Journal Article10.1109/TSG.2018.2833108
Distributed Consensus Based Algorithm for Economic Dispatch in a Microgrid
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TL;DR: Using multi-parameter perturbation theory and graph theory, the convergence of the algorithm is proved and it is obtained that the algorithm converges to the optimal solution at a rate governed by the second largest eigenvalue of the system matrix.
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Abstract: Economic dispatch problem (EDP) is a fundamental optimization problem of power systems. With the penetration of renewable energy sources in microgrids, this paper proposes a distributed algorithm based on consensus theory to solve the EDP with a quadratic cost function. The method takes advantage of the fact that incremental costs need to be equal for all buses at optimal output power values. Thus, the incremental cost of each bus is selected as a consensus variable and the local mismatch between total demand and generation is assigned as a feedback variable to meet demand constraints. Unlike the existing related works, the feedback gains for the feedback variables are different and time-varying. Using multi-parameter perturbation theory and graph theory, the convergence of the algorithm is proved. Furthermore, the upper bounds of the feedback gains are given theoretically, and we obtain that the algorithm converges to the optimal solution at a rate governed by the second largest eigenvalue of the system matrix. Meanwhile, the algorithm is a fully distributed algorithm without a leader or a virtual command node. The simulation results illustrate the effectiveness of the algorithm even though there is a demand change and generator damage. Some simulation results intuitively illustrate how the convergence speed changes with the feedback gains.
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Citations
Achieving Acceleration for Distributed Economic Dispatch in Smart Grids Over Directed Networks
TL;DR: A novel directed distributed Lagrangian momentum algorithm, named as D-DLM, is developed, which integrates distributed gradient tracking method with two types of momentum terms and utilizes non-uniform step-sizes with respect to the updates oflagrangian multipliers.
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Distributed Consensus-Based Economic Dispatch in Power Grids Using the Paillier Cryptosystem
TL;DR: This paper proposes a novel secure scheme for the consensus-based economic dispatch algorithm using the Paillier cryptosystem that ensures that not only the network transmitted information is protected from external malicious party but also the privacy information of each node remains intact.
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Multi-Agent Systems for Resource Allocation and Scheduling in a Smart Grid
Arun Sukumaran Nair,Tareq Hossen,Mitch Campion,Daisy Flora Selvaraj,Neena Goveas,Naima Kaabouch,Prakash Ranganathan +6 more
- 29 Oct 2018
TL;DR: A comprehensive literature review on the application of Multi-agent systems (MAS) to Economic Dispatch (ED) and Unit Commitment (UC) in smart grids.
Recent progress on the study of distributed economic dispatch in smart grid: an overview
TL;DR: In this article, the authors present a review of some theoretical advances toward DED in the smart grid (SG) with a focus on the literature published since 2015, and 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.
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Privacy-Preserving Distributed Economic Dispatch of Microgrids: A Dynamic Quantization-Based Consensus Scheme With Homomorphic Encryption
01 Jan 2023
TL;DR: In this paper , a homomorphically encrypted consensus algorithm is developed in the absence of a third party to achieve optimal power distribution with the least cost while preventing sensitive information leakage during the entire communication process.
54
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