Del i serien IEEE Press Series on Power and Energy Systems

Interval Methods for Uncertain Power System Analysis

Inbunden, Engelska, 2023

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Interval Methods for Uncertain Power System Analysis In Interval Methods for Uncertain Power System Analysis, accomplished engineer Dr. Alfredo Vaccaro delivers a comprehensive discussion of the mathematical foundations of range analysis and its application to solving traditional power system operation problems in the presence of strong and correlated uncertainties. The book explores highly relevant topics in the area, from interval methods for uncertainty representation and management to a variety of application examples. The author offers readers the latest methodological breakthroughs and roadmaps to implementing the mathematics discussed within, as well as best practices commonly employed across the industry. Interval Methods for Uncertain Power System Analysis includes examinations of linear and non-linear equations, as well as: A thorough introduction to reliable computing, including discussions of interval arithmetic and interval-based operatorsComprehensive explorations of uncertain power flow analysis, including discussions of problem formulation and sources of uncertainty in power flow analysisIn-depth examinations of uncertain optimal power flow analysisFulsome discussions of uncertain small signal stability analysis, including treatments of how to compute eigenvalues of uncertain matricesPerfect for engineers working in power flow and optimal power flow analyses, optimization theory, and computer aided simulation, Interval Methods for Uncertain Power System Analysis will also earn a place in the libraries of researchers and graduate students studying decision making under uncertainty in power systems operation.

Produktinformation

Utgivningsdatum2023-07-25
Mått157 x 235 x 13 mm
Vikt476 g
FormatInbunden
SpråkEngelska
SerieIEEE Press Series on Power and Energy Systems
Antal sidor144
FörlagJohn Wiley & Sons Inc
ISBN9781119855040

Tillhör följande kategorier

Energiteknik inom Naturvetenskap och teknik

About the Author ixPreface xiAcknowledgments xiiiAcronyms xvIntroduction 11 Introduction to Reliable Computing 31.1 Elements of Reliable Computing 41.2 Interval Analysis 71.3 Interval-Based Operators 81.4 Interval Extensions of Elementary Functions 91.5 Solving Systems of Linear Interval Equations 111.6 Finding Zeros of Nonlinear Equations 151.7 Solution of Systems of Nonlinear Interval Equations 161.8 The Overestimation Problem 201.9 Affine Arithmetic 221.9.1 Conversion Between AA and IA 251.9.2 AA-Based Operators 251.9.3 Chebyshev Approximation of Univariate Nonaffine Functions 281.9.4 Multiplication of Affine Forms 311.9.5 Effects of Recursive Solution Schemes 351.10 Integrating AA and IA 352 Uncertain Power Flow Analysis 372.1 Sources of Uncertainties in Power Flow Analysis 392.2 Solving Uncertain Linearized Power Flow Equations 412.3 Solving Uncertain Power Flow Equations 462.3.1 Optimization-Based Method 482.3.2 Domain Contraction Method 523 Uncertain Optimal Power Flow Analysis 593.1 Range Analysis-Based Solution 613.1.1 Optimal Economic Dispatch 633.1.2 Reactive Power Dispatch 663.2 AA-Based Solution 704 Uncertain Markov Chain Analysis 754.1 Mathematical Preliminaries 774.2 Effects of Data Uncertainties 784.3 Matrix Notation 794.4 AA-Based Uncertain Analysis 804.5 Application Examples 834.5.1 Case Study 1: Grid Resilience Analysis 834.5.2 Case Study 2: Energy Storage Model 844.5.3 Summary 865 Small-Signal Stability Analysis of Uncertain Power Systems 875.1 Problem Formulation 895.2 The Interval Eigenvalue Problem 905.3 Applications 925.3.1 Case Study 1 925.3.2 Case Study 2 936 Uncertain Power Components Thermal Analysis 956.1 Thermal Rating Assessment of Overhead Lines 966.1.1 Sources of Data Uncertainties 986.1.2 AA-Based Thermal Rating Assessment 996.1.3 Application Examples 1006.2 Thermal Rating Assessment of Power Cables 1046.2.1 Thermal Modeling of Power Cables 1056.2.2 Sources of Data Uncertainties 1076.2.3 Tolerance Analysis of Cable Thermal Dynamics by IA 1086.2.4 Application Examples 109References 112Index 119