Mixed integer optimal control of an intermittently aerated sequencing batch reactor for wastewater treatment |
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| Affiliation: | 1. Chair of Process Dynamics and Operation, Department of Process Engineering, Technical University Berlin, Sekr. KWT-9, Str. des 17. Juni 135, D-10623 Berlin, Germany;2. Chair for Bioprocess Engineering, Department of Biotechnology, Technical University Berlin, Sekr. ACK24, Ackerstr. 71-76, D-13355 Berlin, Germany;1. Department of Power Engineering, Jadavpur University, Salt Lake Campus, LB-8, Sector 3, Kolkata 700098, India;2. School of Electronics and Computer Science, University of Southampton, Southampton SO17 1BJ, United Kingdom;1. Department of Control Systems Engineering, Gdansk University of Technology, ul. G. Narutowicza 11/12, 80-233 Gdansk, Poland;2. GForces Web Management Poland, ul. Trzy Lipy 3, 80-172 Gdansk, Poland;3. Department of Electronic, Electrical and Computer Engineering, College of Engineering and Physical Sciences, University of Birmingham, Edgbaston, Birmingham B15 2TT, UK;1. BIC-ESAT and SKL-ESPC, College of Environmental Sciences and Engineering, Peking University, Beijing, 100871, China;2. State Key Laboratory of Organic Geochemistry and Guangdong Key Laboratory of Environmental Protection and Resources Utilization, Guangzhou Institute of Geochemistry, Chinese Academy of Sciences, Guangzhou, 510640, China;1. Dpto. Informática y Automática. Facultad de Ciencias. Plaza de la Merced s/n, 37008 Salamanca, Spain;2. Dpto. Informática y Automática. E.T.S. Ingeniería Industrial de Béjar. Av. Fernando Ballesteros s/n, 37700 Béjar, Salamanca, Spain |
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| Abstract: | Optimal aeration control strategies for sequencing batch reactors in WWT with bypass nitrification are hereby studied. The operation is defined alternating aerobic and anoxic phases with high frequency. The controlled variable, the aeration, can only adopt fixed values, on and off, leading to a discrete trajectory of bang–bang type. The problem is to compute the number of switches and individual length of each aerobic and anoxic stage. This leads to a mixed integer nonlinear optimal control problem (MINTOC). The solution is challenging, since both integer and continuous variables ought to be considered in the optimization. In contrast to previous work, where optimization is performed based on the separation and independent solution of the integer and continuous problem, we apply an algorithm originally proposed by Sager (2005). The optimization program minimizes operation time and energy consumption. Effluent concentrations are considered as nonlinear constraints in accordance to environmental regulations. |
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| Keywords: | Mixed integer optimal control Wastewater treatment Sequencing batch reactor Intermittent aeration Activated sludge process |
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