IDEAS home Printed from https://ideas.repec.org/a/gam/jeners/v13y2020i5p1233-d329508.html
   My bibliography  Save this article

Flow Allocation in Meshed AC-DC Electricity Grids

Author

Listed:
  • Fabian Hofmann

    (Frankfurt Institute for Advanced Studies (FIAS), Goethe University, 60438 Frankfurt, Germany
    This paper is an extended version of our paper published in Sdewes 2019.)

  • Markus Schlott

    (Frankfurt Institute for Advanced Studies (FIAS), Goethe University, 60438 Frankfurt, Germany
    This paper is an extended version of our paper published in Sdewes 2019.)

  • Alexander Kies

    (Frankfurt Institute for Advanced Studies (FIAS), Goethe University, 60438 Frankfurt, Germany
    This paper is an extended version of our paper published in Sdewes 2019.)

  • Horst Stöcker

    (Frankfurt Institute for Advanced Studies (FIAS), Goethe University, 60438 Frankfurt, Germany)

Abstract

In power systems, flow allocation (FA) methods enable to allocate the usage and costs of the transmission grid to each single market participant. Based on predefined assumptions, the power flow is split into isolated generator-specific or producer-specific sub-flows. Two prominent FA methods, Marginal Participation (MP) and Equivalent Bilateral Exchanges (EBEs), build upon the linearized power flow and thus on the Power Transfer Distribution Factors (PTDFs). Despite their intuitive and computationally efficient concepts, they are restricted to networks with passive transmission elements only. As soon as a significant number of controllable transmission elements, such as high-voltage direct current (HVDC) lines, operate in the system, they lose their applicability. This work reformulates the two methods in terms of Virtual Injection Patterns (VIPs), which allows one to efficiently introduce a shift parameter q to tune contributions of net sources and net sinks in the network. In this work, major properties and differences in the methods are pointed out, and it is shown how the MP and EBE algorithms can be applied to generic meshed AC-DC electricity grids: by introducing a pseudo-impedance ω ¯ , which reflects the operational state of controllable elements and allows one to extend the PTDF matrix under the assumption of knowing the current flow in the system. Basic properties from graph theory are used to solve for the pseudo-impedance in dependence of the position within the network. This directly enables, e.g., HVDC lines to be considered in the MP and EBE algorithms. The extended methods are applied to a low-carbon European network model (PyPSA-EUR) with a spatial resolution of 181 nodes and an 18% transmission expansion compared to today’s total transmission capacity volume. The allocations of MP and EBE show that countries with high wind potentials profit most from the transmission grid expansion. Based on the average usage of transmission system expansion, a method of distributing operational and capital expenditures is proposed. In addition, it is shown how injections from renewable resources strongly drive country-to-country allocations and thus cross-border electricity flows.

Suggested Citation

  • Fabian Hofmann & Markus Schlott & Alexander Kies & Horst Stöcker, 2020. "Flow Allocation in Meshed AC-DC Electricity Grids," Energies, MDPI, vol. 13(5), pages 1-15, March.
    • Handle: RePEc:gam:jeners:v:13:y:2020:i:5:p:1233-:d:329508
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1996-1073/13/5/1233/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/1996-1073/13/5/1233/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Mirko Schäfer & Bo Tranberg & Sabrina Hempel & Stefan Schramm & Martin Greiner, 2017. "Decompositions of injection patterns for nodal flow allocation in renewable electricity networks," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 90(8), pages 1-11, August.
    2. Bo Tranberg & Olivier Corradi & Bruno Lajoie & Thomas Gibon & Iain Staffell & Gorm Bruun Andresen, 2018. "Real-Time Carbon Accounting Method for the European Electricity Markets," Papers 1812.06679, arXiv.org, revised May 2019.
    3. Banez-Chicharro, Fernando & Olmos, Luis & Ramos, Andres & Latorre, Jesus M., 2017. "Beneficiaries of transmission expansion projects of an expansion plan: An Aumann-Shapley approach," Applied Energy, Elsevier, vol. 195(C), pages 382-401.
    4. Brown, T. & Schlachtberger, D. & Kies, A. & Schramm, S. & Greiner, M., 2018. "Synergies of sector coupling and transmission reinforcement in a cost-optimised, highly renewable European energy system," Energy, Elsevier, vol. 160(C), pages 720-739.
    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. Wenxiao Chu & Francesco Calise & Neven Duić & Poul Alberg Østergaard & Maria Vicidomini & Qiuwang Wang, 2020. "Recent Advances in Technology, Strategy and Application of Sustainable Energy Systems," Energies, MDPI, vol. 13(19), pages 1-29, October.
    2. Markus Schlott & Omar El Sayed & Mariia Bilousova & Fabian Hofmann & Alexander Kies & Horst Stocker, 2021. "Carbon Leakage in a European Power System with Inhomogeneous Carbon Prices," Papers 2105.05669, arXiv.org.
    3. Evgeny Solomin & Shanmuga Priya Selvanathan & Sudhakar Kumarasamy & Anton Kovalyov & Ramyashree Maddappa Srinivasa, 2021. "The Comparison of Solar-Powered Hydrogen Closed-Cycle System Capacities for Selected Locations," Energies, MDPI, vol. 14(9), pages 1-18, May.

