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We investigate the geometry of injection regions and its relationship to optimization of power flows in tree networks. The injection region is the set of all vectors of bus power injections that satisfy the network and operation…

Optimization and Control · Mathematics 2016-11-17 Javad Lavaei , David Tse , Baosen Zhang

This paper proposes a method of identifying single line outages in power systems based on phasor measurement unit (PMU) measurements and ac power flow models. In addition to the main identification algorithm, a rejection filter is…

Systems and Control · Electrical Eng. & Systems 2020-11-20 Zhen Dai , Joseph Euzebe Tate

Building on the theoretical insights of Part I, this paper, as the second part of the tutorial, dives deeper into data-driven power flow linearization (DPFL), focusing on comprehensive numerical testing. The necessity of these simulations…

Systems and Control · Electrical Eng. & Systems 2024-06-12 Mengshuo Jia , Gabriela Hug , Ning Zhang , Zhaojian Wang , Yi Wang , Chongqing Kang

There is a trade-off between transient performance and line current distortion of the DC bus voltage control of single-phase grid-connected voltage source converters. This paper presents an improved DC bus voltage control scheme of such…

Systems and Control · Electrical Eng. & Systems 2022-03-30 Sakda Somkun , Viboon Chunkag

Flexible transmission line impedances on one hand are a promising control resource for facilitating grid flexibility, but on the other hand add much complexity to the concerned optimization problems. This paper develops a convexification…

Optimization and Control · Mathematics 2022-04-12 Yue Song , David J. Hill , Tao Liu , Tianlun Chen

A fast and scalable iterative methodology for solving the security-constrained optimal power flow (SCOPF) problem is proposed using problem decomposition and the inverse matrix modification lemma. The SCOPF formulation tackles system…

Optimization and Control · Mathematics 2024-07-22 Matias Vistnes , Vijay Venu Vadlamudi , Oddbjørn Gjerde

The AC power flow equations underlie all operational aspects of power systems. They are solved routinely in operational practice using the Newton-Raphson method and its variants. These methods work well given a good initial "guess" for the…

Systems and Control · Computer Science 2015-07-14 Krishnamurthy Dvijotham , Steven Low , Michael Chertkov

A fundamental challenge in computer analysis of power flow is the rigorous understanding of the impact of different loading levels on the solutions of the power flow equation. This letter presents a comprehensive study of possible numerical…

Signal Processing · Electrical Eng. & Systems 2019-09-06 Dan Wu , Bin Wang , Kai Sun , Le Xie

The method of flow tracing follows the power flow from net-generating sources through the network to the net-consuming sinks, which allows to assign the usage of the underlying transmission infrastructure to the system participants. This…

Physics and Society · Physics 2017-11-09 Jonas Hörsch , Mirko Schäfer , Sarah Becker , Stefan Schramm , Martin Greiner

The widespread adoption of renewable energy poses a challenge in maintaining a feasible operating point in highly variable scenarios. This paper demonstrates that, within a feasible region of a power system that meets practical stability…

Systems and Control · Electrical Eng. & Systems 2026-03-24 Qirui Zheng , Dan Wu , Franz-Erich Wolter , Sijia Geng

This paper proposes an analytical voltage estimation method for the power packet dispatching network. A unit power packet consists of signals and DC pulsed voltage waveform. In the network, power packets are transmitted among power packet…

Systems and Control · Electrical Eng. & Systems 2021-12-30 Shinji Katayama , Takashi Hikihara

As an effective emulator of ill-conditioned power flow, continuous Newton methods (CNMs) have been extensively investigated using explicit and implicit numerical integration algorithms. Explicit CNMs are prone to non-convergence issues due…

Systems and Control · Electrical Eng. & Systems 2024-12-02 Ruizhi Yu , Wei Gu , Yijun Xu , Shuai Lu , Suhan Zhang

Power Flow (PF) calculation based on machine learning (ML) techniques offer significant computational advantages over traditional numerical methods but often struggle to maintain full physical consistency. This paper introduces a…

Machine Learning · Computer Science 2025-12-01 Panteleimon Dogoulis , Mohammad Iman Alizadeh , Sylvain Kubler , Maxime Cordy

Josephson junction circuits, such as superconducting quantum interference devices (SQUIDs) and single-flux-quantum (SFQ) circuits, have been applied in both analog and digital systems for their ultralow-noise, high-speed, and…

Superconductivity · Physics 2023-07-07 Yongliang Wang

This paper proposes a necessary condition for power flow insolvability in power distribution systems with distributed generators (DGs). We show that the proposed necessary condition indicates the impending singularity of the Jacobian matrix…

Optimization and Control · Mathematics 2020-12-16 Zhaoyu Wang , Bai Cui , Jianhui Wang

Dynamic state and parameter estimation methods for dynamic security assessment in power systems are becoming increasingly important for system operators. Usually, the data used for this type of applications stems from phasor measurement…

Systems and Control · Electrical Eng. & Systems 2022-09-01 Nicolai Lorenz-Meyer , René Suchantke , Johannes Schiffer

Capacity expansion models for the electric power system often employ zonal (rather than nodal) resolution, necessitating estimates of aggregate power transfer limits across the interfaces between model zones. Interface limits between…

Systems and Control · Electrical Eng. & Systems 2023-08-08 Patrick R. Brown , Clayton P. Barrows , Jarrad G. Wright , Gregory L. Brinkman , Sourabh Dalvi , Jiazi Zhang , Trieu Mai

The DC Power Flow approximation has been widely used for decades in both industry and academia due to its computational speed and simplicity, but suffers from inaccuracy, in part due to the assumption of a lossless network. Here we present…

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

This paper presents a quantum-enhanced optimization approach for solving optimal power flow (OPF) by integrating the interior point method (IPM) with a coherent variational quantum linear solver (CVQLS). The objective is to explore the…

Quantum Physics · Physics 2025-08-29 Farshad Amani , Amin Kargarian

We propose a novel method for the estimation of rotor position, speed, and torque of a motor-pump system consisting of a progressive cavity pump (PCP) driven by an induction motor which operates under V/f open-loop control. We compute the…

Systems and Control · Electrical Eng. & Systems 2020-10-09 Yashar Kouhi , Jens Müller , Sebastian Leonow , Martin Mönnigmann
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