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The flexibilities provided by the distributed energy resources (DERs) in distribution systems enable the coordination of transmission system operator (TSO) and distribution system operators (DSOs). At the distribution level, the…

Systems and Control · Electrical Eng. & Systems 2024-08-30 Yilin Wen , Yi Guo , Zechun Hu , Gabriela Hug

We show how to value both variable generation and energy storage to enable them to be integrated fairly and optimally into electricity capacity markets. We develop theory based on balancing expected energy unserved against costs of capacity…

Optimization and Control · Mathematics 2021-08-10 Stan Zachary , Amy Wilson , Chris Dent

Process flexibility is widely adopted as an effective strategy for responding to uncertain demand. Many algorithms for constructing sparse flexibility designs with good theoretical guarantees have been developed for balanced and symmetrical…

Data Structures and Algorithms · Computer Science 2018-06-11 Xi Chen , Tengyu Ma , Jiawei Zhang , Yuan Zhou

Distributed renewable energy resources have attracted significant attention in recent years due to the falling cost of the renewable energy technology, extensive federal and state incentives, and the application in improving load-point…

Systems and Control · Computer Science 2016-12-05 Alireza Majzoobi , Amin Khodaei

Combinatorial rigidity theory seeks to describe the rigidity or flexibility of bar-joint frameworks in R^d in terms of the structure of the underlying graph G. The goal of this article is to broaden the foundations of combinatorial rigidity…

Combinatorics · Mathematics 2011-10-05 Mike Develin , Jeremy L. Martin , Victor Reiner

We consider the problem of planning the aggregate energy consumption for a set of thermostatically controlled loads for demand response, accounting price forecast trajectory and thermal comfort constraints. We address this as a…

Optimization and Control · Mathematics 2019-05-09 Fernando A. C. C. Fontes , Abhishek Halder , Jorge Becerril , P. R. Kumar

A mixture of joint generalized hyperbolic distributions (MJGHD) is introduced for asymmetric clustering for high-dimensional data. The MJGHD approach takes into account the cluster-specific subspace, thereby limiting the number of…

Methodology · Statistics 2018-11-02 Yang Tang , Ryan P. Browne , Paul D. McNicholas

We consider a basic model of a dynamical distribution network, modeled as a directed graph with storage variables corresponding to every vertex and flow inputs corresponding to every edge, subject to unknown but constant inflows and…

Optimization and Control · Mathematics 2013-03-20 J. Wei , A. J. van der Schaft

The evolution of the power grid towards the so-called Smart Grid, where information technologies help improve the efficiency of electricity production, distribution and consumption, allows to use the fine-grained control brought by the…

Optimization and Control · Mathematics 2017-05-03 Nguyen Hoang Son Duong , Patrick Maillé , Ashish Kumar , Laurent Toutain

Demand response services at the distribution level are emerging as enabling strategies for improving grid reliability in the presence of intermittent renewable generation and grid congestion. For residential loads, space heating and…

Optimization and Control · Mathematics 2025-05-22 Erhan Can Ozcan , Emiliano Dall'Anese , Ioannis Ch. Paschalidis

This paper proposes a Lyapunov approach to the design of a multivariable generalized Super-Twisting algorithm (MGSTA), which is able to control a system with perturbations and uncertain control matrix, both depending on time and the system…

Systems and Control · Electrical Eng. & Systems 2021-11-08 Jaime A. Moreno , Hector Riosand Luis Ovalle , Leonid Fridman

This paper presents a generalized theory which describes how applied loads are distributed within rigid bodies handled by redundantly-actuated robotic systems composed of multiple independent closed-loop kinematic chains. The theory fully…

Robotics · Computer Science 2026-03-13 Joshua Flight , Clément Gosselin

Traditional centralized stability analysis struggles with scalability in large complex modern power grids. This two-part paper proposes a compositional and equilibrium-free approach to analyzing power system stability. In Part I, we prove…

Systems and Control · Electrical Eng. & Systems 2025-06-16 Peng Yang , Xiaoyu Peng , Xi Ru , Hua Geng , Feng Liu

The potential of demand side as a frequency reserve proposes interesting opportunity in handling imbalances due to intermittent renewable energy sources. This paper proposes a novel approach for computing the parameters of a stochastic…

Systems and Control · Computer Science 2020-04-23 Sohail Khan , Mohsin Shahzad , Usman Habib , Wolfgang Gawlik , Peter Palensky

This paper presents a grid-aware probabilistic approach to compute the aggregated flexibility at the grid connection point (GCP) of active distribution networks (ADNs) to allow the participation of DERs in ancillary services (AS) markets.…

Systems and Control · Electrical Eng. & Systems 2026-02-19 Matthieu Jacobs , Mario Paolone

Aggregators have emerged as crucial tools for the coordination of distributed, controllable loads. However, to be used effectively, aggregators must be able to communicate the available flexibility of the loads they control to the system…

Systems and Control · Electrical Eng. & Systems 2020-06-25 Tongxin Li , Steven H. Low , Adam Wierman

This research addresses distributed proportional power sharing of inverter-based Distributed Generators (DGs) in microgrids under variations in maximum power capacity of DGs. A microgrid can include renewable energy resources such as wind…

Systems and Control · Electrical Eng. & Systems 2021-04-21 Farzad Aalipour , Tuhin Das

A recently developed state-of-the-art agent-based simulation of power distribution systems is capable of modeling the thermal and demand response behavior of many thousands of thermostatic end-use loads. It computes the total power consumed…

Exactly Solvable and Integrable Systems · Physics 2007-05-23 David P. Chassin , Joel M. Malard

Coordination of distributed energy resources (DERs) can engender flexibility necessary to improve grid reliability. Packetized Energy Management (PEM) is a method for coordinating DERs, such as thermostatically controlled loads (TCLs) and…

Systems and Control · Electrical Eng. & Systems 2025-10-14 Mohammad Hassan , Mads R. Almassalkhi

In this paper, we consider the expansion of power grids under emerging large loads from data centers and electrified manufacturing. We develop a multi-period grid capacity expansion model to determine optimal investment profiles for power…

Systems and Control · Electrical Eng. & Systems 2026-05-29 Jiyong Lee , Melody Agustin , Joanne Langsdorf , Erhan Kutanolgu , Michael Baldea , Ilias Mitrai