232 Stabilization of tul order model with k(120741] V.Conclusions The nonlinear controller design procedure for a third order SMIB power system is developed using the Timo(socs) 2.5 feedback linearization.The same approach has been 386 extended to the nonlinear controller design for multi- machine systems.The stabilization and tracking ability of the nonlinear controller for a full order system are 3/0 05 .5 examined.Satisfactory results are obtained. References [1]G.Meyer and L.Cicolani,Application of nonlinear system inverses to automatic flight control design,NATO AGARDAG251,1980,Pp.234-391.· 15 2.5 3 [2]A.Isidori,Nonlinear Control Systems An introduction. 2Edition,Springer-Verlag,NewYork,1989. Fig.2 Stabilization of the full order system under lager [3]J.J.Slotine and W.Li,Applied Nonlinear Control, disturbance Prenctice Hall,New Jersey,1991. [4]H.Nijmeijer and A.J.Van Der Schaft,Nonlinear Dynamical Control systems,Springer-Verlag,NewYork. Tracking cf full order model with k-l120 74 15) 1990. [5]Q.Lu and Y.Sun,Nonlinear Stabilizing Control of Multimachine Systems,IEEE Transactions on Power .5 253 35 Systems.Vol.4,No.1.February,1989,pp.236-241. [6]W.Mielczarski and A.M.Zajaczkowski,Nonlinear Field 77 Voltage Control of a Synchronous Generator using Feedback Linearization,Automatica.Vol.30.No.10. 1994,pp.1625-1630. [7]D.C.Kennedy,Control of a Synchronous Generator by Input-Output Feedback Linearization,University of Waterloo,Ontario,Canada,1995. [8]Q.Lu and Y.Sun et al,Decentralized Nonlinear Optimal Excitation Control,IEEE Transactions on Power Systems Vol.11.No.4,November,1996,pp.1957-1962. 05 15 25 35 [9]J.W.Chapman and M.D.Ilic et al,Stabilizing a Multimachine Power System via Decentralized Feedback Fig.3 Tracking the operating point of the full order Linearization Excitation Control,IEEE Transactions on nonlinear model Power Systems,Vol.8,No.3,August,1993,pp.830-839. [10]P.W.Sauer,S.Ahmed-zaid and P.V.Kokotovic,An Tracking ol tul order mod6lwt格n2o7415别 internal Manifold approach to Reduced Order Dynamic Modeling of Synchronous Machines,IEEE Transactions on Power Systems,Vol.3,No.1,February,1988,pp.17- 23. 2.6 15 Fig.4 Tracking the large operating point (load angle is 1.2 radian)232 ml.;l P 0 0.5 1 1.5 2 2.5 3 3.5 4 5 0.5 Time(secs) - $370 < 0 0.5 1 15 2 2.5 3 35 4 l"(Secs) d 0 0.5 1 1.5 2 2.5 3 35 4 a, oi lime(secs) Fig. 2 Stabilization of the full order system under lager disturbance Tracking of full order model wi?h k+20 74 151 30.81 1 < Ti! 0.6 0 0.5 1 1.5 2 2.5 3 3.5 4 Ttmelsecs) .. - B 377.2 P z 37/0 0.5 1 1.5 2 2.5 3 3.5 4 Tme(secs) z 37/0 0.5 1 1.5 2 2.5 3 3.5 4 Tme(secs) ,//:I 0 0.5 1 1.5 2 2.5 3 3.5 4 0.8 Time(secs) Fig. 3 Tracking the operating point of the full order nonlinear model Tracklngoffuliodermodefwmi~[~2074 151 fl.5, 1 f 3 0.5 li 0 0.5 1 15 2 2.5 3 3.5 4 0 0.5 1 1.5 2 2.5 3 3.5 4 Tme(ssa) V. Conclusions The nonlinear controller design procedure for a third order SMlB power system is developed using the feedback linearization. The same approach has been extended to the nonlinear controller design for multi￾machine systems. The stabilization and tracking ability of the nonlinear controller for a full order system are examined. Satisfactory results are obtained. References [l] G. Meyer and L. Cicolani, Application of nonlinear system inverses to automatic flight control design, NATO [2] A. Isidori, Nonlinear Control Systems - An introduction, 2nd Edition, Springer-Verlag, NewYork, 1989. [3] J.J. Slotine and W. Li, Applied Nonlinear Control, Prenctice Hall, New Jersey, 1991. [4] H. Nijmeijer and A.J. Van Der Schaft, Nonlinear Dynumical Control systems, Springer-Verlag, NewYork, 1990. [5] Q. Lu and Y. Sun, Nonlinear Stabilizing Control of Multimachine Systems, IEEE Transactions on Power Systems, Vol. 4, No. 1, February, 1989, pp. 236-241. [6] W. Mielczarski and A.M. Zajaczkowski, Nonlinear Field Voltage Control of a Synchronous Generator using Feedback Linearization, Automatica, Vol. 30, No. 10, [7] D.C. Kennedy, Control of a Synchronous Generator by Input-Output Feedback Linearization, University of Waterloo, Ontario, Canada, 1995. [8] Q. Lu and Y. Sun et al, Decentralized Nonlinear Optimal Excitation Control, IEEE Transactions on Power Systems, Vol. 11, No. 4, November, 1996, pp. 1957-1962. [9] J.W. Chapman and M.D. Ilic et al, Stabilizing a Multimachine Power System via Decentralized Feedback Linearization Excitation Control, IEEE Transactions on Power Systems, Vol. 8, No. 3, August, 1993, pp. 830-839. [lO]P.W. Sauer, S. Ahmed-zaid and P.V. Kokotovic, An internal Manifold approach to Reduced Order Dynamic Modeling of Synchronous Machines, IEEE Transactions on Power Systems, Vol. 3, No. 1, February, 1988, pp. 17- 23. AGARDAG251, 1980, pp. 234-391. . 1994, pp. 1625-1630. Fig. 4 Tracking the large operating point (load angle is 1.2 radian)