2019 IEEE 58th Conference on Decision and Control (CDC) 2019
DOI: 10.1109/cdc40024.2019.9028939
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Aggregate capacity for TCLs providing virtual energy storage with cycling constraints

Abstract: A flexible load can vary its power consumption to perform grid support services. This flexibility is naturally limited by the Quality of Service (QoS) requirements at the load. A widely examined class of flexible loads is Thermostatically Controlled Loads (TCLs), which include air conditioners, water heaters, and refrigerators. A TCL is designed to maintain a temperature within a preset band, and the actuation to achieve this is on/off. Temperature, cycling rate, and the energy bill are three main QoS metrics:… Show more

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Cited by 8 publications
(5 citation statements)
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“…Since all of these systems can be modeled as a negative load during the steady-state operation, the proposed formulation in this article can be easily extended to include different types of LERs with their operational models and constraints. Similarly, this article can be expanded to include the cycling, and energy quality of service (QoS) constraints of thermostatically controlled loads (TCLs) [30]. Furthermore, the formulation can be easily adapted to include time-shiftable loads such as EVs.…”
Section: ) Contract With Dr-capable Local Energy Resources (Lers)mentioning
confidence: 99%
“…Since all of these systems can be modeled as a negative load during the steady-state operation, the proposed formulation in this article can be easily extended to include different types of LERs with their operational models and constraints. Similarly, this article can be expanded to include the cycling, and energy quality of service (QoS) constraints of thermostatically controlled loads (TCLs) [30]. Furthermore, the formulation can be easily adapted to include time-shiftable loads such as EVs.…”
Section: ) Contract With Dr-capable Local Energy Resources (Lers)mentioning
confidence: 99%
“…Other service types, e.g., contingency-type reserve actions that include the precharging of energy storage and the reconnection after service, have been analyzed in the study by Abiri-Jahromi and Bouffard. [40] Coffman et al [41,42] study lockout constraints as well but pursue a different goal named reference planning. A grid balancing authority successively extracts and assigns suitably shaped portions from a residual load signal to those flexible resources that can best handle these according to their capacities.…”
Section: Related Workmentioning
confidence: 99%
“…By supplying capacity bounds as static constraints, TBs support planning and optimization tasks such as the economic dispatch of load and generation units. [35,41] To control and characterize load aggregations dynamically, TCL in fact lend themselves as a model and need no detour via TB or polytope descriptions, because the Fokker-Planck partial differential equation (FPE-PDE) raises their descriptive power to aggregations. [45][46][47][48] The FPE governs the evolution of temperature densities in time.…”
Section: Related Workmentioning
confidence: 99%
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“…That is, the transition matrix of the state process is a point wise product of two controlled transition matrices. In an optimal control setting, computation of the BA's control command, ζ(t), for reference tracking is a non-convex optimization problem [11]. The probability of turning on when temperature exceeds the upper limit, or off when temperature dips below the lower limit, is set to 1 by design.…”
Section: Literature Review and Contributionmentioning
confidence: 99%