S.A. Nezam-Sarmadi, S. Nourizadeh, S. Azizi, A. M. Ranjbar,” A power system build-up restoration method based on wide area measurement systems,” European Transactions on electrical Power, Vol. 21, pp. 712-720, 2011.
 W. Ye, F. Xinyan, Y. Zheng, “Optimal power grid black-start using fuzzy logic and expert system,” European Transactions on electrical Power, Vol. 19, pp. 969-977, 2009.
 A. M. El-Zonkoly, “Renewable energy sources for complete optimal power system black-start restoration,” IET Gener Transm Distrib, Vol. 9, No. 6, pp. 531–539, 2015.
 D.H. Kim, Y.T. Yoon, S.S. Lee, S.K. Lee, “Power system restoration plan using the characteristics of scale-free networks,” European Transactions on electrical Power, Vol. 18, pp. 809-819, 2008.
 W. Sun, C.C. Liu, L. Zhang, “Optimal Generator Start-Up Strategy for Bulk Power System Restoration,” IEEE Trans Power Syst, Vol. 26, pp. 1357-1366, 2011.
 L.H. Fink, K.L. Liou, C.C. Liu, “From generic restoration actions to specific restoration strategies,” IEEE Trans Power Syst, Vol. 10, pp. 745-751, 1995.
 S. Zeng, Z. Lin, F. Wen, G. Ledwich, “A new approach for power system black-start decision-making with vague set theory,” Int J Electr Power Energy Syst, Vol. 34, pp. 114-120, 2012.
 W.J. Liu, Z. Lin, F. Wen, G. Ledwich, “Intuitionistic fuzzy Choquet integral operator-based approach for black-start decision-making,” IET Gener Transm Distrib, Vol. 6, No. 5, pp. 378-386, 2012.
 E. Lu, N. Wang, Z. Qin, H. Liu, Y. Hou, “Black-start strategy for power grids including fast cut thermal power units,” Proc. IEEE Power and Energy Society General Meeting, pp. 1-5, 2013.
 C. Liu, M. Wu, Y. Deng, “Start-up sequence of generators in power system restoration avoiding the backtracking algorithm,” Proc. IEEE Power and Energy Society General Meeting, pp. 1-5, 2013.
 C. Zhang, Z. Lin, F. Wen, G. Ledwich, Y. Xue, “Two-stage power network reconfiguration strategy considering node importance and restored generation capacity,” IET Gener Transm Distrib, Vol. 8, pp. 91-103, 2014.
 A. El-Zonkoly, H Desouki, A. Farghaly, “Firefly based approach for optimal power system black-start restoration,” Proc. EPE, pp. 11-16, 2014.
 T. YU, J. Tong, K. W. Chan, “Study on micro-turbine as a back-up power supply for power grid black-start,” IEEE Power and Energy Society General Meeting, 2009.
 How hydroelectric energy works. [Online], http://www.ucsusa.org/clean_energy/our-energy choices/renewable-energy/how-hydroelectric-energy.html
 D. Grace, T. Christiansen, “Risk-based assessment of unplanned outage events and costs for combined-cycle plants,” Journal of Engineering for gas turbines and power, Vol. 135, No. 2, pp. 1-7, 2013.
 L. C. Ribeiro, L. Oliveira, E. L. Bonaldi, L. Silva, C. P. Salomon, J. G. Silva, G. L. Torres, “Automatic system for failure detection in hydro-power generators,” Journal of Power and Energy Engineering, Vol. 2, pp. 36-46, 2014.
 Black-start service business rules. [Online], http://www.ieso.ca/ Documents/ consult/ se16/ se16_DACP-SWG-20060216-pjm-blackstart.pdf
 W. Sun, C. Liu, S. Liu, “Black start capability assessment in power system restoration,” IEEE Power and Energy Society General Meeting, pp. 1-7, 2011.
 Y. Chou, C. Liu, Y. Wang, C. Wu, C. Lin, “Development of a Black Start Decision Supporting System for Isolated Power Systems, “IEEE Trans. Power Syst, Vol. 28, No. 3, pp. 2202-2210, 2013.
