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Development of the methods of calculation of the electrical installations working operation in case of quality supply disturbance

1,a Ismael Kareem Saeed , 2,Kamal Sheikhyounis

a,b 1University of Salahaddin, College of Engineering , Electrical Engineering Department

Received 24 April 2020 , Accepted 27 Aug 2020,   Available online 30 December 2020


This paper proposes a method of calculating of asymmetrical modes of operation of electrical installations where simple and adequate loads equivalent circuits are available with working electrical equipment. So the mathematical model of equation system is derived as universal way for calculating the systems operating modes when it is subjected to a disturbance due to asymmetry. With the help of the obtained model we can calculate different cases of symmetry disturbances, all types of short circuits, between phase short circuits, any type of longitudinal asymmetry, open circuits when there is a resistance for the fault current at the place of damage

In the given method, specific types of asymmetry are considered as particular cases and easily calculated from the generalized formula, which is essentially reduces the calculation and allows us to consider cases of asymmetry of any complexity. Therefore this method is offered as a basic for calculation of asymmetry when the system is subjected to a disturbance.


Alexandra Chupakhina, Miroslav Martinovich, Gennady Zinoviev and Vladimir Skolota, 2017. “Modern Mathematical Methods and Computerized Tools of Artificial Intelligence for Solving Problems of Identifying the Energy Quality of Electrical Systems”, IEEE, SIBIRCON.
Ameen Gargoom, Amanullah M.T. Oo, and Martin Cavanagh, 2019. “A Method for Calculating the Asymmetry in the Shunt Parameters of Power Lines in Compensated Distribution Networks”, IEEE, Transactions on Power Delivery.
Boris Dumnic, Bane Popadic, Dragan Milicevic, Nikola Vukajlovic and Marko Delimar, 2019. “Control Strategy for a Grid Connected Converter in Active Unbalanced Distribution Systems”, Energies, 12, 1362.
Chemin A.B., and S.B. Losev, 1983. “Calculation of electrical magnitudes and, asymmetrical conditions of electric networks", Moskva: Energoatomizdat.
Chiang H.D., and J. C. Wang, 1995. “Optimal Capacitor Placement Replacement and Control in Scale Unbalanced Systems”, IEEE Transactions on Power Apparatus and systems, Vol. 10, No. 1, pp. 363-369. doi:10.1109/59.373956
Das J.C., (2017). “Understanding Symmetrical Components for Power System modeling” First Edition, IEEE, Published by John Wiley & Sons, Inc.
Diego Bellan and Sergio A. Pignari, 2015. “Circuit Representation of Voltage Unbalance Emission Due to Line Asymmetry”, IEEE Innovative Smart Grid Technologies, Asia.
Fortescue C.L., Jun 28 1918. “Method of symmetrical co-ordinates applied to the solution of polyphase networks”, 34th Annual conversion of the American Institute of Electrical Engineers, 37:1027-1140.
Gerardus C. Paap, May 2000. “Symmetrical components in the time domain and their application to power network calculations”, IEEE Trans. Power System, 15(2); 522-528,.
Göran Andersson, (Sep. 2012). “Power System Analysis”, Lecture 227-0526-00, EEH - Power Systems Laboratory. ITET ETH Zurich. Swiss Federal Institute of Technology Zurich
Haoming Liu, Shun’an Cheng, Chunyan Huang, Yunhe Hou, 2012. “Unbalanced Power Flow Calculation for Lowvoltage Distribution Systems including DGs”, IEEE, PES ISGT, 1569536163, Asia.
Jan A., Boguslaw T., Sep. 15-17, 2009. "Analysis of Electric Power Quality A Case Study: Kamiensk Wind Power Plant" 10thInternational conference, Electrical Power Quality, Lodz, Poland.
Jian G, Xiaobo Y,Jiawen S, Pengfei Y, Roaidar K, 2019. “Modeling and Simulation of a Positive and Negative Sequence Component Separation for Grid Voltage Based on the Improved Method of Instantaneous Symmetrical Components”, The 31th Chinese Control and Decision Conference (CCDC).
Kersting W.H., and Greg Shirek, 2012. “Short Circuit Analysis of IEEE Test Feeders”, PES T&D, IEEE Conference, Orlando, FL, USA. DOI: 10.1109/TDC.2012.6281539
Konstantin V. Khatsevskiy, Alexander I. Antonov, Tatjana V. Gonenko and Vladimir F. Khatsevskiy, Nov. 14-16, 2017. “The Voltage Asymmetry in Electrical Networks with Single-Phase Load”, IEEE Dynamics of Systems, Mechanisms and Maсhines (Dynamics), Omsk, Russia.
Krumm L.A., V.A. Mantrov, 1993. “Methods of adaptive equivalenting in problem of analysis of steady-state conditions of power systems” Harwood Academic Publishers Gmbh Printed in the USA.
Paranavithana P., S. Perera, R. Koch and Z. Emin, Oct.2009. “Global Voltage Unbalance in MV Networks Due to Line Asymmetries,” in IEEE Transactions on Power Delivery, vol. 24, no. 4, pp. 2353-2360.
Sufyanu A., 2018. “Power Quality and Harmonic Analysis in Three Phase Systems”, Journal of Electrical & Electronic Systems Vol. 7, Issue 4.
Voitov O.N., Mantrov V.A., Semenova L.V., 1998. “Improvement of the analysis and control efficiency of power system asymmetrical conditions by equivalent transformation”, IEEE Q-7803-4754-4198.
Voitov O.N., V. Mantrov, L.Semenova, Sep. 1997. “Analysis and control of open-phase conditions of electric power systems to improve power quality”, Proceedings of EPQU-97, 4th International Conference, Cracow, Poland