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This letter provides a tighter piecewise linear approximation of generating units' quadratic cost curves (QCCs) for unit commitment (UC) problems. In order to facilitate the UC optimization process with efficient mixed-integer linear programing (MILP) solvers, QCCs are piecewise linearized for converting the original mixed-integer quadratic programming (MIQP) problem into an MILP problem. Traditionally, QCCs are piecewise linearized by evenly dividing the entire real power region into segments. This letter discusses a rigorous segment partition method for obtaining a set of optimal segment points by minimizing the difference between chord and arc lengths, in order to derive a tighter piecewise linear approximation of QCCs and, in turn, a better UC solution as compared to the equipartition method. Numerical test results show the effectiveness of the proposed method on a tighter piecewise linear approximation for better UC solutions.
Published in:
Power Systems, IEEE Transactions on
(Volume:26
,
Issue:
4
)
Date of Publication: Nov. 2011
- Page(s):
- 2581 - 2583
- ISSN :
- 0885-8950
- INSPEC Accession Number:
- 12301753
- Digital Object Identifier :
- 10.1109/TPWRS.2011.2148370
- Product Type:
- Journals & Magazines
- Date of Publication :
- 27 May 2011
- Date of Current Version :
- 20 October 2011
- Issue Date :
- Nov. 2011
- Sponsored by :
- IEEE Power & Energy Society
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