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Affine Arithmetic-Based Methods for Uncertain Power System Analysis

  • 1st Edition - April 7, 2022
  • Latest edition
  • Authors: Alfredo Vaccaro, Antonio Pepiciello
  • Language: English

Affine Arithmetic-Based Methods for Uncertain Power System Analysis presents the unique properties and representative applications of Affine Arithmetic in power systems analys… Read more

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Description

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.

Key features

  • 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

Readership

Early career researchers at graduate or 1st year PhD level studying decision making under uncertainty in power systems analyses. Experienced researchers interested in applying affine arithmetic to power system applications, or those seeking to improve these methodologies would also be key audiences

Table of contents

1) Introduction to reliable computing

a) Interval arithmetic

b) Interval-based operators

c) Solving uncertain systems of equations by range analysis

d) Limitations of Interval arithmetic

2) Elements of Affine Arithmetic

a) Affine Forms

b) Affine Operators

c) Non-affine approximations

d) Solving system of uncertain linear equations

e) Solving system of uncertain non-linear equations

f) Solving uncertain constrained optimization problems

g) Software tools for AA-based processing

3) Uncertain Power Flow Analysis

a) Problem formulation

b) Source of uncertainties in power flow analysis

c) Affine Arithmetic-based solutions

i) Domain contraction method

ii) Optimization-based method

iii) Iterative-based method

d) Numerical examples and comparative analyses

i) Analysis of the IEEE 14 bus test system

ii) Analysis of the IEEE 30 bus test system

iii) Analysis of the IEEE 57 bus test system

iv) Analysis of the IEEE 118 bus test system

v) Analysis of the Polish 2383 bus test system

4) Uncertain Optimal Power Flow Analysis

a) Problem formulation

b) Source of uncertainties in optimal power flow analysis

c) Affine Arithmetic-based solutions

i) Bi-level optimization

ii) Direct method

d) Numerical examples and comparative analyses

i) Optimal Power Dispatch of the IEEE 14 bus test system

ii) Secondary Voltage Regulation of the IEEE 57 bus test system

5) Uncertain Small Signal Stability Analysis

a) Problem formulation

b) Computing eigenvalues of uncertain matrixes

c) Time domain simulations of Uncertain Ordinary Differential Equations

d) Affine Arithmetic-based solutions

e) Numerical examples and comparative analyses

i) Analysis of the IEEE 14 bus test system

6) Uncertain Power System Reliability Analysis

a) Deterministic models for reliability analysis

b) Markov Chains-based models

c) Affine Arithmetic-based methods

d) Numerical examples and comparative analyses

i) Reliability analysis of the IEEE 24-bus reliability test system

ii) Resilience analysis of the IEEE 96-bus reliability test system

7) Data Driven Techniques for affine forms identification

a) Principal Component Analysis

b) A PCA-based approach for noise symbo0ls identification

c) Numerical Examples and comparative analyses

i) Optimal voltage regulation of the IEEE 118 bus test system

ii) Uncertain Power Flow Analysis of the Polish 2383 bus test system

Product details

  • Edition: 1
  • Latest edition
  • Published: April 7, 2022
  • Language: English

About the authors

AV

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.
Affiliations and expertise
Associate Professor of Electric Power Systems at the Department of Engineering, Faculty of Engineering of University of Sannio, Italy

AP

Antonio Pepiciello

Antonio Pepiciello received his B.S., M.S. and PhD in energy engineering from University of Sannio, Benevento, Italy, where he is currently a postdoctoral scholar. His research interests include integration of renewable energy sources in power systems, power system dynamics, decision making under uncertainty and time synchronization of sensor networks.
Affiliations and expertise
Postdoctoral Scholar, University of Sannio, Benevento, Italy

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