaction on Power Systems, 1991, 6(4): 1515-1521
[196] J.Thapar, V. Vittal, W. Kliemann, et. al. Application of the Normal Form of Vector Fields to Predict Interarea Separation in Power System. IEEE Transaction on Power Systems, 1997, 12(2): 844-850
[197] E. Barocio, A.R.Messina. Application of Perturbation Methods to the Analysis of Low Frequency Inter-area Oscillations. Proceedings of the IEEE Power Engineering Society Transmission and Distribution Conference, 2000, 3: 1845-1850
[198] 徐东杰,贺仁睦,胡国强等. 正规形方法在互联电网低频振荡分析中的应用. 中国电机工程学报,2004,24(3): 18-23
[199] 邓集祥,华瑶,韩雪飞. 大干扰稳定中低频振荡模式的作用研究. 电机工程学报,2003,23(11): 60-64
[200] X.Jiang, H. Schattler, J. Zaborszky. Hard Limit Induced Oscillations. Proceedings of IEEE International Symposium on Circuits and Systems, 1995, 1: 146-150
[201] M.Klein, G.J.Rogers, P.Kundur. A Fundamental Study of Inter-area Oscillations in Power Systems. IEEE Transaction on Power Systems, 1991, 6(3): 914-921
[202] A.R. Messina, M. Ochoa, E. Barocio. Use of Energy and Power Concepts in the Analysis of the Inter-area Mode Phenomenon. Electric Power Systems Research, 2001, 59: 111–119
[203] C.Jing, J.D.McCalley, M.Kommareddy. An Energy Approach to Analysis of Interarea Oscillations in Power Systems. IEEE Transaction on Power Systems, 1996, 11(2): 734-740
[204] 王铁强,贺仁睦,王卫国. 电力系统低频振荡机理的研究. 中国电机工程学报,2002,22(2): 21-25
[205] de Oliveria, E. M. Sebatiao. Effect of Excitation Systems and of Power System Stabilisers on Synchronous Generator Damping and Synchronising Torques. IEE Proceedings, Part C: Generation, Transmission and Distribution, 1989, 136(5): 264-270
[206] de Oliveria, E. M. Sebatiao. Synchronizing and Damping Torque Coefficients and Power System Steady-state Stability as Affected by Static VAR Compensators. IEEE Transactions on Power Systems, 1994, 9(1): 109-119
[207] P. Pourbeik, M. J. Gibbard. Simultaneous Coordination of Power System Stabilizers and FACTS Device Stabilizers in a Multimachine Power System for Enhancing Dynamic Performance. IEEE Transactions on Power Systems, 1998, 13(2): 473-479
[208] P. Pourbeik, M. J. Gibbard. Damping and Synchronizing Torques Induced on Generators by FACTS Stabilizers in Multimachine Power Systems. IEEE Transactions on Power Systems, 1996, 11(4): 1920-1925
[209] E.Z.Zhou. Power Oscillation Flow Study of Electric Power Systems. International Journal of Electrical Power and Energy System, 1995, 17(2): 143-150
[210] Fan Lingling, Ali Feliachi. Damping Enhancement by TCSC in the Western U.S. Power System. Proceedings of the IEEE Power Engineering Society Transmission and Distribution Conference, 2002, 1: 550-555
[211] 肖晋宇. 基于 PMU/WAMS 的互联电网广域阻尼控制研究. 清华大学博士学位论文,2004
[212] L. Wang, C.Y. Chung. Increasing Power Transfer Limits at Interfaces Constrained by Small-Signal Stability. Presented at IEEE PES Winter Meeting Panel Session on Recent Applications of Small Signal Analysis Techniques, New York, January 2002.
[213] Fernando Alvarado, Chris DeMarco, Ian Dobson, Pete Sauer. Avoiding and Suppressing Oscillations. Pserc Final Report, 1999. Available: http://www.pserc.wisc.edu
[214] A.A. Perleberg, E Silva, Aguinaldo Silveira. Avoiding Hopf Bifurcations in Power Systems via Set-points Tuning. IEEE Transactions on Power Systems, 2004, 19(2): 1076-1084
[215] R. Witzmann. Damping of Interarea Oscillations in Large Interconnected Power Systems. International Conference on Power Systems Transients, 2001
[216] Aleksandar I. Zecevic, Dejan M. Miljkovic. The Effects of Generation Redispatch on Hopf Bifurcations in Electric Power Systems. IEEE Transaction on Circuits and Systems I, 2002, 49(8): 1180-1186
[217] I.Dobson. Distance to Bifurcation in Multidimensional Parameter Space: Margin Sensitivity and Closest Bifurcations. Chapter 3 in Bifurcation control, theory and application. Springer Verlag, 2003
[218] William Rosehart. Stability Analysis of Detailed Power System Models. M.A.Sc. Dissertation, University of Waterloo, 1997
[219] André Arthur Perleberg Lerm, Claudio A. Ca?izares, Aguinaldo Silveira e Silva. Multiparameter Bifurcation Analysis of the South Brazilian Power System. IEEE Transaction on Power Systems, 2003, 18(2): 737-746
[220] Wen-Shiow Kao. The Effect of Load Models on Unstable Low-Frequency Oscillation Damping in Taipower System Experience w/wo Power System Stabilizers. IEEE Transaction on Power Systems, 2001, 16(3): 463-472
[221] H. G. Kwatny, A.K. Pasrija, L. Y. Bahar. Static Bifurcations in Electric Power Networks: Loss of Steady-State Stability,and Voltage Collapse. IEEE Transaction on Circuits and Systems, 1986, CAS-33(10): 981-991
[222] H.D.Chiang, A.J.Flueck, K.S.Shah, et. al. CPFLOW: A Practical Tool for Tracing Power System steady-state Stationary Behavior due to Load and Generation Variations. IEEE Transaction on Power Systems, 1995, 10(2): 623-634
[223] K.Iba, H.Suzuki, M.Egawa, et. al. Calculation of Loading Condition with Nose Curve Using Homotopy Continuation Method. IEEE Transaction on Power Systems, 1991, 6(2): 584-593
[224] C.A. Ca?izares, F.L. Alvarado, C.L DeMarco, I. Dobson, F.W. Long. Point of Collapse Methods Applied to AC/DC Power Systems. IEEE Transactions on Power Systems, 1992, 7(2): 673-683
[225] 薛禹胜. 电力市场稳定性与电力系统稳定性的相互影响. 电力系统自动化,2002,26(21): 1-6
[226] W.Rosehart. Power System Optimization with Voltage Stability Constrains. IEEE Power Engineering Society Summer Meeting, 1998, pp.14-19
[227] W.Rosehart, C.A. Ca?izares, V.H. Quintana. Optimal Power Flow Incorporating Voltage Collapse Constraints. Proceedings of IEEE Power Engineering Society Summer Meeting, 1999, pp.820-825
[228] G.D.Irisarri, X.Wang, J.Tong, et. al. Maximum Loadability of Power Systems Using Interior Point Nonlinear Optimization Method. IEEE Transaction on Power Systems, 1997, 12(1): 162-172
[229] T.J.Overbye. A Power Flow Measure for Unsolvable Cases. IEEE Transactions on Power Systems, 1994, 9(3): 1359-1365
[230] J.N.Franklin. Matrix Theory. New Jersey: Prentice-Hall, Inc. 1968
[231] R.S.Tare, P.R.Bijwe. Look-ahead Approach to Power System Loadability Enhancement. IEE Proceedings, Part C: Generation, Transmission and Distribution, 1997, 144(4): 357-362
[232] Ronghai Wang, R. H. Lasseter. Re-Dispatching Generation to Increase Power System Security Margin and Support Low Voltage Bus. IEEE Transaction on Power Systems, 2000, 15(2): 496-501
[233] P.W.Sauer, M.A. Pai. Power System Steady-state Stability and the Load-flow Jacobian. IEEE Transaction on Power Systems, 1990, 5(4): 1374-1383
[234] T.V.Cutsem. Voltage Collapse Mechanism: a Case Study. Proceedings of Bulk Power System Voltage Phenomena II, Maryland, USA, 1991, pp. 85-101
[235] I.Dobson. The Irrelevance of Load Dynamics for the Loading Margin to Voltage Collapse and its Sensitivities. Proceedings of Bulk Power System Voltage Phenomena III, Switzerland, 1994, pp. 15-25
[236] E. Bompard, E. Carpaneto, G. Chicco, et al. A Dynamic Interpretation of the Load-flow Jacobian Singularity for Voltage Stability Analysis. International Journal of Electrical Power & Energy Systems, 1996, 18(6): 385-395
[237] M.K.Pal. Voltage Stability Conditions Considering Load Characteristics. IEEE Transactions on Power Systems, 1992, 7(1): 243-249
[238] 包黎昕,段献忠,何仰赞. 状态空间中电压稳定性的动态分析. 中国电机工程学报, 2001, 21(5): 17-22
[239] C.D Vournas, G.A Manos. Modelling of Stalling Motors during Voltage Stability Studies. IEEE Transactions on Power Systems, 1998, 13(3): 775-781
[240] D.C.Franklin, A.Morelato. Improving Dynamic Aggregation of Induction Motor Models. IEEE Transactions on Power Systems, 1994, 9(4):1934-1941
[241] Vournas C D, Pai M A. The Effect of Automatic Voltage Regulation on the Bifurcation Evolution in Power Systems. IEEE Transactions on Power Systems, 1996, 11(4):1683-1688.
