Robust Optimal Dispatch of AC/DC Hybrid Microgrids Considering Generation and Load Uncertainties and Energy Storage Loss


Uncertainties from multiple generation resources and loads have introduced tremendous challenges to the optimal dispatch of microgrids. This paper presents a novel two-stage min-max-min robust optimal dispatch model for a representative islanded AC/DC hybrid microgrid that faces uncertainties in renewable energy generation and customer loads. The first stage of the model determines the startup/shutdown state of the diesel engine generator and the operating state of the bi-directional converter of the microgrid. Then, the second stage optimizes the power dispatch of individual units in the microgrid. A new linearized equipment cost model is developed, counting for the degradation of energy storage. The use of this linear model helps maintain the linearity of objective function without compromising the solution accuracy. The column-and-constraint generation algorithm is implemented to efficiently obtain a robust dispatching plan for the microgrid, which minimizes the daily operating cost in the worst-case scenario. A case study and sensitivity analyses further demonstrate the rationale and the unique capability of the proposed model for planning the operation of AC/DC hybrid microgrids.


Engineering Management and Systems Engineering

Research Center/Lab(s)

Intelligent Systems Center


National Science Foundation of China


This work was supported in part by the National Science Foundation of China (Grant No. 51207140).

Keywords and Phrases

AC/DC Hybrid Microgrid; Energy Storage Loss; Optimal Dispatch; Robust Optimization; Uncertainty

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Document Type

Article - Journal

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© 2018 Institute of Electrical and Electronics Engineers Inc. (IEEE), All rights reserved.

Publication Date

01 Nov 2018