
Affine Arithmetic-Based Methods for Uncertain Power System Analysis
- 1st Edition - April 13, 2022
- Imprint: Elsevier
- Authors: Alfredo Vaccaro, Antonio Pepiciello
- Language: English
- Paperback ISBN:9 7 8 - 0 - 3 2 3 - 9 0 5 0 2 - 2
- eBook ISBN:9 7 8 - 0 - 3 2 3 - 9 0 5 0 3 - 9
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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- 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
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
- Edition: 1
- Published: April 13, 2022
- Imprint: Elsevier
- Language: English
AV
Alfredo Vaccaro
AP