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
Privacy-Preserving Distributed Economic Dispatch of Microgrids Using Edge-Based Additive Perturbations: An Accelerated Consensus Algorithm
TL;DR: A privacy-preserving accelerated consensus scheme is designed to achieve a balance between supply and demand at the globally minimized cost while preserving the initial local demand information to satisfy the privacy-preserving needs.
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HVAC-Based Cooperative Algorithms for Demand Side Management in a Microgrid
Jie Ma,Xiandong Ma,Suzana Ilic +2 more
Abstract: The high penetration of renewable power generators and various loads have brought a great challenge for dispatching energy in a microgrid system. Heating ventilation air conditioning (HVAC) system, as a household appliance with high popularity, can be considered as an effective technology to alleviate energy dispatch issues. This paper presents novel distributed algorithms based on HVAC to solve the demand side management problem, where the microgrid system with HVAC units is considered as a multi-agent system (MAS). The approach provides a desirable operating frequency signal for each HVAC based on the power mismatch value occurring on each local bus. It utilizes demand response of the HVAC units to minimize the supply-demand mismatch, thus reducing the quantity and capacity of energy storage devices potentially to be required. Compared with existing approaches focusing on the distributed algorithms under a fixed communication network, this paper addresses a consensus problem under a switching topology by using the Lyapunov argument. It is verified that a jointly strong and connected topology is a sufficient condition in order to achieve an average consensus for a time-varying topology. A number of cases are studied to evaluate the effectiveness of the algorithms by taking into account its power constraints, dynamic behaviors, anti-damage characteristics and time-varying communication topology. Modelling these system interactions has demonstrated the feasibility of the proposed microgrid system.
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A Partially Distributed Fixed-Time Economic Dispatch Algorithm with Kron's Modeled Power Transmission Losses
TL;DR: In this article , a partially distributed economic dispatch algorithm, which renders optimal value in fixed time with the objective of supplying the load requirement as well as the power transmission losses, is proposed.
A gossip-based asynchronous distributed algorithm for economic dispatch problem with transmission losses *
Rui Wang,Qiqiang Li,Yang Shi,Luhao Wang +3 more
- 21 May 2019
TL;DR: A gossip-based distributed algorithm to solve the economic dispatch problem in smart grids based on gossip algorithm, which implies that only two nodes are activated randomly to exchange their information at each time slot is proposed.
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A Completely Distributed Economic Dispatching Strategy Considering Capacity Constraints
TL;DR: In this article, a completely distributed control strategy with improved reliability, flexibility and voltage quality for DC microgrids is proposed, where the output power of each DG is adjusted to obtain global economic optimization while meeting the load demands and its capacity constraint by switching its control mode between distributed dispatch based on dynamic consensus algorithm and constant power control smoothly.
7
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