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In multi-state life insurance, an adequate balance between analytic tractability, computational efficiency, and statistical flexibility is of great importance. This might explain the popularity of Markov chain modelling, where matrix…

Probability · Mathematics 2024-04-25 Jamaal Ahmad , Mogens Bladt , Christian Furrer

The scheduling and schedulability analysis of real-time directed acyclic graph (DAG) task systems have received much recent attention. The DAG model can accurately represent intra-task parallelim and precedence constraints existing in many…

Operating Systems · Computer Science 2018-08-02 Zheng Dong , Cong Liu

This paper formulates a time-varying social-welfare maximization problem for distribution grids with distributed energy resources (DERs) and develops online distributed algorithms to identify (and track) its solutions. In the considered…

Optimization and Control · Mathematics 2019-07-19 Xinyang Zhou , Emiliano Dall'Anese , Lijun Chen , Andrea Simonetto

Distributed energy resources (DERs) such as grid-responsive loads and batteries can be harnessed to provide ramping and regulation services across the grid. This paper concerns the problem of optimal allocation of different classes of DERs,…

Systems and Control · Electrical Eng. & Systems 2024-05-07 Joel Mathias , Rajasekhar Anguluri , Oliver Kosut , Lalitha Sankar

Distributed energy resources (DER) as non-wires alternatives, regardless of owner, have the potential to reduce system operating costs and delay system upgrades. However, it is difficult to determine the appropriate economic signal to…

Systems and Control · Electrical Eng. & Systems 2023-03-14 Nicholas D. Laws , Michael E. Webber

The presence of variable renewable energy resources with uncertain outputs in day-ahead electricity markets results in additional balancing needs in real-time. Addressing those needs cost-effectively and reliably within a competitive market…

Systems and Control · Electrical Eng. & Systems 2025-01-23 Elina Spyrou , Qiwei Zhang , Robin B. Hytowitz , Ben F. Hobbs , Siddharth Tyagi , Mengmeng Cai , Michael Blonsky

As energy markets begin clearing at sub-hourly rates, their interaction with load control systems becomes a potentially important consideration. A simple model for the control of thermal systems using market-based power distribution…

Chaotic Dynamics · Physics 2008-12-02 Nicolas Ho , David P. Chassin

The increasing penetration of Distributed Energy Resources (DERs), particularly electric vehicles, heat pumps, and photovoltaic systems, is fundamentally changing power flows in Low-Voltage (LV) distribution networks. Despite this…

Systems and Control · Electrical Eng. & Systems 2026-04-17 Alexandre M. V. Gouveia , Md. Umar Hashmi , Reinhilde D'hulst , Dirk Van Hertem

In the context of dynamic virtual power plants (DVPPs), the integration of frequency containment reserve (FCR) and fast frequency control (FFC) enabled via local compensation of power imbalance represents a significant advancement in…

Systems and Control · Electrical Eng. & Systems 2025-07-10 Saif Ahmad , Seifeddine Ben Elghali , Hafiz Ahmed

This paper analyzes distributed control protocols for first- and second-order networked dynamical systems. We propose a class of nonlinear consensus controllers where the input of each agent can be written as a product of a nonlinear gain,…

Dynamical Systems · Mathematics 2014-10-01 Martin Andreasson , Dimos V. Dimarogonas , Henrik Sandberg , Karl H. Johansson

The design of grid-connected distributed energy systems (DES) has been investigated extensively as an optimisation problem in the past, but most studies do not include nonlinear constraints associated with unbalanced alternating current…

Optimization and Control · Mathematics 2022-04-28 Ishanki De Mel , Oleksiy V. Klymenko , Michael Short

This work studies how the communication network between proactive consumers affects the power utilization and fairness in a simplified direct-current micro-grid model, composed by three coupled layers: physical (an electric circuit that…

Multiagent Systems · Computer Science 2018-02-13 Florian Kühnlenz , Pedro H. J. Nardelli , Hirley Alves

The lifelong control problem of an off-grid microgrid is composed of two tasks, namely estimation of the condition of the microgrid devices and operational planning accounting for the uncertainties by forecasting the future consumption and…

Systems and Control · Electrical Eng. & Systems 2020-05-19 Simone Totaro , Ioannis Boukas , Anders Jonsson , Bertrand Cornélusse

In this paper, we employ a bi-level control system to react to disturbances and balance power mismatch by coordinating distributed energy resources (DERs) under packetized energy management. Packetized energy management (PEM) is a novel…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Mahraz Amini , Adil Khurram , Andrew Klem , Mads Almassalkhi , Paul D. H. Hines

Distributed consensus-based controllers for optimal secondary frequency regulation of microgrids and power systems have received substantial attention in recent years. This paper provides a Lyapunov-based proof that, under a time-scale…

Optimization and Control · Mathematics 2020-03-11 John W. Simpson-Porco

In power networks based on Inverter-Based Resources (IBRs), fast controllers cause frequency and voltage dynamics to overlap. Thus, it becomes critical to assess the overall dynamic performance of such networks through a combined…

Systems and Control · Electrical Eng. & Systems 2026-03-11 Rodrigo Bernal , Taulant Kerci , Federico Milano

Measurement-rich power distribution networks may enable distribution system operators (DSOs) to adopt model-less and measurement-based monitoring and control of distributed energy resources (DERs) for mitigating grid issues such as…

Systems and Control · Electrical Eng. & Systems 2022-08-03 Rahul Gupta , Fabrizio Sossan , Mario Paolone

This paper is concerned with the problem of coordinating a set of distributed energy resources (DERs) in a lossy power distribution system to provide frequency regulation services to a bulk power grid with the explicit consideration of…

Optimization and Control · Mathematics 2018-02-28 Hanchen Xu , Alejandro D. Domínguez-García , Peter W. Sauer

Aggregators have emerged as crucial tools for the coordination of distributed, controllable loads. To be used effectively, an aggregator must be able to communicate the available flexibility of the loads they control, as known as the…

Optimization and Control · Mathematics 2022-06-01 Tongxin Li , Bo Sun , Yue Chen , Zixin Ye , Steven H. Low , Adam Wierman

In this study, we develop a theoretical model of strategic equilibrium bidding and price-setting behaviour by heterogeneous and boundedly rational electricity producers and a grid operator in a single electricity market under uncertain…

Physics and Society · Physics 2017-04-27 Jobst Heitzig , Hildegard Meyer-Ortmanns , Sabine Auer