Tightening McCormick Relaxations Toward Global Solution of the ACOPF Problem
| Autor: | Anya Castillo, Jean-Paul Watson, Carl D. Laird, Michael Bynum |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Computer science
020209 energy Energy Engineering and Power Technology 02 engineering and technology Topology Upper and lower bounds law.invention Power flow Electric power transmission Test case law 0202 electrical engineering electronic engineering information engineering Electrical and Electronic Engineering Polar coordinate system Computer-aided software engineering Alternating current |
| Zdroj: | IEEE Transactions on Power Systems. 34:814-817 |
| ISSN: | 1558-0679 0885-8950 |
| Popis: | We demonstrate that a strong upper bound on the objective of the alternating current optimal power flow (ACOPF) problem can significantly improve the effectiveness of optimization-based bounds tightening (OBBT) on a number of relaxations. We additionally compare the performance of relaxations of the ACOPF problem, including the rectangular form without reference bus constraints, the rectangular form with reference bus constraints, and the polar form. We find that relaxations of the rectangular form significantly strengthen existing relaxations if reference bus constraints are included. Overall, relaxations of the polar form perform the best. However, neither the rectangular nor the polar form dominates the other. Ultimately, with these strategies, we are able to reduce the optimality gap to less than 0.1% on all but 5 NESTA test cases with up to 300 buses by performing OBBT alone. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|