Power System Security Assessment and Enhancement: A Bibliographical Survey

Kiran Teeparthi1, D. M. Vinod Kumar2
1National Institute of Technology Andhra Pradesh, Tadepalligudem, India
2Department of Electrical Engineering, National Institute of Technology Warangal, Warangal, India

Tóm tắt

Từ khóa


Tài liệu tham khảo

B. Stott, O. Alsac, A.J. Monticelli, Security analysis and optimization. Proc. IEEE 75(12), 1623–1644 (1987)

N. Balu, T. Bertram, A. Bose, On-line power system security analysis. Proc. IEEE 80(2), 262–280 (1992)

N. A. E. R. Council, Reliability Concepts in Bulk Power Electric Systems (1985)

K. Morison, L. Wang, P. Kundur, Power system security assessment. IEEE Power Energy Mag. 2, 30–39 (2004)

A.J. Wood, B.F. Wollenberg, Power Generation Operation and Control, 2nd edn. (Wiley India Private Limited, New Delhi, 2006)

R.P. Schulz, W.W. Price, Classification and identification of power system emergencies. IEEE Trans. Power Appar. Syst. 103(12), 3470–3479 (1984)

EPRI Rep. EPRI EL-5290, Composite-System Reliability Evaluation: Phase I—Scoping Study

F.F. Wu, Real-time network security monitoring, assessment and optimization. Int. J. Electr. Power Energy Syst. 10(2), 83–100 (1988)

H. Glavitsch, Switching as means of control in the power system. Int. J. Electr. Power Energy Syst. 7(2), 92–100 (1985)

M. Shahidehpour, W.F. Tinney, Y. Fu, Impact of security on power systems operation. Proc. IEEE 93(11), 2013–2025 (2005)

G.C. Ejebe, B.F. Wollenberg, Automatic contingency selection. IEEE Trans. Power Appar. Syst. 98(1), 97–109 (1979)

R. Caglar, A. Ozdemir, F. Mekic, Contingency selection based on real power transmission losses, PowerTech Budapest 99. Abstract Records. (Cat. No.99EX376), vol. C, no. 11, p. 1982 (1999)

K. Nara, K. Tanaka, H. Kodama, R.R. Shoults, M.S. Chen, P. Van Olinda, D. Bertagnolli, On-line contingency selection algorithm for voltage security analysis. IEEE Trans. Power Appar. Syst. 104(4), 846–856 (1985)

R. Sunitha, K.R. Sreerama, A.T. Mathew, Development of a composite security index for static security evaluation, in IEEE Region Annual International Conference, Proceedings/TENCON, pp. 1–6, 2009

B. Stott, O. Alsac, Fast decoupled load flow. IEEE Trans. Power Appar. Syst. 93(3), 859–869 (1974)

A.J. Wood, B.F. Wollenberg, Power Generation, Operation and Control, 2nd edn. (Wiley, New York, 1996)

P.W. Sauer, On the formulation of power distribution factors for linear load flow methods. IEEE Trans. Power Appar. Syst. 100(2), 764–770 (1981)

A. Mohamed, G.B. Jasmon, Voltage contingency selection technique for security assessment. IEEE Proc. Gener. Transm. Distrib. 136(1), 24 (1989)

C.I. Faustino Agreira, C.M. MacHado Ferreira, J.A. Dias Pinto, F.P. MacIel Barbosa, Contingency screening and ranking algorithm using two different sets of security performance indices, in 2003 IEEE Bologna PowerTech - Conference Proceedings, vol. 4, pp. 155–159 (2003)

G. Irisarri, A. Sasson, An automatic contingency selection method for on-line security analysis. IEEE Trans. Power Appar. Syst. 100(4), 1838–1844 (1981)

T.A. Mikolinnas, B.F. Wollenberg, An advanced contingency selection algorithm. IEEE Trans. Power Appar. Syst. 100(2), 608–617 (1981)

T.F. Halpin, R. Fischl, R. Fink, Analysis of automatic contingency selection algorithms. IEEE Trans. Power Appar. Syst. 103(5), 938–945 (1984)

K.L. Lo, Z. Meng, Newton-like method for line outage simulation. IEE Proc. Gener. Transm. Distrib. 151, 225–231 (2004)

J. Zaborszky, K.-W. Whang, K. Prasad, Fast contingency evaluation using concentric relaxation. IEEE Trans. Power Appar. Syst. 99(1), 28–36 (1980)

