5e1cd53d-d883-4890-bf89-1f201980b09720211126051440011naun:naunmdt@crossref.orgMDT DepositInternational Journal of Energy and Environment2308-100710.46300/91012http://www.naun.org/cms.action?id=3043324202132420211510.46300/91012.2021.15https://www.naun.org/cms.action?id=23309A.El kashlanDepartment of Electrical Engineering, Academy for Science and Technology, P. O.Box 1029 , Alexandria, EgyptShadyEl kashlanDepartment of Electrical Engineering, Academy for Science and Technology, P. O.Box 1029 , Alexandria, EgyptSignificant advances in power system control design techniques that can take into consideration plants linearized around a number of operating conditions. Most of these techniques are based on eigenspectrum analysis which has numerous advantages. A wealth of applications of eigenstructure assignment are available in the literature and showed that new applications have been found and parametric solution of eigenspectrum assignment can be used successfully to design feedback controllers. The use of supplementary controller added to the automatic voltage regulator (AVR) is a practical effective way to supply additional positive damping to system oscillations via power system stabilizers. The present paper utilizes eigenspectrum analysis in the practical design of proportional integral (PI) type power system stabilizers, in order to achieve good steady state as well as transient response characteristics. Eigenspectrum analysis is attractive since it takes into account freedom in determining feedback gains and provides the frequencies and the damping at each frequency for the entire system in a single calculation. Moreover sensitivity of eigenvalues and eigenvectors with respect to parameter variations are assessed so as to provide information to improve setting parameters for power system damping and stability, without ignoring the operating conditions. The results of eigenvalue/eigenvector sensitivity are tangible for analysis with a wide range of parameter variations and is presented through the right and left eigenvectors of the system matrix and also through Taylor series analysis.1126202111262021848914https://www.naun.org/main/NAUN/energyenvironment/2021/a282011-014(2021).pdf10.46300/91012.2021.15.14https://www.naun.org/main/NAUN/energyenvironment/2021/a282011-014(2021).pdfI.O. Elgerd, Electric Energy System Theory: An Introduction, McGraw-Hill Inc., New York, 1982. J. Machowski, J.W. Bialek and J.R. Bumby, Power System Dynamics: Stability and Control, 2nd ed., John Wiley & Sons, Ltd., 2008. A.R. Bergen and V. Vittal, Power System Analysis, Prentice-Hall, Inc., Englewood Cliffs, N.J., 2000. P. Kundur, Power System Stability and Control, McGraw-Hill Inc., New York, 1994. 10.1109/59.852138P.S. Rao and I. Sen, “Robust Pole Placement Stabilizer Design Using Linear Matrix Inequalities,” IEEE Trans. Power Syst., vol.15, no.1, pp. 313-319, Feb. 2000. 10.1049/ip-c.1991.0033M. Aldeen and J.F. Marsh, “Decentralised proportional-plus-integral design method for interconnected power systems,” IEE Proceedings-C, vol.138, no.4, pp. 263-274, July 1991. Xi-Fan Wang, Y. Song and M. Irving, Modern Power Systems Analysis, Springer Science, 2008. K.J. Astrom and T. Hagglund, PID Controllers: Theory, Design and Tuning, 2nd ed., Instrument Society of America, Research Triangle Park, NC, 1995. R.C. Dorf and R.H. Bishop, Modern Control Systems, 12th ed., Pearson Education, Inc., Upper Saddle River, NJ, 2011. 10.1109/59.898103G.E. Boukarim, S. Wang, J.H. Chow, G.N. Taranto and N. Martins, “A Comparison of Classical, Robust, and Decentralized Control Designs for Multiple Power System Stabilizers,” IEEE Trans. Power Syst., vol.15, no.4, pp.1287-1292, November 2000. 10.1109/tpwrs.2003.811176C. Zhu, M. Khammash, V. Vittal, and W. Qiu, “Robust Power System Stabilizer Design Using H∞ Loop Shaping Appraoch,” IEEE Trans. Power Syst., vol.18, no.2, pp. 810-818, May 2003. 10.1109/59.910792M.J. Gibbard, N. Martins, J.J. Sanchez-Gasca, N. Uchida, V. Vittal, and L. Wang, “Recent Applications of Linear Analysis Techniques,” IEEE Trans. Power Syst., vol.16, no.1, pp. 154-162, Feb. 2001. 10.17485/ijst/2011/v4i4.15H.F. Boroujeni, S.M.S. Boroujeni and R. Hemmati, “Robust PID power system stabilizer design based on pole placement and nonlinear programming methods,” Indian Journal of Science and Technology, vol.4, no.4, pp. 456-461, April 2011. E. Rosenwasser and R. Yusupov, Sensitivity of Automatic Control Systems, CRC Press, 2000. T.Samad and A.M.Annaswamy (eds.),"The impact of control theory, overview, success stories, and research challenges," IEEE Control Systems Society, Febreurary 2011.