Journal ArticleDOI
Modified Affine Arithmetic-Based Power Flow Analysis with Uncertainty
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A modified affine arithmetic-based power flow analysis is proposed that needs less computational memory and gives tighter bounds on voltage magnitudes and angles of the system buses for a given uncertainty range of load and generation powers as compared to existing affineithmetic-basedPower flow analysis.Abstract:
Power flow studies are very important and are essential for fault analysis and stability analysis. Conventional Newton–Raphson-based power flow analysis is for fixed loads and generations. However, load and generation powers are uncertain due to factors like forecasting error, sudden outages, etc. Monte Carlo was widely used for power flow analysis with uncertainty. Due to excessive computational time involved in Monte Carlo, affine arithmetic-based power flow analysis was introduced. In the present work, a modified affine arithmetic-based power flow analysis is proposed. The proposed method needs less computational memory and gives tighter bounds on voltage magnitudes and angles of the system buses for a given uncertainty range of load and generation powers as compared to existing affine arithmetic-based power flow analysis. The proposed method is implemented on IEEE 30 and IEEE 118 bus systems and detailed simulation results are presented. The results are compared with Monte Carlo simulations as...read more
Citations
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Journal ArticleDOI
Capacitor placement and sizing to minimize losses in a radial distribution network considering uncertainty using modified affine arithmetic division
TL;DR: The present work incorporates modified AA division which does not generate any additional noises, thereby improving the accuracy and the results show that the proposed modified AA method is accurate than existing interval arithmetic-based method.
Proceedings ArticleDOI
Backward/Forward Sweep based Power Flow Analysis of Distribution Systems under Uncertainty using New Affine Arithmetic Division
TL;DR: Backward/forward sweep (BFS) based power flow analysis, which do not generate any extra noise terms, is proposed and simulation results show that the proposed method is more accurate than existing AA-BFS basedPower flow analysis.
Journal ArticleDOI
CLOES: cross-layer optimal energy scheduling mechanism in a smart distributed multi-microgrid system
TL;DR: A cross-layer optimal energy scheduling mechanism in a multimicrogrid system, covering different elements of a community in a smart city such as industry, commercial/office, single residence and multi-dwelling unit with their varied nature of distributed generations and loads, is presented.
Proceedings ArticleDOI
Continuation Power Flow Analysis of Distribution Systems under Uncertainty using Modified Affine Arithmetic
TL;DR: In this paper, a range arithmetic analysis known as Affine Arithmetic (AA) with modifications is used to incorporate the uncertainties associated with loads and generations in CPF analysis of distribution systems.
Journal ArticleDOI
A New Affine Arithmetic-Based Optimal Network Reconfiguration to Minimize Losses in a Distribution System Considering Uncertainty Using Binary Particle Swarm Optimization
Vinod Raj,Boddeti Kalyan Kumar +1 more
TL;DR: Simulation results show that proposed AA based analysis gives an optimal reconfiguration, for both balanced and unbalanced radial distribution systems with uncertainty as compared to existing IA based method.
References
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Self-validated numerical methods and applications
TL;DR: This monograph gives an overview of the eld of self-validated numerics|computation models in which approximate results are automatically provided with guaranteed error bounds, and focuses on two such models: interval arithmetic and aane arithmetic.
Journal ArticleDOI
Affine Arithmetic: Concepts and Applications
TL;DR: The main concepts in affine arithmetic are explained and how it handles the dependency problem in standard interval arithmetic is explained.
Journal ArticleDOI
Interval arithmetic in power flow analysis
Z. Wang,Fernando L. Alvarado +1 more
TL;DR: Object-oriented programming techniques makes it possible to use interval arithmetic with minimal modifications to existing software, but to reduce the conservatism inherent in all interval arithmetic computations, an iterative method is used to obtain the hull of the solution set.
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Probabilistic Power Flow by Monte Carlo Simulation With Latin Supercube Sampling
TL;DR: A Latin supercube sampling (LSS) combined with Monte Carlo simulation is presented to efficiently sample random variables in the probabilistic power flow (PPF) problem.
Journal ArticleDOI
An Affine Arithmetic-Based Methodology for Reliable Power Flow Analysis in the Presence of Data Uncertainty
TL;DR: In this article, the authors proposed a new solution methodology based on the use of affine arithmetic, which is an enhanced model for self-validated numerical analysis in which the quantities of interest are represented as affine combinations of certain primitive variables representing the sources of uncertainty in the data or approximations made during the computation.