Static Voltage Stability Assessment of Ethiopian power System Using Normalized Active Power Margin Index
DOI:
https://doi.org/10.4108/ew.v9i40.141Keywords:
Ethiopian power system, Voltage stability index, Thevenin equivalent, Maximum active power transferAbstract
Voltage stability assessments, made so far on the Ethiopian electric power system (EEP), are limited both in number and in methodology. Here, in this paper the static voltage stability of the Ethiopian power system is investigated using an index called normalized active power margin. The methodology starts from determining Thevenin equivalent of a system as viewed from the load buses. The Thevenin equivalent parameters help to determine the load bus maximum active power transfer limit and to draw the PV relation curves. The approach avoids the time-consuming method of PV curve based maximum active power transfer determination, which requires large number of power flow computations. The resulting maximum active power transfer and current operating active power load are used for the index calculation. The index is tested using IEEE 30 bus system and produced results matching with other previously established indices. The index is capable of ranking vulnerability of load buses to voltage instability. Then, scenarios of heavy load and light load EEP cases, with and without system reactive power compensation, are investigated. Results reveal weakest buses are supplied from 66kV transmission lines, load bus 232 being the weakest of all. On the other hand, the most stable buses are supplied from 132 kV transmission lines, bus 149 being the most stable bus. PV curves drawn, also, reveal the improvement that come with reactive power compensation and with operating in light load condition.
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References
P. Kundur et al., "Definition and classification of power system stability IEEE/CIGRE joint task force on stability terms and definitions," IEEE Trans. Power Syst., vol. 19, no. 3, pp. 1387-1401, 2004, doi: 10.1109/TPWRS.2004.825981. DOI: https://doi.org/10.1109/TPWRS.2004.825981
N. Hatziargyriou et al., "Definition and Classification of Power System Stability – Revisited & Extended," IEEE Trans. Power Syst., vol. 36, no. 4, pp. 3271-3281, 2021, doi: 10.1109/TPWRS.2020.3041774. DOI: https://doi.org/10.1109/TPWRS.2020.3041774
J. W. Simpson-Porco, F. Dörfler, and F. Bullo, "Voltage collapse in complex power grids," Nat. Commun., vol. 7, no. 1, p. 10790, 2016/02/18 2016, doi: 10.1038/ncomms10790. DOI: https://doi.org/10.1038/ncomms10790
M. Glavic et al., "See It Fast to Keep Calm: Real-Time Voltage Control Under Stressed Conditions," IEEE Power Energy Mag., vol. 10, no. 4, pp. 43-55, 2012, doi: 10.1109/MPE.2012.2196332. DOI: https://doi.org/10.1109/MPE.2012.2196332
T. Van Cutsem and C. Vournas, Voltage stability of electric power systems. Springer Science & Business Media, 2007.
Y. Ma, S. Lv, X. Zhou, and Z. Gao, "Review analysis of voltage stability in power system," in 2017 IEEE International Conference on Mechatronics and Automation (ICMA), 6-9 Aug. 2017 2017, pp. 7-12, doi: 10.1109/ICMA.2017.8015779. DOI: https://doi.org/10.1109/ICMA.2017.8015779
M. S. S. Danish, T. Senjyu, S. M. S. Danish, N. R. Sabory, N. K, and P. Mandal, "A Recap of Voltage Stability Indices in the Past Three Decades," Energies, vol. 12, no. 8, p. 1544, 2019. [Online]. Available: https://www.mdpi.com/1996-1073/12/8/1544. DOI: https://doi.org/10.3390/en12081544
S. L. Y. Ma, X. Zhou and Z. Gao, , "Review analysis of voltage stability in power system," in International Conference on Mechatronics and Automation, 2017.