[242] F.P.deMello, C.Concordia. Concepts of Synchronous Machine Stability as Affected by Excitation Control. IEEE Transactions on Apparatus & Systems, 1969, PAS88(4): 189-202
[243] 刘宪林,柳棹. 考虑阻尼绕组作用的单机无穷大系统线性化模型. 中国电机工程学报,2000,20(10): 41-45
[244] C.D. Vournas, N.D. Krassas. Voltage Stability as Affected by Static Load Characteristics. IEE Proceedings, Part C: Generation, Transmission and Distribution, 1993, 140(3): 221-228
[245] Zheng Xu, Yixin Yu. Maximum Loadability of Generator-Induction Motor Systems Restricted by Voltage Stability. Proceedings of the International Conference on Electrical Engineering, Matsue, Japan, 1997, pp.212-215
[246] Chen Luonan, Aihara Kazuyuki. Bifurcation Analysis of Hybrid Dynamical Systems. Proceedings of the IEEE International Conference on Systems, Man and Cybernetics, 1998, 1: 857-862
[247] 中国电力科学研究院. 电力系统综合稳定分析程序 6.0 手册. 2000
[248] 李亚楼,周孝信,吴中习. 基于 PC 机群的电力系统机电暂态仿真并行算法. 电网技术, 2003, 27(11): 6-12
[249] R.T.H.Alden, A.A.Shaltout. Analysis of Damping and Synchronizing Torques, Part I – A General Calculation Method. IEEE Transaction on Power Apparatus and Systems, 1979, PAS-98(5): 1696-1700
[250] A.A.Shaltout, R.T.H.Alden. Analysis of Damping and Synchronizing Torques, Part II – Effect of Operating Conditions and Machine Parameters. IEEE Transaction on Power Apparatus and Systems, 1979, PAS-98(5): 1701-1708
[251] A.A.Shaltout, R.A.A.Al-Feilat. Damping and Synchronizing Torque Computation in Multimachine Power Systems. IEEE Transaction on Power Systems, 1992, 7(1): 280-286
[252] J. Matsuki, T. Okada. On-line Calculation of Synchronizing and Damping Torque Coefficients of a Synchronous Generator. IEE Conference Publication, 1991, 341: 316-320
[253] E. Abu-Al-Feilat, M. Bettayeb, H. Al-Duwaish, et. al. Neural Network-based Approach for On-line Dynamic Stability Assessment Using Synchronizing and Damping Torque Coefficients. Electric Power Systems Research, 1996, 39(2): 103-110
[254] E. A. Abu-Al-Feilat, N. Younan, S. Grzybowski. Estimating the Synchronizing and Damping Torque Coefficients Using Kalman Filtering. Electric Power Systems Research, 1999, 52(2): 145-149
[255] J.F.Hauer, C.J.Demeure, L.L.Scharf. Initial Results in Prony Analysis of Power System Response Signals. IEEE Transaction on Power Systems, 1990, 5(1): 80-89
[256] C.E.Grund, J.J.Paserba, J.F.Hauer, et. al. Comparison of Prony and Eigenanalysis for Power System Control Design. IEEE Transaction on Power Systems, 1993, 8(3): 964-970
[257] J.J.Sanchez-Gasca, J.J.Chow. Performance Comparison of Three Identification Methods for the Analysis of Electromechanical Oscillations. IEEE Transaction on Power Systems, 1999, 14(3): 995-1002
[258] D.J.Trudnowski. Order Reduction of Large-scale Linear Oscillatory System Models. IEEE Transaction on Power Systems, 1994, 9(1): 451-458
[259] Γ.Β.ΜИХΗΒИЧ. СИНТЕЗ СРУКРЫ СИСТЕМЫ АВТОМАТИ-ЧЕСКОГО РЕГУЛИРОВАНИЯ СИНХР ОННЫХ МАШИН. 1963г
[260] F.J.Swift, H.F. Wang. The Connection Between Modal Analysis and Electric Torque Analysis in Studying the Oscillation Stability of Multi-machine Power Systems. International Journal of Electrical Power and Energy System, 1997, 19(5): 321-330
[261] D.J.Trudnowski, J.E.Dagle. Effects of Generator and Static-Load Nonlinearities on Electromechanical Oscillations. IEEE Transaction on Power Systems, 1997, 12(3): 1283-1289
[262] H.G.Kwatny, X-M Yu. Energy Analysis of Load-induced Flutter Instability in Classical Modes of Electric Power Networks. IEEE Transaction on Circuits and Systems, 1989, 38: 1544-1557
[263] H.G.Kwatny, G.E.Piper. Frequency Domain Analysis of Hopf Bifurcation in Electric Power Networks. IEEE Transaction on Circuits and Systems, 1990, 37: 1317-1321
[264] M.Klein, G.J.Rogers, S.Moorty, P.Kundur. Analytical Investigation of Factors Influencing Power Systems Stabilizers Performance. IEEE Transaction on Energy Conversion, 1992, 7: 382-390
[265] I.Dobson, Jianfeng Zhang, Scott Greene, Henrik Engdahl, P.W. Sauer. Is Strong Modal Resonance a Precursor to Power System Oscillations? IEEE Transaction on Circuits and Systems I, 2001, 48(3): 340-349
[266] B.M. Nomikos, C.D. Vournas. Modal Interaction and PSS Design. Porto Power Tech Conference, Porto Portugal, Sept. 2001.
[267] 黄纯华. 大型同步发电机运行(第 2 版). 北京:水利电力出版社,1992
[268] C.C.Liu, F.F.Wu. Analysis of Small Disturbance Stability Regions of Power System Models with Real and Reactive Power Flows. Large Scale Systems, 1985, 9: 193-213
[269] 汤涌. 全国互联系统仿真研究中的模型与参数若干问题的讨论. 国家电网公司电力系统稳定工作研讨会论文,2004
[2] IEEE/CIGRE Joint Task Force on Stability Terms and Definitions. Definition and Classification of Power System Stability. IEEE Transaction on Power Systems, 2004, 19(3): 1387-1401
[3] 余贻鑫,王成山. 电力系统稳定性的理论与方法. 北京:科学出版社,1999
[4] T.V. Cutsem, C. Vournas. Voltage Stability of Electric Power Systems. Kluwer Academic Publishers, 1998
[5] C.W.Taylor. Power System Voltage Stability. McGraw-Hill, 1994
[6] G. Rogers. Power System Oscillation. Norwell,Ma:Kluwer, 2000
[7] IEEE Power Engineering Society Systems Oscillations Working Group. Inter-Area Oscillations in Power Systems. IEEE Publication 95 TP 101, Oct. 1994
[8] Cigré Task Force 07 of Advisory Group 01 of Study Committee 38. Analysis and Control of Power System Oscillations. Paris, Dec., 1996
[9] 余贻鑫. 电压稳定研究述评. 电力系统自动化,1999,23(21):1-8
[10] P. Kundur. Power System Stability and Control. McGraw-Hill, NY, 1993
[11] 郑肇骥等 译. 电力系统的控制与稳定. 北京:水利电力出版社. 1979
[12] P. Kundur, Lei Wang. Small Signal Stability Analysis: Experiences, Achievements, and Challenges. Proceedings of PowerCon, Kunming, Oct. 2002, 1: 13-17
[13] A.H.M.A.Rahim, A.M.Al-Shehri, A.I.J.Al-Sammak. Optimum Control Strategies for Transient as well as Oscillatory Instability of Power Systems. IEEE Transaction on Power Systems, 1993, 8(2): 491-496
[14] 余贻鑫,陈礼义. 电力系统的安全性和稳定性. 北京:科学出版社,1988
[15] 倪以信, 陈寿孙, 张宝霖. 动态电力系统的理论和分析. 北京:清华大学出版社,2002
[16] L. H. Fink, Ed. Bulk Power System Voltage Phenomena I—Voltage Stability and Security, Potosi, MO, 1988.
