Low Frequency Oscillations in Power Systems: A Review

International Journal of Electrical and Electronics Engineering
© 2014 by SSRG - IJEEE Journal
Volume 1 Issue 4
Year of Publication : 2014
Authors : Lod Tapin, Dr. Ram Krishna Mehta
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How to Cite?

Lod Tapin, Dr. Ram Krishna Mehta, "Low Frequency Oscillations in Power Systems: A Review," SSRG International Journal of Electrical and Electronics Engineering, vol. 1,  no. 4, pp. 6-17, 2014. Crossref, https://doi.org/10.14445/23488379/IJEEE-V1I4P102

Abstract:

Low frequency oscillations (LFO) are a frequent harmful phenomenon which increases the risk of instability for the power system. They limit the steady-state power transfer and change the operational system economics and security. The identification of LFO and solution to LFO problems with reference to power system stabilizer is carried out in this literature survey

Keywords:

oscillations in OMIB,Low frequency oscillations (LFO)

References:

[1] F. P. Demello and C. Concordia, “Concepts of synchronous machine stability as affected by excitation control,” IEEE Trans. on Power Apparatus and Systems, pp. 316-329, 1969.
[2] Z. Hu, J. V. Milanovic, “Damping of inter-area oscillations by WAM based supplementary controller”, in Proc. of IEEE PES General Meeting 2007, Tampa, Florida, USA 24-28, pp. 1-7, June 2007.
[3] Vittal V, Bhatia N, Fouad A A. “Analysis of the inter-area mode phenomena, in power systems following large disturbances”. IEEE Transactions on Power Systems, vol.6, no.4, pp.1515-1521, 1991.
[4] Di-Chen Liu, Member, IEEE, Pan Liu, Jing Wang, Xiao-Jie Pan and Chong Ren, “The Study of Suppressing the Low-Frequency Oscillations of Central China Power Grid Based on PSS”, 978-7- 900714-13-8/08/ ©2008DRPT.
[5] Ke Zhang, Yanzhu Ye, Lang Chen, Yingchen Zhang, R. Matthew Gardner and Yilu Liu, “FNET Observations of Low Frequency Oscillations in the Eastern Interconnection and Their Correlation with System Events”, 978-1-4577-1002-5/11/$26.00 ©2011 IEEE.
[6] F. Aboytes, F. Sanchez, A.I. Murcia Cabra, and J.E. Gomez Castro, “Dynamic stability analysis of the interconnected Colombia-Venezuela power systems,” IEEE Trans. Power Systems, vol. 15, no. 1, pp. 376- 381, February 2000.
[7] U. Bachmann, I. Erlich, E. Grebe, “Analysis of inter area oscillations in the European electric power system in synchronous parallel operation with the Central-European networks,” in Proc. of Int.Conf. Electric Power Engineering, Budapest, Hungary, pp. 49, August/September 1999.
[8] W. Xue, W.Y. Li, K.N. Cao, and Y. Zhao, “Improvement of dynamic stability of Yunan province and South-China power system by power system stabilizer (PSS),” in Proc. of Int. Conf. Power System Technology, vol. 3, Perth, Western Australia, December 2000, pp. 1179-1183.
[9] X.Q. Yang, A. Feliachi, and R. Adapa, “Damping enhancement in the western U.S. power system: a case study,” IEEE Trans. Power Systems, vol. 10, no. 3, pp. 1271-1278, August 1995.
[10] E.Z. Zhou, O.P. Malik, and G.S. Hope, “Theory and method for selection of power system stabilizer location,” IEEE Trans. Energy Conversion, vol. 6, no. 1, pp. 170-176, March 1991.
[11] Wang Tieqiang. The mechanism study of low frequency oscillation power system [J].Proceeding of the CSEE,2002,22(2);21-25.
[12] M. A. Pai, D P Sen Gupta, K R Padiyar ,”Small Signal Analysis of Power Systems”Alpha Science International Ltd.,2004 ,p 45.
