Online Feedback Optimization for Transmission Grid Operation

Ortmann, Lukas; Maeght, Jean; Panciatici, Patrick; Dörfler, Florian; Bolognani, Silverio

doi:10.48550/arxiv.2212.07795

Cited by 4 publications

(13 citation statements)

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“…A saddle points of L can be determined by the primal-dual iteration Fig. 2: Schematic of the transmission grid in the area of Blocaux, France (31 buses, 58 branches), which constituted the benchmark for OFO controllers in [20]. The dashed lines represent connections to neighboring parts of the grid.…”

Section: Single-area Transmission Grid Controlmentioning

confidence: 99%

“…We stress that none of these iterations require to evaluate the plant model y = h(u; w) numerically, as they rely on directed measurements of y, which dramatically increase the robustness of these approaches to model uncertainty, as observed both in numerical simulations [20] and in realworld experiments [16], [18]. Some formal guarantees of such robustness have been derived, based on different models of the uncertainty in [35], [36].…”

Section: Single-area Transmission Grid Controlmentioning

confidence: 99%

“…We quickly review the results in [20], where the OFO strategy was tested via numerical experiements on a benchmark model of the theal French subtransmission grid. The entire grid consists of 7019 buses, 9657 branches, and 1465 generators.…”

Section: A Numerical Experiments: Subtransmission Grid Controlmentioning

confidence: 99%

“…The application to congestion control in the transmission grid has been explored less. For example, [19] focuses on the voltage control problem, while [20] considers both voltage and power flow control, and introduces a novel subtransmission benchmark model that represents a real French grid. We will review the main findings of this last work in the numerical experiments of Section II.…”

Section: Introductionmentioning

confidence: 99%

“…In the first part, we show how to design various feedback controllers for a single area of the transmission grid using the OFO framework. Further, we present realistic simulations based on the newly proposed benchmark in [20] which demonstrate their effectiveness in regulating the grid to optimal and safe operating points. In the second part, we investigate the behaviour of a multiarea transmission grid, where the sub-areas independently manage congestion using OFO while remaining dynamically connected through the transmission grid.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Sampled-Data Online Feedback Equilibrium Seeking: Stability and Tracking

Belgioioso

Liao‐McPherson

Badyn

et al. 2021

2021 60th IEEE Conference on Decision and Control (CDC)

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This paper proposes a general framework for constructing feedback controllers that drive complex dynamical systems to "efficient" steady-state (or slowly varying) operating points. Efficiency is encoded using generalized equations which can model a broad spectrum of useful objectives, such as optimality or equilibria (e.g. Nash, Wardrop, etc.) in noncooperative games. The core idea of the proposed approach is to directly implement iterative solution (or equilibrium seeking) algorithms in closed loop with physical systems. Sufficient conditions for closed-loop stability and robustness are derived; these also serve as the first closed-loop stability results for sampleddata feedback-based optimization. Numerical simulations of smart building automation and game-theoretic robotic swarm coordination support the theoretical results.

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Section: Single-area Transmission Grid Controlmentioning

confidence: 99%

Section: Single-area Transmission Grid Controlmentioning

confidence: 99%

Section: A Numerical Experiments: Subtransmission Grid Controlmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Sampled-Data Online Feedback Equilibrium Seeking: Stability and Tracking

Belgioioso

Liao‐McPherson

Badyn

et al. 2021

2021 60th IEEE Conference on Decision and Control (CDC)

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Tutorial on Congestion Control in Multi-Area Transmission Grids via Online Feedback Equilibrium Seeking

Belgioioso,

Bolognani,

Pejrani

et al. 2023

2023 62nd IEEE Conference on Decision and Control (CDC)

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Online feedback optimization (OFO) is an emerging control methodology for real-time optimal steady-state control of complex dynamical systems. This tutorial focuses on the application of OFO for the autonomous operation of large-scale transmission grids, with a specific goal of minimizing renewable generation curtailment and losses while satisfying voltage and current limits. When this control methodology is applied to multi-area transmission grids, where each area independently manages its congestion while being dynamically interconnected with the rest of the grid, a non-cooperative game arises. In this context, OFO must be interpreted as an online feedback equilibrium seeking (FES) scheme. Our analysis incorporates technical tools from game theory and monotone operator theory to evaluate the stability and performance of multi-area grid operation. Through numerical simulations, we illustrate the key challenge of this non-cooperative setting: on the one hand, independent multi-area decisions are suboptimal compared to a centralized control scheme; on the other hand, some areas are heavily penalized by the centralized decision, which may discourage participation in the coordination mechanism.

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