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Optimization models have been broadly used within side the energy industry as useful decision-making systems for scheduling and dispatching electric powered energy resources; this is applied in a system called unit commitment (UC). Unit…

Optimization and Control · Mathematics 2022-04-01 Angel Zambrano

Timed automata (TA) have been widely adopted as a suitable formalism to model time-critical systems. Furthermore, contemporary model-checking tools allow the designer to check whether a TA complies with a system specification. However, the…

Logic in Computer Science · Computer Science 2023-06-22 Jaroslav Bendík , Ahmet Sencan , Ebru Aydin Gol , Ivana Černá

This paper addresses the modeling and control of heterogeneous populations of thermostatically controlled loads (TCLs) operated by model predictive control (MPC) schemes at level of each TCL. It is shown that the dynamics of such TCLs…

Optimization and Control · Mathematics 2019-12-24 Jun Zheng , Gabriel Laparra , Guchuan Zhu , Meng Li

Higher penetration of renewable generation will increase the demand for adequate (and cost-effective) controllable resources on the grid that can mitigate and contain the contingencies locally before it can cause a network-wide collapse.…

Optimization and Control · Mathematics 2018-06-08 Sai Pushpak Nandanoori , Soumya Kundu , Draguna Vrabie , Karan Kalsi , Jianming Lian

We propose a stability analysis method for sampled-data switched linear systems with quantization. The available information to the controller is limited: the quantized state and switching signal at each sampling time. Switching between…

Systems and Control · Computer Science 2014-08-13 Masashi Wakaiki , Yutaka Yamamoto

This note introduces a piecewise-deterministic queueing (PDQ) model to study the stability of traffic queues in parallel-link transportation systems facing stochastic capacity fluctuations. The saturation rate (capacity) of the PDQ model…

Optimization and Control · Mathematics 2018-02-19 Li Jin , Saurabh Amin

We present a treatable generalization of the Sherrington Kirkpatrick model which introduces correlations in the elements of the coupling matrix through multiplicative disorder on the single variables and investigate the consequences on the…

Disordered Systems and Neural Networks · Physics 2014-07-08 Paolo Barucca , Giorgio Parisi , Tommaso Rizzo

This paper presents a new aggregate power tracking control scheme for populations of thermostatically controlled loads (TCLs). The control design is performed in the framework of partial differential equations (PDEs) based on a late-lumping…

Systems and Control · Electrical Eng. & Systems 2024-04-30 Zhenhe Zhang , Jun Zheng , Guchuan Zhu

Electricity systems are experiencing increased effects of randomness and variability due to emerging stochastic assets. The increased effects introduce new uncertainties into power systems that can impact system operability and reliability.…

Systems and Control · Electrical Eng. & Systems 2022-11-10 Naeem Turner-Bandele , Amritanshu Pandey , Larry Pileggi

The quantum oscillator in the thermostat is considered as the model of an open quantum system. Our analysis will be heavily founded on the use of the Schroedinger generalized uncertainties relations (SUR). Our first aim is to demonstrate…

Statistical Mechanics · Physics 2007-05-23 Aleksander Sukhanov

The expansion of residential demand response programs and increased deployment of controllable loads will require accurate appliance-level load modeling and forecasting. This paper proposes a conditional hidden semi-Markov model to describe…

Applications · Statistics 2018-10-10 Yuting Ji , Elizabeth Buechler , Ram Rajagopal

A closed-loop control of a reaction-diffusion type process is introduced. The control system consist of a finite number of control and measurement devices. The measurement devices collect information about the current state of the process.…

Optimization and Control · Mathematics 2013-06-28 Grzegorz Dudziuk

Recent studies on control of aggregate power of an ensemble of thermostatically-controlled-loads (TCLs) have been concentrated on shifting the temperature set points of each TCL in the population. A sudden shift in the set point, however,…

Adaptation and Self-Organizing Systems · Physics 2012-07-06 Soumya Kundu , Nikolai Sinitsyn

The synthesis of adaptive gain-scheduling controller is discussed for continuous-time linear models characterized by polytopic uncertainties. The proposed approach computes the control law assuming the parameters as uncertain and adaptively…

Systems and Control · Electrical Eng. & Systems 2025-06-17 Ariany C. Oliveira , Victor C. S. Campos , Leonardo. A. Mozelli

Electricity is difficult to store, except at prohibitive cost, and therefore the balance between generation and load must be maintained at all times. Electricity is traditionally managed by anticipating demand and intermittent production…

Machine Learning · Computer Science 2024-09-26 Julie Keisler , Margaux Bregere

It is necessary to estimate the expected energy usage of a building to determine how to reduce energy usage. The expected energy usage of a building can be reliably simulated using a Building Energy Model (BEM). Many of the numerous input…

Computational Engineering, Finance, and Science · Computer Science 2020-04-21 Arpan Mukherjee , Anna Kuechle Szweda , Andrew Alegria , Rahul Rai , Tarunraj Singh

This paper addresses the real-time energy dispatch of a hybrid system comprising cascaded hydropower plants, wind, and solar units, jointly participating in the day-ahead energy market under inflow, renewable generation, and price…

Optimization and Control · Mathematics 2025-10-15 Luca Santosuosso , Sonja Wogrin

Max-algebra models of tandem single-server queueing systems with both finite and infinite buffers are developed. The dynamics of each system is described by a linear vector state equation similar to those in the conventional linear systems…

Numerical Analysis · Mathematics 2012-11-27 N. K. Krivulin

Recent studies indicate that in many situations service times are affected by the experienced queueing delay of the particular customer. This effect has been detected in different areas, such as health care, call centers and…

Probability · Mathematics 2025-04-25 Bernardo D'Auria , Ivo J. B. F. Adan , René Bekker , Vidyadhar Kulkarni

The advent of renewable energy has huge implications for the design and control of power grids. Due to increasing supply-side uncertainty, traditional reliability constraints such as strict bounds on current, voltage and temperature in a…

Optimization and Control · Mathematics 2019-05-24 Tommaso Nesti , Jayakrishnan Nair , Bert Zwart