Minimal Input Cardinality Disturbance Decoupling of Coupled Oscillators via Output Feedback with Application to Power Networks
For power grid operators, this provides a method to isolate nodes from disturbances using minimal battery placement, but the approach is incremental as it extends existing disturbance decoupling theory to a specific class of systems.
This paper identifies the minimal set of control inputs and an output feedback law to achieve complete disturbance decoupling in coupled oscillator networks, applied to power grids. Simulations on the IEEE 39-bus system show the method ensures disturbance rejection with minimal actuators while preserving stability.
In this paper, we identify the smallest set of control input nodes and an associated output feedback law that achieves complete disturbance decoupling for a class of coupled oscillator networks. The focus is specifically on systems linearized around a stable phase-locked synchronized state. The proposed theoretical framework is applied to the linearized swing dynamics of power grids operating near synchronization. In this context, the disturbance decoupling problem corresponds to isolating subsets of nodes from exogenous disturbances by means of batteries that can both add or withdraw active power. Numerical simulations carried out on the IEEE New England 39-bus system show that the proposed methodology not only yields a minimal actuator placement ensuring effective disturbance rejection, but also preserves the internal stability of the closed-loop system.