Affiliation:
1. Department of Electronics, Information and Bioengineering, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133 Milan, ITALY
Abstract
In this work the parameters of an unbalanced three-phase component, such as a load or a transmission line, are described as random variables with known statistical properties. It is well-known that phase unbalancing leads to injected current in the negative-sequence circuit producing propagation of voltage unbalance and malfunctioning of power system components. In this paper, the injected current is described in probabilistic terms as a function of the statistical properties of the component unbalancing. In particular, approximate expressions for the probability density function, the mean value, and the variance of the injected current are derived in closed form and numerically validated.
Publisher
World Scientific and Engineering Academy and Society (WSEAS)
Subject
Electrical and Electronic Engineering,Energy (miscellaneous)
Reference24 articles.
1. C. L. Fortescue, Method of symmetrical coordinates applied to the solution of polyphase networks, Trans. AIEE, vol. 37, 1918, pp. 1027-1140.
2. G. Chicco, P. Postolache, and C. Toader, Analysis of three-phase systems with neutral under distorted and unbalanced conditions in the symmetrical component-based framework, IEEE Trans. on Power Delivery, vol. 22, no.1, 2007, pp. 674-683.
3. Cornelia A. Bulucea, Doru A. Nicola, Carmen A. Bulucea, Comprehensive Analysis Dedicated to Three-phase Power Transformer With Three-phase Bridge in AC/DC Traction Substations, WSEAS Transactions on Systems and Control, vol. 14, 2019, pp. 306-318.
4. J. C. Das, Understanding symmetrical components for power system modeling. Piscataway, NJ: IEEE Press, 2017.
5. D. Bellan, G. Superti Furga, and S. A. Pignari, Circuit representation of load and line asymmetries in three-phase power systems, International Journal of Circuits, Systems and Signal Processing, vol. 9, 2015, pp. 75-80.