V. Brandwajn, Efficient bounding method for linear contingency analysis. IEEE Trans. Power Syst. 3(1), 38–43 (1987)

V. Brandwajn, M.G. Lauby, Complete bounding method for AC contingency screening. IEEE Trans. Power Syst. 4(2), 724–729 (1989)

F.D. Galiana, Bound estimates of the severity of line outages in power system contingency analysis and ranking. IEEE Trans. Power Appar. Syst. 103(9), 2612–2624 (1984)

G.C. Ejebe, H.P. Van Meeteren, B.F. Wollenberg, Fast contingency screening and evaluation for voltage security analysis. IEEE Trans. Power Syst. 3(4), 1582–1590 (1988)

S.N. Singh, S.C. Srivastava, Improved voltage and reactive power distribution factors for outage studies. IEEE Trans. Power Syst. 12(3), 1085–1093 (1997)

R. Diao, S. Member, K. Sun, V. Vittal, R.J.O. Keefe, M.R. Richardson, N. Bhatt, D. Stradford, S.K. Sarawgi, Decision tree-based online voltage security assessment using PMU measurements. IEEE Trans. Power Syst. 24(2), 832–839 (2009)

S. Weerasooriya, M.A. El-Sharkawi, M. Damborg, R.J. Marks, Towards static-security assessment of a large-scale power system using neural networks. IEE Proc. C Gener. Transm. Distrib. 139(1), 64 (1992)

Q. Zhou, J. Davidson, A.A. Fouad, Application of artificial neural networks in power system security and vulnerability assessment. IEEE Trans. Power Syst. 9(1), 525–532 (1994)

M. Khazaei, S. Jadid, Contingency ranking using neural networks by Radial Basis Function method, in 2008 IEEE/PES Transmission and Distribution Conference and Exposition, pp. 25–28, 2008

S. Kalyani, K.S. Swarup, Study of neural network models for security assessment in power systems,” vol. 1, no. 2 (2009)

A. I.G. Dagmar Niebur, Power system static security assessment using the kohonenneuralnetworkclassifier (1991)

D. Niebur, A.J. Germond, Power system static security assessment using the Kohonen neural network classifier. IEEE Trans. Power Syst. 7(2), 865–872 (1992)

D. Devaraj, J. Preetha Roselyn, On-line voltage stability assessment using radial basis function network model with reduced input features. In. J. Electr. Power Energy Syst. 33(9), 1550–1555 (2011)

D. Devaraj, B. Yegnanarayana, K. Ramar, Radial basis function networks for fast contingency ranking. Int. J. Electr. Power Energy Syst. 24, 387–395 (2002)

R. Fischl, Application of neural networks to power system security: technology and trends, in Proceedings of 1994 IEEE International Conference on Neural Networks (ICNN’94), vol. 6, pp. 3719–3723, 1901

R. Napoli, F. Piglione, On-line static security assessment of power systems by a progressive learning neural network, Proceedings of 8th Mediterranean Electrotechnical Conference on Industrial Applications in Power Systems, Computer Science and Telecommunications (MELECON 96), vol. 3, 1996

D.S. Javan, H.R. Mashhadi, M. Rouhani, Static security assessment using radial basis function neural networks based on growing and pruning method, in 2010 IEEE Electrical Power & Energy Conference, pp. 1–6, 2010

H.M. Khattab, S.F. Abdelaziz, A.Y. Mekhamer, M.A.L. Badr, E.F. El-Saadany, Gene expression programming for static security assessment of power systems. IEEE Power Energy Soc. Gener. Meet. 2012, 1–8 (2012)

A.Y. Abdelaziz, S.F. Mekhamer, M.A.L. Badr, H.M. Khattab, Probabilistic neural network classifier for static voltage security assessment of power systems. Electr. Power Compon. Syst. 40(2), 147–160 (2011)

T.S. Sidhu, Contingency screening for steady-state security analysis by using FFT and artificial neural networks”. IEEE Trans. Power Syst. 15(I), 421–426 (2000)

S.N. Singh, L. Srivastava, J. Sharma, Fast voltage contingency screening using radial basis function neural network. Electr. Power Syst. Res. 18(4), 1359–1366 (2003)

R.K. Misra, S.P. Singh, Efficient ANN method for post-contingency status evaluation. Int. J. Electr. Power Energy Syst. 32(1), 54–62 (2010)

