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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

Microgrids are increasingly recognized as a key technology for the integration of distributed energy resources into the power network, allowing local clusters of load and distributed energy resources to operate autonomously. However,…

Optimization and Control · Mathematics 2021-06-22 Jeremy Watson , Yemi Ojo , Khaled Laib , Ioannis Lestas

Grid-forming inverter-based autonomous microgrids present new operational challenges as the stabilizing rotational inertia of synchronous machines is absent. The design of efficient control policies for grid-forming inverters is, however, a…

Optimization and Control · Mathematics 2023-01-18 Yemi Ojo , Jeremy D. Watson , Khaled Laib , Ioannis Lestas

This paper addresses the problem of output voltage regulation for multiple DC/DC converters connected to a microgrid, and prescribes a scheme for sharing power among different sources. This architecture is structured in such a way that it…

Optimization and Control · Mathematics 2017-01-12 Mayank Baranwal , Alireza Askarian , Srinivasa M. Salapaka

With the gradual transformation of power generation towards renewables, distributed energy resources are becoming more and more relevant for grid stabilization. In order to involve all participants in the joint solution of this challenging…

Optimization and Control · Mathematics 2019-12-18 Lukas Kölsch , Katharina Wieninger , Stefan Krebs , Sören Hohmann

Due to the increasing popularity of DC loads and the potential for higher efficiency, DC microgrids are gaining significant attention. DC microgrids utilize multiple parallel converters to deliver sufficient power to the load. However, a…

Systems and Control · Electrical Eng. & Systems 2024-06-12 Naser Souri , Ali Mehrizi-Sani

This paper studies the stability of voltage dynamics for a power network in which nodal voltages are controlled by means of quadratic droop controllers with nonlinear AC reactive power as inputs. We show that the voltage dynamics is a…

Systems and Control · Computer Science 2018-01-31 Matin Jafarian , Henrik Sandberg , Karl H. Johansson

Modern low-carbon power systems come with many challenges, such as increased inverter penetration and increased uncertainty from renewable sources and loads. In this context, the microgrid concept is a promising approach, which is based on…

Systems and Control · Electrical Eng. & Systems 2025-06-19 E. D. Gomez Anccas , C. A. Hans , D. Schulz

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

Voltage stability is a critical feature of an efficiently operating power distribution system such as a DC islanded microgrid. Large-scale autonomous power systems can be defined by heterogeneous elements, uncertainty and changing…

Systems and Control · Computer Science 2018-03-21 Daniel O'Keeffe , Stefano Riverso , Laura Albiol-Tendillo , Gordon Lightbody

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

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

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

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

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

Reactive power sharing and containment of voltages within limits for inverter-based resources (IBRs) are two important, yet coupled objectives in ac networks. In this article, we propose a distributed control technique to simultaneously…

Systems and Control · Electrical Eng. & Systems 2023-08-29 Babak Abdolmaleki , John W. Simpson-Porco , Gilbert Bergna-Diaz

In inverse optimal control, the optimality of a given feedback stabilizing controller is a byproduct of the choice of a meaningful, a posteriori defined, cost functional. This allows for a simple tuning comparable to linear quadratic…

Optimization and Control · Mathematics 2023-05-30 Taouba Jouini , Anders Rantzer , Emma Tegling

Power systems with a high penetration of renewable generation are vulnerable to frequency oscillation and voltage instability. Traditionally, the stability of power systems is considered either in terms of local stability or as an angle…

Systems and Control · Electrical Eng. & Systems 2025-07-31 Xinyuan Jiang , Constantino M. Lagoa , Daning Huang , Yan Li

In this work we present new distributed controllers for secondary frequency and voltage control in islanded microgrids. Inspired by techniques from cooperative control, the proposed controllers use localized information and nearest-neighbor…

Optimization and Control · Mathematics 2017-09-21 John W. Simpson-Porco , Qobad Shafiee , Florian Dorfler , Juan C. Vasquez , Josep M. Guerrero , Francesco Bullo

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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