Comparison Between "PQR" and Direct Elimination Methods of Formulating Power System Coefficient Matrices

Abstract

<p> In power systems, dynamic stability analysis is an important field of interest for both design and operation studies. This stability analysis requires the formulation of the linearized power system equations in the state-space form.</p> <p> In this thesis, the state-space matrices of multi-machine systems are constructed by implementing two matrix formulation techniques, the "PQR" and the direct elimination "ELIM" methods. Two computer programs have been devised to apply these formulation techniques. The programs are capable of handling systems up to a maximum order of 70, with available central memory of about 49,000 words (decimal). Another feature of these programs is their capability of accommodating generating units with different degrees of complexity, by allowing a variety of models for the sub-system components. Both programs have been applied to two test examples to illustrate their validity.</p> <p> The two formulation technique programs were compared from the point of view of computational time, storage requirements and eigenvalue sensitivity evaluation.</p>