Challenges of Generation and Transmission Expansion Planning Considering Power System Resilience and Provide Solutions

Document Type : Original Article

Authors

Department of Electrical and Electronic Engineering, Semnan Branch, Islamic Azad University, Semnan, Iran

Abstract

Since power systems are susceptible to damages induced by disastrous incidents, the assessment and improvement of system resilience are unavoidable as a new goal of planning and operation. On the other hand, the expansion of generation and transmission grids constitute an essential part of power system planning as it needs a huge budget. So, a primary concern of researchers has always been the optimal planning of power systems. This paper studies the emerging concept of resilience, its criteria, and indicators, how to enhance it, and the identification of its strengths and weaknesses. It also reviews the strategies recommended in the literature to improve power system resilience. The paper briefly reports the models for expansion plan analysis and the generation and transmission expansion planning (GTEP) tools with or without the target of resilience enhancement, which can be instrumental in future research and can be used to estimate the effectiveness of different tools. Furthermore, the paper discusses the planning problems, thereby opening the way for further work in future studies. Finally, the study presents the most eminent challenges of GTEP to accomplish better, resilient, and innovative plans to escalate power system resilience.

Keywords

Main Subjects

References

  1. Wang,Y., Chen, C., Wang, J. and Baldick, R., "Research on resilience of power systems under natural disasters—A review", IEEE Transactions on Power Systems, Vol. 31, No. 2, (2015), 1604-1613. doi: 10.1109/TPWRS.2015.2429656
  2. Obama. B., "Presidential policy directive 21: Critical infrastructure security and resilience", (2013).
  3. Hussain, A., Bui, V.-H. and Kim, H.-M., "Microgrids as a resilience resource and strategies used by microgrids for enhancing resilience", Applied Energy, Vol. 240, (2019), 56-72. doi: 10.1016/j.apenergy.2019.02.055
  4. Panteli, M. and Mancarella, P., "The grid: Stronger, bigger, smarter?: Presenting a conceptual framework of power system resilience", IEEE Power and Energy Magazine, Vol. 13, No. 3, (2015), 58-66. doi: 10.1109/MPE.2015.2397334
  5. Arghandeh, R., Meier, A. V., Mehrmanesh, L. and Mili, L., "On the definition of cyber-physical resilience in power systems", Renewable and Sustainable Energy Reviews, Vol. 58, (2016), 1060-1069. doi: 10.1016/j.rser.2015.12.193
  6. Chaudry, M., Ekins, P., Ramachandran, K. and Shakoor, A., "Building a resilient UK energy system", (2011).
  7. Office, C., "Keeping the country running: Natural hazards and infrastructure", (2011).
  8. Stockton, P., "Resilience for black sky days", Report prepared for the National Association of Regulatory Utility Commissioners and the US Department of Energy, (2014).
  9. Rieger, C. and Manic, M., "On Critical Infrastructures, Their Security and Resilience-Trends and Vision", (2018). doi: 10.48550/arXiv.1812.02710
  10. RAMCAP, P. "All hazard risk and resilience, prioritizing critical infrastructure by using the RAMCAP Plus SM approach", ASME Inno, (2009).
  11. House, W., "Economic benefits of increasing electric grid resilience to weather outages", Washington, DC: Executive Office of the President, (2013).
  12. Ouyang, M. and Duenas-Osorio, L., "Multi-dimensional hurricane resilience assessment of electric power systems", Structural Safety, Vol. 48, (2014), 15-24. doi: 10.1016/j.strusafe.2014.01.001
  13. Preston, B. L., Backhaus, S. N. and Ewers, M., "Resilience of the US electricity system: a multi-hazard perspective", DOE Report, August,(2016).
  14. Fisher, L., "More than 70 ways to show resilience", Nature, Vol. 518, No. 7537, (2015), 35-35. doi: 10.1038/518035a
  15. Holling, C. S., "Resilience and stability of ecological systems", Annual Review of Ecology and Systematics, Vol. 4, No. 1, (1973), 1-23. doi: 10.1146/annurev.es.04.110173.000245
  16. Baroud, H., Barker, K., Ramirez‐Marquez, J. E. and Rocco, C. M., "Inherent costs and interdependent impacts of infrastructure network resilience", Risk Analysis, Vol. 35, No. 4, (2015), 642-662. doi: 10.1111/risa.12223
  17. Youn, B. D., Hu, C. and Wang, P., "Resilience-driven system design of complex engineered systems", Journal of Mechanical Design, Vol. 133, No. 10, (2011). doi: 10.1115/1.4004981
  18. 18. Mancarella, P., "MES (multi-energy systems): An overview of concepts and evaluation models", Energy, 65, 1-17, (2014). doi: 10.1016/j.energy.2013.10.041
  19. Carlson, J., Haffenden, R., Bassett, G. and Buehring, W., "Resilience: Theory and Application", Argonne National Lab.(ANL), Argonne, IL (United States), (2012).
