Relative distance measure arithmetic‐based available transfer capability calculation with uncertainty in wind power generation

Summary The evaluation of available transfer capability (ATC) is significant as it provides valuable information regarding the remaining transfer capability, after meeting existing commitments, for the system operators and market participants in a deregulated electricity market. The penetration of w...

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Published in:International transactions on electrical energy systems Vol. 31; no. 11
Main Authors: Alamanda, Sudheer Kumar, Boddeti, Kalyan Kumar
Format: Journal Article
Language:English
Published: Hoboken John Wiley & Sons, Inc 01.11.2021
Subjects:
Computing time
Deregulation
Electric power generation
generation cost
Interval arithmetic
Linear programming
linear programming problem (LPP)
Mathematical analysis
mixed integer linear programming (MILP) problem
Monte Carlo simulation
Operators (mathematics)
Optimization
relative distance measure (RDM) interval arithmetic
Simulation
transfer capability
Uncertainty
Wind power
Wind power generation
ISSN:2050-7038, 2050-7038
Online Access:Get full text
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Summary:Summary The evaluation of available transfer capability (ATC) is significant as it provides valuable information regarding the remaining transfer capability, after meeting existing commitments, for the system operators and market participants in a deregulated electricity market. The penetration of wind power generation is increasing significantly in modern power systems. Wind power generation is highly intermittent and uncertain. In literature, ATC is calculated with uncertainty in wind power generation using probabilistic density functions (PDFs). However, the PDFs of wind power generation are not always easily available. Range arithmetic is an efficient way of representing an uncertain variable without the need of PDF of that particular variable. Relative distance measure (RDM) arithmetic is one of such range arithmetic methods. In this paper, uncertainty in wind power generation is modelled using relative distance measure arithmetic. The optimization problem for finding ATC range with uncertainty is posed as two continuous linear programming problems (LPPs) in RDM arithmetic. As LPP is a convex inherently, the proposed RDM‐arithmetic based ATC calculation method guarantees a global optimal solution. The proposed RDM‐arithmetic method is tested on IEEE 30‐Bus and IEEE 118‐Bus systems. The simulation results are compared with Monte Carlo simulation (MCS) based ATC and interval arithmetic‐based ATC. It is observed from the simulation results that MCS underestimates ATC bounds and interval arithmetic overestimates. It is also observed that proposed RDM arithmetic‐based ATC calculation method takes significantly less computational time as compared to MCS and interval arithmetic‐based ATC calculation method. Relative distance measure arithmetic (RDMA) based ATC calculation with uncertainty in wind power generation is proposed. The uncertainty in wind power generation is considered as a range. Further, using ROMA, the interval optimization of ATC evaluation is converted into a deterministic, linear programming problem. As the proposed method is convex, it guarantees a global optimal solution.
Bibliography:Handling AE
Prof. Proto, Daniela
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ISSN:2050-7038
2050-7038
DOI:10.1002/2050-7038.13112