Abstract
Out of many problems to be resolved and improved in modern power systems, the economy and reliability of power systems are the two main categories. Reliability consists of two different aspects. One is how to choose the ways of connection of power plants, substations, and power networks to minimize the probability of occurrence of such accidents that lead to power cut. Problems pertaining to this aspect can be called the static or structural reliability of power systems. The other is the stability of power systems, that is, the ability of power systems to keep in synchronization among the generators under small or large disturbances. Problems in this aspect can be called the dynamic reliability or dynamic security of power systems [25, 54].
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
A. A. Fouad and Vijay Vittal, Power System Transient Stability Analysis Using the Transient Energy Function Method. Prentice -Hall, 1992
A. Isidori, “H∞ Control via Measurement Feedback for Affine Nonlinear Systems”, International Journal of Robust and Nonlinear Control, Vol.4, pp. 553–574, 1994.
A. Isidori, Nonlinear Control Systems: An Introduction (3rd Edition), Springer-Verlag, New York, 1995.
A. Isidori and A. Astolfi, “Disturbance Attenuation and H∞ Control via Measurement Feedback in Nonlinear Systems”, IEEE Trans. AC, Vol. 37, No. 10, pp. 1283–1293, 1992.
A. K. Bejczy, T. J. Tarn and Y. L. Chen, “Robot Arm Dynamic Control by Computer”, IEEE Int. Conf. Robotics and Ant., St. Louis, 1985.
B. Jakubczyk and W. Respondek, “On Linearization of Control Systems”, Bull. Acad. Polon. Sei., Math., 1980.
C. A. King, J. W. Chapman and M. D. Ilic, “Feedback Linearizing Excitation Controller on a Full-scale Power System Model”, IEEE Trans. PWRS, Vol. 9, pp. 1102–1109, 1994
D. Cheng, T. J. Tarn and A. Isidori, “Global Linearization of Nonlinear Systems Via Feedback”, IEEE Trans. AC, Vol. 30, No. 8, pp. 808–811, 1985.
D. P. Atherton, Stability of Nonlinear Systems, John Wiley, NewYork, 1981.
F. P. Demello and C. Concordia, “Concepts of Synchronous Machine Stability as Affected by Excitation Control”, IEEE Trans. Power Appar. Syst., pp. 316–329, April, 1969.
F. W. Warner, Foundations of Differential Manifolds and Its Lie Groups, Scott, Foresman, Glenview, 1970.
G. Meyer, L. R. Hunt and R. Su, “Design of a Helicopter Autopilot by Means of Linearizing Transformations”, Guidance and Control Panel 35th Symposium, Lisbon, Portugel (AGARD Conf. Proc. No. 321), 1983.
G. Meyer, R. Su and L. R. Hunt, “Application of Nonlinear Transformation to Automatic Flight Control”, Automatic, Vol. 20, No.1, 1984.
H. D. Chiang, M. W. Hirsch and F. F. Wu, “Stability Regions of Nonlinear Autonomous Dynamical Systems”, IEEE Trans. AC, Vol. 33, No. 1, pp. 16–27, 1988.
H. J. Sussmann, “Lie bracket, real analyticity and geometric control”, in Geometric theory of nonlinear control systems, Birkhauser, Boston, pp. 1–116, 1983.
H. Kwakernak and R. Sivan, Linear Optimal Control Systems, Wiley, New York, 1972.
H. Nijmeijer and A. J. van der Schaft, Nonlinear Dynamic Control Systems, Springer-Verlag, New York, 1990.
H. S. Tsien, Engineering Cybernetics, New York, McGraw-Hill Book Company, Inc., 1958.
I. M. Mareeis and D. J. Hill, “Monotone Stability of Nonlinear Feedback Systems”, Journal of Mathematical Systems, Estimation, and Control,. Vol. 2, No. 3, pp. 275–291, 1992.
J. H. Anderson, “The Control of A Synchronous Machine Using Optimal Control Theory”, Proc. IEEE 90, pp. 25–35, 1971
J. Hammer, “Nonlinear Systems, Stabilization, and Coprimeness”, Int. J. Contr. Vol.42, pp. 1–20, 1985.
J. M. Coron, “Linearized Control Systems and Applications to Smooth Stabilization”, SIAM J. Control Optim. Vol. 32, pp. 358–386,1994.
J. Wang, W. J. Rugh, “Feedback Linearization Families for Nonlinear Systems”, IEEE Trans. AC, Vol. 32, pp.935–940, 1987.
J. Zaborszky, G. Huang, B. Zheng and T. C. Leung, “On the Phase Portrait of a Class of Large Nonlinear Dynamic Systems Such As the Power System”, IEEE Trans. AC, Vol. 33, No. l,pp.4–15, 1988.
M. A. Pai, Power System Stability, New York: North Holland, 1981.
M. Klein, G. J. Rogers, S. Moorty, and P. Kundur. “Analytical Investigation of Factors Influencing Power System Stabilizer Performance”, IEEE EC, Vol. 7, pp.382–388, 1992.
M. Spivk, A Comprehensive Introduction to Differential Geometry, Vol. I, Publish or Peremish, Boston, 1970.
M. Vidyasagar, Nonlinear Systems Analysis, Englewood Cliffs, NJ: Prentice-Hall, 1978.
M. Zribi, J. Chiasson, “Exact Linearization Control of a PM Stepper Motor”, Proc. American Control Conference, Pittsburgh, 1989.
