Wind farm layout design optimization through multi-scenario decomposition with complementarity constraints

References

• Balling, R. J., and J. Sobieszczanski-Sobieski. 1996. “Optimization of Coupled Systems: A Critical Overview of Approaches.” AIAA Journal 34 (1): 6–17. doi: 10.2514/3.13015
   Web of Science ®Google Scholar
• Bertsekas, D. P. 2003. Nonlinear Programming. 2nd ed. Belmont, MA: Athena Scientific.
   Google Scholar
• Burlaga, L. F. 2000. “Lognormal Distributions and Spectra of Solar Wind Plasma Fluctuations: Wind 1995–1998.” Journal of Geophysical Research 105 (42): 2357–2364. doi: 10.1029/1999JA900442
   Web of Science ®Google Scholar
• Cassola, F., M. Burlando, M. Antonelli, and C. Ratto. 2008. “Optimization of the Regional Spatial Distribution of Wind Power Plants to Minimize the Variability of Wind Energy Input into Power Supply Systems.” Journal of Applied Meteorology and Climatology 47 (12): 3099–3116. doi: 10.1175/2008JAMC1886.1
   Web of Science ®Google Scholar
• Chen, L., and E. MacDonald. 2011. “A New Model for Wind Farm Layout Optimization with Landowner Decisions.” In Proceedings of the ASME 2011 International Design Engineering Technical Conferences, 26–31 August, 2011, Washington, DC. New York: ASME.
   Google Scholar
• Chowdhury, S., J. Zhang, A. Messac, and L. Castillo. 2012a. “Characterizing the Influence of Land Area and Nameplate Capacity on the Optimal Wind Farm Performance.” In Proceedings of the 6th ASME International Conference on Energy Sustainability, 2012, 23–26 July, San Diego, CA. New York: ASME.
   Google Scholar
• Chowdhury, Souma, Jie Zhang, Achille Messac, and Luciano Castillo. 2012b. “Unrestricted Wind Farm Layout Optimization (UWFLO): Investigating Key Factors Influencing the Maximum Power Generation.” Renewable Energy 38 (1): 16–30. doi: 10.1016/j.renene.2011.06.033
   Web of Science ®Google Scholar
• Christie, David, and Mark Bradley. 2012. “Optimising Land Use for Wind Farms.” Energy for Sustainable Development 16 (4): 471–475. http://www.sciencedirect.com/science/article/pii/-S0973082612000488. doi: 10.1016/j.esd.2012.07.005
   Web of Science ®Google Scholar
• Coello Coello, Carlos A. 2002. “Theoretical and Numerical Constraint-Handling Techniques Used With Evolutionary Algorithms: A Survey of the State of the Art.” Computer Methods in Applied Mechanics and Engineering 191 (11-12): 1245–1287. doi: 10.1016/S0045-7825(01)00323-1
   Web of Science ®Google Scholar
• Corotis, R. B., A. B. Sigl, and J. Klein. 1978. “Probability Models of Wind Velocity Magnitude and Persistence.” Solar Energy 20 (6): 483–493. doi: 10.1016/0038-092X(78)90065-8
   Web of Science ®Google Scholar
• Couture, T., and Y. Gagnon. 2010. “An Analysis of Feed-In Tariff Remuneration Models: Implications for Renewable Energy Investment.” Energy Policy 38 (2): 955–965. doi: 10.1016/j.enpol.2009.10.047
   Web of Science ®Google Scholar
• Crespo, A., J. Hernandez, and S. Frandsen. 1999. “Survey of Modelling Methods for Wind Turbine Wakes and Wind Farms.” Wind Energy 2 (1): 1–24. doi: 10.1002/(SICI)1099-1824(199901/03)2:1<1::AID-WE16>3.0.CO;2-7
   Google Scholar
• Denholm, Paul, Maureen Hand, Maddalena Jackson, and Sean Ong. 2009. Land-Use Requirements of Modern Wind Power Plants in the United States. Tech. Rep. NREL/TP-6A2-45834. Golden, CO: National Renewable Energy Laboratory.
   Google Scholar
• Du Pont, B. L., and J. Cagan. 2012. “An Extended Pattern Search Approach to Wind Farm Layout Optimization.” Journal of Mechanical Design 134 (8): 1–18. Paper No. 081002. http://dx.doi.org/10.1115/1.4006997. doi: 10.1115/1.4006997
   Web of Science ®Google Scholar
• European Commission. 1997. “Energy for the Future: Renewable Sources of Energy—White Paper for a Community Strategy and Action Plan.” COM(97)599 final (26/11/1997). Accessed November 12, 2013. http://europa.eu/-documents/comm/-white_papers/pdf/-com97_599_en.pdf.
