Integrating Statistical Simulation and Optimization for Redundancy Allocation in Smart Grid Infrastructure

Bahram Alidaee, Haibo Wang, Jun Huang and Lutfu S. Sua ()
Additional contact information
Bahram Alidaee: Department of Marketing, School of Business, University of Mississippi, Oxford, MS 38677, USA
Haibo Wang: Department of Marketing, School of Business, Texas A&M International University, Laredo, TX 78041, USA
Jun Huang: Department of Management and Marketing, Angelo State University, San Angelo, TX 76909, USA
Lutfu S. Sua: Department of Marketing and Management, Southern University and A&M College, Baton Rouge, LA 70807, USA

Energies, 2023, vol. 17, issue 1, 1-13

Abstract: It is a critical issue to allocate redundancy to critical smart grid infrastructure for disaster recovery planning. In this study, a framework to combine statistical prediction methods and optimization models for the optimal redundancy allocation problem is presented. First, statistical simulation methods to identify critical nodes of very large-scale smart grid infrastructure based on the topological features of embedding networks are developed, and then a linear integer programming model based on generalized assignment problem (GAP) for the redundancy allocation of critical nodes in smart grid infrastructure is presented. This paper aims to contribute to the field by employing a general redundancy allocation problem (GRAP) model from high-order nonlinear to linear model transformation. The model is specifically implemented in the context of smart grid infrastructure. The innovative linear integer programming model proposed in this paper capitalizes on the logarithmic multiplication property to reframe the inherently nonlinear resource allocation problem (RAP) into a linearly separable function. This reformulation markedly streamlines the problem, enhancing its suitability for efficient and effective solutions. The findings demonstrate that the combined approach of statistical simulation and optimization effectively addresses the size limitations inherent in a sole optimization approach. Notably, the optimal solutions for redundancy allocation in large grid systems highlight that the cost of redundancy is only a fraction of the economic losses incurred due to weather-related outages.

Keywords: redundancy allocation; generalizes assignment problem; simulation; smart grid infrastructure (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/1996-1073/17/1/225/pdf (application/pdf)
https://www.mdpi.com/1996-1073/17/1/225/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jeners:v:17:y:2023:i:1:p:225-:d:1311236

Access Statistics for this article

Energies is currently edited by Ms. Agatha Cao

More articles in Energies from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().