Control of catastrophic bifurcations of SSR in a hybrid series compensated system
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Series compensation of the transmission line increases the power flow capability of the system. Hybrid series compensation is a combination of active and passive series compensation provided by static synchronous series compensator with energy storage (SSSC-ES) and capacitor, respectively. This paper investigates the presence of bifurcations of subsynchronous resonance (SSR) in such a system. The results show that, as the series compensation level is varied, the system without SSSC-ES experiences periodic and quasiperiodic oscillations eventually leading to the catastrophic bifurcation. With the inclusion of SSSC-ES into the system, the number of periodic bifurcations of SSR reduces. This paper proposes a novel composite subsynchronous modal voltage injection (CSMVI) technique using SSSC-ES which controls catastrophic bifurcations of SSR. The CSMVI employs modal speed deviations that are derived from multi-mass section speed deviations and is used to modulate the reactive voltage injection of SSSC-ES. The study system for the analysis of SSR is IEEE First Benchmark model. Validation of the results obtained from bifurcation theory is carried out by performing the transient simulation using MATLAB/SIMULINK.
KeywordsBifurcation Composite Subsynchronous Modal Voltage Injection (CSMVI) Modal speed deviations Subsynchronous Resonance (SSR) Static Synchronous Series Compensator with energy storage (SSSC-ES)
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The authors declare that there are no conflict of interest.
- 2.Chiang, H.D.: Application of bifurcation analysis to power systems. In: Chen G., Hill D.J., Yu X. (eds) Bifurcation Control. Lecture Notes in Control and Information Science, vol. 293. Springer, Berlin (2003)Google Scholar
- 8.Arsoy, A., Liu, Y., Chen, S., Yang, Z., Crow, M.L., Ribeiro, P.F.: Dynamic performance of a static synchronous compensator with energy storage. In: Proceedings of the IEEE Power Engineering Society Winter Meeting, pp. 605–610 (2001)Google Scholar
- 9.Anderson, P.M., Agrawal, B.L., Van Ness, J.E.: Subsynchronous Resonance in Power Systems. IEEE Press, New York (1989)Google Scholar
- 12.Iravani, M.R., Semlyen, A.: Hopf bifurcations in torsional dynamics. IEEE Trans. Power Syst. 7, 2836 (1992)Google Scholar
- 19.Ali, H.: Nayfeh and Balakumar Balachandran: Applied Nonlinear Dynamics. WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim (2004)Google Scholar