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This paper proposes a hard-constrained unsupervised learning framework for rapidly solving the non-linear and non-convex AC optimal power flow (AC-OPF) problem in real-time operation. Without requiring ground-truth AC-OPF solutions,…

系统与控制 · 电气工程与系统科学 2026-02-09 Kejun Chen , Bernard Knueven , Wesley Jones

Chance-constrained optimization has emerged as a promising framework for managing uncertainties in power systems. This work advances its application to the DC Optimal Power Flow (DC-OPF) model, developing a novel approach to uncertainty…

系统与控制 · 电气工程与系统科学 2026-03-18 Tianyang Yi , D. Adrian Maldonado , Anirudh Subramanyam

The branch flow based optimal power flow(OPF) problem in radianlly operated distribution networks can be exactly relazed to a second order cone programming (SOCP) model without considering transformers. However, the introdution of nonlinear…

系统与控制 · 计算机科学 2017-05-09 Wenchuan Wu , Zhuang Tian , Boming Zhang

We propose an efficient algorithm for the optimal control problems (OCPs) of nonlinear switched systems that optimizes the control input and switching instants simultaneously for a given switching sequence. We consider the switching…

最优化与控制 · 数学 2021-06-09 Sotaro Katayama , Toshiyuki Ohtsuka

Optimal transmission switching (OTS) determines which transmission lines to remove from service to minimize dispatch costs. Unlike topology design, it alters the operational status of operating lines. Sensitivity-based methods, as advanced…

系统与控制 · 电气工程与系统科学 2026-03-24 Zongqi Hu , Weiqi Meng , Bai Cui

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

We demonstrate that valid inequalities, or lifted nonlinear cuts (LNC), can be projected to tighten the Second Order Cone (SOC), Convex DistFlow (CDF), and Network Flow (NF) relaxations of the AC Optimal Power Flow (AC-OPF) problem. We…

最优化与控制 · 数学 2024-09-27 Sergio I. Bugosen , Robert B. Parker , Carleton Coffrin

This paper presents a reformulation for the automatic generation control (AGC) in a decomposed convex relaxation algorithm. It finds an optimal solution to the AC optimal power flow (ACOPF) problem that is secure against a large set of…

最优化与控制 · 数学 2021-07-09 Muhammad Waseem , Saeed D. Manshadi

We formulate an optimal scheduling problem for battery swapping that assigns to each electric vehicle (EV) a best station to swap its depleted battery based on its current location and state of charge. The schedule aims to minimize total…

最优化与控制 · 数学 2016-11-24 Pengcheng You , Steven H. Low , Wayes Tushar , Guangchao Geng , Chau Yuen , Zaiyue Yang , Youxian Sun

The coordinated alternating current optimal power flow (ACOPF) for coupled transmission-distribution grids has become crucial to handle problems related to high penetration of renewable energy sources (RESs). However, obtaining all system…

最优化与控制 · 数学 2022-08-04 Wentian Lu , Kaijun Xie , Mingbo Liu , Xiaogang Wang , Lefeng Cheng

Incorporating energy storage systems (ESS) into power systems has been studied in many recent works, where binary variables are often introduced to model the complementary nature of battery charging and discharging. A conventional approach…

最优化与控制 · 数学 2025-01-13 Dahye Han , Nan Jiang , Santanu S. Dey , Weijun Xie

In this work we introduce PowerModelsDistribution, a free, open-source toolkit for distribution power network optimization, whose primary focus is establishing a baseline implementation of steady-state multi-conductor unbalanced…

计算工程、金融与科学 · 计算机科学 2020-12-09 David M Fobes , Sander Claeys , Frederik Geth , Carleton Coffrin

Convex relaxations of the power flow equations and, in particular, the Semi-Definite Programming (SDP), Second-Order Cone (SOC), and Convex DistFlow (CDF) relaxations, have attracted significant interest in recent years. Thus far, studies…

最优化与控制 · 数学 2018-07-04 Carleton Coffrin , Hassan L. Hijazi , Pascal Van Hentenryck

The increasing application of voltage source converter (VSC) high voltage direct current (VSC-HVDC) technology in power grids has raised the importance of incorporating DC grids and converters into the existing transmission network. This…

最优化与控制 · 数学 2022-03-08 Junyi Zhai , Xinliang Dai , Yuning Jiang , Ying Xue , Veit Hagenmeyer , Colin N. Jones , Xiao-Ping Zhang

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

The existing research on market price-affecting agents, i.e. price makers, neglects or simplifies the nature of AC power flows in the power system as it predominantly relies on DC power flows. This paper proposes a novel bilevel formulation…

系统与控制 · 电气工程与系统科学 2022-07-12 Karlo Šepetanc , Hrvoje Pandžić , Tomislav Capuder

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

Nonlinear power flow constraints render a variety of power system optimization problems computationally intractable. Emerging research shows, however, that the nonlinear AC power flow equations can be successfully modeled using Neural…

机器学习 · 计算机科学 2021-11-01 Alyssa Kody , Samuel Chevalier , Spyros Chatzivasileiadis , Daniel Molzahn

With the integration of Renewable Energy Sources (RESs), the power network must be robust to handle the system's uncertain scenarios. DC Transmission Expansion Planning (TEP) plans are generally not feasible for the AC network. A first…

系统与控制 · 电气工程与系统科学 2021-11-11 P. Naga Yasasvi , Abheejeet Mohapatra , Suresh Chandra Srivastava

Network topology has significant impacts on operational performance of power systems. While extensive research efforts have been devoted to optimization of network topology for improving various system performances, the problem of how to…

系统与控制 · 电气工程与系统科学 2022-08-23 Tong Han , David J. Hill , Yue Song