M. Begovic, B. Milosevic, and D. Novosel, "A novel method for voltage instability protection," in Proceedings of the 35th Annual Hawaii International Conference on System Sciences, 10-10 Jan. 2002 2002, pp. 802-811, doi: 10.1109/HICSS.2002.993968. DOI: https://doi.org/10.1109/HICSS.2002.993968
B. Gao, G. K. Morison, and P. Kundur, "Voltage stability evaluation using modal analysis," IEEE Trans. Power Syst., vol. 7, no. 4, pp. 1529-1542, 1992, doi: 10.1109/59.207377. DOI: https://doi.org/10.1109/59.207377
H. J. Chen, T.; Yuan, H.; Jia, H.; Bai, L.; Li, F. , "Wide-area measurement-based voltage stability sensitivity and its application in voltage control," Int. J. Electr. Power Energy Syst., vol. 88, pp. 87-98, 2017. DOI: https://doi.org/10.1016/j.ijepes.2016.12.011
T. P. C. Hai, H.; Chung, I.Y.; Kang, H.K.; Cho, J.; Kim, J, "A novel voltage control scheme for low-voltage DC distribution systems using multi-agent systems," Energies, vol. 10, pp. 14-19, 2017. DOI: https://doi.org/10.3390/en10010041
H.Glavitsch, "Estimating the Voltage Stability of a Power System," IEEE Trans. Power Deliv., vol. PWRD-1, N3, July 1986, doi: 10.1109/TPWRD.1986.4308013. DOI: https://doi.org/10.1109/TPWRD.1986.4308013
I. Musirin and T. K. A. Rahman, "Novel fast voltage stability index (FVSI) for voltage stability analysis in power transmission system," in Student Conference on Research and Development, 17-17 July 2002 2002, pp. 265-268, doi: 10.1109/SCORED.2002.1033108. DOI: https://doi.org/10.1109/SCORED.2002.1033108
U. K. Sultana, A.B.; Aman, M.M.; Mokhtar, A.S.; Zareen, N. , "A review of optimum DG placement based on minimization of power losses and voltage stability enhancement of distribution system," Renewable and Sustainable Energy Reviews vol. 63, pp. 363–378, September, 2016. DOI: https://doi.org/10.1016/j.rser.2016.05.056
H. S. Salama and I. Vokony, "Voltage stability indices–A comparison and a review," Comput. Electr. Eng., vol. 98, p. 107743, 2022/03/01/ 2022, doi: https://doi.org/10.1016/j.compeleceng.2022.107743. DOI: https://doi.org/10.1016/j.compeleceng.2022.107743
E. G. C. P. R.B. Prada, J.O.R. dos Santos , A. Bianco, L.A.S. Pilotto "Voltage stability assessment for real-time operation," IEE Proceedings - Generation, Transmission and Distribution, vol. Volume 149, no. Issue 2, pp. 175 –181, March 2002, doi: 10.1049/ip-gtd:20020282. DOI: https://doi.org/10.1049/ip-gtd:20020282
M. Kamel, F. Li, S. Bu, and Q. Wu, "A generalized voltage stability indicator based on the tangential angles of PV and load curves considering voltage dependent load models," Int. J. Electr. Power Energy Syst., vol. 127, p. 106624, 2021/05/01/ 2021, doi: https://doi.org/10.1016/j.ijepes.2020.106624. DOI: https://doi.org/10.1016/j.ijepes.2020.106624
S. G. Ghiocel and J. H. Chow, "A Power Flow Method Using a New Bus Type for Computing Steady-State Voltage Stability Margins," IEEE Trans. Power Syst., vol. 29, no. 2, pp. 958-965, 2014, doi: 10.1109/TPWRS.2013.2288157. DOI: https://doi.org/10.1109/TPWRS.2013.2288157
V. Ajjarapu and C. Christy, "The continuation power flow: a tool for steady state voltage stability analysis," IEEE Trans. Power Syst., vol. 7, no. 1, pp. 416-423, 1992, doi: 10.1109/59.141737. DOI: https://doi.org/10.1109/59.141737
