Definition and classification of power system stability IEEE/CIGRE joint task force on stability terms and definitions

The problem of defining and classifying power system stability has been addressed by several previous CIGRE and IEEE Task Force reports. These earlier efforts, however, do not completely reflect current industry needs, experiences and understanding. In particular, the definitions are not precise and the classifications do not encompass all practical instability scenarios. This report developed by a Task Force, set up jointly by the CIGRE Study Committee 38 and the IEEE Power System Dynamic Performance Committee, addresses the issue of stability definition and classification in power systems from a fundamental viewpoint and closely examines the practical ramifications. The report aims to define power system stability more precisely, provide a systematic basis for its classification, and discuss linkages to related issues such as power system reliability and security.

[1]  Charles P. Steinmetz,et al.  Power Control and Stability of Electric Generating Stations , 1920, Transactions of the American Institute of Electrical Engineers.

[2]  First Report of Power System Stability , 1937, Transactions of the American Institute of Electrical Engineers.

[3]  N. G. Parke,et al.  Ordinary Differential Equations. , 1958 .

[4]  P. Hartman.  Ordinary Differential Equations , 1965 .

[5]  R. Saeks,et al.  The analysis of feedback systems , 1972 .

[6]  J. Willems.  A partial stability approach to the problem of transient power system stability , 1974 .

[7]  F. Takens.  Constrained equations; a study of implicit differential equations and their discontinuous solutions , 1976 .

[8]  A. Fuller,et al.  Stability of Motion , 1976, IEEE Transactions on Systems, Man, and Cybernetics.

[9]  A. Michel,et al.  Qualitative analysis of interconnected dynamical systems with algebraic loops: Well-posedness and stability , 1977 .

[10]  N. Rouche,et al.  Stability Theory by Liapunov's Direct Method , 1977 .

[11]  K. Carlsen,et al.  Operating under stress and strain [electrical power systems control under emergency conditions] , 1978, IEEE Spectrum.

[12]  A. D. Patton,et al.  Power system reliability evaluation , 1979 .

[13]  P. Moylan,et al.  Connections between finite-gain and asymptotic stability , 1980 .

[14]  P. Kundur.  A Survey of Utility Experience with Power Plant Response During Partial Load Rejection and System Disturbances , 1981, IEEE Transactions on Power Apparatus and Systems.

[15]  M. El-sherbiny.  Proposed Terms and Definitions for Power System Stability Task Force on Terms & Definitions System Dynamic Performance Subcommittee Power System Engineering Committee , 1982, IEEE Power Engineering Review.

[16]  V. Vorotnikov.  On stability and stabilization of motion with respect to a part of the variables , 1982 .

[17]  P. Holmes,et al.  Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields , 1983, Applied Mathematical Sciences.

[18]  Power Response.  Guidelines for Enhancing Power Plant Response to Partial Load Rejections , 1983, IEEE Transactions on Power Apparatus and Systems.

[19]  P. Kundur,et al.  Impact of Turbine Generator Overspeed Controls on Unit Performance Under System Disturbance Conditions , 1985, IEEE Transactions on Power Apparatus and Systems.

[20]  Charles Concordia,et al.  Power System Stability , 1985, IEEE Power Engineering Review.

[21]  Stability and stabilization of motion with respect to part of the variables , 1987 .

[22]  Q. B. Chou,et al.  Improving Nuclear Generating Station Response for Electrical Grid Islanding , 1989, IEEE Power Engineering Review.

[23]  J. M. Noworolski,et al.  Generalized averaging method for power conversion circuits , 1990, 21st Annual IEEE Conference on Power Electronics Specialists.

[24]  K. R. Padiyar,et al.  ENERGY FUNCTION ANALYSIS FOR POWER SYSTEM STABILITY , 1990 .

[25]  D. Hill,et al.  Stability theory for differential/algebraic systems with application to power systems , 1990 .

[26]  G.S. Vassell,et al.  Northeast Blackout of 1965 , 1990, IEEE Power Engineering Review.

[27]  Venkataramana Ajjarapu,et al.  The continuation power flow: a tool for steady state voltage stability analysis , 1991 .

[28]  Vijay Vittal,et al.  Power System Transient Stability Analysis Using the Transient Energy Function Method , 1991 .

[29]  D. Hill,et al.  Fast calculation of a voltage stability index , 1992 .

[30]  P. Kundur,et al.  Voltage stability analysis using static and dynamic approaches , 1993 .

[31]  David J. Hill,et al.  Nonlinear dynamic load models with recovery for voltage stability studies , 1993 .

[32]  M. Vidyasagar,et al.  Nonlinear systems analysis (2nd ed.) , 1993 .

[33]  Stefan Arnborg,et al.  On the analysis of long-term voltage stability , 1993 .

[34]  K. L. Praprost,et al.  A stability theory for constrained dynamic systems with applications to electric power systems , 1994, Proceedings of 1994 American Control Conference - ACC '94.

[35]  H. Schättler,et al.  On the dynamics of differential-algebraic systems such as the balanced large electric power system , 1995 .

[36]  P. Kundur,et al.  Towards the development of a systematic approach for voltage stability assessment of large-scale power systems , 1996 .

[37]  F. Paganini.  A set-based approach for white noise modeling , 1996, IEEE Trans. Autom. Control..

[38]  K. L. Praprost,et al.  A stability theory for constrained dynamic systems with applications to electric power systems , 1996 .

[39]  A. Invernizzi,et al.  Power system security assessment: a position paper , 1997 .

[40]  T. Van Cutsem,et al.  Validation of a fast voltage stability analysis method on the Hydro-Quebec system , 1997 .

[41]  V. I. Vorotnikov.  Partial stability and control , 1998 .

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

[43]  J. Willems.  Path integrals and stability , 1998 .

[44]  Graham Rogers,et al.  Power System Oscillations , 1999 .

[45]  T. Van Cutsem,et al.  Voltage instability: phenomena, countermeasures, and analysis methods , 2000, Proc. IEEE.

[46]  Aleksandar M. Stankovic,et al.  Analysis of asymmetrical faults in power systems using dynamic phasors , 2000 .

[47]  John N. Tsitsiklis,et al.  A survey of computational complexity results in systems and control , 2000, Autom..

[48]  Sumit Ghosh,et al.  The concept of "stability" in asynchronous distributed decision-making systems , 2000, IEEE Trans. Syst. Man Cybern. Part B.

[49]  R. Decarlo,et al.  Perspectives and results on the stability and stabilizability of hybrid systems , 2000, Proceedings of the IEEE.