  20. Orencio, P. M. and Fujii, M., "A localized disaster-resilience index to assess coastal communities based on an analytic hierarchy process (AHP)", International Journal of Disaster Risk Reduction, Vol. 3, (2013), 62-75. doi: 10.1016/j.ijdrr.2012.11.006
  21. Roege, P. E., Collier, Z. A., Mancillas, J., McDonagh, J. A. and Linkov, I., "Metrics for energy resilience", Energy Policy, Vol. 72, (2014), 249-256. doi: 10.1016/j.enpol.2014.04.012
  22. Carvalho, P. V., dos Santos, I. L., Gomes, J. O. and Borges, M. R., "Micro incident analysis framework to assess safety and resilience in the operation of safe critical systems: a case study in a nuclear power plant", Journal of Loss Prevention in the Process Industries, Vol. 21, No. 3, (2008), 277-286. doi: 10.1016/j.jlp.2007.04.005
  23. Chanda, S. and Srivastava, A. K., "Defining and enabling resiliency of electric distribution systems with multiple microgrids", IEEE Transactions on Smart Grid, Vol. 7, No. 6, (2016), 2859-2868. doi: 10.1109/TSG.2016.2561303
  24. Maliszewski, P. J. and . Perrings, C., "Factors in the resilience of electrical power distribution infrastructures", Applied Geography, Vol. 32, No. 2, (2012), 668-679. doi: 10.1016/j.apgeog.2011.08.001
  25. Whitson, J. C. and Ramirez-Marquez, J. E., "Resiliency as a component importance measure in network reliability", Reliability Engineering & System Safety, Vol. 94, No. 10, (2009), 1685-1693. doi: 10.1016/j.ress.2009.05.001
  26. Nateghi, R., Guikema, S. D. and Quiring, S. M., "Forecasting hurricane-induced power outage durations", Natural hazards, Vol. 74, No. 3, (2014), 1795-1811. doi: 10.1007/s11069-014-1270-9
  27. Nan, C. and Sansavini, G., "A quantitative method for assessing resilience of interdependent infrastructures", Reliability Engineering & System Safety, Vol. 157, (2017), 35-53. doi: 10.1016/j.ress.2016.08.013
  28. Ren, F., Zhao, T., Jiao, J. and Hu, Y., "Resilience optimization for complex engineered systems based on the multi-dimensional resilience concept", IEEE Access, Vol. 5, (2017), 19352-19362. doi: 10.1109/ACCESS.2017.2755043
  29. Panteli, M., Mancarella, P., Trakas, D. N., Kyriakides, E. and Hatziargyriou, N. D., "Metrics and quantification of operational and infrastructure resilience in power systems", IEEE Transactions on Power Systems, Vol. 32, No. 6, (2017), 4732-4742. doi: 10.1109/TPWRS.2017.2664141
  30. Francis, R. and Bekera, B., "A metric and frameworks for resilience analysis of engineered and infrastructure systems", Reliability Engineering & System Safety, Vol. 121, (2014), 90-103. doi: 10.1016/j.ress.2013.07.004
  31. Mehrpouyan, H., Haley, B., Dong, A., Tumer, I. Y. and Hoyle, C., "Resiliency analysis for complex engineered system design", AI EDAM, Vol. 29, No. 1, (2015), 93-108. doi: 10.1017/S0890060414000663
  32. Wang, J. and Li, M., "Redundancy Allocation Optimization for Multistate Systems With Failure Interactions Using Semi-Markov Process", Journal of Mechanical Design, Vol. 137, No. 10, (2015). doi: 10.1115/1.4031297
  33. Amirioun, M., Aminifar, F., Lesani, H. and Shahidehpour, M., "Metrics and quantitative framework for assessing microgrid resilience against windstorms", International Journal of Electrical Power & Energy Systems, Vol. 104, (2019), 716-723. doi: 10.1016/j.ijepes.2018.07.025
  34. Gao, H., Chen, Y., Xu, Y. and Liu, C.-C., "Resilience-oriented critical load restoration using microgrids in distribution systems", IEEE Transactions on Smart Grid, Vol. 7, No. 6, (2016), 2837-2848. doi: 10.1109/TSG.2016.2550625
  35. Ouyang, M., Dueñas-Osorio, L. and Min, X., "A three-stage resilience analysis framework for urban infrastructure systems", Structural Safety, Vol. 36, (2012), 23-31. doi: 10.1016/j.strusafe.2011.12.004
  36. Bhusal, N., Abdelmalak, M., Kamruzzaman, M. and Benidris, M., "Power system resilience: Current practices, challenges, and future directions", IEEE Access, Vol. 8, (2020),18064-18086. doi: 10.1109/ACCESS.2020.2968586
  37. Alessandri, A. and Filippini, R., "Evaluation of resilience of interconnected systems based on stability analysis", in Critical Information Infrastructures Security: Springer, (2013), 180-190. doi: 10.1007/978-3-642-41485-5_16
  38. Khodaei, A., "Resiliency-oriented microgrid optimal scheduling", IEEE Transactions on Smart Grid, Vol. 5, No. 4, (2014), 1584-1591. doi: 10.1109/TSG.2014.2311465
  39. Zhang, H., Yuan, H., Li, G. and Lin, Y., "Quantitative resilience assessment under a tri-stage framework for power systems", Energies, Vol. 11, No. 6, (2018), 1427. doi: 10.3390/en11061427
  40. Gritzalis, D. and Theocharidou, M., "Critical Infrastructure Security and Resilience", (2019).
  41. Ayyub, B. M., "Systems resilience for multihazard environments: Definition, metrics, and valuation for decision making", Risk Analysis, Vol. 34, No. 2, (2014), 340-355. doi: 10.1111/risa.12093
  42. Hosseini, S., Barker, K. and Ramirez-Marquez, J. E., "A review of definitions and measures of system resilience", Reliability Engineering & System Safety, Vol. 145, (2016), 47-61. doi: 10.1016/j.ress.2015.08.006
  43. Barker, K., Ramirez-Marquez, J. E. and Rocco, C. M., "Resilience-based network component importance measures", Reliability Engineering & System Safety, Vol. 117, (2013), 89-97. doi: 10.1016/j.ress.2013.03.012
  44. Hu, Z. and Mahadevan, S., "Resilience assessment based on time-dependent system reliability analysis", Journal of Mechanical Design, Vol. 138, No. 11, (2016). doi: 10.1115/1.4034109
  45. Zhao, L. and Zeng, B., "Vulnerability analysis of power grids with line switching", IEEE Transactions on Power Systems, Vol. 28, No. 3, (2013), 2727-2736. doi: 10.1109/TPWRS.2013.2256374
  46. Dobson, I., Carreras, B. A., Lynch, V. E. and Newman, D. E., "Complex systems analysis of series of blackouts: Cascading failure, critical points, and self-organization", Chaos: An Interdisciplinary Journal of Nonlinear Science, Vol. 17, No. 2, (2007). doi: 10.1063/1.2737822
  47. Kirschen, D. S., Jayaweera, D., Nedic, D. P. and Allan, R. N., "A probabilistic indicator of system stress", IEEE Transactions on Power Systems, Vol. 19, No. 3, (2004), 1650-1657. doi: 10.1109/TPWRS.2004.831665
  48. Guikema, S. D., Davidson, R. A. and Liu, H., "Statistical models of the effects of tree trimming on power system outages", IEEE Transactions on Power Delivery, Vol. 21, No. 3, (2006), 1549-1557. doi: 10.1109/TPWRD.2005.860238
  49. Meza, J. L. C., Yildirim, M. B. and Masud, A. S., "A model for the multiperiod multiobjective power generation expansion problem", IEEE Transactions on Power Systems, Vol. 22, No. 2, (2007), 871-878. doi: 10.1109/TPWRS.2007.895178
  50. Feng, Y. and Ryan, S. M., "Scenario construction and reduction applied to stochastic power generation expansion planning", Computers & Operations Research, Vol. 40, No. 1, (2013), 9-23. doi: 10.1016/j.cor.2012.05.005
  51. Tafreshi, S. M., Lahiji, A. S., Aghaei, J. and Rabiee, A., "Reliable generation expansion planning in pool market considering power system security", Energy Conversion and Management, Vol. 54, No. 1, (2012), 162-168. doi: 10.1016/j.enconman.2011.10.008
  52. Sirikum, J., Techanitisawad, A. and Kachitvichyanukul, V., "A new efficient GA-benders' decomposition method: For power generation expansion planning with emission controls", IEEE Transactions on Power Systems, Vol. 22, No. 3, (2007), 1092-1100. doi: 10.1109/TPWRS.2007.901092
  53. Jadidoleslam, M., Bijami, E., Amiri, N., Ebrahimi, A. and Askari, J., "Application of shuffled frog leaping algorithm to long term generation expansion planning", International Journal of Computer and Electrical Engineering, Vol. 4, No. 2, (2012), 115.
