Sequencing paths of optimal control adjustments determined by the optimal reactive dispatch via Lagrange multiplier sensitivity analysis

Author(s)

Barros, Rafael Martins ; Lage, Guilherme Guimaraes ; Lira Rabelo, Ricardo de Andrade

• Document type: Journal article
• Source: European Journal of Operational Research; v. 301, n. 1, p. 13-pg., 2022-08-16.

Abstract

Optimal power flows play a key role in power system operation planning. While most papers in the literature focus on attaining optima, sequencing paths of optimal control adjustments that lead the sys-tem from an initial operating point towards the optimum remain scarcely accounted for. Thus, this work proposes a practical framework based upon power system steady-state analysis for sequencing strictly feasible paths of optimal control adjustments determined by the Optimal Reactive Dispatch (ORD) via Lagrange multiplier sensitivity analysis. The proposed framework is methodologically founded on the re-formulation of the ORD in terms of optimal control adjustments rather than optimal control values, suc-cessive Newton's power flow calculations to assure a strictly feasible path from the initial operating point towards the optimum, and successive resolutions of the reformulated ORD's associated dual problem to determine Lagrange multipliers along such sequence path. Thus, pondering optimal control adjustments by their respective Lagrange multipliers indicates which control action must be realised. Numerical re-sults for IEEE test-systems with up to 300 buses with an increased number of controllable variables are obtained to validate and illustrate the efficiency and robustness of the proposed framework.(c) 2021 Elsevier B.V. All rights reserved. (AU)

• FAPESP's process: 19/25104-0 - Dynamic mixed integer nonlinear programming applied to the resolution of the optimal power flow problem incorporating the definition of sequences of control adjustments
• Grantee: Guilherme Guimarães Lage
• Support Opportunities: Regular Research Grants