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This paper describes a novel approach to analyze and control systems withmulti-mode oscillation problems. Traditional single dominant mode analysisfails to provide effective control actions when several modes have similar lowdamping ratios. This work addresses this problem by considering all modes inthe formulation of the system kinetic oscillation energy. The integral ofenergy over time defines the total action as a measure of dynamic performance,and its sensitivity allows comparing the performance of differentactuators/locations in the system to select the most effective one to damp theoscillation energy. Time domain simulations in the IEEE 9-bus system and IEEE39-bus system verify the findings obtained by the oscillation energy basedanalysis. Applications of the proposed method in control and system planningare discussed.

Oscillation energy based sensitivity analysis and control for multi-mode oscillation systems