Fractional Order Controller for Controlling Power System Dynamic Behavior

Several power system networks exhibit bifurcation, chaos and instability behavior for some specific values of initial conditions and parameters. Angle and voltage instability behavior of power system is prone to such specific values and parameter variation. This paper proposes fractional order proportional integral controller (FOPI) based state feedback for precise and robust control of such undesirable behavior. This paper proposes first ever use of FOPI for precise rotor angle control leading to instability in power system dynamic behavior. FOPI controller is applied on generator connected to IEEE‐14 bus benchmark model. The ripple frequency of turbine torque is chosen as one of the cause of instability behavior of power system, which has the potential possibility to push system behavior to chaos and instability mode. The proposed FOPI controller design will inhibit the dynamic behavior of power system to safe and stable bounds. Proposed strategy can be applied to other large power system models as well due to its simplicity in design philosophy. Several phase plane trajectories with and without FOPI controller are used to support the viewpoint.

[1]  Felix F. Wu,et al.  Chaos in a simple power system , 1993 .

[2]  Eyad H. Abed,et al.  Bifurcations, chaos, and crises in voltage collapse of a model power system , 1994 .

[3]  Tomasz Kapitaniak,et al.  Controlling Chaos: Theoretical and Practical Methods in Non-linear Dynamics , 1996 .

[4]  I. Podlubny,et al.  On fractional derivatives, fractional-order dynamic systems and PI/sup /spl lambda//D/sup /spl mu//-controllers , 1997, Proceedings of the 36th IEEE Conference on Decision and Control.

[5]  I. Podlubny,et al.  On Fractional Derivatives, Fractional-Order Dynamic Systems and PIW-controllers , 1997 .

[6]  I. Podlubny.  Fractional-order systems and PIλDμ-controllers , 1999, IEEE Trans. Autom. Control..

[7]  Igor Podlubny,et al.  Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers , 1999 .

[8]  Jia Hongjie,et al.  Chaotic phenomena and small signal stability region of electrical power systems , 2001 .

[9]  Y. Chen,et al.  A comparative introduction of four fractional order controllers , 2002, Proceedings of the 4th World Congress on Intelligent Control and Automation (Cat. No.02EX527).

[10]  Hongjie Jia,et al.  Power system instability and chaos , 2003 .

[11]  Luis Rouco,et al.  Modeling of thermal generating units for automatic generation control purposes , 2004, IEEE Transactions on Control Systems Technology.

[12]  P. Kundur,et al.  Definition and classification of power system stability IEEE/CIGRE joint task force on stability terms and definitions , 2004, IEEE Transactions on Power Systems.

[13]  J. Svensson,et al.  Dynamic Performance Comparison of Synchronous Condenser and SVC , 2008, IEEE Transactions on Power Delivery.

[14]  Nasser Sadati,et al.  Design of a fractional order PID controller for an AVR using particle swarm optimization , 2009 .

[15]  YangQuan Chen,et al.  Fractional-order Systems and Controls , 2010 .

[16]  C. Yeroglu,et al.  Note on fractional-order proportional–integral–differential controller design , 2011 .

[17]  J. S. Bhonsle.  A Novel Approach for the Optimal PMU Placement using Binary Integer Programming Technique , 2012 .

[18]  L. Ehwerhemuepha,et al.  Simulation and Visualization of Chaos in a Driven Nonlinear Pendulum -- An Aid to Introducing Chaotic Systems in Physics , 2013, 1306.0949.

[19]  Xiaona Song,et al.  Dynamic Output Feedback Control for Fractional‐Order Systems , 2013 .

[20]  H. Gholizadeh,et al.  Chaos detection and control in a typical power system , 2013 .

[21]  Rajat Saini,et al.  OPTIMAL PLACEMENT OF PHASOR MEASUREMENT UNITS FOR POWER SYSTEM OBSERVABILITY , 2013 .

[22]  Lamberto Rondoni,et al.  Applications of Chaos and Nonlinear Dynamics in Science and Engineering - Vol. 2 , 2014 .

[23]  W. Zheng,et al.  Bifurcation Control Of A Fractional‐Order Van Der Pol Oscillator Based On The State Feedback , 2015 .

[24]  S. P. Nangrani,et al.  Chaotic behavior of single machine infinite bus power system subjected to turbine torque ripple , 2015, 2015 Modern Electric Power Systems (MEPS).

[25]  W. Kliemann,et al.  Application of linear stability via Lyapunov exponents in high dimensional electrical power systems , 2015 .

[26]  Xin,et al.  Fractional Order [Proportional Integral] Controllers Parameters Algorithm Based on the Vector Method , 2015 .

[27]  Sundarapandian Vaidyanathan,et al.  Chaos Modeling and Control Systems Design , 2014, Chaos Modeling and Control Systems Design.

[28]  S. P. Nangrani,et al.  Power system security assessment using ranking based on combined MW-chaotic performance index , 2015, TENCON 2015 - 2015 IEEE Region 10 Conference.

[29]  I. Kovacic.  Nonlinear Oscillations , 2020 .