IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v177y2020icp105-119.html
   My bibliography  Save this article

Mathematical modeling of oxygen control in biocell composting plants

Author

Listed:
  • Martalò, Giorgio
  • Bianchi, Cesidio
  • Buonomo, Bruno
  • Chiappini, Massimo
  • Vespri, Vincenzo

Abstract

We propose an optimal control problem to determine the best aeration strategy for aerobic biodegradation in a composting cell. The goal is to minimize the deviation of the oxygen level from its reference value for the entire duration of the biodegradation process. The mathematical model includes several chemical phenomena, like the aerobic biodegradation of the soluble substrate by means of a bacterial biomass, the hydrolysis of insoluble substrate and the biomass decay. The oxygen and the optimal mechanical aeration time profiles are obtained and discussed. Finally, the plant performance is evaluated in absence and presence of external aeration by means of several specific indices.

Suggested Citation

  • Martalò, Giorgio & Bianchi, Cesidio & Buonomo, Bruno & Chiappini, Massimo & Vespri, Vincenzo, 2020. "Mathematical modeling of oxygen control in biocell composting plants," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 177(C), pages 105-119.
    • Handle: RePEc:eee:matcom:v:177:y:2020:i:c:p:105-119
    DOI: 10.1016/j.matcom.2020.04.011
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475420301245
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.matcom.2020.04.011?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Dieter Grass & Jonathan P. Caulkins & Gustav Feichtinger & Gernot Tragler & Doris A. Behrens, 2008. "Optimal Control of Nonlinear Processes," Springer Books, Springer, number 978-3-540-77647-5, October.
    2. Cherubini, Francesco & Bargigli, Silvia & Ulgiati, Sergio, 2009. "Life cycle assessment (LCA) of waste management strategies: Landfilling, sorting plant and incineration," Energy, Elsevier, vol. 34(12), pages 2116-2123.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Mu, Yu & Li, Zuxiong, 2023. "Bifurcation dynamics of a delayed chemostat system with spatial diffusion," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 205(C), pages 186-204.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Sevigné Itoiz, E. & Gasol, C.M & Farreny, R. & Rieradevall, J. & Gabarrell, X., 2013. "CO2ZW: Carbon footprint tool for municipal solid waste management for policy options in Europe. Inventory of Mediterranean countries," Energy Policy, Elsevier, vol. 56(C), pages 623-632.
    2. Shi, Yi & Deng, Yawen & Wang, Guoan & Xu, Jiuping, 2020. "Stackelberg equilibrium-based eco-economic approach for sustainable development of kitchen waste disposal with subsidy policy: A case study from China," Energy, Elsevier, vol. 196(C).
    3. Jacopo Zotti & Andrea Bigano, 2019. "Write circular economy, read economy’s circularity. How to avoid going in circles," Economia Politica: Journal of Analytical and Institutional Economics, Springer;Fondazione Edison, vol. 36(2), pages 629-652, July.
    4. Maria Arvaniti & Chandra K. Krishnamurthy & Anne-Sophie Crépin, 2019. "Time-consistent resource management with regime shifts," CER-ETH Economics working paper series 19/329, CER-ETH - Center of Economic Research (CER-ETH) at ETH Zurich.
    5. Wrzaczek, Stefan & Kuhn, Michael & Prskawetz, Alexia & Feichtinger, Gustav, 2010. "The reproductive value in distributed optimal control models," Theoretical Population Biology, Elsevier, vol. 77(3), pages 164-170.
    6. A. J. Novak & G. Feichtinger & G. Leitmann, 2010. "A Differential Game Related to Terrorism: Nash and Stackelberg Strategies," Journal of Optimization Theory and Applications, Springer, vol. 144(3), pages 533-555, March.
    7. Dieter Grass, 2015. "From 0D to 1D spatial models using OCMat," Papers 1505.03956, arXiv.org.
    8. Domínguez-May, Roger & Poot-López, Gaspar R. & Hernández, Juan & Gasca-Leyva, Eucario, 2020. "Dynamic optimal ration size in tilapia culture: Economic and environmental considerations," Ecological Modelling, Elsevier, vol. 420(C).
    9. Zeiler, I. & Caulkins, J.P. & Tragler, G., 2011. "Optimal control of interacting systems with DNSS property: The case of illicit drug use," Journal of Economic Behavior & Organization, Elsevier, vol. 78(1), pages 60-73.
    10. Nabavi-Pelesaraei, Ashkan & Azadi, Hossein & Van Passel, Steven & Saber, Zahra & Hosseini-Fashami, Fatemeh & Mostashari-Rad, Fatemeh & Ghasemi-Mobtaker, Hassan, 2021. "Prospects of solar systems in production chain of sunflower oil using cold press method with concentrating energy and life cycle assessment," Energy, Elsevier, vol. 223(C).
    11. Pöschl, Martina & Ward, Shane & Owende, Philip, 2010. "Evaluation of energy efficiency of various biogas production and utilization pathways," Applied Energy, Elsevier, vol. 87(11), pages 3305-3321, November.
    12. Brito, Paulo B. & Costa, Luís F. & Dixon, Huw, 2013. "Non-smooth dynamics and multiple equilibria in a Cournot–Ramsey model with endogenous markups," Journal of Economic Dynamics and Control, Elsevier, vol. 37(11), pages 2287-2306.
    13. Sofia Dahlgren & Jonas Ammenberg, 2021. "Sustainability Assessment of Public Transport, Part II—Applying a Multi-Criteria Assessment Method to Compare Different Bus Technologies," Sustainability, MDPI, vol. 13(3), pages 1-30, January.
    14. G. Feichtinger & A. Steindl, 2006. "DNS Curves in a Production/Inventory Model," Journal of Optimization Theory and Applications, Springer, vol. 128(2), pages 295-308, February.
    15. Hatem Abushammala & Muhammad Adil Masood & Salma Taqi Ghulam & Jia Mao, 2023. "On the Conversion of Paper Waste and Rejects into High-Value Materials and Energy," Sustainability, MDPI, vol. 15(8), pages 1-21, April.
    16. G. Perkoulidis & A. Malamakis & G. Banias & N. Moussiopoulos, 2022. "Development of a Methodological Framework for the Evaluation of the Material and Energy Recovery Potential of Municipal Solid Waste Management: Implementation in Five Greek Regions," Circular Economy and Sustainability, Springer, vol. 2(1), pages 313-326, March.
    17. Agostinho, Feni & Almeida, Cecília M.V.B. & Bonilla, Silvia H. & Sacomano, José B. & Giannetti, Biagio F., 2013. "Urban solid waste plant treatment in Brazil: Is there a net emergy yield on the recovered materials?," Resources, Conservation & Recycling, Elsevier, vol. 73(C), pages 143-155.
    18. Akbulut, Abdullah, 2012. "Techno-economic analysis of electricity and heat generation from farm-scale biogas plant: Çiçekdağı case study," Energy, Elsevier, vol. 44(1), pages 381-390.
    19. Jamie E. Filer & Justin D. Delorit & Andrew J. Hoisington & Steven J. Schuldt, 2020. "Optimizing the Environmental and Economic Sustainability of Remote Community Infrastructure," Sustainability, MDPI, vol. 12(6), pages 1-15, March.
    20. Hinloopen, J. & Smrkolj, G. & Wagener, F.O.O., 2013. "In Defense of Trusts: R&D Cooperation in Global Perspective," CeNDEF Working Papers 13-05, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:matcom:v:177:y:2020:i:c:p:105-119. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.