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
Accelerated Algorithms for Distributed Economic Dispatch
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TL;DR: In this article , a new directed distributed Lagrangian momentum algorithm, D-DLM, was proposed to solve the economic dispatch problem in smart grids with row-stochastic weights, which integrates a distributed gradient tracking method with two momentum terms and non-uniform step-sizes.
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TL;DR: In this paper , a distributed dispatch strategy for active distribution network considering the participation of multi-stakeholders is proposed, which is aimed to localize supply and demand, share responsibility for power balance, and reduce dependence on the superior power grid.
Distributed coordination of power generation and transmission for an energy network
Viet Hoang Pham,Hung Manh Nguyen,Hyo-Sung Ahn +2 more
- 21 Nov 2022
TL;DR: In this paper , a modified economic dispatch problem (EDP) of an energy network when both power generation and transmission costs are taken into account is studied. And the authors design a simple iteration update for each agent (corresponding to one power generator or one energy consumer system) to determine the optimal power generation distribution (for generator nodes) and the optimal transmission to its neighbors in a distributed manner.
Distributed Reputation-based Strategy for Economic Environmental Dispatch under Cyber Attacks
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TL;DR: In this article , a distributed reputation-based algorithm is proposed to defend against noncolluding and colluding attacks, integrating attack detection, isolation, and restoration strategy by dynamically updating the reputation value of each generator, the isolation process can intelligently adjust the communication weights among the generator units to isolate the units under attack.
Distributed coordination of power generation and transmission for an energy network
21 Nov 2022
TL;DR: In this paper , a modified economic dispatch problem (EDP) of an energy network when both power generation and transmission costs are taken into account is studied. But the authors only consider the case where the cost functions have convex quadratic forms and apply Douglas-Rachford alternating direction method of multipliers (ADMM).
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