  54. Moghddas-Tafreshi, S., Shayanfar, H., Lahiji, A. S., Rabiee, A. and Aghaei, J., "Generation expansion planning in Pool market: A hybrid modified game theory and particle swarm optimization", Energy Conversion and Management, Vol. 52, No. 2, (2011), 1512-1519. doi: 10.1016/j.enconman.2010.10.019
  55. Munoz, F. D. and Watson, J.-P., "A scalable solution framework for stochastic transmission and generation planning problems", Computational Management Science, Vol. 12, No. 4, (2015), 491-518. doi: 10.1007/s10287-015-0229-y
  56. Mejía-Giraldo, D. and McCalley, J., "Adjustable decisions for reducing the price of robustness of capacity expansion planning", IEEE Transactions on Power Systems, Vol. 29, No. 4, (2014), 1573-1582. doi: 10.1109/TPWRS.2013.2295166
  57. Careri, F., Genesi, C., Marannino, P., Montagna, M., Rossi, S. and Siviero, I., "Generation expansion planning in the age of green economy", IEEE Transactions on Power Systems, Vol. 26, No. 4, (2011), 2214-2223. doi: 10.1109/TPWRS.2011.2107753
  58. Dehghan, S., Amjady, N. and Conejo, A. J., "Adaptive robust transmission expansion planning using linear decision rules", IEEE Transactions on Power Systems, Vol. 32, No. 5, (2017), 4024-4034. doi: 10.1109/TPWRS.2017.2652618
  59. Bertsimas, D., Litvinov, E., Sun, X. A., Zhao, J. and Zheng, T., "Adaptive robust optimization for the security constrained unit commitment problem", IEEE Transactions on Power Systems, Vol. 28, No. 1, (2012), 52-63. doi: 10.1109/TPWRS.2012.2205021
  60. Rudkevich, A. M., "A nodal capacity market for co-optimization of generation and transmission expansion", in 2012 50th Annual Allerton Conference on Communication, Control, and Computing (Allerton), (2012), 1080-1088. doi: 10.1109/Allerton.2012.6483338
  61. Pozo, D., Sauma, E. E. and Contreras, J., "A three-level static MILP model for generation and transmission expansion planning", IEEE Transactions on Power Systems, Vol. 28, No. 1, (2012), 202-210. doi: 10.1109/TPWRS.2012.2204073
  62. Zhang, X. and Conejo, A. J., "Robust transmission expansion planning representing long-and short-term uncertainty", IEEE Transactions on Power Systems, Vol. 33, No. 2, (2017), 1329-1338. doi: 10.1109/TPWRS.2017.2717944
  63. Meza, J. L. C., Yildirim, M. B. and Masud, A. S., "A multiobjective evolutionary programming algorithm and its applications to power generation expansion planning", IEEE Transactions on Systems, Vol. 39, No. 5, (2009), 1086-1096. doi: 10.1109/TSMCA.2009.2025868
  64. Hedman, K. W., Ferris, M. C., O'Neill,R. P., Fisher, E. B. and Oren, S. S., "Co-optimization of generation unit commitment and transmission switching with N-1 reliability", IEEE Transactions on Power Systems, Vol. 25, No. 2, (2010), 1052-1063. doi: 10.1109/TPWRS.2009.2037232
  65. Limbu, T., Saha,T. and McDonald, J., "Value-based allocation and settlement of reserves in electricity markets", IET Generation, Transmission & Distribution, Vol. 5, No. 4, (2011), 489-495. doi: 10.1049/iet-gtd.2010.0467
  66. Roh, J. H., Shahidehpour, M. and Wu, L., "Market-based generation and transmission planning with uncertainties", IEEE Transactions on Power Systems, Vol. 24, No. 3, (2009), 1587-1598. doi: 10.1109/TPWRS.2009.2022982
  67. Rahimzadeh, S., Bina, M. T. and Viki, A., "Simultaneous application of multi-type FACTS devices to the restructured environment: achieving both optimal number and location", IET generation, transmission & Distribution, Vol. 4, No. 3, (2010), 349-362. doi: 10.1049/iet-gtd.2009.0287
  68. Yuan, W., Wang, J., Qiu, F., Chen, C., Kang, C. and Zeng, B., "Robust optimization-based resilient distribution network planning against natural disasters", IEEE Transactions on Smart Grid, Vol. 7, No. 6, (2016), 2817-2826. doi: 10.1109/TSG.2015.2513048
  69. Wang, C., Hou, Y., Qiu, F., Lei, S. and Liu, K., "Resilience enhancement with sequentially proactive operation strategies", IEEE Transactions on Power Systems, Vol. 32, No. 4, (2016), 2847-2857. doi: 10.1109/TPWRS.2016.2622858
  70. Panteli, M., Trakas, D. N., Mancarella, P. and Hatziargyriou, N. D., "Boosting the power grid resilience to extreme weather events using defensive islanding", IEEE Transactions on Smart Grid, Vol. 7, No. 6, (2016), 2913-2922. doi: 10.1109/TSG.2016.2535228
  71. Wang, C., Hou,Y., Qin, Z., Peng, C. and Zhou, H., "Dynamic coordinated condition-based maintenance for multiple components with external conditions", IEEE Transactions on Power Delivery, Vol. 30, No. 5, (2015), 2362-2370. doi: 10.1109/TPWRD.2015.2442291
  72. Zhang, S. and Vittal, V., "Design of wide-area power system damping controllers resilient to communication failures", IEEE Transactions on Power Systems, Vol. 28, No. 4, (2013), 4292-4300. doi: 10.1109/TPWRS.2013.2261828
  73. Shao, C., Shahidehpour, M., Wang, X., Wang, X. and Wang, B., "Integrated planning of electricity and natural gas transportation systems for enhancing the power grid resilience", IEEE Transactions on Power Systems, Vol. 32, No. 6, (2017), 4418-4429. doi: 10.1109/TPWRS.2017.2672728
  74. Gao, J., Liu, X., Li, D. and Havlin, S., "Recent progress on the resilience of complex networks", Energies, Vol. 8, No. 10, (2015), 12187-12210. doi: 10.3390/en81012187
  75. Han, S. Y., Marais, K. and DeLaurentis, D., "Evaluating system of systems resilience using interdependency analysis", in 2012 IEEE International Conference on Systems, (2012), 1251-1256. doi: 10.1109/ICSMC.2012.6377904