[13] Kundur Prabha,” Power System Stability and Control”, McGraw-Hill, USA,1994, p 766.
[14] H.Goronkin and G.N Maracas, “LOW FREQUENCY OSCILLATIONS IN UNDOPED GaAs AS A PROBE TO LEVEL PARAMETERS”, CH2099-0/84/0000-0182 $1.00@ 1984 IEDM.
[15] M. B. Das and P. K. Ghosh, “Low frequency emissions from deep levels in GaAs MESFETs,” Electron. Lett., vol. 18, no. 5, Mar. 1982.
[16] P. Canfield and L. Forbes, “Gate-bias-dependent low frequency Oscillations in GaAs MISFET’s,” IEEE Electron Device Lett., vol. EDL-6, no. 5, pp. 227-228, May 1985.
[17] S. Makram-Ebeid and P. Minondo, “Side-gating in GaAs integrated c,ircuits: surface and bulk related phenomena,” in GaAs IC Syntp. Tech. Dig., 1983.
[18] DANIEL J. MILLER AND MARINA BUJATTI, MEMBER, IEEE, “Mechanisms for Low- Frequency Oscillations in GaAs FET’s”, IEEE TRANSACTIONS ON ELECTRON DEVICES, VOL. ED-34, NO. 6, JUNE 1987.
[19] Linmang Wang and Hongyu Wang, “The Effect of Prime Moves and Governors on the Low Frequency Oscillations of Yunnan Power Grid”.
[20] Tang Yong, “The analysis of forced power oscillation in power system,” Power System Technology, vol. 19, No.12. 1995, pp. 6-10.
[21] Wang Tieqiang, He Ren-mu, Xu Dongjie, et al, “The mechamsm study of low frequency oscillation in power system,” . Proceeding of the CSEE, vol. 22, No.2. Feb. 2002, pp. 21-25.
[22] Han Zhiyong, He Renmu, Xu Yanhui, “Power system low frequency oscillation of resonance mechanism induced by turbo-pressure pulsation,” J. Proceedings of the CSEE, vol. 25, No.21. Dec. 2005, pp. 14-18.
[23] Tang Yong, “Fundamental theory of forced power oscillation in power system,” . Power System Technology, vol. 30, No.10. Dec. 2006, pp. 29-33.
[24] HAN Zhi-yong, HE Ren-mu, XU Yan-hui, “Study on Resonance Mechanism of Power System Low Frequency Oscillation Induced by Turbopressure Pulsation,” Proceedings of the CSEE, vol. 28, No.1. Jan. 2008, pp.47-51.
[25] Han Zhiyong, He Renmu, Xu Yanhui, “Power system low frequency oscillation of resonance mechanism induced by turbo-pressure pulsation,” J. Proceedings of the CSEE, vol. 25, No.21. Dec. 2005, pp. 14-18.
[26] Chandrabhan Sharma and Parasnath Singh, “ Contribution of Loads to Low Frequency Oscillations in Power System Operation”, 2007 iREP Symposium- Bulk Power System Dynamics and Control - VII, Revitalizing Operational Reliability August 19-24, 2007, Charleston, SC, USA, 1-4244- 1519-5/07/$25.00 ©2007 IEEE.
[27] B. Pai, B. Chaudhuri, "Robust Control in Power Systems", Springer, New York, USA, 2005. S. Avdakovic1, A. Nuhanovic2, M. Kusljugic2, E. Becirovic1, M. Music1, “Identification Of Low Frequency Oscillations In Power System”.
[28] S. Avdakovic1, A. Nuhanovic2, M. Kusljugic2, E. Becirovic1, M. Music1, “Identification Of Low Frequency Oscillations In Power System”.
[29] Chung-Liang Chang, Ah-Shing Liu, Chiang- Tsung Huang, “Oscillatory Stability Analysis Using Real-Time Measured Data,” IEEE Trans. On Power Systems, Vol. 8, pp. 823-829, August 1993.
