Energy Cost Optimization of Globally Distributed Internet Data Centers by Copula-based Multidimensional Correlation Modeling

Mohammad Ali Lasemi, Shahin Alizadeh, Mohsen Assili, Zhenyu Yang*, Payam Teimourzadeh Baboli, Ahmad Arabkoohsar, Amin Raeiszadeh, Michael Brand, Sebastian Lehnhoff

*Corresponding author for this work

Research output: Contribution to journalJournal articleResearchpeer-review

5 Citations (Scopus)
19 Downloads (Pure)


The high operating costs of Internet Data Centers (IDC) are a major challenge for their owners worldwide. Therefore, more attention has recently been paid to the energy and cost management of IDCs. This paper investigates the optimal operational strategy for minimizing the electricity costs of a group of globally distributed IDCs in different locations under various day-ahead electricity markets, and each is equipped with a high-performance energy storage system. For this goal, optimal workload dispatching and optimal energy management of the storage units of all IDCs are simultaneously perused by the proposed problem. The system is modeled regarding power balancing constraints, battery costs, and quality of service (QoS). For more practical results, a penalty function is also considered when QoS constraints are not perfectly met, and the impact of the batteries’ depth of discharge on the cost of energy storage is also modeled. Moreover, the cross-correlations between the traffic of IDCs are also considered by the multidimensional copula function. The proposed energy cost optimization is linearized for increasing the accuracy of convergence. The results show that not only the power consumption pattern of the IDCs is significantly improved, but also the cost of power consumption is reduced by 34%. The results also prove the positive effect of battery discharge on workload dispatch and represent a compromise between battery costs and electricity cost savings.
Original languageEnglish
JournalEnergy Reports
Pages (from-to)631-644
Number of pages14
Publication statusPublished - Dec 2023


  • Correlation modeling
  • Electricity market
  • Energy management
  • Energy storage system
  • Internet data center
  • Quality of service
  • Workload distribution


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