Design and Stability of Optimal Frequency Control in Power Networks: A Passivity-based Approach

Koji Tsumura, Stefanos Baros, Kunihisa Okano, Anuradha M. Annaswamy

Research output: Chapter in Book/Report/Conference proceedingConference contribution

10 Citations (Scopus)


Renewable energy generators give rise to large and frequent supply-demand power imbalances in modern power systems. In this volatile environment, secondary frequency control (SFC) is becoming a critical functionality of real-time operations and should be now carried out with higher economic efficiency. Motivated by that, in this paper we design an optimal frequency control (OFC) architecture that can be adopted in lieu of the current Automatic Generation Control (AGC) scheme enabling generators and demand response (DR) units to jointly carry out optimal frequency regulation with minimum generation cost and user disutility. The OFC algorithm can improve the economic efficiency of the secondary control layer by allowing the secondary control set-points to converge online to their optimal values. Interestingly, we show that the overall system composed of the physical network and OFC algorithm dynamics is passive. By leveraging this passivity property we establish global asymptotic stability of the equilibrium of the overall system. Our passivity-based methodology is scalable and computationally efficient and can be used to establish guarantees for the performance of a power network that adopts the proposed OFC algorithm particularly attractive for large- scale applications.

Original languageEnglish
Title of host publication2018 European Control Conference, ECC 2018
PublisherInstitute of Electrical and Electronics Engineers Inc.
Number of pages6
ISBN (Electronic)9783952426982
Publication statusPublished - Nov 27 2018
Event16th European Control Conference, ECC 2018 - Limassol, Cyprus
Duration: Jun 12 2018Jun 15 2018

Publication series

Name2018 European Control Conference, ECC 2018


Other16th European Control Conference, ECC 2018

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Control and Optimization


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