Distributed Optimization in Low Voltage Distribution Networks via Broadcast Signals †

Wei, Boyuan

doi:10.3390/en13010043

Cited by 6 publications

(6 citation statements)

References 52 publications

(56 reference statements)

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“…The theoretical feasible region of α is R + , while β ∈ {2 n , n = 1,2,3,4…}. One can conclude from Figure 1 that α defines the anchor points of θ = ± 0.5, while β determines the gradients around θ = ± 0.5. According to (8) or (12), the expectation of

ζ_{t + 1}^{i}

at different

v_{t}^{i}

can be configured.Remark By employing (6), (7), (8), and (12), the proposed mechanism actually establishes Player Compatible Relationships (PCR)34,47 Among users in the given LVDN. A PCR is defined as.Definition For every user i , there is a finite strategy set

S_{i}

, where strategy

s_{i} \in S_{i}

.…”

Section: Fundamental Mechanismmentioning

confidence: 96%

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Stochastic distributed optimization of shapeable energy resources in low voltage distribution networks under limited communications

2020

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Due to the rising renewable penetration rate, modern low voltage distribution network (LVDN) calls for active control with tractable computation and limited communication. To tackle this, the paper proposes a novel stochastic distributed optimization approach. The computation of optimum is completely decentralized, with a global broadcast signal is used as public reference in order to guarantee the consistency among individual shapeable energy resources. The proposed approach employs Bernoulli trials to imitate the searching process in classical gradient descent approach, and player compatible relationship is employed to play the role of gradients to indicate the direction of the search. Working in a model-free manner without relying on iterations, the proposed approach offers an approximate optimization to minimize the accumulated compensation of reshaping/deferring the shapeable energy resources in a given LVDN while respecting the system constraints. A 103 nodes test network based on a realistic Belgian semi-urban distribution network is used for validation. With two different profiles and a special case of communication failure, the proposed approach is validated and benchmarked with a classical AC optimal power flow algorithm. The results prove that the proposed approach is able to deliver a good approximation to the theoretical optimum with reasonable gap.

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ζ_{t + 1}^{i}

at different

v_{t}^{i}

S_{i}

, where strategy

s_{i} \in S_{i}

.…”

Section: Fundamental Mechanismmentioning

confidence: 96%

“…Consensus-based approaches 31,32,33,34 Each user i has its own consumption (generation is regarded as negative consumption) ζ i t at time t, which is given by:…”

Section: Yesmentioning

confidence: 99%

Stochastic distributed optimization of shapeable energy resources in low voltage distribution networks under limited communications

2020

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“…A model of domestic electricity use is used to generate high resolution household consumption profile, profiles of PV are taken from a 368kW p PV system on the rooftop of a energy research institute in Genk, Belgium. All the engineering details about the testing network can be found in section 4.1 and 4.2 in [31].…”

Section: A Grid Topology and Profilesmentioning

confidence: 99%

A Mean-Field Voltage Control Approach for Active Distribution Networks With Uncertainties

Wei

Qiu

2021

IEEE Trans. Smart Grid

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A model-free distributed control scheme that implements active voltage control in low voltage distribution network (LVDN) is proposed. By solving an individual Hamilton-Jacobi-Bellman-Flemming function with public information, users can compute a good approximation to their optimal control trajectory and take uncertainties into account in a distributed manner. A detailed mathematical framework is given, accompanied by a discussion on the different entries of uncertainties. The proposed control scheme uses a broadcast signal to indicate the probability distribution in mean field theory, and to streamline the demand on Fokker-Planck-Kolmogorov PDE or Mc-Kean Vlasov SDE, which relieves the computational burden. A realistic semiurban distribution network is modified as the study case, with a benchmark of centralized ACOPF to study the performance of the proposed approach. Moreover, two special cases including communication latency and packet loss are given as well, in order to test the robustness of the proposed approach. The results prove that the proposed approach is able to deliver good approximation to the optimal control with uncertainty in a model-free and distributed manner. Index Terms-Active distribution networks, Distributed optimization, Mean field theory, Hamilton-Jacobi-Bellman equation, Model-free, Voltage control. I. INTRODUCTIONW ITH the development of distributed energy resources (DERs), renewable penetration increases not only in medium voltage distribution network, but also low voltage distribution network (LVDN). Along with this trend, conventional passive distribution networks are being transformed into active distribution network (ADN) [1]. Meanwhile, shapeable/deferrable loads spring up in LVDNs, which enlarges the applicability of ADN. Nevertheless, the implementation of ADN is the synonym of a dramatic increase in the amount of smart meters, sensors, and control devices, via bidirectional communication networks. On one hand, high burdens on both communication and computation makes the infrastructure and operation expensive; on the other hand, the rising demand in data collection is being more and more discordant with the awakening public concerns on the privacy protection of data. In this paper, the term users denotes all the DERs connected to LVDNs, which includes but is not limited to photovoltaics (PV), residential wind turbines, smart households and so on. Therefore, the main challenge to implement active controls B. Wei and G. Deconinck are with the

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“…For profiles, the high resolution consumption profile of households are generated by a model of domestic electricity use, and profiles of PV panels are taken from a 368kW p PV system on the rooftop of a building in Genk, Belgium. All the other engineering details about the testing network can be found in section 4.1 and 4.2 in [17].…”

Section: Case Study a Setupsmentioning

confidence: 99%

Distributed Online Optimization for Voltage Control in Low Voltage Distribution Networks

Wei

2020

2020 IEEE PES Innovative Smart Grid Technologies Europe (ISGT-Europe)

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In order to reduce the communication burden in online optimization in low voltage distribution networks (LVDNs), a distributed online optimization approach is proposed. Hamilton-Jacobi-Bellman equation and local measurements are integrated to seek the approximation to optimum. Voltage control is implemented as the embodiment of the proposed approach, which is validated in a realistic 103 nodes LVDN.

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Distributed Optimization in Low Voltage Distribution Networks via Broadcast Signals †

Cited by 6 publications

References 52 publications

Stochastic distributed optimization of shapeable energy resources in low voltage distribution networks under limited communications

Stochastic distributed optimization of shapeable energy resources in low voltage distribution networks under limited communications

A Mean-Field Voltage Control Approach for Active Distribution Networks With Uncertainties

Distributed Online Optimization for Voltage Control in Low Voltage Distribution Networks

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