[30] J.V. Milanovic, “Damping of the low-frequency oscillations of the generator: dynamic interactions and the effectiveness of the controllers,” Generation, Transmission and Distribution, IEE Proceedings-, Vol. 149, Issue 6, Nov. 2002,pp: 753-760 .
[31] X.P. Chen, and K.L. Lo, “Design of an Optimal Robust Model Matching Controller for the Elimination of Interarea Power System Oscillation,” Industrial Electronics, 1992, Proceedings of the IEEE International Symposium on, May 25-29 1992, pp. 206-210 vol. 1.
[32] Wang Tieqiang, The mechanism study of low frequency oscillation power system [J].Proceeding of the CSEE,2002,22(2);21-25.
[33] I. Gorelov, J. M. Lohr, D. Ponce, R. W. Callis, H. Izeki, R. A. Legg, and S. E. Tsimring, “Gyrotron performance on the 110 GHz installation at the DIIID Tokamak,” presented at the 24th Int. Conf. Infrared Millimiter Waves, Monterey, CA, Sep. 1999, Paper TU–D8 (1999).
[34] B. Piosczyk, A. Arnold, G. Dammertz, O. Dumbrajs, M. Kuntze, and M. K. Thumm, “Coaxial cavity gyrotron—Recent experimental results,” IEEE Trans. Plasma. Sci., vol. 30, no. 3, pp. 819–827, Jun. 2002.
[35] HAN Zhong-xu1, ZHU Ze-lei2, TIAN Xinshou1, LI Fang1, “Analysis and Simulation Research on Power System Low Frequency Oscillation”, 2010 Second International Conference on Computer Modeling and Simulation, 978-0-7695-3941-6/10 $26.00 © 2010 IEEE.
[36] Xiao Jinyu, Xie Xiaorong, Hu Zhixiang, and Han Yingduo. “Improved Prony method for online identification of low-frequency oscillations in power systems”. Journal of Tsinghua University(Science & Technology),2004,44(7):883-887.
[37] Ma Yanfeng, Zhao Shuqiang, Liu Sen and Gun Xueping, “Online identification of low-frequency oscillations based on improved multisignal Prony algorithm, ” Power System Technology, 2007,31(15):43- 49,50.
[38] Zhang Pengfei, Xue Yusheng, and Zhang Qiping, “Power system time varying oscillation analysis with wavelet ridge algorithm,” Automation of Electric Power Systems, 2004, 28(16):32-35,66.
[39] Li Tianyun, Xie Jiaan, Zhang Fangyan, and Li Xiaochen, “Application of HHT for extracting model parameters of low frequency oscillations in power systems,” Proceedings of the CSEE, 2007, 27(8): 79- 83.
[40] Mu Gang, Shi Kunpeng, An Jun, Li Peng, and Yan Gangui. “Signal energy method based on EMD and its application to research of low frequency oscillations in power systems,” Proceedings of the CSEE, 2008, 28(19): 36-41.
[41] Trudnowski D J, Johnson J M, and Hauer J F, “Making Prony analysis more accurate using multiple signals,” IEEE Transaction on Power Systems, 1999,14(1):226-231.
[42] Yang J N, Lei Y, Pan S, and et al, “System identification of linear structures based on Hilbert– Huang spectral analysis,” Part 1: normal modes. Earthquake Engineering and Structural Dynamics, 2003, 32(10):1443- 1467.
[43] Yang J N, Lei Y, Pan S, and et al, “System identification of linear structures based on Hilbert– Huang spectral analysis,” Part 2: Complex modes. Earthquake Engineering and Structural Dynamics, 2003, 32(10):1533-1554.
[44] L. Qi, L. Qian, S. Woodruff, D. Cartes, "Prony Analysis for Power System Transient Harmonics", EURASIP Journal on Advances in Signal Processing, vol. 2007, no. 48406, December, 2006.
