TY - JOUR

T1 - On the Equality of Modal Damping Power and the Average Rate of Transient Energy Dissipation in a Multimachine Power System

AU - Chatterjee, Kaustav

AU - Chaudhuri, Nilanjan Ray

N1 - Funding Information:
This work was supported by NSF Grant under Award CNS 1739206.
Publisher Copyright:
© 2017 IEEE.

PY - 2022

Y1 - 2022

N2 - 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.

AB - 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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U2 - 10.1109/LCSYS.2021.3121008

DO - 10.1109/LCSYS.2021.3121008

M3 - Article

AN - SCOPUS:85118266818

SN - 2475-1456

VL - 6

SP - 1531

EP - 1536

JO - IEEE Control Systems Letters

JF - IEEE Control Systems Letters

ER -