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This paper presents a novel control structure and control synthesis method for regulating the output voltage/frequency and power injection of DC-AC inverters. The traditional droop method offers attractive solution to achieve compromise…

Systems and Control · Electrical Eng. & Systems 2022-01-03 Alireza Askarian , Jaesang Park , Srinivasa Salapaka

Motivated by the recent and growing interest in smart grid technology, we study the operation of DC/AC inverters in an inductive microgrid. We show that a network of loads and DC/AC inverters equipped with power-frequency droop controllers…

Optimization and Control · Mathematics 2017-09-21 John W. Simpson-Porco , Florian Dörfler , Francesco Bullo

The energy mix of future power systems will include high shares of wind power and solar PV. These generation facilities are generally connected via power-electronic inverters. While conventional generation responds dynamically to the state…

Systems and Control · Electrical Eng. & Systems 2023-03-31 Philipp C. Böttcher , Leonardo Rydin Gorjão , Dirk Witthaut

We consider the problem of voltage stability and reactive power balancing in islanded small-scale electrical networks outfitted with DC/AC inverters ("microgrids"). A droop-like voltage feedback controller is proposed which is quadratic in…

Optimization and Control · Mathematics 2017-09-21 John W. Simpson-Porco , Florian Dorfler , Francesco Bullo

A microgrid is a new concept that has changed the power systems dramatically. It is a combination of Distributed Generation Resources (DGR) like Biomass, PV systems, Wind energy, Fuel cell, Diesel Generator, and so on with different types…

Systems and Control · Electrical Eng. & Systems 2020-07-01 Khodakhast Nasirian , Hadi Taheri

An islanded microgrid supplied by multiple distributed energy resources (DERs) often employs droop-control mechanisms for power sharing. Because microgrids do not include inertial elements, and low pass filtering of noisy measurements…

Systems and Control · Electrical Eng. & Systems 2019-07-05 Abdullah Al Maruf , Mohammad Ostadijafari , Anamika Dubey , Sandip Roy

Grid-forming, particularly those utilizing droop control and virtual synchronous generators (VSG), can actively regulate the frequency and voltage of microgrid systems, exhibiting dynamic characteristics akin to those of synchronous…

Systems and Control · Electrical Eng. & Systems 2025-05-13 Yan Tong , Qin Wang , Aihong Tang

This paper presents an improved droop control method to ensure effective power sharing, voltage regulation, and frequency stabilization of inverter-based resources (IBRs) connected in parallel in an islanded AC microgrid. In the…

Optimization and Control · Mathematics 2024-07-31 Ayobami Olajube , Koto Omiloli , Satish Vedula , Olugbenga Anubi

This paper presents a new distributed control framework to coordinate inverter-interfaced distributed energy resources (DERs) in island microgrids. We show that under bounded load uncertainties, the proposed control method can steer the…

Optimization and Control · Mathematics 2018-02-09 Chin-Yao Chang , Wei Zhang

A network-level small-signal model is developed for lossy microgrids, which considers coupled angle and voltage dynamics of inverter-based microgrids and uses a more general framework of droop controls in the inverter. It is shown that when…

Systems and Control · Electrical Eng. & Systems 2024-04-08 Abdullah Al Maruf , Anamika Dubey , Sandip Roy

This paper investigates the performance of a microgrid with droop-controlled inverters in terms of the total power losses incurred in maintaining synchrony under persistent small disturbances. The inverters are modeled with variable…

Optimization and Control · Mathematics 2016-02-01 Emma Tegling , Dennice F. Gayme , Henrik Sandberg

Due to the rise of distributed energy resources, the control of networks of grid-forming inverters is now a pressing issue for power system operation. Droop control is a popular control strategy in the literature for frequency control of…

Systems and Control · Electrical Eng. & Systems 2020-09-08 Kevin D. Smith , Saber Jafarpour , Francesco Bullo

Autonomous droop control PV inverters have improved voltage regulation compared to the inverters without grid support functions, but more flexible control techniques will be required as the number of solar photovoltaic (PV) installations…

Systems and Control · Electrical Eng. & Systems 2020-06-24 Peter Lusis , Lachlan L. H. Andrew , Ariel Liebman , Guido Tack

Nonlinear oscillators are commonly encountered in a wide range of physical and engineering systems, exhibiting rich and complex dynamics. Among these, the Van der Pol oscillator is well known for its self-sustained limit cycle behavior.…

Chaotic Dynamics · Physics 2025-11-17 Samaira Tibrewal , Soumyajit Seth

Advanced microgrids consisting of distributed energy resources interfaced with multi-inverter systems are becoming more common. Consequently, the effectiveness of voltage and frequency regulation in microgrids using conventional droop-based…

Systems and Control · Electrical Eng. & Systems 2020-03-16 Sourav Patel , Soham Chakraborty , Blake Lundstrom , Srinivasa Salapaka , Murti V. Salapaka

We consider the problem of stability analysis for distribution grids with droop-controlled inverters and dynamic distribution power lines. The inverters are modeled as voltage sources with controllable frequency and amplitude. This problem…

Systems and Control · Electrical Eng. & Systems 2020-03-27 Stefanos Baros , Christoforos N. Hadjicostis , Francis O'Sullivan

The paper revisits recently revealed regimes of the "nonconventional synchronization" in systems of coupled bi-stable Van der Pol oscillators. These regimes are characterized by periodic (or quasiperiodic) almost complete energy exchanges…

Pattern Formation and Solitons · Physics 2021-02-03 I. B. Shiroky , O. V. Gendelman

This paper studies enhanced droop-free control strategies with sparse neighboring communication for achieving effective active power sharing of distributed energy resources (DERs) while maintaining the frequency stability of islanded…

Systems and Control · Electrical Eng. & Systems 2026-03-05 Weipeng Liu , Upendra Prasad , Yutian Liu , Yong Dong , Haoran Zhao , Lei Wu

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

The stability of inverter-dominated power grids remains an active area of research. This paper presents novel sufficient conditions for ensuring small-signal stability in lossless and constant $R/X$ grids with highly heterogeneous mixes of…

Optimization and Control · Mathematics 2025-07-03 Jakob Niehues , Robin Delabays , Anna Büttner , Frank Hellmann
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