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Journal ArticleDOI

Consensus-Based Energy Management in Smart Grid With Transmission Losses and Directed Communication

TLDR
A consensus-based algorithm is designed to solve the problem of distributed energy management for both generation and demand side in smart grid by taking transmission losses into account and it is proved the convergence and optimality of the proposed algorithm is achieved.
Abstract
This paper investigates the problem of distributed energy management for both generation and demand side in smart grid. Different from existing works, we formulate a social welfare maximization problem for a more practical scenario by taking transmission losses into account. The formulated problem is non-convex due to the non-convexity of the power balance equality constraint caused by the transmission losses. To solve the problem, we first transform the equality constraint into an inequality constraint and obtain a new convex optimization problem. We then derive a sufficient condition to guarantee that the new problem has the same solution as the original one. Because of the coupling in the constraint, Lagrange duality method is adopted to decompose the problem. Considering the general communication topology among generators and demands, i.e., directed connected topology, we design a consensus-based algorithm to solve the problem in a distributed way. We also prove the convergence and optimality of the proposed algorithm, under which the social welfare maximization is achieved. Extensive simulations validate the theoretical results and demonstrate the effectiveness of the proposed algorithm.

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Citations
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Proceedings ArticleDOI

Consensus-Based Coordination of Time-Shiftable Flexible Demand

TL;DR: It is demonstrated that state-of-the-art algorithms fail to converge when time-shiftable flexible demands (TSFD) are present, and a relative maximum power restriction is introduced, which effectively mitigates the concentration of the TSFD responses at the same time periods and steers the consensus-based algorithm towards a feasible and near-optimal solution.
Journal ArticleDOI

Performance Analysis of Discrete-Time Average Consensus under Uniform Constant Time Delays

TL;DR: In this paper, it is shown that average consensus is robust to time delays via a matrix theory-based approach and the deviation of the final value from the average of the initial states is expressed explicitly.
Journal ArticleDOI

Distributed algorithm for a finite time horizon resource allocation over a directed network

TL;DR: The authors show that the convergence and optimality can be ensured provided that the digraph within the time horizon is strongly connected, and develop a consensus-based multipliers decomposition method to solve the problem.
Proceedings ArticleDOI

Consensus Based Distributed Solution of Economic Dispatch Problem for a Micro-Grid

TL;DR: Economic dispatch problem of a micro-grid structure is studied using distributed consensus algorithm based on graph theory and results conclude that incremental cost converges to its optimal value whether load demand is varying or generators plug-and-play.
Journal ArticleDOI

Fixed-time consensus based distributed economic generation control in a smart grid

TL;DR: In this paper , a distributed economic generation control (DEGC) strategy for smart grid is presented, which minimizes the total generation cost while guaranteeing supply-demand balance constraint and generation capacity constraints.
References
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Book

Convex Optimization

TL;DR: In this article, the focus is on recognizing convex optimization problems and then finding the most appropriate technique for solving them, and a comprehensive introduction to the subject is given. But the focus of this book is not on the optimization problem itself, but on the problem of finding the appropriate technique to solve it.
Journal ArticleDOI

Consensus and Cooperation in Networked Multi-Agent Systems

TL;DR: A theoretical framework for analysis of consensus algorithms for multi-agent networked systems with an emphasis on the role of directed information flow, robustness to changes in network topology due to link/node failures, time-delays, and performance guarantees is provided.
Book

Power Generation, Operation, and Control

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.
Journal ArticleDOI

Consensus seeking in multiagent systems under dynamically changing interaction topologies

TL;DR: It is shown that information consensus under dynamically changing interaction topologies can be achieved asymptotically if the union of the directed interaction graphs have a spanning tree frequently enough as the system evolves.
Journal ArticleDOI

Autonomous Demand-Side Management Based on Game-Theoretic Energy Consumption Scheduling for the Future Smart Grid

TL;DR: This paper presents an autonomous and distributed demand-side energy management system among users that takes advantage of a two-way digital communication infrastructure which is envisioned in the future smart grid.
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