Gain and phase margins based delay-dependent stability analysis of two-area LFC system with communication delays

This paper investigates the effect gain and phase margins (GPM) on delay-dependent stability analysis of a two-area load frequency control (LFC) system with communication delays. An frequency-domain based exact method that takes into account both gain and phase margins is utilized to determine stability delay margins in terms of system and controller parameters. A gain-phase margin tester (GPMT) is introduced to the LFC system as to take into gain and phase margins in delay margin computation. For a wide range of proportional — integral (PI) controller gains, time delay values at which LFC system is both stable and have desired stability margin measured by gain and phase margins are computed. The time-domain simulation studies indicate that delay margins must be determined considering gain and phase margins to have a better dynamic performance in term of fast damping of oscillations, less overshoot and settling time.

[1]  Chika O. Nwankpa,et al.  An Exact Method for Computing Delay Margin for Stability of Load Frequency Control Systems With Constant Communication Delays , 2016, IEEE Transactions on Power Systems.

[2]  Yong He,et al.  Further Results on Delay-Dependent Stability of Multi-Area Load Frequency Control , 2013, IEEE Transactions on Power Systems.

[3]  Rifat Sipahi,et al.  An exact method for the stability analysis of time-delayed linear time-invariant (LTI) systems , 2002, IEEE Trans. Autom. Control..

[4]  Kirk S. Walton,et al.  Direct method for TDS stability analysis , 1987 .

[5]  P. Kundur,et al.  Power system stability and control , 1994 .

[6]  C. Nett,et al.  A new method for computing delay margins for stability of linear delay systems , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.

[7]  C.-H. Chang,et al.  Gain margins and phase margins for control systems with adjustable parameters , 1990 .

[8]  K. Tomsovic,et al.  Application of linear matrix inequalities for load frequency control with communication delays , 2004, IEEE Transactions on Power Systems.

[9]  Ali Feliachi,et al.  Communication delays in wide area measurement systems , 2002, Proceedings of the Thirty-Fourth Southeastern Symposium on System Theory (Cat. No.02EX540).

[10]  Z. Rekasius,et al.  A stability test for systems with delays , 1980 .

[11]  Deqiang Gan,et al.  The stability of AGC systems with commensurate delays , 2007 .

[12]  Q. H. Wu,et al.  Delay-Dependent Stability for Load Frequency Control With Constant and Time-Varying Delays , 2009, IEEE Transactions on Power Systems.