Damping Inter Area Oscillations of Power Systems by a Fractional Order PID Controller

A Fractional Order PID (FOPID) controller to damp inter area oscillations of power systems is studied. FOPID is a PID whose derivative and integral orders are fractional rather than integer. The difficulty of design a FOPID controller is how to determine the five key parameters of FOPID. This paper uses Genetic Algorithm Particle Swarm Optimization (GAPSO) algorithm to design the FOPID controller. A new cost function is defined to facilitate the control strategies over the time domain specifications. Comparisons with a conventional PID controller are made and it is shown that the proposed FOPID controller can highly improve the system robustness with respect to model uncertainties.

[1]  Yuhui Shi,et al.  Particle swarm optimization: developments, applications and resources , 2001, Proceedings of the 2001 Congress on Evolutionary Computation (IEEE Cat. No.01TH8546).

[2]  Balarko Chaudhuri,et al.  Mixed-sensitivity approach to H/sub /spl infin// control of power system oscillations employing multiple FACTS devices , 2003 .

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

[4]  J.V. Milanovic,et al.  Damping of Inter-area Oscillations by WAM Based Supplementary Controller , 2007, 2007 IEEE Power Engineering Society General Meeting.

[5]  B. Friedland,et al.  Routh approximations for reducing order of linear, time-invariant systems , 1975 .

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

[7]  Imad M. Jaimoukha,et al.  Mixed-sensitivity approach to H/sub /spl infin// control of power system oscillations employing multiple FACTS devices , 2003, 2003 IEEE Power Engineering Society General Meeting (IEEE Cat. No.03CH37491).

[8]  K. Miller,et al.  An Introduction to the Fractional Calculus and Fractional Differential Equations , 1993 .

[9]  K. B. Oldham,et al.  The Fractional Calculus: Theory and Applications of Differentiation and Integration to Arbitrary Order , 1974 .

[10]  O. Marichev,et al.  Fractional Integrals and Derivatives: Theory and Applications , 1993 .

[11]  Dong Liu,et al.  Optimal placement of PMUs in power systems based on improved PSO algorithm , 2008, 2008 3rd IEEE Conference on Industrial Electronics and Applications.