IEEE References IEEE Transactions on Power Systems = IEEE Trans Power Syst 1997;12(4):1639–48. IEEE Transactions on Circuit and Systems = IEEE Trans Circ Syst 2007;54(5):432–4. IEEE Transactions on Neural Network = IEEE Trans Neural Net 2008;19(5):845–53. IEEE Transactions on Power Delivery = IEEE Transactions on Automatic Control= IEEE Transactions on Energy Conversion = [2] Gu W. Optimal bifurcation control in power systems. Ph.D. thesis, China: Southeast University; May 2006.

Saddle Node Bifurcation (2013-1989)

[1] Ian Dobson and Liming Lu. Computing an Optimum Direction in Control Space to Avoid Saddle Node Bifurcation and Voltage Collapse in Electric Power Systems. IEEE Transactions on Automatic Control 1992; 37( 10): 1616-1620.

[2] Jin Lu Chih-Wen Liu, James S. Thorp. New Methods for Computing a Saddle-Node Bifurcation Point for Voltage Stability Analysis. IEEE Trans Power Syst 1995; 10(2): 978-989.

[3] G. C. Ejebel G. D. Irisani S. Mokhtari 0. Obadina P. Ristanovic J. Tong. Methods for Contingency Screening and Ranking for Voltage Stability Analysis of Power Systems. IEEE Trans Power Syst 1996; 11(1): 350-356.

[4] M.G. Ortega, J. Aracil, F. Gordillo, and F.R. Rubio. Bifurcation Analysis of a Feedback System with Dead Zone and Saturation. IEEE Control Systems Magazine 2000; Lecture Notes: 91-101.

[5] Ke Chen, Anwar Hussein, Martin E. Bradley, and Haibin Wan. A Performance-Index Guided Continuation Method for Fast Computation of Saddle-Node Bifurcation in Power Systems. IEEE Trans Power Syst 2003; 18(2): 753-760.

[6] Yue Ma, Hiroshi Kawakami and Chi K. Tse. Bifurcation Analysis of Switched Dynamical Systems With Periodically Moving Borders. IEEE Trans Circ Syst -I: Regular Papers 2004; 51(6): 1184-1193.

[7] Rafael J. Avalos, Claudio A. Cañizares, Federico Milano and Antonio J. Conejo. Equivalency of Continuation and Optimization Methods to Determine Saddle-Node and Limit-Induced Bifurcations in Power Systems. IEEE Trans Circ Syst -I: Regular Papers 2009; 56(1): 210-223.

[8] Hsiao-Dong Chiang, Ian Dobson, Robcrt J. Thomas, James S. Thorp and Lazhar Fekih-Ahmed. On Voltage Collapse in Electric Power Systems. IEEE Trans Power Syst 1990; 5(2): 601-611.

[9] Claudio A. Ca˜nizares. Calculating Optimal System Parameters to Maximize the Distance to Saddle-Node Bifurcations. IEEE Trans Circ Syst—I: Fundamental Theory and Applications 1998; 45(3): 225-237.

[10] Claudio A. Cañizares, N. Mithulananthan, Alberto Berizzi, and John Reeve. On the Linear Profile of Indices for the Prediction of Saddle-Node and Limit-Induced Bifurcation Points in Power Systems. IEEE Trans Circ Syst—I: Fundamental Theory and Applications 2003; 50(12): 1588-1595.

[11] Edwin Haesen, Cindy Bastiaensen, Johan Driesen and Ronnie Belmans. A Probabilistic Formulation of Load Margins in Power Systems With Stochastic Generation. IEEE Trans Power Syst 2009; 24(2): 951-958.

[12] Limit-Induced Bifurcation

[1] André Arthur Perleberg Lerm and Aguinaldo Silveira e Silva. Avoiding Hopf Bifurcations in Power Systems via Set-Points Tuning. IEEE Trans Power Syst 2004; 19(2): 1076-1084.