K.S. Swarup, Artificial neural network using pattern recognition for security assessment and analysis. Neurocomputing 71(4–6), 983–998 (2008)

S. Kalyani, K. Shanti Swarup, Classification and assessment of power system security using multiclass SVM. IEEE Trans. Syst. Man Cybern. Appl. Rev. 41(5), 753–758 (2011)

S.-W. Lin, K.-C. Ying, S.-C. Chen, Z.-J. Lee, Particle swarm optimization for parameter determination and feature selection of support vector machines. Expert Syst. Appl. 35(4), 1817–1824 (2008)

Z. Shaowu, W. Lianghong, Y. Xiaofang, T. Wen, Parameters selection of SVM for function approximation based on differential evolution, in Proceedings on Intelligent Systems and Knowledge Engineering (ISKE2007), 2007

S.-J. Huang, Static security assessment of a power system using query-based learning approaches with genetic enhancement. IEEE Proc. Gener. Transm. Distrib. 148(4), 319 (2001)

S. Noman, S.M. Shamsuddin, A.E. Hassanien, Hybrid learning enhancement of RBF network with particle swarm optimization. Foundations 1, 381–397 (2009)

S. Kalyani, K.S. Swarup, Particle swarm optimization based K-means clustering approach for security assessment in power systems. Expert Syst. Appl. 38(9), 10839–10846 (2011)

A. Mohamed, S. Maniruzzaman, A. Hussain, Static security assessment of a power system using genetic-based neural network. Electr. Power Compon. Syst. 29(12), 1111–1121 (2001)

S. Hashemi, M.R. Aghamohammadi, Wavelet based feature extraction of voltage profile for online voltage stability assessment using RBF neural network. Int. J. Electr. Power Energy Syst. 49, 86–94 (2013)

K. Morison, L. Wang, H. Hamadani, New tools for blackout prevention, in IEEE PES Power Systems Conference and Exposition, PSCE - Proceedings, pp. 319–324, 2006

U. Kerin, G. Bizjak, E. Lerch, O. Ruhle, R. Krebs, Dynamic security assessment using time-domain simulator, in IEEE/PES Power Systems Conference and Exposition, pp. 1–6, 2009

Y. Zhang, L. Wehenkel, P. Rousseaux, M. Pavella, SIME: a hybrid approach to fast transient stability assessment and contingency selection. Int. J. Electr. Power Energy Syst. 19(3), 195–208 (1997)

F.A. Rahimi, M.G. Lauby, J.N. Wrubel, K.L. Lee, Evaluation of the transient energy function method for on-line dynamic security analysis. IEEE Trans. Power Syst. 8(2), 497–507 (1993)

A.A. Fouad, V. Vittal, The transient energy function method. Int. J. Electr. Power Energy Syst. 10(4), 233–246 (1988)

C.L. Chang, Y.Y. Hsu, A new approach to dynamic contingency selection. IEEE Trans. Power Syst. 5(4), 1524–1528 (1990)

C.A. Baone, N. Acharya, S. Veda, N.R. Chaudhuri, Fast contingency screening and ranking for small, pp. 1–5, 2014

H.K.H. Kim, C.S.C. Singh, Steady state and dynamic security assessment in composite power systems, in Proceedings of the International Symposium on Circuits and Systems, 2003. ISCAS’03, vol. 3, pp. III–320–III–323, 2003

M. Tang, Q. Zhu, K. Yang, H. Zhang, X. Li, Simplified algorithm of voltage security correction based on sensitivity analysis method, no. 1, pp. 0–3, 2012

E. Ciapessoni, D. Cirio, S. Massucco, A. Morini, A. Pitto, F. Silvestro, Risk-based dynamic security assessment for power system operation and operational planning. Energies 10(4), 475 (2017)

M.M. Vamsichadalavada, V. Vittal, G.C. Gebe, G.D. Irisarri, J. Tong, G. Pieper, An on-line contingencyfiltering scheme or dynamic security assessment. IEEE Trans. Power Syst. 12(1), 153–161 (1997)

C. Fu, A. Bose, Contingency ranking based on severity indices in dynamic security analysis. IEEE Trans. Power Syst. 14(3), 980–986 (1999)

