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In this paper, we introduce a method to optimally estimate time-varying frequency bias. Current industry practice is to assume that frequency bias is changing only on annual basis. We suggest that this improved time-dependent bias estimate…

Systems and Control · Electrical Eng. & Systems 2023-02-08 Miroslav Kosanic , Marija Ilic , Daniel Baker , Harvey Scribner , Casey Cathey

Recently, frequency security is challenged by high uncertainty and low inertia in power system with high penetration of Renewable Energy Sources (RES). In the context of Unit Commitment (UC) problems, frequency security constraints…

Systems and Control · Electrical Eng. & Systems 2023-08-22 Zhuoxuan Li , Zhongda Chu , Fei Teng

As the energy transition transforms power grids across the globe, it poses several challenges regarding grid design and control. In particular, high levels of intermittent renewable generation complicate the task of continuously balancing…

Optimization and Control · Mathematics 2018-08-07 Randall Martyr , Benjamin Schaefer , Christian Beck , Vito Latora

Grid-forming (GFM) converters are generally expected to exhibit low impedance near the fundamental frequency due to their voltage-source behavior. However, an impedance peak and a negative-resistance region are consistently observed in this…

Systems and Control · Electrical Eng. & Systems 2026-05-19 Chao Wu , Jinhao Wang , Yong Wang , Changjiang Zhan , Frede Blaabjerg

In this paper, we introduce Voltage Phasor Control (VPC), also known as Phasor Based Control, as a novel way of implementing Optimal Power Flow (OPF). Unlike conventional OPF, in which the power flow optimization broadcasts power…

Systems and Control · Electrical Eng. & Systems 2022-01-19 Keith Moffat , Alexandra von Meier

Regulating the voltage of the common DC bus, also referred to as the load bus, in DC microgrids is crucial for ensuring reliability and maintaining the nominal load voltage, which is essential for protecting sensitive loads from voltage…

Systems and Control · Electrical Eng. & Systems 2024-11-12 Nabil Mohammed , Shehab Ahmed , Charalambos Konstantinou

This paper proves that in an unbalanced multi-phase network with a tree topology, the semidefinite programming relaxation of optimal power flow problems is exact when critical buses are not adjacent to each other. Here a critical bus either…

Optimization and Control · Mathematics 2020-09-15 Fengyu Zhou , Yue Chen , Steven H. Low

We propose a mathematical framework for designing robust networks of coupled phase-oscillators by leveraging a vulnerability measure proposed by Tyloo et. al that quantifies how much a small perturbation to a phase-oscillator's natural…

Optimization and Control · Mathematics 2023-08-14 Shriya V. Nagpal , Gokul G. Nair , Francesca Parise , C. Lindsay Anderson

To implement controllable loads for frequency regulation in transmission networks in a practical way, the control scheme needs to be granulated down at least to subtransmission networks since loads in transmission networks are usually the…

Optimization and Control · Mathematics 2018-06-12 Congchong Zhang , Tao Liu , David J. Hill

The dynamics of power grids are governed by a large number of nonlinear differential and algebraic equations (DAEs). To safely operate the system, operators need to check that the states described by these DAEs stay within prescribed limits…

Systems and Control · Electrical Eng. & Systems 2023-02-01 Wenqi Cui , Weiwei Yang , Baosen Zhang

Distributed secondary frequency control for power systems, is a problem that has been extensively studied in the literature, and one of its key features is that an additional communication network is required to achieve optimal power…

Optimization and Control · Mathematics 2023-12-05 Mengmou Li , Jeremy Watson , Ioannis Lestas

Oscillations in a power system can be categorized into free oscillations and forced oscillations. Many algorithms have been developed to estimate the modes of free oscillations in a power system. Recently, forced oscillations caught many…

Systems and Control · Computer Science 2017-01-31 Mohammadreza Ghorbaniparvar

Learning models or control policies from data has become a powerful tool to improve the performance of uncertain systems. While a strong focus has been placed on increasing the amount and quality of data to improve performance, data can…

Systems and Control · Electrical Eng. & Systems 2024-10-02 Ralf Römer , Lukas Brunke , Siqi Zhou , Angela P. Schoellig

We investigate the sensitivity of the transient performance of power systems controlled by Distributed Power-Imbalance Allocation Control (DPIAC) on the parameters of the control law. We model the disturbances at power loads as Gaussian…

Optimization and Control · Mathematics 2021-03-09 Kaihua Xi , Hai Xiang Lin , Jan H. van Schuppen

A rapid deployment of renewable generation has led to significant reduction in the rotational system inertia and damping, thus making frequency control in power systems more challenging. This paper proposes a novel control scheme based on…

Systems and Control · Electrical Eng. & Systems 2020-04-07 Ognjen Stanojev , Uros Markovic , Petros Aristidou , Gabriela Hug , Duncan Callaway , Evangelos Vrettos

Many important complex networks, including critical infrastructure and emerging industrial automation systems, are becoming increasingly intricate webs of interacting feedback control loops. A fundamental concern is to quantify the control…

Optimization and Control · Mathematics 2017-07-17 Tyler Summers , Justin Ruths

In power systems with high penetration of power electronics, grid-forming control is proposed to replace traditional Grid-Following Converter (GFL) in order to improve the overall system strength and resist small-signal instability in weak…

Systems and Control · Electrical Eng. & Systems 2023-07-31 Guoxuan Cui , Zhongda Chu , Fei Teng

Voltage control plays an important role in the operation of electricity distribution networks, especially when there is a large penetration of renewable energy resources. In this paper, we focus on voltage control through reactive power…

Optimization and Control · Mathematics 2016-06-28 Guannan Qu , Na Li , Munther Dahleh

The integration of renewables gradually replaces the traditional power plants, and this makes that the rotational inertia provided by the power plants is decreasing with time. Virtual inertia emulated by power electronic devices is becoming…

Optimization and Control · Mathematics 2019-03-12 Shuchang Yan

Fundamental sensor feedback limitations for improving rotor angle stability using local frequency or phase angle measurement are derived. Using a two-machine power system model, it is shown that improved damping of inter-area oscillations…

Systems and Control · Electrical Eng. & Systems 2021-08-13 Joakim Björk , Danilo Obradović , Lennart Harnefors , Karl Henrik Johansson