[2] Rafael J. Avalos, Claudio A. Cañizares, Federico Milano and Antonio J. Conejo. Equivalency of Continuation and Optimization Methods to Determine Saddle-Node and Limit-Induced Bifurcations in Power Systems. IEEE Trans Circ Syst -I: Regular Papers 2009; 56(1): 210-223.

[3] Claudio A. Cañizares, N. Mithulananthan, Alberto Berizzi, and John Reeve. On the Linear Profile of Indices for the Prediction of Saddle-Node and Limit-Induced Bifurcation Points in Power Systems. IEEE Trans Circ Syst—I: Fundamental Theory and Applications 2003; 50(12): 1588-1595.

[4] [12] A. A. P. Lerm, C. A. Canizares, F. A. B. Lemos, and A. S. eSilva, “Multi-parameter bifurcation analysis of power systems,” in Proc. North American Power Symp. (NAPS), Cleveland, OH, Oct. 1998.

[5] Hopf Bifurcation (2013-1984)

[1] Pel Yu and Koncay Huseyin. A Perturbation Analysis of Interactive Static and Dynamic Bifurcations. IEEE Transactions on Automatic Control 1988; 33(1): 28-41.

[2] Iven M.Y. Mareels and Robert R. Bitmead. Bifurcation Effects in Robust Adaptive Control. IEEE Trans Circ Syst 1988; 35(7): 835-841.

[3] M.R. Iravani A. Semlyen. Hopf Bifurcations in Torsional Dynamics. IEEE Trans Power Syst 1992; 7(1): 28-6.

[4] W. Zhu R.R. Mohler, R. Spee W.A. Mittelstadt D. Maratukulam. Hopf Bifurcations in a SMlB Power System with SSR. IEEE Trans Power Syst 1996; 11(3): 1579-1584.

[5] Yasunori Mitani and Kiichiro Tsuji. Bifurcations Associated with Sub-Synchronous Resonance. IEEE Trans Power Syst 1998; 13(1): 139-144.

[6] Zhong Li, Jin Bae Park, Young Hoon Joo, Bo Zhang, and Guanrong Chen. Bifurcations and Chaos in a Permanent-Magnet Synchronous Motor. IEEE Trans Circ Syst—I: Fundamental Theory and Applications 2002; 49(3): 383-387.

[7] Leon O. Chua, Motomasa Komuro, and Takashi Matsumoto. The Double Scroll Family. IEEE Trans Circ Syst 1986; 33(11): 1073-1118.

[8] L. Yang, Y. Tang, and D. Du. On Hopf Bifurcations in Singularly Perturbed Systems. IEEE Transactions on Automatic Control 2003; 48(4): 660-664.

[9] F. Dercole, A. Gragnani, Yu. A. Kuznetsov, and S. Rinaldi. Numerical Sliding Bifurcation Analysis: An Application to a Relay Control System. . IEEE Trans Circ Syst—I: Fundamental Theory and Applications 2003; 50(8): 1058-1063.

[10] André Arthur Perleberg Lerm and Aguinaldo Silveira e Silva. Avoiding Hopf Bifurcations in Power Systems via Set-Points Tuning. IEEE Trans Power Syst 2004; 19(2): 1076-1084.

[11] Gaurav Raina. Local Bifurcation Analysis of Some Dual Congestion Control Algorithms. IEEE Transactions on Automatic Control 2005; 50(8): 1135-1146.

[12] M.A. Tomim, B.I.L. Lopes, R.C. Leme, R. Jovita, A.C. Zambroni de Souza, P.P. de Carvalho Mendes and J.W.M. Lima. Modified Hopf bifurcation index for power system stability assessment. IEE Proc.-Gener. Transm. Distrib. 2005; 152(6): 906-912.

[13] Wenwu Yu, Jinde Cao and Guanrong Chen. Stability and Hopf Bifurcation of a General Delayed Recurrent Neural Network. IEEE Trans Neural Net 2008; 19(5): 845-854.

