A Finite-Time Distributed Optimization Algorithm for Economic Dispatch in Smart Grids

Mao, Shuai; Dong, Ziwei; Schultz, Pamela N.; Tang, Yang; Meng, Ke; Zhang, Dong; Qian, Feng

doi:10.1109/tsmc.2019.2931846

Cited by 68 publications

(15 citation statements)

References 50 publications

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“…According to whether the individual generators subject to constraints, the study of distributed continuous-time EDPs can be classified roughly into distributed continuous-time EDPs without any constraint on generators (Mudumbai et al, 2012;Li KX et al, 2018;Zhao ZY and Chen, 2018;Li H et al, 2019) and distributed continuous-time EDPs with generators subject to constraints. Furthermore, the study of distributed continuous-time EDPs with generators subject to constraints can be categorized as distributed continuous-time EDPs with generators subject to box-constraints (each generator has upper and lower bounds on the power it could produce) Cortés, 2015, 2016;Chen et al, 2017;Zhao, 2018, 2020;He et al, 2018He et al, , 2019Li CJ et al, 2018;Yu WW et al, 2018;Bai et al, 2019;Huang et al, 2019;Mao et al, 2019;Wang D et al, 2019;Dai et al, 2020) and distributed continuoustime EDPs with generators subject to non-box constraints (Yi et al, 2016;Liang et al, 2019;Zhu et al, 2019).…”

Section: Distributed Continuous-time Economic Dispatch With Generatormentioning

confidence: 99%

“…In many related works on ED, the gradients or sub-gradients of local cost functions are assumed to be bounded or have a linear-increasing assumption. Mao et al (2019) further applied the sign function term to relax such restrictions, and the finite-time convergence for more general convex objective functions was derived based on the finite-time control theory. The main benefit of finite-time ED algorithms is that they have higher convergence speed.…”

Section: Distributed Continuous-time Economic Dispatch With Generatormentioning

confidence: 99%

See 1 more Smart Citation

Recent progress on the study of distributed economic dispatch in smart grid: an overview

Wen

Liu

2021

Front Inform Technol Electron Eng

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Designing an efficient distributed economic dispatch (DED) strategy for the smart grid (SG) in the presence of multiple generators plays a paramount role in obtaining various benefits of a new generation power system, such as easy implementation, low maintenance cost, high energy efficiency, and strong robustness against uncertainties. It has drawn a lot of interest from a wide variety of scientific disciplines, including power engineering, control theory, and applied mathematics. We present a state-of-the-art review of some theoretical advances toward DED in the SG, with a focus on the literature published since 2015. We systematically review the recent results on this topic and subsequently categorize them into distributed discrete-and continuous-time economic dispatches of the SG in the presence of multiple generators. After reviewing the literature, we briefly present some future research directions in DED for the SG, including the distributed security economic dispatch of the SG, distributed fast economic dispatch in the SG with practical constraints, efficient initialization-free DED in the SG, DED in the SG in the presence of smart energy storage batteries and flexible loads, and DED in the SG with artificial intelligence technologies.

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Section: Distributed Continuous-time Economic Dispatch With Generatormentioning

confidence: 99%

Section: Distributed Continuous-time Economic Dispatch With Generatormentioning

confidence: 99%

Recent progress on the study of distributed economic dispatch in smart grid: an overview

Wen

Liu

2021

Front Inform Technol Electron Eng

View full text Add to dashboard Cite

show abstract

“…These multiplex networks differ in various ways from the setup studied here. Most importantly in the fact that the layers cooperate on a single control objective and it is mostly secondary control 8,32 or quasi-stationary tertiary control 33 that is considered.…”

Section: A Multiplex Aspects Of Power Gridsmentioning

confidence: 99%

A multiplex, multi-timescale model approach for economic and frequency control in power grids

Strenge

Schultz

Kurths

et al. 2020

Chaos: An Interdisciplinary Journal of Nonlinear Science

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Power systems are subject to fundamental changes due to the increasing infeed of decentralised renewable energy sources and storage. The decentralised nature of the new actors in the system requires new concepts for structuring the power grid, and achieving a wide range of control tasks ranging from seconds to days. Here we introduce a multiplex dynamical network model covering all control timescales. Crucially, we combine a decentralised, self-organised lowlevel control and a smart grid layer of devices that can aggregate information from remote sources. The safety-critical task of frequency control is performed by the former, the economic objective of demand matching dispatch by the latter. Having both aspects present in the same model allows us to study the interaction between the layers. Remarkably, we find that adding communication in the form of aggregation does not improve the performance in the cases considered. Instead, the self-organised state of the system already contains the information required to learn the demand structure in the entire grid. The model introduced here is highly flexible, and can accommodate a wide range of scenarios relevant to future power grids. We expect that it is especially useful in the context of low-energy microgrids with distributed generation.Highly decentralised power grids, possibly in the context of prosumer systems, require new concepts for their stable operation. We expect that both self-organised systems as well as intelligent devices with communication capability that can aggregate information from remote sources will play a central role. Here we introduce a multiplex network model that combines both aspects, and use it in a basic scenario and uncover surprising interactions between the layers.

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“…Technological progress and changes in ecological policies around the world are forcing the energy markets to follow distributed generation models (El-Baz et al, 2019;Flore et al, 2019) and (Schubert and Stadelmann, 2015). To this end, economic dispatch becomes a fundamental problem [see and (Guozden et al, 2020;Mao et al, 2019)] in which total power generation cost of all distributed generating units is minimized over a micro-grid (Chansareewittaya, 2018). Most of the existing economic dispatch problem (EDP) algorithms use a centralized approach (Krishnamurthy et al, 2017;McLarty et al, 2019), which however cannot be applied to distributed generation scenarios (Liu et al, 2016;Zhang et al, 2019;.…”

Section: Introductionmentioning

confidence: 99%

Optimality Condition and Distributed Optimization for Economic Dispatch Using a Novel Weighted Incremental Cost Consensus Approach

et al. 2022

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This research report investigates a novel optimization approach for the economic dispatch problem (EDP) based on the weighted sum of generators’ costs under supply-demand balance. Unlike conventional approaches, we present a distributed optimization approach that ensures optimality using weighted incremental cost (IC) consensus and sign-consensus error convergence. We can apply the optimization of a weighted sum of generators’ costs to address several constraints, such as capacity and environmental constraints, in addition to the supply-demand balance. The proposed distributed weighted incremental cost consensus approach has been applied to the IEEE-30 bus and IEEE-118 bus systems over a communication topology. The results indicate the efficacy of weights to address generation constraints and the convergence of weighted ICs under supply-demand balance.

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A Finite-Time Distributed Optimization Algorithm for Economic Dispatch in Smart Grids

Cited by 68 publications

References 50 publications

Recent progress on the study of distributed economic dispatch in smart grid: an overview

Recent progress on the study of distributed economic dispatch in smart grid: an overview

A multiplex, multi-timescale model approach for economic and frequency control in power grids

Optimality Condition and Distributed Optimization for Economic Dispatch Using a Novel Weighted Incremental Cost Consensus Approach

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