  76. Kwasinski, A., Krishnamurthy, V., Song, J. and Sharma, R., "Availability evaluation of micro-grids for resistant power supply during natural disasters", IEEE Transactions on Smart Grid, Vol. 3, No. 4, (2012), 2007-2018. doi: 10.1109/TSG.2012.2197832
  77. Song, J., Krishnamurthy, V., Kwasinski, A. and Sharma, R., "Development of a Markov-chain-based energy storage model for power supply availability assessment of photovoltaic generation plants", IEEE Transactions on Sustainable Energy, Vol. 4, No. 2, (2012), 491-500. doi: 10.1109/TSTE.2012.2207135
  78. Li, B., Roche, R. and Miraoui, A., "System resilience improvement using multiple energy supply systems under natural disasters", in IECON 2016-42nd Annual Conference of the IEEE Industrial Electronics Society, (2016), 3912-3917. doi: 10.1109/IECON.2016.7793278
  79. Arab, A., Khodaei, A., Khator, S. K., Ding, K., Emesih, V. A. and Han, Z., "Stochastic pre-hurricane restoration planning for electric power systems infrastructure", IEEE Transactions on Smart Grid, Vol. 6, No. 2, (2015), 1046-1054. doi: 10.1109/TSG.2015.2388736
  80. Panteli, M., Pickering, C., Wilkinson, S., Dawson, R. and Mancarella, P., "Power system resilience to extreme weather: fragility modeling, probabilistic impact assessment, and adaptation measures", IEEE Transactions on Power Systems, Vol. 32, No. 5, (2016), 3747-3757. doi: 10.1109/TPWRS.2016.2641463
  81. Xu, Y., Liu, C.-C., Schneider, K. P. and Ton, D. T., "Placement of remote-controlled switches to enhance distribution system restoration capability", IEEE Transactions on Power Systems, Vol. 31, No. 2, (2015), 1139-1150. doi: 10.1109/TPWRS.2015.2419616
  82. Lei, S., Wang, J., Chen, C. and Hou, Y., "Mobile emergency generator pre-positioning and real-time allocation for resilient response to natural disasters", IEEE Transactions on Smart Grid, Vol. 9, No. 3, (2016), 2030-2041. doi: 10.1109/TSG.2016.2605692
  83. Liu, X., Shahidehpour, M., Li, Z., Liu , X., Cao, Y. and Bie, Z., "Microgrids for enhancing the power grid resilience in extreme conditions", IEEE Transactions on Smart Grid, Vol. 8, No. 2, (2016), 589-597. doi: 10.1109/TSG.2016.2579999
  84. Chen, C., Wang, J. and Ton, D., "Modernizing distribution system restoration to achieve grid resiliency against extreme weather events: an integrated solution", Proceedings of the IEEE, Vol. 105, No. 7, (2017), 1267-1288. doi: 10.1109/JPROC.2017.2684780
  85. Arab, A., Tekin, E., Khodaei, A., Khator, S. K. and Han, Z., "System hardening and condition-based maintenance for electric power infrastructure under hurricane effects", IEEE Transactions on Reliability, Vol. 65, No. 3, (2016), 1457-1470. doi: 10.1109/TR.2016.2575445
  86. Wang, C., Wei, W., Wang, J., Liu, F., Qiu, F. and Carlos, M., "Robust defense strategy for gas–electric systems against malicious attacks", IEEE Transactions on Power Systems, Vol. 32, No. 4, (2016), 2953-2965. doi: 10.1109/TPWRS.2016.2628877
  87. Panteli, M., Trakas, D. N., Mancarella, P. and Hatziargyriou, N. D., "Power systems resilience assessment: Hardening and smart operational enhancement strategies", Proceedings of the IEEE, Vol. 105, No. 7, (2017), 1202-1213. doi: 10.1109/JPROC.2017.2691357
  88. Huang, G., Wang, J., Chen, C., Qi, J. and Guo, C., "Integration of preventive and emergency responses for power grid resilience enhancement", IEEE Transactions on Power Systems, Vol. 32, No. 6, (2017), 4451-4463. doi: 10.1109/TPWRS.2017.2685640
  89. Amirioun, M. H., Aminifar, F. and Lesani, H., "Towards proactive scheduling of microgrids against extreme floods", IEEE Transactions on Smart Grid, Vol. 9, No. 4, (2017), 3900-3902. doi: 10.1109/TSG.2017.2762906
  90. Yao, S., Wang, P. and Zhao, T., "Transportable energy storage for more resilient distribution systems with multiple microgrids", IEEE Transactions on Smart Grid, Vol. 10, No. 3, (2018), 3331-3341. doi: 10.1109/TSG.2018.2824820
  91. Sun, W., Liu, C.-C. and Liu, S., "Black start capability assessment in power system restoration", in 2011 IEEE Power and Energy Society General Meeting, (2011), 1-7. doi: 10.1109/PES.2011.6039752
  92. Sun, W., Liu, C.-C. and Zhang, L., "Optimal generator start-up strategy for bulk power system restoration", IEEE Transactions on Power Systems, Vol. 26, No. 3, (2010), 1357-1366. doi: 10.1109/TPWRS.2010.2089646
  93. Abbasi, S., Barati, M. and Lim, G. J., "A parallel sectionalized restoration scheme for resilient smart grid systems", IEEE Transactions on Smart Grid, Vol. 10, No. 2, (2017), 1660-1670. doi: 10.1109/TSG.2017.2775523
  94. Golshani, A., Sun, W., Zhou, Q., Zheng, Q. P. and Hou, Y., "Incorporating wind energy in power system restoration planning", IEEE Transactions on Smart Grid, Vol. 10, No. 1, (2017), 16-28. doi: 10.1109/TSG.2017.2729592
  95. Sarkar, R., Gusrialdi, A. and Qu, Z., "An adaptive restorative method for resilient power distribution networks", in 2016 IEEE Power and Energy Society General Meeting (PESGM), (2016), 1-5. doi: 10.1109/PESGM.2016.7741994
  96. Su, W., Wang, J. and Roh, J., "Stochastic energy scheduling in microgrids with intermittent renewable energy resources", IEEE Transactions on Smart grid, Vol. 5, No. 4, (2013), 1876-1883. doi: 10.1109/TSG.2013.2280645