[14] Tiebao Yang and Xiang Chen. Local Robustness of Hopf Bifurcation Stabilization. IEEE Trans Circ Syst—II: Express Briefs 2009; 56(1): 66-70.

[15] Mao Rui. Formula for Analyzing Hopf Bifurcation. Tsinghua Science and Technology 1998; 3(4): 243-1245.

[16] Rong-Liang Chen And Pravin P. Varaiya. Degenerate Hopf Bifurcations in Power Systems. IEEE Trans Circ Syst 1988; 35(7): 818-834.

[17] H. G. Kwatny and G. E. Piper. Frequency Domain Analysis of Hopf Bifurcations in Electric Power Networks. IEEE IEEE Trans Circ Syst 1990; 37(10): 1317-1321.

[18] V. Ajjarapu and B. Lee. Bifurcation Theory and Its Application to Nonlinear Dynamical Phenomena in an Electrical Power System. IEEE Trans Power Syst 1992; 7(1): 424-431.

[19] K. Kim, H. Schattler, V. Venkatasubramanian, J. Zaborszky, P. Hirsch. Methods for Calculating Oscillations in Large Power Systems. IEEE Trans Power Syst 1997; 12(4): 1639-1648.

[20] Frederic Howell and Vaithianathan Venkatasubramanian. Transient Stability Assessment with Unstable Limit Cycle Approximation. IEEE Trans Power Syst 1999; 14(2): 667-677.

[21] Abdelali El Aroudi, Luis Benadero, Eliezer Toribio, and Gerard Olivar. Hopf Bifurcation and Chaos from Torus Breakdown in a PWM Voltage-Controlled DC–DC Boost Converter. . IEEE Trans Circ Syst—I: Fundamental Theory and Applications 1999; 46(11): 1374-1382.

[22] Sergio Gomes, Jr., Nelson Martins and Carlos Portela. Computing Small-Signal Stability Boundaries for Large-Scale Power Systems. IEEE Trans Power Syst 2003; 18(2): 747-752.

[23] Masayuki Watanabe, Yasunori Mitani and Kiichiro Tsuji. A Numerical Method to Evaluate Power System Global Stability Determined by Limit Cycle. IEEE Trans Power Syst 2004; 19(4): 1925-1934.

[24] Daijian Ling and Yang Tao. Erratum to “An Analysis of the Hopf Bifurcation in a Hydroturbine Governing System With Saturation. IEEE Transactions on Energy Conversion 2006; 21(3): 810.

[25] Jaime Arroyo and Ian Dobson. Counterexamples to a Method for Identifying Hopf Bifurcations Without Eigenvalue Calculation. IEEE Trans Circ Syst—II: Express Briefs 2007; 54(5): 432-434.

[26]

Bifurcation (Combine) (2013-1993)

[1] Harry G. Kwatny, Robert F. Fischl and Chika O. Nwankpa. Local Bifurcation in Power Systems: Theory, Computation, and Application. Proceedings of the IEEE 1995; 83(11): 1456-1483.

[2] C. D. Vournas M. A. Pai P. W. Sauer. The effect of Automatic Voltage Regulation on the bifurcation evolution in power systems. IEEE Trans Power Syst 1996; 11(4): 1683-1688.

[3] Yuri V. Makarov Zhao Yang Dong David J. Hill. A Generlal Method for Small Signal Stability Analysis. IEEE Trans Power Syst 1998; 13( 3): 979-985.

[4] André Arthur Perleberg Lerm, Claudio A. Cañizares and Aguinaldo Silveira e Silva. Multiparameter Bifurcation Analysis of the South Brazilian Power System. IEEE Trans Power Syst 2003; 18(2): 737-746.

[5] Meng Yue and Robert Schlueter. Bifurcation Subsystem and Its Application in Power System Analysis. IEEE Trans Power Syst 2004; 19(4): 1885-1893.

