The necessary and sufficient conditions for determining feasible solutions to unit commitment problems with ramping constraints

It is difficult to determine if a feasible solution to unit commitment (UC) problem can be obtained by adjusting generation levels for the fixed commitment states. In this paper, a necessary and sufficient condition is developed to determine the feasibility of commitment states if the generation reg...

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Bibliographic Details
Published inIEEE Power Engineering Society General Meeting, 2005 pp. 344 - 349 Vol. 1
Main Authors Sangang Guo, Xiaohong Guan, Qiaozhu Zhai
Format Conference Proceeding
LanguageEnglish
Published IEEE 2005
Subjects
Constraint theory
Cost function
Lagrangian functions
Linear programming
Power generation
Power generation economics
Sufficient conditions
Systems engineering and theory
Testing
Time factors
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Summary:It is difficult to determine if a feasible solution to unit commitment (UC) problem can be obtained by adjusting generation levels for the fixed commitment states. In this paper, a necessary and sufficient condition is developed to determine the feasibility of commitment states if the generation regions of the units with ramping constraints at each time period are known recursively before solving continuous economic dispatch problems. The condition is proved rigorously by applying the Benders decomposition feasibility theorem [Benders, JF 1962 and Geoffion AM 1972]. Based on this condition, an efficient method for solving UC problems with ramping constraints can be developed. Numerical test shows that the feasibility of commitment states can be determined very efficiently and effectively.
ISBN:9780780391574
0780391578
ISSN:1932-5517
DOI:10.1109/PES.2005.1489348