A Unified Stochastic Hybrid System Approach to Aggregate Modeling of Responsive Loads

Zhao, Lin; Zhang, Wei

doi:10.1109/tac.2018.2804760

Cited by 10 publications

(8 citation statements)

References 44 publications

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“…Proof By Lemma 3 and the regularity of w n and v n , it suffices to let n → ∞ in (23), which leads to the desired result.…”

Section: Stability Analysismentioning

confidence: 92%

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Aggregate Power Control of Heterogeneous TCL Populations Governed by Fokker-Planck Equations

Zheng¹,

Laparra²,

Zhu³

et al. 2019

Preprint

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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 populations can be described by a pair of Fokker-Planck equations coupled via the actions in the domain. The technique of input-output feedback linearization is used in the design of aggregate power control, which leads to a nonlinear system in closed loop. Well-posedness analysis is carried out to validate the developed control scheme. The closed-loop stability of the system is assessed by a rigorous analysis. A simulation study is contacted, and the obtained results confirm the validity and the effectiveness of the proposed approach.

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“…Proof By Lemma 3 and the regularity of w n and v n , it suffices to let n → ∞ in (23), which leads to the desired result.…”

Section: Stability Analysismentioning

confidence: 92%

“…] for different DR applications. A more generic stochastic hybrid system model applicable to a wider class of responsive loads is developed in [23]. PDE aggregate models can also be derived in the framework of deterministic systems.…”

Section: Introductionmentioning

confidence: 99%

Aggregate Power Control of Heterogeneous TCL Populations Governed by Fokker-Planck Equations

Zheng¹,

Laparra²,

Zhu³

et al. 2019

Preprint

View full text Add to dashboard Cite

show abstract

“…Proof: By Lemma 1 and the regularity of w n and v n , it suffices to let n → ∞ in (23), which leads to the desired result.…”

Section: Proofmentioning

confidence: 95%

“…This approach is adopted later by [6], [14], [15], and [22] for different DR applications. A more generic stochastic hybrid system model applicable to a wider class of responsive loads is developed in [23]. PDE aggregate models can also be derived in the framework of deterministic systems.…”

Section: Introductionmentioning

confidence: 99%

Aggregate Power Control of Heterogeneous TCL Populations Governed by Fokker–Planck Equations

Zheng

Laparra

Zhu

et al. 2020

IEEE Trans. Contr. Syst. Technol.

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“…The active participation of smart buildings in the electricity system has been widely investigated in the literature [9]- [15]. Most of the works consider thermostatically-controlled loads (TCLs) only [9]- [12]. Li et al [9] devised a market-based coordination of a pool of TCLs which were modelled by a second-order equivalent thermal parameter (ETP) model.…”

Section: Introductionmentioning

confidence: 99%

How Can Smart Buildings Be Price-Responsive?

Fernández-Blanco

Moralesu

Pineda

2019

2019 IEEE Milan PowerTech

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The prospective participation of smart buildings in the electricity system is strongly related to the increasing active role of demand-side resources in the electrical grid. In addition, the growing penetration of smart meters and recent advances on home automation technologies will spur the development of new mathematical tools to help optimize the local resources of these buildings. Within this context, this paper first provides a comprehensive model to determine the electrical consumption of a single-zone household based on economic model predictive control. The goal of this problem is to minimize the electricity consumption cost while accounting for the heating dynamics of the building, smart home appliances, and comfort constraints. This paper then identifies and analyzes the key parameters responsible for the price-responsive behaviour of smart households.Index Terms-Model predictive control, price-responsive loads, smart appliances, smart buildings.

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A Unified Stochastic Hybrid System Approach to Aggregate Modeling of Responsive Loads

Abstract: His research focuses on control and game theory with applications in power systems, robotics, and intelligent transportations.

Cited by 10 publications

References 44 publications

Aggregate Power Control of Heterogeneous TCL Populations Governed by Fokker-Planck Equations

Aggregate Power Control of Heterogeneous TCL Populations Governed by Fokker-Planck Equations

Aggregate Power Control of Heterogeneous TCL Populations Governed by Fokker–Planck Equations

How Can Smart Buildings Be Price-Responsive?

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