Journal Article10.1109/TSG.2018.2833108
Distributed Consensus Based Algorithm for Economic Dispatch in a Microgrid
173
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.
read more
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.
read more
Chat with Paper
AI Agents for this Paper
Find similar papers on Google Scholar, PubMed and Arxiv
Write a critical review of this paper
Analyze citations of this paper to find unaddressed research gaps
Citations
Grid integration impacts and control strategies for renewable based microgrid
TL;DR: In this article , a comprehensive review of state-of-the-art hierarchical control structure for meeting expected functionalities is presented, and the emergence of advanced control trends, such as rise of cooperative distributed control methodologies and unification of the traditional three layers of the hierarchical control into fewer (two or one) layers considering applications and operation, are also described.
46
Distributed multi-objective grey wolf optimizer for distributed multi-objective economic dispatch of multi-area interconnected power systems
TL;DR: In this article , the authors proposed a distributed MOGWO for large-scale multi-area interconnected power systems (LMIPSs), where the sub-problems of each area are optimized independently, and the overall optimization can be realized by sharing only part of the boundary bus information between areas.
42
Optimal operation and stochastic scheduling of renewable energy of a microgrid with optimal sizing of battery energy storage considering cost reduction
TL;DR: In this article , the authors presented an seasonal optimization framework for the short-term operation of an MG, including energy storage and solar photovoltaic (PV) systems, while thoroughly exploring the effects of varying climatic factors on the optimal scheduling of resources.
38
A Computationally Efficient Consensus-Based Multiagent Distributed EMS for DC Microgrids
TL;DR: The proposed energy management system (EMS) is formulated with a consensus algorithm based on incremental cost, which operates in a distributed manner for both generation and demand-side management and is privacy-preserving, scalable, plug-and-play capable, and robust against time-varying communication topologies.
38
Distributed Optimization for Integrated Frequency Regulation and Economic Dispatch in Microgrids
TL;DR: Distributed optimization algorithms are developed to manage economic dispatch and frequency regulation in microgrids concurrently, leaving the inter-layer coordination across timescales unnecessary.
37
References
Consensus problems in networks of agents with switching topology and time-delays
TL;DR: A distinctive feature of this work is to address consensus problems for networks with directed information flow by establishing a direct connection between the algebraic connectivity of the network and the performance of a linear consensus protocol.
•Book
Power Generation, Operation, and Control
Allen J. Wood,Bruce Wollenberg +1 more
- 01 Jan 1984
TL;DR: In this paper, the authors present a graduate-level text in electric power engineering as regards to planning, operating, and controlling large scale power generation and transmission systems, including characteristics of power generation units, transmission losses, generation with limited energy supply, control of generation, and power system security.
9.3K
Coordination of groups of mobile autonomous agents using nearest neighbor rules
Ali Jadbabaie,Jie Lin,A.S. Morse +2 more
TL;DR: A theoretical explanation for the observed behavior of the Vicsek model, which proves to be a graphic example of a switched linear system which is stable, but for which there does not exist a common quadratic Lyapunov function.
Distributed Consensus in Multi-vehicle Cooperative Control
Wei Ren,Randal W. Beard +1 more
- 01 Jan 2008
TL;DR: In this article, the authors present a survey of the use of consensus algorithms in multi-vehicle cooperative control, including single-and double-integrator dynamical systems, rigid-body attitude dynamics, rendezvous and axial alignment, formation control, deep-space formation flying, fire monitoring and surveillance.
3.3K