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Designing AC Power Grids Using Integer Linear Programming

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Network Optimization (INOC 2011)

Part of the book series: Lecture Notes in Computer Science ((LNCCN,volume 6701))

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Abstract

Recent developments have drawn focus towards the efficient calculation of flows in AC power grids, which are difficult to solve systems of nonlinear equations. The common linearization approach leads to the well known and often used DC formulation, which has some major drawbacks. To overcome these drawbacks we revisit an alternative linearization of the AC power flow. Work on this model has already been done in the 1990s but was intractable at that time. In view of recent developments in the field of integer programming, we show that this model is computationally tractable.

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References

  1. Andersson, G.: Modelling and Analysis of Electric Power Systems, ETH Zürich (September 2008), http://www.eeh.ee.ethz.ch/uploads/tx_ethstudies/modelling_hs08_script_02.pdf

  2. Bautista, G., Anjos, M.F., Vannelli, A.: Formulation of Oligopolistic Competition in AC Power Networks: An NLP Approach. IEEE Transactions on Power Systems 22(1) (2007)

    Google Scholar 

  3. Bienstock, D., Mattia, S.: Using mixed-integer programming to solve power grid blackout problems. Discrete Optimization 4(1), 115–141 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  4. Bienstock, D., Verma, A.: The N-k Problem in Power Grids: New Models, Formulations and Numerical Experiments. SIAM J. on Optimization 20(5), 2352–2380 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  5. Braun, A.: Anlagen- und Strukturoptimierung von 110-kV-Netzen. Ph.D. thesis, RWTH Aachen University (2001)

    Google Scholar 

  6. Marshall, A., Boffey, T., Green, J., Hague, H.: Optimal design of electricity distribution networks. IEE Proceedings on Generation, Transmission and Distribution, C 138, 69–77 (1991)

    Article  Google Scholar 

  7. Maurer, H.C.G.: Integrierte Grundsatz- und Ausbauplanung für Hochspannungsnetze. Ph.D. thesis, RWTH Aachen University (2004)

    Google Scholar 

  8. Moser, A.: Langfristig optimale Struktur und Betriebsmittelwahl für 110-kV-Überlandnetze. Ph.D. thesis, RWTH Aachen University (1995)

    Google Scholar 

  9. Purchala, K., Meeus, L., Dommelen, D.V., Belmans, R.: Usefulness of DC Power Flow for Active Power Flow Analysis. In: Power Engineering Society General Meeting, 2005, vol. 1, pp. 454–459. IEEE, Los Alamitos (2005)

    Google Scholar 

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© 2011 Springer-Verlag Berlin Heidelberg

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Koster, A.M.C.A., Lemkens, S. (2011). Designing AC Power Grids Using Integer Linear Programming. In: Pahl, J., Reiners, T., Voß, S. (eds) Network Optimization. INOC 2011. Lecture Notes in Computer Science, vol 6701. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21527-8_52

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  • DOI: https://doi.org/10.1007/978-3-642-21527-8_52

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-21526-1

  • Online ISBN: 978-3-642-21527-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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