Power System Stability Enhancement Through the Optimal, Passivity-Based, Placement of Svcs

Over the last decades, several techniques have been proposed for the optimal placement of FACTS devices across power systems. Although these techniques were shown to improve power system operation, they are usually computationally intractable while having serious inherent limitations. In this paper, we present a novel approach to guide the SVC location identification in order to enhance power system stability. Specifically, the proposed method exploits findings in passivity-based control analysis and design in order to address the most vulnerable-in terms of passivity-buses of the system and consequently the optimal locations for SVC installation. We then show how the incorporation of SVCs at the aforementioned buses can passivate the system and provide guarantees for increased stability. Furthermore, we provide a brief discussion regarding the sizing and the number of required SVC devices in order to guarantee such stability improvement. Finally, we illustrate our results with simulations on the IEEE 68 bus system and show that both the dynamic response and the damping of the system are significantly improved.

[1]  R. Bhatia Positive Definite Matrices , 2007 .

[2]  Graham Rogers,et al.  Power System Oscillations , 1999 .

[3]  A.J. Conejo,et al.  Optimal Network Placement of SVC Devices , 2007, IEEE Transactions on Power Systems.

[4]  K.Y. Lee,et al.  Placement of SVCs and Selection of Stabilizing Signals in Power Systems , 2007, IEEE Transactions on Power Systems.

[5]  Charles R. Johnson,et al.  Matrix analysis , 1985, Statistical Inference for Engineers and Data Scientists.

[6]  Panos J. Antsaklis,et al.  Demonstrating Passivity and Dissipativity using Computational Methods , 2013 .

[7]  N Kottenstette,et al.  Relationships between positive real, passive dissipative, & positive systems , 2010, Proceedings of the 2010 American Control Conference.

[8]  S. Gerbex,et al.  Optimal Location of Multi-Type FACTS Devices in a Power System by Means of Genetic Algorithms , 2001, IEEE Power Engineering Review.

[9]  Innocent Kamwa,et al.  Optimal placement of multiple-type FACTS devices to maximize power system loadability using a generic graphical user interface , 2013, IEEE Transactions on Power Systems.

[10]  Jacquelien M. A. Scherpen,et al.  A port-Hamiltonian approach to power network modeling and analysis , 2013, Eur. J. Control.

[11]  Arjan van der Schaft,et al.  Port-Hamiltonian Systems on Graphs , 2011, SIAM J. Control. Optim..

[12]  C. W. Taylor,et al.  Static var compensator models for power flow and dynamic performance simulation , 1994 .

[13]  Babu Narayanan,et al.  POWER SYSTEM STABILITY AND CONTROL , 2015 .

[14]  Peerapol Jirapong,et al.  Optimal allocation of FACTS devices to enhance total transfer capability using evolutionary programming , 2005, 2005 IEEE International Symposium on Circuits and Systems.

[15]  Ioannis Lestas,et al.  A System Reference Frame Approach for Stability Analysis and Control of Power Grids , 2018, IEEE Transactions on Power Systems.

[16]  Kevin Barraclough,et al.  I and i , 2001, BMJ : British Medical Journal.

[17]  Peter L. Lee,et al.  Process Control: The Passive Systems Approach , 2010 .

[18]  P. Olver Nonlinear Systems , 2013 .

[19]  R. Stephenson A and V , 1962, The British journal of ophthalmology.

[20]  Ioannis Lestas,et al.  Primary Frequency Regulation With Load-Side Participation—Part I: Stability and Optimality , 2016, IEEE Transactions on Power Systems.

[21]  K. R. Padiyar,et al.  Power system dynamics : stability and control , 1996 .

[22]  Marina Antoniou,et al.  Primary Frequency Regulation With Load-Side Participation—Part II: Beyond Passivity Approaches , 2017, IEEE Transactions on Power Systems.

[23]  M. Boudour,et al.  Facts allocation for power systems voltage stability enhancement using MOPSO , 2008, 2008 5th International Multi-Conference on Systems, Signals and Devices.

[24]  Joe H. Chow,et al.  Power System Toolbox , 2017 .

[25]  S.Sakthivel,et al.  Optimal Location of SVC for Voltage Stability Enhancement under Contingency Condition through PSO Algorithm , 2011 .

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