[6] A.C. Zambroni de Souza, B.I. Lima Lopes, R.B.L. Guedes, N.G. Bretas, A.C.P. Martins and L.F. Mello. Saddle- node index as bounding value for Hopf bifurcations detection. IEE Proc.-Gener. Transm. Distrib., Vol. 152, No. 5, September 2005: 737-742.

[7] Gustavo Revel, Andrés E. León, Diego M. Alonso and Jorge L. Moiola. Bifurcation Analysis on a Multimachine Power System Model. IEEE Trans Circ Syst—I: Express Briefs 2010; 57(4): 2010 937-949.

[8] Vaithianathan Venkatasubramanian. Singularity Induced Bifurcation and the van der Pol Oscillator. IEEE Trans Circ Syst—I: Fundamental Theory and Applications 1994; 41(11): 765-769.

[9] Claudio A. Caiiizares. On Bifurcations, Voltage Collapse and Load Modeling. IEEE Trans Power Syst 1995; 10(1): 512-522.

[10] Byongjun Lee Venkataramana Ajjarapu. A Piecewise Global Small-Disturbance Voltage-Stability Structure-Preserving Power System Models. IEEE Trans Power Syst 1995; 10(4): 1963-1971.

[11] Weijun Ji and Vaithianathan Venkatasubramanian. Dynamics of a Minimal Power System: Invariant Tori and Quasi-Periodic Motions. IEEE Trans Circ Syst—I: Fundamental Theory and Applications 1995; 42(12): 981-1000.

[12] Vaithianathan Venkatasub Ramanian, Heinz S Chattler, and John Zaborszky. Dynamics of large constrained nonlinear system-A Taxonomy Theory. Proceedings of the IEEE 1995; 83(11): 1530-1561.

[13] C. J. Budd and J. P. Wilson. Bogdanov–Takens Bifurcation Points and Sil’nikov Homoclinicity in a Simple Power-System Model of Voltage Collapse. . IEEE Trans Circ Syst—I: Fundamental Theory and Applications 2002; 49(5): 575-590.

[14] Wieslaw Marszalek and Zdzislaw W. Trzaska. Singularity-Induced Bifurcations in Electrical Power Systems. IEEE Trans Power Syst 2005; 20(1): 312-320.

[15] C. Guoyun, D.J. Hill and R. Hui. Continuation of local bifurcations for power system differential-algebraic equation stability model. IEE Proc.-Gener. Transm. Distrib. 2005; 152(4): 575-580.

[16] A.C. Zambroni de Souza, B.I. Lima Lopes, R.B.L. Guedes, N.G. Bretas, A.C.P. Martins and L.F. Mello. Saddle-node index as bounding value for Hopf bifurcations detection. IEE Proc.-Gener. Transm. Distrib. 2005; 152(5): 737-742.

[17] Bifurcation Study by means of FACTS Controllers (2013- )

[1] K. N. Srivastava and S. C. Srivastava. Elimination of Dynamic Bifurcation and Chaos in Power Systems Using Facts Devices. IEEE Trans Circ Syst—I: Fundamental Theory and Applications 1998; 45(1): 72-78.

[2] Nadarajah Mithulananthan, Claudio A. Canizares, John Reeve and Graham J. Rogers. Comparison of PSS, SVC, and STATCOM Controllers for Damping Power System Oscillations. IEEE Trans Power Syst 2003; 18(2): 786-792.

[3] H.Chen, Y.Wang and R.Zhou. Transient and voltage stability enhancement via coordinated excitation and UPFC control. IEE Proc.-Gener.. Transm. Distrib. 2001; 148(3): 201-208.

[4] Meng Yue and Robert Schlueter. Robust Control Designs for Multiple Bifurcations. IEEE Trans Power Syst 2005; 20(1): 301-311.