  97. Liu, Y. and Singh, C., "A methodology for evaluation of hurricane impact on composite power system reliability", IEEE Transactions on Power Systems, Vol. 26, No. 1, (2010), 145-152. doi: 10.1109/TPWRS.2010.2050219
  98. Bie, Z., Lin, Y., Li, G. and Li, F., "Battling the extreme: A study on the power system resilience", Proceedings of the IEEE, Vol. 105, No. 7, (2017), 1253-1266. doi: 10.1109/JPROC.2017.2679040
  99. Ouyang, M. and Wang, Z., "Resilience assessment of interdependent infrastructure systems: With a focus on joint restoration modeling and analysis", Reliability Engineering & System Safety, Vol. 141, (2015), 74-82. doi: 10.1016/j.ress.2015.03.011
  100. Marnay, C., Aki, H., Hirose, K., Kwasinski, A., Ogura, S. and Shinji, T., "Japan's pivot to resilience: How two microgrids fared after the 2011 earthquake", IEEE Power and Energy Magazine, vol. 13, No. 3, (2015), 44-57. doi: 10.1109/MPE.2015.2397333
  101. Liang, L., Hou,Y., Hill, D. J. and Hui, S. Y. R., "Enhancing resilience of microgrids with electric springs", IEEE Transactions on Smart Grid, Vol. 9, No. 3, (2016), 2235-2247. doi: 10.1109/TSG.2016.2609603
  102. Pashajavid, E., Shahnia, F. and Ghosh, A., "Development of a self-healing strategy to enhance the overloading resilience of islanded microgrids", IEEE transactions on smart grid, Vol. 8, No. 2, (2015), 868-880. doi: 10.1109/TSG.2015.2477601
  103. Hussain, A., Bui, V.-H. and Kim, H.-M., "Optimal operation of hybrid microgrids for enhancing resiliency considering feasible islanding and survivability", IET Renewable Power Generation, Vol. 11, No. 6, (2017), 846-857. doi: 10.1049/iet-rpg.2016.0820
  104. Najafi, J., Peiravi, A. and Guerrero, J. M., "Power distribution system improvement planning under hurricanes based on a new resilience index", Sustainable Cities and Society, Vol. 39, (2018), 592-604. doi: 10.1016/j.scs.2018.03.022
  105. Najafi, J., Peiravi, A., Anvari-Moghaddam, A. and Guerrero, J. M., "Power-heat generation sources planning in microgrids to enhance resilience against islanding due to natural disasters", in 2019 IEEE 28th International Symposium on Industrial Electronics (ISIE), (2019), 2446-2451. doi: 10.1109/ISIE.2019.8781415
  106. He,Y., Shahidehpour, M., Li, Z., Guo, C. and Zhu, B., "Robust constrained operation of integrated electricity-natural gas system considering distributed natural gas storage", IEEE Transactions on Sustainable Energy, Vol. 9, No. 3, (2017), 1061-1071. doi: 10.1109/TSTE.2017.2764004
  107. Chen, C., Wang, J., Qiu, F. and Zhao, D., "Resilient distribution system by microgrids formation after natural disasters", IEEE Transactions on Smart Grid, Vol. 7, No. 2, (2015), 958-966. doi: 10.1109/TSG.2015.2429653
  108. Yan, M., He, Y., Shahidehpour, M., Ai, X., Li, Z. and Wen, J., "Coordinated regional-district operation of integrated energy systems for resilience enhancement in natural disasters", IEEE Transactions on Smart Grid, Vol. 10, No. 5, (2018), 4881-4892. doi: 10.1109/TSG.2018.2870358
  109. Paredes, R. and Dueñas-Osorio, L., "A time-dependent seismic resilience analysis approach for networked lifelines", in Proceedings of the 12th International Conference on Applications of Statistics and Probability in Civil Engineering (ICASP12), Vancouver, BC, Canada, (2015), 12-15. doi: 10.14288/1.0076219
  110. Strbac, G., Kirschen, D. and Moreno, R., "Reliability standards for the operation and planning of future electricity networks", Vol. 1: No. 3, (2016), 143-219. doi: 10.1561/3100000001
  111. Davis, C. M. and Overbye, T. J., "Multiple element contingency screening", IEEE Transactions on Power Systems, Vol. 26, No. 3, (2010), 1294-1301. doi: 10.1109/TPWRS.2010.2087366
  112. Kelly-Gorham, M. R., Hines,P. and Dobson, I., "Using historical utility outage data to compute overall transmission grid resilience", IEEE Transactions on Power Systems, (2019). doi: 10.1109/MEPS46793.2019.9395039
  113. Henry, D. and Ramirez-Marquez, J. E., "Generic metrics and quantitative approaches for system resilience as a function of time", Reliability Engineering & System Safety, Vol. 99, (2012), 114-122. doi: 10.1016/j.ress.2011.09.002
  114. Fotouhi, H., Moryadee, S. and Miller-Hooks, E., "Quantifying the resilience of an urban traffic-electric power coupled system", Reliability Engineering & System Safety, Vol. 163, (2017), 79-94. doi: 10.1016/j.ress.2017.01.026
  115. Nagarajan, H., Yamangil, E., Bent, R., Van Hentenryck, P. and Backhaus,S., "Optimal resilient transmission grid design", in 2016 Power Systems Computation Conference (PSCC), (2016), 1-7. doi: 10.1109/PSCC.2016.7540988
  116. Ma,S., Chen, B. and Wang, Z., "Resilience enhancement strategy for distribution systems under extreme weather events", IEEE Transactions on Smart Grid, Vol. 9, No. 2, (2016), 1442-1451. doi: 10.1109/TSG.2016.2591885
  117. Gholami, A., Shekari, T., Aminifar, F. and Shahidehpour, M., "Microgrid scheduling with uncertainty: The quest for resilience", IEEE Transactions on Smart Grid, Vol. 7, No. 6, (2016), 2849-2858. doi: 10.1109/TSG.2016.2598802
  118. Xiao, H. and Yeh, E. M., "Cascading link failure in the power grid: A percolation-based analysis", in 2011 IEEE International Conference on Communications Workshops (ICC), (2011), 1-6. doi: 10.1109/iccw.2011.5963573
