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The growing use of inverter-based resources in modern power systems has made grid-following inverters a central topic in power-system modeling, control, and simulation. Despite their widespread deployment, introductory material that…

Systems and Control · Electrical Eng. & Systems 2026-03-20 Muhammad Hamza Ali , Amritanshu Pandey

This paper discusses the modeling of inverters used in distributed energy resources in steady state. Modeling the interaction between distribution grids and inverter-based resources is crucial to understand the consequences for the…

Optimization and Control · Mathematics 2024-03-13 Rahmat Heidari , Frederik Geth

Inverter-based microgrids are an important technology for sustainable electrical power systems and typically use droop-controlled grid-forming inverters to interface distributed energy resources to the network and control the voltage and…

Optimization and Control · Mathematics 2020-03-12 Yemi Ojo , Jeremy Watson , Ioannis Lestas

This paper outlines reduced-order models for grid-forming virtual-oscillator-controlled inverters with nested current- and voltage-control loops, and current-limiting action for over-current protection. While a variety of model-reduction…

Systems and Control · Electrical Eng. & Systems 2021-05-24 Olaoluwapo Ajala , Minghui Lu , Brian Johnson , Sairaj Dhople , Alejandro Domínguez-García

With massive penetrations of active grid-edge technologies, distributed computing and optimization paradigm has gained significant attention to solve distribution-level optimal power flow (OPF) problems. However, the application of generic…

Systems and Control · Electrical Eng. & Systems 2022-05-23 Rabayet Sadnan , Anamika Dubey

Synchronous generators and inverter-based resources are complex systems with dynamics that cut across multiple intertwined physical domains and control loops. Modeling individual generators and inverters is, in itself, a very involved…

Systems and Control · Electrical Eng. & Systems 2022-07-26 D. Venkatramanan , Manish K. Singh , Olaolu Ajala , Alejandro Dominguez-Garcia , Sairaj Dhople

With an increasing share of renewable energy sources, accurate and efficient modeling of grid-forming inverters is becoming crucial for system stability. Linear methods are a powerful tool for understanding dynamics close to an operating…

Systems and Control · Electrical Eng. & Systems 2025-06-30 Jakob Niehues , Anna Büttner , Anne Riegler , Frank Hellmann

Power electronic converters for integrating renewable energy resources into power systems can be divided into grid-forming and grid-following inverters. They possess certain similarities, but several important differences, which means that…

Systems and Control · Electrical Eng. & Systems 2022-01-28 Yitong Li , Yunjie Gu , Timothy C. Green

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

The electric power system is witnessing a shift in the technology of generation. Conventional thermal generation based on synchronous machines is gradually being replaced by power electronics interfaced renewable generation. This new mode…

Optimization and Control · Mathematics 2020-01-24 Bala Kameshwar Poolla , Dominic Groß , Florian Dörfler

This document contains extended mathematical derivations for the communication-free and model-free algorithms that can actively control converter-connected devices, and can operate either as stand-alone or in combination with centralized…

Systems and Control · Electrical Eng. & Systems 2022-08-30 Ilgiz Murzakhanov , Spyros Chatzivasileiadis

Quantifying the impact of inverter-based distributed generation (DG) sources on power-flow distribution system cases is arduous. Existing distribution system tools predominately model distributed generation sources as either negative PQ…

Systems and Control · Electrical Eng. & Systems 2021-07-12 Naeem Turner-Bandele , Amritanshu Pandey , Larry Pileggi

As power systems evolve with the integration of renewable energy sources and the implementation of smart grid technologies, there is an increasing need for flexible and scalable modeling approaches capable of accurately capturing the…

Systems and Control · Electrical Eng. & Systems 2025-11-06 Amir Bahador Javadi , Philip Pong

DC microgrids are converter-based electrical networks that are increasingly being used in various applications, including data centers and industrial distribution systems. A central challenge in their operation is maintaining the DC-bus…

Systems and Control · Electrical Eng. & Systems 2026-04-30 Jovan Krajacic , Ognjen Stanojev , Mario Schweizer , Orcun Karaca , Gabriela Hug , Vladan Lazarević

Low-order frequency response models for power systems have a decades-long history in optimization and control problems such as unit commitment, economic dispatch, and wide-area control. With a few exceptions, these models are built upon the…

Systems and Control · Electrical Eng. & Systems 2025-11-10 Marena Trujillo , Amir Sajadi , Bri-Mathias Hodge

This paper develops a hybrid system modeling framework for inverters that switch between grid-following and grid-forming control schemes. In particular, such inverters are modeled as hybrid automata with guard conditions on voltage and…

Systems and Control · Electrical Eng. & Systems 2025-11-19 Bukunmi G. Odunlami , Marcos Netto

The integration of power electronic converters (PECs) and distributed energy resources (DERs) in modern power systems has introduced dynamism and complexity. Accurate simulation becomes essential to comprehend the influence of converter…

With the rapid adoption of emerging inverter-based resources, it is crucial to understand their dynamic interactions across the network and ensure stability. This paper proposes a systematic and efficient method to determine the optimal…

Systems and Control · Electrical Eng. & Systems 2024-12-23 Sushobhan Chatterjee , Sijia Geng

Smart inverters have been advocated as a fast-responding mechanism for voltage regulation in distribution grids. Nevertheless, optimal inverter coordination can be computationally demanding, and preset local control rules are known to be…

Optimization and Control · Mathematics 2019-09-26 Mana Jalali , Vassilis Kekatos , Nikolaos Gatsis , Deepjyoti Deka

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
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