[45] E. Grund, J. J. Paserba, J. J. Hauer and S. L. Nilsson, “Comparison of Prony and eigenalysis for power system control design,” IEEE Trans. On power systems, vol 8, pp. 964-971, Aug. 1993.
[46] J.Liu, “The application of the Prony method in restraint the low frequency oscillation of power system,” Master. Dissertation, Sichuan University, 2006.
[47] Lan Ding, Ancheng Xue, Member, IEEE, Fukun Han, JinLi, Maohai Wang, Tianshu Bi, Senior Member, IEEE, and Jinping Wang” Dominant Mode Identification for Low Frequency Oscillations of Power Systems based on Prony Algorithm”, 978-1- 4244-8081-4/10/$26.00 ©2010 IEEE.
[48] J. Xiao, X. Xie, Y. Han, and J. Wu, “Dynamic tracking of low-frequency oscillations with improved Prony method in wide-area measurement system,” in Proc. IEEE Power Eng. Soc. General Meeting, 2004, no. 1, Jun. 2004, pp. 1104–1109.
[49] R. Kumaresan and D. W. Tufts , “Estimating the parameters of exponentially damped sinusoids and pole-zero modeling in noise,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-30, no. 6, pp. 833–840, Dec. 1982.
[50] P. Tripathy, Student Member, IEEE, S. C. Srivastava, Senior Member, IEEE, “A Noise Space Decomposition based Method for Identifying Low frequency Oscillations using Synchro-Phasor Measurements”, 978-1-4244-6551 4/10/$26.00 ©2010 IEEE.
[51] M. Misiti, Y. Misiti, G. Oppenheim, J.M Poggy. (2007). Wavelet ToolboxTM 4 User's Guide. http:// www.mathworks.com.
[52] K. Mei, S.M. Rovnyak, C.M. Ong, "Dynamic Event Detection Using Wavelet Analysis", IEEE Power Engineering Society General Meeting, Montreal, Canada, 2006.
[53] A. Ukil, R. Zivanovic, "Abrupt Change Detection in power System Fault Analysis using Wavelet Transform", Int. Conference on Power Systems Transient. Montreal, Canada, 2005, Paper No. IPST05-202.
[54] D. Radunovic, "Wavelet (Talasi_i)", Akademska misao Beograd, Serbia, 2005.]…[A. Mertins, "Signal analysis: Wavelets, Filter Banks, Time-Frequency, Transforms and Applications", John Wiley&Sons Ltd, 1999.
[55] M. Bronzini, S. Bruno, De Benedictis, La Scala, "Power system modal identification via wavelet analysis", IEEEPower Tech, Lausanne, 2007, 2041 – 2046.
[56] S. Nath, A. Dey, A. Chakrabarti, "Detection of Power Quality Disturbances Using Wavelet Transform", Proceedings of International Conference on Electrical Engineering -World Congress on Science, Engineering and Technology, Dubai, United Arab Emirates, 2009. pp. 2070- 3740.
[57] M. Bronzini, S. Bruno, De Benedictis, La Scala, "Taking the pulse of Power Systems: Monitoring Oscillations by Wavelet Analysis and Wide Area Measurement System", IEEE-PES Power Systems Conference and Exposition, Atlanta, USA, 2006, 436- 443.
[58] George Angelidis and Adam Semiyen, “IMPROVED METHODOLOGIES FOR THE CAUXJLATION OFCRITICAL EIGENVALUES IN SMALL SIGNAL STABILITY ANALYSIS ”,IEEE Transactions on Power Systems, Vol. 11, No. 3, August 1996.
[59] Hua Ye, Yutian Liu, Senior Member, IEEE, and Xinsheng Niu, “Low Frequency Oscillation Analysis and Damping Based on Prony Method and Sparse Eigenvalue Technique”, 0-7803-8812-7/05/$20.00 ©2006 IEEE.
