Nonlinear Dynamics

, Volume 95, Issue 2, pp 971–981 | Cite as

Control of catastrophic bifurcations of SSR in a hybrid series compensated system

  • R. C. MalaEmail author
  • Nagesh Prabhu
  • H. V. Gururaja Rao
Original Paper


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.


Bifurcation Composite Subsynchronous Modal Voltage Injection (CSMVI) Modal speed deviations Subsynchronous Resonance (SSR) Static Synchronous Series Compensator with energy storage (SSSC-ES) 


Compliance with ethical standards

Conflict of interest

The authors declare that there are no conflict of interest.


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Copyright information

© Springer Nature B.V. 2018

Authors and Affiliations

  1. 1.Manipal Institute of TechnologyMAHEManipalIndia
  2. 2.NMAM Institute of Technology, NitteKarkalaIndia

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