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Open AccessArticle

Estimation of Impedance and Susceptance Parameters of a 3-Phase Cable System Using PMU Data

1
Electrical Energy Systems Group, Eindhoven University of Technology, 5600 MB Eindhoven, The Netherlands
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VSL, 2629 JA Delft, The Netherlands
*
Author to whom correspondence should be addressed.
Energies 2019, 12(23), 4573; https://doi.org/10.3390/en12234573
Received: 29 September 2019 / Revised: 28 October 2019 / Accepted: 29 October 2019 / Published: 30 November 2019
(This article belongs to the Special Issue 2nd International Colloquium on Smart Grid Metrology (SmaGriMet 2019))
This paper proposes a new regression-based method to estimate resistance, reactance, and susceptance parameters of a 3-phase cable segment using phasor measurement unit (PMU) data. The novelty of this method is that it gives accurate parameter estimates in the presence of unknown bias errors in the measurements. Bias errors are fixed errors present in the measurement equipment and have been neglected in previous such attempts of estimating parameters of a 3-phase line or cable segment. In power system networks, the sensors used for current and voltage measurements have inherent magnitude and phase errors whose measurements need to be corrected using calibrated correction coefficients. Neglecting or using wrong error correction coefficients causes fixed bias errors in the measured current and voltage signals. Measured current and voltage signals at different time instances are the variables in the regression model used to estimate the cable parameters. Thus, the bias errors in the sensors become fixed errors in the variables. This error in variables leads to inaccuracy in the estimated parameters. To avoid this, the proposed method uses a new regression model using extra parameters which facilitate the modeling of present but unknown bias errors in the measurement system. These added parameters account for the errors present in the non- or wrongly calibrated sensors. Apart from the measurement bias, random measurement errors also contribute to the total uncertainty of the estimated parameters. This paper also presents and compares methods to estimate the total uncertainty in the estimated parameters caused by the bias and random errors present in the measurement system. Results from simulation-based and laboratory experiments are presented to show the efficacy of the proposed method. A discussion about analyzing the obtained results is also presented. View Full-Text
Keywords: distribution grid monitoring; cable temperature estimation; cable parameter estimation; PMU application in distribution grid; metrology in smart grids distribution grid monitoring; cable temperature estimation; cable parameter estimation; PMU application in distribution grid; metrology in smart grids
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MDPI and ACS Style

Singh, R.S.; van den Brom, H.; Babaev, S.; Cobben, S.; Ćuk, V. Estimation of Impedance and Susceptance Parameters of a 3-Phase Cable System Using PMU Data. Energies 2019, 12, 4573.

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