[5] Juan Segundo-Ramirez, Aurelio Medina, Arindam Ghosh and Gerard Ledwich. Stability Analysis Based on Bifurcation Theory of the DSTATCOM Operating in Current Control Mode. IEEE Transactions on Power Delivery 2009; 24(3): 1670-1678.

Bifurcation Study by means of other (2013- )

[1] A.M. Mihirig and M.D. Wvong. Transient stability analysis of multimachine power systems by catastrophe theory. IEE Proceedings 1989; 134(4): 254-258.

[2] H. H. C. Iu and C. K. Tse. Bifurcation Behavior in Parallel-Connected Buck Converters. IEEE Trans Circ Syst—I: Fundamental Theory and Applications 2001; 48(2): 233-240.

[3] Zhanybai T. Zhusubaliyev, Evgeniy A. Soukhoterin, and Erik Mosekilde. Quasi-Periodicity and Border-Collision Bifurcations in a DC–DC Converter With Pulsewidth Modulation. IEEE Trans Circ Syst—I: Fundamental Theory and Applications 2003; 50(8): 1047-1057.

[4] Oliver Woywode, Jens Weber, Henry Güldner, Alexander L. Baranovski, and Wolfgang Schwarz. Bifurcation and Statistical Analysis of DC–DC Converters. IEEE Trans Circ Syst—I: Fundamental Theory and Applications 2003; 50(8): 1072-1080.

[5] Frank Wörnle, David K. Harrison, and Chengke Zhou. Analysis of a Ferroresonant Circuit Using Bifurcation Theory and Continuation Techniques. IEEE Transactions on Power Delivery 2005; 20(1): 191-196.

[6] Dong Dai, Chi K. Tse and Xikui Ma. Symbolic Analysis of Switching Systems: Application to Bifurcation Analysis of DC/DC Switching Converters. IEEE Trans Circ Syst—I: Regular Papers 2005; 52(8): 1632-1643.

[7] Feiyu Wang, Almudena Suárez and David B. Rutledge. Bifurcation Analysis of Stabilization Circuits in an L-Band LDMOS 60-W Power Amplifier. IEEE Microwave and Wireless Components Letters 2005; 15(10): 712-714.

[8] Federico Bizzarri, Daniele Stellardo, and Marco Storace. Bifurcation Analysis and Its Experimental Validation for a Hysteresis Circuit Oscillator. IEEE Trans Circ Syst-II: Express Briefs 2006; 53(7): 517-521.

[9] Valentina Lanza, Michele Bonnin, and Marco Gilli. On the Application of the Describing Function Technique to the Bifurcation Analysis of Nonlinear Systems. IEEE Trans Circ Syst—II: Express Briefs 2007; 54(4): 343-347.

[10] Somnath Maity, Divyendu Tripathy, Tapas Kumar Bhattacharya, and Soumitro Banerjee. Bifurcation Analysis of PWM-1 Voltage-Mode-Controlled Buck Converter Using the Exact Discrete Model. IEEE Trans Circ Syst—I: Express Briefs 2007; 54(5): 1120-1130. Books [11-14]

[11] Mario Di Bernardo, Christopher J. Budd, Alan R. Champneys, and Piotr Kowalczyk. Piecewise-Smooth Dynamical Systems: Theory and Applications. Springer-Verlag, 2008. ISBN 978-1-84628-039-9

[12] J.K. Hale and H. Kocak, Dynamics and Bifurcations, 3rd ed. (Texts in Applied Mathematics vol. 3). New York: Springer-Verag, 1996.

[13] J. Awrejcewicz and C.-H. Lamarque, Bifurcation and Chaos in Nonsmooth Mechanical Systems. Singapore: World Scientific, 2003.

[14] R.I. Leine and H. Nijmeijer, Dynamics and Bifurcations in Non-smooth Mechanical Systems, vol. 18. New York: Springer-Verlag, 2004.

[15] Guofeng Zhang and Wei Xing Zheng. Stability and Bifurcation Analysis of a Class of Networked Dynamical Systems. IEEE Trans Circ Syst—II: Express Briefs 2009; 56(8): 664-668.

