Network Pricing for Multi-Energy Systems under Long-term Load Growth Uncertainty

Shuang Cheng, Chenghong Gu, Xinhe Yang, Shuangqi Li, Lurui Fang, Furong Li

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9 Citations (SciVal)
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The long-term uncertainty of multi-energy demand poses significant challenges to the coordinated pricing of multiple energy systems (MES). This paper proposes an integrated network pricing methodology for MES based on the long-run-incremental cost (LRIC) to recover network investment costs, affecting the siting and sizing of future distributed energy resources (DERs) and incentivizing the efficient utilization of MES. The stochasticity of multi-energy demand growth is captured by the Geometric Brownian Motion (GBM)-based model. Then, it is integrated with a system operation model to minimize operation costs, considering low-carbon targets and flexible demand. Thereafter, the kernel density estimation (KDE) method is used to perform the probabilistic optimal energy flow (POEF) to obtain energy flows under uncertain load conditions. Based on the probability density functions (PDFs) of energy flows, an LRIC-based network pricing model is designed, where Tail Value at Risk (TVaR) is used to model the risks of loading levels of branches and pipelines. The performance of the proposed methodology is validated on a typical MES. The proposed pricing method can stimulate cost-effective planning and utilization of MES infrastructures under long-term uncertainty, thus helping reduce low-carbon transition costs.
Original languageEnglish
Article number9734759
Pages (from-to)2715 - 2729
JournalIEEE Transactions on Smart Grid
Issue number4
Early online date15 Mar 2022
Publication statusPublished - 31 Jul 2022

Bibliographical note

Publisher Copyright:
© 2022 IEEE.


  • Flexible demand
  • long-run-incremental cost pricing
  • multi-energy system
  • network pricing
  • uncertainty

ASJC Scopus subject areas

  • Computer Science(all)


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