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This paper proposes online algorithms for dynamic matching markets in power distribution systems, which at any real-time operation instance decides about matching -- or delaying the supply of -- flexible loads with available renewable…

Systems and Control · Electrical Eng. & Systems 2020-07-17 Deepan Muthirayan , Masood Parvania , Pramod P. Khargonekar

Demand response (DR) is a cost-effective and environmentally friendly approach for mitigating the uncertainties in renewable energy integration by taking advantage of the flexibility of customers' demands. However, existing DR programs…

Optimization and Control · Mathematics 2017-05-11 Joshua Comden , Zhenhua Liu , Yue Zhao

In recent decades, the weather around the world has become more irregular and extreme, often causing large-scale extended power outages. Resilience -- the capability of withstanding, adapting to, and recovering from a large-scale disruption…

Applications · Statistics 2025-08-06 Shixiang Zhu , Rui Yao , Yao Xie , Feng Qiu , Yueming Qiu , Xuan Wu

The hypothesis that committed revolving credit lines with fixed spreads can provide firms with interest rate insurance is a standard feature of models on these credit facilities' interest rate structure. Nevertheless, this hypothesis has…

General Economics · Economics 2024-01-24 Miguel A. Duran

Aiming for accurate estimation of system reliability of load-sharing systems, a flexible model for such systems is constructed by approximating the cumulative hazard functions of component lifetimes using piecewise linear functions. The…

Methodology · Statistics 2023-01-05 Shilpi Biswas , Ayon Ganguly , Debanjan Mitra

Electrical infrastructures provide services at the basis of a number of application sectors, several of which are critical from the perspective of human life, environment or financials. Following the increasing trend in electricity…

Other Computer Science · Computer Science 2017-08-16 Giulio Masetti

This paper is concerned with the study of scalability in nonlinear heterogeneous networks affected by communication delays and disturbances. After formalizing the notion of scalability, we give two sufficient conditions to assess this…

Systems and Control · Electrical Eng. & Systems 2022-07-15 Shihao Xie , Giovanni Russo , Richard Middleton

The concept of capacity value is widely used to quantify the contribution of additional generation (most notably renewables) within generation adequacy assessments. This paper surveys the existing probability theory of assessment of the…

Probability · Mathematics 2013-05-29 Chris Dent , Stan Zachary

Resource adequacy studies typically use standard metrics such as Loss of Load Expectation and Expected Energy Unserved to quantify the risk of supply shortfalls. This paper critiques present approaches to adequacy assessment and capacity…

Applications · Statistics 2023-09-13 Chris J. Dent , Nestor Sanchez , Aditi Shevni , Jim Q. Smith , Amy L. Wilson , Xuewen Yu

We shall consider some common models in linear thermo-elasticity within a common structural framework. Due to the flexibility of the structural perspective we will obtain well-posedness results for a large class of generalized models…

Mathematical Physics · Physics 2016-10-27 Santwana Mukhopadhyay , Rainer Picard , Sascha Trostorff , Marcus Waurick

A market consisting of a generator with thermal and renewable generation capability, a set of non-preemptive loads (i.e., loads which cannot be interrupted once started), and an independent system operator (ISO) is considered. Loads are…

Systems and Control · Electrical Eng. & Systems 2021-12-14 Nathan Dahlin , Rahul Jain

Coordinating the interactions between flexibility assets in multi-carrier integrated energy systems (MIES) can lead to an efficient integration of variable renewable energy resources, and a cost-efficient energy transition. However, the…

Systems and Control · Electrical Eng. & Systems 2025-09-04 Christian Doh Dinga , Sander van Rijn , Laurens de Vries , Milos Cvetkovic

Modern grid monitoring equipment enables utilities to collect detailed records of power interruptions. These data are aggregated to compute publicly reported metrics describing high-level characteristics of grid performance. The current…

Physics and Society · Physics 2019-01-14 Laurel N. Dunn , Michael D. Sohn , Kristina Hamachi Lacommare , Joseph H. Eto

This letter first explores the solution uniqueness of the data-driven modeling of price-responsive flexible loads (PFL). The PFL on the demand side is critical in modern power systems. An accurate PFL model is fundamental for system…

Systems and Control · Electrical Eng. & Systems 2025-03-06 Shuai Lu , Jiayi Ding , Mingji Chen , Wei Gu , Junpeng Zhu , Yijun Xu , Zhaoyang Dong , Zezheng Sun

The deepening penetration of renewables in power systems has contributed to the increasing needs for generation scheduling flexibility. Specifically, for short-term operations, flexibility here indicates that sufficient ramp capacities…

Optimization and Control · Mathematics 2016-01-14 Runze Chen , Jianhui Wang , Audun Botterud , Hongbin Sun

Modularity is widely used to effectively measure the strength of the disjoint community structure found by community detection algorithms. Several overlapping extensions of modularity were proposed to measure the quality of overlapping…

Social and Information Networks · Computer Science 2018-07-02 Mingming Chen , Boleslaw K. Szymanski

Antifragility characterizes the benefit of a dynamical system derived from the variability in environmental perturbations. Antifragility carries a precise definition that quantifies a system's output response to input variability. Systems…

Populations and Evolution · Quantitative Biology 2023-12-22 Cristian Axenie , Oliver López-Corona , Michail A. Makridis , Meisam Akbarzadeh , Matteo Saveriano , Alexandru Stancu , Jeffrey West

We propose a multiscale approach for predicting quantities in dynamical systems which is explicitly structured to extract information in both fine-to-coarse and coarse-to-fine directions. We envision this method being generally applicable…

Atmospheric and Oceanic Physics · Physics 2025-12-30 Karl Otness , Laure Zanna , Joan Bruna

Dependability is an umbrella concept that subsumes many key properties about a system, including reliability, maintainability, safety, availability, confidentiality, and integrity. Various dependability modeling techniques have been…

Software Engineering · Computer Science 2016-06-23 Waqar Ahmed , Osman Hasan , Sofiene Tahar

We present results and ideas on flexibility and its teaching for university mathematicians based on research and our experience in professional development programs. We believe this could provide food for thought for instructors of calculus…

History and Overview · Mathematics 2024-04-03 Peter Hästö , Jon R. Star
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