The impact of potential-based physics models on pricing in energy networks

  • Lars Schewe
  • Martin SchmidtEmail author
Original Article


Pricing of access to energy networks is an important issue in liberalized energy sectors because of the natural monopoly character of the underlying transport infrastructures. We introduce a general pricing framework for potential-based energy flows in arbitrarily structured transport networks. In different specifications of our general pricing model we discuss first- and second-best pricing results and compare different pricing outcomes of potential-free and potential-based energy flow models. Our results show that considering nonlinear laws of physics leads to significantly different pricing results on networks and that these differences can only be seen in sufficiently complex, e.g., cyclic, networks as they can be found in real-world situations.


Energy networks Pricing Gas networks Electricity networks 

JEL Classification

C61 L94 L95 



The authors thank the Deutsche Forschungsgemeinschaft for their support within projects A05, B07, and B08 in the Sonderforschungsbereich/Transregio 154 “Mathematical Modelling, Simulation and Optimization using the Example of Gas Networks”. This research has been performed as part of the Energie Campus Nürnberg and is supported by funding of the Bavarian State Government. Finally, we thank Veronika Grimm and Gregor Zöttl for numerous discussions on the topic of this paper.


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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Discrete OptimizationFriedrich-Alexander-Universität Erlangen-NürnbergErlangenGermany
  2. 2.Energie Campus NürnbergNurembergGermany
  3. 3.Department of MathematicsTrier UniversityTrierGermany

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