M. Mallaki, H.R. Chevari, Error reduction in contingency ranking of power systems using combined indexes, in Asia-Pacific Power and Energy Engineering Conference, APPEEC, 2010

G. Li, S.M. Rovnyak, Integral square generator angle index for stability ranking and control. IEEE Trans. Power Syst. 20(2), 926–934 (2005)

J. Kim et al., Study of the effectiveness of a Korean smart transmission grid based on synchro-phasor data of K-WAMS. IEEE Trans. Smart Grid 4(1), 411–418 (2013)

I. Kamwa, S.R. Samantaray, G. Joos, Development of rule-based classifiers for rapid stability assessment of wide-area post disturbance records, in IEEE PES General Meeting, Minneapolis, MN, pp. 1–1, 2010

A. Tiwari, V. Ajjarapu, Event identification and contingency assessment for voltage stability via PMU, in Power Symposium, 2007. NAPS ‘07. 39th North American, Las Cruces, NM, pp. 413–420, 2007

G. Ravikumar, S.A. Khaparde, Taxonomy of PMU data based catastrophic indicators for power system stability assessment. IEEE Syst. J. 99, 1–13 (2016)

J.M.G. Alvarez, P.E. Mercado, Online inference of the dynamic security level of power systems using fuzzy techniques. IEEE Trans. Power Syst. 22(2), 717–726 (2007)

J.M. Gimenez Alvarez, P.E. Mercado, A new approach for power system online DSA using distributed processing and fuzzy logic. Electr. Power Syst. Res. 77(2), 106–118 (2007)

V. Brandwajn, A.B.R. Kumar, A. Ipakchi, A. Böse, S.D. Kuo, Severity indices for contingency screening in dynamic security assessment. IEEE Trans. Power Syst. 12(3), 1136–1142 (1997)

J.M.G. Alvarez, Critical contingencies ranking for dynamic security assessment using neural networks, in 2009 15th International Conference on Intelligent System Applications to Power Systems, 2009

M.J. Hossain, H.R. Pota, M.A. Mahmud, R.A. Ramos, Investigation of the impacts of large-scale wind power penetration on the angle and voltage stability of power systems. IEEE Syst. J. 6(1), 76–84 (2012)

U. Kerin, E. Lerch, Dynamic security indication in power systems with large amount of renewables, in 2012 IEEE Power and Energy Society General Meeting, pp. 1–6, 2012

Y. Xu, Z.Y. Dong, Z. Xu, K. Meng, K.P. Wong, An intelligent dynamic security assessment framework for power systems with wind power. IEEE Trans. Ind. Inf. 8(4), 995–1003 (2012)

D. Gautam, V. Vittal, T. Harbour, Impact of increased penetration of DFIG-based wind turbine generators on transient and small signal stability of power systems. IEEE Trans. Power Syst. 24(3), 1426–1434 (2009)

N. Mithulananthan, R. Shah, K.Y. Lee, Small-disturbance angle stability control with high penetration of renewable generations. IEEE Trans. Power Syst. 29(3), 1463–1472 (2014)

A.J. Santos, Optimal-power-flow solution by Newton’s method applied to an augmented Lagrangian function. IEE Proc. Gener. Transm. Distrib. 142(1), 33 (1995)

M.K. Mangoli, K.Y. Lee, Y. Moon Park, Optimal real and reactive power control using linear programming. Electr. Power Syst. Res. 26(1), 1–10 (1993)

O. Alsac, J. Bright, M. Prais, B. Stott, Further developments in LP-based optimal power flow. IEEE Trans. Power Syst. 5(3), 697–711 (1990)

A. Monticelli, M.V.F. Pereira, S. Granville, Security-constrained optimal power flow with post-contingency corrective rescheduling. IEEE Trans. Power Syst. 2(1), 175–180 (1987)

O. Alsac, B. Stott, Optimal load flow with steady-state security. IEEE Trans. Power Appar. Syst. 93(3), 745–751 (1974)

F.G.M. Lima, F.D. Galiana, I. Kockar, J. Munoz, Phase shifter placement in large-scale systems via mixed integer linear programming. IEEE Trans. Power Syst. 18(3), 1029–1034 (2003)

M. Niu, C. Wan, Z. Xu, A review on applications of heuristic optimization algorithms for optimal power flow in modern power systems. J. Mod. Power Syst. Clean Energy 2(4), 289–297 (2014)

