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Optimal power flow (OPF) is an important tool for Independent System Operators (ISOs) to deal with the power generation management. With the increasing penetration of renewable energy into power grids, challenges arise in tackling the OPF…

Optimization and Control · Mathematics 2023-06-27 Jia Yang , Jun Song , Chaoyue Zhao

Transmission-constrained problems in power systems can be cast as polynomial optimization problems whose coefficients vary over time. We consider the complications therein and suggest several approaches. On the example of the…

Optimization and Control · Mathematics 2023-09-25 Jie Liu , Antonio Bellon , Andrea Simonetto , Martin Takac , Jakub Marecek

The nonlinear programming (NLP) problem to solve distribution-level optimal power flow (D-OPF) poses convergence issues and does not scale well for unbalanced distribution systems. The existing scalable D-OPF algorithms either use…

Optimization and Control · Mathematics 2021-03-02 Rahul Ranjan Jha , Anamika Dubey

Transient energy growth of flow perturbations is an important mechanism for laminar-to-turbulent transition that can be mitigated with feedback control. Linear quadratic optimal control strategies have shown some success in reducing…

Fluid Dynamics · Physics 2020-12-25 Huaijin Yao , Yiyang Sun , Talha Mushtaq , Maziar S. Hemati

The optimal power flow (OPF) is an optimization model dedicated to the development of computational tools used for the planning and operation of electric power systems (EPS). In this work, based on the polar formulation, an extended convex…

Optimization and Control · Mathematics 2018-10-30 Mauro Viegas da Silva , Mahdi Pourakbari-Kasmaei , J. Roberto Sanches Mantovani

At the heart of power system operations, alternating current optimal power flow (ACOPF) studies the generation of electric power in the most economical way under network-wide load requirement, and can be formulated as a highly structured…

Optimization and Control · Mathematics 2024-01-17 Sihan Zeng , Youngdae Kim , Yuxuan Ren , Kibaek Kim

Optimisation and simulation models for the design and operation of grid-connected distributed energy systems (DES) often exclude the inherent nonlinearities related to power flow and generation and storage units, to maintain an…

Optimization and Control · Mathematics 2021-05-05 Ishanki A. De Mel , Oleksiy V. Klymenko , Michael Short

The Optimal Power Flow (OPF) problem is pivotal for power system operations, guiding generator output and power distribution to meet demand at minimized costs, while adhering to physical and engineering constraints. The integration of…

Machine Learning · Computer Science 2023-11-27 Chen Li , Alexander Kies , Kai Zhou , Markus Schlott , Omar El Sayed , Mariia Bilousova , Horst Stoecker

The optimal power flow (OPF) problem is funda- mental in power distribution networks control and operation that underlies many important applications such as volt/var control and demand response, etc.. Large-scale highly volatile renewable…

Optimization and Control · Mathematics 2015-12-22 Qiuyu Peng , Steven Low

This paper develops a branch-flow based optimal power flow (OPF) problem for multi-phase distribution networks that allows for tap selection of wye, closed-delta, and open-delta step-voltage regulators (SVRs). SVRs are assumed ideal and…

Optimization and Control · Mathematics 2019-01-16 Mohammadhafez Bazrafshan , Nikolaos Gatsis , Hao Zhu

This paper proposes a linear approximation of the alternating current optimal power flow problem for multiphase distribution networks with voltage-dependent loads connected in both wye and delta configurations. We establish a set of linear…

Optimization and Control · Mathematics 2024-04-11 Geunyeong Byeon , Minseok Ryu , Kibaek Kim

An optimal trade-off design for fractional order (FO)-PID controller is proposed in this paper with a Linear Quadratic Regulator (LQR) based technique using two conflicting time domain control objectives. The deviation of the state…

Optimization and Control · Mathematics 2016-12-01 Saptarshi Das , Indranil Pan , Shantanu Das

In this paper, a novel quadratic convex optimal power flow model, namely, MDOPF, is proposed to determine the optimal dispatches of distributed generators. Based on the results of MDOPF, two price mechanisms, distribution locational…

Systems and Control · Electrical Eng. & Systems 2020-09-07 Tianshu Yang , Ye Guo , Lirong Deng , Hongbin Sun , Wenchuan Wu

One of the significant challenges linked with the massive integration of distributed energy resources (DER) in the active distribution grids is the uncertainty it brings along. The grid operation becomes more arduous to avoid voltage or…

Systems and Control · Electrical Eng. & Systems 2022-07-19 Rajkumar Palaniappan , Jan-Niklas Ceschlaw , Stavros Karagiannopoulos , Christian Rehtanz

The optimal power flow (OPF) problem seeks to control power generation/demand to optimize certain objectives such as minimizing the generation cost or power loss in the network. It is becoming increasingly important for distribution…

Optimization and Control · Mathematics 2013-07-02 Lingwen Gan , Na Li , Ufuk Topcu , Steven H. Low

We consider the Linear-Quadratic-Regulator (LQR) problem in terms of optimizing a real-valued matrix function over the set of feedback gains. Such a setup facilitates examining the implications of a natural initial-state independent…

Systems and Control · Electrical Eng. & Systems 2019-07-31 Jingjing Bu , Afshin Mesbahi , Maryam Fazel , Mehran Mesbahi

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

Optimal power flow (OPF) problem is a class of large-scale and non-convex optimization problem. Various algorithms are proposed to solve the challenging OPF problem. Recent studies show that semidefinite programming (SDP) can either provide…

Optimization and Control · Mathematics 2018-02-09 Chin-Yao Chang , Wei Zhang

This paper presents a new approach to approximate the AC optimal power flow (ACOPF). By eliminating the need to solve the ACOPF every few minutes, the paper showcases how a realtime feedback controller can be utilized in lieu of ACOPF and…

Systems and Control · Electrical Eng. & Systems 2024-06-11 Muhammad Nadeem , Ahmad F. Taha

This paper studies the linear-quadratic (LQ) optimal control problem of a class of systems governed by the first-order hyperbolic partial differential equations (PDEs) with final state constraints. The main contribution is to present the…

Optimization and Control · Mathematics 2024-11-25 Xiaomin Xue , Juanjuan Xu , Huanshui Zhang , Long Hu