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

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Abstract

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.

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Acknowledgements

The authors would like to thank UFJF, CAPES and CNPq for supporting this research.

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Authors and Affiliations

  1. Universidade Federal de Juiz de Fora, Juiz de Fora, Brazil

    Leticia L. S. de Sousa & Igor D. Melo

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  1. Leticia L. S. de Sousa
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  2. Igor D. Melo
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Correspondence to Leticia L. S. de Sousa.

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de Sousa, L.L.S., Melo, I.D. Interval power flow analysis of microgrids with uncertainties: an approach using the second-order Taylor series expansion. Electr Eng 104, 1623–1633 (2022). https://doi.org/10.1007/s00202-021-01427-x

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