R.N. Banu, D. Devaraj, Multi-objective GA with fuzzy decision making for security enhancement in power system. Appl. Soft Comput. J. 12(9), 2756–2764 (2012)

L.L. Lai, J.T. Ma, R. Yokoyama, M. Zhao, Improved genetic algorithms for optimal power flow under both normal and contingent operation states. Int. J. Electr. Power Energy Syst. 19(5), 287–292 (1997)

A.G. Bakirtzis, P.N. Biskas, C.E. Zoumas, V. Petridis, Optimal power flow by enhanced genetic algorithm. IEEE Trans. Power Syst. 17, 229–236 (2002)

M.R. AlRashidi, M.E. El-Hawary, Hybrid particle swarm optimization approach for solving the discrete OPF problem considering the valve loading effects. IEEE Trans. Power Syst. 22(4), 2030–2038 (2007)

M.A. Abido, Optimal power flow using particle swarm optimization. Int. J. Electr. Power Energy Syst. 24(7), 563–571 (2002)

H.R.E.-H. Bouchekara, M.A. Abido, Optimal power flow using differential search algorithm. Electr. Power Compon. Syst. 42, 1683–1699 (2014)

N. Amjady, H. Sharifzadeh, Security constrained optimal power flow considering detailed generator model by a new robust differential evolution algorithm. Electr. Power Syst. Res. 81(2), 740–749 (2011)

H.A. Hejazi, H.R. Mohabati, S.H. Hosseinian, M. Abedi, Differential evolution algorithm for security-constrained energy and reserve optimization considering credible contingencies. IEEE Trans. Power Syst. 26(3), 1145–1155 (2011)

C. Thitithamrongchai, B. Eua-Arporn, Security-constrained optimal power flow: a parallel self-adaptive differential evolution approach. Electr. Power Compon. Syst. 36, 280–298 (2008)

M. Varadarajan, K.S. Sworup, Solving multi-objective optimal power flow Using differential evolution. IET Gener. Transm. Distrib. 2(5), 720–730 (2008)

P. Somasundaram, K. Kuppusamy, R.P. Kumudini Devi, Evolutionary programming based security constrained optimal power flow. Electr. Power Syst. Res. 72, 137–145 (2004)

S. Duman, U. Güvenç, Y. Sönmez, N. Yörükeren, Optimal power flow using gravitational search algorithm. Energy Convers. Manag. 59, 86–95 (2012)

B.V. Rao, G.V.N. Kumar, Electrical power and energy systems optimal power flow by BAT search algorithm for generation reallocation with unified power flow controller. Int. J. Electr. Power Energy Syst. 68, 81–88 (2015)

Z. Ye, M. Wang, W. Liu, S. Chen, Fuzzy entropy based optimal thresholding using bat algorithm. Appl. Soft Comput. J. 31, 381–395 (2015)

S. Biswal, A.K. Barisal, A. Behera, T. Prakash, Optimal power dispatch using BAT algorithm, in 2013 International Conference on Energy Efficient Technologies for Sustainability, pp. 1018–1023, 2013

J.A. Momoh, J.Z. Zhu, G.D. Boswell, S. Hoffman, Power system security enhancement by OPF with phase shifter. IEEE Trans. Power Syst. 16(2), 287–293 (2001)

D. Devaraj, B. Yegnanarayana, Genetic-algorithm-based optimal power flow for security enhancement. IEEE Proc. Gener. Transm. Distrib. 152(6), 899 (2005)

C. Venkaiah, D.M. Vinod Kumar, Fuzzy adaptive bacterial foraging congestion management using sensitivity based optimal active power re-scheduling of generators. Appl. Soft Comput. J. 11(8), 4921–4930 (2011)

G. Baskar, M.R. Mohan, Contingency constrained economic load dispatch using improved particle swarm optimization for security enhancement. Electr. Power Syst. Res. 79(4), 615–621 (2009)

S. Armaghani, N. Amjady, O. Abedinia, Security constrained multi-period optimal power flow by a new enhanced artificial bee colony. Appl. Soft Comput. J. 37, 382–395 (2015)

K. Pandiarajan, C.K. Babulal, Overload alleviation in electric power system using fuzzy logic, 2011 International Conference on Computer, Communication and Electrical Technology (ICCCET), no. January, pp. 417–423, 2011

