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Title: Cutting planes for the multistage stochastic unit commitment problem

Journal Article · · Mathematical Programming
 [1];  [2];  [3]
  1. Univ. of Michigan, Ann Arbor, MI (United States)
  2. Univ. of Florida, Gainesville, FL (United States)
  3. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

As renewable energy penetration rates continue to increase in power systems worldwide, new challenges arise for system operators in both regulated and deregulated electricity markets to solve the security-constrained coal-fired unit commitment problem with intermittent generation (due to renewables) and uncertain load, in order to ensure system reliability and maintain cost effectiveness. In this paper, we study a security-constrained coal-fired stochastic unit commitment model, which we use to enhance the reliability unit commitment process for day-ahead power system operations. In our approach, we first develop a deterministic equivalent formulation for the problem, which leads to a large-scale mixed-integer linear program. Then, we verify that the turn on/off inequalities provide a convex hull representation of the minimum-up/down time polytope under the stochastic setting. Next, we develop several families of strong valid inequalities mainly through lifting schemes. In particular, by exploring sequence independent lifting and subadditive approximation lifting properties for the lifting schemes, we obtain strong valid inequalities for the ramping and general load balance polytopes. Finally, branch-and-cut algorithms are developed to employ these valid inequalities as cutting planes to solve the problem. As a result, our computational results verify the effectiveness of the proposed approach.

Research Organization:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)
Grant/Contract Number:
AC04-94AL85000
OSTI ID:
1062274
Alternate ID(s):
OSTI ID: 1332947
Report Number(s):
SAND-2012-9093J; SAND-2016-11112J; PII: 971
Journal Information:
Mathematical Programming, Vol. 157, Issue 1; ISSN 0025-5610
Publisher:
SpringerCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 19 works
Citation information provided by
Web of Science

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Cited By (3)

Large-scale unit commitment under uncertainty: an updated literature survey journal September 2018
A finite $$\epsilon $$-convergence algorithm for two-stage stochastic convex nonlinear programs with mixed-binary first and second-stage variables journal August 2019
Modeling and Solution Techniques Used for Hydro Generation Scheduling journal July 2019