A primal-dual penalty-interior-point method for solving the reactive optimal power flow problem with discrete control variables

Author(s)

Delgado, Jessica A. ; Baptista, Edmea C. ; Balbo, Antonio R. ; Soler, Edilaine M. ; Silva, Diego N. ; Martins, Andre C. P. ; Nepomuceno, Leonardo

• Document type: Journal article
• Source: INTERNATIONAL JOURNAL OF ELECTRICAL POWER & ENERGY SYSTEMS; v. 138, p. 16-pg., 2022-06-01.

Abstract

The Optimal Reactive Power Flow (ORPF) problem has been used as an important computational tool for power system planning and operation. Its mixed-discrete version (DORPF) is formulated as a non-convex, non-linear optimization problem with discrete and continuous variables, which is aimed at minimizing the transmission losses while meeting the power demand and enforcing operational and physical limits of the system. Although the DORPF problem has been solved by a myriad of methods, some of them present regularization problemsassociated with poor matrix-conditioning in the optimal solution, some do not provide for rapid infeasibilitydetection and some do not provide effective ways for handling the discrete nature of the control variables.Although some of these complicating issues have been tackled separately in the literature by various studies,a method that addresses all these issues has not yet been proposed for solving the DORPF problem. In thispaper, an integration of optimization approaches is proposed for handling all such complicating issues. Thebasis of this approach is a primal-dual penalty-interior-point method, which integrates the good properties ofpenalty methods (e.g. regularization effects on the constraints and rapid infeasibility detection) and interior-point methods (e.g. scalability and good convergence behavior), without suffering from their dis advantages.In the proposed approach, this method is integrated with a sinusoidal penalty function method for handling the discrete nature of the control variables of the DORPF problem, together with a specific inertia correction strategy designed to avoid local maximizers associated with such a penalty function. Numerical tests carried out with the IEEE 30-, 57-, 118- and 300-bus systems focus on showing that all the complicating issues have been addressed by the proposed method. Comparisons with the results obtained by interior-point methods are also provided (AU)

• FAPESP's process: 17/24135-3 - Interior points method and penalty for resolution of reactive optimal power flow problem with discrete control variables
• Grantee: Jéssica Antonio Delgado
• Support Opportunities: Scholarships in Brazil - Doctorate
• FAPESP's process: 14/20853-0 - Interior/exterior point and smoothing functions hybrid methods in environmental/economic dispatch multiobjective problems
• Grantee: Antonio Roberto Balbo
• Support Opportunities: Regular Research Grants
• FAPESP's process: 13/18036-1 - Multiperiod auction model for Pool-Based electricity markets
• Grantee: Leonardo Nepomuceno
• Support Opportunities: Regular Research Grants