Journal
IEEE TRANSACTIONS ON POWER SYSTEMS
Volume 29, Issue 2, Pages 505-513Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TPWRS.2013.2253136
Keywords
Inner approximation; mixed-integer linear programming; outer approximation; separable model; unit commitment
Categories
Funding
- National Natural Science Foundation of China [71061002]
- Guangxi Natural Science Foundation [2013GXNSFBA019017, 2011GXNSFD018022]
- Innovation Group of Talents Highland of Guangxi Higher School
- Foundation of Guangxi University for Nationalities [2011MDYB035]
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This paper proposes a new separable model for the unit commitment (UC) problem and three deterministic global optimization methods for it ensuring convergence to the global optimum within a desired tolerance. By decomposing a multivariate function into several univariate functions, a tighter outer approximation methodology that can be used to improve the outer approximations of several classical convex programming techniques is presented. Based on the idea of the outer approximation (OA) method and the proposed separable model, an outer-inner approximation (OIA) approach is also presented to solve this new formulation of UC problem. In this OIA approach, the UC problem is decomposed into a tighter outer approximation subproblem and an inner approximation subproblem, where the former leads to a better lower bound than the OA method, and the later provides a better upper bound. The simulation results for systems of up to 100 units with 24 h are compared with those of previously published methods, which show that the OIA approach is very promising due to the excellent performance. The proposed approaches are also applied to the large-scale systems of up to 1000 units with 24 h, and systems of up to 100 units with 96 h and 168 h.
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