Analysis of Reluctance Synchronous Motors Static Stability Using Routh-Hurwitz Criterion
Journal Title: ANALELE UNIVERSITATII DIN CRAIOVA - Seria Inginerie electrica - Year 2013, Vol 37, Issue 37
Abstract
This paper analyzes the static stability of the reluctance synchronous motors, by means of the Routh- Hurwitz criterion. In this purpose, there is made a brief introduction which presents the types of disturbances occurring during the operation of these motors. Two types of disturbances are possible: low value disturbances, defining the so-called static stability and finite value disturbances, defining the dynamic stability. In the first case, analyzed in the paper, the disturbances are relatively low and that is why the changes around a stable operation point are small; this way a linearization of the machine differential equations is possible. As a consequence, the stability study is simplified because the linearized system can be integrated by analytical methods or can be analyzed by means of the stability criteria. Further on the mathematical model used I presented. The starting point in this phenomenon analysis is the mathematical model of the reluctance synchronous motor written in the two axes theory without considering the saturation. These equations are then processed, in certain conditions, in order to obtain the operational mathematical model. The Routh-Hurwitz criterion is applied to this model and this way the conclusions have resulted. The reluctance synchronous motors may have an unstable operation when they are supplied by frequencies lower than 50 Hz. This instability means rotor oscillations around the synchronism speed; these oscillations disturb the mechanism operation and they even could lead to the machine de-synchronization. This phenomenon, encountered especially at the machines having high rotor asymmetry, is not caused by resistant torque shocks, by imperfections of the system or by supply voltage variations, but it is a phenomenon specific to the reluctance synchronous motor; sometimes it can occur even at the rated frequency.
Authors and Affiliations
Monica-Adela Enache, Sorin Enache
Keywords
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