[16] A. El Aroudi, E. Rodríguez, R. Leyva and E. Alarcón. A Design-Oriented Combined Approach for Bifurcation Prediction in Switched-Mode Power Converters. IEEE Trans Circ Syst—II: Express Briefs 2010; 57(3): 218-222.

[17] Fan Xie, Ru Yang, and Bo Zhang. Bifurcation and Border Collision Analysis of Voltage-Mode-Controlled Flyback Converter Based on Total Ampere-Turns. IEEE Trans Circ Syst—I: Regular Papers 2011; 58(9): 2269-2280.

[18] R.A. Sangrody, J. Nazarzadeh and K.Y. Nikravesh. Bifurcation and Lyapunov’s exponents characteristics of electrical scalar drive systems. IET Power Electron. 2012; 5(7): 1236–1244. doi: 10.1049/iet-pel.2011.0024

[19] Xiaoling Xiong, ChiK. Tse and Xinbo Ruan. Bifurcation Analysis of Standalone Photovoltaic-Battery Hybrid Power System. IEEE Trans Circ Syst—I: Regular Papers 2013; 1-12. Doi. 10.1109/TCSI.2013.2239140

[20] Wang-Qiang Niu, Jian-Xin Chu, Wei Gu, and Ai-Di Shen. Exact Analysis of Frequency Splitting Phenomena of Contactless Power Transfer Systems. IEEE Trans Circ Syst—I: Regular Papers 2013; 1-8. Doi. 10.1109/TCSI.2012.2221172

[21] Byung Ha Lee and Kwang Y. Lee. A Study on Voltage Collapse Mechanism in Electric Power Systems. IEEE Trans Power Syst 1991; 6(3): 966-974.

[22] F.D. GdiaM, LC. Zeng . Analysis Of The Load Flow Behaviour Near A Jacobian Singularity. IEEE Trans Power Syst 1992; 7(3): 1362-1369.

[23] P.S. Bodger, G.D. Irwin, D.A. Woodford and A.M.Gole. Bifurcation route to chaos for a ferroresonant circuit using an electromagnetic transients program. IEE Pior.-Gener Tvansm. Dmvib. 1996; 143(3): 238-242.

[24] Mario di Bernardo, Franco Garofalo, Luigi Glielmo, and Francesco Vasca. Switchings, Bifurcations, and Chaos in DC/DC Converters. IEEE Trans Circ Syst—I: Fundamental Theory and Applications 1998; 45(2): 133-141.

[25] T.Van Craenenbroeck, W.Michiels, D.Van Dommelen and K.Lust. Bifurcation Analysis of Three-phase Ferroresonant Oscillations in Ungrounded Power Sytems. IEEE Transactions on Power Delivery 1999; 14(2): 531-536.

[26] Mario di Bernardo, and Francesco Vasca. Discrete-Time Maps for the Analysis of Bifurcations and Chaos in DC/DC Converters. IEEE Trans Circ Syst—I: Fundamental Theory and Applications 2000; 47(2): 130-143.

[27] A.C. Zamnbroni de Soma, J. Macicl Who. Idcntifyimg a Vanishing Eigenvalue in Voltage Collapse Analysis with Limits Consideration. IEEE Power Engineering Review 2000; 76-77.

[28] C. K. Tse, Y. M. Lai and H. H. C. Iu. Hopf Bifurcation and Chaos in a Free-Running Current-Controlled Cuk Switching Regulator. IEEE Trans Circ Syst—I: Fundamental Theory and Applications 2000; 47(4): 448-457.

[29] Soumitro Banerjee, M. S. Karthik, Guohui Yuan, and James A. Yorke. Bifurcations in One-Dimensional Piecewise Smooth Maps—Theory and Applications in Switching Circuits. . IEEE Trans Circ Syst—I: Fundamental Theory and Applications 2000; 47(3): 389-394.