A. B. N. Elisabete de Mello Magalhães, Dilson Amancio Alves,, "A Parameterization Technique for the Continuation Power Flow Developed from the Analysis of Power Flow Curves," Math. Probl. Eng., vol. 2012, p. 24 pages, 2012, Art no. 762371, doi: https://doi.org/10.1155/2012/762371. DOI: https://doi.org/10.1155/2012/762371
K. Karthikeyan and P. K. Dhal, "Multi verse optimization (MVO) technique based voltage stability analysis through continuation power flow in IEEE 57 bus," Energy Procedia, vol. 117, pp. 583-591, 2017/06/01/ 2017, doi: https://doi.org/10.1016/j.egypro.2017.05.153. DOI: https://doi.org/10.1016/j.egypro.2017.05.153
R. Pourbagher, S. Y. Derakhshandeh, and M. E. Hamedani Golshan, "An adaptive multi-step Levenberg-Marquardt continuation power flow method for voltage stability assessment in the Ill-conditioned power systems," Int. J. Electr. Power Energy Syst., vol. 134, p. 107425, 2022/01/01/ 2022, doi: https://doi.org/10.1016/j.ijepes.2021.107425. DOI: https://doi.org/10.1016/j.ijepes.2021.107425
C. Liu, A. Bose, M. Han, and X. Chen, "Improved continuation power flow method for AC/DC power system," in 2011 IEEE Electrical Power and Energy Conference, 3-5 Oct. 2011 2011, pp. 192-198, doi: 10.1109/EPEC.2011.6070194. DOI: https://doi.org/10.1109/EPEC.2011.6070194
D. K. Molzahn, B. C. Lesieutre, and H. Chen, "Counterexample to a Continuation-Based Algorithm for Finding All Power Flow Solutions," IEEE Trans. Power Syst., vol. 28, no. 1, pp. 564-565, 2013, doi: 10.1109/TPWRS.2012.2202205. DOI: https://doi.org/10.1109/TPWRS.2012.2202205
A. Hilawie and F. Shewarega, "Developing New Thevenin Impedance Determination Technique and Voltage Stability Assessment Index for Online Application," in 2021 IEEE PES/IAS PowerAfrica, 23-27 Aug. 2021 2021, pp. 1-5, doi: 10.1109/PowerAfrica52236.2021.9543381. DOI: https://doi.org/10.1109/PowerAfrica52236.2021.9543381
Y. Wang et al., "Voltage Stability Monitoring Based on the Concept of Coupled Single-Port Circuit," IEEE Trans. Power Syst., vol. 26, no. 4, pp. 2154-2163, 2011, doi: 10.1109/TPWRS.2011.2154366. DOI: https://doi.org/10.1109/TPWRS.2011.2154366
U. P. Africa. "Ethiopia’s energy sector review: Fact Sheet." www.usaid.gov/ powerafrica/Ethiopia (accessed April, 5, 2022).
W. bank. "World bank data." https://data.worldbank.org/indicator/EG.ELC.LOSS.ZS?locations=ET (accessed April 10, 2022).
T. Van Cutsem, "Voltage instability: phenomena, countermeasures, and analysis methods," Proc. IEEE, vol. 88, no. 2, pp. 208-227, 2000. DOI: https://doi.org/10.1109/5.823999
M. A. G. Biru, "Analysis of the Power Blackout in the Ethiopian Electric Power Grid," Sci. j. circuits syst. signal process, vol. 8, no. 2, pp. 53-65, December 2019, doi: 10.11648/j.cssp.20190802.14. DOI: https://doi.org/10.11648/j.cssp.20190802.14
T. G. Tella, S. S. Sitati, and G. N. Nvakoe, "Voltage Stability Assessment on Ethiopian 230 KV Transmission Network Using Modified Voltage Stability Indices," in 2018 IEEE PES/IAS PowerAfrica, 28-29 June 2018 2018, pp. 1-5, doi: 10.1109/PowerAfrica.2018.8521144. DOI: https://doi.org/10.1109/PowerAfrica.2018.8521144
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," IEEE Trans. Power Syst., vol. 26, no. 1, pp. 12-19, 2011, doi: 10.1109/TPWRS.2010.2051168. DOI: https://doi.org/10.1109/TPWRS.2010.2051168
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