Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 32731
A Linear Relation for Voltage Unbalance Factor Evaluation in Three-Phase Electrical Power System Using Space Vector

Authors: Dana M. Ragab, Jasim A Ghaeb


The Voltage Unbalance Factor (VUF) index is recommended to evaluate system performance under unbalanced operation. However, its calculation requires complex algebra which limits its use in the field. Furthermore, one system cycle is required at least to detect unbalance using the VUF. Ideally unbalance mitigation must be performed within 10 ms for 50 Hz systems. In this work, a linear relation for VUF evaluation in three-phase electrical power system using space vector (SV) is derived. It is proposed to determine the voltage unbalance quickly and accurately and to overcome the constraints associated with the traditional methods of VUF evaluation. Aqaba-Qatrana-South Amman (AQSA) power system is considered to study the system performance under unbalanced conditions. The results show that both the complexity of calculations and the time required to evaluate VUF are reduced significantly.

Keywords: Power quality, space vector, unbalance evaluation.

Digital Object Identifier (DOI):

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 872


[1] D. Chapman, " Power Quality Guide Application: Introduction", Elect. Eng. Res, CDA. Europe, 2001.
[2] J. Huang and Z. Jiang, "Power Quality Assessment of Different Load Categories", Energy Procedia, vol. 141, pp. 345-351, 2017.
[3] D. Zhang, R. An and T. Wu, "Effect of Voltage Unbalance and Distortion on the Loss Characteristics of Three-Phase Cage Induction Motor", IET Electric Power Applications, vol. 12, no. 2, pp. 264-270, 2018.
[4] J. Driesen and T. V. Craenenbroeck, "Voltage Disturbances Introduction to Unbalance", Elec. Eng. Res. Katholieke Leuven Univ. Leuven, Belgium. 2002.
[5] J. Ghaeb and J. Chebil, "Prediction of Voltage Unbalance Employing Space Vector Property", International Journal of Engineering Research and Development, vol. 12, no. 12, pp. 65-70, 2016.
[6] S. Singh, A. Singh and P. Thakur, "Accurate Performance Assessment of IM with Approximate Current Unbalance Factor for NEMA Definition", 16th International Conference on Harmonics and Quality of Power (ICHQP), pp.674-678, 2014.
[7] M. Henriques and J. Cormane, " Time Domain Voltage Unbalance Index Based on Second Order Voltage Tensor Theory", 6th IEEE International Conference on Smart Energy Grid Engineering, pp.273-278, 2018.
[8] IEEE Standard Dictionary of Electrical and Electronics Terms, IEEE Std. 100-1996.
[9] IEEE Standard Test Procedure for Polyphase Induction Motors and Generators, IEEE Standard 112, 1991.
[10] Motors and Generators, NEMA Standards Publication no. MG1-1993.
[11] M. Bollen "Definitions of voltage unbalance" IEEE Power Eng Rev., vol. 22, no. 11, pp. 49–50, Nov,2002.
[12] IEC Standard 61000-4-27: Testing and Measurement Techniques - Unbalance, Immunity Test, Aug. 2000.
[13] Y. J. Wang, “Analysis of effects of three-phase voltage unbalance on induction motor with emphasis on the angle of the complex voltage unbalance factor,” IEEE Trans. Energy Convers., vol. 16, no. 3, pp.270–275, Sep. 2001.
[14] A. Rajapakse and A. Puangpairoj, "Harmonic Reducing ANN Controller for a SVC Compensating Unbalanced Fluctuating Loads", International Journal of Emerging Electric Power Systems, vol. 7, no. 1, 2006.
[15] S. Marx, and D. Bender, "An Introduction to Symmetrical Components, System Modeling and Fault Calculation", 34th Annual HANDS-ON Relay School. Washington State Univ. Washington, USA. 2016.
[16] J. Grainger J. Stevenson W D. Power System Analysis. McGraw-Hill-Inc., Hightstown, 1994.
[17] A. von Jouanne and B. Banerjee, "Voltage Unbalance: Power Quality Issues, Related Standards and Mitigation Techniques", EPRI, California, USA, 2000.
[18] V. Peter, Vector control of AC machines, New York: Oxford University Press., 1990.