Multi-Level Power-Imbalance Allocation Control for Secondary Frequency Control of Power Systems

Kaihua Xi, Hai Xiang Lin, Chen Shen, Jan van Schuppen

Research output: Contribution to journalArticleScientificpeer-review

3 Citations (Scopus)
24 Downloads (Pure)


A consensus-control-based multi-level control law named Multi-Level Power-Imbalance Allocation Control (MLPIAC) is presented for a large-scale power system partitioned into two or more groups. Centralized control is implemented in each group while distributed control is implemented at the coordination level of the groups. Besides restoring nominal frequency with a minimal control cost, MLPIAC can improve the transient performance of the system through an accelerated convergence of the control inputs without oscillations. At the coordination level of the control groups, because the number of the groups is smaller than that of nodes, MLPIAC is more effective to obtain the minimized control cost than the purely distributed control law. At the level of the control in each group, because the number of nodes is much smaller than the total number of nodes in the whole network, the overheads in the communications and the computations are reduced compared to the pure centralized control. The asymptotic stability of MLPIAC is proven using the Lyapunov method and the performance is evaluated through simulations.

Original languageEnglish
Article number8792146
Pages (from-to)2913-2928
Number of pages16
JournalIEEE Transactions on Automatic Control
Issue number7
Publication statusPublished - 2020


  • Economic Power Dispatch
  • Centralized Control
  • Distributed Power-Imbalance Allocation Control
  • Multi-Level control
  • Transient performance


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