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Recent Advances in Electrical & Electronic Engineering


ISSN (Print): 2352-0965
ISSN (Online): 2352-0973

Research Article

Determining the Norton’s Equivalent Model of Distribution System with Distributed Generation (DG) for Stability Analysis

Author(s): Sunny Katyara*, Lukasz Staszewski and Faheem Akhtar Chachar

Volume 12, Issue 2, 2019

Page: [190 - 198] Pages: 9

DOI: 10.2174/2352096511666180723144119

Price: $65


Background: Since the distribution networks are passive until Distributed Generation (DG) is not being installed into them, the stability issues occur in the distribution system after the integration of DG.

Methods: In order to assure the simplicity during the calculations, many approximations have been proposed for finding the system’s parameters i.e. Voltage, active and reactive powers and load angle, more efficiently and accurately. This research presents an algorithm for finding the Norton’s equivalent model of distribution system with DG, considering from receiving end. Norton’s model of distribution system can be determined either from its complete configuration or through an algorithm using system’s voltage and current profiles. The algorithm involves the determination of derivative of apparent power against the current (dS/dIL) of the system.

Results: This work also verifies the accuracy of proposed algorithm according to the relative variations in the phase angle of system’s impedance. This research also considers the varying states of distribution system due to switching in and out of DG and therefore Norton’s model needs to be updated accordingly.

Conclusion: The efficacy of the proposed algorithm is verified through MATLAB simulation results under two scenarios, (i) normal condition and (ii) faulty condition. During normal condition, the stability factor near to 1 and change in dS/dIL was near to 0 while during fault condition, the stability factor was higher than 1 and the value of dS/dIL was away from 0.

Keywords: Load Flow, Norton’s model, stability margin, Distributed Generation (DG), dS/dIL algorithm, power system.

Graphical Abstract
A. Ramdhin, and S. Chowdhury, A study of technical and regulatory issues for integration of distributed generation to medium voltage networksAFRICON 2017 IEEE. pp. 1101-1106, 2017
P. Mangang, S.S. Ahmed, and A. Petroianu, "Control of the static voltage stability margin using optimal power flow", IFAC Proceed. Vol., vol. 28, pp. 329-334, 1995.
N. Palukuru, "S.H. nee Dey, T. Datta and S. Paul, "Voltage stability assessment of a power system incorporating FACTS controllers using unique network equivalent", Ain Shams Eng. J., vol. 5, pp. 103-111, 2014.
L.A.F.M. Ferreira, and C.M.S.C. De Jesus, "“Power flow by adjoint networks” IEEE PES transmission and distribution conference and exposition, Vol. 1, pp. 196 – 200, 2003",
P. Kundur, J. Paserba, V. Ajjarapu, G. Andersson, A. Bose, C. Canizares, N. Hatziargyriou, D. Hill, A. Stankovic, C. Taylor, T. Van Cutsem, and V. Vittal, "Definition and classification of power system stability ieee/cigre joint task force on stability terms and definitions", Power Syst. IEEE Transact., vol. 19, pp. 1387-1401, 2004.
M.S.C. de Jesus, and L.A.F.M. Ferreira, "Comparing power flow equations on a local basis for distribution networks In:", Inter. Conf. Power Eng. Energy Electric. Driv., Power Eng. Energy Electric. Driv. Setubal, Portugal, 2007, pp. 774-778
F. Hu, K. Sun, A.D. Rosso, E. Farantatos, and N. Bhatt, "Measurement-based real-time voltage stability monitoring for load areas", Power Syst. IEEE Transact., vol. 31, pp. 2787-2798, 2016.
K. Vu, M. Begovic, D. Novosel, and M. Saha, "Use of local measurements to estimate voltage-stability margin", Power Syst. IEEE Transact., vol. 14, pp. 1029-1035, 1999.
A. Tianyu, S. Zhou, J. Yu, and Yanjun. Zhang, Tracking of Thevenin equivalent parameters on weak voltage load bus groups In:Power Systems Conference and Exposition, PSCE'06. 2006 IEEE PES,. Atlanta, GA, USA, 2006, pp. 1570-1576
L.A.F.M. Ferreira, and C.M.S.C. De Jesus, "Local network power flow analysis: An accuracy level comparison for two sets of equations", Power Syst. IEEE Transact., vol. 21, pp. 1624-1629, 2006.
A. Wiszniewski, New criteria of voltage stability margin for the purpose of load shedding.IEEE Transact. Power Del, . Vol. 22, 2007
B. Brusilowicz, and J. Szafran, "Determination of Thevenin’s equivalent model at the receiving node", Present Probl. Power Syst. Cont., vol. 1, pp. 2-9, 2011.
S.S. Reddy, A.R. Abhyankar, and P.R. Bijwe, "Reactive power price clearing using multi-objective optimization", Energy, vol. 36, pp. 3579-3589, 2011.
P. Chen, V. Malbasa, and M. Kezunovic, "Analysis of voltage stability issues with distributed generation penetration in distribution networks", 2013 North American Power Symposium (NAPS) Manhattan, KS, USA 2013, pp. 1-6
S.S. Reddy, and C.S. Rathnam, "Optimal power flow using glowworm swarm optimization", Int. J. Electr. Power Energy Syst., vol. 80, pp. 128-139, 2016.
S.M. Burchett, M. Liehr, S.G. Ghiocel, J.H. Chow, A. Faris, and D. Kosterev, Voltage stability analysis of a wind hub using Thévenin equivalent models estimated from measured data 2017 IEEE Manchester PowerTech. Manchester, UK, 2017
B.J. Szafran, A new method of the stability marging determination of a receiving node”, Present problems of power system control”, Vol. 3, no. 2, pp. 75-82, 2013
R.D. Zimmerman, C.E. Murillo-Sánchez, and R.J. Thomas, "“MATPOWER: Steady-state operations, planning and analysis tools for power systems research and education”, Power Syst", IEEE Transact., vol. 26, pp. 12-19, 2011.
A. Wiszniewski, W. Rebizant, and A. Klimek, "A method of accurate determination of voltage stability margin In:", Proceedings of the CIGRE Canada Conference on Power Systems Winnipeg, Canada 2008, pp. C4-109.

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