Affine Arithmetic-Based Methods for Uncertain Power System Analysis

By Alfredo Vaccaro and Antonio Pepiciello

Affine Arithmetic-Based Methods for Uncertain Power System Analysis presents the unique properties and representative applications of Affine Arithmetic in power systems analysis, particularly as they are deployed for reliability optimization. The work provides a comprehensive foundation in Affine Arithmetic necessary to understand the central computing paradigms that can be adopted for uncertain power flow and optimal power flow analyses. These paradigms are adapted and applied to case studies, which integrate benchmark test systems and full step-by-step procedure for implementation so that readers are able to replicate and modify. The work is presented with illustrative numerical examples and MATLAB computations.

• Provides a uniquely comprehensive review of affine arithmetic in both its core theoretical underpinnings and their developed applications to power system analysis
• Details the exemplary benefits derived by the deployment of affine arithmetic methods for uncertainty handling in decision-making processes
• Clarifies arithmetical complexity and eases the understanding of illustrative methodologies for researchers in both power system and decision-making fields

• Language: English
• Publisher: Elsevier Science
• Release date: Apr 7, 2022
• ISBN: 9780323905039

Alfredo Vaccaro

Alfredo Vaccaro received his MSc degree cum laude and commendation in Electronic Engineering from the University of Salerno, Italy, and his PhD in Electrical and Computer Engineering from University of Waterloo, Ontario, Canada. He was formerly research fellow at the Power System Group of the Department of Electrical and Information Engineering (DIIIE) of University of Salerno. He then joined the Electric Power Systems at the Department of Engineering, Faculty of Engineering of University of Sannio, where he is now Associate Professor. He has also been chair of the Research & Development Committee of the Opera21 Group SpA in the field of Advanced Information and Communications Technologies for Smart Grids, Task Leader of the strategic scientific initiatives of the Research Consortium on Agent Systems in the field of Smart Energy Networks, and Scientific Director of the bureau of the Research Centre on Pure and Applied Mathematics at the Department of Engineering, University of Sannio.

Book preview

Chapter 1: Uncertainty management in power systems

State of the art and enabling methodologies

Abstract

The increasing penetration of renewable energy sources, the expected electrification of transports, and the volatility of energy prices require new mathematical models to reliably operate modern power systems. Deterministic methods are becoming unsuitable to represent real systems, which are affected by an increasing amount of uncertainty sources. This chapter provides an overview of the main mathematical methodologies based on both probabilistic and non-probabilistic methods to handle uncertainty sources in power system analysis.

Keywords

Uncertainty; Affine arithmetic; Probabilistic methods; Uncertain power system analysis

Power system operators require sophisticated numerical tools aimed at analyzing the current and the expected operation states, guaranteeing secure and reliable grid operation. In this context, numerical programming represents the mathematical backbone supporting the most fundamental power engineering tools, such as Power Flow (PF) and Optimal Power Flow (OPF) analyses, state estimation, voltage and frequency regulation, and contingency analysis. These studies could also support the development of advanced operations tools for integrated systems management, such as reliability and resilience assessment of multi-carrier energy systems, or optimal energy flow management in distributed energy hubs, which are relevant applications in the light of the evolution of modern power grids towards more integrated, smarter, and sustainable