  119. Xu, N., Guikema, S. D., Davidson, R. A., Nozick, L. K., Çağnan, Z. and Vaziri, K., "Optimizing scheduling of post‐earthquake electric power restoration tasks", Earthquake engineering & structural dynamics, Vol. 36, No. 2, (2007), 265-284. doi: 10.1002/eqe.623
  120. Anghel, M., Werley, K. A. and Motter, A. E., "Stochastic model for power grid dynamics", in 2007 40th Annual Hawaii International Conference on System Sciences (HICSS'07), (2007), 103-113. doi: 10.1109/HICSS.2007.500
  121. Fang, Y.-P., Pedroni, N. and Zio, E., "Resilience-based component importance measures for critical infrastructure network systems", IEEE Transactions on Reliability, Vol. 65, No. 2, (2016), 502-512. doi: 10.1109/TR.2016.2521761
  122. Wang,Y., Zhao, S., Zhou, Z., Botterud, A., Xu, Y. and Chen R., "Risk adjustable day-ahead unit commitment with wind power based on chance constrained goal programming", IEEE Transactions on Sustainable Energy, Vol. 8, No. 2, (2016), 530-541. doi: 10.1109/TSTE.2016.2608841
  123. Teymouri, F., Amraee, T., Saberi, H. and Capitanescu, F., "Toward controlled islanding for enhancing power grid resilience considering frequency stability constraints", IEEE Transactions on Smart Grid, Vol. 10, No. 2, (2017), 1735-1746. doi: 10.1109/TSG.2017.2777142
  124. Baringo, L. and Conejo, A. J., "Wind power investment: A Benders decomposition approach", IEEE Transactions on Power Systems, Vol. 27, No. 1, (2011), 433-441. doi: 10.1109/TPWRS.2011.2167764
  125. Gil, E., Aravena, I. and Cárdenas, R., "Generation capacity expansion planning under hydro uncertainty using stochastic mixed integer programming and scenario reduction", IEEE Transactions on Power Systems, Vol. 30, No. 4, (2014), 1838-1847. doi: 10.1109/TPWRS.2014.2351374
  126. Jin, S., Botterud, A. and Ryan, S. M., "Temporal versus stochastic granularity in thermal generation capacity planning with wind power", IEEE Transactions on Power Systems, Vol. 29, No. 5, (2014), 2033-2041. doi: 10.1109/TPWRS.2014.2299760
  127. Johnston, J., Henriquez-Auba, R., Maluenda, B. and Fripp, M., "Switch 0.2: a modern platform for planning high-renewable power systems", SoftwareX, Vol. 10, (2019). doi: 10.1016/j.softx.2019.100251
  128. Chen, Q., Kang, C., Xia, Q. and Zhong, J., "Power generation expansion planning model towards low-carbon economy and its application in China", IEEE Transactions on Power Systems, Vol. 25, No. 2, (2010), 1117-1125. doi: 10.1109/TPWRS.2009.2036925
  129. Hu, Q., Huang, G., Cai, Y. and Huang, Y., "Feasibility-based inexact fuzzy programming for electric power generation systems planning under dual uncertainties", Applied Energy, Vol. 88, No. 12, (2011), 4642-4654. doi: 10.1016/j.apenergy.2011.06.004
  130. Pereira, A. J. and Saraiva, J. T., "A decision support system for generation expansion planning in competitive electricity markets", Electric Power Systems Research, Vol. 80, No. 7, (2010), 778-787. doi: 10.1016/j.epsr.2009.12.003
  131. Dehghan, S., Kazemi, A. and Amjady, N., "Multi-objective robust transmission expansion planning using information-gap decision theory and augmented ɛ-constraint method", IET Generation, Transmission & Distribution, Vol. 8, No. 5, (2014), 828-840. doi: 10.1049/iet-gtd.2013.0427
  132. Ploussard, Q., Olmos, L. and Ramos, A., "A search space reduction method for transmission expansion planning using an iterative refinement of the DC load flow model", IEEE Transactions on Power Systems, Vol. 35, No.1, (2019), 152-162. doi: 10.1109/TPWRS.2019.2930719
  133. Lumbreras, S. and Ramos, A., "The new challenges to transmission expansion planning. Survey of recent practice and literature review", Electric Power Systems Research, Vol. 134, (2016), 19-29 .doi: 10.1016/j.epsr.2015.10.013
  134. Qiu,T., Xu, B., Wang, Y., Dvorkin, Y. and Kirschen, D. S., "Stochastic multistage coplanning of transmission expansion and energy storage", IEEE Transactions on Power Systems, Vol. 32, No. 1, (2016), 643-651. doi: 10.1109/TPWRS.2016.2553678
  135. Dehghan, S. and Amjady, N., "Robust transmission and energy storage expansion planning in wind farm-integrated power systems considering transmission switching", IEEE Transactions on Sustainable Energy, Vol. 7, No. 2, (2015), 765-774. doi: 10.1109/TSTE.2015.2497336
  136. Conejo, A. J., Cheng, Y., Zhang, N. and Kang, C., "Long-term coordination of transmission and storage to integrate wind power", CSEE Journal of Power and Energy Systems, Vol. 3, No. 1, (2017), 36-43. doi: 10.17775/CSEEJPES.2017.0006
  137. Zhang, X. and Conejo, A. J., "Coordinated investment in transmission and storage systems representing long-and short-term uncertainty", IEEE Transactions on Power Systems, Vol. 33, No. 6, (2018), 7143-7151. doi: 10.1109/TPWRS.2018.2842045
  138. Moreira, A., Street, A. and Arroyo, J. M., "An adjustable robust optimization approach for contingency-constrained transmission expansion planning", IEEE Transactions on Power Systems, Vol. 30, No. 4, (2014), 2013-2022. doi: 10.1109/TPWRS.2014.2349031
  139. Chen, B., Wang, J., Wang, L., He, Y. and Wang, Z., "Robust optimization for transmission expansion planning: Minimax cost vs. minimax regret", IEEE Transactions on Power Systems, Vol. 29, No. 6, (2014), 3069-3077. doi: 10.1109/TPWRS.2014.2313841
  140. Ruiz, C. and Conejo, A. J., "Robust transmission expansion planning", European Journal of Operational Research, Vol. 242, No. 2, (2015), 390-401. doi: 10.1016/j.ejor.2014.10.030
