Optimization of Stochastic Lossy Transport Networks and Applications to Power Grids

Alessandro Zocca, Bert Zwart

Research output: Contribution to JournalArticleAcademicpeer-review


Motivated by developments in renewable energy and smart grids, we formulate a stylized mathematical model of a transport network with stochastic load fluctuations. Using an affine control rule, we explore the trade-off between the number of controllable resources in a lossy transport network and the performance gain they yield in terms of expected power losses. Our results are explicit and reveal the interaction between the level of flexibility, the intrinsic load uncertainty, and the network structure.

Original languageEnglish
Pages (from-to)34-59
Number of pages26
JournalStochastic Systems
Issue number1
Early online date29 Jan 2021
Publication statusPublished - Mar 2021

Bibliographical note

Funding Information:
This research was supported by the Netherlands Organisation for Scientific Research (NWO) Vici [Grant 639.033.413] and NWO Rubicon [Grant 680.50.1529].

Publisher Copyright:
© 2021 The Author(s).


  • correlated fluctuations
  • lossy transport
  • network robustness
  • optimization
  • power systems
  • renewable energy sources
  • stochastic network
  • total effective resistance


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