K. Teeparthi, D.M. Vinod Kumar, Security-constrained optimal power flow with wind and thermal power generators using fuzzy adaptive artificial physics optimization algorithm. Neural Comput. Appl. 29, 855–871 (2016)

S. Gerbex, R. Cherkaoui, A. J. Germond, Optimal location of FACTS devices to enhance power system security, in 2003 IEEE Bologna PowerTech - Conference Proceedings, vol. 3, pp. 61–68, 2003

S.H. Song, J.U. Lim, S. Il Moon, Installation and operation of FACTS devices for enhancing steady-state security. Electr. Power Syst. Res. 70(1), 7–15 (2004)

J.G. Singh, S.N. Singh, S.C. Srivastava, Enhancement of power system security through optimal placement of TCSC and UPFC, in 2007 IEEE Power Engineering Society General Meeting, PES, 2007

J.G. Singh, S.N. Singh, S.C. Srivastava, L. Soder, Power system security enhancement by optimal placement of UPFC, in Proceedings of the 4th IASTED Asian Conference on Power and Energy Systems, AsiaPES 2010, pp. 228–235, 2010

N. Yorino, E.E. El-Araby, H. Sasaki, S. Harada, A new formulation for FACTS allocation for security enhancement against voltage collapse. IEEE Trans. Power Syst. 18(1), 3–10 (2003)

Y. Lu, A. Abur, Static security enhancement via optimal utilization of thyristor-controlled series capacitors. IEEE Trans. Power Syst. 17(2), 324–329 (2002)

A. Abur, Improving system static security via optimal placement of thyristor controlled series capacitors (TCSC), in 2001 IEEE Power Engineering Society Winter Meeting. Conference Proceedings (Cat. No.01CH37194), vol. 2, pp. 516–521, 2001

G.I. Rashed, H.I. Shaheen, X.Z. Duan, S.J. Cheng, Evolutionary optimization techniques for optimal location and parameter setting of TCSC under single line contingency. Appl. Math. Comput. 205(1), 133–147 (2008)

G.I. Rashed, Y. Sun, Optimal placement of Thyristor controlled series compensation for enhancing power system security based on computational intelligence techniques. Procedia Eng. 15, 908–914 (2011)

S.M.R. Slochanal, M. Saravanan, A.C. Devi, Application of PSO technique to find optimal settings of TCSC for static security enhancement considering installation cost, in 2005 International Power Engineering Conference, pp. 1–394, 2005

K. Shanmukha Sundar, H.M. Ravikumar, Selection of TCSC location for secured optimal power flow under normal and network contingencies. Int. J. Electr. Power Energy Syst. 34(1), 29–37 (2012)

S.K. Rautray, S. Choudhury, S. Mishra, P. K. Rout, A particle swarm optimization based approach for power system transient stability enhancement with TCSC, in Procedia Technology; 2nd International Conference on Communication, Computing & Security ICCCS-2012], vol. 6, pp. 31–38, 2012

M. Güçyetmez, E. Çam, A new hybrid algorithm with genetic-teaching learning optimization (G-TLBO) technique for optimizing of power flow in wind-thermal power systems. Electr. Eng. 98, 145–157 (2015)

S. Heier, Grid Integration of Wind Energy Conversion Systems (Wiley, London, 2014)

S. Li, D.C. Wunsch, E.A. O’Hair, M.G. Giesselmann, Using neural networks to estimate wind turbine power generation. IEEE Trans. Energy Convers. 16(3), 276–282 (2001)

I.G. Damousis, M.C. Alexiadis, J.B. Theocharis, P.S. Dokopoulos, A fuzzy model for wind speed prediction and power generation in wind parks using spatial correlation. IEEE Trans. Energy Convers. 19(2), 352–361 (2004)

B.G. Brown, R.W. Katz, A.H. Murphy, Time series models to simulate and forecast wind speed and wind power. J. Clim. Appl. Meteorol. 23(8), 1184–1195 (1984)

J. Hetzer, D.C. Yu, K. Bhattarai, An economic dispatch model incorporating wind power. IEEE Trans. Energy Convers. 23(2), 603–611 (2008)

X. Liu, Economic load dispatch constrained by wind power availability: a wait-and-see approach. IEEE Trans. Smart Grid 1(3), 347–355 (2010)

H. Chen, J. Chen, X. Duan, Multi-stage dynamic optimal power flow in wind power integrated system, in Proceedings of the IEEE Power Engineering Society Transmission and Distribution Conference, vol. 2005, pp. 1–5, 2005

