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A novel power consensus algorithm for DC microgrids is proposed and analyzed. DC microgrids are networks composed of DC sources, loads, and interconnecting lines. They are represented by differential-algebraic equations connected over an…

Optimization and Control · Mathematics 2026-01-13 Claudio De Persis , Erieke Weitenberg , Florian Dorfler

As power systems evolve with the increasing integration of renewable energy sources and smart grid technologies, there is a growing demand for flexible and scalable modeling approaches capable of capturing the complex dynamics of modern…

Systems and Control · Electrical Eng. & Systems 2025-04-08 Amir Bahador Javadi , Philip Pong

This paper presents a modified model predictive control (MPC) framework for real-time power system operation. The framework incorporates a diffusion model tailored for time series generation to enhance the accuracy of the load forecasting…

Systems and Control · Electrical Eng. & Systems 2025-05-16 Linna Xu , Yongli Zhu

In this note we address the problem of indirect adaptive (regulation or tracking) control of nonlinear, input affine dissipative systems. It is assumed that the supply rate, the storage and the internal dissipation functions may be…

Systems and Control · Electrical Eng. & Systems 2022-01-19 Romeo Ortega , Rafael Cisneros , Lei Wang , Arjan van der Schaft

We propose a framework employing stochastic differential equations to facilitate the long-term stability analysis of power grids with intermittent wind power generations. This framework takes into account the discrete dynamics which play a…

Systems and Control · Computer Science 2017-03-10 Xiaozhe Wang , Tao Wang , Hsiao-Dong Chiang , Jianhui Wang , Hui Liu

First we present an approach to formulate unbalanced three-phase power flow problems for general networks that explicitly separates device models and network models. A device model consists of (i) an internal model and (ii) a conversion…

Optimization and Control · Mathematics 2022-07-27 Steven H. Low

Renewables will soon dominate energy production in our electric power system. And yet, how to integrate renewable energy into the grid and the market is still a subject of major debate. Decentral Smart Grid Control (DSGC) was recently…

Adaptation and Self-Organizing Systems · Physics 2016-10-31 Benjamin Schäfer , Carsten Grabow , Sabine Auer , Jürgen Kurths , Dirk Witthaut , Marc Timme

Deterministic model predictive control (MPC), while powerful, is often insufficient for effectively controlling autonomous systems in the real-world. Factors such as environmental noise and model error can cause deviations from the expected…

Optimization and Control · Mathematics 2024-07-29 Alex Oshin , Hassan Almubarak , Evangelos A. Theodorou

In distribution systems, power injection variability due to growing penetrations of distributed energy resources (DERs) and dispatchable loads can lead to power quality issues such as severe voltage unbalance. To ensure the safe operation…

Optimization and Control · Mathematics 2019-12-05 Bowen Li , Bai Cui , Feng Qiu , Daniel K. Molzahn

The coordination of cascading hydropower systems represents a fundamental challenge in modern energy systems engineering, requiring a sophisticated balance between multi-reservoir physics, stringent environmental regulations, and dynamic…

Optimization and Control · Mathematics 2026-04-27 Quentin Ploussard , Lukas Livengood , Slaven Kincic

The increasing integration of renewable energy, particularly offshore wind, introduces significant uncertainty into hybrid AC-HVDC systems due to forecast errors and power fluctuations. Conventional control strategies typically rely on…

Systems and Control · Electrical Eng. & Systems 2025-10-30 Hongjin Du , Rahul Rane , Weijie Xia , Pedro P. Vergara , Aleksandra Lekić

In this paper we investigate how the equilibrium characteristics of conventional power systems may change with an increase in wind penetration. We first derive a differential-algebraic model of a power system network consisting of…

Systems and Control · Computer Science 2014-09-30 Souvik Chandra , Dhagash Mehta , Aranya Chakrabortty

This paper establishes a sufficient condition for guaranteeing power flow solvability in distribution grids with inverter-based resources (IBRs) operating under IEEE 1547 compliant Volt-Var control. While designed to improve voltage…

Systems and Control · Electrical Eng. & Systems 2026-04-21 Taha Saeed Khan , Hamidreza Nazaripouya

This work provides a design method for achieving a specified level of stability for inverter-based interconnected distributed generation. The stability of parallel connected distributed energy resources determined from a linearized…

Systems and Control · Computer Science 2016-11-17 Mahmood Saadeh , Roy McCann

This paper presents a cold-start linear branch flow model named modified DistFlow. In modified DistFlow, the active and reactive power are replaced by their ratios to voltage magnitude as state variables, so that errors introduced by…

Systems and Control · Electrical Eng. & Systems 2020-11-30 Tianshu Yang , Ye Guo , Lirong Deng , Hongbin Sun , Wenchuan Wu

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

Design, control, and estimation for dynamic systems require accurate and analytically tractable models. However, modern engineered systems contain components that are described with heterogeneous modeling paradigms, as well as subsystems…

Systems and Control · Electrical Eng. & Systems 2026-04-21 Leeroy Makusha , Preston Abadie , Donald J. Docimo

In this paper, we introduce a distributed control strategy to prevent dynamically-induced cascading failures in power grids. We model power grids using complex networks and nonlinear dynamics to provide a coarse-grained description of the…

Systems and Control · Electrical Eng. & Systems 2022-02-08 Mattia Frasca , Lucia Valentina Gambuzza

In this paper we consider a linear system structured into physically coupled subsystems and propose a decentralized control scheme capable to guarantee asymptotic stability and satisfaction of constraints on system inputs and states. The…

Systems and Control · Computer Science 2013-02-04 Stefano Riverso , Marcello Farina , Giancarlo Ferrari-Trecate

In many commercial and academic settings, numerical solvers fail to achieve their theoretical performance levels due to issues in the system definition, parameterization, and even implementation. We propose a pair of methods for detecting…

Numerical Analysis · Mathematics 2016-02-25 Matthew O. Williams , Teems E. Lovett
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