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This paper considers the problem of reachability analysis of control systems with optimal controllers, as a first step towards verifying the safety and correctness of such systems. Despite their appeal in guaranteeing task satisfaction…

Systems and Control · Electrical Eng. & Systems 2026-04-20 Dylan Le , Joel McCandless , Carlos Varela , Radoslav Ivanov

The rapidly transforming electric power distribution system due to the integration of distributed energy resources(DERs) specifically roof-top photovoltaic (PV) generation may lead to significant operational challenges. In this paper, we…

Optimization and Control · Mathematics 2019-12-10 Rahul Ranjan Jha , Anamika Dubey

This paper presents a novel direct-injection modular universal power flow and quality control topology exclusively using lower power components. In addition to conventional high-voltage applications, it is particularly attractive for the…

Systems and Control · Electrical Eng. & Systems 2023-11-06 Mowei Lu , Mengjie Qin , Jan Kacetl , Eeshta Suresh , Teng Long , Stefan M. Goetz

In this paper, we investigate the control of inverter-based resources (IBRs) for optimal voltage unbalance attenuation (OVUA). This problem is formulated as an optimization program under a tailored dq-frame, which minimizes the…

Systems and Control · Electrical Eng. & Systems 2021-09-24 Yifei Guo , Bikash C. Pal , Rabih A. Jabr

In the last decade, the integration of Renewable Energy Sources (RES) in distribution networks has been constantly increasing due to their many technical, economical, and environmental benefits. However, the large-scale penetration of RESs…

Optimization and Control · Mathematics 2022-04-13 H. Sekhavatmanesh , G. Ferrari-Trecate , S. Mastellone

This paper presents a \textit{physics-based} steady-state equivalent circuit model of a two-stage bidirectional inverter. These inverters connect distributed energy resources (DERs), such as photovoltaic (PV) and battery systems, to…

Systems and Control · Electrical Eng. & Systems 2026-01-21 Emmanuel O. Badmus , Amritanshu Pandey

Feedback optimization is a control paradigm that enables physical systems to autonomously reach efficient operating points. Its central idea is to interconnect optimization iterations in closed-loop with the physical plant. Since iterative…

Optimization and Control · Mathematics 2024-07-16 Zhiyu He , Saverio Bolognani , Jianping He , Florian Dörfler , Xinping Guan

Large-scale AI model training workloads use thousands of GPUs operating in tightly synchronized loops. During synchronous communication, start-up, shut-down, and checkpointing, GPU power consumption can swing from peak to idle within…

Hardware Architecture · Computer Science 2026-04-20 Dillon Jensen , Obi Nnorom , Grant Wilkins , Hugo Budd , Ram Rajagopal , Juan Rivas-Davila , Phil Levis

In this paper, we analytically study the transient stability of grid-connected converters with grid-forming complex droop control, also known as dispatchable virtual oscillator control. We prove theoretically that complex droop control, as…

Systems and Control · Electrical Eng. & Systems 2024-05-24 Xiuqiang He , Linbin Huang , Irina Subotić , Verena Häberle , Florian Dörfler

This paper presents a distributed frequency control method for power grids with high penetration of inverter-connected resources under low and time-varying inertia due to renewable energy (RE). We provide a distributed virtual inertia (VI)…

Systems and Control · Electrical Eng. & Systems 2022-09-20 Manasa Muralidharan , Jan Kleissl , Patricia Hidalgo-Gonzalez

Grid-forming (GFM) converters face significant challenges in limiting current during transient grid events while preserving their grid-forming behavior. This paper offers an elegant solution to the problem with a priori guarantees,…

Systems and Control · Electrical Eng. & Systems 2025-03-14 Michael Schneeberger , Silvia Mastellone , Florian Dörfler

In this paper we study theoretical properties of inverter-based microgrids controlled via primary and secondary loops. Stability of these microgrids has been the subject of a number of recent studies. Conventional approaches based on…

Systems and Control · Computer Science 2014-09-17 Rahmat Heidari , Maria Seron , Julio Braslavsky

As electric power systems evolve towards decarbonization, the transition to inverter-based resources (IBRs) presents challenges to grid stability, necessitating innovative control solutions. Virtual synchronous generator (VSG) emerges as a…

Systems and Control · Electrical Eng. & Systems 2024-07-08 Jingzhe Xu , Weihua Zhou , Behrooz Bahrani

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

Knowing the connectivity and line parameters of the underlying electric distribution network is a prerequisite for solving any grid optimization task. Although distribution grids lack observability and comprehensive metering, inverters with…

Optimization and Control · Mathematics 2019-02-22 Guido Cavraro , Vassilis Kekatos

Transmission topology control is a tool used by system operators in the role of a control action taken into account as a preventive or corrective action relative to a specific outage or set of outages. However, their inclusion in most…

Systems and Control · Electrical Eng. & Systems 2021-03-30 Emily Little , Sandrine Bortolotti , Jean-Yves Bourmaud , Efthymios Karangelos , Yannick Perez

We consider the problem of grid-forming control of power converters in low-inertia power systems. Starting from an average-switch three-phase inverter model, we draw parallels to a synchronous machine (SM) model and propose a novel…

Optimization and Control · Mathematics 2018-04-27 Catalin Arghir , Taouba Jouini , Florian Dorfler

This paper presents a novel approach for the safe control design of systems with parametric uncertainties in both drift terms and control-input matrices. The method combines control barrier functions and adaptive laws to generate a safe…

Systems and Control · Electrical Eng. & Systems 2024-04-16 Yujie Wang , Xiangru Xu

Fast inverter control is a desideratum towards the smoother integration of renewables. Adjusting inverter injection setpoints for distributed energy resources can be an effective grid control mechanism. However, finding such setpoints…

Signal Processing · Electrical Eng. & Systems 2022-11-01 Mana Jalali , Manish K. Singh , Vassilis Kekatos , Georgios B. Giannakis , Chen-Ching Liu

A widely embraced approach to mitigate the dynamic degradation in low-inertia power systems is to mimic generation response using grid-connected inverters to restore the grid's stiffness. In this paper, we seek to challenge this approach…

Systems and Control · Electrical Eng. & Systems 2019-08-30 Yan Jiang , Richard Pates , Enrique Mallada
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