Research Article |
Extending the Hopf Bifurcation Limit Using Power System Stabilizer in a Two Area Power System Having Huge Industrial Loads
Author(s): Ghousul Azam Shaik1*, and Lakshmi Devi Aithepalli2
Published In : International Journal of Electrical and Electronics Research (IJEER) Volume 13, Issue 2
Publisher : FOREX Publication
Published : 25 April 2025
e-ISSN : 2347-470X
Page(s) : 193-198
Abstract
The phenomenon of Hopf bifurcation is observed in several engineering and non-engineering domains which use both linear and nonlinear dynamic models. One parameter and two parameter variations of set of Differential Algebraic Equations of Kundur two area system was explored in this manuscript assisted with eight different cases to have detailed insight into Hopf bifurcation by modelling the load buses with industrial loads. The effect of PSS on improving the damping ratio and increase in the maximum loading at the industrial load buses was showcased by taking Hopf bifurcation as a tool for assessing the same by increasing the generation.
Keywords: Damping ratios
, Hopf bifurcation point
, Inter-area mode
, Power System Stabilizer
.
Ghousul Azam Shaik*, Department of Electrical and Electronics Engineering, SVU College of Engineering, Sri Venkateswara University, Tirupati – 517 502, India; Email: ghousul1993@gmail.com
Lakshmi Devi Aithepalli, Department of Electrical and Electronics Engineering, SVU College of Engineering, Sri Venkateswara University, Tirupati – 517 502, India; Email: energylak123@yahoo.com
-
[1] Devarapalli, R.; Sinha, N.K.; García Márquez F.P. A review on the computational methods of power system stabilizer for damping power network oscillations. Arch. Comput. Methods Eng, 2022, vol. 29, no. 6, pp. 3713-3739.
-
[2] Karimi, M.; Shahriari, A.; Aghamohammadi, M.R.; Marzooghi, H.; Terzija, V. Application of Newton-based load flow methods for determining steady-state condition of well and ill-conditioned power systems: A review. Int. J. Electr. Power Energy Syst., 2019, vol. 113, pp. 298-309.
-
[3] Dey, P.; Saha, A.; Bhattacharya, A.; Marungsri, B. Analysis of the effects of PSS and renewable integration to an Inter‑Area Power Network to Improve Small Signal Stability. J. Electr. Eng. Technol., 2020, vol. 15, pp. 2057-2077.
-
[4] Shaik, G.A.; Aithepalli, L.D. Identification of Hopf bifurcation point using small signal stability analysis in a power system with increased load and generation. Proceedings of the Third International Conference on Advances in Electrical, Computing, Communication and Sustainable Technologies (ICAECT), Bhilai, India, 2023, pp. 1-4.
-
[5] Mala, R.C.; Prabhu, N.; Rao H.G. Hopf bifurcations of sub synchronous resonance in a hybrid series compensated system with SSSC-ES. Proceedings of the 2015 International Conference on Technological Advancements in Power and Energy (TAP Energy), pp. 65-72, 2015.
-
[6] Chen, Q.; Bu, S.; Chung, C.Y. Small-signal stability criteria in power electronics-dominated power systems: A comparative review. J. Mod. Power Syst. Clean Energy, 2023, vol. 12, pp. 1003-1018.
-
[7] Bento, M.E.; Ramos, R.A. An approach for monitoring and updating the load margin of power systems in dynamic security assessment. Electr. Power Syst. Res., 2021, vol. 198, pp.107365.
-
[8] Huang, L.; Y. Lu, Y.; Discrete modeling and period-adding bifurcation of DC–DC converter feeding constant power load. IEEE Access, 2021, vol. 9, pp. 52773-52783.
-
[9] Wei, J.; Li, G.; Zhou, M. Numerical bifurcation and its application in computation of available transfer capability. Appl. Math. Comput., 2015, vol. 252, pp. 568-574.
-
[10] Zhi, Y.; Wajid, H.; Venkatasubramanian, V.M.; Ji, W.; Panciatici, P.; Xavier, F.; Gilles, T. 2022. Computational methods for nonlinear analysis of Hopf bifurcations in power system models. Electr. Power Syst. Res., 2022, vol. 212, pp.108574.
-
[11] Shaik, G.A.; Aithepalli, L.D. Investigation of particle swarm optimization-based power system stabilizer on damping performance in two area system with voltage dependent load models. SSRG Int. J. Electr. Eng., 2025, vol. 12, no. 1, pp. 63-75.
-
[12] Kumar, A.; Jha, B.K.; Singh, D.; Misra, R.K. A new current injection-based power flow formulation. Electr. Power Components Syst, 2020, vol. 48, no. 3, pp. 268-280.
-
[13] Padiyar, K. R. Power System Dynamics Stability and Control, 2nd ed., BS Publications, Hyderabad, India 2008.
-
[14] Pai, M.A.; Sen Gupta D.P., Padiyar, K.R. Small Signal Analysis of Power Systems, Narosa Publishing House, New Delhi, 2004.
-
[15] Xi-Fan Wang; Yonghua Song.; Malcolm Irving. Modern Power Systems Analysis, Springer, New York, 2008.