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This tutorial summarizes recent advances in the convex relaxation of the optimal power flow (OPF) problem, focusing on structural properties rather than algorithms. Part I presents two power flow models, formulates OPF and their relaxations…

最优化与控制 · 数学 2016-11-18 Steven H. Low

This paper proposes a component-based dual decomposition of the nonconvex AC optimal power flow (OPF) problem, where the modified dual function is solved in a distributed fashion. The main contribution of this work is that is demonstrates…

分布式、并行与集群计算 · 计算机科学 2017-08-23 Sleiman Mhanna , Gregor Verbic , Archie Chapman

This paper considers the network flow stabilization problem in power systems and adopts an output regulation viewpoint. Building upon the structure of a heterogeneous port-Hamiltonian model, we integrate network aspects and develop a…

最优化与控制 · 数学 2018-04-27 Catalin Arghir , Florian Dörfler

This tutorial summarizes recent advances in the convex relaxation of the optimal power flow (OPF) problem, focusing on structural properties rather than algorithms. Part I presents two power flow models, formulates OPF and their relaxations…

最优化与控制 · 数学 2016-11-18 Steven H. Low

Optimal power flow (OPF) is a critical optimization problem that allocates power to the generators in order to satisfy the demand at a minimum cost. Solving this problem exactly is computationally infeasible in the general case. In this…

系统与控制 · 电气工程与系统科学 2022-10-18 Damian Owerko , Fernando Gama , Alejandro Ribeiro

This paper presents a convex, multi-period, AC-feasible Optimal Power Flow (OPF) framework that robustly dispatches flexible demand-side resources in unbalanced distribution feeders against uncertainty in very-short timescale solar…

最优化与控制 · 数学 2020-05-20 Nawaf Nazir , Mads Almassalkhi

Optimal power flow (OPF) is a key problem in power system operations. OPF problems that use the nonlinear AC power flow equations to accurately model the network physics have inherent challenges associated with non-convexity. To address…

最优化与控制 · 数学 2020-06-19 Mohammad Rasoul Narimani , Daniel K. Molzahn , Mariesa L. Crow

Conservation voltage reduction(CVR) uses Volt-VAR optimization(VVO) methods to reduce customer power demand by controlling the feeders' voltage control devices. The objective of this paper is to present a VVO approach that controls the…

最优化与控制 · 数学 2019-12-10 Rahul Ranjan Jha , Anamika Dubey , Chen-Ching Liu , Kevin P. Schneider

AC optimal power flow (AC~OPF) is a challenging non-convex optimization problem that plays a crucial role in power system operation and control. Recently developed convex relaxation techniques provide new insights regarding the global…

最优化与控制 · 数学 2018-04-10 Mohammad Rasoul Narimani , Daniel K. Molzahn , Mariesa L. Crow

AC optimal power flow (AC OPF) is a fundamental problem in power system operations. Accurately modeling the network physics via the AC power flow equations makes AC OPF a challenging nonconvex problem. To search for global optima, recent…

最优化与控制 · 数学 2024-04-09 Mohammad Rasoul Narimani , Daniel K. Molzahn , Katherine R. Davis , Mariesa L. Crow

The optimal power flow (OPF) problem minimizes the operating cost of an electric power system. Applications of convex relaxation techniques to the non-convex OPF problem have been of recent interest, including work using the Lasserre…

最优化与控制 · 数学 2016-11-17 Daniel K. Molzahn , Cédric Josz , Ian A. Hiskens , Patrick Panciatici

Existing algorithms to solve alternating-current optimal power flow (AC-OPF) often exploit linear approximations to simplify system models and accelerate computations. In this paper, we improve a recent hierarchical OPF algorithm, which…

最优化与控制 · 数学 2023-02-09 Heng Liang , Xinyang Zhou , Changhong Zhao

This paper investigates phase transitions on the optimality gaps in Optimal Power Flow (OPF) problem on real-world power transmission systems operated in France. The experimental results study optimal power flow solutions for more than 6000…

最优化与控制 · 数学 2018-07-17 Terrence W. K. Mak , Lyndon Shi , Pascal Van Hentenryck

Optimal power flow (OPF) is one of the key electric power system optimization problems. "Moment" relaxations from the Lasserre hierarchy for polynomial optimization globally solve many OPF problems. Previous work illustrates the ability of…

最优化与控制 · 数学 2016-12-09 Daniel K. Molzahn , Cedric Josz , Ian A. Hiskens

We propose a hidden convexity-based method to address distributed optimal energy flow (OEF) problems for transmission-level integrated electricity-gas systems. First, we develop a node-wise decoupling method to de-compose an OEF problem…

最优化与控制 · 数学 2024-07-09 Rong-Peng Liu , Yue Song , Junhong Liu , Xiaozhe Wang , Jinpeng Guo , Yunhe Hou

In this paper, a novel convexification approach for Small-Signal Stability Constraint Optimal Power Flow (SSSC-OPF) has been presented that does not rely on eigenvalue analysis. The proposed methodology is based on the sufficient condition…

最优化与控制 · 数学 2021-09-17 Parikshit Pareek , Hung D. Nguyen

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…

最优化与控制 · 数学 2021-05-05 Ishanki A. De Mel , Oleksiy V. Klymenko , Michael Short

The alternating current optimal power flow (ACOPF) problem is central to modern power system operations, determining how electricity is generated and transmitted to maximize social welfare while respecting physical and operational…

最优化与控制 · 数学 2026-02-17 Ata Keskin

Linear optimal power flow (LOPF) algorithms use a linearization of the alternating current (AC) load flow equations to optimize generator dispatch in a network subject to the loading constraints of the network branches. Common algorithms…

适应与自组织系统 · 物理学 2018-02-01 Jonas Hörsch , Henrik Ronellenfitsch , Dirk Witthaut , Tom Brown

This paper proposes a novel two-layer Volt/VAR control (VVC) framework to regulate the voltage profiles across an unbalanced active distribution system, which achieves both the efficient open-loop optimization and accurate closed-loop…

系统与控制 · 电气工程与系统科学 2019-12-25 Yifei Guo , Qianzhi Zhang , Zhaoyu Wang , Fankun Bu , Yuxuan Yuan