 N. Jenkins, J.B. Ekanayake, G. Strbac, “Distributed generation, “ The Institution of Engineering and Technology, London, United Kingdom, 2010.
 A. Cano, F. Jurado, “optimal location of biomass-fuelled gas turbines in an electric system, “ IEEE power engineering society meeting, pp. 1-6, 2006.
 C. C. Liu, S. J. Lee, S. S. Venkata, “An expert system operational aid for restoration and loss reduction of distribution systems,” IEEE Trans. Power Syst., Vol. 3, No. 2, pp. 619-626, 1988.
 A. S. Bretas, A. G. Phadke, “Artificial neural networks in power system restoration,” IEEE Trans. Power Delivery, Vol. 18, No. 2, pp. 1181-1186, 2003.
 C. Wang, V. Vittal, S. Kolluri, S. Mandal, “PTDF-based Automatic Restoration Path Selection,” IEEE Trans. Power Systems, Vol. 25, No. 3, pp. 1686-1695, 2010.
 W. Sun, C. C. Liu, “Optimal Transmission Path Search in Power System Restoration,” IREP Symposium-Bulk Power System Dynamics and Control –IX (IREP), pp. 1-5, 2013.
 Y. Fukuyama, H. Endo, Y. Nakanishi, “A hybrid system for service restoration using expert system and genetic algorithm,” Intell. Syst. Appl. Power Syst., pp. 394–398, 1996.
 D. Wang, L. Song, Y. Zhang, Z. Lu, H. Li, “The Bi-level programming optimization method of extended black-start schemes considering safety factors during restoration process,” China International Conference on Electricity Distribution, pp. 1-5, 2016.
 T. D. Sudhakar, N. S. Vadivoo, S. M. R. Slochanal, S. Ravichandran, “Supply restoration in distribution networks using Dijkstra’s algorithm,” International Conf. on Power System Technology (POWERCON), pp. 640-645, 2004, 640-645.
 R. Askarzadeh, “A novel meta-heuristic method for solving constrained engineering optimization problems: Crow search algorithm,” Computers and Structures, Vol. 169, pp. 1-12, 2016.
 E. W. Dijkstra, “A note on two problems in connection with graph,” Numerische mathematic, Vol. 1, pp. 269-271, 1959.
 R. H. Liang, J. C. Wang, Y. T. Chen, W. T. Tseng, “An enhanced firefly algorithm to multi-objective optimal active/reactive power dispatch with uncertainties consideration,” Int J Electr Power Energy Syst. Vol. 64, pp. 1088-1097, 2014.
 T. Niknam, M. Bornapour, A. Ostadi, A. Gheisari, “Optimal planning of Molten Carbonate Fuel Cell Power Plants at distribution networks considering Combined Heat, Power and Hydrogen production,” Journal of Power Sources, Vol. 239, pp. 513-526, 2013.
 M. Bornapour, R. Hooshmand, “An efficient scenario-based stochastic programming for optimal planning of combined heat, power, and hydrogen production of molten carbonate fuel cell power plants,” Energy, Vol. 83, pp. 734-748, 2015.
 A. Khodabakhshian, M. R Esmaili, M. Bornapour,” Optimal coordinated design of UPFC and PSS for improving power system performance by using multi-objective water cycle algorithm,” Int J Electr Power Energy Syst, Vol. 83, pp. 124-133, 2016.
 A. Shabanpour-Haghighi, A. R. Seifi, T. Niknam, “A modified teaching–learning based optimization for multi-objective optimal power flow problem,” Energy Conversion and Management, Vol. 77, pp. 597-607, 2014.
 S. Agrawal, B. Panigrahi, M. K. Tiwari, “Multiobjective particle swarm algorithm with fuzzy clustering for electrical power dispatch,” Evol Comput IEEE Trans, Vol. 12, pp. 529-541, 2008.
 X. S. Yang, “Meta-heuristic optimization,” Scholar pedia, Vol. 6, 2011.
 IEEE 39-Bus power system test cases, [Online], Available: http:// electrica.uc3m.es/ pablole / varios_e.htm.
 Wang, V. Vijay, K. Sun, “OBDD-based sectionalizing strategies for parallel power system restoration,” IEEE Trans Power Syst,