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The increasing integration of renewable energy, particularly offshore wind, introduces significant uncertainty into hybrid AC-HVDC systems due to forecast errors and power fluctuations. Conventional control strategies typically rely on…

Systems and Control · Electrical Eng. & Systems 2025-10-30 Hongjin Du , Rahul Rane , Weijie Xia , Pedro P. Vergara , Aleksandra Lekić

The operation of power systems has become more challenging due to feed-in of volatile renewable energy sources. Chance-constrained optimal power flow (ccOPF) is one possibility to explicitly consider volatility via probabilistic…

Optimization and Control · Mathematics 2018-06-15 Tillmann Mühlpfordt , Veit Hagenmeyer , Timm Faulwasser

Optimal power flow (OPF) is one of the most important optimization problems in the energy industry. In its simplest form, OPF attempts to find the optimal power that the generators within the grid have to produce to satisfy a given demand.…

Systems and Control · Electrical Eng. & Systems 2019-10-23 Damian Owerko , Fernando Gama , Alejandro Ribeiro

This paper presents an end-to-end framework for calibrating wind power forecast models to minimize operational costs in two-stage power markets, where the first stage involves a distributionally robust optimal power flow (DR-OPF) model.…

Systems and Control · Electrical Eng. & Systems 2024-12-17 Zhirui Liang , Qi Li , Anqi Liu , Yury Dvorkin

The incorporation of stochastic loads and generation into the operation of power grids gives rise to an exposure to stochastic risk. This risk has been addressed in prior work through a variety of mechanisms, such as scenario generation or…

Optimization and Control · Mathematics 2017-11-06 Daniel Bienstock , Apurv Shukla

One of the most complicating factors in decentralized optimization for power systems is the modeling of power flow equations. Existing formulations for DC power flows either have limited scalability or are very dense and unstructured,…

Optimization and Control · Mathematics 2021-03-16 Alinson S. Xavier , Feng Qiu , Santanu S. Dey

Optimal power flow (OPF) is a critical optimization problem for power systems to operate at points where cost or other operational objectives are optimized. Due to the non-convexity of the set of feasible OPF operating points, it is…

Optimization and Control · Mathematics 2025-03-03 Daniel Turizo , Diego Cifuentes , Anton Leykin , Daniel K. Molzahn

The increasing share of converter based resources in power systems calls for scalable methods to analyse stability without relying on exhaustive system wide simulations. Decentralized small gain and small-phase criteria have recently been…

Systems and Control · Electrical Eng. & Systems 2026-04-15 Diego Cifelli , Adolfo Anta

Although distribution grid customers are obliged to share their consumption data with distribution system operators (DSOs), a possible leakage of this data is often disregarded in operational routines of DSOs. This paper introduces a…

Optimization and Control · Mathematics 2020-08-21 Vladimir Dvorkin , Ferdinando Fioretto , Pascal Van Hentenryck , Pierre Pinson , Jalal Kazempour

Power system networks are often modeled as homogeneous graphs, which limits the ability of graph neural network (GNN) to capture individual generator features at the same nodes. By introducing the proposed virtual node-splitting strategy,…

Systems and Control · Electrical Eng. & Systems 2025-07-22 Thuan Pham , Xingpeng Li

When uncontrollable resources fluctuate, Optimum Power Flow (OPF), routinely used by the electric power industry to re-dispatch hourly controllable generation (coal, gas and hydro plants) over control areas of transmission networks, can…

Optimization and Control · Mathematics 2013-02-06 Daniel Bienstock , Michael Chertkov , Sean Harnett

The recent literature has discussed the use of the relaxed Second Order Cone Programming (SOCP) to formulate Optimal Power Flow problems (OPF) for radial power grids. However, if the shunt parameters of the lines, composing the power grid,…

Optimization and Control · Mathematics 2017-07-04 Mostafa Nick , Rachid Cherkaoui , Jean-Yves Le Boudec , Mario Paolone

One of the most common control decisions faced by power system operators is the question of how to dispatch generation to meet demand for power. This is a complex optimization problem that includes many nonlinear, non convex constraints as…

Optimization and Control · Mathematics 2013-06-14 Russell Bent , Daniel Bienstock , Michael Chertkov

Fast-acting smart inverters that utilize preset operating conditions to determine real and reactive power injection/consumption can create voltage instabilities (over-voltage, voltage oscillations and more) in an electrical distribution…

Systems and Control · Electrical Eng. & Systems 2020-11-20 Shammya Shananda Saha , Daniel Arnold , Anna Scaglione , Eran Schweitzer , Ciaran Roberts , Sean Peisert , Nathan G. Johnson

The growing integration of inverter-based resources (IBRs) into modern power systems poses significant challenges for maintaining reliable operation under dynamic and constrained conditions. This paper focuses on the power tracking problem…

Systems and Control · Electrical Eng. & Systems 2025-03-17 Zixiao Ma , Baosen Zhang

Optimal power flow (OPF) is a central problem in the operation of electric power systems. An OPF problem optimizes a specified objective function subject to constraints imposed by both the non-linear power flow equations and engineering…

Optimization and Control · Mathematics 2018-04-13 Mohammad Rasoul Narimani , Daniel K. Molzahn Dan Wu , Mariesa L. Crow

This paper shows that a necessary and sufficient condition for the small-signal stability of an inverter-integrated power system can be expressed in terms of semidefinite matrix inequalities determined only by the synchronous reactance of…

Systems and Control · Electrical Eng. & Systems 2025-03-27 Taku Nishino , Yoshiyuki Onishi , Takayuki Ishizaki

In this paper, we develop semidefinite programming (SDP) models aimed at solving optimal power flow (OPF) problems in distribution systems. We propose two models: the symmetrical SDP model which modifies the existing BFM-SDP model. Then…

Optimization and Control · Mathematics 2017-12-27 Zeyu Wang , Daniel S. Kirschen , Baosen Zhang

In this paper, we develop a distributionally robust chance-constrained formulation of the Optimal Power Flow problem (OPF) whereby the system operator can leverage contextual information. For this purpose, we exploit an ambiguity set based…

Optimization and Control · Mathematics 2022-10-05 Adrián Esteban-Pérez , Juan M. Morales

The existing decentralized control for cascaded inverters is based on the assumption that all modules have same capacities, and a local fixed-amplitude-varied-phase voltage control is adopted for each inverter module. However, available…

Signal Processing · Electrical Eng. & Systems 2018-12-21 Xiaochao Hou , Yao Sun , Xin Zhang , Jinsong He , Josep Pou
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