[30] Soumitro Banerjee, Priya Ranjan, and Celso Grebogi. Bifurcations in Two-Dimensional Piecewise Smooth Maps-Theory and Applications in Switching Circuits. IEEE Trans Circ Syst—I: Fundamental Theory and Applications 2000; 47(5): 633-643.

[31] Alexander J. Flueck, Renuka Gonella, and Jayabharath R. Dondeti, A New Power Sensitivity Method of Ranking Branch Outage Contingencies for Voltage Collapse. IEEE Trans Power Syst 2002; 17(2): 265-270.

[32] Niu Xize and Qiu Jiajun. Investigation of Torsional Instability, Bifurcation, and Chaos of a Generator Set. IEEE Transactions on Energy Conversion 2002; 17(2): 164-168.

[33] Harry G. Kwatny, Arun K. Pasrija and Leon Y. Bahar. Static Bifurcations in Electric Power Networks: Loss of Steady-State Stability, and Voltage Collapse. IEEE Trans Circ Syst 1986; CAS-33(10): 981-991.

[34] K.W.E. Cheng, M. Liu and J. Wu. Experimental study of bifurcation and chaos in the Buck-Boost converter. IEE Proc. EIectr Power Appl. 2003; 50(1): 45-61.

[35] H. H. C. Iu and C. K. Tse. Study of Low-Frequency Bifurcation Phenomena of a Parallel-Connected Boost Converter System Via Simple Averaged Models. IEEE Trans Circ Syst—I: Fundamental Theory and Applications 2003; 50(5): 679-686.

[36] D. Subbarao and Krishna K. Singh. Hysteresis and Bifurcations in the Classical Model of Generator. IEEE Trans Power Syst 2004; 19(4): 1918-1924.

[37] M.A. Gomez-Martınez, A. Medina and C.R. Fuerte-Esquivel. AC arc furnace stability analysis based on bifurcation Theory. IEE Proc.-Gener. Transm. Distrib. 2006; 153(4): 463- 468.

[38] Application of AI in Bifurcation Analysis (2013- )

[1] Xiaofeng Liao, Zhongfu Wu, and Juebang Yu. Stability Switches and Bifurcation Analysis of a Neural Network with Continuously Delay. IEEE Transactions on Systems, Man, and Cybernetics—Part A: Systems and Humans 1999; 29(6): 692-696.

[2] Federico Cuesta, Enrique Ponce, and Javier Aracil. Local and Global Bifurcations in Simple Takagi–Sugeno Fuzzy Systems. IEEE Transactions on Fuzzy Systems 2001; 9(2): 355-368.

[3] Hiroyuki Mori Naoto Ishibashi. A Hybrid Intelligent System for Estimating a Load Margin to Saddle Node Bifurcation Point of Voltage Stability. 978-1-4244-5098-5/09/$26.00 ©2009 IEEE: 1-6.

[4] H. Razmi, M. Teshnehlab and H.A. Shayanfar. Neural network based on a genetic algorithm for power system loading margin estimation. IET Gener. Transm. Distrib. 2012; 6(11): 1153–1163. doi: 10.1049/iet-gtd.2012.0090

[5] Bifurcation Software

[1] Saffet Ayasun, Chika O. Nwankpa and Harry G. Kwatny. Voltage Stability Toolbox for Power System Education and Research. IEEE Transactions on Education 2006; 49(4): 432-441.

OTHER References [LIB] [8] I. Dobson and L. Lu, “Immediate change in stability and voltage collapse when generator reactive power limits are encountered,” in Proc. Bulk-Power Voltage Phenomena II – Voltage Stability and Security, Deep Creek Lake, MD, Aug. 1991, pp. 65–73. [9] C. A. Cañizares and F. L. Alvarado, “Point of collapse and continuation methods for large AC/DC systems,” IEEE Trans. Power Syst., vol. 8, pp. 1–8, Feb. 1993.