[17] L. H. Fink, Ed. Bulk Power System Voltage Phenomena II—Voltage Stability and Security, Deep Creek Lake, MD, 1991.
[18] L. H. Fink, Ed. Bulk Power System Voltage Phenomena III—Voltage Stability and Security, Davos, Switzerland, 1994.
[19] L. H. Fink and C. Vournas, Eds. Bulk Power Systems Dynamics and Control IV — Restructuring, Santorini, Greece, 1998.
[20] T.V.Cutsem. Voltage Instability: Phenomena, Countermeasures, and Analysis Methods. Proceedings of the IEEE,2000,88(2): 208-227
[21] C. A. Ca?izares, Ed. Voltage Stability Assessment: Concepts, Practices and Tools. IEEE/PES Power System Stability Subcommittee. Available: http://www.power.uwaterloo.ca
[22] T.J.Overbye. Effects of Load Modeling on Analysis of Power System Voltage Stability. Electrical Power & Energy Systems, 1994, 6(5): 329-338
[23] N.Yorino, H. Sasaki, Y. Masuda, et. al. An Investigation of Voltage Stability Problems. IEEE Transaction on Power Systems, 1992, 7(2): 600-611
[24] John A. Diaz de Leon II, C. W. Taylor. Understanding and Solving Short-Term Voltage Stability Problems. IEEE Power Engineering Society Summer Meeting, 2002, 2: 21-25
[25] C.C.Liu, K.T.Vu. Analysis of Tap-changer Dynamics and Construction of Voltage Stability Regions. IEEE Transactions on Circuits and Systems, 1989, 36 (4): 575-590
[26] D. J. Hill. Nonlinear Dynamic Load Models with Recovery for Voltage Stability Studies. IEEE Transactions on Power Systems, 1993, 8(1): 166-176
[27] B.W. Kennedy, R.H. Fletcher. Conservation Voltage Reduction (CVR) at Snohomish County PUD. IEEE Transactions on Power Systems, 1991, 6(2): 986-998
[28] I.Dobson, Liming Lu. Voltage Collapse Precipitated by the Immediate Change in Stability When Generator Reactive Power Limits are Encountered. IEEE Transaction on Circuits and Systems, 1992, 39(9): 762-766
[29] V. Ajjarapu, P. L. Lau, S. Battula. An Optimal Reactive Power Planning Strategy Against Voltage Collapse. IEEE Transaction on Power Systems, 1994, 9(2): 906–916
[30] R.S.Tare, P.R.Bijwe. Look-ahead Approach to Power System Loadability Enhancement. IEE Proc.-Gener. Transm. Distrib., 1997, 144(4): 357-362
[31] R.R.Zallapa, B.J.Cory. Reactive Reserve Management. IEE Proc. Gener. Transm. Distrib., 1995,142(1): 17-23
[32] Arrowsmith D K, Place C M. An Introduction to Dynamic Systems. Cambridge University Press, 1990, Cambridge
[33] 陈予恕. 非线性动力学中的现代分析方法,1992,北京:科学出版社
[34] R.Seydel. From Equilibrium to Chaos: Practical Bifurcation and Stability Analysis. 1988, New York : Elsevier
[35] Stephen Wiggins. Introduction to Applied Nonlinear Dynamical Systems and Chaos. 1990, New York : Springer-Verlag
[36] 贾宏杰. 电力系统小扰动稳定域的研究. 天津大学博士学位论文,2000
[37] M.A.Pai. Energy Function Analysis for Power System Stability. Kluwer Academic Publication, Boston, MA. 1989
[38] K.T Vu, C.C Liu. Shrinking Stability Regions and Voltage Collapse in Power Systems. IEEE Transactions on Circuits and Systems, 1992, 39(4): 271-289
[39] F.D.Galiana. Analytic Properties of the Load Flow Problem. Proc. Int. Symp. Circuits Syst. Special Session on Power Syst., 1977, pp. 802-816
[40] F.D.Galiana, K.Lee. On the Steady Stability of Power Systems. Proceedings of Power Industry Computer Applications Conference, 1977, pp.201-210
[41] F.D.Galiana, J.Jarjis. Feasibility Constraints in Power Systems. Proc. IEEE PES Summer Meeting, Los Angeles, CA, 1978, paper A 78 560-5
[42] I.Jarjis, F.D.Galiana. Quantitative Analysis of Steady State Stability in Power Networks. IEEE Transaction on Power Apparatus and Systems, 1981, PAS-100(1): 318-326
[43] F.D.Galiana, M.Banakar. Approximation formulae for dependent load flow variables. IEEE Transaction on Apparatus Syst., 1981, PAS-100(5): 1128-1137
[44] M.H.Banakar, F.D.Galiana, J.Jarjis. Security Regions in Power Networks. Proceedings of IEEE International Symposium on Circuits and Systems, 1981, 3: 750-754
[45] H.G.Kwatny, R.F.Fischl, C.O.Nwankpa. Local Bifurcation in Power Systems: Theory, Computation, and Application. Proceedings of the IEEE, 1995, 83(11): 1456-1483
[46] E.Hnyilicza, S.T.Lee, F.C.Schweppe. Steady-state Security Regions: the Set-theoretic Approach. Proc. PICA, 1975, pp.347-355
[47] R.Fischl, J.A.DeMaio. Fast Identification of the Steady-state Security Regions for Power System Security Enhancement. IEEE PES Winter Meeting, 1976
[48] P.Dersin, A.H.Levis. Feasibility Sets for Steady-state Loads in Electric Power Network. IEEE Transaction on Apparatus and Systems, 1982, PAS-101(1): 60-70
[49] F.F.Wu, Kumagai. Steady-state Security Regions of Power Systems. IEEE Transaction on Circuits and Systems, 1984, CAS-29(9): 117-139
[50] C.C. Liu. A New Method for Construction of Maximal Steady-state Security Regions of Power Systmes. IEEE Transaction on Power Systems, 1986, 4:19-27
[51] Yu Yixin, Huang Chunhua, Feng Fei. A Study on Reactive Power Steady-State Security Regions. Electrical Machines and Power Systems, 1989, 17: 155-166
[52] Yu Yixin, Feng Fei. Active Power Steady-state Security Regions of Power Systems. Science in China, 1990,series A: 664-672
[53] Y.V.Makarov, I.A.Hiskens. A Continuation Method Approach to Finding the Closest Saddle Node Bifurcation Point. In Proc. NSF/ECC Workshop Bulk Power System Voltage Phenomena III, Davos, Switzerland, 1994
[54] I.A.Hiskens, Y.V.Makarov. Calculation of power system critical loading conditions. Proceeding of Electrical Engineering Congress, Sydney, 1994:185-190
[55] Y. V. Makarov, David J. Hill, Zhao-Yang Dong. Computation of Bifurcation Boundaries for Power Systems: A New ?-Plane Method. IEEE Transaction on Circuits and Systems, 2000, 47(4): 536-544
[56] G.B.Price. A Generalized Circle Diagram Approach for Global Analysis of Transmission System Performance. IEEE Transaction on Power Apparatus and Systems, 1984, PAS-103(10): 2881-2890
[57] I.A.Hiskens, R.J. Davy. A Technique for Exploring the Power Flow Solution Space Boundary. In Proc. Int. Symp. Electric Power Engineering Stockholm Power Tech., Stockholm, Sweden, 1995, pp.478-483
