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This paper revisits the concept of damping torque in a multimachine powersystem and its relation to the dissipation of oscillation energy in synchronousmachine windings. As a multimachine extension of an existing result on asingle-machine-infinite-bus (SMIB) system, we show that the total damping powerfor a mode stemming from the interaction of electromagnetic torques and rotorspeeds is equal to the sum of average power dissipations in the generatorwindings corresponding to the modal oscillation. Further, counter-intuitive tothe SMIB result, we demonstrate that, although the equality holds on anaggregate, such is not the case for individual machines in an interconnectedsystem. To that end, distribution factors are derived for expressing theaverage damping power of each generator as a linear combination of averagepowers of modal energy dissipation in the windings of all machines in thesystem. These factors represent the distribution of damping power in amultimachine system. The results are validated on IEEE 4-machine and 16-machinetest systems.

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