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Affine arithmetic-based methods for uncertain power system analysis /

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 Ar...

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Bibliographic Details
Main Author: Vaccaro, Alfredo
Corporate Author: ScienceDirect (Online service)
Other Authors: Pepiciello, Antonio
Format: eBook
Language:English
Published: Amsterdam, Netherlands : Elsevier, 2022.
Subjects:
Electric power systems > Mathematics.
Electric power systems > Reliability > Mathematical models.
Réseaux électriques (Énergie) > Mathématiques.
Réseaux électriques (Énergie) > Fiabilité > Modèles mathématiques.
Electric power systems > Mathematics
Electric power systems > Reliability > Mathematical models
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Front Cover
  • Affine Arithmetic-Based Methods for Uncertain Power System Analysis
  • Copyright
  • Contents
  • Preface
  • Acknowledgments
  • 1 Uncertainty management in power systems
  • 1.1 Sampling methods
  • 1.2 Analytical methods
  • 1.3 Approximate methods
  • 1.4 Non-probabilistic methods
  • References
  • 2 Elements of reliable computing
  • 2.1 Interval arithmetic
  • 2.2 Affine arithmetic
  • 2.3 Solving uncertain equations by AA
  • 2.4 Reliable solution of non-linear equations
  • 2.5 Reliable solutions of constrained optimization problems
  • References
  • 3 Uncertain power flow analysis
  • 3.1 Problem formulation
  • 3.2 Affine arithmetic based solution of the power flow equations
  • 3.3 Numerical results
  • 3.3.1 IEEE 30-bus network
  • 3.3.2 IEEE 57-bus network
  • 3.3.3 IEEE 118-bus network
  • 3.3.4 Discussion
  • 3.4 Robust formulation of the power flow equations
  • 3.4.1 Solving the power flow equations
  • 3.5 Case study
  • References
  • 4 Uncertain optimal power flow analysis
  • 4.1 Mathematical background
  • 4.1.1 Uncertain power dispatch analysis
  • 4.1.2 Reactive power dispatch
  • 4.2 Numerical results
  • 4.2.1 Uncertain power dispatch analysis
  • 4.2.2 Reactive power dispatch
  • 4.2.3 Discussion
  • 4.3 Robust formulation of optimal power flow problems
  • 4.4 Case study
  • 4.5 Remarks
  • References
  • 5 Unified AA-based solution of uncertain PF and OPF problems
  • 5.1 Theoretical framework
  • 5.2 Applications
  • 5.2.1 Solving power flow problems
  • 5.2.2 Solving optimal power flow problems
  • 5.3 Numerical results
  • 5.3.1 Power flow analysis
  • 5.3.2 Optimal power dispatch
  • 5.3.3 Optimal voltage regulation
  • 5.4 Computational requirements
  • 5.5 Remarks
  • References
  • 6 Uncertain power system reliability analysis
  • 6.1 Markov Chains
  • 6.1.1 Discrete-Time Markov Chains
  • 6.1.2 Continuous-Time Markov Chains
  • 6.1.3 Effects of data uncertainties
  • 6.1.4 Matrix notation
  • 6.2 Uncertain Markov Chains analysis by AA
  • 6.3 Case studies
  • 6.3.1 Case Study 1: resilience analysis
  • 6.3.2 Case Study 2: energy storage system modeling
  • 6.3.3 Computational effort
  • References
  • 7 Uncertain analysis of multi-energy systems
  • 7.1 Optimal scheduling of an energy hub
  • 7.1.1 Energy hub modeling
  • 7.1.2 Deterministic optimal dispatch
  • 7.2 Case study
  • References
  • 8 Enabling methodologies for reducing the computational burden in AA-based computing
  • 8.1 PF analysis
  • 8.2 OPF analysis
  • 8.3 AA-based computing
  • 8.4 Numerical results
  • 8.4.1 IEEE 30-bus system PF
  • 8.4.2 2383-bus Polish power system PF
  • 8.4.3 118 bus network OPF
  • 8.4.4 AA analysis
  • 8.5 Remarks
  • References
  • 9 Uncertain voltage stability analysis by affine arithmetic
  • 9.1 AA-based calculation of PV curves
  • 9.2 Numerical results
  • 9.2.1 5 bus test system
  • 9.2.2 2383 bus test system
  • 9.2.3 Computational burden and sources of error
  • 9.3 Remarks
  • References