Exploiting the Use of DC SCOPF Approximation to Improve Iterative AC SCOPF Algorithms

Abstract

This paper focuses on improving the solution techniques for the AC SCOPF problem of active power dispatch by using the DC SCOPF approximation within the SCOPF algorithm. Our approach brings two benefits compared to benchmark SCOPF algorithms: it speeds-up the solution of an iterative AC SCOPF algorithm thanks to a more efficient identification of binding contingencies, and allows improving the objective by an appropriate choice of a limited number of corrective actions for each contingency. The proposed approach is illustrated on 5 test systems of 60, 118, 300, 1203, and 2746 buses.

A Generic Approach for Solving Nonlinear-Discrete Security-Constrained Optimal Power Flow Problems in Large-Scale Systems

“…Further work is also planned to develop a scalable method to pre-select a limited number of efficient corrective actions to be used in the SCOPF "corrective also" mode [19]. Louis Wehenkel graduated in Electrical Engineering (Electronics) in 1986 and received the Ph.D. degree in 1990, both from the University of Liège, where he is full Professor of Electrical Engineering and Computer Science.…”

“…These approaches require first solving a continuous relaxation of the SCOPF problem, for which the following state-of-the-art methods have been used [3]: sequential linear programming (SLP) [1,6,7,18], Newton method [2,5], interior-point method (IPM) [8,9,10,13,17,19], and conic programming [20].…”

“…SCOPF problems are solved by either decomposition [4] into the separate and successive optimization of the so-called active-power sub-problem [5,6,7,8,9,19,21] and reactive power sub-problem [5,18,20,21], or by a full approach that optimizes jointly both active and reactive powers [1,2,8,9,10,13,17].…”

“…[18] uses a SLP for the 3551 buses UK system, Ref. [19] relies on the IPM for a 2746 buses Polish system, Ref. [20] employs a conic programming for a 2383-bus Polish system, and Ref.…”

Experiments with the interior-point method for solving large scale Optimal Power Flow problems

“…Newton method was applied to a 2436-bus grid [23], a non-interior point complementarity method was applied to a 2098-bus system [16,24], a modified barrier Lagrangian function was applied to a 2111-bus system [25], a modified barrier approach was applied to a 2256-bus system [26], and a trust-region based augmented Lagrangian method was applied to network models of 2935 buses [21] and 3012 buses [22]. Furthermore, although several commercial NLP SCOPF packages are available from various vendors [27][28][29], and are routinely used by many system operators, the scientific literature reporting on experiments using SCOPF solvers on large-scale systems is quite limited except of the following works: [30] uses an SLP approach for a model of 12,965 buses, [29] relies on an interior-point solver for a 2351-bus network, [31] employs a conic programming for a 2383-bus Polish system, [32] relies on the IPM for a 2746-bus Polish system, [22] applies IPM to a 3012-bus grid, [33] uses a SLP for the 3551 buses UK system, and [34] uses a method combining IPM and conjugate gradient for a 15,000 bus European system.…”