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A novel approach of closeness centrality measure for voltage stability analysis in an electric power grid

Isaiah G. Adebayo EMAIL logo and Yanxia Sun

Abstract

Modern power systems are increasingly becoming more complex and thus become vulnerable to voltage collapse due to constant increase in load demand and introduction of new operation enhancement technologies. In this study, an approach which is based on network structural properties of a power system is proposed for the identification of critical nodes that are liable to voltage instability. The proposed Network Structurally Based Closeness Centrality (NSBCC) is formulated based on the admittance matrix between the interconnection of load to load nodes in a power system. The vertex (node) that has the highest value of NSBCC is taken as the critical node of the system. To demonstrate the significance of the concept formulated, the comparative analysis of the proposed NSBCC with the conventional techniques such as Electrical Closeness Centrality (ECC), Closeness Voltage Centrality (CVC) and Modal Analysis is performed. The effectiveness of all the approaches presented is tested on both IEEE 30 bus and the Southern Indian 10-bus power systems. Results of simulation obtained show that the proposed NSBCC could serve as valuable tool for rapid real time voltage stability assessment in a power system.


Corresponding author: Isaiah G. Adebayo, Department of Electrical and Electronic Engineering Science, University of Johannesburg, Johannesburg, South Africa; and Department of Electronic and Electrical Engineering, LAUTECH, P.M.B 4000, Ogbomoso, Oyo State, Nigeria, E-mail:

Award Identifier / Grant number: 112108

Award Identifier / Grant number: 112142

Award Identifier / Grant number: 95687

Funding source: Eskom Tertiary Education Support Programme

  1. Author contribution: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.

  2. Research funding: This research is supported partially by South African National Research Foundation Grants (No. 112108 and 112142), and South African National Research Foundation Incentive Grant (No. 95687), Eskom Tertiary Education Support Programme, Research grant from URC of University of Johannesburg.

  3. Conflict of interest statement: The authors declare no conflicts of interest regarding this article.

Appendix

Table 5:

Line data: 10 bus Southern Indian test system.

FromToR (pu)X (pu)BC/2(pu)Line limit (MVA)
150.002720.028721.51829500
140.005690.060080.79414500
120.004770.051030.72673500
2100.006760.094290.75003500
1060.005460.067940.88836500
790.002890.036030.46222500
390.001450.018020.93968500
740.005890.059950.7841500
750.00430.04770.637500
580.003880.048340.6547500
380.002970.037060.47543500
670.00040.0040.15500
Table 6:

Line data for the IEEE 30 bus test system.

S/NFrom busTo busR(p.u)X(p.u)1/2BTap ratio
1120.01920.05750.02641
2130.04520.16520.02041
3240.05700.17370.01841
4340.01320.03790.00421
5250.04720.19830.02091
6260.05810.17630.01871
7460.01190.04140.00451
8570.04600.11600.01021
9670.02670.08200.00851
10680.01200.04200.00451
11690.00.20800.00.978
126100.00.55600.00.969
139110.00.20800.01
149100.00.11000.01
154120.00.25600.00.932
1612130.00.14000.01
1712140.12310.25590.01
1812150.06620.13040.01
1912160.09450.19870.01
2014150.22100.19970.01
2116170.08240.19230.01
2215180.10730.21850.01
2318190.06390.12920.01
2419200.03400.06800.01
2510200.09360.20900.01
2610170.03240.08450.01
2710210.03480.07490.01
2810220.07270.14990.01
2921230.01160.02360.01
3015230.10000.20200.01
3122240.11500.17900.01
3223240.13200.27000.01
3324250.18850.32920.01
3425260.25440.38000.01
3525270.10930.20870.01
3628270.00.39600.00.968
3727290.21980.41530.01
3827300.32020.60270.01
3929300.23990.45330.01
408280.06360.20000.02141
416280.01690.05990.0651

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Received: 2020-02-03
Accepted: 2020-05-25
Published Online: 2020-07-27

© 2020 Walter de Gruyter GmbH, Berlin/Boston

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