  141. Chen, B. and Wang, L., "Robust transmission planning under uncertain generation investment and retirement", IEEE Transactions on Power Systems, Vol. 31, No. 6, (2016), 5144-5152. doi: 10.1109/TPWRS.2016.2538960
  142. Mínguez, R. and García-Bertrand, R., "Robust transmission network expansion planning in energy systems: Improving computational performance", European Journal of Operational Research, Vol. 248, No. 1, (2016), 21-32. doi: 10.1016/j.ejor.2015.06.068
  143. Jabr, R. A., "Robust transmission network expansion planning with uncertain renewable generation and loads", IEEE Transactions on Power Systems, Vol. 28, No. 4, (2013), 4558-4567. doi: 10.1109/TPWRS.2013.2267058
  144. Akbari, T., Heidarizadeh, M., Siab, M. A. and Abroshan, M., "Towards integrated planning: Simultaneous transmission and substation expansion planning", Electric Power Systems Research, Vol. 86, (2012), 131-139. doi: 10.1016/j.epsr.2011.12.012
  145. Buygi, M. O., Shanechi, H. M., Balzer, G., Shahidehpour, M. and Pariz, N., "Network planning in unbundled power systems", IEEE Transactions on Power Systems, Vol. 21, No. 3, (2006), 1379-1387. doi: 10.1109/TPWRS.2006.873016
  146. Yu, H., Chung, C., Wong, K. and Zhang, J., "A chance constrained transmission network expansion planning method with consideration of load and wind farm uncertainties", IEEE Transactions on Power Systems, Vol. 24, No. 3, (2009), 1568-1576. doi: 10.1109/TPWRS.2009.2021202
  147. Braga, A. S. D. and Saraiva, J. T., "A multiyear dynamic approach for transmission expansion planning and long-term marginal costs computation", IEEE Transactions on Power Systems, Vol. 20, No. 3, (2005), 1631-1639. doi: 10.1109/TPWRS.2005.852121
  148. Zhao, J. H., Foster, J., Dong, Z. Y. and Wong, K. P., "Flexible transmission network planning considering distributed generation impacts", IEEE Transactions on Power Systems, Vol. 26, No.3, (2010), 1434-1443. doi: 10.1109/TPWRS.2010.2089994
  149. Fang,Y., Pedroni, N. and Zio, E., "Optimization of cascade‐resilient electrical infrastructures and its validation by power flow modeling", Risk Analysis, Vol. 35, No. 4, (2015), 594-607. doi: 10.1111/risa.12396
  150. Choobineh, M., Ansari, B. and Mohagheghi, S., "Vulnerability assessment of the power grid against progressing wildfires", Fire Safety Journal, Vol. 73, (2015), 20-28. doi: 10.1016/j.firesaf.2015.02.006
  151. Faghih, A. and Dahleh, M. A., "On Enhancing Resilience to Cascading Failures via Post-Disturbance Tweaking of Line Reactances", IEEE Transactions on Power Systems, Vol. 34, No. 6, (2019), 4921-4930. doi: 10.1109/TPWRS.2019.2922288
  152. Romero, N., Xu, N., Nozick, L. K., Dobson, I. and Jones, D., "Investment planning for electric power systems under terrorist threat", IEEE Transactions on Power Systems, Vol. 27, No. 1, (2011), 108-116. doi: 10.1109/TPWRS.2011.2159138
  153. Panteli, M., Mancarella, P., Wilkinson, S., Dawson, R. and Pickering, C., "Assessment of the resilience of transmission networks to extreme wind events", in 2015 IEEE Eindhoven PowerTech, (2015), 1-6. doi: 10.1109/PTC.2015.7232484
  154. Arroyo, J. M. and Galiana, F. D., "On the solution of the bilevel programming formulation of the terrorist threat problem", IEEE transactions on Power Systems, Vol. 20, No. 2, (2005),789-797. doi: 10.1109/TPWRS.2005.846198
  155. Motto, A. L., Arroyo, J. M. and Galiana, F. D., "A mixed-integer LP procedure for the analysis of electric grid security under disruptive threat", IEEE Transactions on Power Systems, Vol. 20, No. 3, (2005), 1357-1365. doi: 10.1109/TPWRS.2005.851942
  156. Motamedi, A., Zareipour, H., Buygi, M. O. and Rosehart, W. D., "A transmission planning framework considering future generation expansions in electricity markets", IEEE Transactions on Power Systems, Vol. 25, No. 4, (2010), 1987-1995. doi: 10.1109/TPWRS.2010.2046684
  157. Tekiner, H., Coit, D. W. and Felder, F. A., "Multi-period multi-objective electricity generation expansion planning problem with Monte-Carlo simulation", Electric Power Systems Research, Vol. 80, No. 12, (2010), 1394-1405. doi: 10.1016/j.epsr.2010.05.007
  158. Javadi, M. S. and Esmaeel Nezhad, A., "Multi‐objective, multi‐year dynamic generation and transmission expansion planning‐renewable energy sources integration for Iran's National Power Grid", International Transactions on Electrical Energy Systems, Vol. 29, No. 4, (2019). doi: 10.1002/etep.2810
  159. Jenabi ,M., Ghomi, S. M. T. F. and Smeers, Y., "Bi-level game approaches for coordination of generation and transmission expansion planning within a market environment", IEEE Transactions on Power systems, Vol. 28, No. 3, (2013), 2639-2650. doi: 10.1109/TPWRS.2012.2236110
  160. Mavalizadeh, H., Ahmadi, A. and Heidari, A., "Probabilistic multi-objective generation and transmission expansion planning problem using normal boundary intersection", IET Generation, Transmission & Distribution, Vol. 9, No. 6, (2014), 560-570. doi: 10.1049/iet-gtd.2014.0278
  161. Guerra, O. J., Tejada, D. A. and Reklaitis, G. V., "An optimization framework for the integrated planning of generation and transmission expansion in interconnected power systems", Applied Energy, Vol. 170, (2016), 1-21. doi: 10.1016/j.apenergy.2016.02.014