    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. Markus Schlott & Omar El Sayed & Mariia Bilousova & Fabian Hofmann & Alexander Kies & Horst Stocker, 2021. "Carbon Leakage in a European Power System with Inhomogeneous Carbon Prices," Papers 2105.05669, arXiv.org.
    2. Kim, Sunwoo & Choi, Yechan & Park, Joungho & Adams, Derrick & Heo, Seongmin & Lee, Jay H., 2024. "Multi-period, multi-timescale stochastic optimization model for simultaneous capacity investment and energy management decisions for hybrid Micro-Grids with green hydrogen production under uncertainty," Renewable and Sustainable Energy Reviews, Elsevier, vol. 190(PA).
    3. Shirizadeh, Behrang & Quirion, Philippe, 2022. "The importance of renewable gas in achieving carbon-neutrality: Insights from an energy system optimization model," Energy, Elsevier, vol. 255(C).
    4. Fridgen, Gilbert & Keller, Robert & Körner, Marc-Fabian & Schöpf, Michael, 2020. "A holistic view on sector coupling," Energy Policy, Elsevier, vol. 147(C).
    5. Merrick, James H. & Bistline, John E.T. & Blanford, Geoffrey J., 2024. "On representation of energy storage in electricity planning models," Energy Economics, Elsevier, vol. 136(C).
    6. Arjuna Nebel & Christine Krüger & Tomke Janßen & Mathieu Saurat & Sebastian Kiefer & Karin Arnold, 2020. "Comparison of the Effects of Industrial Demand Side Management and Other Flexibilities on the Performance of the Energy System," Energies, MDPI, vol. 13(17), pages 1-20, August.
    7. Els van der Roest & Stijn Beernink & Niels Hartog & Jan Peter van der Hoek & Martin Bloemendal, 2021. "Towards Sustainable Heat Supply with Decentralized Multi-Energy Systems by Integration of Subsurface Seasonal Heat Storage," Energies, MDPI, vol. 14(23), pages 1-31, November.
    8. Frischmuth, Felix & Härtel, Philipp, 2022. "Hydrogen sourcing strategies and cross-sectoral flexibility trade-offs in net-neutral energy scenarios for Europe," Energy, Elsevier, vol. 238(PB).
    9. Will, Christian & Zimmermann, Florian & Ensslen, Axel & Fraunholz, Christoph & Jochem, Patrick & Keles, Dogan, 2024. "Can electric vehicle charging be carbon neutral? Uniting smart charging and renewables," Applied Energy, Elsevier, vol. 371(C).
    10. Adeline Gu'eret & Wolf-Peter Schill & Carlos Gaete-Morales, 2024. "Impacts of electric carsharing on a power sector with variable renewables," Papers 2402.19380, arXiv.org, revised Oct 2024.
    11. Mariia Kozlova & Alena Lohrmann, 2021. "Steering Renewable Energy Investments in Favor of Energy System Reliability: A Call for a Hybrid Model," Sustainability, MDPI, vol. 13(24), pages 1-18, December.
    12. Bokde, Neeraj Dhanraj & Tranberg, Bo & Andresen, Gorm Bruun, 2021. "Short-term CO2 emissions forecasting based on decomposition approaches and its impact on electricity market scheduling," Applied Energy, Elsevier, vol. 281(C).
    13. Els van der Roest & Theo Fens & Martin Bloemendal & Stijn Beernink & Jan Peter van der Hoek & Ad J. M. van Wijk, 2021. "The Impact of System Integration on System Costs of a Neighborhood Energy and Water System," Energies, MDPI, vol. 14(9), pages 1-33, May.
    14. Ramachandran Kannan & Evangelos Panos & Stefan Hirschberg & Tom Kober, 2022. "A net‐zero Swiss energy system by 2050: Technological and policy options for the transition of the transportation sector," Futures & Foresight Science, John Wiley & Sons, vol. 4(3-4), September.
    15. Gallo Cassarino, Tiziano & Barrett, Mark, 2022. "Meeting UK heat demands in zero emission renewable energy systems using storage and interconnectors," Applied Energy, Elsevier, vol. 306(PB).
    16. Zech, Matthias & von Bremen, Lueder, 2024. "End-to-end learning of representative PV capacity factors from aggregated PV feed-ins," Applied Energy, Elsevier, vol. 361(C).
    17. Bergaentzle, Claire & Gunkel, Philipp Andreas, 2022. "Cross-sector flexibility, storage investment and the integration of renewables: Capturing the impacts of grid tariffs," Energy Policy, Elsevier, vol. 164(C).
    18. Child, Michael & Kemfert, Claudia & Bogdanov, Dmitrii & Breyer, Christian, 2019. "Flexible electricity generation, grid exchange and storage for the transition to a 100% renewable energy system in Europe," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 139, pages 80-101.
    19. Gyanwali, Khem & Komiyama, Ryoichi & Fujii, Yasumasa, 2020. "Representing hydropower in the dynamic power sector model and assessing clean energy deployment in the power generation mix of Nepal," Energy, Elsevier, vol. 202(C).
    20. Wolf, Isabel & Holzapfel, Peter K.R. & Meschede, Henning & Finkbeiner, Matthias, 2023. "On the potential of temporally resolved GHG emission factors for load shifting: A case study on electrified steam generation," Applied Energy, Elsevier, vol. 348(C).

    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:gam:jeners:v:13:y:2020:i:5:p:1233-:d:329508. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    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.