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Dissipation of Oscillation Energy and Distribution of Damping Power in a\n Multimachine Power System: A Small-signal Analysis

2021/05/17 by Kaustav Chatterjee, Chatterjee, Kaustav, Nilanjan Ray Chaudhuri +1
Engineering · #FOS: Electrical engineering #HVDC Systems and Fault Protection #Microgrid Control and Optimization #Power System Optimization and Stability #Power Systems Fault Detection #Systems and Control (eess.SY) #Vibration and Dynamic Analysis #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.2105.07618

openalex publication_date 2021/05/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper revisits the concept of damping torque in a multimachine power\nsystem and its relation to the dissipation of oscillation energy in synchronous\nmachine windings. As a multimachine extension of an existing result on a\nsingle-machine-infinite-bus (SMIB) system, we show that the total damping power\nfor a mode stemming from the interaction of electromagnetic torques and rotor\nspeeds is equal to the sum of average power dissipations in the generator\nwindings corresponding to the modal oscillation. Further, counter-intuitive to\nthe SMIB result, we demonstrate that, although the equality holds on an\naggregate, such is not the case for individual machines in an interconnected\nsystem. To that end, distribution factors are derived for expressing the\naverage damping power of each generator as a linear combination of average\npowers of modal energy dissipation in the windings of all machines in the\nsystem. These factors represent the distribution of damping power in a\nmultimachine system. The results are validated on IEEE 4-machine and 16-machine\ntest systems.\n

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