Stability and Oscillations of Electrical Machines of Alternating Current

Method of estimating transients in induction machines

“…This work is a direct continuation and extension of studies initiated in (Leonov, 2006a;Leonov and Kondrat'eva, 2009;Solovyeva, 2011) Structure of the work. The work is devoted to the development of differential equations of induction motors and their stability analysis.…”

“…In addition, the Lyapunov functions are used. Following (Leonov and Kondrat'eva, 2009), let us introduce the following definitions.…”

“…The equations of induction motors in these coordinates under different simplifying assumptions were derived and studied in the works (Ahmad, 2010;Bose, 2006;Chiasson, 2005;De Doncker et al, 2011;Krause et al, 2002;Marino et al, 2010;Ong, 1998;Sul, 2011;Wach, 2011). However, in this thesis following (Leonov, 2004(Leonov, , 2006aLeonov and Kondrat'eva, 2009) the coordinate system, rigidly connected with rotating magnetic field, is chosen. It allows one to describe in more details dynamics of rotor.…”

“…The dynamic stability problem of electric machines is closely related to the limit (ultimate) load problem (Annett, 1950;Yanko-Trinitskii, 1958;Haque, 1995;Das, 2002;Bianchi, 2005;Leonov and Kondrat'eva, 2009). In the practice of operation of electric machines there are situations, in which a sudden change of outer load or change of voltage occurs.…”

“…For alternating current induction machines the elements of this method were introduced in (Leonov, 2004(Leonov, , 2006aLeonov and Kondrat'eva, 2009), where the limit load problem was considered.…”