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 - 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 -