G.C.G. Chen, J.C.J. Chen, X.D.X. Duan, Power flow and dynamic optimal power flow including wind farms, in 2009 International Conference on Sustainable Power Generation and Supply, pp. 1–6, 2009

B.C. Pal, R.A. Jabr, Intermittent wind generation in optimal power flow dispatching. IET Gener. Transm. Distrib. 3(1), 66–74 (2009)

L. Shi, C. Wang, L. Yao, Y. Ni, M. Bazargan, Optimal power flow solution incorporating wind power. IEEE Syst. J. 6(2), 233–241 (2012)

A. Panda, M. Tripathy, Optimal power flow solution of wind integrated power system using modified bacteria foraging algorithm. Int. J. Electr. Power Energy Syst. 54, 306–314 (2014)

S.P. Singh, J. Rokadia, C. Mishra, Optimal power flow in the presence of wind power using modified cuckoo search. IET Gener. Transm. Distrib. 9(7), 615–626 (2015)

R. Zárate-Miñano, F. Milano, A.J. Conejo, An OPF methodology to ensure small-signal stability. IEEE Trans. Power Syst. 26, 1050–1061 (2011)

Peijie Li, Hua Wei, Bin Li, Yude Yang, Eigenvalue-optimisation-based optimal power flow with small-signal stability constraints. IET Gener. Transm. Distrib. 7, 440–450 (2013)

K. Tangpatiphan, A. Yokoyama, Adaptive evolutionary programming with neural network for transient stability constrained optimal power flow, in 15th International Conference on Intelligent System Applications to Power Systems, pp. 1–6, 2009

H. Ahmadi, H. Ghasemi, M. HaddadiA, H. Lesani, Two approaches to transient stability-constrained optimal power flow. Int. J. Electr. Power Energy Syst. 47, 181–192 (2013)

R. Zarate-Minano, T. Van Cutsem, F. Milano, J. ConejoA, Securing transient stability using time-domain simulations within an optimal power flow. IEEE Trans. Power Syst. 25, 243–253 (2010)

D. Gan, R.J. Thomas, R.D. Zimmerman, Stability-constrained optimal power flow. IEEE Trans. Power Syst. 15(2), 535–540 (2000)

Y. Yuan, J. Kubokawa, H. Sasaki, A solution of optimal power flow with multicontingency transient stability constraints. IEEE Trans. Power Syst. 18(3), 1094–1102 (2003)

K.Y. Chan, S.H. Ling, K.W. Chan, H.H.C. Iu, G. T.Y. Pong, Solving multi-contingency transient stability constrained optimal power flow problems with an improved GA, in 2007 IEEE Congress on Evolutionary Computation, pp. 2901–2908, 2007

A.G. Bakirtzis, P.N. Biskas, C.E. Zoumas, V. Petridis, Optimal power flow by enhanced genetic algorithm. IEEE Trans. Power Syst. 17(2), 229–236 (2002)

N. Mo, Z.Y. Zou, K.W. Chan, T.Y.G. Pong, Transient stability constrained optimal power flow using particle swarm optimisation. IET Gener. Transm. Distrib. 1(3), 476 (2007)

M. Anitha, S. Subramanian, R. Gnanadass, Optimal power flow constrained by transient stability based on improved particle swarm optimisation. Int. J. Intell. Syst. Technol. Appl. 5(1/2), 68 (2008)

H.R. Cai, C.Y. Chung, K.P. Wong, Application of differential evolution algorithm for transient stability constrained optimal power flow. IEEE Trans. Power Syst. 23(2), 719–728 (2008)

D. Wu, D. Gan, J.N. Jiang, An improved micro-particle swarm optimization algorithm and its application in transient stability constrained optimal power flow. Int. Trans. Electr. Energy Syst. 24(3), 395–411 (2014)

S.W. Xia, B. Zhou, K.W. Chan, Z.Z. Guo, An improved GSO method for discontinuous non-convex transient stability constrained optimal power flow with complex system model. Int. J. Electr. Power Energy Syst. 64, 483–492 (2015)

K. Ayan, U. Kılıç, B. Baraklı, Chaotic artificial bee colony algorithm based solution of security and transient stability constrained optimal power flow. Int. J. Electr. Power Energy Syst. 64, 136–147 (2015)