[58] I.A.Hiskens, R.J. Davy. Exploring the Power Flow Solution Space Boundary. IEEE Transaction on Power Systems, 2001, 16(3): 389-395
[59] R.Fischl. Decision Support Framework for evaluating Voltage Criteria. In Proc. Bulk Power Voltage Phenomena-Voltage Stability and Security, Potosi, MO, 1988, pp. 7.59-7.109
[60] J.Zaborszky, V.Venkatasubramanian, H.Schattler, et.al. Application of Taxonomy Theory Volume 1: Computation A Hopf Bifurcation-related Segment of the Feasibility Boundary. EPRI Final Report, TR-105492-V1, 1995
[61] V.Venkatasubramanian, H.Schattler, J.Zaborszky. Dynamics of Large Constrained Nonlinear Systems-A Taxonomy Theory. Proceedings of the IEEE, 1995, 83(11): 1530-1561
[62] V.Venkatasubramanian, H.Schattler, J.Zaborszky. A Taxonomy of the Dynamics of the Large Electric Power System with Emphasis on its Voltage Stability. In Proc. NSF Int. Workshop on Bulk Power Syst. Voltage Phenomena-II, 1991, pp. 9-52
[63] V.Venkatasubramanian, X.Jiang, H.Schattler, J.Zaborszky. On the Dynamics of Large Nonlinear Systems with Saturation on Signals and States. Proceedings of the 34th IEEE Conference on Decision and Control, 1995, 4: 3477 – 3478
[64] V.Venkatasubramanian, H.Schattler, J.Zaborszky. A Stability Theory of Large Differential Algebraic Systems – A Taxonomy. Report SSM 9201 – Part 1, Dept. Syst. Sci. and Mathematics, Washington Univ., School of Eng. And Applied Sci., St. Louis, MO
[65] V.Venkatasubramanian, X.Jiang, H.Schattler, J.Zaborszky. Current Status of the Taxonomy Theory of Large Power System Dynamics: DAE Systems with Hard Limits. In Proc. NSF Int. Symp. On Bulk Power Systems Phenomena: Voltage Stability and Security III, Davos, Switzerland, 1994, pp.15-103
[66] D.V. Anosov, V.I.Arnold, Eds. Encyclopedia of Mathematics, Vol. 1: Ordinary Differential Equations and Smooth Dynamical Systems, New York: Springer-Verlag, 1980
[67] J.Guckenheimer, P.Homes. Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields. New York: Springer-Verlag, 1983
[68] Yu Yixin, Jia Hongjie, Wang Chengshan. Chaotic Phenomena and Small Signal Stability Region of Electrical Power Systems. SCIENCE IN CHINA (Series E), 2001, 44(2): 187-199
[69] 贾宏杰,余贻鑫,王成山. 考虑励磁顶值与 PSS 的混沌和分岔现象. 电力系统自动化,2001, 25(1): 11-14
[70] 贾宏杰,余贻鑫,李鹏. 电力系统环面分岔与混沌现象. 中国电机工程学报,2002,22(8): 6-10
[71] 贾宏杰,余贻鑫,李鹏,宿吉峰. 电力系统混沌现象与不同失稳模式之间的关系. 中国电机工程学报,2003,23(2): 1-4
[72] F.L.Alvarodo, T.H.Jung. Direct Detection of Voltage collapse Mechanisms. in Proc. Bulk Power Voltage Phenomena, Potosi, Mo, Sept. 1988
[73] V.Ajjarappu, C.Christy. The Continuation Power Flow: A Tool for Steady State Voltage Stability Analysis. in IEEE PICA Conf. Proc., May 1991, pp. 304-311
[74] K.Kim, H.Schattler, V.Venkatasubramanian, J.Zaborszky, P.Hirsch. Methods for Calculating Oscillations in Large Power Systems. IEEE Transactions on Power Systems, 1997, 12(4): 1639-1648
[75] Y.V. Makarov, Zhao Yang Dong, D.J. Hill. A General Method for Small Signal Stability Analysis. IEEE Transaction on Power Systems, 1998, 13(3): 979-985
[76] Zhao Yang Dong. Advanced Methods for Small Signal Stability Analysis and Control in Modern Power Systems. Ph. D dissertation, The University of Sydney, 1998
[77] Yuan Zhou, Ajjarapu, V. Identification and Tracing of Voltage and Oscillatory Stability Margins. IEEE Power Engineering Society Winter Meeting, 2002, 1:27-31
[78] Yuan Zhou. Manifold Based Voltage Stability Boundary Tracing, Margin Control Optimization and Time Domain Simulation. Ph.D dissertation, Iowa State University, 2001
[79] F. F. Wu, Y. K. Tsai, Y. X. Yu. Probabilistic Steady-State and Dynamic Security Assessment. IEEE Transactions on Power Systems, 1988, PWRS-3 (1): 1~9
[80] R. J. Kaye, F. F. Wu. Dynamic Security Regions of Power Systems. IEEE Transactions on Circuits and Systems, 1982, CAS-29 (9): 612~623
[81] 杨卫. 多机电力系统的概率动态安全性估计. 硕士学位论文, 天津大学, 1987
[82] 余贻鑫, 栾文鹏. 利用拟合技术决定实用电力系统动态安全域. 中国电机工程学报, 1990, 10 (增刊): 22~28
[83] 余贻鑫, 栾文鹏. 电力系统动态安全域的研究. 电力系统及其自动化学报, 1990, 2 (1): 11~21
[84] Y. X. Yu and F. Feng. A Study on Dynamic Security Regions of Power Systems. Proceedings of International Conference on PES, Beijing China, 1991
[85] 冯飞, 余贻鑫. 电力系统功率注入空间的动态安全域. 中国电机工程学报, 1993, 13 (3): 14~22
[86] 冯飞, 余贻鑫, 林济铿. 网络拓扑与 I 型相关不稳定平衡点的定量关系. 电力系统及其自动化学报, 1994, 6 (4): 1~12
[87] 余贻鑫,曾沅,冯飞. 电力系统注入空间动态安全域的微分拓扑特性. 中国科学 E 辑,2002,32(4): 503-509
[88] 余贻鑫, 林济铿. 电力系统动态安全域边界的实用解析表示. 天津大学学报, 1997, 30 (1): 1~8
[89] 林济铿, 余贻鑫. 基于混合决策树——人工神经网络的电力系统动态安全评价. 中国电机工程学报, 1996, 16 (6): 378~383
[90] 余贻鑫,曾沅. 电力系统动态安全域的实用解法. 中国电机工程学报, 2003, 23(5): 24-28
[91] V.A. Venikov, V.A. Stroev, V.I. Idelchick, et. al. Estimation of Electrical Power System Steady-state Stability in Load Flow Calculations. IEEE Transactions on Power Apparatus and Systems, 1975, PAS-94(3): 1034-1041
[92] Y.Tamure, H.Mori, S.Iwamoto. Relationship Between Voltage Instability and Multiple Load Flow Solutions in Electric Power Systems. IEEE Transaction on Power Systems, 1983, 102(5): 1115-1123
[93] Zhihong Feng, Venkataramana Ajjarapu, Bo Long. Identification of Voltage Collapse Through Direct Equilibrium Tracing. IEEE Transaction on Power Systems, 15(1): 2000
[94] M.A.Pai, P.W.Sauer, B.C.Lesieutre. Static and Dynamic Nonlinear Loads and Structural Stability in Power Systems. Proceedings of the IEEE, 1995, 83(11): 1562-1572
[95] I.Dobson, H.D.Chiang. Towards a Theory of Voltage Collapse in Electric Power Systems. Systems & Control Letters, 1989, 13(3): 253-262
[96] H.D.Chiang, I.Dobson, R.J.Thomas, et. al. On Voltage Collapse in Electric Power Systems. IEEE Transactions on Power Systems, 1990, 5(2): 601-611
[97] I.Dobson. Observation on the Geometry of Saddle Node Bifurcation and Voltage Collapse in Electrical Power Systems. IEEE Transaction on Circuits and Systems-I, 1992, 39(3): 240-243
[98] M.M.Begovic, A.G.Phadke. Dynamic Simulation of Voltage Collapse. IEEE Transaction on Power Systems, 1990, 5(1): 198-203
[99] V.Ajjarapu, B.Lee. Bifurcation Theory and its Application to Nonlinear Dynamical Phenomena in an Electrical Power System. IEEE Transaction on Power Systems, 1992, 7(1): 424-431
