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High penetration of renewable energy sources and the increasing share of stochastic loads require the explicit representation of uncertainty in tools such as the optimal power flow (OPF). Current approaches follow either a linearized…

系统与控制 · 计算机科学 2020-07-24 Andreas Venzke , Lejla Halilbasic , Uros Markovic , Gabriela Hug , Spyros Chatzivasileiadis

The distribution optimal power flow (D-OPF) models have gained attention in recent years to optimally operate acentrally-managed distribution grid. On account of nonconvex formulation that is difficult to solve, several relaxation methods…

最优化与控制 · 数学 2019-12-10 Rahul Ranjan Jha , Anamika Dubey

Direct-current microgrids (DC-MGs) can operate in either grid-connected or stand-alone mode. In particular, stand-alone DC-MG has many distinct applications. However, the optimal power flow problem of a stand-alone DC-MG is inherently…

最优化与控制 · 数学 2017-08-18 Jia Li , Feng Liu , Zhaojian Wang , Steven H Low , Shengwei Mei

The alternating current optimal power flow (AC-OPF) problem is critical to power system operations and planning, but it is generally hard to solve due to its nonconvex and large-scale nature. This paper proposes a scalable decomposition…

最优化与控制 · 数学 2020-06-12 Shenyinying Tu , Andreas Waechter , Ermin Wei

The uncertainty of multiple power loads and renewable energy generations (PLREG) in power systems increases the complexity of power flow analysis for decision-makers. The chance-constrained method can be applied to model the optimization…

最优化与控制 · 数学 2021-11-12 Ren Hu , Qifeng Li

Solving the non-convex optimal power flow (OPF) problem for large-scale power distribution systems is computationally expensive. An alternative is to solve the relaxed convex problem or linear approximated problem, but these methods lead to…

系统与控制 · 电气工程与系统科学 2022-11-09 Rabayet Sadnan , Anamika Dubey

We propose a new method for generating semidefinite relaxations of optimal power flow problems. The method is based on chordal conversion techniques: by dropping some equality constraints in the conversion, we obtain semidefinite…

最优化与控制 · 数学 2013-12-09 Martin S. Andersen , Anders Hansson , Lieven Vandenberghe

The energy transition is driving the integration of large shares of intermittent power sources in the electric power grid. Therefore, addressing the AC optimal power flow (AC-OPF) effectively becomes increasingly essential. The AC-OPF,…

系统与控制 · 电气工程与系统科学 2024-10-08 Anna Varbella , Damien Briens , Blazhe Gjorgiev , Giuseppe Alessio D'Inverno , Giovanni Sansavini

Unit Commitment (UC) and Optimal Power Flow (OPF) are two fundamental problems in short-term electric power systems planning that are traditionally solved sequentially. The state-of-the-art mostly uses a direct current flow approximation of…

最优化与控制 · 数学 2026-01-22 Deniz Tuncer , Burak Kocuk

We consider the problem of computing equilibria (steady-states) for droop-controlled, islanded, AC microgrids that are both economic-optimal and dynamically stable. This work is motivated by the observation that classical optimal power flow…

最优化与控制 · 数学 2020-02-25 Sungho Shin , Victor M. Zavala

We present a scalable solution method based on an alternating direction method of multipliers and graphics processing units (GPUs) for rapidly computing and tracking a solution of alternating current optimal power flow (ACOPF) problem. Such…

最优化与控制 · 数学 2021-10-14 Youngdae Kim , Kibaek Kim

The power flow equations are at the core of most of the computations for designing and operating electric power systems. The power flow equations are a system of multivariate nonlinear equations which relate the power injections and…

最优化与控制 · 数学 2016-11-17 Dhagash Mehta , Daniel K Molzahn , Konstantin Turitsyn

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…

最优化与控制 · 数学 2019-01-16 Mohammadhafez Bazrafshan , Nikolaos Gatsis , Hao Zhu

Recently, there has been significant interest in convex relaxations of the optimal power flow (OPF) problem. A semidefinite programming (SDP) relaxation globally solves many OPF problems. However, there exist practical problems for which…

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

The Optimal Power Flow (OPF) problem is central to the reliable and efficient operation of power systems, yet its non-convex nature poses significant challenges for finding globally optimal solutions. While convex relaxation techniques such…

最优化与控制 · 数学 2025-05-27 Mohammadreza Iranpour , Mohammad Rasoul Narimani

Probabilistic optimal power flow (POPF) is an important analytical tool to ensure the secure and economic operation of power systems. POPF needs to solve enormous nonlinear and nonconvex optimization problems. The huge computational burden…

信号处理 · 电气工程与系统科学 2019-06-25 Yan Yang , Juan Yu , Zhifang Yang , Mingxu Xiang , Ren Liu

AC/multi-terminal DC (MTDC) hybrid power systems have emerged as a solution for the large-scale and longdistance accommodation of power produced by renewable energy systems (RESs). To ensure the optimal operation of such hybrid power…

最优化与控制 · 数学 2024-09-26 Haixiao Li , Aleksandra Lekić

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…

系统与控制 · 计算机科学 2019-04-04 T. Mühlpfordt , L. Roald , V. Hagenmeyer , T. Faulwasser , S. Misra

We derive the branch ampacity constraint associated to power losses for the convex optimal power flow (OPF) model based on the branch flow formulation. The branch ampacity constraint derivation is motivated by the physical interpretation of…

最优化与控制 · 数学 2020-05-14 Zhao Yuan , Mario Paolone

This paper considers distribution networks featuring inverter-interfaced distributed energy resources, and develops distributed feedback controllers that continuously drive the inverter output powers to solutions of AC optimal power flow…

最优化与控制 · 数学 2016-06-22 Emiliano Dall'Anese , Andrea Simonetto