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Mathematics > Optimization and Control

arXiv:1812.09928 (math)
[Submitted on 24 Dec 2018]

Title:Closed-Loop Hierarchical Operation for Optimal Unit Commitment and Dispatch in Microgrids: A Hybrid System Approach

Authors:Fangyuan Li, Jiahu Qin, Yu Kang
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Abstract:To contribute to a smart grid, the unit commitment and dispatch (UCD) is a very important problem to be revisited in the future microgrid environment. In this paper, the UCD problem is studied by taking account of both traditional thermal units and distributed generation units (DGs) while considering demand response (DR) and carbon emissions trading (CET). Then, the UCD problem is reformulated as the optimal switching problem of a hybrid system. The reformulation allows convenient handling of time-dependent start-up cost for dynamic programming (DP). Afterwards, a closed-loop hierarchical operation (CLHO) algorithm is developed which is capable of producing the optimal schedule in the closed-loop behavior. Theoretical analysis is also presented to show the equivalence of the reformulation and the effectiveness of the CLHO algorithm. Finally, the closed-loop behavior and the effectiveness of the algorithm are further verified by simulation studies. It is also shown that low emission quotas and high emission trading price help reduce the total carbon emissions.
Subjects: Optimization and Control (math.OC)
Cite as: arXiv:1812.09928 [math.OC]
  (or arXiv:1812.09928v1 [math.OC] for this version)
  https://doi.org/10.48550/arXiv.1812.09928

Submission history

From: Jiahu Qin [view email]
[v1] Mon, 24 Dec 2018 14:17:12 UTC (51 KB)
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