Energy and reserve scheduling under correlated nodal demand uncertainty: An adjustable robust optimization approach
Date Published |
03/2015
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Publication Type | Journal Article
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Authors | |
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DOI |
10.1016/j.ijepes.2015.02.015
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Abstract |
This paper presents a nonparametric approach based on adjustable robust optimization to consider correlated nodal demand uncertainty in a joint energy and reserve scheduling model with security constraints. In this model, up- and down-spinning reserves provided by generators are endogenously defined as a result of the optimization problem. Adjustable robust optimization is used to characterize the worst-case load variation under a given user-defined uncertainty set. This paper differs from recent previous work in two respects: (i) nonparametric correlations between nodal demands are accounted for in the uncertainty set and (ii) based on the binary expansion linearization approach, a mixed-integer linear model is provided for the optimization related to the worst-case demand. The resulting problem is formulated as a trilevel program and solved by means of Benders decomposition. Empirical results suggest that the effect of nodal correlations can be effectively captured by the robust scheduling model. |
Journal |
International Journal of Electrical Power & Energy Systems
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Volume |
72
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Year of Publication |
2015
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Pagination |
91 - 98
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ISSN Number |
01420615
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URL | |
Short Title |
International Journal of Electrical Power & Energy Systems
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Refereed Designation |
Refereed
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Organizations | |
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