[60] P. Tripathy, s.c. Srivastava and S.N. Singh, “An Improved Prony Method for Identifying Low frequency Oscillations using Synchro-Phasor Measurements”, 2009 Third International Conference on Power Systems, Kharagpur, INDIA December 27- 29, 978-1-4244-4331-4/09/$25.00 ©2009 IEEE.
[61] Yishu Zhao, Yang Gao, Zhijian Hu and Yongjun Yang, Jie Zhan, Yan Zhang, “A New Method of Identifying the Low Frequency Oscillations of Power Systems”, 2009 International Conference on Energy and Environment Technology, 978-0-7695-3819-8/09 $26.00 © 2009 IEEE.
[62] V. S. Patel, S. K. Bhil, F. S. Kazi and S. R. Wagh, “Energy-Sorted Prony Analysis for Identification of Dominant Low Frequency Oscillations”,November 4-5, 2013, Perth, Australia ISBN 978- 2013 Australian Control Conference.
[63] Y. X. Ni, S. Chen and B. Zhang, Dynamic Power System Theory and Analysis. Beijing:Tsinghua University Press, 2002.
[64] L. Satish, Short-time Fourier and wavelet transforms for fault detectionin power transformers during impulse tests, IEE Proceedings Science Measurement Technology, vol. 145, no. 2, pp. 77–84, Mar. 1998
[65] N. E. Huang, Computer Implicated Empirical Mode Decomposition Method, Apparatus, and Article of Manufacture, U.S.Provisional Application, No.60/023, 822,1996.
[66] N.E.Huang, The Empirical Mode Decomposition and the Hilbert Spectrum for Nonlinear and Nonstationary Time Series Analysis, Proc.R.Soc.Lond.A,1998, 454:903-995.
[67] Jin LI, Ancheng XUE, Jinping WANG, Lan DING, Maohai WANG, Tianshu BI, and Fukun HAN, “A New Node Contribution Factors for the Low Frequency Oscillations of Power System Based on the PMU’s Data and HHT” 978-1-4244-8081- 4/10/$26.00 ©2010 IEEE.
[68] Mingqiang Fang, Kan Zeng ,Yingjian Liu & Qian Feng, “Detecting Low Frequency Oscillations of the Pacific Ocean by the Ocean Upper Layer Temperature Data”, 0-7803-7929-2/03/$17.00 (C) 2003 IEEE.
[69] Kwang M. Son, Member, IEEE, and Robert H. Lasseter, Fellow, IEEE, “A Newton-Type Current Injection Model of UPFC for Studying Low- Frequency Oscillations”, IEEE TRANSACTIONS ON POWER DELIVERY, VOL. 19, NO. 2, APRIL 2004
[70] K. R. Padiyar and K. U. Rao, “Modeling and control of unified power flow controller for transient stability,” Int. J. Electr. Power Energy Syst., vol. 21, no. 1, pp. 1–11, 1999.
[71] Z. Huang, Y. Ni, C. M. Shen, F. F. Wu, S. Chen, and B. Zhang, “Application of unified power flow controller in interconnected power systems— Modeling, interface, control strategy and case study,” IEEE Trans. Power Syst., vol. 15, pp. 817–824, May 2000.
[72] H. F. Wang, “A unified model for the analysis of FACTS devices in damping power system oscillations—Part III: Unified power flow controller,” IEEE Trans. Power Delivery, vol. 15, pp. 978–983, July 2000.
[73] Ying Huang, Zheng Xu, Member, IEEE, Wulue Pan” A Practical Analysis Method of Low Frequency Oscillation for Large Power Systems”.
[74] Xianshan Li, Chunli Zhang, Jianguo Zhu, and Xiangyong Hu,” The Effect of Hydro Turbines and Governors on Power System Low Frequency Oscillations”, 2006 International Conference on Power System Technology.
[75] Cheng Wu, and Jing Zhang, “Determining Modes of Low Frequency Oscillations Based on Power Oscillation Flows in the Tie Lines”, 978-1- 4244-4241-6/09/$25.00 ©2009 IEEE.
