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

Kaustav Chatterjee; Nilanjan Ray Chaudhuri

doi:10.1109/LCSYS.2021.3121008

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

Kaustav Chatterjee
, Nilanjan Ray Chaudhuri

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	1531-1536
Number of pages	6
Journal	IEEE Control Systems Letters
Volume	6
DOIs	https://doi.org/10.1109/LCSYS.2021.3121008
State	Published - 2022

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Control and Optimization

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10.1109/LCSYS.2021.3121008

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

abstract = "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.",

author = "Kaustav Chatterjee and Chaudhuri, \{Nilanjan Ray\}",

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AU - Chatterjee, Kaustav

AU - Chaudhuri, Nilanjan Ray

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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DO - 10.1109/LCSYS.2021.3121008

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SN - 2475-1456

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JO - IEEE Control Systems Letters

JF - IEEE Control Systems Letters

ER -

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

Abstract

All Science Journal Classification (ASJC) codes

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