N. Kalouptsidis and J. Tsinias, “Stability Improvement of Nonlinear Systems by Feedback”, IEEE Trans. AC, Vol. 29, pp. 364–367, 1984.
P. Kunder, Power System Stability and Control, McGraw-Hill, Inc. 1994.
P. M Anderson, and A. A. Fouad, Power System Control and Stability, IEEE Press, New York, 1994.
Q. Lu, and Y. Sun, “Nonlinear Stabilizing Control of Multimachine Systems”, IEEE Trans. PES, Vol. 4, No.1, pp. 236–241, 1989.
Q. Lu, S. Mei, T. Shen and W. Hu, “Recursive Design of Nonlinear Hx Excitation Controller”, Science in China(series E), Vol. 43, No. 1, pp23–31, 2000.
Q. Lu, S. Mei, W. Hu and Y. H. Song, “Decentralized Nonlinear H∞ Excitation Control Based on Regulation Linearization”, IEE Proc-Gener. Transm. Distrib., Vol 147, No. 4, pp245–251,2000.
Q. Lu, Y. Sun and Gordon K.F. Lee, “Nonlinear Optimal Excitation Control For Multimachine Systems”, IFAC Symposium on Power System Modeling and Control Application, Brussels, Sept., 1988.
Q. Lu, Y. Sun, Z. Xu and Y. Mochizuki, “Decentralized Nonlinear Optimal Excitation Control”. IEEE Trans. PWRS, Vol. 11, No. 4, pp. 1957–1962, 1996.
R. Bellman, Dynamic Programming, Princeton University Press, Princeton, 1957.
R. Bellman, Introduction to Matrix Analysis, McGraw-Hill Book Company, New York, 1960.
R. E. Kaiman, “Mathematical Description of Linear Dynamical Systems”, J. SIAM Control. Ser. A, Vol. 1, pp. 152–192, 1963.
R. Marino, “On the Largest Feedback Linearizable Subsystem”, System & Control Letters, Vol. 6, pp.345–351, 1986.
R. Marino, W. M. Boothby, D. L. Elliott, “Geometric Properties of Linearizable Control Systems”, Math. Systems Theory, Vol. 18, pp. 97–123, 1985.
R. Su, “On the Linear Equivalence of Nonlinear Systems”, System & Control Letters, Vol. 2, pp.48–52, 1982.
R. W. Brockett, “Nonlinear Systems and Differential Geometry”, Proc. IEEE, Vol. 64, No.1, 1976.
S. P. Banks, Mathematical Theories of Nonlinear Systems, Prentice Hall, Hertfordshire, 1988.
T. Basar, “Disturbance Attenuation in LTI Plants with Finite Horizon: Optimality of Nonlinear Controllers”, Systems & Control Letters, Vol. 13, pp.183–191, 1989.
T. J. Tarn, A K Bejczy, A Isidori and Y L Chen, “Nonlinear Feedback in Robot Arm Control”, Proc. 23rd IEEE Conf. Dec. Contr., Las Vegas, 1984.
Van Schaft, “L2-Gain Analysis of Nonlinear Systems and Nonlinear State Feedback Hx Control”, IEEE Trans. AC, Vol. 33, No. 6, pp.770–784, 1992.
W. A. Boothby, An Introduction to Differential Manifold and Riemannian Geometry, Academic, New York, 1975.
W. Kang, “Nonlinear H∞ Control and Its Applications to Rigid Spacecraft”, IEEE Trans. AC, Vol. 40, pp. 1281–1285, 1998.
W. Mielczarski and A. Zajaczkowski, “Nonlinear Field Voltage Control of a Synchronous Generator Using Feedback Linearization”, Automatica Vol. 30, pp. 1625–1630, 1994.
W. Respondek, “Linearization, feedback and Lie Brackets”, in Geometric theory of nonlinear control systems, Technical University of Wroclaw, Poland, pp.131–166, 1985.
W. Respondek, Geometric Methods in Linearization Nonlinear Systems in Mathematical Control Theory, Banach Center Publications, Polish Scientific Publishers, Warsaw, pp. 453–467, 1985.
Y. N. Yu, Electric Power System Dynamics, Academic Press, 1983.
Y. N. Yu, K. Vongsuriya and L. N. Wedman, “Application of an optimal Control Theory to a Power System”, IEEE Trans. Power Appar. Syst., pp. 55–62, Jan., 1970.
Y. Sun, Q. Lu and J. Gao, “A New Nonlinear Modulation Control for HVDC Power Transmission Systems”, CSEE/IEEE International Conference on Power System Technology, Beijing, Sept., 1991.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2001 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Lu, Q., Sun, Y., Mei, S. (2001). Introduction. In: Nonlinear Control Systems and Power System Dynamics. The Springer International Series on Asian Studies in Computer and Information Science, vol 10. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-3312-9_1
Download citation
DOI: https://doi.org/10.1007/978-1-4757-3312-9_1
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4419-4885-4
Online ISBN: 978-1-4757-3312-9
eBook Packages: Springer Book Archive