On the Equality of Modal Damping Power and the Average Rate of Transient Energy Dissipation in a Multimachine Power System

This letter establishes a relationship between the concepts of damping torque and the dissipation of transient energy in a multimachine power system with constant power loads. To that end, we present a mathematical proof showing that, for a poorly-damped mode, the total damping power stemming from the interaction of electromagnetic torques and rotor speeds is approximately equal to the average rate of transient energy dissipation in the system corresponding to the modal oscillation. This is verified with numerical studies on the IEEE 2-area 4-machine and 5-area 16-machine test systems.

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Work Title On the Equality of Modal Damping Power and the Average Rate of Transient Energy Dissipation in a Multimachine Power System
Access
Open Access
Creators
  1. Kaustav Chatterjee
  2. Nilanjan Ray Chaudhuri
Keyword
  1. Lyapunov methods
  2. Power systems
  3. Stability of linear systems
  4. Smart grid
License In Copyright (Rights Reserved)
Work Type Article
Publisher
  1. IEEE Control Systems Letters
Publication Date October 19, 2021
Publisher Identifier (DOI)
  1. https://doi.org/10.1109/LCSYS.2021.3121008
Deposited July 04, 2023

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Version 1
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  • Created
  • Added LCSYS3121008_NSFPAR.pdf
  • Added Creator Kaustav Chatterjee
  • Added Creator Nilanjan Ray Chaudhuri
  • Published
  • Updated Keyword, Publication Date Show Changes
    Keyword
    • Lyapunov methods, Power systems, Stability of linear systems, Smart grid
    Publication Date
    • 2022-01-01
    • 2021-10-19
  • Updated