TY  - JOUR
AU  - Mota, Alexandre Assis 
AU  - Mota, Lia Toledo Moreira 
PY  - 2011
TI  - A Simple Algorithm to Assess the Speed Stability of Induction Generators
JF  - Journal of Computer Science
VL  - 7
IS  - 6
DO  - 10.3844/jcssp.2011.823.831
UR  - https://thescipub.com/abstract/jcssp.2011.823.831
AB  - Problem statement: The speed stability if Induction Generators (IG) can be defined as its
ability to remain connected to the electric network, operating at a mechanical speed close to the speed
associated to the actual system frequency, after being subjected to a perturbation. This IG behavior is
normally studied using dynamical methods that are determined through time-consuming simulations
and are difficult to implement in simpler computational devices, such as microcontrollers, that are the
basic component of electronic protection relays. In this way, the possibility to assess the speed stability
of IGs through a simpler method becomes very desirable. Approach: This paper proposes a simple
analytical method for assessing the speed stability of induction generators connected to distribution
systems that can be easily implemented in microcontrollers, based on the determination of its critical
speed and critical time. The formulation of the proposed method is founded on the electricalmechanical
equilibrium equations associated to the steady-state operation condition in the classical
induction machine model. Results: The developed method has four simple steps, based on
mathematical equations obtained from the classical IG model and presented a mean difference less
than 5% when compared with results obtained by dynamical simulations, tested in the context of a
distribution electrical network that considers generator parameters, line parameters and capacitor bank
variation. Conclusions/Recommendations: This analytical approach can be used as a guide to
significantly reduce the simulation efforts, required to assess the induction generators stability in
distribution networks and permits its implementation in less complex computational contexts, like
microcontrollers. The reliability of the method has been attested by extensive simulation results.