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A heuristic method for simultaneous tower and pattern-free field optimization on solar power systems
Affiliation:1. Department of Statistics and Operations Research, University of Seville, Spain;2. Mathematics Institute of the University of Seville, Spain;3. Department of Partial equations and Numerical analysis, University of Seville, Spain;4. Abengoa Solar New Technologies, Seville, Spain;1. Institute of Solar Research, German Aerospace Center, Professor-Rehm-Straße 1, D-52428 Jülich, Germany;2. Institute of Solar Research, German Aerospace Center, Pfaffenwaldring 38, D-70569 Stuttgart, Germany;3. Institute of Solar Research, German Aerospace Center, Linder Höhe, D-51147 Köln, Germany;1. National Renewable Energy Center (CENER), Solar Thermal Energy Department, Address: c/Ciudad de la Innovación, 7. Sarriguren (Navarra), Spain;2. Public University of Navarre (UPNA), Statistics and Operations Research Department Address: C/Arrosadía, s/n, Pamplona. Pamplona (Navarra), Spain;1. Department of Statistics and Operations Research, University of Seville, Spain;2. Mathematics Institute of the University of Seville, Spain;3. Department of Partial Equations and Numerical Analysis, University of Seville, Spain;4. Abengoa Solar New Technologies, Seville, Spain;1. School of Energy, Power and Mechanical Engineering, National Thermal Power Engineering & Technology Research Center, Key Laboratory of Condition Monitoring and Control for Power Plant Equipment of Ministry of Education, North China Electric Power University, Beijing 102206, China;2. College of Pipeline and Civil Engineering, China University of Petroleum, Qingdao 266580, China
Abstract:A heuristic method for optimizing a solar power tower system is proposed, in which both heliostat field (heliostat locations and number) and the tower (tower height and receiver size) are simultaneously considered.Maximizing the thermal energy collected per unit cost leads to a difficult optimization problem due to its characteristics: it has a nonconvex black-box objective function with computationally expensive evaluation and nonconvex constraints.The proposed method sequentially optimizes the field layout for a given tower configuration and then, the tower design is optimized for the previously obtained field layout. A greedy-based heuristic algorithm is presented to address the heliostat location problem. This algorithm follows a pattern-free method. The only constraints to be considered are the field region and the nonconvex constraints (which allow heliostats to not collide).The absence of a geometrical pattern to design the field and the simultaneous optimization of the field and the tower designs make this approach different from the existing ones. Our method is compared against other proposals in the literature of heliostat field optimization.
Keywords:Solar thermal power  Heliostat field layout  Thermo-economic optimization  Nonconvex optimization  Greedy algorithm
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