Relaxations and Decomposition in Power Systems Operations

Gonzalo E. Constante-Flores and Antonio J. Conejo
Additional contact information
Gonzalo E. Constante-Flores: Purdue University
Antonio J. Conejo: The Ohio State University

Chapter Chapter 7 in Optimization via Relaxation and Decomposition, 2025, pp 193-236 from Springer

Abstract: Abstract This chapter addresses optimization problems associated with the secure and economic operation of large-scale power systems. We apply the decomposition techniques discussed earlier in the book to two realistic examples for power systems operations. The chapter explores the use of multiple variants of Benders decomposition to solve the security-constrained unit commitment problem, incorporating enhancements such as (i) multi-cut strategies, (ii) valid inequalities, and (iii) adding representative scenarios to the master problem to improve computational efficiency and scalability. We also explore Augmented Lagrangian Decomposition to solve the multi-area DC optimal power flow problem, focusing on a decentralized optimization framework that render the same solution as the centralized one. Numerical experiments on realistic test systems illustrate the effectiveness of the proposed methods in achieving reliable and cost-effective operation. We present key remarks regarding computational trade-offs and practical implementation challenges.

Keywords: Energy; engineering; applications (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:isochp:978-3-031-87405-5_7

Ordering information: This item can be ordered from
http://www.springer.com/9783031874055

DOI: 10.1007/978-3-031-87405-5_7

Access Statistics for this chapter

More chapters in International Series in Operations Research & Management Science from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().