A Tool for the Comprehensive Analysis of Power System Dynamic Stability

This is an applications paper reporting on the methodological basis and the development of a production-grade software package for use in the dynamic stability (or "small disturbance") analysis of large power systems. This package, known as EISEMAN (EIgenSystem Evaluation-Machine And Network), is capable of studying a wide range of dynamic stability phenomena, such as subsynchronous resonance, intermachine rotor oscillations, and the effects of excitation and turbine-governor systems on stability. All of the eigenvalues of the system are calculated, as well as desired eigenvalue sensitivities. A noteworthy feature of this eigenvalue-based tool is its capability of modeling to various degrees of detail the dynamics of the power system components-the network, synchronous machines and control systems. This tool can also be used to develop root locus plots and the frequency response characteristics of the power system. The present version of EISEMAN can be used for the analysis of systems containing up to 250 machines, 1,500 buses, 2,000 lines, and 500 dynamic states. Several test cases demonstrate the application of this tool.

[1]  Åke Björck,et al.  Numerical Methods , 2020, Markov Renewal and Piecewise Deterministic Processes.

[2]  K. N. Stanton,et al.  Coherency based dynamic equivalents for transient stability studies , 1974 .

[3]  P. Kundur,et al.  Practical application of eigenvalue techniques in the analysis of power system dynamic stability problems , 1976, Canadian Electrical Engineering Journal.

[4]  J. E. Van Ness,et al.  Sensitivities of large, multiple-loop control systems , 1965 .

[5]  A. Germond,et al.  Development of dynamic equivalents for transient stability studies. Final report , 1977 .

[6]  J.M. Undrill,et al.  Subsynchronous oscillations part 1 ߞ comprehensive system stability analysis , 1976, IEEE Transactions on Power Apparatus and Systems.

[7]  D. Faddeev,et al.  Computational Methods of Linear Algebra , 1959 .

[8]  E. Kuh,et al.  The state-variable approach to network analysis , 1965 .

[9]  V. Brandwajn Representation of MAagnetic Saturation in the Synchronous Machine Model in an Electro-Mlagnetic Transients Program , 1980, IEEE Transactions on Power Apparatus and Systems.

[10]  R.T.H. Alden,et al.  Evaluating alternative models for power system dynamic stability studies , 1976, IEEE Transactions on Power Apparatus and Systems.

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

[12]  IEEE Report,et al.  Excitation System Models for Power System Stability Studies , 1981, IEEE Transactions on Power Apparatus and Systems.

[13]  J. E. Van Ness,et al.  Inverse iteration method for finding eigenvectors , 1969 .

[14]  Ieee Report,et al.  Dynamic Models for Steam and Hydro Turbines in Power System Studies , 1973 .

[15]  G. Gross,et al.  Synchronous Machine and Torsional Dynamics Simulation in the Computation of Electromagnetic Transients , 1978, IEEE Transactions on Power Apparatus and Systems.