Distributed Optimization for Integrated Energy Systems with Secure Multi-Party Computation

Fangyuan Si, Ning Zhang, Yi Wang, Peng Yong Kong, Wenjie Qiao

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


With increasing distributed energy resource integration, future power and energy systems will be more decentralized using advanced Internet of Things (IoT) technologies. Integrated energy systems (IES) boost the whole energy efficiency by coordinating multi-regional energy resources and networks. However, distributed coordination of the IES requires different subregions or energy hubs (EHs) to share their sensitive information (e.g., energy demands and operation status) explicitly, which poses serious privacy leakage. To this end, secure multi-party computation (SMPC) is innovatively introduced to the distributed optimization of the IES in this paper. First, standardized modeling of multiple interconnected EHs with linearized network models is formulated to analyze the IES’s inherent energy and information interaction comprehensively. Then, a privacy-preserving distributed optimal energy flow algorithm is proposed by combining the Paillier Cryptosystem mechanism with the alternating direction multiplier method (ADMM). Theoretical analysis proves the proposed method is convergent without sharing sensitive information in plaintext. Numerical experiments on a three-subregions IES validate that the proposed method has better convergence performance than the differential privacy-based method. Results show that the maximum relative error of the distributed optimal solutions with various step sizes is no more than 0.072% compared with the centralized method.

Original languageBritish English
Pages (from-to)1
Number of pages1
JournalIEEE Internet of Things Journal
StateAccepted/In press - 2022


  • Alternating direction method of multipliers
  • Energy hubs
  • Integrated energy systems
  • Internet of Things
  • Optimization
  • Pipelines
  • Privacy
  • Privacy-preserving
  • Reactive power
  • Resistance heating
  • Water resources


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