Parameter Tuning and Optimal Design of Decentralized Structured Controllers for Power Oscillation Damping in Electrical Networks

Wide-area oscillation damping in low-inertia grids under time-varying communication delays

“…Traditionally, these underdamped oscillations have been addressed by deploying decentralized controllers called Power System Stabilizers (PSSs) at units participating in the power swing modes. Various control strategies for tuning of PSS parameters have been proposed in the literature, such as pole placement [2], root locus [3], H 2 [4] and H ∞ [5] norm. In particular, PSSs can improve oscillation damping by adjusting the reference signal of the exciter, thus counteracting a high-gain fast response of Automatic Voltage Regulators (AVRs).…”

“…Compared to the existing work on WAC where full state feedback controllers were used [8], [9], [28], we propose a static output feedback controller which eases its practical implementation. Moreover, the proposed control synthesis ensures damping of low-frequency modes by minimizing the upper-bound of the L 2 -gain, which is equivalent to the H ∞ norm of a linear time-invariant system [16], [18] and has been proven to be effective in improving the damping of inter-area modes [5], [9], [19], [29], [30]. For this purpose and, as in any practical WAMC there will inevitably be a minimum nonzero communication delay, we model the delays as interval timevarying delays, i.e., assuming non-zero constant upper and lower bounds [16].…”

“…Consider the system (4). Given h 1 ∈ R ≥0 , h 2 ∈ R ≥0 with h 1 ≤ τ (t) ≤ h 2 , design a static output feedback controller (5), such that the origin is a uniformly asymptotically stable equilibrium point of the resulting closedloop system (6) and its L 2 gain is minimized.…”

Scalable and Data Privacy Conserving Controller Tuning for Large-Scale Power Networks

“…Many works are based on the Bounded-real Lemma, e.g. [13], [24], [25], [26], [27], [28], [29], [30], [31]. Alternative approaches include non-smooth optimization [32], [33] and bisectioning [34].…”

“…[38], [29], the synthesis procedure is typically centralized. For example, our previous work considered centralized structured controller synthesis [31], [37], [39], [40], whereas here we consider a hierarchical approach. To the authors' knowledge, there are currently no results that consider distributed or hierarchical structured H ∞ synthesis.…”