[100] C.A.Ca?izares. On Bifurcation, Voltage Collapse and Load Modeling. IEEE Transaction on Power Systems, 1995, 10(1): 512-522
[101] C.Rajagopalan, B.Lesieutre, P.W.Sauer, M.A.Pai. Dynamic Aspects of Voltage/Power Characteristics. IEEE Transaction on Power Systems, 1992, 7(3): 990-1000
[102] N.Yorino, H.Sasaki, Y.Masuda, et. al. An Investigation of Voltage Instability Problems. IEEE Transaction on Power Systems, 1992, 7(2): 600-611
[103] A.Gebreselassie, J.H.Chow. Investigation of the Effects of Load Models and Generator Voltage Regulators on Voltage Stability. Electrical Power & Energy Systems, 1994, 16(2): 83-89
[104] W.D.Rosehart, C.A. Ca?izares. Bifurcation Analysis of Various Power System Models. Electrical Power & Energy Systems, 1999, 21(1): 171-182
[105] K.G.Rajesh, K.R.Padiyar. Bifurcation Analysis of a three Node Power System with Detailed Models. Electrical Power & Energy Systems, 1999, 21(2): 375-393
[106] Chin-Woo Tan, M.Varghese, P.Varaiya, F.F.Wu. Bifurcation, Chaos, and Voltage Collapse in Power Systems. Proceedings of the IEEE, 1995, 83(11): 1484 – 1496
[107] H.O.Wang, E.H.Abed, A.M.A.Hamdan. Bifurcations, Chaos, and Crises in Voltage Collapse of a Model Power System. IEEE Transaction on Circuits and Systems I, 1994, 41(4): 294 – 302
[108] E.H.Abed, H.O.Wang, A.M.A.Hamdan, et. al. Dynamic Bifurcations in a Power System Model exhibiting Voltage Collapse. International Journal of Bifurcation and Chaos, 1993, 3(5): 1169-1176
[109] 薛禹胜, 周海强 等. 电力系统分岔与混沌研究述评. 电力系统自动化,2002, 26(16): 9-15
[110] C.A. Ca?izares. Conditions for Saddle-Node Bifurcations in AC/DC Power System. Electrical Power & Energy System, 1995, 17(1): 61-68
[111] 王梅义,吴竞昌,蒙定中. 大电网系统技术. 北京:中国电力出版社,1995
[112] 韩祯祥. 电力系统稳定. 北京:中国电力出版社,1995
[113] 袁季修. 电力系统安全稳定控制. 北京:中国电力出版社,1996
[114] T.V. Cutsem, V.Jacquemart, J.N.Marquet, et al. A Comprehensive Analysis of Mid-term Voltage Stability. IEEE Transaction on Power Systems, 1995, 10(3): 1173-1182
[115] T.V. Cutsem, C.D.Vournas. Voltage Stability Analysis in Transient and Mid-term Time Scales. IEEE Transaction on Power Systems, 1996, 11(1): 146-154
[116] T.V. Cutsem, C. Moisse, R. Mailhot. Determination of Secure Operating Limits with Respect to Voltage Collapse. IEEE Transactions on Power Systems, 1999, 14(2): 327-335.
[117] Morison K, Yirga S. System Disturbance Stability Studies for WSCC. In EPRI Final Report TR-108256, 1997, 2-11
[118] C.D. Vournas, T.V. Cutsem. Voltage Oscillations with Cascaded Load Restoration. IEEE/KTH Stockholm Power Tech Proceedings (Power Systems), 1995, 173-178
[119] K.L.Praprost, K.A.Loparo. An Energy Function Method for Determining Voltage Collapse During a Power System Transient. IEEE Transaction on Circuits & Systems, 1994, 41(10): 635-651
[120] I.A,Hiskens, D.J.Hill. Energy Functions, Transient Stability and Voltage Behavior in Power Systems with Nonlinear Loads, IEEE Transaction on Power Systems, 1989, 4(4): 1525-1533
[121] 吴浩. 电力系统电压稳定研究. 浙江大学博士学位论文,2002.10
[122] C.L.DeMaco, T.J.Overbye. An Energy Based Security Measure for Assessing Vulnerability to Voltage Collapse. IEEE Transaction on Power Systems, 1990, 5(2): 419-427
[123] W.Xu, Y.Mansour. Voltage Stability Analysis Using Generic Dynamic Load Models. IEEE Transactions on Power Systems, 1994, 9(1): 479 – 493
[124] A.Borghetti, R.Caldon, A. Mari, C.A.Nucci. On Dynamic Load Models for Voltage Stability Studies. IEEE Transactions on Power Systems, 1997, 12(1): 293-303
[125] K. Walve. Modelling of Power System Components at Severe Disturbance. International Conference on Large High Voltage Electric Systems, 1986, pp. 38. 18. 1-38. 18. 9
[126] D. Karlsson, D.J. Hill. Modeling and Identification of Non-linear Dynamic Loads in Power Systems. IEEE Transactions on Power Systems, 1994, 9(1): 157-166.
[127] IEEE Task Force. Standard Load Models for Power Flow and Dynamic Performance Simulation. IEEE Transactions on Power Systems, 1995, 10(3): 1302-1313
[128] S.G. Casper, C.O. Nwankpa. Bibliography on Load Models for Power Flow and Dynamic Performance Simulation. IEEE Transactions on Power Systems, 1995, 10(1): 523-538
[129] CIGRE Task Force 38.02.10. Criteria and Countermeasures for Voltage Collapse. CEGRE, Oct., 1995
[130] CIGRE Task Force 38.08. Protection Against Voltage Collapse. Edited by D.Karlsson, CIGRE, 21 rue d’Artois-F-750008 PARIS
[131] CIGRE Task Force 38.02.10. Cigré Technical Brochure: Modeling of Voltage Collapse including Dynamic Phenomena. ELECTRA No.147, 1993
[132] A.Kurita, T.Sakurai. The Power System Failure on July 23, 1987 in Torkyo. Proceedings of the 27th Conference on Decision and Control, Texas, Dec. 1988
[133] K.T.Vu, Liu Chen-Ching, C.W.Taylor, K.M.Jimma. Voltage Instability: Mechanisms and Control Strategies. Proceedings of the IEEE, 1995, 83(11): 1442 -1455
[134] Hiroshi Ohtsuki, Akihiko Yokoyama, Yasuji Sekine. Reverse Action of On-load Tap Changer in Association with Voltage Collapse. IEEE Transactions on Power Systems, 1991, 6(2): 300-306
[135] 段献忠,何仰赞,陈德树. 有载调压变压器与电压稳定性关系的动态分析. 电力系统自动化,1995,19(1): 14-19
[136] 孙元章,王志芳. OLTC 仿真模型及其对电压无功稳定性的影响. 电力系统自动化,1998,22(5): 10-13
[137] 彭志炜,胡国根,韩祯祥. 有载调压变压器对电力系统电压稳定性影响的动态分析. 中国电机工程学报,1999,19(2): 61-65
[138] M.A.Pai, M.G.Grady. Voltage Collapse Analysis with Reactive Generation and Voltage Dependent Load Constraints. Electric Machines and Power Systems, 1989, 17: 379-390
[139] K.T.Vu, C.C.Liu. Dynamic Mechanisms of Voltage Collapse. Systems and Control Letters, 1990, 15: 329-338
[140] T.V. Cutsem. A Method to Compute Reactive Power Margins with Respect to Voltage Collapse. IEEE Transaction on Power Systems, 1991, 6:1196-1202
[141] C.R. Mummert. Excitation System Limiter Models for Use in System Stability Studies. Proceedings of the 1999 PES Winter Meeting, 1999, New York, pp. 187-192.
[142] Voltage Stability of Power Systems: Concepts, Analytical Tools and Industry Experience. IEEE Special Publication, 90TH0358-2-PWR, 1990.
