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Problem statement: The speed stability if Induction Generators (IG) can be defined as its&#13; ability to remain connected to the electric network, operating at a mechanical speed close to the speed&#13; associated to the actual system frequency, after being subjected to a perturbation. This IG behavior is&#13; normally studied using dynamical methods that are determined through time-consuming simulations&#13; and are difficult to implement in simpler computational devices, such as microcontrollers, that are the&#13; basic component of electronic protection relays. In this way, the possibility to assess the speed stability&#13; of IGs through a simpler method becomes very desirable. Approach: This paper proposes a simple&#13; analytical method for assessing the speed stability of induction generators connected to distribution&#13; systems that can be easily implemented in microcontrollers, based on the determination of its critical&#13; speed and critical time. The formulation of the proposed method is founded on the electricalmechanical&#13; equilibrium equations associated to the steady-state operation condition in the classical&#13; induction machine model. Results: The developed method has four simple steps, based on&#13; mathematical equations obtained from the classical IG model and presented a mean difference less&#13; than 5% when compared with results obtained by dynamical simulations, tested in the context of a&#13; distribution electrical network that considers generator parameters, line parameters and capacitor bank&#13; variation. Conclusions/Recommendations: This analytical approach can be used as a guide to&#13; significantly reduce the simulation efforts, required to assess the induction generators stability in&#13; distribution networks and permits its implementation in less complex computational contexts, like&#13; microcontrollers. The reliability of the method has been attested by extensive simulation results

A Simple Algorithm to Assess the Speed Stability of Induction Generators