   Google Scholar
• Frandsen, S., R. Barthelmie, S. Pryor, O. Rathmann, S. Larsen, J. Hojstrup, and M. Thogerson. 2006. “Analytical Modelling of Wind Speed Deficit in Large Offshore Wind Farms.” Wind Energy 9 (1): 39–53. doi: 10.1002/we.189
   Web of Science ®Google Scholar
• González, Javier Serrano, Angel G. Gonzalez Rodriguez, José Castro Mora, Jesús Riquelme Santos, and Manuel Burgos Payan. 2010. “Optimization of Wind Farm Turbines Layout Using an Evolutive Algorithm.” Renewable Energy 35 (8): 1671–1681. doi: 10.1016/j.renene.2010.01.010
   Web of Science ®Google Scholar
• Grady, S. A., M. Y. Hussaini, and M. M. Abdullah. 2005. “Placement of Wind Turbines Using Genetic Algorithms.” Renewable Energy 30 (2): 259–270. http://www.sciencedirect.com/science/article/pii/S0960148104001867. doi: 10.1016/j.renene.2004.05.007
   Web of Science ®Google Scholar
• Haupt, Randy L., and Sue Ellen Haupt. 2004. Practical Genetic Algorithms: Hoboken, NJ: Wiley-Interscience.
   Google Scholar
• Huang, H. 2007. “Distributed Genetic Algorithm for Optimization of Wind Farm Annual Profits.” In 2007 International Conference on Intelligent Systems Applications to Power Systems, 5–8 November, 2007, Toki Messe, Niigata. Piscataway, NJ: IEEE, 1–6.
   Google Scholar
• Huang, H. 2009. “Efficient Hybrid Distributed Genetic Algorithms for Wind Turbine Positioning in Large Wind Farms.” In 2009 IEEE International Symposium on Industrial Electronics, 5–8 July, Seoul, Korea. Piscataway, NJ: IEEE. 2196–2201.
   Google Scholar
• Katic, I., J. Hojstrup, and N. O. Jensen. 1986. “A Simple Model for Cluster Efficiency.” In Proceedings of the European Wind Energy Association Conference and Exhibition (EWEC’86), Rome, October 7–9, edited by W. Palz and E. Sesto, Vol. 1, 407–410. Rome: A. Raguzzi for the Italian Section of the International Solar Energy Society.
   Google Scholar
• Kusiak, A., and H. Zheng. 2010. “Optimization of Wind Turbine Energy and Power Factor with an Evolutionary Computation Algorithm.” Energy 35 (3): 324–1332. doi: 10.1016/j.energy.2009.11.015
   Web of Science ®Google Scholar
• Kwong, W. Y., P. Y. Zhang, D. Romero, J. Moran, M. Morgenroth, and C. Amon. 2012. “Wind Farm Layout Optimization Considering Energy Generation and Noise Propagation.” In Proceedings of the 2012 ASME International Design Engineering Technical Conferences, 12–15 August, Chicago, IL. New York: ASME.
   Google Scholar
• Lackner, M. A., and C. N. Elkinton. 2007. “An Analytical Framework for Offshore Wind Farm Layout Optimization.” Wind Engineering 31 (1): 17–31. doi: 10.1260/030952407780811401
   Google Scholar
• Larsen, Gunner Chr., Helge Aagaard Madsen, Niels Troldborg, Torben J. Larsen, Pierre-Elouan Rèhorè, Peter Fuglsang, and Søren Ott. 2011. TOPFARM—Next Generation Design Tool for Optimisation of Wind Farm Topology and Operation. Forskningscenter Risoe, Risø Nationallaboratoriet for Bæredygtig Energi, Risoe-R. Danmarks Tekniske Universitet, Denmark.
   Google Scholar
• Lu, Shen, and Harrison M. Kim. 2010. “A Regularized Inexact Penalty Decomposition Algorithm for Multidisciplinary Design Optimization Problems with Complementarity Constraints.” Journal of Mechanical Design 132 (4): 1–12. Paper No. 041005. http://dx.doi.org/10.1115/1.4001206. doi: 10.1115/1.4001206
   Web of Science ®Google Scholar
• Lu, Shen, Nathan B. Schroeder, Harrison M. Kim, and Uday V. Shanbhag. 2010. “Hybrid Power/Energy Generation Through Multidisciplinary and Multilevel Design Optimization with Complementarity Constraints.” Journal of Mechanical Design 132 (10): 1–12. Paper No. 101007. http://dx.doi.org/10.1115/1.4002292. doi: 10.1115/1.4002292
   Web of Science ®Google Scholar
• Lu, S., U. V. Shanbhag, and H. M. Kim. 2008. “Multidisciplinary and Multilevel Design Optimization Problems with Complementarity Constraints.” In Proceedings of the 12th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, 10–12 September, Victoria, BC, Canada, Red Hook, NY: Curran Associates, Inc.
   Google Scholar
• Luo, Z.-Q., J.-S. Pang, and D. Ralph. 1996. Mathematical Programs with Equilibrium Constraints. Cambridge, UK: Cambridge University Press.