[143] N.Flatabo, R.Ognedel, T.Carlsen. Voltage Stability Condition in a Power Transmission Systems Calcultated by Sensitivity Methods. IEEE Transaction on Power Systems, 1990, 5(4): 1286-1293
[144] 周双喜,姜勇,朱凌志. 电力系统电压静态稳定性指标评述. 电网技术,2001,25(1): 3-7
[145] S.Greene, I. Dobson, F. L. Alvarado. Sensitivity of the Loading Margin to Voltage Collapse with Respect to Arbitrary Parameters. IEEE Transaction on Power Systems, 1997, 12(1): 262-272
[146] P.A. Lof, G.Anderson, D.J.Hill. Voltage Stability Indices for Stressed Power Systems. IEEE Transaction on Power Systems, 1993,8(1): 326-335
[147] 陈浩忠,祝达康,张焰. 临近电压崩溃点处的系统最优控制方向. 电力系统自动化,1999,23(21): 29-31
[148] A.O.Ekwue, H.B.Wan, D.T.Y. Cheng, Y.H.Song. Singular Value Decomposition Method for Voltage Stability Analysis on the National Grid System (NGC). Electrical Power & Energy System, 1999, 21: 425-432
[149] Y.H.Song, C.T.Pan, W.W.Lin. Fast Calculation of a Voltage Stability Index of Power System. IEEE Transaction on Power Systems, 1997, 12(4): 1555-1560
[150] C.A. Ca?izares, A.C.Z. de Souza, V.H.Quintana. Comparison of Performance Indices for Detection of Proximity to Voltage Collapse. IEEE Transaction on Power Systems, 1996, 11(3): 1441-1450
[151] B. Gao, G.K.Morison, P. Kundur. Voltage Stability Evaluation using Modal Analysis. IEEE Transaction on Power Systems, 1992, 7(4): 1529-1542
[152] M.Suzuki, S.Wada, M.Sato, et. al. Newly Developed Voltage Security Monitoring System. IEEE Transaction on Power Systems, 1992, 7(3): 965-972
[153] T.J.Overbye, C.L.Demaco. Voltage Security Enhancement using Energy based Sensitivities. IEEE Transaction on Power Systems, 1991, 6(3): 1196-1202
[154] T.J.Overbye, C.L.Demaco. Improved Techniques for Power System Voltage Stability Assessment using Energy Methods. IEEE Transaction on Power Systems, 1991, 6(4): 1446-1452
[155] T.J.Overbye. Use of Energy Methods for On-line Assessment of Power System Voltage Security. IEEE Transaction on Power Systems, 1993, 8(2): 452-458
[156] T.J.Overbye, I. Dobson, C.L.Demaco. Q-V Curve Interpretations of Energy Measures for Voltage Security. IEEE Transaction on Power Systems, 1994, 9(1): 331-340
[157] P. Kessel. H.Glavitsch. Estimating the Voltage Stability of a Power System. IEEE Transactions on Power Delivery, PWRD-1(3): 346-354
[158] 余贻鑫,贾宏杰,严雪飞,等. 可准确追踪鞍节分岔的改进局部电压稳定指标LI. 电网技术,1999,23(5): 19-23
[159] C.A. Ca?izares, N. Mithulananthan, A. Berizzi, J.Reeve. On the Linear Profile of Indices for the Prediction of Saddle-node and Limit-induced Bifurcation Points in Power Systems. IEEE Transactions on Circuits and Systems I, 2003, 50(12): 1588-1595
[160] C.A. Ca?izares, N. Mithulananthan, F. Milano. Linear Performance Indices to Predict Oscillatory Stability Problems in Power Systems. IEEE Transactions on Power Systems, 2004, 19(2): 1104-1114
[161] I.Dobson, F.Alvarado, C.L.DeMarco. Sensitivity of Hopf Bifurcation to Power System Parameters. Proceedings of the 31st Conference on Decision and Control, Artzona, 1992, pp. 2928-2993
[162] P.Kundur, D.Y.Wong, G.J.Rogers. Extended Transient-Midterm Stability Package: User’s Manual. EPRI EL-6648, 1989
[163] L.Loud, P.Rousseaux, D.Lefbvre, T.V.Cutsem. A Time-Scale Decomposition-Based Simulation Tool for Voltage Stability Analysis. Proceedings of IEEE Power Tech Conference, Portugal, 2001
[164] P. Rousseaux, T.V.Cutsem. Fast Small-Disturbance Analysis of Long-term Voltage Stability. Proceedings of the 12th Power Systems Computation Conference, 1996, 1(1): 295-302
[165] 顾群,徐泰山,陈怡等. 中期电压稳定的建模与快速仿真. 电力系统自动化,1999,23(21): 25-28
[166] 张尧,宋文南,贺家李. 临界电压稳定极限的潮流和静稳极限算法. 中国电机工程学报,1994,14(6): 17-23
[167] 李国庆. 基于连续型方法的大型互联电力系统区域间输电能力的研究. 天津大学博士学位论文,1998
[168] I.Dobson, Lu Liming. A Direct Method for Computing a Closest Saddle Node Bifurcation in the Load Power Parameter Space of an Electric Power System. IEEE International Symposium on Circuits and Systems, 1991, 5: 3019-3022
[169] I.Dobson, Lu Liming. New Methods for Computing a Closest Saddle Node Bifurcation and Worst Case Load Power Margin for Voltage. IEEE Transactions on Power Systems, 1993, 8(3): 905-913
[170] F. Alvarado, I. Dobson, Y. Hu. Computation of Closest Bifurcations in Power Systems. IEEE Transactions on Power Systems, 1994, 9(2): 918-928
[171] 宿吉锋,余贻鑫,贾宏杰等. 电力大系统电压稳定可行域可视化初探. 电力系统自动化,1999,25(22): 1-5
[172] Jifeng Su, Yixin Yu, Hongjie Jia, et. al. Visualization of Voltage Stability Region of Bulk Power System. International Conference on Power System Technology, Oct. 2002, 3: 1665 – 1668
[173] 王成山,许晓菲,余贻鑫等. 基于割集功率空间上的静态电压稳定域局部可视化方法. 中国电机工程学报,2004,24(9): 13-18
[174] 王成山,许晓菲,余贻鑫等. 电力系统电压稳定域的局部可视化描述及其应用. 中国电机工程学报,2004, 24(3): 1-5
[175] 余贻鑫. 安全域的方法学及实用性结果. 天津大学学报,2003,36(5): 525-528
[176] S.Abe, N.Hamada, A.Isono, et. al. Load Flow Convergence in the Vicinity of a Voltage Instability Limit. IEEE Transaction on Power Apparatus & Systems, 1978, PAS-97(6): 1983-1993
[177] F. D. Galiana. Load Flow Feasibility and the Voltage Collapse Problem. In Proc. 23rd Conf. on Decision and Control, Dec. 1984, pp.485-487
[178] 王锡凡. 现代电力系统分析. 北京:科学出版社,2003
[179] K.S.Shah, G.R.Berube, R.E.Beaulieu. Testing and Modelling of the Union Electric Generator Excitation Systems. Missouri Valley Electric Association Engineering Conference, Kansas City, Apr., 1995
[180] D.N.Kosterev, C.Taylor, W.A.Mittelstadt. Model Validation for the August 10,1996 WSCC System Outage. IEEE Transaction on Power Systems, 1999, 14(3): 967-979
[181] D.N.Losterev, W.A.Mittelstadt, M.Viles, et. al. Model Validation and Analysis of WSCC System Oscillations Following Alberta Separation on August 4, 2000. Final Report By Bonneville Power Administration and BC Hydro, 2001
[182] Guoping Liu, Zheng Xu, Ying Huang, Wulue Pan. Analysis of Inter-area Oscillations in the South China Interconnected Power System. Electric Power Systems Research, 2004, 70:38-45
[183] 毛晓明,吴小辰. 南方交直流并联电网运行问题分析. 电网技术,2004,28(2): 6-13
[184] 肖晋宇,谢小荣,胡志祥,韩英铎. 电力系统低频振荡在线辨识的改进 Prony 算法. 清 华大学学报(自然科学版),2004,44(7): 883-887
[185] 朱方,汤涌,张东霞,张文朝. 我国交流互联电网动态稳定性问题的研究及解决策略. 国家电网公司电力系统稳定工作研讨会论文集,2004,pp. 14-20
[186] Powertech Labs Inc. System Disturbance Stability Studies for Western System Coordinating Council (WSCC). EPRI Report TR-108256, 1997
[187] 余耀南著,何大愚,刘肇旭,周孝信译. 动态电力系统. 水利电力出版社,1983
[188] Xiaoqing Yang, A. Feliachi, R.Adapa. Damping Ehnancement in the Western U.S. Power System: A Case Study IEEE Transaction on Power Systems, 1995, 10(3): 1271-1278
[189] Y.Mansour. Application of Eignanalysis to the Western North American Power System. IEEE Tutorial, Publication # 90TH029-3-PWR, pp. 97-100
