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相关论文: A Wirtinger Power Flow Jacobian Singularity Condit…

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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…

最优化与控制 · 数学 2020-12-16 Zhaoyu Wang , Bai Cui , Jianhui Wang

The stability issue emerges as a growing number of diverse power apparatus connecting to the power system. The stability analysis for such power systems is required to adapt to heterogeneity and scalability. This paper derives a local…

系统与控制 · 电气工程与系统科学 2019-08-05 Peng Yang , Feng Liu , Zhaojian Wang , Chen Shen , Jun Yi , Weifang Lin

We consider the problem of characterizing and assessing the voltage stability in power distribution networks. Different from previous formulations, we consider the branch-flow parametrization of the power system state, which is particularly…

最优化与控制 · 数学 2017-04-03 Liviu Aolaritei , Saverio Bolognani , Florian Dörfler

A simple characterization of the solvability of power flow equations is of great importance in the monitoring, control, and protection of power systems. In this paper, we introduce a sufficient condition for power flow Jacobian…

最优化与控制 · 数学 2020-12-16 Bai Cui , Xu Andy Sun

We consider the problem of quantifying and assessing the steady-state voltage stability in radial distribution networks. Our approach to the voltage stability problem is based on a local, approximate, and yet highly accurate…

最优化与控制 · 数学 2019-07-05 Liviu Aolaritei , Saverio Bolognani , Florian Dörfler

This letter proposes an AC/DC frequency-dependent power flow Jacobian analysis to identify the system support capabilities. In addition, the analyses reveal that system support capabilities do not necessarily enhance the system stability…

系统与控制 · 电气工程与系统科学 2025-12-09 Dongyeong Lee , Eros Avdiaj , Jef Beerten

For the nonlinear power flow problem specified with standard PQ, PV, and slack bus equality constraints, we present a sufficient condition under which the specified set of nonlinear algebraic equations has no solution. This sufficient…

最优化与控制 · 数学 2014-02-03 Daniel K. Molzahn , Bernard C. Lesieutre , Christopher L. DeMarco

This paper shows that a necessary and sufficient condition for the small-signal stability of an inverter-integrated power system can be expressed in terms of semidefinite matrix inequalities determined only by the synchronous reactance of…

系统与控制 · 电气工程与系统科学 2025-03-27 Taku Nishino , Yoshiyuki Onishi , Takayuki Ishizaki

Power flow calculation methods have been developed in decades using power injections and Newton-Raphson method. The nonlinear characteristics of the power flow to the bus voltage require Jacobian matrix reformation and refactorization in…

信号处理 · 电气工程与系统科学 2019-02-25 Renchang Dai , Xiang Zhang , Junjie Shi , Guangyi Liu , Chen Yuan , Zhiwei Wang

This paper derives distributed conditions that guarantee the system-wide stability for power systems with nonlinear and heterogeneous bus dynamics interconnected via power network. Our conditions require each bus dynamics should satisfy…

系统与控制 · 电气工程与系统科学 2019-10-31 Peng Yang , Feng Liu , Zhaojian Wang , Chen Shen

Voltage deviations occur frequently in power systems. If the violation at some buses falls outside the prescribed range, it will be necessary to correct the problem by controlling reactive power resources. In this paper, an optimal…

系统与控制 · 计算机科学 2017-08-28 Ali Dehghan Banadaki , Ali Feliachi

This paper considers unbalanced multiphase distribution systems with generic topology and different load models, and extends the Z-bus iterative load-flow algorithm based on a fixed-point interpretation of the AC load-flow equations.…

最优化与控制 · 数学 2018-04-04 Andrey Bernstein , Cong Wang , Emiliano Dall'Anese , Jean-Yves Le Boudec , Changhong Zhao

This paper examines small-signal stability of electrical networks composed dominantly of three-phase grid-following inverters. We show that the mere existence of a high-voltage power flow solution does not necessarily imply small-signal…

最优化与控制 · 数学 2020-05-22 Saber Jafarpour , Victor Purba , Sairaj V. Dhople , Brian Johnson , Francesco Bullo

With the increasing penetration of renewable energy sources, power system operation has to be adapted to ensure the system stability and security while considering the distinguished feature of the Power Electronics (PE) interfaced…

系统与控制 · 电气工程与系统科学 2021-12-07 Zhongda Chu , Fei Teng

We prove a weak-strong uniqueness principle for varifold-BV solutions to planar multiphase mean curvature flow beyond a circular topology change: Assuming that there exists a classical solution with an interface that becomes increasingly…

偏微分方程分析 · 数学 2024-04-04 Julian Fischer , Sebastian Hensel , Alice Marveggio , Maximilian Moser

Passivity indices have been widely adopted to derive distributed stability certificates for power systems. Nevertheless, conventional passivity indices remain scalar-valued even for multi-input-multi-output (MIMO) systems, which can…

系统与控制 · 电气工程与系统科学 2026-05-07 Xi Ru , Cong Fu , Zhongze Li , Xiaoyu Peng , Feng Liu

I find conditions under which the "Weak Energy Principle" of Katz, Inagaki and Yahalom (1993) gives necessary and sufficient conditions. My conclusion is that, necessary and sufficient conditions of stability are obtained when we have only…

天体物理学 · 物理学 2016-08-30 Asher Yahalom

The problem of regulating voltages within the required limits is complicated by the fact that power system supplies power to a vast number of loads and is fed from many generating units. As loads vary, reactive power requirements of the…

系统与控制 · 计算机科学 2018-08-08 Talha Iqbal , Ali Dehghan Banadaki , Ali Feliachi

Global stability of the systems has always been vital of importance; however, this concept has not yet been sufficiently developed for the nonlinear systems. This paper extends the Jacobian matrix so that this method be able to seek the…

系统与控制 · 电气工程与系统科学 2024-11-05 seyed Mohammad Hosseindokht , SamanehAlsadat Saeedinia

In distribution systems, power injection variability due to growing penetrations of distributed energy resources (DERs) and dispatchable loads can lead to power quality issues such as severe voltage unbalance. To ensure the safe operation…

最优化与控制 · 数学 2019-12-05 Bowen Li , Bai Cui , Feng Qiu , Daniel K. Molzahn
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