   Google Scholar
• Marmidis, G., S. Lazarou, and E. Pyrgioti. 2008. “Optimal Placement of Wind Turbines in a Wind Park Using Monte Carlo Simulation.” Renewable Energy 33 (7): 1455–1460. doi: 10.1016/j.renene.2007.09.004
   Web of Science ®Google Scholar
• Mosetti, G., C. Poloni, and B. Diviacco. 1994. “Optimization of Wind Turbine Positioning in Large Wind Farms by Means of a Genetic Algorithm.” Journal of Wind Engineering and Industrial Aerodynamics 51 (1): 105–106. doi: 10.1016/0167-6105(94)90080-9
   Web of Science ®Google Scholar
• Mustakerov, Ivan, and Daniela Borissova. 2010. “Wind Turbines Type and Number Choice Using Combinatorial Optimization.” Renewable Energy 35 (9): 1887–1894. doi: 10.1016/j.renene.2009.12.012
   Web of Science ®Google Scholar
• Nicks, A. D., and L. J. Lane. 1989. “Weather Generator.” In USDA Water Erosion Prediction Project: Hillslope Profile Model Documentation. NSERL Report No. 2, edited by A. D. Nicks and L. J. Lane. p2.1–2.19. West Lafayette, IN: USDA-ARS National Soil Erosion Research Laboratory.
   Google Scholar
• Rivas, Rajai Aghabi. 2008. “Optimization of Onshore Wind Farm Layouts.” Master's diss., Technical University of Denmark.
   Google Scholar
• Skidmore, E. L., and J. Tatarko. 1990. “Stochastic Wind Simulation for Erosion Modeling.” Trasactions of the American Society of Agricultural Engineers 33 (6): 1893–1899. doi: 10.13031/2013.31555
   Google Scholar
• Sobieszczanski-Sobieski, J. 1995. Multidisciplinary Design Optimization: An Emerging New Engineering Discipline. Advances in Structural Optimization, 483–496. The Netherlands: Kluwer Academic.
   Google Scholar
• Takel, E. S., and J. M. Brown. 1978. “Note on the Use of Weibull Statistic to Characterize Wind Speed Data.” Journal of Applied Meteorology 17 (4): 556–559. doi: 10.1175/1520-0450(1978)017<0556:NOTUOW>2.0.CO;2
   Google Scholar
• Tosserams, S., L. F. P. Etman, and J. E. Rooda. 2007. “An Augmented Lagrangian Decomposition Method for Quasi-Separable Problems in MDO.” Structural and Multidisciplinary Optimization 34 (3): 211–227. doi: 10.1007/s00158-006-0077-z
   Web of Science ®Google Scholar
• United Nations. 1998. “Kyoto Protocol to the United Nations Framework Convention on Climate Change.” Accessed November 12, 2013. http://unfccc.int/resource/docs/convkp/kpeng.pdf.
   Google Scholar
• Walford, C. A. 2006. “Wind Turbine Reliability: Understanding and Minimizing Wind Turbine Operation and Maintenance Costs.” Report No. SAND2006-1100. Albuquerque, NM: Sandia National Laboratories. Accessed November 12, 2013. http://www.prod.sandia.gov/cgi-bin/techlib/access-control.pl/2006/061100.pdf.
   Google Scholar
• Wan, C., J. Wang, G. Yang, and X. Zhang. 2009. “Optimal Siting of Wind Turbines Using Real-Coded Genetic Algorithms.” In European Wind Energy Conference and Exhibition (EWEC’09), 31 March–3 April, Marseille, France.
   Google Scholar
• Wan, Chunqiu, Jun Wang, Geng Yang, and Xing Zhang. 2010. “Optimal Micro-Siting of Wind Farms by Particle Swarm Optimization.” In Advances in Swarm Intelligence, edited by Ying Tan, Yuhui Shi, and Kay Chen Tan, 198–205. Berlin: Springer.
   Google Scholar
• WWEA Staff. 2010. “World Wind Energy Report 2010.” In 10th World Wind Energy Conference & Renewable Energy Exhibition—Greening Energy: Converting Deserts into Powerhouses (WWEC2011), Cairo, Egypt, October 31–November 2, 2011. Bonn, Germany: World Wind Energy Association.
   Google Scholar
• Zhang, J., S. Chowdhurya, A. Messacb, and L. Castillo. 2013. “A Multivariate and Multimodal Wind Distribution Model.” Renewable Energy 51 (3): 1324–1332.
   Google Scholar
• Zitzler, E., and L. Thiele. 1999. “Multiobjective Evolutionary Algorithms: A Comparative Case Study and the Strength Pareto Approach.” IEEE Transactions on Evolutionary Computation 3 (4): 257–271. doi: 10.1109/4235.797969
   Web of Science ®Google Scholar