Interval power flow analysis of microgrids with uncertainties: an approach using the second-order Taylor series expansion

This paper presents a novel methodology for power flow analysis of microgrids considering interval uncertainties. In the proposed approach, state variables are considered in polar coordinates in order to calculate voltage magnitudes, angles at each system bus and the system frequency. Distributed Ge...

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Bibliographic Details
Published in:Electrical engineering 2022-06, Vol.104 (3), p.1623-1633
Main Authors: de Sousa, Leticia L. S., Melo, Igor D.
Format: Article
Language:English
Subjects:
Bus interconnections
Computing time
Distributed generation
Economics and Management
Electric potential
Electrical Engineering
Electrical Machines and Networks
Energy Policy
Engineering
Flow equations
Monte Carlo simulation
Original Paper
Polar coordinates
Power Electronics
Power flow
Series expansion
Simulation
Taylor series
Uncertainty
Voltage
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Summary:This paper presents a novel methodology for power flow analysis of microgrids considering interval uncertainties. In the proposed approach, state variables are considered in polar coordinates in order to calculate voltage magnitudes, angles at each system bus and the system frequency. Distributed Generation units are connected to the system using Voltage Source Inverters with their corresponding frequency droop control characteristics. Power flow equations are expanded to their corresponding second-order terms of the Taylor series in order to obtain interval results associated with the voltage and frequency values of the network. Computational simulations are carried out using 33- and 69-bus test systems in order to prove the viability of the proposed method and results are compared to Monte Carlo simulation in order to validate the methodology. Tests are conducted assuming microgrids connected to the main grid and islanded mode operation. The main contribution of this paper is the representation of the frequency droop control equations for interval power flow analysis of microgrids, being possible to obtain interval results of system frequency and voltage profile based on the application of Taylor series ensuring a reduced computational time and accurate interval results when compared with Monte Carlo simulations.
ISSN:0948-7921
1432-0487
DOI:10.1007/s00202-021-01427-x