[76] Wang Fangzong, Li Chengcheng, “Online Identification of Low-Frequency Oscillation Based on Principal Component Analysis Subspace Tracking Algorithm”, 978-1-4244-4813 5/10/$25.00 ©2010 IEEE.
[77] MA Yan-feng, ZHAO Shu-qiang and HU Yongqiang, “Identification of Low-frequency Oscillations in Power Systems Based on Improved HHT”, 978-1- 4244-6255-1/11/$26.00 ©2011 IEEE.
[78] Chen Xiangyi, Li Chunyan and Wang Yunli, “Analysis of the Inter-area Low Frequency Oscillations in Large Scale Power Systems”, 978-1- 4244-8756-1/11/$26.00_c 2011 IEEE.
[79] “Using Power System Stabilizers (Pss) And Shunt Static Var Compensator (Svc) For Damping Oscillations In Electrical Power System”, Dr. Hussein Thani Rishag Department of Electromechanical Engineering, University of Technology/Baghdad
[80] Practical Utility Experience with Application of Power System Stabilizers, G.R. BCrubC, L.M. Hajagos and Roger Beaulieu, 0-7803-5569- 5/99/$10.00 0 1999 IEEE.
[81] Effect of High-speed Rectifier Excitation Systems on Generator Stability Limits, P.L.Dandeno,A.N.Km,K.R McClymont and W. Watson, IEEE Trans. Vol.PAS-87 January 1968, pp.190-201.
[82] Excitation Control to Improve Power Line Stability, F.R. Schleif, H.D. Hunkins, G.E. Martin, and E.E. Hattan, IEEE Trans. Vol. PAS-87, June 1968, pp. 1426-1434.
[83] Experience with Supplementary Damping Signals for Generator Static Excitation Systems, W. Watson, G. Manchur, IEEE Trans., Vol. PAS-92, Jan/Feb 1973, pp199-203
[84] Design of a Power System Stabilizer Sensing Frequency Deviation, F.W. Keay, W.H. South, IEEE Trans., Vol. PAS-90, Mar/Apr 1971, pp 707-713.
[85] A Power System Stabilizer for Thermal Units Based on Derivation of Accelerating Power, J.P. Bayne, D.C. Lee, W. Watson, IEEE Trans., Vol. PAS-96, Nov Dec 1977.
[86] Static Exciter Stabilizing Signals on Large Generators - Mechanical Problems, W. Watson, M.E. Coultes, IEEE Trans. Vol. PAS92-1, Jan/Feb 1973, pp 204-212.
[87] E. V. Larsen and D. A. Swann, “Applying power system stabilizers Part I ” IEEE Trans. Power App. Syst., vol. PAS-100, pp. 3017–3046, June 1981.
[88] E. V. Larsen and D. A. Swann, “Applying power system stabilizers Part II ” IEEE Trans. Power App. Syst., vol. PAS-100, pp. 3017–3046, June 1981.
[89] E. V. Larsen and D. A. Swann, “Applying power system stabilizers Part III” IEEE Trans. Power App. Syst., vol. PAS-100, pp. 3017–3046, June 1981. PSS DESIGN CONCEPTS
[90] Tai C. Yang, “WEIGHTING FUNCTION SELECTION BASED POWER SYSTEM STABILIZER FOR H∞DESIGN”, 0-7803-2550- 8/95$4.00O1995 IEEE.
[91] R. Asgharian, “A robust H∞ power system stability with no adverse effect on shaft torsional modes”, IEEE Trans., Vol.EC-9,No.3, pp.475-481, 1994.
[92] J.H.Chow, L.P. Harris, M.A. Kale, H.A.Othman, J.J.Sanchez-Gasca, “Robust control design of power system stabilizers using multivariable frequency domain techniques”, Proc. 29th CDC Conf. pp.2067- 2073, Dec. 1990.
