Large-scale system analysis under uncertainty : with electric power applications / Alejandro D. Domínguez-García, University of Illinois at Urbana-Champaign.

Format:

Book

Author/Creator:

Domínguez-García, Alejandro D., 1977- author.

Language:

English

Subjects (All):

Systems engineering--Risk assessment.

Systems engineering.

Electric power systems--Risk assessment.

Electric power systems.

Uncertainty.

Physical Description:

1 online resource (xv, 337 pages) : digital, PDF file(s).

Edition:

1st ed.

Place of Publication:

Cambridge, United Kingdom ; New York, NY, USA : Cambridge University Press, 2022.

Summary:

Discover a comprehensive set of tools and techniques for analyzing the impact of uncertainty on large-scale engineered systems. Providing accessible yet rigorous coverage, it showcases the theory through detailed case studies drawn from electric power application problems, including the impact of integration of renewable-based power generation in bulk power systems, the impact of corrupted measurement and communication devices in microgrid closed-loop controls, and the impact of components failures on the reliability of power supply systems. The case studies also serve as a guide on how to tackle similar problems that appear in other engineering application domains, including automotive and aerospace engineering. This is essential reading for academic researchers and graduate students in power systems engineering, and dynamic systems and control engineering.

Contents:

Cover

Half-title

Endorsement

Title page

Copyright information

Dedication

Contents

Preface and Acknowledgments

Notation

1 Introduction

1.1 Motivation

1.2 System Models

1.3 Uncertainty Models

1.3.1 Static Systems

1.3.2 Dynamical Systems

1.4 Application Examples

1.4.1 Power Flow Analysis under Active Power Injection Uncertainty

1.4.2 Analysis of Inertia-less AC Microgrids under Power Injection Uncertainty

1.4.3 Reliability Analysis of Static Systems

1.5 Book Road Map

1.6 Notes and References

2 Preliminaries

2.1 Probability and Stochastic Processes

2.1.1 Probability Spaces

2.1.2 Random Variables

2.1.3 Jointly Distributed Random Variables

2.1.4 Random Vectors

2.1.5 Stochastic Processes

2.2 Set Theory

2.2.1 Basic Notions and Notation

2.2.2 Sets in Euclidean Space

2.3 Linear Dynamical Systems

2.3.1 Discrete-Time Systems

2.3.2 Continuous-Time Systems

2.4 Notes and References

3 Static Systems: Probabilistic Input Uncertainty

3.1 Introduction

3.2 Moment Characterization

3.2.1 Linear Setting

3.2.2 Nonlinear Setting

3.3 Distribution Characterization

3.3.1 Linear Setting

3.3.2 Nonlinear Setting

3.4 Performance Characterization

3.4.1 Known Input Moments

3.4.2 Known Input Probability Density Function

3.5 Application to Power Flow Analysis

3.5.1 Power Flow Model

3.5.2 Power Flow Vector Distribution

3.6 Notes and References

4 Static Systems: Probabilistic Structural Uncertainty

4.1 Introduction

4.2 System Stochastic Model

4.3 Markov Process Characterization

4.3.1 Discrete-Time Case

4.3.2 Continuous-Time Case

4.4 Performance Characterization

4.5 Application to Reliability and Availability Analysis

4.5.1 Multi-Component System Input-to-State Characterization.

4.5.2 Systems with Non-Repairable Components

4.5.3 Systems with Repairable Components

4.5.4 Reduced-Order Models

4.6 Notes and References

5 Discrete-Time Systems: Probabilistic Input Uncertainty

5.1 Introduction

5.2 Discrete-Time Linear Systems

5.2.1 Characterization of First and Second Moments

5.2.2 Probability Distribution

5.3 Discrete-Time Nonlinear Systems

5.3.1 Characterization of First and Second Moments

5.3.2 Probability Distribution

5.4 Analysis of Microgrids under Power Injection Uncertainty

5.4.1 System Model

5.4.2 Average Frequency Error Statistical Characterization

5.4.3 Phase Angle Statistical Characterization

5.5 Notes and References

6 Continuous-Time Systems: Probabilistic Input Uncertainty

6.1 Introduction

6.2 Continuous-Time Linear Systems

6.2.1 Characterization of First and Second Moments

6.2.2 Gaussian Systems

6.3 Continuous-Time Nonlinear Systems

6.3.1 Moments

6.3.2 Probability Distribution

6.4 Analysis of Microgrids under Sensor Measurement Uncertainty

6.4.1 System Model

6.4.2 Average Frequency Error Statistical Characterization

6.5 Notes and References

7 Static Systems: Set-Theoretic Input Uncertainty

7.1 Introduction

7.2 Ellipsoid-Based Input Set Description

7.2.1 Linear Setting

7.2.2 Nonlinear Setting

7.3 Zonotope-Based Input Set Description

7.3.1 Linear Setting

7.3.2 Nonlinear Setting

7.4 Performance Requirements Verification

7.5 Application to Power Flow Analysis

7.5.1 Power Flow Model

7.5.2 Ellipsoidal-Based Description of Possible Extraneous Power Injection Values

7.5.3 Zonotope-Based Description of Possible Extraneous Power Injection Values

7.6 Notes and References

8 Discrete-Time Systems: Set-Theoretic Input Uncertainty

8.1 Introduction

8.2 Discrete-Time Linear Systems.

8.2.1 Ellipsoidal-Based Input Description

8.2.2 Choice of Parameter γ[sub(k)]

8.2.3 Deterministic Inputs

8.3 Discrete-Time Nonlinear Systems

8.4 Performance Requirements Verification

8.5 Analysis of Microgrids under Power Injection Uncertainty

8.5.1 System Model

8.5.2 Characterization of the Set Containing the Average Frequency Error

8.5.3 Characterization of Set Containing the Bus Phase Angles

8.6 Notes and References

9 Continuous-Time Systems: Set-Theoretic Input Uncertainty

9.1 Introduction

9.2 Continuous-Time Linear Systems

9.2.1 Choice of Parameter β(t)

9.2.2 Deterministic Inputs

9.3 Continuous-Time Nonlinear Systems

9.4 Performance Requirements Verification

9.5 Case Studies

9.5.1 Buck Converter

9.5.2 Three-Bus Power System

9.6 Notes and References

Appendix A Mathematical Background

A.1 Vectors

A.2 Matrices

A.3 Functions

A.4 Notes and References

Appendix B Power Flow Modeling

B.1 Transmission Line Lumped-Parameter Model

B.2 Network Admittance Matrix

B.3 Power Flow Equations

B.4 Network Flow Model

B.5 Per-Unit Normalization

B.6 Notes and References

References

Index.

Notes:

Title from publisher's bibliographic system (viewed on 17 Jan 2022).

ISBN:

1-108-12929-3

1-108-12385-6

OCLC:

1306055880