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Proportional-Integral-Derivative (PID) control has been the workhorse of control technology for about a century. Yet to this day, designing and tuning PID controllers relies mostly on either tabulated rules (Ziegler-Nichols) or on classical…

Optimization and Control · Mathematics 2023-11-21 Qi Mao , Yong Xu , Jianqi Chen , Jie Chen , Tryphon Georgiou

This work establishes the equivalence of selected grid-forming control algorithms within the context of simplified theoretical models. Considered algorithms are droop control, Virtual Synchronous Machine (VSM) and matching control. It is…

Systems and Control · Electrical Eng. & Systems 2023-12-01 Aidar Zhetessov

With increased attention on grid-forming inverters as a power system stabilizing device during periods of high shares of inverter-based resource operations, there is a present need for a transparent and rigorous investigation of the…

Systems and Control · Electrical Eng. & Systems 2022-10-11 Rick Wallace Kenyon , Amirhossein Sajadi , Matt Bossart , Andy Hoke , Bri-Mathias Hodge

This work addresses the problem of transient stabilization of a power grid, following a destabilizing disturbance. The model considered is the cascade interconnection of seven New England test models with the disturbance (e.g., a powerline…

Optimization and Control · Mathematics 2018-03-29 Milan Korda , Yoshihiko Susuki , Igor Mezić

The problem of primary control of high-voltage direct current transmission systems is addressed in this paper, which contains four main contributions. First, to propose a new nonlinear, more realistic, model for the system suitable for…

Systems and Control · Computer Science 2017-03-21 Daniele Zonetti , Romeo Ortega , Johannes Schiffer

The control of complex systems and network-coupled dynamical systems is a topic of vital theoretical importance in mathematics and physics with a wide range of applications in engineering and various other sciences. Motivated by recent…

Adaptation and Self-Organizing Systems · Physics 2015-08-24 Per Sebastian Skardal , Alex Arenas

In this paper the stability of a closed-loop cascade control system in the trajectory tracking task is addressed. The considered plant consists of underlying second-order fully actuated perturbed dynamics and the first order system which…

Systems and Control · Electrical Eng. & Systems 2020-02-05 Radosław Patelski , Dariusz Pazderski

In this work, we investigate grid-forming (GFM) control for dc/ac voltage source converters (VSC) under unbalanced system conditions and unbalanced faults. To fully leverage the degrees of freedom of VSCs, we introduce the concept of…

Systems and Control · Electrical Eng. & Systems 2023-07-31 Prajwal Bhagwat , Dominic Groß

This paper studies a power transmission system with both conventional generators (CGs) and distributed energy assets (DEAs) providing frequency control. We consider an operating condition with demand aggregating two dynamic components: one…

Optimization and Control · Mathematics 2025-07-02 Mahmoud Abdelgalil , Vishal Shenoy , Guido Cavraro , Emiliano Dall'Anese , Jorge I. Poveda

We propose a stability analysis method for sampled-data switched linear systems with finite-level static quantizers. In the closed-loop system, information on the active mode of the plant is transmitted to the controller only at each…

Systems and Control · Computer Science 2015-09-03 Masashi Wakaiki , Yutaka Yamamoto

The paper discusses fast frequency control in bulk power systems using embedded networks of grid-forming energy storage resources. Differing from their traditional roles of regulating reserves, the storage resources in this work operate as…

Systems and Control · Electrical Eng. & Systems 2024-10-22 Kaustav Chatterjee , Ramij Raja Hossain , Sai Pushpak Nandanoori , Soumya Kundu , Diane Baldwin , Ronald Melton

Under asymmetrical faults, analyzing the transient stability of grid-forming voltage-source converters (GFM-VSCs) becomes essential because their behavior fundamentally differs from that under symmetrical faults. When current limiting is…

Systems and Control · Electrical Eng. & Systems 2025-11-20 Seongyeon Kim , Ki-Hyun Kim , Shenghui Cui , Jae-Jung Jung

This paper investigates transient performance of inverter-based microgrids in terms of the resistive power losses incurred in regulating frequency under persistent stochastic disturbances. We model the inverters as second-order oscillators…

Optimization and Control · Mathematics 2016-03-22 Emma Tegling , Martin Andreasson , John W. Simpson-Porco , Henrik Sandberg

Design-oriented boundary conditions for subharmonic oscillations are of great interest recently. Based on a subharmonic oscillation boundary condition reported in a PhD thesis more than a decade ago, extended new boundary conditions are…

Systems and Control · Computer Science 2015-08-11 Chung-Chieh Fang

The renewable energy is connected to the power grid through power electronic converters, which are lack of make the inertia of synchronous generator/machine (SM) be lost. The increasing penetration of renewable energy in power system…

Systems and Control · Electrical Eng. & Systems 2020-09-15 Yuan Gao , Hai-Peng Ren , Jie Li

In this paper we propose a model predictive control scheme for constrained fractional-order discrete-time systems. We prove that all constraints are satisfied at all time instants and we prescribe conditions for the origin to be an…

Optimization and Control · Mathematics 2016-06-16 Pantelis Sopasakis , Haralambos Sarimveis

We analyze in this paper the effect of the well known intelligent proportional controller on the stability of linear control systems. Inspired by the literature on neutral time delay systems and advanced type systems, we derive sufficient…

Optimization and Control · Mathematics 2023-09-14 Mohamed Camil Belhadjoudja , Mohamed Maghenem , Emmanuel Witrant

We study the stability properties of a control system composed of a dynamical plant and a feedback controller, the latter generating control signals that can be compromised by a malicious attacker. We consider two classes of feedback…

Optimization and Control · Mathematics 2023-12-19 Felipe Galarza-Jimenez , Gianluca Bianchin , Jorge I. Poveda , Emiliano Dall'Anese

Multi-terminal high-voltage Direct Current technology based on Voltage-Source Converter stations (VSC-MTDC) is expected to be one of the most important contributors to the future of electric power systems. In fact, among other features, it…

Systems and Control · Electrical Eng. & Systems 2022-08-02 Javier Renedo , Luis Rouco , Aurelio Garcia-Cerrada , Lukas Sigrist

Inspired by the kinetics of wave phenomena in reaction-diffusion models of biological systems, we propose a novel grid-forming control strategy for control of three-phase DC/AC converters in power systems. The ($\lambda-\omega$) virtual…

Optimization and Control · Mathematics 2020-12-22 Taouba Jouini , Emma Tegling , Zhiyong Sun