A novel approach for harmonic responsibility assessment based on an optimization model

This paper presents a novel approach for harmonic responsibility assessment based on an optimization problem solved by safety barrier interior point method. In the proposed methodology, a power quality monitor is installed at the point of common coupling of a distribution system Norton equivalent ci...

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Bibliographic Details
Published inElectrical engineering Vol. 104; no. 5; pp. 2923 - 2934
Main Authors Melo, Igor D., Antunes, Matheus P.
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 2022
Springer Nature B.V
Subjects
Circuits
Constraint modelling
Economics and Management
Electric potential
Electrical Engineering
Electrical Machines and Networks
Energy Policy
Engineering
Equivalent circuits
Optimization
Optimization models
Original Paper
Parameter uncertainty
Phasors
Power Electronics
Safety barriers
State variable
Superposition (mathematics)
Voltage
Harmonic responsibility
Harmonic distortion
Power quality
Optimization
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Summary:This paper presents a novel approach for harmonic responsibility assessment based on an optimization problem solved by safety barrier interior point method. In the proposed methodology, a power quality monitor is installed at the point of common coupling of a distribution system Norton equivalent circuit in order to measure voltage and current phasors continuously obtained from the network in regular time intervals. In order to determine customer and utility contributions, a state variables vector is formed by harmonic currents and impedances from both sides being modeled in rectangular coordinates. The objective function to be minimized is the sum of the quadratic differences between measured current and voltage phasors and their corresponding values calculated as function of the state variables. Uncertainties associated with the network impedances are handled as inequality constraints of the optimization model. Based on superposition principle, indices are proposed for determining harmonic responsibility sharing based on the estimated variables. Results are validated by different case studies considering the effect of measurement accuracy, uncertain parameters and number of samples used for the estimation process.
ISSN:0948-7921
1432-0487
DOI:10.1007/s00202-022-01520-9