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This paper develops a novel second order cone relaxation of the semidefinite programming formulation of optimal power flow, that does not imply the `angle relaxation'. We build on a technique developed by Kim et al., extend it for complex…

最优化与控制 · 数学 2021-04-15 Frederik Geth , James Foster

This paper considers a collection of networked nonlinear dynamical systems, and addresses the synthesis of feedback controllers that seek optimal operating points corresponding to the solution of network-wide constrained optimization…

最优化与控制 · 数学 2015-04-03 Emiliano Dall'Anese , Sairaj Dhople , Georgios B. Giannakis

Optimal Transmission Switching (OTS) problems minimize operational costs while treating both the transmission line energization statuses and generator setpoints as decision variables. The combination of nonlinearities from an AC power flow…

系统与控制 · 电气工程与系统科学 2025-05-05 Babak Taheri , Daniel K. Molzahn

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…

最优化与控制 · 数学 2018-02-09 Chin-Yao Chang , Wei Zhang

This paper is concerned with optimal power flow (OPF), which is the problem of optimizing the transmission of electricity in power systems. Our main contributions are as follows: (i) we propose a novel parabolic relaxation, which transforms…

最优化与控制 · 数学 2018-09-27 Fariba Zohrizadeh , Mohsen Kheirandishfard , Edward Quarm , Ramtin Madani

Mixed-Integer Second-Order Cone Programs (MISOCPs) form a nice class of mixed-inter convex programs, which can be solved very efficiently due to the recent advances in optimization solvers. Our paper bridges the gap between modeling a class…

最优化与控制 · 数学 2022-06-22 Amir Ahmadi-Javid , Pooya Hoseinpour

Optimal power flow (OPF) is a fundamental tool for analyzing the characteristics of bipolar DC distribution network (DCDN). However, existing OPF models face challenges in reflecting the power distribution and exchange of bipolar DCDN…

系统与控制 · 电气工程与系统科学 2023-07-06 Yiyao Zhou , Qianggang Wang , Yuan Chi , Jianquan Liao , Tao Huang , Niancheng Zhou , Xiaolong Xu , Xuefei Zhang

The ever increasing utilization of sensitive loads in the industrial, commercial and residential areas in distribution networks requires enhanced reliability and quality of supply. This can be achieved thanks to self healing features of…

最优化与控制 · 数学 2018-04-18 Hossein Sekhavatmanesh , Rachid Cherkaoui

Economic dispatch problem for a networked power system has been considered. The objective is to minimize the total generation cost while meeting the overall supply-demand balance and generation capacity. In particular, a more practical…

系统与控制 · 计算机科学 2019-05-01 Seungjoon Lee , Hyungbo Shim

The massive integration of distributed energy resources changes the operational demands of the electric power distribution system, motivating optimization-based approaches. The added computational complexities of the resulting optimal power…

最优化与控制 · 数学 2023-07-04 Yunqi Luo , Rabayet Sadnan , Bala Krishnamoorthy , Anamika Dubey

This paper studies the well-posedness and regularity of safe stabilizing optimization-based controllers for control-affine systems in the presence of model uncertainty. When the system dynamics contain unknown parameters, a finite set of…

最优化与控制 · 数学 2024-01-01 Pol Mestres , Kehan Long , Nikolay Atanasov , Jorge Cortés

There has been a significant growth of variable renewable generation in the power grid today. However, the industry still uses deterministic optimization to model and solve the optimal power flow (OPF) problem for real-time generation…

最优化与控制 · 数学 2019-12-02 Xingpeng Li , Qianxue Xia

The economic dispatch problem is considered for unbalanced three-phase power distribution networks entailing both non-deferrable and elastic loads, and distributed generation (DG) units. The objective is to minimize the costs of power drawn…

最优化与控制 · 数学 2012-11-27 Emiliano Dall'Anese , Georgios B. Giannakis , Bruce F. Wollenberg

This paper proposes three strong second order cone programming (SOCP) relaxations for the AC optimal power flow (OPF) problem. These three relaxations are incomparable to each other and two of them are incomparable to the standard SDP…

最优化与控制 · 数学 2017-06-14 Burak Kocuk , Santanu S. Dey , X. Andy Sun

This paper presents a novel convex optimization-based method for finding the globally optimal solutions of a class of mixed-integer non-convex optimal control problems. We consider problems with non-convex constraints that restrict the…

最优化与控制 · 数学 2019-11-21 Danylo Malyuta , Behcet Acikmese

A standard operational requirement in power systems is that the voltage magnitudes lie within prespecified bounds. Conventional engineering wisdom suggests that such a tightly-regulated profile, imposed for system design purposes and good…

最优化与控制 · 数学 2020-10-06 Marco Todescato , John W. Simpson-Porco , Florian Dörfler , Ruggero Carli , Francesco Bullo

This paper examines the problem of real-time optimization of networked systems and develops online algorithms that steer the system towards the optimal trajectory without explicit knowledge of the system model. The problem is modeled as a…

最优化与控制 · 数学 2019-10-01 Yue Chen , Andrey Bernstein , Adithya Devraj , Sean Meyn

This paper treats an optimal scheduling problem of control nodes in networked systems. We newly introduce both the L0 and l0 constraints on control inputs to extract a time-varying small number of effective control nodes. As the cost…

最优化与控制 · 数学 2021-08-31 Takuya Ikeda , Kazunori Sakurama , Kenji Kashima

The increasing adoption of renewable energy sources increases the need for balancing power. The security concerns of the distribution system operators are increasing due to fast adoption of distributed energy resources. So far, various…

系统与控制 · 电气工程与系统科学 2019-12-17 Peng Hou , Guangya Yang , Junjie Hu , Philip Douglass

In this paper, we consider the problem of optimally coordinating the response of a group of distributed energy resources (DERs) in distribution systems by solving the so-called optimal power flow (OPF) problem. The OPF problem is concerned…

系统与控制 · 计算机科学 2020-05-07 Madi Zholbaryssov , Alejandro D. Dominguez-Garcia