[190] E.H.Abed, P.Varaiya. Nonlinear Oscillations in Power Systems. Electric Power and Energy System, 1984, 6(1):37～43
[191] N.Mithulananthan. Hopf Bifurcation Control and Indices for Power System with Interacting Generator and FACTS Controllers. Ph.D dissertation, University of Waterloo, 2002
[192] Y.V.Makarov, V.A.Maslennikov, D.J.Hill. Calculation of Oscillatory Stability Margin in the Space of Power System Controlled Parameters. Proceedings Stockholm Power Tech, Stockholm, 1995, pp. 416-421
[193] 刘洪波, 邓集祥. 多机电力系统非线性振荡的研究. 中国电机工程学报,2002,22(10): 67-70
[194] 张芳, 邓集祥. 电力系统在一种极限运行状态下的稳定性分析. 电力系统自动化,2002,26(24): 18-21
[195] V.Vittal, N.Bhatia, A.A.Fouad. Analysis of the Inter-area mode Phenomena in Power Systems Following Large Disturbances. IEEE Transaction on Power Systems, 1991, 6(4): 1515-1521
[196] J.Thapar, V. Vittal, W. Kliemann, et. al. Application of the Normal Form of Vector Fields to Predict Interarea Separation in Power System. IEEE Transaction on Power Systems, 1997, 12(2): 844-850
[197] E. Barocio, A.R.Messina. Application of Perturbation Methods to the Analysis of Low Frequency Inter-area Oscillations. Proceedings of the IEEE Power Engineering Society Transmission and Distribution Conference, 2000, 3: 1845-1850
[198] 徐东杰,贺仁睦,胡国强等. 正规形方法在互联电网低频振荡分析中的应用. 中国电机工程学报,2004,24(3): 18-23
[199] 邓集祥,华瑶,韩雪飞. 大干扰稳定中低频振荡模式的作用研究. 电机工程学报,2003,23(11): 60-64
[200] X.Jiang, H. Schattler, J. Zaborszky. Hard Limit Induced Oscillations. Proceedings of IEEE International Symposium on Circuits and Systems, 1995, 1: 146-150
[201] M.Klein, G.J.Rogers, P.Kundur. A Fundamental Study of Inter-area Oscillations in Power Systems. IEEE Transaction on Power Systems, 1991, 6(3): 914-921
[202] A.R. Messina, M. Ochoa, E. Barocio. Use of Energy and Power Concepts in the Analysis of the Inter-area Mode Phenomenon. Electric Power Systems Research, 2001, 59: 111–119
[203] C.Jing, J.D.McCalley, M.Kommareddy. An Energy Approach to Analysis of Interarea Oscillations in Power Systems. IEEE Transaction on Power Systems, 1996, 11(2): 734-740
[204] 王铁强,贺仁睦,王卫国. 电力系统低频振荡机理的研究. 中国电机工程学报,2002,22(2): 21-25
[205] de Oliveria, E. M. Sebatiao. Effect of Excitation Systems and of Power System Stabilisers on Synchronous Generator Damping and Synchronising Torques. IEE Proceedings, Part C: Generation, Transmission and Distribution, 1989, 136(5): 264-270
[206] de Oliveria, E. M. Sebatiao. Synchronizing and Damping Torque Coefficients and Power System Steady-state Stability as Affected by Static VAR Compensators. IEEE Transactions on Power Systems, 1994, 9(1): 109-119
[207] P. Pourbeik, M. J. Gibbard. Simultaneous Coordination of Power System Stabilizers and FACTS Device Stabilizers in a Multimachine Power System for Enhancing Dynamic Performance. IEEE Transactions on Power Systems, 1998, 13(2): 473-479
[208] P. Pourbeik, M. J. Gibbard. Damping and Synchronizing Torques Induced on Generators by FACTS Stabilizers in Multimachine Power Systems. IEEE Transactions on Power Systems, 1996, 11(4): 1920-1925
[209] E.Z.Zhou. Power Oscillation Flow Study of Electric Power Systems. International Journal of Electrical Power and Energy System, 1995, 17(2): 143-150
[210] Fan Lingling, Ali Feliachi. Damping Enhancement by TCSC in the Western U.S. Power System. Proceedings of the IEEE Power Engineering Society Transmission and Distribution Conference, 2002, 1: 550-555
[211] 肖晋宇. 基于 PMU/WAMS 的互联电网广域阻尼控制研究. 清华大学博士学位论文,2004
[212] L. Wang, C.Y. Chung. Increasing Power Transfer Limits at Interfaces Constrained by Small-Signal Stability. Presented at IEEE PES Winter Meeting Panel Session on Recent Applications of Small Signal Analysis Techniques, New York, January 2002.
[213] Fernando Alvarado, Chris DeMarco, Ian Dobson, Pete Sauer. Avoiding and Suppressing Oscillations. Pserc Final Report, 1999. Available: http://www.pserc.wisc.edu
[214] A.A. Perleberg, E Silva, Aguinaldo Silveira. Avoiding Hopf Bifurcations in Power Systems via Set-points Tuning. IEEE Transactions on Power Systems, 2004, 19(2): 1076-1084
[215] R. Witzmann. Damping of Interarea Oscillations in Large Interconnected Power Systems. International Conference on Power Systems Transients, 2001
[216] Aleksandar I. Zecevic, Dejan M. Miljkovic. The Effects of Generation Redispatch on Hopf Bifurcations in Electric Power Systems. IEEE Transaction on Circuits and Systems I, 2002, 49(8): 1180-1186
[217] I.Dobson. Distance to Bifurcation in Multidimensional Parameter Space: Margin Sensitivity and Closest Bifurcations. Chapter 3 in Bifurcation control, theory and application. Springer Verlag, 2003
[218] William Rosehart. Stability Analysis of Detailed Power System Models. M.A.Sc. Dissertation, University of Waterloo, 1997
[219] André Arthur Perleberg Lerm, Claudio A. Ca?izares, Aguinaldo Silveira e Silva. Multiparameter Bifurcation Analysis of the South Brazilian Power System. IEEE Transaction on Power Systems, 2003, 18(2): 737-746
[220] Wen-Shiow Kao. The Effect of Load Models on Unstable Low-Frequency Oscillation Damping in Taipower System Experience w/wo Power System Stabilizers. IEEE Transaction on Power Systems, 2001, 16(3): 463-472
[221] H. G. Kwatny, A.K. Pasrija, L. Y. Bahar. Static Bifurcations in Electric Power Networks: Loss of Steady-State Stability,and Voltage Collapse. IEEE Transaction on Circuits and Systems, 1986, CAS-33(10): 981-991
[222] H.D.Chiang, A.J.Flueck, K.S.Shah, et. al. CPFLOW: A Practical Tool for Tracing Power System steady-state Stationary Behavior due to Load and Generation Variations. IEEE Transaction on Power Systems, 1995, 10(2): 623-634
[223] K.Iba, H.Suzuki, M.Egawa, et. al. Calculation of Loading Condition with Nose Curve Using Homotopy Continuation Method. IEEE Transaction on Power Systems, 1991, 6(2): 584-593
[224] C.A. Ca?izares, F.L. Alvarado, C.L DeMarco, I. Dobson, F.W. Long. Point of Collapse Methods Applied to AC/DC Power Systems. IEEE Transactions on Power Systems, 1992, 7(2): 673-683
[225] 薛禹胜. 电力市场稳定性与电力系统稳定性的相互影响. 电力系统自动化,2002,26(21): 1-6
[226] W.Rosehart. Power System Optimization with Voltage Stability Constrains. IEEE Power Engineering Society Summer Meeting, 1998, pp.14-19
[227] W.Rosehart, C.A. Ca?izares, V.H. Quintana. Optimal Power Flow Incorporating Voltage Collapse Constraints. Proceedings of IEEE Power Engineering Society Summer Meeting, 1999, pp.820-825
[228] G.D.Irisarri, X.Wang, J.Tong, et. al. Maximum Loadability of Power Systems Using Interior Point Nonlinear Optimization Method. IEEE Transaction on Power Systems, 1997, 12(1): 162-172
