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Related papers: A Framework for Robust Steady-State Voltage Stabil…

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This two-part paper details a theory of solvability for the power flow equations in lossless power networks. In Part I, we derived a new formulation of the lossless power flow equations, which we term the fixed-point power flow. The model…

Optimization and Control · Mathematics 2017-09-21 John W. Simpson-Porco

To improve the resilience of electric distribution systems, this paper proposes a stochastic multi-period mixed-integer linear programming model that determines where to underground distribution lines and how to coordinate mobile generators…

Systems and Control · Electrical Eng. & Systems 2022-04-25 Babak Taheri , Daniel K. Molzahn , Santiago Grijalva

The energy transition is causing many stability-related challenges for power systems. Transient stability refers to the ability of a power grid's bus angles to retain synchronism after the occurrence of a major fault. In this paper a…

Optimization and Control · Mathematics 2021-01-12 Tim Aschenbruck , Willem Esterhuizen , Stefan Streif

This report serves as a technology description of a Julia-based re-implementation of the fixed-point current injection algorithm, available in PowerModelsDistribution.jl [1]. This report does not describe a novel method for solving…

Optimization and Control · Mathematics 2023-05-09 Frederik Geth , Sander Claeys , Rahmat Heidari

This paper addresses the problem of voltage regulation in power distribution networks with deep-penetration of distributed energy resources, e.g., renewable-based generation, and storage-capable loads such as plug-in hybrid electric…

Optimization and Control · Mathematics 2015-02-10 Baosen Zhang , Albert Y. S. Lam , Alejandro Dominguez-Garcia , David Tse

We propose a scalable optimization framework for estimating convex inner approximations of the steady-state security sets. The framework is based on Brouwer fixed point theorem applied to a fixed-point form of the power flow equations. It…

Optimization and Control · Mathematics 2018-11-21 Hung D. Nguyen , Krishnamurthy Dvijotham , Konstantin Turitsyn

Distribution system end users are transforming from passive to active participants, marked by the push towards widespread adoption of edge-level Distributed Energy Resources (DERs). This paper addresses the challenges in distribution system…

Systems and Control · Electrical Eng. & Systems 2025-10-28 Arun Kumar Karngala , Chanan Singh , Le Xie

The increasing penetration of Distributed Energy Resources (DER) in the distribution network creates new challenges in the operation of both the transmission and the distribution network. However, the controllability of the converter…

Systems and Control · Electrical Eng. & Systems 2022-09-07 Giorgos Prionistis , Costas Vournas

Modern distribution grids are currently being challenged by frequent and sizable voltage fluctuations, due mainly to the increasing deployment of electric vehicles and renewable generators. Existing approaches to maintaining bus voltage…

Systems and Control · Computer Science 2019-12-05 Qiuling Yang , Gang Wang , Alireza Sadeghi , Georgios B. Giannakis , Jian Sun

With the increasing penetration of Inverter-Based Resources (IBRs) and their impact on power system stability and operation, the concept of stability-constrained optimization has drawn significant attention from researchers. In order to…

Systems and Control · Electrical Eng. & Systems 2024-04-23 Zhongda Chu , Fei Teng

In this paper, we address the problem of coordinating a set of distributed energy resources (DERs) to regulate voltage in power distribution systems to desired levels. To this end, we formulate the voltage control problem as an optimization…

Optimization and Control · Mathematics 2020-06-09 Hanchen Xu , Alejandro D. Domínguez-García , Peter W. Sauer

The energy landscape for the Low-Voltage (LV) networks are beginning to change; changes resulted from the increase penetration of renewables and/or the predicted increase of electric vehicles charging at home. The previously passive…

Machine Learning · Computer Science 2019-06-21 Maizura Mokhtar , Valentin Robu , David Flynn , Ciaran Higgins , Jim Whyte , Caroline Loughran , Fiona Fulton

The quasi steady-state (QSS) model tries to reach a good compromise between accuracy and efficiency in long-term stability analysis. However, the QSS model is unable to provide correct approximations and stability assessment for the…

Systems and Control · Computer Science 2014-05-07 Xiaozhe Wang , Hsiao-Dong Chiang

We present a method and tool for evaluating the placement of Distributed Energy Resources (DER) on distribution circuits in order to control voltages and power flows. Our previous work described Phasor-Based Control (PBC), a novel control…

Systems and Control · Electrical Eng. & Systems 2021-03-24 Jaimie Swartz , Brittany Wais , Elizabeth Ratnam , Alexandra von Meier

A major transition in the operation of electric power grids is the replacement of synchronous machines by distributed generation connected via power electronic converters. The accompanying "loss of rotational inertia" and the fluctuations…

Optimization and Control · Mathematics 2021-01-15 Bala Kameshwar Poolla , Saverio Bolognani , Florian Dorfler

Increasing distributed energy resources (DERs) may result in reactive power imbalance in a transmission power system (TPS). An active distribution power system (DPS) having DERs reportedly can work as a reactive power prosumer to help…

Systems and Control · Computer Science 2018-05-09 Zhengshuo Li , Jianhui Wang , Hongbin Sun , Feng Qiu , Qinglai Guo

The increasing penetration of renewables in distribution networks calls for faster and more advanced voltage regulation strategies. A promising approach is to formulate the problem as an optimization problem, where the optimal reactive…

Optimization and Control · Mathematics 2020-02-24 Yize Chen , Yuanyuan Shi , Baosen Zhang

If a disturbance rocks a low-inertia power system, the frequency decline may be too rapid to arrest before it triggers undesirable responses from generators and loads. In the worst case, this instability could lead to blackout and major…

Systems and Control · Electrical Eng. & Systems 2022-07-08 Adam B. Birchfield

Recently, the existence of robust three-dimensional light bullets (LBs) was predicted theoretically in the output of a laser coupled to a distant saturable absorber. In this manuscript, we analyze the stability and the range of existence of…

Optics · Physics 2017-08-16 S. V. Gurevich , J. Javaloyes

Virtual inertia is an effective control approach to attenuate sudden voltage changes during transient events in low-inertia DC grids. While methods have been proposed to implement virtual inertia, its impact on DC grid stability in the…

Systems and Control · Electrical Eng. & Systems 2023-02-09 Hao Tu , Hui Yu , Srdjan Lukic