[93] Yang T C and Munro N, 1991, “Power system stabiliser design based on the pole assignment technique for SIMO systems”, Int. J. Electrical Power and Energy Systems, -13, 298-302.
[94] T C Yang and N Munro, “APPLICATION OF A POLE ASSIGNMENT ALGORITHM TO MULTIMACHINE POWER SYSTEM STABILISER DESIGN”, UKACC International Conference on CONTROL '96,2-5 September 1996, Conference Publication No. 427 @ IEE 1996.
[95] Yeonghain Chun , Takuhiko Ohashi , Yoichi Hori ,Kook Hun Kim, Jong Bo Ahn, Seok Joo Kim, “Robust Power System Stabilizer Design with H∞ Optimization Method and Its Experiment on a Hardware Simulator”, 0-7803-3823-5/97/$10.000 1997 IEEE.
[96] J.H.Chow, L.P. Harris, M.A. Kale, H.A.Othman, J.J.Sanchez-Gasca, “Robust control design of power system stabilizers using multivariable frequency domain techniques”, Proc. 29th CDC Conf. pp.2067- 2073, Dec. 1990.
[97] Amitava Sil, T. K. Gangopadhyay, S. Paul, A. K. Maitra, “Design of Robust Power System Stabilizer Using H∞ Mixed Sensitivity Technique”, 2009 Third International Conference on Power Systems, Kharagpur, INDIA December 27-29, 978-1-4244- 4331-4/09/$25.00 ©2009 IEEE.
[98] Skogestad Sigurd & Postlethwaite Ian – “Multivariable Feedback Control Analysis and Design” (John Wiley & Sons, Ltd).
[99] B. Chaudhuri, B. C. Pal, A C. Zolotas, I. M. Jaimoukha and T. C. Green – Mixed-Sensitivity Approach to H∞ Control of Power System Oscillations Employing Multiple FACTS Devices – IEEE Trans. Power Systems, vol. 18, No. 3, August 2003 pp. 1149–1156.
[100] H.F. Wang, “Application of an Eigensolution Free Method to Design Power System FACTS-based Stabilizers”, 0-7803-5546-6/99/$10.00 @ 1999 IEEE.
[101] WANG, H.F., SWIFT, F.J., and LI, M.‘Selection of installing locations and feedback signals of FACTS based stabilizers in multi-machine power systems by reduced-order modal analysis’, ZEE Proc. , Gener. Transm. Distrib., 1997, 144, (3), pp263-269.
[102] Prabha Kundur, Power System Stability and Control, Beijing: China Electric Power Press, 2002.
[103] Hu Guoqiang, He Renmu, Yang Huachun, Wang Peng, Ma Rui, “Iterative Prony Method Based Power System Low Frequency Oscillation Mode Analysis and PSS Design”, 2005 IEEE/PES Transmission and Distribution Conference & Exhibition: Asia and Pacific Dalian, China.
[104] S. Baluja, "Population-Based Incremental Learning: A method for Integrating Genetic Search Based Function Optimization and Competitive Learning," Technical Report CMU-CS-94-163, Carnegie Mellon University, 1994.
[105] S. Baluja and R. Caruana, “Removing the Genetics from the Standard Genetic Algorithm”, Technical Report CMU-CS-95-141, Carnegie Mellon University, 1995.
[106] K. A. Folly, “Design of Power System Stabilizer: A Comparison Between Genetic Algorithms (GAs) and Population-Based Incremental Learning (PBIL)”, 1-4244-0493-2/06/$20.00 ©2006 IEEE.
[107] Severus Sheetekela, Student Member, IEEE, Komla Agbenyo Folly*, Member, IEEE, “Breeder Genetic Algorithm for Power System Stabilizer Design”, 978-1-4244-8126-2/10/$26.00 ©2010 IEEE
[108] John Greene,”The basic idea behind the Breeder Genetic Algorithm” Department of electrical engineering, Technical Report, UCT, 23 August 2005
[109] S. P. Ghoshal, A. Chatterjee, V. Mukherjee,”Bio-inspired fuzzy logic based tuning of power system stabilizer”, Expert Systems with Applications 36 (2009) 9281–9292.
