A New Mathematical Model for the Restoration Problem in Balanced Radial Distribution Systems

Abstract

This paper presents a comprehensive mathematical model to solve the restoration problem in balanced radial distribution systems. The restoration problem, originally modeled as mixed integer nonlinear programming, is transformed into a mixed integer second-order cone programming problem, which can be solved efficiently using several commercial solvers based on the efficient optimization technique family branch and bound. The proposed mathematical model considers several objectives in a single objective function, using parameters to preserve the hierarchy of the different objectives: 1) maximizing the satisfaction of the demand, 2) minimizing the number of switch operations, 3) prioritizing the automatic switch operation rather than a manual one, and 4) prioritizing especial loads. General and specialized tests were carried out on a 53-node test system, and the results were compared with other previously proposed algorithms. Results show that the mathematical model is robust, efficient, flexible, and presents excellent performance in finding optimal solutions.

Robust Power Supply Restoration for Self-Healing Active Distribution Networks Considering the Availability of Distributed Generation

“…The performance assessment is carried out based on a 53-bus distribution network with the topology and parameters (branch and node) adopted from literature [13], as illustrated in Figure 4. The detailed node and branch data are given in Tables A1 and A2 in Appendix A, respectively.…”

“…3, 11 and 14) which may bring about most adverse impacts on network operation are studied, respectively. Table 1 presents the identified corrective actions of switchers in proposed power supply restoration process under these three single-fault cases by using the solution from [13] as a comparison benchmark. It shows that the proposed solution outperforms the existing solution with less total number of switcher operations under the condition of w/o DGs as the minimization of power flow changes on failure-free sections is included in the proposed solution.…”

“…The power restoration methods based on topology reconfiguration were extensively investigated in [13][14][15]. In [13], a comprehensive mathematical model to address the restoration problem in balanced radial distribution systems was presented, which formulated various optimization objectives into one objective function, including minimization of switcher operations, maximization of demand satisfaction, and prioritization in critical loads and automatic switcher operations.…”

“…In [13], a comprehensive mathematical model to address the restoration problem in balanced radial distribution systems was presented, which formulated various optimization objectives into one objective function, including minimization of switcher operations, maximization of demand satisfaction, and prioritization in critical loads and automatic switcher operations. In [14], a graph-theoretic power restoration solution that maximizes the restored load and minimizes the switching operations was presented.…”

Reconfiguração ótima para cortes de cargas em sistemas de distribuição de energia elétrica

“…Nesta seção é apresentada a metodologia que envolve um problema não-linear inteiro misto para reconfiguração, aplicado ao sistema de distribuição de energia elétrica. O modelo matemático proposto está baseado na proposta de restauração de (ROMERO et al, 2015 …”