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Many problems in power systems involve optimizing a certain objective function subject to power flow equations and engineering constraints. A long-standing challenge in solving them is the nonconvexity of their feasible sets. In this paper,…

Optimization and Control · Mathematics 2023-10-03 Ling Zhang , Daniel Tabas , Baosen Zhang

Large-scale power system planning mostly uses linearized, active power only approximations of the power flow equations, ignores many operational constraints, and tests the operational feasibility of the resulting systems only under strongly…

Optimization and Control · Mathematics 2026-04-03 Gereon Recht , Oussama Alaya , Benedikt Jahn , Karl-Kiên Cao , Hendrik Lens

The diode rectifier unit-based high voltage direct current (DRU-HVDC) transmission with grid-forming (GFM) wind turbine is becoming a promising scheme for offshore wind farm(OWF) integration due to its high reliability and low cost. In this…

Optimization and Control · Mathematics 2024-03-19 Zhekai Li , Kun Han , Xu Cai , Renxin Yang , Haotian Yu , Kepeng Xia , Lulu Liu

Deregulated energy markets, demand forecasting, and the continuously increasing share of renewable energy sources call---among others---for a structured consideration of uncertainties in optimal power flow problems. The main challenge is to…

Optimization and Control · Mathematics 2018-08-24 Tillmann Mühlpfordt , Timm Faulwasser , Veit Hagenmeyer

The robust adaptive beamforming (RAB) problem for general-rank signal model with an additional positive semi-definite constraint is considered. Using the principle of the worst-case performance optimization, such RAB problem leads to a…

Information Theory · Computer Science 2015-06-12 Arash Khabbazibasmenj , Sergiy A. Vorobyov

The ever increasing penetration of Renewable Energy Resources (RESs) in power distribution networks has brought, among others, the challenge of maintaining the grid voltages within the secure region. Employing droop voltage regulators on…

Optimization and Control · Mathematics 2022-03-18 H. Sekhavatmanesh , G. Ferrari-Trecate , S. Mastellone

Optimization is widely used to determine the physical and financial exchange of wholesale electricity in organized markets. Guarantees of solution optimality and feasibility rest largely on convexity, which is not in general a…

Optimization and Control · Mathematics 2026-05-22 Sidhant Misra , Marc Vuffray , Anatoly Zlotnik , Aleksandr M. Rudkevich

As power systems become more complex with the continuous integration of intelligent distributed energy resources (DERs), new risks and uncertainties arise. Consequently, to enhance system resiliency, it is essential to account for various…

Systems and Control · Electrical Eng. & Systems 2024-12-30 Md Isfakul Anam , Tuyen Vu , Jianhua Zhang

The Optimal Power Flow (OPF) problem is integral to the functioning of power systems, aiming to optimize generation dispatch while adhering to technical and operational constraints. These constraints are far from straightforward; they…

Machine Learning · Computer Science 2023-10-10 Andrew Rosemberg , Mathieu Tanneau , Bruno Fanzeres , Joaquim Garcia , Pascal Van Hentenryck

With the increasing proportion of renewable energy in the generation side, it becomes more difficult to accurately predict the power generation and adapt to the large deviations between the optimal dispatch scheme and the day-ahead…

Systems and Control · Electrical Eng. & Systems 2023-03-07 Xinyue Wang , Haiwang Zhong , Guanglun Zhang , Guangchun Ruan , Yiliu He , Zekuan Yu

We present a unified method, based on convex optimization, for managing the power produced and consumed by a network of devices over time. We start with the simple setting of optimizing power flows in a static network, and then proceed to…

Optimization and Control · Mathematics 2019-03-18 Nicholas Moehle , Enzo Busseti , Stephen Boyd , Matt Wytock

The planning and operation of renewable energy, especially wind power, depend crucially on accurate, timely, and high-resolution weather information. Coarse-grid global numerical weather forecasts are typically downscaled to meet these…

The roll-out of stochastic renewable energy sources (RES) undermines the efficiency of power system and market operations. This paper proposes an approach to derive electricity prices that internalize RES stochasticity. We leverage a…

Systems and Control · Electrical Eng. & Systems 2020-03-31 Robert Mieth , Jip Kim , Yury Dvorkin

This paper presents a method to handle renewable source and load uncertainties in Dynamic Day-ahead Optimal Power Flow (DA-OPF) using post-optimal analysis of linear programming problem. The method does not require the uncertainty…

Optimization and Control · Mathematics 2018-04-18 Parikshit Pareek , Ashu Verma

Chance constrained optimal power flow (OPF) has been recognized as a promising framework to manage the risk from variable renewable energy (VRE). In presence of VRE uncertainties, this paper discusses a distributionally robust chance…

Optimization and Control · Mathematics 2018-05-01 Chao Duan , Wanliang Fang , Lin Jiang , Li Yao , Jun Liu

This paper proposes a reactive power planning tool for sub-transmission systems to mitigate voltage violations and fluctuations caused by high photovoltaic (PV) penetration and intermittency with a minimum investment cost. The tool…

The increasing renewable penetration introduces significant uncertainty in power system operations. At the same time, the existing transmission grid is often already congested, and urgently needed reinforcements are frequently delayed due…

Systems and Control · Electrical Eng. & Systems 2025-09-18 Giacomo Bastianel , Dirk Van Hertem , Hakan Ergun , Line Roald

This paper outlines an optimization framework for choosing fast and reliable control actions in a transmission grid emergency situation. We consider contractual load shedding and generation re-dispatch as exemplary emergency actions. To…

Optimization and Control · Mathematics 2017-07-25 Sidhant Misra , Line Roald , Marc Vuffray , Michael Chertkov

Increasing integration of renewable generation poses significant challenges to ensure robustness guarantees in real-time energy system decision-making. This work aims to develop a robust optimal transmission switching (OTS) framework that…

Optimization and Control · Mathematics 2022-09-01 Yuqi Zhou , Hao Zhu , Grani A. Hanasusanto

Scenario generation is an effective data-driven method for solving chance-constrained optimization while ensuring desired risk guarantees with a finite number of samples. Crucial challenges in deploying this technique in the real world…

Optimization and Control · Mathematics 2024-01-04 Qian Zhang , Apurv Shukla , Le Xie