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Active distribution networks facilitating bidirectional power exchange with renewable energy resources are susceptible to cyberattacks due to integration of a diverse array of cyber components. This study introduces a grid-level defense…

Systems and Control · Electrical Eng. & Systems 2025-11-18 Hampei Sasahara , Tatsuya Yamada , Jun-ichi Imura , Henrik Sandberg

Resilient operation of interdependent infrastructures against compound hazard events is essential for maintaining societal well-being. To address consequence assessment challenges in this problem space, we propose a novel tri-level…

Systems and Control · Electrical Eng. & Systems 2023-10-17 Matthew R. Oster , Ilya Amburg , Samrat Chatterjee , Daniel A. Eisenberg , Dennis G. Thomas , Feng Pan , Auroop R. Ganguly

Bilevel optimization problems embed the optimality of a subproblem as a constraint of another optimization problem. We introduce the concept of near-optimality robustness for bilevel optimization, protecting the upper-level solution…

Optimization and Control · Mathematics 2024-07-15 Mathieu Besançon , Miguel F. Anjos , Luce Brotcorne

This paper presents a novel robust trajectory optimization method for constrained nonlinear dynamical systems subject to unknown bounded disturbances. In particular, we seek optimal control policies that remain robustly feasible with…

Systems and Control · Electrical Eng. & Systems 2025-04-08 Arshiya Taj Abdul , Augustinos D. Saravanos , Evangelos A. Theodorou

With the integration of Renewable Energy Sources (RESs), the power network must be robust to handle the system's uncertain scenarios. DC Transmission Expansion Planning (TEP) plans are generally not feasible for the AC network. A first…

Systems and Control · Electrical Eng. & Systems 2021-11-11 P. Naga Yasasvi , Abheejeet Mohapatra , Suresh Chandra Srivastava

Future greenhouse gas neutral energy systems will be dominated by renewable energy technologies providing variable supply subject to uncertain weather conditions. For this setting, we propose an algorithm for capacity expansion planning: We…

Optimization and Control · Mathematics 2026-03-02 Sebastian Kebrich , Felix Engelhardt , David Franzmann , Christina Büsing , Jochen Linßen , Heidi Heinrichs

In the electrical grid, the distribution system is themost vulnerable to severe weather events. Well-placed and coordinatedupgrades, such as the combination of microgrids, systemhardening and additional line redundancy, can greatly reduce…

Computational Engineering, Finance, and Science · Computer Science 2017-05-24 Arthur Barnes , Harsha Nagarajan , Emre Yamangil , Russell Bent , Scott Backhaus

Bilevel optimization is a powerful tool for modeling hierarchical decision making processes. However, the resulting problems are challenging to solve - both in theory and practice. Fortunately, there have been significant algorithmic…

Optimization and Control · Mathematics 2023-01-25 Yasmine Beck , Ivana Ljubić , Martin Schmidt

Seasonal climate variations affect electricity demand, which in turn affects month-to-month electricity planning and operations. Electricity system planning at the monthly timescale can be improved by adapting climate forecasts to estimate…

Systems and Control · Electrical Eng. & Systems 2019-11-12 A. R. de Queiroz , D. Mulcahy , A. Sankarasubramanian , J. P. Deane , G. Mahinthakumar , N. Lu , J. F. DeCarolis

The integration of renewable energy resources (RES) in the power grid can reduce carbon intensity, but also presents certain challenges. The uncertainty and intermittent nature of RES emphasize the need for flexibility in power systems.…

Systems and Control · Electrical Eng. & Systems 2025-04-18 Shijie Pan , Gerrit Rolofs , Luca Pontecorvi , Charalambos Konstantinou

Both bilevel and robust optimization are established fields of mathematical optimization and operations research. However, only until recently, the similarities in their mathematical structure has neither been studied theoretically nor…

Optimization and Control · Mathematics 2026-02-20 Henri Lefebvre , Martin Schmidt , Simon Stevens , Johannes Thürauf

The rapid integration of Renewable Energy Sources (RESs) strengthens the need for a power network that can robustly handle the system's uncertain scenarios. Thus, this paper proposes the first nonlinear novel dual based bi-level approach…

Systems and Control · Electrical Eng. & Systems 2021-11-11 P. Naga Yasasvi , Abheejeet Mohapatra , Suresh Chandra Srivastava

Energy systems resilience is becoming increasingly important as the frequency of major grid outages increases. In this work, we present a methodology to optimize a behind-the-meter distributed energy resource system to sustain a site's…

Systems and Control · Electrical Eng. & Systems 2021-06-29 Sakshi Mishra , Kate Anderson

This paper applies Benders decomposition to two-stage stochastic problems for energy planning under climate uncertainty, a key problem for the design of renewable energy systems. To improve performance, we adapt various refinements for…

Optimization and Control · Mathematics 2024-01-29 Leonard Göke , Felix Schmidt , Mario Kendziorski

Over the past decade, extreme weather events have significantly increased worldwide, leading to widespread power outages and blackouts. As these threats continue to challenge power distribution systems, the importance of mitigating the…

Systems and Control · Electrical Eng. & Systems 2023-08-16 Shuva Paul , Abodh Poudyal , Shiva Poudel , Anamika Dubey , Zhaoyu Wang

In the electric system, extreme weather events can cause trips or physical damage to transmission lines, leading to large-scale load shedding. To mitigate power shedding, we propose a framework that pre-positions the commitment of…

Optimization and Control · Mathematics 2026-04-07 Yongzheng Dai , Antonio J. Conejo , Feng Qiu

In response to the increasing complexity of electricity markets due to low-carbon requirements and the integration of sustainable energy sources, this paper proposes a dynamic quantum computing enhanced bilevel optimization model for…

Systems and Control · Electrical Eng. & Systems 2024-10-29 Shuyang Zhu , Ziqing Zhu

This paper presents a computational approach to evaluate the resilience of electricity Distribution Networks (DNs) to cyber-physical failures. In our model, we consider an attacker who targets multiple DN components to maximize the loss of…

Optimization and Control · Mathematics 2020-12-02 Devendra Shelar , Saurabh Amin , Ian Hiskens

Electric utilities must make massive capital investments in the coming years to respond to explosive growth in demand, aging assets and rising threats from extreme weather. Utilities today already have rigorous frameworks for capital…

Artificial Intelligence · Computer Science 2026-04-06 Emma Benjaminson

Traditional approaches to outage-constrained beamforming optimization rely on statistical assumptions about channel distributions and estimation errors. However, the resulting outage probability guarantees are only valid when these…

Signal Processing · Electrical Eng. & Systems 2025-05-27 Xin Su , Qiushuo Hou , Ruisi He , Osvaldo Simeone