Observer-based monitors and distributed wave controllers for electromechanical disturbances in power systems

The thesis deals with monitoring and control of system-wide electromechanical (or “swing”) dynamics in power systems. The first part of the thesis is devoted to observer-based monitoring, while the second part introduces novel decentralized controllers that exploit the wave nature of the swing disturbances in order to manipulate their propagation. Power system monitors can be used to estimate the full state of the system as well as identify and isolate a number of events (e.g., faults) using only sparse local measurements, all in the presence of various system disturbances. The thesis analyzes different observer realizations for the Differential Algebraic Equation (DAE) swing model of a power system, and highlights the advantages of designing singular observers (versus state-space observers) for DAE models. We investigate various design approaches, and introduce a novel graphical design approach using a directed graph that reflects system structure. Investigations into the type, number and placement of measurements are conducted. Design examples on small(9 bus) and large-scale (179 bus) power systems are discussed for both type of monitors. The second part of the thesis develops and exploits a spatio-temporally integrated view of electromechanical dynamics. This contrasts with the traditional approach of either studying temporal variations at fixed spatial points or investigating spatial variations of specified temporal behavior. We use a continuum model of the swing dynamics to expose the wave-like propagation of electromechanical disturbances and to gain insight for the design of controls. We develop strategies for decentralized control of these electromechanical waves, drawing on prototype controllers found in electromagnetic transmission line theory (e.g., matchedimpedance terminations) and active vibration damping (e.g., energy-absorbing controllers and vibration isolators). Finally, we propose various controllers to realize quenching or confining-and-quenching strategies, and test these in simulations of a 179-bus reduced-order representations of the WSCC network. Thesis Supervisor: George C. Verghese Title: Professor, Department of Electrical Engineering and Computer Science Thesis Supervisor: Bernard C. Lesieutre Title: Staff Scientist, Lawrence Berkeley National Laboratory

[1]  Shyh-Jier Huang,et al.  Application of a Robust Algorithm for Dynamic State Estimation of a Power System , 2002 .

[2]  J. Hauer,et al.  Emergence of a New Swing Mode in the Western Power System , 1981, IEEE Transactions on Power Apparatus and Systems.

[3]  Christian Commault,et al.  Generic properties and control of linear structured systems: a survey , 2003, Autom..

[4]  G. C. Verghese,et al.  Impedance matching controllers to extinguish electromechanical waves in power networks , 2002, Proceedings of the International Conference on Control Applications.

[5]  H. H. Happ,et al.  Power System Control and Stability , 1979, IEEE Transactions on Systems, Man, and Cybernetics.

[6]  Stephen P. Boyd,et al.  Linear Matrix Inequalities in Systems and Control Theory , 1994 .

[7]  C. DeMarco,et al.  A generalized eigenvalue perturbation approach to coherency , 1995, Proceedings of International Conference on Control Applications.

[8]  Richard D. Braatz,et al.  Fault Detection and Diagnosis in Industrial Systems , 2001 .

[9]  Atif S. Debs,et al.  A Dynamic Estimator for Tracking the State of a Power System , 1970 .

[10]  A. Preumont Vibration Control of Active Structures , 1997 .

[11]  João Yoshiyuki Ishihara,et al.  Impulse controllability and observability of rectangular descriptor systems , 2001, IEEE Trans. Autom. Control..

[12]  J. Hedrick,et al.  Nonlinear state estimation using sliding observers , 1986, 1986 25th IEEE Conference on Decision and Control.

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

[14]  K. Reinschke,et al.  Digraph characterization of structural controllability for linear descriptor systems , 1997 .

[15]  O. Samuelsson Load modulation at two locations for damping of electro-mechanical oscillations in a multimachine system , 2000, 2000 Power Engineering Society Summer Meeting (Cat. No.00CH37134).

[16]  Jie Chen,et al.  On eigenstructure assignment for robust fault diagnosis , 2000 .

[17]  R. Rajamani Observers for Lipschitz nonlinear systems , 1998, IEEE Trans. Autom. Control..

[18]  Paul M. Frank,et al.  Issues of Fault Diagnosis for Dynamic Systems , 2010, Springer London.

[19]  Robert A. Schlueter,et al.  A dynamic state estimator for power system dynamic security assessment , 1984, Autom..

[20]  L. Dai,et al.  Singular Control Systems , 1989, Lecture Notes in Control and Information Sciences.

[21]  C. D. Mote,et al.  TRAVELING WAVE DYNAMICS IN A TRANSLATING STRING COUPLED TO STATIONARY CONSTRAINTS: ENERGY TRANSFER AND MODE LOCALIZATION , 1998 .

[22]  Shengyuan Xu,et al.  Robust stability and stabilization for singular systems with state delay and parameter uncertainty , 2002, IEEE Trans. Autom. Control..

[23]  Kurt Johannes Reinschke,et al.  Multivariable Control a Graph-theoretic Approach , 1988 .

[24]  Rami Mangoubi Robust Estimation and Failure Detection: A Concise Treatment , 1998 .

[25]  Babak Ayazifar,et al.  Graph spectra and modal dynamics of oscillatory networks , 2002 .

[26]  Ali Abur,et al.  An improved measurement placement method against loss of multiple measurements and branches , 2002, 2002 IEEE Power Engineering Society Winter Meeting. Conference Proceedings (Cat. No.02CH37309).

[27]  Olof Samuelsson Power System Damping - Structural Aspects of Controlling Active Power , 1997 .

[28]  Volker Mehrmann,et al.  Disturbance decoupled observer design for descriptor systems , 1999 .

[29]  Janos Gertler,et al.  Fault detection and diagnosis in engineering systems , 1998 .

[30]  Th. Van Cutsem,et al.  Whither dynamic state estimation , 1990 .

[31]  T. Kailath,et al.  A generalized state-space for singular systems , 1981 .

[32]  P. Kokotovic,et al.  Feasibility conditions for circle criterion designs , 2001 .

[33]  Peter C. Müller,et al.  Observer design for descriptor systems , 1999, IEEE Trans. Autom. Control..

[34]  Marija D. Ilic,et al.  Dynamics and control of large electric power systems , 2000 .

[35]  Petar V. Kokotovic,et al.  Observer-based control of systems with slope-restricted nonlinearities , 2001, IEEE Trans. Autom. Control..

[36]  Guang-Ren Duan,et al.  Robust fault detection in descriptor linear systems via generalized unknown input observers , 2002, Int. J. Syst. Sci..

[37]  Arthur R. Bergen,et al.  Power Systems Analysis , 1986 .

[38]  D. N. Shields Observer design and detection for nonlinear descriptor systems , 1997 .

[39]  Arun G. Phadke,et al.  Electromechanical wave propagation in large electric power systems , 1998 .

[40]  Shengyuan Xu,et al.  Robust H ∞ filtering for a class of non-linear systems with state delay and parameter uncertainty , 2002 .

[41]  A. Packard,et al.  Gain scheduling the LPV way , 1996, Proceedings of 35th IEEE Conference on Decision and Control.

[42]  Joe H. Chow,et al.  Dynamic state estimation in power system using a gain-scheduled nonlinear observer , 1995, Proceedings of International Conference on Control Applications.