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Electric power grids regularly experience uncertain fluctuations from load demands and renewables, which poses a risk of violating operational limits designed to safeguard the system. In this paper, we consider the robust AC OPF problem…

Optimization and Control · Mathematics 2021-04-13 Dongchan Lee , Konstantin Turitsyn , Daniel K. Molzahn , Line A. Roald

In this paper, we present a novel transformer architecture tailored for learning robust power system state representations, which strives to optimize power dispatch for the power flow adjustment across different transmission sections.…

Machine Learning · Computer Science 2024-12-02 Kaixuan Chen , Wei Luo , Shunyu Liu , Yaoquan Wei , Yihe Zhou , Yunpeng Qing , Quan Zhang , Jie Song , Mingli Song

Optimization is an essential part of power grid operation and lately, Online Optimization methods have gained traction. One such method is Online Feedback Optimization (OFO) which uses measurements from the grid as feedback to iteratively…

Systems and Control · Electrical Eng. & Systems 2023-08-11 Lukas Ortmann , Christian Rubin , Alessandro Scozzafava , Janick Lehmann , Saverio Bolognani , Florian Dörfler

Due to more volatile generation, flexibility will become more important in transmission grids. One potential source of this flexibility can be distribution grids. A flexibility request from the transmission grid to a distribution grid then…

Systems and Control · Electrical Eng. & Systems 2024-03-05 Lukas Ortmann , Fabian Böhm , Florian Klein-Helmkamp , Andreas Ulbig , Saverio Bolognani , Florian Dörfler

In chemical process applications, model predictive control effectively deals with input and state constraints during transient operations. However, industrial PID controllers directly manipulates the actuators, so they play the key role in…

Systems and Control · Computer Science 2013-05-29 Minh Hoang-Tuan Nguyen , Kok Kiong Tan

Topology optimization is a promising approach for mitigating congestion and managing changing grid conditions, but it is computationally challenging and requires approximations. Conventional distribution factors like PTDFs and LODFs, based…

Optimization and Control · Mathematics 2026-03-19 Maurizio Titz , Dirk Witthaut , Joost van Dijk , Benjamin Petrick , Nico Westerbeck

Distribution systems hold a very significant position in the power system since it is the main point of link between bulk power and consumers. A planned and effective distribution network is the key to cope up with the ever increasing…

Other Computer Science · Computer Science 2014-03-20 Ritu Parasher

Linear approximations of the AC power flow equations are of great significance for the computational efficiency of large-scale optimal power flow (OPF) problems. Put differently, the feasibility of the obtained solution is essential for…

Systems and Control · Electrical Eng. & Systems 2023-06-12 Meiyi Li , Yuhan Du , Javad Mohammadi , Constance Crozier , Kyri Baker , Soummya Kar

This note outlines the exact solution to the power flow problem in AC electrical networks under the assumption of 'flat' or uniform voltage profiles. This solution generalises the common 'DC power flow' approach to electrical network…

History and Overview · Mathematics 2022-07-26 Anthony B. Morton

Predictive Stator Current Control (PSCC) has been proposed for control of multi-phase drives. The flexibility offered by the use of a Cost Function has been used to deal with the increased number of phases. However, tuning of the Weighting…

Systems and Control · Electrical Eng. & Systems 2025-10-13 Manuel R. Arahal , Manuel G. Satué , Kumars Rouzbehi , Francisco Colodro

In this paper we consider the problem of voltage regulation of a proton exchange membrane fuel cell connected to an uncertain load through a boost converter. We show that, in spite of the inherent nonlinearities in the current-voltage…

Systems and Control · Electrical Eng. & Systems 2023-02-20 Rafael Cisneros , Romeo Ortega , Carlo A. Beltrán , Diego Langarica-Córdoba , Luis H. Díaz-Saldierna

In a wind energy conversion system (WECS), changing the pitch angle of the wind turbine blades is a typical practice to regulate the electrical power generation in the full-load regime. Due to the turbulent nature of the wind and the large…

Optimization and Control · Mathematics 2023-08-21 T. Shaqarin , Mahmoud M. S. Al-Suod

In distribution systems, power injection variability due to growing penetrations of distributed energy resources (DERs) and dispatchable loads can lead to power quality issues such as severe voltage unbalance. To ensure the safe operation…

Optimization and Control · Mathematics 2019-12-05 Bowen Li , Bai Cui , Feng Qiu , Daniel K. Molzahn

Primary Frequency Control (PFC) is a fast acting mechanism used to ensure high-quality power for the grid that is becoming an increasingly attractive option for load participation. Due to speed requirement and other considerations, it is…

Optimization and Control · Mathematics 2019-07-23 Joshua Comden , Tan N. Le , Yue Zhao , Bong Jun Choi , Zhenhua Liu

Optimizing radio transmission power and user data rates in wireless systems via power control requires an accurate and instantaneous knowledge of the system model. While this problem has been extensively studied in the literature, an…

Optimization and Control · Mathematics 2016-11-22 Euhanna Ghadimi , Francesco Davide Calabrese , Gunnar Peters , Pablo Soldati

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

With a large-scale integration of distributed energy resources (DERs), distribution systems are expected to be capable of providing capacity support for the transmission grid. To effectively harness the collective flexibility from massive…

Systems and Control · Computer Science 2019-06-04 Xin Chen , Emiliano Dall'Anese , Changhong Zhao , Na Li

Suppression of the transient energy growth in subcritical plane Poiseuille flow via feedback control is addressed. It is assumed that the time derivative of any of the velocity components can be imposed at the walls as control input, and…

Fluid Dynamics · Physics 2015-05-27 F. Martinelli , M. Quadrio , J. McKernan , J. F. Whidborne

This paper considers a distributed PI-controller for networked dynamical systems. Sufficient conditions for when the controller is able to stabilize a general linear system and eliminate static control errors are presented. The proposed…

Optimization and Control · Mathematics 2014-10-01 Martin Andreasson , Dimos V. Dimarogonas , Henrik Sandberg , Karl H. Johansson

As the share of renewables in the grid increases, the operation of power systems becomes more challenging. The present paper proposes a method to formulate and solve chance-constrained optimal power flow while explicitly considering the…

Systems and Control · Computer Science 2019-04-04 T. Mühlpfordt , L. Roald , V. Hagenmeyer , T. Faulwasser , S. Misra