Effective Reduction Techniques of the Park Equations to Tackle Power System Stability Problems

Abstract

Paper represents the subtle analytical technique, applicable to the problem of reasonable reduction of Park-Gorev equations, theoretically formulated and sporadically discussed ever since the classical model of electric power system (EPS) has been widely introduced to analyze transient phenomena and steady-state modes of single- and multimachine system. The derived equations of quazi-stationary modes give the correct solutions for synchronous and asynchronous modes of the electrical machines. Analytical approach presents a valuable theoretical basis for eliminating the shortcomings of reduced classical model and helps to represent the EPS components, including machines, lines and loads with regard the true features of physical system.