  162. Zhang, N., Hu, Z., Shen, B., Dang, S., Zhang, J. and Zhou,Y., "A source–grid–load coordinated power planning model considering the integration of wind power generation", Applied Energy, Vol. 168, (2016), 13-24. doi: 10.1016/j.apenergy.2016.01.086
  163. Hu, Y., Bie, Z., Ding, T. and Lin, Y., "An NSGA-II based multi-objective optimization for combined gas and electricity network expansion planning", Applied Energy, Vol. 167, ( 2016), 280-293. doi: 10.1016/j.apenergy.2015.10.148
  164. Muñoz-Delgado, G., Contreras, J. and Arroyo, J. M., "Multistage generation and network expansion planning in distribution systems considering uncertainty and reliability", IEEE Transactions on Power Systems, Vol. 31, No. 5, (2015), 3715-3728. doi: 10.1109/TPWRS.2015.2503604
  165. Baringo L. and Baringo, A., "A stochastic adaptive robust optimization approach for the generation and transmission expansion planning", IEEE Transactions on Power Systems, Vol. 33, No. 1, (2017), 792-802. doi: 10.1109/TPWRS.2017.2713486
  166. Unsihuay-Vila, C., Marangon-Lima, J. W., De Souza, A. Z., Perez-Arriaga, I. J. and Balestrassi, P. P., "A model to long-term, multiarea, multistage, and integrated expansion planning of electricity and natural gas systems", IEEE Transactions on Power Systems, Vol. 25, No. 2, (2010), 1154-1168. doi: 10.1109/TPWRS.2009.2036797
  167. Alizadeh, B. and Jadid, S., "A dynamic model for coordination of generation and transmission expansion planning in power systems", International Journal of Electrical Power & Energy Systems, Vol. 65, (2015), 408-418. doi: 10.1016/j.ijepes.2014.10.007
  168. Alizadeh, B. and Jadid, S., "Reliability constrained coordination of generation and transmission expansion planning in power systems using mixed integer programming", IET Generation, Transmission & Distribution, Vol. 5, No. 9, (2011), 948-960. doi: 10.1049/iet-gtd.2011.0122
  169. Khodaei, A. and Shahidehpour, M., "Microgrid-based co-optimization of generation and transmission planning in power systems", IEEE Transactions on Power Systems, Vol. 28, No. 2, (2012), 1582-1590. doi: 10.1109/TPWRS.2012.2224676
  170. Romero, N. R., Nozick, L. K., Dobson, I. D., Xu, N. and Jones, D. A., "Transmission and generation expansion to mitigate seismic risk", IEEE Transactions on Power Systems, Vol. 28, No. 4, (2013), 3692-3701. doi: 10.1109/TPWRS.2013.2265853
  171. Carrión, M., Arroyo, J. M. and Alguacil, N., "Vulnerability-constrained transmission expansion planning: A stochastic programming approach", IEEE Transactions on Power Systems, Vol. 22, No. 4, (2007), 1436-1445. doi: 10.1109/TPWRS.2007.907139
  172. Nemati, H., Latify, M. A. and Yousefi, G. R., "Coordinated generation and transmission expansion planning for a power system under physical deliberate attacks", International Journal of Electrical Power & Energy Systems, Vol. 96, ( 2018), 208-221. doi: 10.1016/j.ijepes.2017.09.031
  173. Vaziri, P., Davidson, R., Apivatanagul, P. and Nozick, L., "Identification of optimization-based probabilistic earthquake scenarios for regional loss estimation", Journal of Earthquake Engineering, Vol. 16, No. 2, (2012), 296-315. doi: 10.1080/13632469.2011.597486
  174. Çağnan, Z., Davidson, R. A. and Guikema, S. D., "Post-earthquake restoration planning for Los Angeles electric power", Earthquake Spectra, Vol. 22, No. 3, (2006), 589-608. doi: 10.1193/1.2222400
  175. Shivaie, M., Kiani-Moghaddam, M. and Weinsier, P. D., "A vulnerability-constrained quad-level model for coordination of generation and transmission expansion planning under seismic-and terrorist-induced events", International Journal of Electrical Power & Energy Systems, Vol. 120, (2020). doi: 10.1016/j.ijepes.2020.105958
  176. Cervigni, R., Liden, R., Neumann, J. E. and Strzepek, K. M., "Enhancing the climate resilience of Africa's infrastructure: the power and water sectors", (2015).
  177. Jayadev, G., Leibowicz, B. D. and Kutanoglu, E., "US electricity infrastructure of the future: Generation and transmission pathways through 2050", Applied Energy, Vol. 260, (2020). doi: 10.1016/j.apenergy.2019.114267
  178. Rezaei, M., Askari, M. T., Amirahmadi, M. and Ghods, V., "Dynamic Multi-Level Generation and Transmission Expansion Planning Model of Multi-Carrier Energy System to Improve Resilience of Power System", Journal of Industrial Electronics Control and Optimization, (2023). doi: 10.22111/ieco.2023.42385.1428
  179. Askari, M. T., Ab Kadir, M. Z. A., Hizam, H. and Jasni, J., "A new comprehensive model to simulate the restructured power market for seasonal price signals by considering on the wind resources", Journal of Renewable and Sustainable Energy 6, No. 2, (2014). doi: 10.1063/1.4869141
  180. Askari, M. T., Ab Kadir, M. Z. A., Tahmasebi, M. and Bolandifar, E., "Modeling optimal long-term investment strategies of hybrid wind-thermal companies in restructured power market", Journal of Modern Power Systems and Clean Energy 7, No. 5, (2019), 1267-1279. doi: 10.1007/s40565-019-0505-x
  181. Hosseini Mola, J., Barforoshi, T. and Adabi Firouzjaee, J., "Distributed generation expansion planning considering load growth uncertainty: A novel multi-period stochastic model", International Journal of Engineering, Transactions C: Aspects, Vol.31, No. 3, (2018), 405-414. doi: 10.5829/ije.2018.31.03c.02
International Journal of Engineering
Volume 36, Issue 5
TRANSACTIONS B: Applications
May 2023
Pages 824-841

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