Interval Arithmetic based Optimal Curtailment for Infeasible SCED Considering Wind Power Uncertainties


Security constrained economic dispatch (SCED) is an important tool for ISOs/RTOs to achieve economic power system operation in day-ahead and real-time markets. However, the wind generation uncertainty varying within a large range may make the SCED model unsolvable under certain scenarios. Thus, curtailment is utilized in this work to avoid the infeasibility in the presence of wind power uncertainty. It is found that the uncertainty set is affected by the curtailment restriction which is modeled as an interval number. By the use of interval arithmetic and big M approach, we construct a mixed integer linear programming (MILP) with the objective of minimizing the total curtailment costs, while guaranteeing the SCED to be feasible when wind power varies within its uncertainty set. Numerical results from a 118-bus test system over 24 time periods verify the effectiveness of this proposed method.

Meeting Name

2015 IEEE Power and Energy Society General Meeting, PES 2015 (2015: Jul. 26-30, Denver, CO)


Electrical and Computer Engineering

Keywords and Phrases

Integer Programming; Numerical Methods; Scheduling; Wind Power; Big M; Curtailment; Economic Dispatch; Infeasibility; Interval Arithmetic; Mixed-Integer Linear Programming; Uncertainty; Electric Load Dispatching; Mixed Integer Linear Programming (MILP); Security Constraints Economic Dispatch (SCED)

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International Standard Serial Number (ISSN)


Document Type

Article - Conference proceedings

Document Version


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© 2015 Institute of Electrical and Electronics Engineers (IEEE), All rights reserved.

Publication Date

01 Jul 2015