[229] T.J.Overbye. A Power Flow Measure for Unsolvable Cases. IEEE Transactions on Power Systems, 1994, 9(3): 1359-1365
[230] J.N.Franklin. Matrix Theory. New Jersey: Prentice-Hall, Inc. 1968
[231] R.S.Tare, P.R.Bijwe. Look-ahead Approach to Power System Loadability Enhancement. IEE Proceedings, Part C: Generation, Transmission and Distribution, 1997, 144(4): 357-362
[232] Ronghai Wang, R. H. Lasseter. Re-Dispatching Generation to Increase Power System Security Margin and Support Low Voltage Bus. IEEE Transaction on Power Systems, 2000, 15(2): 496-501
[233] P.W.Sauer, M.A. Pai. Power System Steady-state Stability and the Load-flow Jacobian. IEEE Transaction on Power Systems, 1990, 5(4): 1374-1383
[234] T.V.Cutsem. Voltage Collapse Mechanism: a Case Study. Proceedings of Bulk Power System Voltage Phenomena II, Maryland, USA, 1991, pp. 85-101
[235] I.Dobson. The Irrelevance of Load Dynamics for the Loading Margin to Voltage Collapse and its Sensitivities. Proceedings of Bulk Power System Voltage Phenomena III, Switzerland, 1994, pp. 15-25
[236] E. Bompard, E. Carpaneto, G. Chicco, et al. A Dynamic Interpretation of the Load-flow Jacobian Singularity for Voltage Stability Analysis. International Journal of Electrical Power & Energy Systems, 1996, 18(6): 385-395
[237] M.K.Pal. Voltage Stability Conditions Considering Load Characteristics. IEEE Transactions on Power Systems, 1992, 7(1): 243-249
[238] 包黎昕,段献忠,何仰赞. 状态空间中电压稳定性的动态分析. 中国电机工程学报, 2001, 21(5): 17-22
[239] C.D Vournas, G.A Manos. Modelling of Stalling Motors during Voltage Stability Studies. IEEE Transactions on Power Systems, 1998, 13(3): 775-781
[240] D.C.Franklin, A.Morelato. Improving Dynamic Aggregation of Induction Motor Models. IEEE Transactions on Power Systems, 1994, 9(4):1934-1941
[241] Vournas C D, Pai M A. The Effect of Automatic Voltage Regulation on the Bifurcation Evolution in Power Systems. IEEE Transactions on Power Systems, 1996, 11(4):1683-1688.
[242] F.P.deMello, C.Concordia. Concepts of Synchronous Machine Stability as Affected by Excitation Control. IEEE Transactions on Apparatus & Systems, 1969, PAS88(4): 189-202
[243] 刘宪林,柳棹. 考虑阻尼绕组作用的单机无穷大系统线性化模型. 中国电机工程学报,2000,20(10): 41-45
[244] C.D. Vournas, N.D. Krassas. Voltage Stability as Affected by Static Load Characteristics. IEE Proceedings, Part C: Generation, Transmission and Distribution, 1993, 140(3): 221-228
[245] Zheng Xu, Yixin Yu. Maximum Loadability of Generator-Induction Motor Systems Restricted by Voltage Stability. Proceedings of the International Conference on Electrical Engineering, Matsue, Japan, 1997, pp.212-215
[246] Chen Luonan, Aihara Kazuyuki. Bifurcation Analysis of Hybrid Dynamical Systems. Proceedings of the IEEE International Conference on Systems, Man and Cybernetics, 1998, 1: 857-862
[247] 中国电力科学研究院. 电力系统综合稳定分析程序 6.0 手册. 2000
[248] 李亚楼,周孝信,吴中习. 基于 PC 机群的电力系统机电暂态仿真并行算法. 电网技术, 2003, 27(11): 6-12
[249] R.T.H.Alden, A.A.Shaltout. Analysis of Damping and Synchronizing Torques, Part I – A General Calculation Method. IEEE Transaction on Power Apparatus and Systems, 1979, PAS-98(5): 1696-1700
[250] A.A.Shaltout, R.T.H.Alden. Analysis of Damping and Synchronizing Torques, Part II – Effect of Operating Conditions and Machine Parameters. IEEE Transaction on Power Apparatus and Systems, 1979, PAS-98(5): 1701-1708
[251] A.A.Shaltout, R.A.A.Al-Feilat. Damping and Synchronizing Torque Computation in Multimachine Power Systems. IEEE Transaction on Power Systems, 1992, 7(1): 280-286
[252] J. Matsuki, T. Okada. On-line Calculation of Synchronizing and Damping Torque Coefficients of a Synchronous Generator. IEE Conference Publication, 1991, 341: 316-320
[253] E. Abu-Al-Feilat, M. Bettayeb, H. Al-Duwaish, et. al. Neural Network-based Approach for On-line Dynamic Stability Assessment Using Synchronizing and Damping Torque Coefficients. Electric Power Systems Research, 1996, 39(2): 103-110
[254] E. A. Abu-Al-Feilat, N. Younan, S. Grzybowski. Estimating the Synchronizing and Damping Torque Coefficients Using Kalman Filtering. Electric Power Systems Research, 1999, 52(2): 145-149
[255] J.F.Hauer, C.J.Demeure, L.L.Scharf. Initial Results in Prony Analysis of Power System Response Signals. IEEE Transaction on Power Systems, 1990, 5(1): 80-89
[256] C.E.Grund, J.J.Paserba, J.F.Hauer, et. al. Comparison of Prony and Eigenanalysis for Power System Control Design. IEEE Transaction on Power Systems, 1993, 8(3): 964-970
[257] J.J.Sanchez-Gasca, J.J.Chow. Performance Comparison of Three Identification Methods for the Analysis of Electromechanical Oscillations. IEEE Transaction on Power Systems, 1999, 14(3): 995-1002
[258] D.J.Trudnowski. Order Reduction of Large-scale Linear Oscillatory System Models. IEEE Transaction on Power Systems, 1994, 9(1): 451-458
[259] Γ.Β.ΜИХΗΒИЧ. СИНТЕЗ СРУКРЫ СИСТЕМЫ АВТОМАТИ-ЧЕСКОГО РЕГУЛИРОВАНИЯ СИНХР ОННЫХ МАШИН. 1963г
[260] F.J.Swift, H.F. Wang. The Connection Between Modal Analysis and Electric Torque Analysis in Studying the Oscillation Stability of Multi-machine Power Systems. International Journal of Electrical Power and Energy System, 1997, 19(5): 321-330
[261] D.J.Trudnowski, J.E.Dagle. Effects of Generator and Static-Load Nonlinearities on Electromechanical Oscillations. IEEE Transaction on Power Systems, 1997, 12(3): 1283-1289
[262] H.G.Kwatny, X-M Yu. Energy Analysis of Load-induced Flutter Instability in Classical Modes of Electric Power Networks. IEEE Transaction on Circuits and Systems, 1989, 38: 1544-1557
[263] H.G.Kwatny, G.E.Piper. Frequency Domain Analysis of Hopf Bifurcation in Electric Power Networks. IEEE Transaction on Circuits and Systems, 1990, 37: 1317-1321
[264] M.Klein, G.J.Rogers, S.Moorty, P.Kundur. Analytical Investigation of Factors Influencing Power Systems Stabilizers Performance. IEEE Transaction on Energy Conversion, 1992, 7: 382-390
[265] I.Dobson, Jianfeng Zhang, Scott Greene, Henrik Engdahl, P.W. Sauer. Is Strong Modal Resonance a Precursor to Power System Oscillations? IEEE Transaction on Circuits and Systems I, 2001, 48(3): 340-349
[266] B.M. Nomikos, C.D. Vournas. Modal Interaction and PSS Design. Porto Power Tech Conference, Porto Portugal, Sept. 2001.
[267] 黄纯华. 大型同步发电机运行(第 2 版). 北京:水利电力出版社,1992
[268] C.C.Liu, F.F.Wu. Analysis of Small Disturbance Stability Regions of Power System Models with Real and Reactive Power Flows. Large Scale Systems, 1985, 9: 193-213
[269] 汤涌. 全国互联系统仿真研究中的模型与参数若干问题的讨论. 国家电网公司电力系统稳定工作研讨会论文,2004