[110] E. Daryabeigi, M. Moazzami, A. Khodabakhshian , M. H. Mazidi, “A NEW POWER SYSTEM STABILIZER DESIGN BY USING SMART BACTERIA FORAGING ALGORITHM”, IEEE CCECE 2011 – 000713.
[111] J. Kennedy and R.C. Eberhart, “Particle Swarm Optimization”, in Proc. IEEE Conf. Neural Networks IV, Piscataway, NJ , 1995.
[112] O. K. Erol, I. Eksin, “A new optimization method: Big Bang- Big crunch”, Adv. Eng. Software, vol. 37, 2006, pp. 106-111.
[113] H. M. Genc, O. K. Erol, I. Eksin, “An Application and Solution to Gate Assignment Problem for Atatürk Airport”, DECOMM 2009, 2009, pp. 125-130.
[114] T. Kumbasar, E. Yesil, I. Eksin, M. Guzelkaya, “Inverse fuzzy model control with online adaptation via big bang-big crunch optimization”, 3rd Int. Symp. on Communications, Control, and Signal Processing, 2008, pp. 697-702.
[115] M. Dogan, Y. Istefanopulos, “Optimal nonlinear controller design for flexible robot manipulators with adaptive internal model”, lET Control Theory and Applications, vol. 1(3), 2007, pp. 770-778.
[116] H. M. Genc, A. K. Hocaoglu, “Bearing-only target tracking based on Big Bang - Big Crunch algorithm”, The 3rd Int. Multi-Conference on Computing in the Global Information Technology, 2008, pp. 229-233.
[117] D. Karaboga, B. Basturk, On The Performance of Artificial Bee Colony (ABC) Algorithm, Applied Soft Computing, Volume 8, Issue 1, January 2008, pp. 687-697.
[118] D. Karaboga, B. Basturk, A powerful and Efficient Algorithm for Numerical Function Optimization: Artificial Bee Colony (ABC) Algorithm, Journal of Global Optimization, Vol.39, Issue 3, November 2007, pp. 459-171.
[119] G. Naresh, M. Ramalinga Raju and M. Sai Krishna, “Design and Parameters Optimization of Multi-machine Power System Stabilizers Using Artificial Bee Colony Algorithm”, 978-1-4673-2043- 6/12/$31.00 ©2012 IEEE.
[120] Manisha Dubey and Yogendra Kumar, “Design of Interactive Artificial Bee Colony Based Multiband Power System Stabilizers in MultiMachine Power System”, 978-1-4673-6153-8/13/$31.00@2013 IEEE.
[121] S Paul and K RO, “Optimal Design of Power System Stabilizer Using Oppositional Gravitational Search Algorithm”, Proceedings of 2014 1st International Conference on Non Conventional Energy (ICONCE 2014.
[122] H. F. Wang, "Applications of modelling UPFC into multi-machine power systems," IEE Proc. Gener. Transm. Distrib., vol. 146, pp. 306- 312, 1999.
[123] S. Mishra, "Neural-network-based adaptive UPFC for improving transient stability performance of power system," IEEE Trans. Neural Networks, vol. 17, pp. 461-470, 2006.
[124] Y. L. Abdel-Magid and M. A. Abido, "Robust coordinated design of excitation and TCSC-based stabilizers using genetic algorithms," Electr. Power Syst. Res., vol. 69, pp. 129-141, 2004.
[125] M. A. Abido, "Pole placement technique for PSS and TCSC based stabilizer design using simulated annealing," Int. J. Electr. Power Energy Syst., vol. 22, pp. 543-554, 2000.
[126] M. A. Abido and Y. L. Abdel-Magid, "Coordinated design of a PSS and an SVC-based controller to enhance power system stability," Int. J. Electr. Power Energy Syst., vol. 25, pp. 695-704, 2003.