Efficient algorithms are presented for the solution of two important problems in the area of damping control of electromechanical oscillations in large-scale systems. The proposed algorithms allow the determination of: the most suitable generators for installing power system stabilizers; the most suitable buses in the system for placing static VAr compensators in order to damp the critical modes of oscillation. These algorithms involve the calculation of transfer function residues and represent an important extension of the powerful methodology described by V. Arcidiaconos et al. (see IEEE Trans. Power Apparatus and Systems, vol.PAS-99, p.769-78, 1980), whose use was up to now restricted to power systems of limited size. A major advantage of this methodology is that there is no limitation on the degree of modeling of the power system being studied. >

Determination of suitable locations for power system stabilizers and static VAr compensators for damping electromechanical oscillations in large scale power systems

Mathematical Model and Solution of Electric Network.- Load Flow Analysis.- Stochastic Security Analysis of Electrical Power Systems.- Power Flow Analysis in Market Environment.- HVDC and FACTS.- Mathematical Model of Synchronous Generator and Load.- Power System Transient Stability Analysis.- Small-Signal Stability Analysis of Power Systems.

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Modern Power Systems Analysis

A package of integrated programs for small-signal stability analysis of large interconnected power systems is described. The package has extensive modeling capability and uses alternative eigenvalue calculation techniques, making it suitable for the analysis of a wide range of stability and control problems. Results of eigenvalue calculations for three power systems of differing size and complexity are presented and the accuracy, consistency and convergence of the alternative calculation methods are discussed. >

A comprehensive computer program package for small signal stability analysis of power systems

Two sparsity-based eigenvalue simultaneous iterations and the modified Arnoldi method are presented and their application to the small signal stability analysis of large power systems is discussed. An algorithm utilizing these two methods is proposed for calculating the eigenvalues around a fixed point which can be placed at will in various parts of the complex plane. The sparsity is fully preserved in the algorithm by using the augmented system state equations as the linearized power system small signal model and performing the corresponding sparsity-oriented calculations. Several applications of the algorithm are discussed and illustrated by numerical examples. Comparisons are made for the two eigenvalue methods with other techniques. >

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Application of sparse eigenvalue techniques to the small signal stability analysis of large power systems

Variable impedance apparatus such as a static VAr compensator (SVC) and a variable series capacitor (VSC) can improve the steady-state stability of a power system if they are located appropriately. The present paper proposes an index for identifying the location of SVC and VSC in large scale power systems for effective damping. The index is called LIED (location index for effective damping) by the authors. Since LIED can be computed quickly for large scale power systems which have more than two hundred generators without conducting a number of digital simulations and eigenvalue analyses, it is valuable for the system planner who needs to identify the effective location of SVC and VSC. The proposed index is applied to the New England test system and its validity is demonstrated through digital simulations. >

A method for identification of effective locations of variable impedance apparatus on enhancement of steady-state stability in large scale power systems

The authors discuss an advanced version of the S matrix method, an eigenvalue technique for the analysis of the steady-state stability (or the stability against small signals) of large power systems. The dynamic characteristics of power systems can be linearly approximated with a set of differential equations. The technique transforms the matrix A into the matrix S and then determines several eigenvalues with the largest absolute values from matrix S that correspond to the dominant eigenvalues of matrix A. In the process of identifying the appropriate eigenvalues, the method uses the refined Lanczos process, which makes high-speed calculation possible through the use of the sparsity and the structural uniformity of matrices. >

N. Uchida

Papers

A new eigen-analysis method of steady-state stability studies for large power systems: S matrix method