Controlling chaos and bifurcations of SMIB power system experiencing SSR phenomenon using SSSC

Abstract This paper presents the effect of Static Synchronous Series Compensation (SSSC) on the bifurcations of heavily loaded Single Machine Infinite Bus (SMIB) power system experiencing Subsynchronous Resonance (SSR). In SSR phenomenon, the series compensation increases the power transfer capability of the transmission line. However, Hopf bifurcation is depicted at certain compensation levels. The system then routes to chaos via torus breakdown scenario in case of conventional compensation (variable series capacitor) scheme. In this study, the effect of replacing the conventional compensation with SSSC is highlighted. Varying the SSSC controller reference voltage changes the compensation degree. The results show that the operating point of the system never loses stability at any realistic compensation degree in case of SSSC which means that all bifurcations of the system have been eliminated. Time domain simulations coincide with the results of the bifurcation analysis. The robustness of the SSSC compensation scheme and its controller is verified by subjecting a single-phase to ground fault at the end of the transmission line. The results are compared with the case of conventional compensation. Additionally, the effect of the SSSC controller gain on the location of the Hopf bifurcation is addressed.

[1]  Adel M. Sharaf,et al.  Optimal control schemes for SSSC for dynamic series compensation , 2008 .

[2]  Laszlo Gyugyi,et al.  Understanding FACTS: Concepts and Technology of Flexible AC Transmission Systems , 1999 .

[3]  A.-A. Edris,et al.  Eigen analysis of series compensation schemes reducing the potential of subsynchronous resonance , 1995 .

[4]  Fernando Cattan Jusan,et al.  SSR results obtained with a dynamic phasor model of SVC using modal analysis , 2010 .

[5]  Maciej Orman,et al.  Effective method of subsynchronous resonance detection and its limitations , 2012 .

[6]  Hua O. Wang,et al.  Bifurcation control of a chaotic system , 1995, Autom..

[7]  F. Jowder.  Influence of mode of operation of the SSSC on the small disturbance and transient stability of a radial power system , 2005, IEEE Transactions on Power Systems.

[8]  Anna Pinnarelli,et al.  Using a FACTS device controlled by a decentralised control law to damp the transient frequency deviation in a deregulated electric power system , 2004 .

[9]  Ahmad Harb,et al.  Bifurcation and Chaos Theory as Applied to SSR of the IEEE Second Benchmark Model (System # 2) with the Presence of the Damper Windings , 2009, CSC.

[10]  Guanrong Chen,et al.  From Chaos To Order Methodologies, Perspectives and Applications , 1998 .

[11]  Mohammad S. Widyan.  Controlling Chaos and Bifurcations of SSR Using TCSC , 2010 .

[12]  Guanrong Chen,et al.  Feedback Control of Limit Cycle Amplitudes from A Frequency Domain Approach , 1998, Autom..

[13]  Ian Dobson,et al.  Towards a theory of voltage collapse in electric power systems , 1989 .

[14]  K. Uma Rao,et al.  Discrete control of series compensation for stability improvement in power systems , 1997 .

[15]  R. R. Mohler,et al.  An EMTP study of SSR mitigation using the thyristor controlled series capacitor , 1995 .

[16]  M. Widyan.  On the effect of AVR gain on bifurcations of subsynchronous resonance in power systems , 2010 .

[17]  Alberto Tesi,et al.  ON BIFURCATION CONTROL IN TIME DELAY FEEDBACK SYSTEMS , 1998 .

[18]  Boon-Teck Ooi,et al.  Series compensation of radial power system by a combination of SSSC and dielectric capacitors , 2005, IEEE Transactions on Power Delivery.

[19]  L.C.P. da Silva,et al.  Impacts of the SSSC control modes on small-signal and transient stability of a power system , 2007 .

[20]  Yao-nan Yu,et al.  Multi-Mode Stabilization of Torsional Oscillations Using Output Feedback Excitation Control , 1982, IEEE Transactions on Power Apparatus and Systems.

[21]  R. D. Rana,et al.  AEP's Kanawha River 345 kV series capacitor installation; Subsynchronous resonance studies and torsional measurements , 1991 .

[22]  Ahmad Harb,et al.  Chaos and bifurcation control of SSR in the IEEE second benchmark model , 2004 .

[23]  K. R. Padiyar,et al.  Bifurcation analysis of a three node power system with detailed models , 1999 .

[24]  S. Dechanupaprittha,et al.  Robust decentralised frequency stabilisers design of static synchronous series compensators by taking system uncertainties into consideration , 2006 .

[25]  H. F. Wang,et al.  Static synchronous series compensator to damp power system oscillations , 2000 .

[26]  Narayana Prasad Padhy,et al.  A PSO-based SSSC Controller for Improvement of Transient Stability Performance , 2007 .

[27]  M.S. Widyan,et al.  On the Effect of Turbine Governor Gain on Bifurcations of Subsynchronous Resonance in Power Systems , 2010 .

[28]  Laszlo Gyugyi,et al.  Static Synchronous Series Compensator: A Solid-State Approach to the Series Compensation of Transmission Lines , 1997 .

[29]  Ali Mohammad Ranjbar,et al.  Application of subsynchronous damping controller (SSDC) to STATCOM , 2012 .

[30]  M.S. Widyan,et al.  Modern nonlinear theory as applied to SSR of the IEEE second benchmark model , 2003, 2003 IEEE Bologna Power Tech Conference Proceedings,.

[31]  Rafael Mihalic,et al.  Static synchronous series compensator—a mean for dynamic power flow control in electric power systems , 1998 .

[32]  V. Ajjarapu,et al.  Bifurcation theory and its application to nonlinear dynamical phenomena in an electrical power system , 1991 .

[33]  Ali H. Nayfeh,et al.  BIFURCATIONS IN A POWER SYSTEM MODEL , 1996 .